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Zinaida [17]
3 years ago
5

A race car travels 100 feet in .5 seconds. At this rate of speed, how many feeet will the race car travel in a minute?

Mathematics
2 answers:
snow_tiger [21]3 years ago
7 0

\text{Hello there!}\\\\\text{We know that a car travels 100 ft every .5 seconds}\\\\\text{Lets find how far it goes every second}\\\\100*2=200\,\text{ft per second}\\\\\text{We're trying to find how far it goes in a minute, so multiply by 60}\\\text{Since 60 seconds = 1 minute}\\200*60=12000\\\\\boxed{12,000 ft}

soldier1979 [14.2K]3 years ago
5 0

Answer:

Step-by-step explanation:

\frac{100ft}{0.5s} * 60s

\frac{100 * 60}{0.5}

\frac{6000}{0.5}

12000ft

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find the circular cylinder of largest lateral area which can be inscribed in a sphere of radius R=4 feet
choli [55]
Let say radius is r 
<span>its height is h </span>
<span>its lateral area = y </span>
<span>y = 2 pi r h </span>
<span>since the cylinder is inscribed in the sphere </span>
<span>So (2r )^2 + h^2 = 64 </span>
<span>then 4 (r^2) = 64 - h^2 </span>
<span>since y^2 = 4 (pi)^2 r^2 h^2 </span>
<span>then y^2 = (pi)^2 *h^2 * (64 -h^2) </span>
<span>y^2 = 64 (pi)^2 * h^2 - (pi)^2 * h^4 </span>
<span>2 y y' = 128 (pi)^2 * h - 4 (pi)^2 * h^3 </span>
<span>putting y' = 0 </span>
<span>4 (pi)^2 h ( 32 - h^2)=0 </span>
<span>ether h = 0 testing this value (changing of the sign of y' before and after ) y is minimum </span>
<span>or h = 4 sqrt(2) </span>
<span>testing this value (changing of the sign of y' before and after ) y is maximum </span>
<span>So the maximum value of y^2 = (pi)^2 *32 *( 64 - 32) </span>
<span>y^2 = (pi)^2 * (32)^2 </span>
<span>y = 32 (pi) square feet

hope this helps</span>
6 0
4 years ago
Evulate a^2 - b^2 if a=4 and b= -2
Helen [10]

Answer:

20

Step-by-step explanation:

4^2 = 16

-2^2 =-4

16 -(-4) =20

8 0
4 years ago
You are the manager of a donut shop. Presently, you sell your donuts for $1.00 each and everyday you sell 500 donuts. However, y
never [62]

Answer:<u> </u><u>$1.75</u>

Solve for:

What price would result in the most revenue?

Step-by-step explanation:

Let the price of one donut = 1 + 0.05x

Let the # of donuts he can sell = 500 - 10x

Revenue,

R(x) = (1 + 0.05x)(500 - 10x)

R(x) = 500 - 10x + 25x - 0.5x^2

R(x) = -10 + 25-0.5(2x)

= 15-x\\x=15

Revenue is maxed when x = 15

When the revenue is maxed,

Price = 1 + 0.05(15)\\=1 + 0.75\\=1.75

Therefore the best price for this scenario is $1.75

3 0
2 years ago
What is the volume of this right triangular pyramid?
saul85 [17]

Answer:

The answer is 2736 cm³

8 0
3 years ago
(2y + 14.6m + 3.8) – (34.8m + 15.6 + 2y) simplified
Scorpion4ik [409]
20.2m-11.8
Incase your wondering what happened to the y it got canceled out because they were equal on both sides.
3 0
3 years ago
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