If there are 19 successful outcomes in a sample with a size of 25, what is the sample proportion

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a

kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented $h(t)=-16t^2+20t$ .

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?

We will use average rate of change formula to solve our given problem.

$\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}$

$\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{6}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{2\cdot 6}{1}$

$\text{Average rate of change}=12$

Therefore, Spot's average rate of ascent is 12 feet per second.

3 0

2 years ago

A clothing store sells men's hats for $30 each. At this price, the store sells 100 men's hats per week. The owner estimates that

Mkey [24]

Answer:

Step-by-step explanation:

At this price, the store sells 100 men's hats per week. The owner estimates that for every $1 increase in price, one fewer men's hat is sold per week

6 0

2 years ago

Please help with math

m_a_m_a [10]

Answer:

24420.5

Step-by-step explanation:

Multiply all the numbers together to get the length of the cubiod

221*8.5*13= 24420.5

Hope this helped!

5 0

2 years ago

Read 2 more answers

Express your answer as a polynomial in standard form

Bingel [31]

Answer:

f(g(x)) = 4x² + 16x + 13

Step-by-step explanation:

Given the composition of functions f(g(x)), for which f(x) = 4x + 5, and g(x) = x² + 4x + 2.

<h3>Definitions:</h3>

The polynomial in standard form has terms that are arranged by descending order of degree.

In the composition of function f with function g, which is alternatively expressed as f ° g, is defined as (f ° g)(x) = f(g(x)).

In evaluating composition of functions, the first step is to evaluate the inner function, g(x). Then, we must use the derived value from g(x) as an input into f(x).

<h3>Solution:</h3>

Since we are not provided with any input values to evaluate the given composition of functions, we can express the given functions as follows:

f(x) = 4x + 5

g(x) = x² + 4x + 2

f(g(x)) = 4(x² + 4x + 2) + 5

Next, distribute 4 into the parenthesis:

f(g(x)) = 4x² + 16x + 8 + 5

Combine constants:

f(g(x)) = 4x² + 16x + 13

Therefore, f(g(x)) as a polynomial in x that is written in standard form is: 4x² + 16x + 13.

8 0

1 year ago

10. Find the number which when divided by 38 gives the quotient 23 and remainder 17. also I need a explanation with steps as to

Art [367]

Answer:

891

Step-by-step explanation:

The number/38=23+17/38

The number=891

4 0

2 years ago