When Lance goes jogging, his heart rate increases to pump blood faster and

Seven is reading a book while on vacation. So far, he has read 1/6 of the book. He wants to finish 3/6 of the book by the end of

SOVA2 [1]

Answer:

She has to read 2/6 more by the end of her vacation if she wants to finish 3/6 (1/2) of the book.

Step-by-step explanation:

If this wasn't the answer you were looking for please tell me so I can redo it.

4 0

3 years ago

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What is the slope of the line that passes through the points (2,0) and

Y_Kistochka [10]

Answer:

slope = - $\frac{1}{6}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (32, - 5)

m = $\frac{-5-0}{32-2}$ = $\frac{-5}{30}$ = - $\frac{1}{6}$

3 0

3 years ago

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The graph h = −16t^2 + 25t + 5 models the height and time of a ball that was thrown off of a building where h is the height in f

Thepotemich [5.8K]

Answer:

part 1) 0.78 seconds

part 2) 1.74 seconds

Step-by-step explanation:

step 1

At about what time did the ball reach the maximum?

Let

h ----> the height of a ball in feet

t ---> the time in seconds

we have

$h(t)=-16t^{2}+25t+5$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

so

The x-coordinate of the vertex represent the time when the ball reach the maximum

Find the vertex

Convert the equation in vertex form

Factor -16

$h(t)=-16(t^{2}-\frac{25}{16}t)+5$

Complete the square

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+5+\frac{625}{64}$

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}\\h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}$

Rewrite as perfect squares

$h(t)=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

The vertex is the point $(\frac{25}{32},\frac{945}{64})$

therefore

The time when the ball reach the maximum is 25/32 sec or 0.78 sec

step 2

At about what time did the ball reach the minimum?

we know that

The ball reach the minimum when the the ball reach the ground (h=0)

For h=0

$0=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

$16(t-\frac{25}{32})^{2}=\frac{945}{64}$

$(t-\frac{25}{32})^{2}=\frac{945}{1,024}$

square root both sides

$(t-\frac{25}{32})=\pm\frac{\sqrt{945}}{32}$

$t=\pm\frac{\sqrt{945}}{32}+\frac{25}{32}$

the positive value is

$t=\frac{\sqrt{945}}{32}+\frac{25}{32}=1.74\ sec$

8 0

3 years ago

Mike buys four equally priceDVD’s online each DVD cost the same amount with a 5.98 shipping charge included the total cost came

Butoxors [25]

Answer:

79.94 / 4 - 5.98 = 14 dollars and 5 cents

Step-by-step explanation:

If the DVDs were the same amount of money and he bought 4 of them and your total is 79.94 dollars you have to divide four from it because the DVDs are the same cost then your going to subtract 5.98 because that is shipping and your trying to find the total of the DVD and you get 14 dollars and 5 cents.

5 0

3 years ago

If f(x) = x2 – 2x, find:<br><br> f(6)=

creativ13 [48]

Answer:

0

Step-by-step explanation:

When x=6

f(6) =(6)2-2(6)=12-12=0

8 0

3 years ago

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