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Use the graph representing bacteria decay to estimate the domain of the function and solve for the average rate of change across the domain.


0 ≤ y ≤ 80, −0.6875

0 ≤ y ≤ 80, −1.45

0 ≤ x ≤ 55, −1.45

0 ≤ x ≤ 55, −0.6875

The domain of the given function is [0,55] and the average rate of change is -1.45 so option (C) is correct.

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

The domain of a function is the set of input values that the function defines.

The function goes from x = 0 to x = 55 thus  0 ≤ x ≤ 55 will be the domain.

The average slope for (0,80) and (55,0)

⇒ (0 - 80)/(55 - 0) = -1.45

Hence "The domain of the given function is [0,55] and the average rate of change is -1.45".

For more details about the range and domain of the function,

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What is the fractional equivalent of the repeating decimal n = 0.1515... ?
Answer the questions to find out.

1. How many repeating digits does the number represented by n have?


Write your answer in the space below.















2. You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number.


Write your answer in the space below.















3. Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power.


Write your answer in the space below.















4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. Show your work.


Write your answer in the space below.















5. Write n as a fraction in simplest form. Show your work.


Write your answer in the space below.

The maximum speed that a sailboat can reach depends on the size of the boat. The graph below shows the maximum speed, v, that a sailboat can reach as a function of its length, L.
The longer the sailboat is, the_____it can go.
For a boat to reach the speed of 10 kilometers per hour, it needs to be at least___feet long.
The maximum speed that an 888-foot boat can reach is___kilometers per hour.
A 16-foot sailboat at top speed is_____as fast as a 4-foot sailboat at top speed.

Why does -2.4-(-7)have the same result as -2.4+7? Explain your reasoning.

To avoid a storm, a passenger-jet pilot descended 0.51 mile in 0.6 minute. What was the plane's average change of altitude per minute?

Put the following numbers in order from least to greatest: 5.13, 5.07, 5.009, 5.203
A. 5.203, 5.13, 5.07, 5.009
B. 5.13, 5.07, 5.009, 5.203
C. 5.07, 5.009, 5.203, 5.13
D. 5.009, 5.07, 5.13, 5.203

Answer the following question below, Please type your final answer in parentheses Ex: (1,2) *
50 points

Find the value of x in the triangle below.

Solve p + 20 = 27 p =

PLEASE HELP ASAP

Triangle ABC is transformed to triangle A′B′C′, as shown below:


A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair negative 1, 3, B at ordered pair 0, 1, C at ordered pair negative 3, 0. A triangle A prime B prime C prime has A prime at ordered pair negative 1, negative 3, B prime at ordered pair 0, negative 1, C prime at ordered pair negative 3, 0.
Which equation shows the correct relationship between the measures of the angles of the two triangles?

The measure of angle CAB = The measure of angle C prime B prime A prime
The measure of angle BCA = The measure of angle A prime B prime C
The measure of angle CAB = The measure of angle C prime A prime B prime
The measure of angle BCA = The measure of angle C prime A prime B prime

When finding the common denominator between fractions, which value can be helpful, GCF or LCM?

h e l p meee-
Which describes the life of an indentured servant in colonial times?

Choose all of the answers that are correct.

A. legally bound to the employer for a set amount of time

B. spent evenings reading or entertaining guest

C. had to do whatever job were assigned

D. viewed as someone's property for life

help plz

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Write your answer in decimal form and round to the tenths decimal place.

please i need help and this is due in an hour

find slope of the line

In two or more complete sentences write and solve an inequality for the following situation and explain how you will
solve the inequality
No
The doctor tells Jerry that he will be at most 72 inches tall. He is already 48 inches tall. How many more inches will Jerry
grow?

Which of the following equation shows a proportional relationship between x and y? 0 y 1-5 O y=x+4 O y ta Why

y=1/3x-5
y=x+4
y=1/5x
y=1/5x+8​

Solve [tex]x^{3}[/tex] = 64.

What are the domain and range for the representative exponential function in the graph below?
A)Domain: y > 0
Range: x ∈ R
B)Domain: x ∈ R
Range: y > 0
C)Domain: x ∈ R
Range: y ≥ 0
B)Domain: y ≥ 0
Range: x ∈ R

The temperature on Monday was -7 °C. By Tuesday the temperature rose to -4 °C. Find the change in temperature.

11
3
4
7

I NEED HELP QUICK!!!!!! Which situation could the expression (-6)-3 represent?
A. The temeprature was -6 degrees. Then it increased 3 degrees.
B. Dina spent 6 dollars on a sandwich. Then she spent 3 dollars on a drink.
C. Elijah dropped an anchor 6 meters into the lake. Then he raised it 3 meters.
D. Dora has 6 pencils. Then she gave 3 pencils away.

4x-12<4
Answers could be
5
6
3
4
7

which statements are correct check all that apply A number line going from negative 1 to positive 1 in increments of 1. There are 4 equal spaces between each number. The line contains negative 1, A, B, C, 0, D, E, F, 1. Which statements are correct? Check all that apply. Point A is plotted at –0.25. Point B is plotted at Negative one-half. Point C is an integer. Point D is a rational number. Point F is plotted at Three-fourths.

Please help me and actually show me the work DONT write a whole explanation on how to do it please thank u

HELP!
Which of the following functions represents the values in the table below?

x     0         2         4         6    
f(x)     2         10         66         218    

f(x) = -3x - 2x^2

f(x) = x^2/2

f(x) = 2 + x^3

f(x) = 3x - 2

pease help mw alottttttt

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Tony bought 3 tickets to a concert for $78. How much will it cost for 6 tickets to the concert if all tickets have the same unit price? Use the table below to help determine the missing value:

Number of Tickets 3 4 5 6
Cost $78 $104 $130 ?
(3 points)
Select one:

a.
$136

b.
$146

c.
$156

d.
$234

help asap
Figure PQRS is reflected about the y-axis to obtain figure P'Q'R'S':

A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A polygon PQRS has P at ordered pair 1, 1, Q at ordered pair 2, 3, R at ordered pair 3, 3, S at ordered pair 4, 2. A polygon P prime Q prime R prime S prime has P prime at ordered pair negative 1, 1, Q prime at ordered pair negative 2, 3, R prime at ordered pair negative 3, 3, and S prime at ordered pair negative 4, 2.

Which statement best describes the relationship between the two figures?

Figure PQRS is bigger than figure P'Q'R'S'.
Figure PQRS is similar to figure P'Q'R'S'.
The measure of angle S is equal to the measure of angle Q'.
The measure of angle S is equal to the measure of angle P'.

Can anyone help? grnheujghniuhwseruhuiwheriuh (Sorry about the letters just trying to get past the 20 words.)

Express 16.54 as a mixed number.