The graph represents the heights of two climbers on a climbing wall over a 12-minute time period.

The reaction of the graduate student on inflation is that a cost-of-living increase to her stipend.      

Inflation is the pace of expansion in costs over a given time-frame. Inflation is regularly a wide measure, like the general expansion in costs or the expansion in the typical cost for many everyday items in a country.

Inflation is term which states there is an expansion in the cost level for any labor and products.

In the unique situation, a set of experiences graduate living in the US got a payment of 18,000 dollar. However, there is a critical expansion that US economy endures. In this way the expense of products and the administrations accessible to individuals increments quickly. Individuals presently need to spend more on everything. Accordingly the alumni understudy requirements to request the typical cost for most everyday items to be remembered for the payment as need might arise to spend more on living.

Thus, graduate student argue on the a cost-of-living increase to her stipend.      

To know more about inflation visit:

brainly.com/question/29065347

#SPJ4

Answer:

2.2 miles

Step-by-step explanation:

6.7 - 4.5 = 2.2

Answer:

6.7 miles

Step-by-step explanation:

The sentence about 4.5 miles is extra info. you don't need. In the question it says he needs to run 6.7 miles, then continues to ask how many miles he needs to run.

I hope this answers your question and you understand! Have a great rest of your day! :)

The approximate size of the cover that Maria will need to buy is 45. 84 square feet

The formula for calculating the circumference of a circle is expressed as;

Circumference = πr²

Where 'r' is the radius of the circle

Now, let's substitute the value of the circumference

24 = 2 × 3. 14 × r

r = 24/6. 28

r = 3. 82 feet

Formula for area = πr²

Substitute value of r

Area = 3. 14 × (3. 82)²

Area = 3. 14 × 14. 59

Area = 45. 84 square feet

Hence, the value is  45. 84 square feet

Learn more about area here:

https://brainly.com/question/25292087

#SPJ1

Answer:

x = 15°

Step-by-step explanation:

the inscribed angle APB is half the measure of the central angle AOB , so

x = \(\frac{1}{2}\) × 30° = 15°

Answer:

$96.95

Step-by-step explanation:

13.85*7=96.95

Answer:

40 - 2x= 6

there are 17 students in her math class.

Step-by-step explanation:

Answer:

The answer would be 6.66

The probability of event A and event B is 6.

Given that, P(A)=6, P(B)=20 and P(A∩B)=6.

P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.

P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10

We know that, P(A and B)=P(A/B)×P(B)

= 3/10 × 20

= 3×2

= 6

Therefore, the probability of event A and event B is 6.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ1

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

Explanation:

You have the right idea, but keep in mind that it says consecutive even integers. So we're only looking at numbers like 2,4,6,8,... and these numbers must follow one right after another. If that "even" wasn't there, then your answer and steps would be 100% correct.

If x is an even number, then x+2 is the next even number, and x+4 is the one after that.

Add them up to get

(x)+(x+2)+(x+4)

x+x+2+x+4

(x+x+x)+(2+4)

3x+6

Then divide by 3 to compute the average

(3x+6)/3

3x/3 + 6/3

x+2

Set this average equal to 48 and solve for x

x+2 = 48

x = 48-2

x = 46 is the smallest number

x+2 = 46+2 = 48 is the middle value

x+4 = 46+4 = 50 is the largest

Note how the middle value is exactly the average. This is because we have symmetry going on here.

It's similar to how the average of the set {1,2,3} is 2 since 2 is in the middle.

-------------------

Check:

add the values: 46+48+50 = 144

divide by three: 144/3 = 48

The average of the set {46,48,50} is 48

This confirms the answer

Answer:

uhh... that is impossible to know since we don't know the value 'y'

Step-by-step explanation:

Answer:

-0.75x+8.1

Step-by-step explanation:

Answer:-0.75x+8.1

Step-by-step explanation:

The area of the quadrilateral ABCD for this case is of 4 square units.

The quadrilateral ABCD in the context of this problem represents a diamond, hence it's area is given by half the product of the diagonal lengths of the diamond.

The lengths for each diagonal of the diamond are given as follows:

The product of the diagonal lengths is given as follows:

AC x BD = 2 x 4 = 8 square units.

Hence half the product of these diagonal lengths, representing the area of the quadrilateral, is given as follows:

0.5 x 8 square units = 4 square units.

More can be learned about the area of a quadrilateral at https://brainly.com/question/14305742

#SPJ1

a) The null hypothesis H sub 0 is that the mean time for the mice to complete the maze with the loud noise is equal to 18 seconds, or H sub 0: µ = 18. The alternative hypothesis H sub a is that the mean time for the mice to complete the maze with the loud noise is less than 18 seconds, or H sub a: µ < 18. A Type I error would occur if the researcher rejects the null hypothesis and concludes that the loud noise causes the mice to complete the maze faster when in fact it does not. A Type II error would occur if the researcher fails to reject the null hypothesis and concludes that the loud noise does not cause the mice to complete the maze faster when in fact it does.

b) The null hypothesis H sub 0 is that the mean score for the teaching assistant's students is equal to 50, or H sub 0: µ = 50. The alternative hypothesis H sub a is that the mean score for the teaching assistant's students is greater than 50, or H sub a: µ > 50. A Type I error would occur if the teaching assistant rejects the null hypothesis and concludes that his students have a higher mean score than the class as a whole when in fact they do not. A Type II error would occur if the teaching assistant fails to reject the null hypothesis and concludes that his students do not have a higher mean score than the class as a whole when in fact they do.

c) The null hypothesis H sub 0 is that the mean percent of total spending on housing for households in the Cleveland metropolitan area is equal to 31%, or H sub 0: µ = 31%. The alternative hypothesis H sub a is that the mean percent of total spending on housing for households in the Cleveland metropolitan area is not equal to 31%, or H sub a: µ ≠ 31%. A Type I error would occur if the homebuilders association rejects the null hypothesis and concludes that the national finding does not apply in their area when in fact it does. A Type II error would occur if the homebuilders association fails to reject the null hypothesis and concludes that the national finding does apply in their area when in fact it does not.

To know more about null hypothesis click here:

https://brainly.com/question/30821298

#SPJ11

Statement                Reason

m∠A ÷ 5 = m∠B       1. Given

m∠B = 20                 2. Given

m∠A ÷ 5 = 20           3. Substitution

m∠A = 100                4. Multiplication property of equality

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

m∠A ÷ 5 = m∠B  ____(1)

m∠B = 20 _____(2)

Substitute (2) in (1)

m∠A ÷ 5 = 20

m∠A / 5 = 20

Multiply 5 on both sides.

m∠A = 5 X 20

m∠A = 100

Thus,

Statement                Reason

m∠A ÷ 5 = m∠B       1. Given

m∠B = 20                 2. Given

m∠A ÷ 5 = 20           3. Substitution

m∠A = 100                4. Multiplication property of equality

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer:

-3x+12 = -3(x-4)

-2(x+9) = −2x−18

Step-by-step explanation:

Answer:

4 and -9

Step-by-step explanation:

-3x+12=0

subtract 12 from both sides

-3x=-12

divide both sides by -3

x=4

-2(x+9)

distribute the -2 throughout

-2x-18=0

add 18 to both sides

-2x=18

divide both sides by -2

x= -9

Answer:

y = -7x + 16 and y = -2x - 9

Step-by-step explanation:

Of the five equations the only ones that exist at the point, (5, -19) are y = - 7x + 16 and y = -2x - 9 (Test them out yourself!).

Hope this helps :)

This is equivalent to 0.6 in decimal form

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

Explanation:

To find the slope, divide the rise over run

In this case, we have:

Therefore,

slope = rise/run = 6/10 = 3/5 = 0.6

The slope of the line that passes through (-3, -8) and (7, -2) will be 3/5.

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

From the graph, the points are (-3, -8) and (7, -2). Then the slope of the line is calculated as,

m = (- 8 + 2) / (- 3 - 7)

m = 6 / 10

m = 3/5

The slope of the line that passes through (-3, -8) and (7, -2) will be 3/5.

More about the slope link is given below.

https://brainly.com/question/3605446

#SPJ7

Answer: 8

16÷4×2

4×2

8

Step-by-step explanation:

B=Brackets

O=of

D=Division

M=Multiplication

A=Addition

S=Subtraction

Now, coming to problem

First, we will use operation division, then Multiplication.

=4× 2

=8

Answer

43.96

14 x 3.14 = 43.96

hope this helped!

The graph that best shows the line of best fit is graph (c)

A graph that shows the appropriate line of best fit has the following properties:

The graph that satisfies the above highlights is the graph (c)

Hence, the graph that best shows the line of best fit is graph (c)

Read more about line of best fit at:

https://brainly.com/question/15340339

#SPJ1

Answer:

c

Step-by-step explanation:

The probability that a randomly selected employee lives in Austin and drives a car is 0.057

Here, we want to get the probability that a selected employee works in Austin and drives a car to work

Firstly, we need the number of employees that work in Austin and drive a car to work

Looking at the table, we have the number of employee that lives in Austin and drive a car to work as 63

To get the corresponding probability, we simply divide this number by the total number of employees which is 1,103

We have the probability as;

Answer X = 3

Step-by-step explanation:

Gimme brain crown thingy

Answer:

\(\Longrightarrow: \boxed{\sf{y=3-4x}}\)

Step-by-step explanation:

To solve for y, you have to isolate it on one side of the equation.

First, you have to subtract by 12x from both sides.

\(\Longrightarrow:\sf{12x+3y-12x=9-12x}\)

Solve.

\(\Longrightarrow:\sf{3y=9-12x}\)

Then, you divide by 3 from both sides.

\(\Longrightarrow:\sf{\dfrac{3y}{3}=\dfrac{9}{3}-\dfrac{12x}{3}}\)

Solve.

\(\sf{\dfrac{9}{3}-\dfrac{12x}{3}}\)

\(\sf{\dfrac{9-12x}{3}}\)

Use the distributive property.

