What are the first five terms in the arithmetic sequence with the recursive formula below?
a1=5
an=an-1+4

The line that is the perpendicular bisector of the segment is 12x - 2y= 13

The endpoints of the segment are

R(-1, 6) and S(5, 5)

Calculate the midpoint of the above segment using

RS = 1/2 * (x1 + x2, y1 + y2)

So, we have

RS = 1/2 * (-1 + 5, 6 + 5)

This gives

RS = (2, 5.5)

Calculate the slope of the segment using

Slope RS = (y1 - y2)/(x1 - x2)

So, we have

Slope RS = (5 - 6)/(5 + 1)

This gives

Slope RS = -1/6

The slopes of perpendicular lines are opposite reciprocal

This means that the slope of the perpendicular bisector is

m = -1/Slope RS

So, we have

m = -1(-1/6)

Evaluate

m = 6

The line that is the perpendicular bisector of the segment is calculated as

y = m(x - x1) + y1

Where

(x1, y1) = Midpoint RS = (2, 5.5)

So, we have

y = 6(x - 2) + 5.5

Evaluate

y = 6x - 12 + 5.5

y = 6x - 6.5

Multiply through by 2

2y = 12x - 13

Rewrite as

12x - 2y= 13

Hence, the line that is the perpendicular bisector of the segment is 12x - 2y= 13

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Answer:

9.25 Meters

Step-by-step explanation:

a square has 4 sides so:

37 divided by 4= 9.25 or 9 1/4

Answer:

42

Step-by-step explanation:

3 to 2 can be represented as 3/2. Remember the numerator represents stars while the denominator represents circles. Set up a proportion the criss multiply. This ratio would be 3/2 = x/28. First multiply 28 x 3 and set it equal to 2x. This gives you 84=2x. Divide 2 by each side and you will get 42 stars.

The number is -6/7 and the equation is x-7*x=x+6.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

Let the number be x.

We have to find the number.

According to given question we have

If the product of a number and -7 is subtracted from the number the result is 6 more than a number

product of a number and -7 =-7*x

subtracted from the number=x-7*x

6 more than a number=x+6

i.e

x-7*x=x+6

compare the like terms we have,

x-7*x=x+6

Subtract x from both sides we get ,

-7x=6

x=-6/7

Therefore, the number is -6/7 and the equation is x-7*x=x+6.

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Answer:

-3/4

Step-by-step explanation:

4y + 9 = 6

4y = 6-9 = -3

y = -3/4

Answer:

f×=×-2×+8=10×f=20xf=30×f

The final amount in Gigi's amount after two years is $637.102.

Compound interest is also known as interest on principal and interest is the practice of adding interest to the principal amount of a loan or deposit.

Gigi opened a savings account.

The principal amount she deposited, P = $600

The interest rate, r = 3% = ( 3 / 100 ) = 0.03

The formula for the compound interest is given as:

[tex]A=Pe^{rt}[/tex]

Where A is the final amount, P is the principal amount, r is the interest rate, and t is the time in years.

Then the amount in the account after t = 2 years will be:

[tex]A=Pe^{rt}\\A = 600 \times e^{(0.03 \times 2)}[/tex]

A = 600 × e⁰·⁰⁶

A = 600 × 1.06183654655

A = 637.101927927

A = $637.102

Therefore, the final amount in the account is $637.102.

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1. The inequality that represents the graph is x ≥ 8

2. The inequality that represents the graph is x < 3

3. The inequality that represents the graph is x ≤ 3

4. x ≤ 8

5. x < 8

6. x ≥ 3

From the question, we are to determine the inequalities that represent the given graphs

1. The inequality that represents the graph is x ≥ 8

2. The inequality that represents the graph is x < 3

3. The inequality that represents the graph is x ≤ 3

4. "Shaun refuse to read for more than 8 minutes"

Let x represent the number of minute she reads

Thus,

x ≤ 8

5. "Jade says she has less than eight cats"

Let x represent the number of cats Jade has

∴ x < 8

6. "Davon runs at least 3 miles everyday after school"

Let the number of miles Devon runs be x

Then, we can write that

x ≥ 3

Hence,

1. The inequality that represents the graph is x ≥ 8

2. The inequality that represents the graph is x < 3

3. The inequality that represents the graph is x ≤ 3

4. x ≤ 8

5. x < 8

6. x ≥ 3

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The scale factor that is most appropriate for the scale drawing is 1 centimeter to 50 meters. (Correct choice: E)

Scale factor are useful resources to make representations of huge and diminute representations of entire systems based on the application of length ratios defined below:

d / d' = r            (1)

Where:

Now we find the minimum reduction scale to fit the building in the paper.

