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2 years ago

Luke divided 16.80 by 2.5 as shown, but he forgot to put the decimal point in the answer.

Mathematics

1 answer:

Rufina [12.5K]2 years ago

7 0

Answer:

Step-by-step explanation:

The decimal point should be placed between the digits 8 and 0 because the quotient should be greater than 18÷3 and less than 21÷3.

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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

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

48 gallons in 14 mins simplified

zvonat [6]

48/14 so you just simplify that for gallons/minutes. something that goes into both of those numbers is 2 so you would have 24/7 when you divide by 2. that’s your answer.
24/7

5 0

3 years ago

Help me plz guys for 14 point

strojnjashka [21]

I think its true, since perimeter is the diatance around. I would say mines correct, but you could try. I hope that helped atleast a little. :)

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2 years ago

Which equation does NOT represent y as a quadratic function of x?

ad-work [718]

Answer:

B. y-x=2y+16

Step-by-step explanation:

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3 years ago

Plz help people who are good at math

seropon [69]

Answer:

<ABC

Step-by-step explanation:

When you use three points, two points must be on the rays of the anlge. The middle point must be the vertex.

Answer: <ABC

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3 years ago

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