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kumpel [21]
3 years ago
7

An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled usin

g h(t) = 144 – 16t2.
How many seconds will it take the object to reach the ground?
Mathematics
1 answer:
quester [9]3 years ago
3 0

Answer: <u><em>*For 2 being an exponent*</em></u>: 3 seconds

<em><u>*For 2 being multiplied to t* </u></em>: 4.5 seconds

Step-by-step explanation:

<u><em>*For 2 being an exponent*</em></u>

It says we want to know the time it will take to reach the ground. This means that the height will be 0 at this time.

So we can set h(t) = 0 and solve for t.

0 = 144 - 16t^2

Subtract 144: -144 = -16t^2

Divide -16: 9 = t^2

Now square root: 3 = t

So it will take 3 seconds to reach the ground.

<em><u /></em>

<em><u>*For 2 being multiplied to t*</u></em>

It says we want to know the time it will take to reach the ground. This means that the height will be 0 at this time.

So we can set h(t) = 0 and solve for t.

0 = 144 - 16t2

We can simplify by multiplying the -16 and 2: 0 = 144 - 32t

Subtract 144: -144 = -32t\\

Divide by -32: 4.5 = t

So it will take 4.5 seconds to reach the ground.

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Read 2 more answers
Help pls need work shown
ZanzabumX [31]

Answer:

1.) P = 8g + 50

2.) Find the attached file for the graph.

Step-by-step explanation:

Let the profit = P

And g = good sold.

Given that each yo-yo sells for $8.00

The rate or the slope of the equation will be 8

Also, it is given that they must pay a clerk $50.00 a day to sell them. A flat rate of 50 dollars is an intercept of the equation.

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Y = mX + C

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5 0
3 years ago
3[-x + (2 x + 1)] = x - 1<br><br><br> what is x
Nataly_w [17]

The answer you are looking for is x=-2.

Solution/Explanation:

Writing out the equation

3[-x+(2x+1)]=x-1

Simplifying inside of the brackets first

Combining like terms, since -x+2x=x

3(x+1)=x-1

*You can remove the parenthesis, if preferred.

Using the Distributive Property on the left side of the equation

3x+3=x-1

Now, subtracting the "x" variable from both sides

3x+3-x=x-x-1

"x-x" cancels out to 0.

3x+3-x=-1

Combining like terms and simplifying

3x-x+3=-1

2x+3=-1

Subtracting 3 from both sides of the equation

2x+3-3=-1-3

"3-3" cancels out to zero.

2x+0=-1-3

2x=-1-3

Simplifying the right side of the equation

2x=-4

Finally, dividing both sides by 2

2x/2=-4/2

Simplifying the final part of the problem

Since 2x/2=x and -4/2=-2

x=-2

So, therefore, the final answer is x=-2.

Hope that this has helped you. Good day to you.

4 0
2 years ago
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