Width

r' = 400 ft / 8.5 in

r' = 47.058 ft / in

Height

r' = 1,450 ft / 11 in

r' = 131.819 ft / in

The minimum reduction scale to fit the building in the paper is 131.819 ft / in (approx. 15.818 m / cm, that is 1 centimeter to 15.818 meters), that is, 1 centimeter to 131.819 feet. Then, the scale factor that is most appropriate for the scale drawing is 1 centimeter to 50 meters.

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The order of the number from the least to the greatest is -2 3/5, 10/3,3.9, 3 7/5, 20.

A rational number is a number that can be expressed as the fraction of two numbers in which the decimal is not zero. A rational number can be positive or negative. An example of a rational number is 3, -1.2.

An irrational number is a number that cannot be expressed as the fraction of two numbers. An example of a irrational number is 1/3, 22/7.

In order to order a number, all the numbers should have the same form. Thus, all the numbers would be converted to decimals where possible.

-2 3/5 = -2.6

10 /3 = 3.33

3 7/5 = 4.5

In order to order the numbers, note that the farther a negative number is from zero the smaller the number is and the farther a positive number is to zero, the greater the number is.

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The graph of the distance that Cordell moves between the home and the mailbox  and time period will be a repeating graph.

Let us assume that the distance between the lawn and the mailbox of Cordell is L.

He starts moving from his home towards the mailbox. After reaching the mailbox, he returns back to the home. Let say the time when he first returns back to his home is T₁.

The graph will show that the value of distance will first increase till L and after that he will come back to his home and the distance will decrease and become zero and the time period will be T₁. This show that he had return back to his home.

Similarly, the time well he again starts from his home and reaches till the mailbox and then again reaches to his home again is T₂. The graph is again plotted in the same manner as it was done in the first case.

It is because the distance L between mailbox and his home is same.

So, we can conclude that the graph will be a repeating graph. The shape of graph will be Saw-tooth like shape.

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Answer:a

Step-by-step explanation:

it is 2.2360679775 which is in between 2.01 and 2.24

Answer: a. between 2.01 and 2.24

Step-by-step explanation:

√4=2

√9=3

9-4=5

5-4=1

1/5=0.2

√5=

√(4+1)=

√4+0.2=

2+0.2=2.2 ==> between 2.01 and 2.24: a

If the ratio of the sides of the triangles ΔABC and ΔDEF are equal then the triangles are similar triangles. Then the correct option is B.

What is the triangle?

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

A picture shows triangle ABC and triangle DEF.

Triangle ABC: Side AB is 3, Side BC is 5, and Side CA is 4.

Triangle DEF: Side DE is 6, Side EF is 10, and Side FD is 8.

The ratio of the sides of the triangles ΔABC and ΔDEF will be given below.

AB/DE=BC/EF=CA/FD

3/6=5/10=4/8=1/2

If the ratio of the sides of the triangles ΔABC and ΔDEF are equal then the triangles are similar triangles.

The diagram is shown below.

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Two right triangles—A B C and D E F. The triangles ΔABC and ΔDEF are comparable triangles if the ratio of their sides is the same.

Given that,

Two right triangles—A B C and D E F. Triangle A B C has a side of 3, a side of 5, and a side of 4.

Triangle D E F: sides D and E , side E and F and side F and each 6, 10, and 8.

Because the angles are not provided, making it impossible to determine whether the triangles are identical is not comparable to.

We have to find which of the two triangles' respective claims is true.

Describe the triangle.

The polygonal shape known as a triangle has three sides and three angles. The sum of the triangle's angles is 180 degrees.

Triangle ABC and triangle DEF are depicted in an image.

Triangle ABC has sides AB at 3, BC at 5, and CA at 4.

Triangle DEF has sides.

Sides DE at 6; EF at 10; and FD at 8.

The triangles ΔABC and ΔDEF side ratio will be provided below.

AB/DE=BC/EF=CA/FD

3/6=5/10=4/8=1/2

Therefore, The triangles ΔABC and ΔDEF are comparable triangles if the ratio of their sides is the same.

