Please help solve number 24

The range of the salary will be the closed interval [23,200, 26,800].

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x |

A new hire at one organization may expect to get an average beginning pay of $25,000 per year. The absolute divergence from the real compensation is no more than $1800.

Let 'x' represent the actual salary. Then the inequality is given as,

|x - 25,000| ≤ 1800

- 1,800 ≤ x - 25,000 ≤ 1,800

25,000 - 1,800 ≤ x ≤ 25,000 + 1,800

23,200 ≤ x ≤ 26,800

The range of the salary will be the closed interval [23,200, 26,800].

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Answer:

Final answer is 2

Step-by-step explanation:

Answer:

The answer to your question is 588

Answer:

588

Hope this helps

The slope of a line that passes through the ordered pairs (0,1) and (3,5) would be m = 4/3.

Slope tells how vertical a line is.

The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal. Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

WE have been given line that passes through the ordered pairs (0,1) and (3,5).

Slope = m

Therefore,

[tex]m = \dfrac{y-q}{x-p}\\\\m = \dfrac{5 -1}{3-0}\\\\m = \dfrac{4}{3}[/tex]

Hence, the slope of a line that passes through the ordered pairs (0,1) and (3,5) would be [tex]m = \dfrac{4}{3}[/tex].

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The percent increase in his bill from May to July is 32.29%.

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency. The sign used to represent percentages is %.

The percent increase in his bill from May to July = (bill in July / bill in May)^(1/number of months) - 1

(136.50 / 78)^(1/2) - 1 = 32.29%

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Answer:

Step-by-step explanation:

Let the initial salary be x.

Set equation and solve for x:

Answer:

The original salary is $11641.18.

Step-by-step explanation:

The equation will be,

→ x + (x × 2)/100 = 11874

Now the original salary will be,

→ x + (x × 2)/100 = 11874

→ x + 0.02x = 11874

→ 1.02x = 11874

→ x = 11874/1.02

→ x = 11641.1764706

→ [ x = 11641.18 ]

Hence, original salary is $11641.18.

Answer: 30

Step-by-step explanation:

181+180+150=

361+150=511

541-511=30 18-24 year olds

**46 of 181 students that watched TV ate pizza and the same 46 students of  the 150 students that ate pizza watched TV.

Polynomial equation with integer coefficients that has roots x= -1 and

x = -6 is equal to x² +7x +6=0.

As given in the question,

Given roots for the polynomial equation with integer coefficient are

x = -1 ⇒ x + 1=0

x = -6 ⇒ x + 6 =0

Polynomial equation is

( x + 1) ( x + 6) =0

⇒ x² + 1x + 6x + 6 =0

⇒ x² + 7x + 6 =0

Therefore, polynomial equation with integer coefficients that has roots x= -1 and x = -6 is equal to x² +7x +6=0.

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Answer:

56mph

Step-by-step explanation:

i hope this is the answer you were looking for

Answer:

$150

Step-by-step explanation:

Given the following question:

Lucy paid 120 dollars for an item
The item was 20% off

What was the original price? To find the original price we will need to use the formula to calculate percentages.

20% of 150
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{20\times150}{100}[/tex]
[tex]20\times150=3000[/tex]
[tex]3000\div100=30[/tex]
[tex]150-30=120[/tex]
[tex]=120[/tex]

Which means our original price is "$150."

Hope this helps.

The picture of the triangle ΔDEF is attached below.

A triangle can be defined as a basic polygon which has 3 sides.

In the given ΔABC we see that AC is the hypotenuse and the two sides AB and AC are the legs of the triangle.

m∠B=90°

The ΔDEF is drawn such that m∠E=90° and AB=DE and EF=BC .

Therefore we can say that the two triangles are congruent by SAS axiom of congruency.

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The measurement 9 feet is closest to 270 centimeters.

In this problem we have a case of unit conversions, in which we must find what measure in a unit offers the best approximation to other represented in other unit. Please notice that a centimeter equals 25 / 762 feet and 50 / 127 inches. Now we proceed to calculate the equivalent quantities in feet and inches by simple rule of three:

x = 270 cm × (25 / 762 feet / cm)

x ≈ 8.858 feet

x = 270 cm × (50 / 127 inches / cm)

x ≈ 106.299 inches

The measurement 9 feet is closest to 270 centimeters.

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Answer:

17

Step-by-step explanation:

Angle 2 and angle 4 are alternate exterior angles so they congruent angles which means they have same angle measurement.

To find the measure of angle 2 we first need to find the value of x.

And to do that we can write the following equation based on the information we have in hand:

6x + 8 = 4x + 11 transfer like terms to the same side of the equation

6x - 4x = 11 - 8 add/subtract like terms

2x = 3 divide both sides by 2

x = 1.5 now to find the measure of angle 2 replace x with 1.5

6×(1.5)+8 = 17

Answer:

True

Step-by-step explanation:

The fraction 24/56 can be simplified to 3/7, and we can't keep simplifying this.

Here we want to simplify the fraction 24/56. To do so, we need to find the greatest common factor between 24 and 56, to find that, we need to write both of these numbers as a product of their prime factors.

We will get:

24 = 2*2*2*3

56 = 2*2*2*7

We can identify the greatest common factor between parenthesis:

24 = (2*2*2)*3

56 = (2*2*2)*7

So the greatest common factor is 2*2*2 = 8, then we can divide both numerator and denominator by 8, we will get:

24/8 = 3

56/8 = 7

Then the fraction 24/56 can be simplified to 3/7, and we can't keep simplifying this.

