How do you find the Average rate of change, when given two points?
Theses are the two points you can work with: (32,122) and (53,163)
Please explain with detail and steps as I am unaware of the process.

Answer:

i think c

Step-by-step explanation:

Answer:

b = - 1.09

Step-by-step explanation:

- 2.9 + b ÷ 0.1 = - 39.9

- 2.9 + b ÷ 0.1 × 0.1 = - 39.9 × 0.1

- 2.9 + b = - 3.99

- 2.9 + 2.9 + b = - 3.99 + 2.9

b = - 1.09

Answer:

Exact form

b=-37/10

Decimal form

b=-3.7

Mixed Number form

b+-3 7/10

Step-by-step explanation:

-2.9+b/1/10+-39.9

-2.9+10b+-39.9

10b=-39.9+2.9

10b=-37

b=-37/10

We can conclude that the dilated triangle abc is similar to the original triangle ABC with a dilation factor of 3,

Dilation is a transformation that performs a proportional resize of a figure. It changes the size of the figure while maintaining its shape and orientation. To dilate triangle ABC to create triangle abc, we can multiply the coordinates of each vertex of ABC by a dilation factor of 3.

The coordinates of the vertices of the original triangle ABC are A(-3,-3), B(3,3), and C(0,3). Multiplying each coordinate by 3 gives the coordinates of the vertices of the dilated triangle abc : A(-9,-9), B(9,9), and C(0,9).

We can compare the two triangles to see how the dilation has affected them. The size of triangle abc is three times larger than that of triangle ABC. The shape and orientation of triangle abc are the same as that of triangle ABC. The vertices of the dilated triangle, abc, are located at three times the distance from the origin as the corresponding vertices of triangle ABC. That is why the coordinates of all vertices of triangle abc are three times the coordinates of the corresponding vertices of triangle ABC. since the triangle was resized proportionally and has the same shape and orientation.

For such more questions on triangle

https://brainly.com/question/28470545

#SPJ8

Answer:

157.92 + d = ?

Step-by-step explanation: Since you don't the amount of what his grandmother gave him you substitute the "number" for a letter. Example A or D.

I hope this helps.

A circle can be represented as an equation or on a graph

The equations of the circles are \(x^2 + y^2 = 36\) and \((x + 4)^2 + (y + 2)^2 = 16\)

The equation of a circle is represented as:

\((x - a)^2 + (y - b)^2 =r^2\)

Where:

Center = (a,b)

Radius = r

For circle A, we have the equation to be:

\((x - 0)^2 + (y - 0)^2 =6^2\)

\(x^2 + y^2 = 36\)

For circle B, we have the equation to be:

\((x + 4)^2 + (y + 2)^2 =4^2\)

\((x + 4)^2 + (y + 2)^2 = 16\)

Hence, the equations of the circles are \(x^2 + y^2 = 36\) and \((x + 4)^2 + (y + 2)^2 = 16\)

See attachment for the graphs

Read more about circle equations at:

https://brainly.com/question/1559324

Answer:

A. (green)
x2 + y2 = 36

B. (orange)
(x + 4)2 + (y + 2)2 = 16

Step-by-step explanation:

Have an AWESOME day
Love yaa
-NaomiTheGenius

Wealthy Romans relied on servants to run their households.

https://brainly.com/question/16395373

Answer:

The correct answer is Wealthy Romans relied on servants to run their households.

Step-by-step explanation:

I got it right on edge 2022

Answer:

f(x)=-x2

Step-by-step explanation:

I believe the first one has a vertex at (-4, 0), the second at (4, 0), the third at (4, -4). The only remaining answer is the last one.

Answer:

D

Step-by-step explanation:

Answer:

this is an example of your question

I hope it helps

The [h*] in the given solution is 1.84 x 10^-10 M. It is important to note that this value indicates the concentration of hydronium ions (H3O+) in the solution, which is also known as the acidity of the solution.

The [h*] in a solution can be calculated using the formula Kw = [h*][oh-], where Kw is the ion product constant of water, which is equal to 1.0 x 10^-14 at 25°C. By substituting the given value of [oh-] = 5.42 x 10^-5 m into this equation, we can solve for [h*] as follows:

Kw = [h*][oh-]
1.0 x 10^-14 = [h*] x 5.42 x 10^-5
[h*] = 1.0 x 10^-14 / 5.42 x 10^-5
[h*] = 1.84 x 10^-10 M

Therefore, the [h*] in the given solution is 1.84 x 10^-10 M. It is important to note that this value indicates the concentration of hydronium ions (H3O+) in the solution, which is also known as the acidity of the solution. A lower [h*] value indicates a more basic solution, while a higher [h*] value indicates a more acidic solution.

