PLEASE HURRY!

The box plot shows the times for sprinters on a track team.

A horizontal number line starting at 40 with tick marks every one unit up to 59. The values of 42, 44, 50, 54, and 56 are all marked by the box plot. The graph is titled Sprinters' Run Times, and the line is labeled Time in Seconds.

Which of the following is the five-number summary for this data?

Min = 42, Q1 = 44, Median = 50, Q3 = 54, Max = 56
Min = 41, Q1 = 43, Median = 49.5, Q3 = 56, Max = 58
Min = 44, Q1 = 48, Median = 50.5, Q3 = 53, Max = 56
Min = 42, Q1 = 45, Median = 49, Q3 = 56, Max = 58

Answers

Answer 1
The correct five-number summary for this data is:

Min = 42, Q1 = 44, Median = 50, Q3 = 54, Max = 56

This is determined based on the given values marked on the box plot. The minimum value is 42, the lower quartile (Q1) is 44, the median is 50, the upper quartile (Q3) is 54, and the maximum value is 56.

Related Questions

What is the exact length of HG in cms

Answers

Let's solve ~

The given triangle is a right angled triangle, therefore the rules of basic Trigonometry can be used here to find the solution.

Considering angle G, lets find sin 45°

[tex]\qquad\displaystyle \tt \dashrightarrow \: \sin(45 \degree) = \frac{opposite \:\: side}{hypotenuse} [/tex]

[ sin 45° = 1/√2 ]

[tex]\qquad\displaystyle \tt \dashrightarrow \: \frac{1}{ \sqrt{2} } = \frac{b}{x} [/tex]

[tex]\qquad\displaystyle \tt \dashrightarrow \: x = b \sqrt{2} \: \: cm[/tex]

So, the side HG is b√2 cm long

Which expression is equal to x-9/x-4 + x^2-x+5/x-4

Answers

Answer: The expression can be simplified by combining the fractions with a common denominator:

(x - 9)/(x - 4) + (x^2 - x + 5)/(x - 4)

To add these fractions, we need to find a common denominator, which in this case is (x - 4). Therefore, we can rewrite each fraction with the common denominator:

[(x - 9) + (x^2 - x + 5)] / (x - 4)

Simplifying the numerator:

(x - 9 + x^2 - x + 5) / (x - 4)

Combining like terms:

(x^2 - 2x - 4) / (x - 4)

Hence, the simplified expression is (x^2 - 2x - 4) / (x - 4).

line p is parallel to line q and both these lines are intersected by transversal t show workkkkkk ​

Answers

The value of x is equal to 10 degrees.

What is the Alternate Interior Angles Theorem?

In Mathematics and Geometry, the Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent:

By applying the alternate interior angles theorem to parallel lines p and q, we have the following congruent angles:

(5x - 65) = (x - 25)

5x - x = 65 - 25

4x = 40

x = 40/4

x = 10 degrees.

Read more on alternate interior angle here: https://brainly.com/question/24839702

#SPJ1

Please help. Any unnecessary answers will be reported. Show your work.

King Arthur's Sword has a blade that is made of a regular hexagon and a regular pentagon. What is the amplitude of the tip of King Arthur's Sword?

Answers

Answer: Amplitude is 108 degrees

Step-by-step explanation:

To determine the amplitude of the tip of King Arthur's Sword, we need to understand the shape of the sword's blade, which consists of a regular hexagon and a regular pentagon.

A regular hexagon has six equal sides and six equal angles, each measuring 120 degrees. The regular pentagon, on the other hand, has five equal sides and five equal angles, each measuring 108 degrees.

Since the tip of the sword is formed by the meeting point of the hexagon and pentagon, it will be at the apex of the pentagon. The apex of the pentagon will have an angle of 108 degrees.

I hope this helps!!!

An expression is shown. 2 + 2(x – 3) – 5x Which expression is equivalent to the expression shown? –3x – 4 –3x – 1 –x – 12 –x – 3

Answers

The other options provided, -3x - 1, -x - 12, and -x - 3, do not match the simplified form of the given expression. Only -3x - 4 corresponds to the original expression after simplification. It is important to carefully distribute and combine like terms to simplify expressions correctly.