\(\underline{\text{DISTRIBUTIVE PROPERTY:}}\)

9-12x=3(3-4x)

\(\sf{\dfrac{3\left(3-4x\right)}{3}}\)

Divide the numbers from left to right.

3/3=1

3-4x

Then, rewrite the problem down.

\(\Longrightarrow: \boxed{\sf{y=3-4x}}\)

I hope this helps! Let me know if you have any questions.

Answer:

y = (3) - (4x)

Step-by-step explanation:

Note: Since there is only one equation given, the value of "y" will not be a fixed value.

Given equation:

Our main goal to solve for "y" is to have the y-variable on one side, and a specific value or variable on the other side (e.g., y = 3 or y = 4x) . Start out by subtracting both sides by 12x. This will isolate the y-variable and it's cooeficient (3).

Once the y-variable and the cooeificent of the variable have been isolated, we can divide both sides by the cooeficient to isolate the variable.

Therefore, the value of "y" is 3 - 4x.

The answer is ,  the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:

\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)

The Taylor series expansion is a way to represent a function as an infinite sum of terms that depend on the function's derivatives.

The Taylor series of a function f(x) centered at c is given by the formula:

\(\large f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(c)}{n!}(x-c)^n\)

Using the definition of Taylor series to find the Taylor series (centered at c=0) for the function f(x) = e^(4x), we have:

\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{e^{4(0)}}{n!}(x-0)^n\)

\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n\)

Therefore, the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:

\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)

To know more about Function visit:

https://brainly.in/question/222093

#SPJ11

The Taylor series for f(x) = e^(4x) centered at c = 0 is:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

To find the Taylor series for the function f(x) = e^(4x) centered at c = 0, we can use the definition of the Taylor series. The general formula for the Taylor series expansion of a function f(x) centered at c is given by:

f(x) = f(c) + f'(c)(x - c) + f''(c)(x - c)^2/2! + f'''(c)(x - c)^3/3! + ...

First, let's find the derivatives of f(x) = e^(4x):

f'(x) = d/dx(e^(4x)) = 4e^(4x)

f''(x) = d^2/dx^2(e^(4x)) = 16e^(4x)

f'''(x) = d^3/dx^3(e^(4x)) = 64e^(4x)

Now, let's evaluate these derivatives at x = c = 0:

f(0) = e^(4*0) = e^0 = 1

f'(0) = 4e^(4*0) = 4e^0 = 4

f''(0) = 16e^(4*0) = 16e^0 = 16

f'''(0) = 64e^(4*0) = 64e^0 = 64

Now we can write the Taylor series expansion:

f(x) = f(0) + f'(0)(x - 0) + f''(0)(x - 0)^2/2! + f'''(0)(x - 0)^3/3! + ...

Substituting the values we found:

f(x) = 1 + 4x + 16x^2/2! + 64x^3/3! + ...

Simplifying the terms:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

Therefore, the Taylor series for f(x) = e^(4x) centered at c = 0 is:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

To know more about Taylor series, visit:

https://brainly.com/question/32235538

#SPJ11

Answer:

Step-by-step explanation:

The scale factor of an enlargement is greater than 1.

The scale factor of a reduction is less than 1.

A scale factor of 1 will produce a congruent figure, one the same size as the original.

_____

A longer way to say it

A figure is enlarged when its dimensions are greater than those of the original. Then the ratio of dimensions will be ...

  (greater than original)/(original) = greater than 1

Similarly, a figure is reduced when its dimensions are less than those of the original:

  (less than original)/(original) = less than 1

Multiplying dimensions by a scale factor of 1 does not change them. The scaled figure is the same size as the original.

In a transformation called a translation, the pre-image is slid either vertically or horizontally.

A translation is a type of transformation in geometry where the pre-image (original figure) is moved or slid to a new position in a specific direction. The movement can be either vertical or horizontal.

When a pre-image is translated vertically, it means that it is moved up or down without any change in its orientation. The entire figure maintains the same shape and size, but its position on the coordinate plane is shifted vertically.

On the other hand, when a pre-image is translated horizontally, it is moved left or right while preserving its original shape and size. The orientation of the figure remains the same, but its position on the coordinate plane is shifted horizontally.

In both cases, the translation occurs without any rotation, reflection, or resizing of the pre-image. The resulting image is a new figure that is congruent to the original but located at a different position on the plane.

Learn more about transformation here:

https://brainly.com/question/11709244

#SPJ11

Answer: 12.48

Step-by-step explanation:

38x38+bxb=40x40

1444+b=1600

1600-1444=156

\(\sqrt156\)=12.48

The base of the house is 12.48 foot far from the foot of the ladder.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

It is given that A 40-foot ladder reaches 38 feet up the side of a house.

We need to find that How far from the base of the house is the foot of the ladder.

Using Pythagoras theorem, we get;

\(38^2 + b^2 =40^2\\\\1444 + b^2 = 1600\\ \\b^2 = 1600 - 1444 \\\\b^2= 156\\\\b = 12.48\)

Therefore, the base of the house is 12.48 foot far from the foot of the ladder.

Learn more about Pythagoras theorem;

https://brainly.com/question/343682

#SPJ2