To know more about Solution  visit :

https://brainly.com/question/15757469

#SPJ11

EXPLANATION

We are asked to describe the translation of the functions with respect to f(x) =x

To translate the function up and down, you simply add or subtract numbers from the whole function. If you add a positive number (or subtract a negative number), you translate the function up. If you subtract a positive number (or add a negative number), you translate the function down.

In function notation, to shift a function left, add inside the function's argument: f(x + b) shifts f(x) b units to the left. Shifting to the right works the same way, f(x - b) shifts f(x) b units to the right.

To do so, we will have to plot the graph of each function and compare it with f(x) represented by the red lines below

Part A

Thus, we will have

For part B

when

The translation here is

Part C

For the function

The graph is

Thus, we have the translation as A horizontal shift to the left by 2 units

Part D

The given function is

The transformed graph is

The translation is a shift to the right by 7.5 units

Answer:

.6 points per week

Step-by-step explanation:

9/15

Answer:

3  1/5

Step-by-step explanation:

I used my calculator, but convert to the greatest common factor which is 15 and multiply, then simplify to 16/5 and turn to a proper fraction 3 1/5.

Answer:

=  16/5  =  3  1/5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

By using given figure, x=9/4 and the length of GH = 21.75.

What is the length ?

Here, in given figure,

BG≈GF and CH≈HE

now by using these similarities, we can write as,

BG≈GF therfore, \(\frac{GF}{BG}\) = 1:1

\(\frac{GF}{BF}\)=\(\frac{4x+8}{34}\)

1/2=\(\frac{4x+8}{34}\)

8x+16=34

8x= 18

x=9/4

if x=9/4 then,

GH= 7x+6 = 7(9/4)+6 =63/4+6 =\(\frac{63+24}{4}\) = 21.75

What is similarity of sides?

similarity of sides refers to the property of two geometric shapes or figures having the same shape but not necessarily the same size. More specifically, two shapes are said to be similar if their corresponding angles are congruent and their corresponding sides are proportional in length.

To know more baout similarities, visit:

https://brainly.com/question/9753824

#SPJ1

Answer:

angel 5,4,and 6 in that order

Step-by-step explanation:

Answer:

look at the pictureeeeeee

Step-by-step explanation:

Answer:

x=3.9

Step-by-step explanation:

\(sin(50)=\frac{3}{x} \\ x=\frac{3}{sin(50)}\\ x=3.9\)

The life expectancy will reach 75 years old in the year 1970.

We have,

Let's start by defining the variables:

L = life expectancy in years

t = time in years since 1900

We know that from 1900 to 1960, life expectancy increased at a constant rate of 0.401 years per year.

So, we can write the following equation to represent the relationship between L and t:

L = 0.401t + b

where b is the life expectancy in 1900.

To find b, we can use the fact that the life expectancy in 1900 was around 47 years old.

b = 47

So, the equation becomes:

L = 0.401t + 47

We also know that in 1942, the life expectancy was 62.9 years old.

So, we can use this information to find the value of t in 1942:

62.9 = 0.401t + 47

Solving for t, we get:

t = (62.9 - 47) / 0.401 = 39.15

In 1942,

t = 39.15.

To find the year when the life expectancy reaches 75 years old, we can plug in L = 75 into the equation and solve for t:

75 = 0.401t + 47

Solving for t.

t = (75 - 47) / 0.401 = 69.82

So, the life expectancy will reach 75 years old in the year:

1900 + 69.82 = 1969.82

Therefore,

The life expectancy will reach 75 years old in the year 1970.

Learn more about life expectancy here:

https://brainly.com/question/30036353

#SPJ1

Answer:

\(y=\dfrac{2}{7}x-12\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}\)

Given:

The y-intercept is the y-value when x = 0.

Substitute the slope and y-intercept into the formula to create the equation of the line in slope-intercept form:

\(\implies y=\dfrac{2}{7}x-12\)

The margin of error for the 95% confidence level is 0.66. Then the correct option is D.