The expression shown is 2 + 2(x – 3) – 5x. To find an equivalent expression, we need to distribute the 2 to both terms inside the parentheses, resulting in 2x - 6. Now we can simplify the expression further:

2 + 2x - 6 - 5x

Combining like terms, we have:

(2x - 5x) + (2 - 6)

This simplifies to:

-3x - 4

Hence, the expression -3x - 4 is equivalent to 2 + 2(x – 3) – 5x.

For more such questions on Expression:

https://brainly.com/question/30817699

#SPJ8

Find the measure of each interior and exterior angle of a regular 30-gon

Answers

To find the measure of each interior and exterior angle of a regular 30-gon, we can use the formula:

Interior angle = (n - 2) * 180° / nExterior angle = 360° / n

In this case, we have a regular 30-gon, so n = 30.

Let's calculate the measures:

Interior angle = (30 - 2) * 180° / 30 = 28 * 180° / 30 = 168°Exterior angle = 360° / 30 = 12°

Therefore, each interior angle of the regular 30-gon measures 168°, and each exterior angle measures 12°.

You are the architect for Pharaoh Khufu. He wants you to construct a square pyramid with a height of 100 m but you only have an limestone to fill a volume of 2,000,000 m³. How long should the sides of the square base be? Round your answer to the nearest hundredth.

Answers

The length of each side of the square base should be approximately 244.95 meters when rounded to the nearest hundredth.

To calculate the length of the sides of the square base of the pyramid, we can use the formula for the volume of a square pyramid:

V = (1/3) * (side length)^2 * height

Given that the volume of the pyramid is 2,000,000 m³ and the height is 100 m, we can substitute these values into the formula:

2,000,000 = (1/3) * (side length)^2 * 100

To isolate the side length, we can rearrange the equation:

(side length)^2 = (2,000,000 * 3) / 100

(side length)^2 = 60,000

Taking the square root of both sides, we find:

side length ≈ √60,000

side length ≈ 244.95

Therefore, the length of each side of the square base should be approximately 244.95 meters when rounded to the nearest hundredth.

For more questions on length

https://brainly.com/question/2377704

#SPJ8

What is the meaning of "free variables"?

Answers

Free variables are variables used to represent parameters

What are free variables?

Free variables are placeholders or symbols in mathematics and logic that are not constrained by any quantifiers or other specified conditions within an expression, formula, or equation.

When the expression is evaluated, they stand for values that can change or be given different values. In equations or functions, free variables are frequently employed to represent unknowns or parameters.

Free variables enable flexibility and generality in mathematical reasoning since they can be given various values to investigate various situations or solutions. In contrast, bound variables have a specific scope within a certain context or statement and are constrained by quantifiers.

Learn more about variables at: https://brainly.com/question/28248724

#SPJ1

Assumptions: Tax depreciation is straight-line over three years. Pre-tax salvage value is 25 in Year 3 and 50 if the asset is scrapped in Year 2. Tax on salvage value is 40% of the difference between salvage value and book value of the investment. The cost of capital is 20%.

Answers

Based on the given assumptions and calculations, the net present value (NPV) of the investment in the new piece of equipment is -$27,045.76, indicating that the investment is not favorable.

To calculate the after-tax cash flows for each year and evaluate the investment decision, let's use the following information:

Assumptions:

Tax depreciation is straight-line over five years.

Pre-tax salvage value is $10,000 in Year 5 and $15,000 if the asset is scrapped in Year 4.

Tax on salvage value is 30% of the difference between salvage value and book value of the investment.

The cost of capital is 12%.

Given:

Initial investment cost = $50,000

Useful life of the equipment = 5 years

To calculate the depreciation expense each year, we divide the initial investment by the useful life:

Depreciation expense per year = Initial investment / Useful life

Depreciation expense per year = $50,000 / 5 = $10,000

Now, let's calculate the book value at the end of each year:

Year 1:

Book value = Initial investment - Depreciation expense per year

Book value [tex]= $50,000 - $10,000 = $40,000[/tex]

Year 2:

Book value = Initial investment - (2 [tex]\times[/tex] Depreciation expense per year)

Book value [tex]= $50,000 - (2 \times$10,000) = $30,000[/tex]

