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MArishka [77]
3 years ago
13

A penny is dropped from the roof of a building 265 feet above the ground. The height h (in feet) of the penny is a function of t

he time t (in seconds) and can be represented by the function h(t) = -16t^2 + 256. What does h(4) = 0 mean in regards to the penny?
Mathematics
1 answer:
zvonat [6]3 years ago
3 0

Answer:

see below

Step-by-step explanation:

h(t) = -16t^2 + 256

h(4) =0

This means at t=4 second the height above the ground is 0

At 4 seconds, the penny will hit the ground

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k>5/14

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Is there any more details to the question?

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The average rate of a printer is 4 seconds per page. At this rate, how many pages will be
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3 years ago
A shipping service restricts the dimensions of the boxes it will ship for a certain type of service.
Mandarinka [93]

Answer:

Then the answer is option a  

a. 0<x \leq10

Step-by-step explanation:

perimeter + height is less than 130 inches.

If height is 60 inches.then perimeter left is 70 inches.

If perimeter was more than 70 inches then perimeter 60 more than the height would be more than 130.

perimeter of rectangle is

It has two widths and two lengths because that's what rectangles do.

width of base "x"

Then the length is 2.5x

perimeter = 2 width + 2 length

= 2(x) + 2(2.5x)

= 2x + 5x

= 7x

but perimeter can't be more than 70 inches.

So x can't be more than 10 inches because if x was more than 10 inches, then 7x which is perimeter would be more than 70 inches.

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7x + 60 ≤ 130

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Then the answer is option a  

a. 0<x≤10

3 0
3 years ago
Solve each exponential equation.<br> 6^x+2 = 12
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Answer:

The solution is x = 1/log(6)

Step-by-step explanation:

Hi there!

First, let´s write the equation:

6ˣ + 2 = 12

subtract 2 at both sides of the equation

6ˣ = 10

apply log at both sides of the equation

log(6ˣ) = log(10)       log(10) = 1

Apply logarithm property: log(xᵃ) = a log(x)

x log(6) = 1

Divide both sides by log(6)

x = 1/log(6)

The solution is x = 1/log(6)

Have a nice day!

7 0
3 years ago
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