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hoa [83]
3 years ago
9

On top of a hill, a rocket is launched from a distance 80 feet above a lake. The rocket will fall into the lake after its engine

burns out. The rocket's height, h, in feet above the surface of the lake, is given by the equation, h = -16t 2 + 64t + 80, where t is time in seconds. The maximum height of the rocket is 144 a0 feet.
Mathematics
1 answer:
lisov135 [29]3 years ago
5 0
For this case we have the following equation:
 h = -16t2 + 64t + 80
 To find the maximum height, we derive the equation:
 h = -32t + 64
 We match zero:
 -32t + 64 = 0
 We clear t:
 t = 64/32
 t = 2
 We substitute the value of t in the given equation:
 h (2) = -16 * (2) ^ 2 + 64 * (2) + 80
 h (2) = 144
 Answer:
 
The maximum height is 144 feet and the time to reach this height is 2 seconds.
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What is the rate of change for a linear function that passes through the points (8, -10) and (-6, 14)
Anna71 [15]

Answer: m=-1.714

Step-by-step explanation:

By definition, the slope of the line is described as "Rate of change".

You need to use the following formula to calcualte the slope of the line;

m=\frac{y_2-y_1}{x_2-x_1}

In this case you know that the line passes through these two points: (8, -10) and (-6, 14).

Then, you can say that:

y_2=-10\\y_1=14\\\\x_2=8\\x_1=-6

Knowing these values, you can substitute them into the formula for calculate the slope of a line:

 m=\frac{-10-14}{8-(-6)}

Finally, you must evaluate in order to find the slope of this line. You get that this is:

m=\frac{-24}{8+6}\\\\m=\frac{-24}{14}\\\\m=-\frac{12}{7}\\\\m=-1.714

8 0
3 years ago
Write an equation for the proportional relationship. Can you compare these two tables?
Viktor [21]

Answer:

Y=1.88x

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(2, 3.76) (3, 5.64)

m(slope) =5.64-3.76/3-2

m=1.88

y-3.76=1.88(x-2)

y-3.76=1.88x-3.76

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3 years ago
Standard form of two hundred ten million, sixty four thousand,fifty
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We have to write the standard form of : two hundred ten million, sixty four thousand , fifty.
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Reading Readiness, Inc. has provided you its list of accounts and balances as of January 31. The Controller has asked you to pre
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The preparation of Reading Readiness, Inc.'s multi-step Income Statement for the month ended January 31 is as follows:

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Sales Revenue              $175,500

Less:

Sales Returns                      4,700

Sales Discounts                  6,000

Net Sales                     $164,800

Cost of Goods Sold         67,700

Gross profit                    $97,100

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Depreciation Expense    13,800

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Data and Calculation:

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Thus, the net income after deducting the income tax expense is $24,100.

Learn more: brainly.com/question/24257787

4 0
3 years ago
PLSSS HELP!! I'LL GIVE BRAINLIEST IF RIGHT Which is the equation of a parabola with a directrix at y = 2 and a focus at (5, 0).
goldfiish [28.3K]

Answer:

First, we need to set up a (y−k)^2=4p(x−h). After plugging in all of your values, you would get (x-5)^2=-4(y-1). Now, we need to solve in terms of y by dividing each side by the factors that don't contain the variable

Step-by-step explanation:

3 0
3 years ago
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