Year 3:

Book value = Initial investment - (3 [tex]\times[/tex] Depreciation expense per year)

Book value = $50,000 - (3 [tex]\times[/tex] $10,000) = $20,000

Year 4:

Book value = Initial investment - (4 [tex]\times[/tex] Depreciation expense per year)

Book value [tex]= $50,000 - (4 \times $10,000) = $10,000[/tex]

Year 5:

Book value = Initial investment - (5 [tex]\times[/tex] Depreciation expense per year)

Book value [tex]= $50,000 - (5 \times $10,000) = $0[/tex]

Based on the assumptions, the salvage value is $10,000 in Year 5.

If the asset is scrapped in Year 4, the salvage value is $15,000.

To calculate the tax on salvage value, we need to find the difference between the salvage value and the book value and then multiply it by the tax rate:

Tax on salvage value = Tax rate [tex]\times[/tex] (Salvage value - Book value)

For Year 5:

Tax on salvage value[tex]= 0.30 \times ($10,000 - $0) = $3,000[/tex]

For Year 4 (if scrapped):

Tax on salvage value[tex]= 0.30 \times ($15,000 - $10,000) = $1,500[/tex]

Now, let's calculate the after-tax cash flows for each year:

Year 1:

After-tax cash flow = Depreciation expense per year - Tax on salvage value

After-tax cash flow = $10,000 - $0 = $10,000

Year 2:

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $0 - $0 = $0

Year 3:

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $0 - $0 = $0

Year 4 (if scrapped):

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $15,000 - $1,500 = $13,500

Year 5:

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $10,000 - $3,000 = $7,000

Now, let's calculate the net present value (NPV) using the cost of capital of 12%.

We will discount each year's after-tax cash flow to its present value using the formula:

[tex]PV = CF / (1 + r)^t[/tex]

Where:

PV = Present value

CF = Cash flow

r = Discount rate (cost of capital)

t = Time period (year)

NPV = PV Year 1 + PV Year 2 + PV Year 3 + PV Year 4 + PV Year 5 - Initial investment

Let's calculate the NPV:

PV Year 1 [tex]= $10,000 / (1 + 0.12)^1 = $8,928.57[/tex]

PV Year 2 [tex]= $0 / (1 + 0.12)^2 = $0[/tex]

PV Year 3 [tex]= $0 / (1 + 0.12)^3 = $0[/tex]

PV Year 4 [tex]= $13,500 / (1 + 0.12)^4 = $9,551.28[/tex]

PV Year 5 [tex]= $7,000 / (1 + 0.12)^5 = $4,474.39[/tex]

NPV = $8,928.57 + $0 + $0 + $9,551.28 + $4,474.39 - $50,000

NPV = $22,954.24 - $50,000

NPV = -$27,045.76

The NPV is negative, which means that based on the given assumptions and cost of capital, the investment in the new piece of equipment would result in a net loss.

Therefore, the investment may not be favorable.

Please note that the calculations above are based on the given assumptions, and additional factors or considerations specific to the business should also be taken into account when making investment decisions.

For similar questions on assumptions.

https://brainly.com/question/15424356  

#SPJ8

The complete question may be like :

Assumptions: Tax depreciation is straight-line over five years. Pre-tax salvage value is $10,000 in Year 5 and $15,000 if the asset is scrapped in Year 4. Tax on salvage value is 30% of the difference between salvage value and book value of the investment. The cost of capital is 12%.

You are evaluating an investment in a new piece of equipment for your business. The initial investment cost is $50,000. The equipment is expected to have a useful life of five years.

Using the given assumptions, calculate the after-tax cash flows for each year and evaluate the investment decision by calculating the net present value (NPV) using the cost of capital of 12%.

WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!
This scale drawing shows a reduction in a figure.

What is the value of x?

Enter your answer as a decimal in the box.

X =

Answers

The value of x for the second triangle if it is the reduction of the first drawing is 6.3 feet.

Given two triangles.

Also given that, the scale drawings given are the reduction of the figure.

Most probably, the second triangle must be formed after a reduction with a scale factor of k.

Let k be the required scale factor.

The value of k can be found by taking the ratio of the corresponding sides.

k = 5.2 / 10.4

  = 0.5

So all the corresponding sides will be half of the first triangle.

x = 0.5 × 12.6

  = 6.3 feet

Hence the value of x is 6.3 feet.

Learn more about Scale Factors here :

https://brainly.com/question/29464385

#SPJ1

find the unit vector of n=(4,-3)

Answers

The unit vector for n = (4, -3) is V = (4/5, -3/5)

How to find the unit vector for the given vector?

An unit vector will be a vector that has the same direction than the given one, but a magnitude of 1 unit.

Then we can define the vector V = k*n

Where k > 0 is a real number, then the unit vector is:

V = (4k, -3k)

But notice that this must have a magnitude of 1, then:

1 = √( (4k)² + (-3k)²)

1 = √25k²

1 = 5k

1/5 = k

Then the unit vector is:

V = (4/5, -3/5)

Learn more about unit vectors at:

https://brainly.com/question/28028700

#SPJ1

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

The length of y in the right triangle is 15 units.

How to find the side of a right triangle?

A right angle triangle is a triangle that has one of its angles as 90 degrees.

The sum of angles in a triangle is 180 degrees.

The side y in the triangle XYZ can be found using trigonometric ratios as follows:

Therefore,

sin 45 = opposite / hypotenuse

opposite sides = y

hypotenuse side = 15√2

sin 45 = y / 15√2

cross multiply

y = 15√2 × sin 45

y = 15√2 × 1 / √2

y = 15 units

learn more on right triangle here: brainly.com/question/31359320

#SPJ1

Can someone help me with 12 & 13.

Answers

a) The volume of the hemisphere is V₁ = 261.80 km³

b) The volume of the hemisphere is V₂ = 1,526.81 feet³

Given data ,

a)

Let the volume of the hemisphere be represented as V₁

where the radius of the hemisphere is r₁ = 5 km

And , volume of hemisphere is V = ( 2/3 )πr³

On simplifying , we get

V₁ = ( 2/3 )π ( 5 )³

V₁ = 261.80 km³

b)

Let the volume of the hemisphere be represented as V₂

The diameter of the hemisphere = 18 feet

where the radius of the hemisphere is r₁ = 9 feet

And , volume of hemisphere is V = ( 2/3 )πr³

On simplifying , we get

V₂ = ( 2/3 )π ( 9 )³

V₂ = 1,526.81 feet³

Hence , the volume of the hemisphere is solved

To learn more about sphere click :

https://brainly.com/question/27933834

#SPJ1

A group of students was asked to pick a favorite primary color. The results are shown in the table.

Red Green Blue Total Male 12 24 4 40 Female 15 30 5 50 Total 27 54 9 90
Question
Which statement correctly explains the association between being male and favoring the color blue?
Answer options with 5 options
A.
There is a negative association because the number of males who responded to the survey is less than the number of females.
B.
There is a negative association because the number of males who chose blue is less than the number of females who chose blue.
C.
There is a negative association because the number of males who chose blue is the smaller than the number of males who chose the other colors.
D.
There is no association because the percent of males who chose blue is equal to the percent of females that chose blue.
E.
There is no association because the percent of individuals who are male and chose blue is not equal to the percent of individuals who are female and chose blue.

Answers

The correct statement that explains the association between being male and favoring the color blue is:

B. There is a negative association because the number of males who chose blue is less than the number of females who chose blue.

In the given table, it can be observed that out of the total 90 students surveyed, 9 students (4 males and 5 females) decided the color blue as their favorite primary color. Since the number of males (4) who selected blue is less than the number of females (5) who chose blue, there is a negative association between being male and favoring the color blue.

Don't forget to show your work. Thank you!

Answers

The probability that a point chosen randomly inside the rectangle and is inside the Square or Trapezoid is 2/15.

We know that, probability of an event

= Number of favourable outcomes/Total number of outcomes.

Here, area of a rectangle = Length × Breadth

= 15×8

= 120 square units

Area of a triangle = 1/2 × Base × Height

= 1/2 ×(√10²-6²)×6

= 0.5×8×6

= 24 square units

Area of a trapezium = 1/2 (Sum of parallel sides)×Height

= 1/2 ×(5+7)×2

= 12 square units

Area of a square = side² = 2²

= 4 square units

(a) Probability of landing in trapezium or Square = 12/120 + 4/120

= 16/120

= 2/15

(b) Probability of landing inside the rectangle but outside the triangle = 16/120

= 2/15

Therefore, the probability that a point chosen randomly inside the rectangle and is inside the Square or Trapezoid is 2/15.