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Answer:

  g(x) = 3x +5

Step-by-step explanation:

You want the function that results from translating f(x) = 3x upward by 5 units.

The y-coordinate of a point tells how far above the x-axis it is. Adding 5 to the y-coordinate will move that point 5 units farther above the x-axis, which is to say 5 units upward.

The y-coordinate of a point on a graph is the value of the function of the x-coordinate of that point. That is, each point is (x, f(x)). If we want to translate that point 5 units upward, we add 5 to the function value:

  (x, f(x) +5) . . . . . graph translated 5 units up

Using the given definition of f(x), this becomes ...

  (x, 3x +5)

The translated function is defined as g(x), so we have ...

  (x, g(x)) = (x, 3x +5)

or ...

  g(x) = 3x +5

Answer:

-∞ and -∞ both answers

Step-by-step explanation:

From the graph it is clear that as x becomes smaller and smaller, y gets smaller and smaller. So as x → -∞, y → -∞

On the positive x side, as x gets bigger and bigger, y gets smaller and smaller so
as x → +∞, y → -∞

If our cells couldn't control what crossed their membranes, either no molecules would make it across, or they'd be travelling willy-nilly and the internal environment would always be in flux.

If Partial Derivatives f(x,y) -8e^4x sin(7y) is 32 e^(4 x) sin(7 y) and

56 e^(4 x) cos(7 y)

Partial Derivatives

d/dx(8 e^(4 x) sin(7 y))

Factor out constants:

= 8 (d/dx(e^(4 x))) sin(7 y)

Using the chain rule, d/dx(e^(4 x)) = (d e^u)/(du) (du)/(dx), where u = 4 x and d/(du) (e^u) = e^u:

= e^(4 x) (d/dx(4 x)) 8 sin(7 y)

Factor out constants:

= 4 (d/dx(x)) 8 e^(4 x) sin(7 y)

Simplify the expression:

= 32 e^(4 x) (d/dx(x)) sin(7 y)

The derivative of x is 1:

= 32 e^(4 x) sin(7 y)

Simplify the expression:

32 e^(4 x) sin(7 y)

Part 2:

Partial Derivatives

d/dy(8 e^(4 x) sin(7 y))

Factor out constants:

= 8 e^(4 x) (d/dy(sin(7 y)))

Using the chain rule, d/dy(sin(7 y)) = (dsin(u))/(du). (du)/(dy), where u = 7 y and d/(du) (sin(u)) = cos(u):

= cos(7 y) (d/dy(7 y)) 8 e^(4 x)

Factor out constants:

= 7 (d/dy(y)) 8 e^(4 x) cos(7 y)

Simplify the expression:

= 56 e^(4 x) cos(7 y) (d/dy(y))

The derivative of y is 1:

=  56 e^(4 x) cos(7 y)

Simplify the expression:

56 e^(4 x) cos(7 y)

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Using the median concept and the quartiles, we have that:

In this problem, there are 12 elements, hence:

Thus, Q1 = 120, Q3 = 160 and the IQR is:

IQR = 160 - 120 = 40.

1.5 IQR is: 1.5 x 40 = 60.

The boundaries are:

There is a value less than 60 in the data set, hence the sentence that describes the outliers is: B: The outlier is less than the lower boundary.

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Answer:

Use the data to answer the questions.

What is 1.5 ∙ IQR? ✔ 60

What is the lower boundary? ✔ 60

What is the upper boundary? ✔ 220

Which sentence describes the outliers? ✔ The outlier is less than the lower boundary.

Step-by-step explanation:

edge 2023

(a) The distance on the ground represented 2 cm on the map  is 2000 cm.

(b) The distance on the ground represented 7.6 cm on the map  is 7600 cm

It is given that a map has a scale of 1:1000 which means that 1 cm of the map represents 1000 cm on the ground .

i) (a) Using unitary method , we get

1 cm on map is equivalent to = 1000 cm on the ground

 2 cm on map is equivalent to  = 2 × 1000

                                                      = 2000 cm on the ground

(b) Using unitary method , we get

1 cm on map is equivalent to = 1000 cm on the ground

 7.6 cm on map is equivalent to  = 7.6 × 1000

                                                      = 7600 cm on the ground

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Answer:

A

Step-by-step explanation:

substitute the values from the replacement set into the right side of the equation to find which values of x make the equation true.

x = - 32

[tex]\frac{-32}{4}[/tex] + 5 = - 8 + 5 = - 3 ← True

x = 8

[tex]\frac{8}{4}[/tex] + 5 = 1 + 5 = 6 ≠ - 3 ← False

x = 32

[tex]\frac{32}{4}[/tex] + 5 = 8 + 5 = 13 ≠ - 3 ← False

the solution is therefore x = - 32

Answer:

24964

Step-by-step explanation:

hope this works - btw this is not including 2 and 33

ANSWER:

x=61

STEPS FOR SOLVING LINEAR EQUATION :

Subtract 7x from both sides.

Combine 6x and −7x to get −x.

Subtract 59 from both sides.

Subtract 59 from −2 to get −61.

Multiply both sides by −1.

Hope it helps!!!

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Answer:

answer to the question is x=61

Answer:

See below

Step-by-step explanation:

If you factor [tex]a^2-a-30[/tex] you get [tex]\left(a^2+5a\right)+\left(-6a-30\right)[/tex]

= [tex]a(a+5)-6(a+5)[/tex]

= [tex]a(a+5)(a-6)[/tex]

That's where the a comes in

Not sure if that answers your question