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3 years ago

A = LW L = 50 W = 15 Give your answer in simplest form. Enter

Mathematics

1 answer:

baherus [9]3 years ago

3 0

Answer:

A = 750

Step-by-step explanation:

Start with what we know:

A = LW

L = 50

W = 15

Then we fill in the values we know into the equation to get our answer.

A = L, or 50, times W, or 15.

Our new equation is A = 50 × 15

And we solve to find our answer

A = 50 × 15 or A = 750

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The height (feet) of an object moving vertically is given by s= (-16t^2)+(208t)+(156), where t is in seconds.

OverLord2011 [107]

Answer:

The object's velocity at t = 7 is -16 ft/s

The maximum height is 832 ft and it occurs when $t=\frac{13}{2}$

Step-by-step explanation:

From the information given, the equation of motion of the object is

$s(t)= -16t^2+208t+156$

For any equation of motion s(t), the instantaneous velocity at time t is given by

$v(t)=\frac{ds}{dt}$

(a) To find the object's velocity at t = 7, you must:

$v(t)=\frac{d}{dt}(-16t^2+208t+156)\\\\v(t)=-\frac{d}{dt}\left(16t^2\right)+\frac{d}{dt}\left(208t\right)+\frac{d}{dt}\left(156\right)\\\\v(t)=-32t+208+0\\\\v(t)=-32t+208$

Next, we evaluate when t = 7

$v(7)=-32(7)+208=-224+208\\\\v(7)=-16$

The object's velocity at t = 7 is -16 ft/s

(b) To find the maximum of a function we always use the derivative of the function and we set it equal zero to find the critical points.

To find the maximum height and when it occurs, we set the velocity function equal to 0 and solve for t.

$-32t+208=0\\\\-32t+208-208=0-208\\\\-32t=-208\\\\\frac{-32t}{-32}=\frac{-208}{-32}\\\\t=\frac{13}{2}$

Next, we substitute this value into the equation of motion to find the maximum height

$s(\frac{13}{2})= -16(\frac{13}{2})^2+208(\frac{13}{2})+156\\\\s(\frac{13}{2})=-676+1352+156)=832$

The maximum height is 832 ft and it occurs when $t=\frac{13}{2}$

6 0

4 years ago

Lauren pays $19.99 for a membership fee to an online music store. Lauren buys songs from a new album at the price of $0.99 each.

sdas [7]

The right answer is Option B.

Step-by-step explanation:

Let,

Number of songs = x

Price of 1 song = $0.99

Membership fee = $19.99

Total amount paid = $21.97

According to given statement;

0.99x+19.99=21.97

Subtracting 19.99 from both sides

$0.99x+19.99-19.99=21.97-19.99\\0.99x=1.98$

Dividing both sides by 0.99

$\frac{0.99x}{0.99}=\frac{1.98}{0.99}\\x=2$

Lauren bought 2 songs.

The right answer is Option B.

Keywords: Linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

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4 years ago

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Bar over decimal means repeating

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polet [3.4K]

I think the answer is C

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Montano1993 [528]

Answer:

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