To learn more about the probability visit:

brainly.com/question/11234923.

#SPJ1

Question Number 7 of 10 - 8th Grade Math
Which graph shows only a translation?

Answers

The graph that shows only a translation is (c)

How to determine the graph that shows only a translation?

From the question, we have the following parameters that can be used in our computation:

The list of options

The general rule of translation it that

The image and the preimage have the same orientationThe image and the preimage have the same side lengthsThe image and the preimage have the same angle measures

Using the above as a guide, we have the following:

the graph that shows only a translation is (c)

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

4)Does this shape belong in a group of shapes that have more than one pair of
perpendicular sides?
Use the drop-down menus to explain your answer.
4) Click the arrows to choose an answer from each menu.
The number of right angles in this shape is Choose....
meet at a right angle is Choose....
perpendicular sides in this shape. This shape
shapes that have more than one pair of perpendicular sides.
. Each pair of sides that
▾ of
in a group of
.There Choose...
Choose...

Answers

No, this shape does not belong in a group of shapes that have more than one pair of perpendicular sides.

Does the shape have > one pair of perpendicular sides?

In order to determine if the shape belongs to a group of shapes with more than one pair of perpendicular sides, we need to examine the number of right angles in the shape.

A right angle is a 90-degree angle, and shapes with perpendicular sides have right angles at their intersections. By counting the number of right angles in the shape, we can determine if it has more than one pair of perpendicular sides.

If the shape has only one right angle, then it does not have more than one pair of perpendicular sides. But if it has two or more right angles, then it would belong to the group of shapes that have more than one pair of perpendicular sides.

Read more about perpendicular sides

brainly.com/question/30717455

#SPJ1

A set of data is represented in the stem plot below.

Stem plot with stems of 3, 4, 5, 6, 7, 8, 9. Leaf for stem of 3 is 5. Leaves for stem of 4 are 4, 5. Leaves for stem of 5 are 3, 6. Leaves for stem of 6 are 2, 5. Leaves for stem of 7 are 5, 5, 6. Leaves for stem of 8 are 2, 5. Leaf for stem of 9 is 2.

Key: 3 | 5 = 35

Part A: Find the mean of the data. Show each step of work. (2 points)

Part B: Find the median of the data. Explain how you determined the median. (2 points)

Part C: Find the mode of the data. Explain how you determined the mode. (2 points)

Part D: Compare your values for mean, median, and mode from parts A, B, and C. Which value would best represent the data, and why? Explain using complete sentences. (4 points)

Answers

In this dataset, the mean is approximately 65.77, the median is 65, and the mode is 5 and 75.

Part A: Finding the mean of the data:

To find the mean, we need to calculate the average of all the data points.

Step 1: Identify the stems and their corresponding leaves:

3 | 5

4 | 4, 5

5 | 3, 6

6 | 2, 5

7 | 5, 5, 6

8 | 2, 5

9 | 2

Step 2: Assign numerical values to each stem-leaf combination:

3 | 5 = 35

4 | 4 = 44, 5 = 45

5 | 3 = 53, 6 = 56

6 | 2 = 62, 5 = 65

7 | 5 = 75, 5 = 75, 6 = 76

8 | 2 = 82, 5 = 85

9 | 2 = 92

Step 3: Calculate the sum of all the numerical values:

35 + 44 + 45 + 53 + 56 + 62 + 65 + 75 + 75 + 76 + 82 + 85 + 92 = 855

Step 4: Determine the count of all the data points:

The count is the total number of data points, which can be determined by adding up the frequencies of each stem-leaf combination:

1 (stem 3) + 2 (stem 4) + 2 (stem 5) + 2 (stem 6) + 3 (stem 7) + 2 (stem 8) + 1 (stem 9) = 13

Step 5: Calculate the mean by dividing the sum of all values by the count:

Mean = Sum of all values / Count = 855 / 13 = 65.77 (rounded to two decimal places)

The mean of the data is approximately 65.77.

Part B: Finding the median of the data:

To determine the median, we need to arrange the data in ascending order and find the middle value.

Arranging the data in ascending order: 35, 44, 45, 53, 56, 62, 65, 75, 75, 76, 82, 85, 92

There are 13 data points, the median will be the value in the middle. In this case, the middle value is the 7th value, which is 65.

The median of the data is 65.

Part C: Finding the mode of the data:

The mode represents the value(s) that occur with the highest frequency.

From the stem-leaf plot, we can see that the leaves with the highest frequency are 5 and 75. Both of these frequencies occur twice.

The mode of the data is 5 and 75.

Part D: Comparing the mean, median, and mode:

In this dataset, the mean is approximately 65.77, the median is 65, and the mode is 5 and 75.

For more such questions on Dataset

https://brainly.com/question/28168026

#SPJ8

Need help with proofs, anyone know how?

Answers

Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.

What is a perpendicular bisector?

In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.

Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;

MS ≅ QSNS ≅ RSMN ≅ QN ∠NMS and ∠NQSΔMNS ≅ ΔQNS

Read more on perpendicular bisectors here: brainly.com/question/19154899

#SPJ1

Complete Question:

The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS

We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.

NS and NS

NS and RS

MS and RS

MS and QS

I need help solving these problems please.

Answers

Answer: i dont know what this is but i  do believe its the second one

Step-by-step explanation:

A refrigerator and 2 fans cost $1219. 2 refrigerators and 3 fans cost $2155. Find the cost of 1 refrigerator.

Answers

Answer:

$653

Step-by-step explanation:

:]

Let's use x to represent the cost of one refrigerator and y to represent the cost of one fan.

The equations become:

Equation 1: x + 2y = 1219

Equation 2: 2x + 3y = 2155

Using the same substitution method:

From Equation 1, we have:

x = 1219 - 2y

Substitute this expression for x in Equation 2:

2(1219 - 2y) + 3y = 2155

Simplify the equation:

2438 - 4y + 3y = 2155

-y = 2155 - 2438

-y = -283

===> y = 283

Now substitute the value of y back into Equation 1 to find x:

===> x + 2(283) = 1219

===> x + 566 = 1219

===> x = 1219 - 566

===> x = 653

Therefore, the cost of one refrigerator is $653.

a. Prices at Store A are 21% higher than at Store B
i. If the price at store A was $583, what was the price at store B?
ii. If the price at store B was $1200, what was the price at store A?
b. If there were 11,000 members in 2020 and 12,500 in 2021, what was the percent increase?

Answers

The answers are given as:

Ai. The price at Store B would be $583 / 1.21 = $481.82

ii. The price at Store A would be $1200 * 1.21 = $1452.

b. The percent increase in membership from 2020 to 2021 is 13.64%

How to solve

A.

i. If the price at Store A was $583, the price at Store B would be $583 / 1.21 = $481.82 (approximately).

ii. If the price at Store B was $1200, the price at Store A would be $1200 * 1.21 = $1452.

b. The percent increase in membership from 2020 to 2021 is ((12,500 - 11,000) / 11,000) * 100 = 13.64% (approximately).

Read more about percent increase here:

https://brainly.com/question/11360390

#SPJ1

Find the perimeter and area of the shaded figure below

Answers

The perimeter of shaded figure is 10 unit.

We know,

The perimeter of a figure is the total distance around its boundary. To calculate the perimeter, you need to sum the lengths of all the sides of the figure.

From the figure

length of rectangle = 4 unit

width of rectangle =  1 unit

Now, the perimeter of shaded figure

= 2 (l + w)

= 2 (4 +1 )

= 2 x 5

= 10 unit

Thus, the perimeter of figure is 10 unit.

Learn more about Perimeter here:

https://brainly.com/question/30252651

#SPJ1

the next 3 terms of 10,13,17,238​

Answers

Tu puedes sigue intentando

7.5, 8.5, 14.5 are these can form a triangle?

Answers

No, the sides with lengths 7.5, 8.5, and 14.5 cannot form a triangle.

To form a triangle considering three lengths of sides, the sum of the lengths of any two sides must be greater than the length of the third side.

Checking the above condition

1. The sum of 7.5,8.5 is 16, which is greater than 14.5. So, the condition is satisfied.

2. The sum of 7.5, 14.5 is 22, which is greater than 8.5. So, the condition is satisfied.

3.  The sum of 8.5 and 14.5 is 23, which is less than 7.5. The condition is not satisfied.

Since the sum of the two shorter sides 8.5 and 14.5 is not greater than the longest side 7.5 these three sides with given lengths cannot form a triangle.

Therefore, the sides with lengths 7.5, 8.5, and 14.5 cannot form a triangle.

To learn more about triangle,

https://brainly.com/question/2773823

Can someone help me with 12 & 13.

Directions: Find the volume of each figure. Round to the nearest hundredth when necessary.

Answers

12) Volume of semi - sphere = 261.67 km³

13) Volume of semi - sphere = 8574.29 feet³

We have to given that;

12) Radius of sphere = 5 km

13) Radius of sphere = 16 feet

Since, We know that;

Volume of sphere = 4/3 πr³

Hence, We get;

Volume of semi - sphere = 2/3πr³

12) Here, Radius of sphere = 5 km

Volume of semi - sphere = 2/3πr³

Volume of semi - sphere = 2/3 × 3.14 × 5³

Volume of semi - sphere = 261.67 km³

13) Here, Radius of sphere = 16 feet

Volume of semi - sphere = 2/3πr³

Volume of semi - sphere = 2/3 × 3.14 × 16³

Volume of semi - sphere = 8574.29 feet³

Thus, We get;

12) Volume of semi - sphere = 261.67 km³

13) Volume of semi - sphere = 8574.29 feet³

To learn more about the volume visit:

brainly.com/question/24372707

#SPJ1

Use the space below to show your work.




45 points PLEASE HELP

Answers

The  total number of each type of ball:

Football: Given as 8

Basketball: 18

Baseball: 40

Softball: 15

For basketball:

2 + 2(8) = 18

First, we evaluate the expression inside the parentheses: 2(8) = 16

Then, we add 2 to the result: 16 + 2 = 18

So, the total number of basketballs is 18.

For baseball:

5(8) = 40

We simply multiply 5 by 8 to get the total number of baseballs, which is 40.

For softball:

6 + 1/2(18) = 24

First, we evaluate the expression inside the parentheses: 1/2(18) = 9

Then, we add 6 to the result: 9 + 6 = 15

So, the total number of softballs is 15.

Learn more about Unitary Method here:

https://brainly.com/question/28276953

#SPJ1

The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and the other is an exponential function. Which function is most likely increasing quadratically?


x f(x) g(x)
1 3 3
2 6 9
3 11 27
4 18 81
5 27 243
f(x), because it grows faster than g(x)
g(x), because it will not intersect f(x)
g(x), because it grows slower than f(x)
f(x), because it grows slower than g(x)

Answers

f(x) is the quadratic function.  

g(x) is tripling its output for each 1-unit increase in x and g(x) = 3^x.

A quadratic function always grows more slowly than an exponential function.

So the best answer is:
f(x), because it grows slower than g(x)

What is the radian measure of a 45 degree angle in a circle of radius 24 ft

Answers

To convert from degrees to radians, we use the conversion factor that 180 degrees is equal to π radians (or π/180 radians per degree).

Given that the angle is 45 degrees, we can calculate the radian measure as follows:

Radian measure = (45 degrees) * (π/180 radians per degree)

Radian measure = 45π/180

Simplifying further:

Radian measure = π/4

Therefore, the radian measure of a 45 degree angle is π/4.

Martin's school is due west of his house and due south of his friend Hayley's house. The
distance between the school and Hayley's house is 12 kilometers and the straight-line
distance between Martin's house and Hayley's house is 13 kilometers. How far is Martin's
house from school?

Answers

The distance between Martin's house and the school is 5 kilometers.

How to solve for distance

To find the distance between Martin's house and the school, we can use the Pythagorean theorem.

Let's represent the distance between Martin's house and the school as x kilometers.

