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Westkost [7]
3 years ago
15

Find the average rate of change for the given function from x = 1 to x = 2.

Mathematics
1 answer:
Akimi4 [234]3 years ago
3 0

Answer:

d. 2

Step-by-step explanation:

The average rate of change is found from ...

... (f(x2) -f(x1))/(x2 -x1) = (5 - 3)/(2 -1) = 2/1 = 2

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Segment AB is tangent to T at B. What is the radius of T?
juin [17]

The value of the radius of T is 28 units

<h3>How to determine the value of the radius of T</h3>

From the question, we understand that:

Segment AB is tangent to T at B

This means that

<ABT = 90

So, we have a right triangle

Let the radius of the triangle be r

By the Pythagoras theorem, we have

AT^2 = AB^2 + VT^2

This gives

(25 + r)^2 = 45^2 + r^2

Open the bracket

625 + 50r + r^2 = 2025 + r^2

Subtract r^2 from both sides of the equation

625 + 50r = 2025

Subtract 625 from both sides of the equation

50r = 1400

Divide both sides by 50

r = 28

Hence, the value of the radius of T is 28 units

Read more about tangent at:

brainly.com/question/17040970

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7 0
2 years ago
A shampoo company recently paid a consulting firm to produce a study to determine if using their product resulted in cleaner hai
V125BC [204]
You can’t record how clean someone’s hair is it depends on how they wash it and they probably wash it different every time. You could measure how dry their hair is after using that certain company’s shampoo.
8 0
4 years ago
Read 2 more answers
The points in each table lie on a line. Find the slope of the line.
Valentin [98]

Answer:

1

Step-by-step explanation:

Given table:

     x      -1    1   3   5

     y      -2   0   2  4

Unknown:

Slope of the line  = ?

Solution:

Each x and y pair on the table lies on the line. Therefore, we can use them to find the slope;

  Slope  = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }  

 let us take;

x₁ = -1        x₂ = 3

y₁ = -2        y₂ = 2

Insert the parameters and solve;

   Slope = \frac{2 - (-2)}{3- (-1)}   = \frac{4}{4}   = 1

The slope of the line is 1

4 0
3 years ago
Suppose the z-score of your grade on this Statistics exam turns out to be z=0.87. Which of the following is the best interpretat
exis [7]

Answer:

c.My grade is 0.87 standard deviations above the mean.

Step-by-step explanation:

given that the  z-score of your grade on this Statistics exam turns out to be z=0.87.

Z score is nothing but std normal variate

Any normal distribution can be converted into std normal by the transformation

Z = \frac{x-\mu}{\sigma}

Thus when z=0.87 we mean

x = Mean +0.87 sigma

Or my grade is 0.87 std deviations above the mean

Hence option C is right.

c.My grade is 0.87 standard deviations above the mean.

3 0
4 years ago
Use the distributive property to rewrite this expression. 7(3x+5)
Dovator [93]

Answer:

21x + 35

Step-by-step explanation:

6 0
3 years ago
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