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The smallest amount of storage a memory disk is 3.8 GB. The correct option is C.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given that for a computer to work properly it needs a memory disk of at least 4 GB. Memory disks can fluctuate 0.2 GB. Therefore, the smallest amount of storage a memory disk has is,

Smallest amount of storage a memory disk have = 4 GB - 0.2 GB

                                                                                 = 3.8 GB

Hence, the smallest amount of storage a memory disk is 3.8 GB.

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Elena's hair has grown in length overall net by. 1.81cm

It is given to us that the average rate at which  human hair grows is 1.27 centimeters per month.

Elena allowed her hair to grow for three months, so that's a given. Then she had her hair chopped short by 1.9 cm.

Elena's hair naturally grows at a typical rate.

First, we'll figure out how much Elena's hair has grown in three months, and then from that figure, we'll deduct the length that has been trimmed.

Elena's hair grew 3.x*1.27=3.81 cm in three months.

The amount of hair that was removed was 1.9 cm.

Elena's hair has grown in length by 3.81 cm over the course of three months, minus the length that has been chopped, for a total net growth of 1.91 cm.

Growth in 3 months less the length that was removed is 3.81 – 1.9 = 1.91 cm

Hence, the total net growth of Elena's hair is 1.81cm

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The dimensions before tripling the radius of the cylinder are:

radius = 2 and height = 7 yd

and surface area = 113.1

The dimensions after tripling the radius of the cylinder are:

radius = 6 and height = 7 yd

surface area = 490.08

Given, we know that the dimensions are:

radius = 2 and height = 7 yd

therefore, surface area = 2πrh + 2πr²

= 2π2×7 + 2π(2)²

= 2×22/7×14 + 2π×4

= 88 + 25.12

= 113.1

After tripling the radius, we get:

radius = 6 and height = 7 yd

therefore, surface area = 2πrh + 2πr²

= 2π6×7 + 2π(6)²

= 2×22/7×42 + 2π×36

= 264 + 226.08

= 490.08

Hence we get the before and after dimensions of the cylinder.

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The Total cost of 2 small and 3 large greeting cards is $16.65.

The Total cost of x small and y large greeting cards is $2.10x+$4.15y.

Given

Cost of the small greeting card =$2.10.

Cost of the large greeting card =$4.15.

We have to find the Total cost of 2 small and 3 large greeting cards and the total cost of x small and y large greeting cards.

First, we will find the Total cost of 2 small and 3 large greeting cards

Cost of 3 small greeting cards=2[tex]\times\\[/tex]2.10 =$4.2

Cost of 4 large greeting cards=3[tex]\times[/tex]4.15=$12.45

Total cost=$4.2+$12.45=$16.65

Therefore, the Total cost of 2 small and 3 large greeting cards is $16.65.

Now, the total cost of x small and y large greeting cards

Cost of x small greeting cards=x[tex]\times\\[/tex]2.10 =$2.10x

Cost of y large greeting cards=y[tex]\times[/tex]4.15=$4.15y

Total cost=$2.10x+$4.15y

Therefore, the Total cost of x small and y large greeting cards is $2.10x+$4.15y.

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Total cost, 2 small greeting cards and 3 large greeting cards: 16.65

Total cost, x small greeting cards and y large greeting cards: 2.10x+4.15y

The output values of ​ ​h(​-8), ​h(1​), ​h(3​), and ​h(8​) in the given piecewise function are 16, 3, 11 and 16 respectively.

Given the piecewise function in the question;

                    -4x - 16, for x < -7

                     x + 8,   for x ≥ 3

Determine the output value of h(-8), -8 falls in the domain of x < 7,

Hence;

h(x) = -4x - 16

h(-8) = -4(-8) - 16

h(-8) = 32 - 16

h(-8) = 16

Determine the output value of h(1), 1 falls in the domain of -7 ≤ x < 3,

Hence;

h(x) = 3

h(1) = 3

Determine the output value of h(3), 3 falls in the domain of x ≥ 3,

Hence;

h(x) = x + 8

h(3) = 3 + 8

h(3) = 11

Determine the output value of h(8), 8 falls in the domain of x ≥ 3,

Hence;

h(x) = x + 8

h(8) = 8 + 8

h(8) = 16

Therefore the output values of ​ ​h(​-8), ​h(1​), ​h(3​), and ​h(8​) in the given piecewise function are 16, 3, 11 and 16 respectively.

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Answer:  2/29

Step-by-step explanation: because he has 29 cookies in total therefor if he just randomly picks a cookie from the bag this would be 2/29 as he randomly chose 2 cookies out of 29 total cookie. we have no idea what he could have chose and all the cookies are mixed in a bag.

================================================

Explanation:

There are 7 sugar cookies

This is out of 9+6+7+7 = 29 total cookies

The probability of getting a sugar cookie is 7/29

After that cookie is selected, the total drops to 29-1 = 28 cookies. The probability of getting a chocolate chip on the second selection is 9/28

Multiply the fractions mentioned to get the final answer

(7/29)*(9/28) = (7*9)/(29*28) = (7*9)/(29*7*4) = 9/(29*4) = 9/116

The money earned on friday is $1586 and on sunday is $1960.

A linear equation in one variable is an equation that has only one solution and is expressed in the form ax+b = 0, where a and b are two integers and x is a variable.

Let us assume the money generated by Friday game is 'F'.

Let us assume the money generated by Sunday game 'S'.

The two games together earn $3546.00 for the team.

Equation will become;

F + S = 3546.00    ........(equation 1)

Friday's game generates $374.00 less than Sunday's game. Thus,

F = S - 374.00

Since, F = S - 456.50 use the substitution method and put this value in equation 1.

(S - 374.00) + S = 3546.00

Simplifying the equation;

2S  = 3546.00 + 374.00

2S = 3920

S = 1960.

Put this value in equation 1 and find F.

F + S = 3546.00

F + 1960 = 3546.00

F = 1586.

Thus, the money generated on friday is $1586 and on sunday is $1960.

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Answer:

person above me is right pls give them brainliest!!!

Step-by-step explanation:

Step-by-step explanation:

2*40=80

so, the smallest of 80 is 2

Step-by-step explanation:

question: find the smallest number by which 80 is multiplied to make a perfect square.

80 x 6 = 400

the square root of 400 = 20

therefore 6 is the smallest number that multiplies by 80 to give a perfect square.

Answer:

f(-4) = 24

Step-by-step explanation:

f(x) = 3(4-x)

( substitute )

f(-4) = 3 x ( 4- (-4))

( calculate )

f(-4)= 24

Answer:

0

Step-by-step explanation:

y intercept means that the x is 0, so we make the equation like this:

-2y = -5x
-2y = -5(0)

y = 0/-2

y = 0

The computation shows that the amount lost in a week is $49.

From the information, Red lost money on an investment at a rate of $7 per day.

It should be noted that there are 7 days in a week. Therefore, the amount lost will be:

= $7 × 7

= $49

The amount lost is $49.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{9n - 50 = 4}[/tex]

[tex]\large\text{Add 50 to both sides:}[/tex]

[tex]\mathsf{9n - 50 + 50= 4 + 50}[/tex]

[tex]\large\text{Simplify it:}[/tex]

[tex]\mathsf{9n = 4 + 50}[/tex]

[tex]\mathsf{9n = 54}[/tex]

[tex]\large\text{Divide 9 to both sides:}[/tex]

[tex]\mathsf{\dfrac{9n}{9} = \dfrac{54}{9}}[/tex]

[tex]\large\text{Simplify it:}[/tex]

[tex]\mathsf{n = \dfrac{54}{9}}[/tex]

[tex]\mathsf{n = 6}[/tex]

[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{n = 6}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer: step-by-step

Step-by-step explanation:

first one is paralell

second one is perpindicular

third one is neither

lmk if wrong, good luck!

Answer:

f(-4) = - 64

f(3)  = - 15

f(-a) =  - 3a² - 4a

-f(a) =  3a² - 4a

f(a + h) = - 3a²  - 6ah - 3h² + 4a + 4h

Pay careful attention that you do not miss the negative signs in some of these terms

Step-by-step explanation:

The function is f(x) = -3x² + 4x

To evaluate the function at any value of x, simply substitute for x in the function expression

The amount earned if they decreased the price by $0.20 will be $2400.

From the information, they found that for every $0.20 that the price is reduced, they can get 50 more customers.

The amount earned if they decreased the price by $0.20 will be:

= ($5 - $0.20) × (450 + 50)

= $4.80 × 500

= $2400

Therefore, the amount is $2400.

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Answer:

One solution.

Step-by-step explanation:

2(x-1)=3(x-4)

2x - 2 = 3x - 12

-2 + 12 = 3x - 2x

10 = x.