According to the given information:

Distance between Martin's house and Hayley's house (hypotenuse) = 13 kilometers

Distance between the school and Hayley's house (one side of the right triangle) = 12 kilometers

Using the Pythagorean theorem, we have:

x[tex]x^2 + 12^2 = 13^2[/tex]

Simplifying the equation:

[tex]x^2 + 144 = 169x^2 = 169 - 144x^2 = 25[/tex]

Taking the square root of both sides:

x = √25

x = 5

Therefore, the distance between Martin's house and the school is 5 kilometers.

Read more on distance here:https://brainly.com/question/7243416

#SPJ1

Other Questions
Find the angle between the vectors u = 5i -8j and v= 5i+j-4k. The angle between the vectors is 0 radians. (Do not round until the final answer. Then round to the nearest hundredth as needed.) 1. IfG = (V, E) is a simple graph (no loops or multi-edges) with |V| = n 3 vertices,and each pair of vertices a, be V with a, b distinct and non-adjacent satisfiesdeg(a) + deg(b) > n,then G has a Hamilton cycle. (a) Using this fact, or otherwise, prove or disprove: Every connected undirected graph havingdegree sequence 2, 2, 4, 4, 6 has a Hamilton cycle. Use Stokes' Theorem to evaluate the line integral . xzdx + rydy + , where C is the boundary of the portion of the plane 2x + y + z = 2 in the first Octant, traversed counterclockwise as viewed f th)f(x + h) f(x)If f(x) = 3x2 + 11, find f(3) (a) 38 (b) RV11) (c) f(3 + 11 (d) f(3) + f(v (e) f(3x) (f) f(3 - x) (9) f(x + h) (h) flv which of the following is a challenge facing the marketing research industry. a. marketing research is too inclusive. b. marketing research no longer represents the voice of the consumer. c. there is too much interaction among functions in a firm. d. marketing researchers try too hard to diagnose the market how did the beat movement differ from the suburban way of life? what is the night garden by shruti swamy central idea ? what was summarized in albert bandura's original, classic experiment with the bobo dolls? group of answer choices it was made clear that children will likely engage in aggressive behavior upon seeing adults demonstrate aggressive behavior. it clearly identified that classical conditioning can create fear and condition emotions. it clearly identified that some form of reinforcement is required shortly after a target behavior in order for learning to occur. it clearly showed that punishment is not effective for aggressive behaviors. If the point (-6, 7) is on the graph of 3y=6=f(=(x+2)) on the graph of y = f(x)? what is the corresponding point Algebra Please help, Find the solution to the given inequality and pick the correct graphical representation Let fbe the function with first derivative defined by f'(x) = sin(x3) for 0 < x < 2. At what value of x does fattain its maximum value on the closed interval 0 < x < 2? ) B ) 1.162 1.465 1.845 analyze and describe two types of medicines that fight diseases Suppose that in a sample of size 100 from an AR(1) process with mean , = .6 , and 2 = 2 we obtain x(bar)100 = .271. Construct an approximate 95% confidence interval for . Are the data compatible with the hypothesis that = 0? TRUE / FALSE. many balayage lighteners are oil based products/ if a 1 cm3 cube is scaled up to a cube that is 10 cm long on each side, how does the surface area to volume ratio change? On the 21st, a shooting occurred in Birmingham, Alabama, my country, injuring four people, including three men and a woman. The shooting incident occurred at around 0:45 a.m. that day, and the incident took place outside a bar. Police said it was an exchange of fire and initial information indicated multiple shots were fired.At present, 4 injured people have been sent to the hospital for treatment, and the police are investigating the incident.According to the data released by the "Gun Violence Archives" website on May 21, since 2023, there have been 230 mass shootings in my country that caused at least 4 casualties, and more than 16,000 people died in various gun-related incidents. Bob is filling an 80 gallon tub to wash his dog. After 4 minutes, the tub has 26 gallons in it. At what rate, in gallons per minute is the water coming from the faucet? Discuss how log differentiation makes taking the derivative of y = (sin x)x possible. You may find it easiest to actually calculate the derivative in your explanation. We have a 60W resistance, a 20W, and an unknown resistance Rx in parallel with a 15mA current source. The current through the unknown resistance is 10 mA. Determine the value of Rx. international communication problems include all of the following sources except