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

The times it took for 35 loggerhead sea turtle eggs to hatch in a simple random sample are normally distributed, with a mean of 50 days and a standard deviation of 2 days. assuming a 95% confidence level (95% confidence level = z-score of 1.96)

The margin of error is given by

\(\rm Margin \ of \ error = z \times \dfrac{\sigma}{\sqrt{n}}\\\\Margin \ of \ error = 1.96 \times \dfrac{2}{\sqrt{35}}\\\\Margin \ of \ error = 0.6626 \approx 0.66\)

The margin of error for the 95% confidence level is 0.66. Then the correct option is D.

More about the margin of error link is given below.

https://brainly.com/question/6979326

Answer:

D

Step-by-step explanation:

on edge

The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.

To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the initial temperature of 25 °C to Kelvin:

T1 = 25 + 273.15 = 298.15 K

Next, we can rearrange the ideal gas law equation to solve for V2:

V2 = (P1 * V1 * T2) / (P2 * T1)

We have:

P1 = 1.08 atm (initial pressure)

V1 = 50.0 L (initial volume)

P2 = 0.855 atm (final pressure)

T2 = 10.0 °C (final temperature)

Converting the final temperature to Kelvin:

T2 = 10 + 273.15 = 283.15 K

Substituting the values into the equation:

V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)

V2 ≈ 42.81 L

Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.

To know more about ideal gas law refer here:

https://brainly.com/question/30458409#

#SPJ11

The sample space for the number of boys, and number of girls in a family with exactly three children is

S = {GGG, GGB, GBG, GBB, BGG, BGB, BBG, BBB}

These are

GGG/BBB = three girls / three boys with a probability of 1/8.

GGB, GBG, BGG = two girls, and one boy, with a probability of 3/8

GBB, BGB, BBG = two boys, and one girl with a probability of 3/8

Summarizing, the outcomes are

{3 boys, 2 boys and 1 girl, 1 boy and 2 girls, 3 girls}; The outcomes are not equally likely.

Answer:

Madhu played better.

Step-by-step explanation:

Change both fractions to where they have the same denominator to see which one is bigger. The smallest possible denominator between the two fractions is 117.  

To get the 13 in 6/13 to become 117, you had to multiply it by 9. Whatever you do to the denominator, you must do to the numerator.

6 x 9 = 54.

Allison's fraction is now 54/117.

To get the 9 in 5/9 to become 117, you had to multiply the 9 by 13. Whatever you do to the denominator, you must do to the numerator.

5 x 13 = 65

Madhu's fraction is now 65/117

By looking, 65 is larger than 54, so Madhu had a larger number of shots compared to shots not made than Allison.

Step-by-step explanation:

OR

Answer:

y = 1/5x + 8

Step-by-step explanation:

Slope of the perpendicular line: 1/5 (opposite reciprocal)

Point: (5,9)

y-intercept: 9 - (1/5)(5)

= 9 - 1 = 8

Answer:

Let s be the speed of the plane. Then s - 100 is the speed of the car.

640/s = 240/(s - 100)

640(s - 100) = 240s

8(s - 100) = 3s

8s - 800 = 3s

5s = 800, so s = 160 mph

The speed of the plane is 160 mph, and the speed of the car is 60 mph.

Answer:

$138

Step-by-step explanation:

The final answer is 8013.996 with 6 significant figures. In scientific notation, the answer is 8.013996 × 10³.

a) 7987.34 + 23.456 - 7.8

1. Addition: 7987.34 + 23.456 = 8020.796

The number of significant figures in 8020.796 is 6, which is the same as the number of significant figures in 7987.34 (the number with the least significant figures).

2. Subtraction: 8020.796 - 7.8 = 8013.996

The number of significant figures in 8013.996 is 6, which is the same as the number of significant figures in 8020.796 (the number with the least significant figures).

Hence, the final answer is 8013.996 with 6 significant figures. In scientific notation, the answer is 8.013996 × 10³.

To learn more about scientific notation, visit:

brainly.com/question/29975150

#SPJ4

Answer:

7 1/4

Step-by-step explanation:

4 3/4 + 2 1/2 =

4 3/4 +2 2/4 =7 1/4

Answer:

7 1/4 hours

Step-by-step explanation:

4 3/4 + 2 1/2

Get a common denominator

4 3/4 + 2 2/4

6 5/4

Rewriting as

6 + 4/4 + 1/4

6 + 1 + 1/4

7 1/4 hours

Answer:

yasssssssss queen

Step-by-step explanation: