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Dimas [21]
3 years ago
5

You are riding a roller coaster when a shoe falls off your foot. The function y=200−16t^2 represents the height y (in feet) of t

he shoe t seconds after it falls off your foot. The shoe lands on the top of a 31-foot-tall building. After how many seconds does the shoe hit the building?

Mathematics
1 answer:
pickupchik [31]3 years ago
6 0
A graphing calculator shows it takes 3.25 seconds for the shoe to hit the building.

_____
200 -16t^2 = 31
169 = 16t^2
√(169/16) = t
t = 13/4 = 3 1/4

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618 runners registered for the marathon. Of these runners 0.8% completed the race in under 2 hr 15 min. a) how many runners comp
umka21 [38]

Answer:

Exact = 4.944 Rounded = about 5 Reality = 4 since there can’t be 99.4% of an human.

Step-by-step explanation:

0.8/100 = x/618

618(0.8) = 100x

494.4 = 100x

/100. /100

x = 4.944

7 0
3 years ago
*MAKE SURE YOU ANSWER CORRECTLY WITH DETAILS, WILL CHOOSE BRAINLIEST * Describe a hemisphere of this picture and explain how it
SVEN [57.7K]

Answer:

Volume of the hemisphere = \frac{2}{3}\pi r^{3}

Step-by-step explanation:

It's a picture of a globe and a globe of the Earth is in the shape of a sphere.

We know equator divides the earth into two equal halves and these equal halves are called as "hemisphere".

Therefore, a line joining the two extreme points of the diameter of the Earth divides the Earth into two hemispheres.

If the radius of the Earth is 'r',

Volume of the hemisphere = \frac{2}{3}\pi r^{3}

6 0
3 years ago
Emily thinks the perfect tomato sauce has 888 cloves of garlic in every 500 mL . Raphael's tomato sauce has 12 cloves of garlic
Finger [1]

Answer:

Step-by-step explanation:

Choice A will be true, that is, Emily would fine the sauce too garlicky.

3 0
3 years ago
What is the rate of interest on a loan of $2,000, for 284 days, if the amount of interest is $93.37, using the exact interest me
Viefleur [7K]

Answer: Option (c) is correct. Rate of interest = 6% p.a.

Step-by-step explanation:

Given that,

principal amount = $2000(loan)

time period =  284 days

interest amount (SI) = $93.37

we have to calculate the rate of interest (i),

Simple interest(SI) = principal amount × rate of interest (i) × time period

93.37 = 2000 × i × \frac{284}{365}

i = \frac{34080.05}{568000}

i = 0.06

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3 0
3 years ago
Solve the following inequality.
Anika [276]

Solving the inequality given algebraically, the solution of the inequality for the value of m is:

<u>m < -4 OR m > 3</u>

<em><u>Given the following </u></em><em><u>inequality</u></em><em><u>,</u></em>

<em><u /></em>\frac{m - 2}{3} < -2 \\

or

4m + 3 > 15

Let's solve algebraically for the value of m in both inequality statements given.

\frac{m - 2}{3} < -2 \\

  • Multiply both sides by 3

\frac{m - 2}{3} \times 3 < -2 \times 3\\\\m - 2 < -6

  • Add 2 to both sides

m - 2 + 2 < -6 + 2\\\\m < -4

Or

4m + 3 > 15

  • Subtract 3 from each side

4m + 3 - 3 > 15 - 3

4m > 12

  • Divide both sides by 4

\frac{4m}{4}  > \frac{12}{4} \\\\

m > 3

Therefore, solving the inequality given algebraically, the solution of the inequality for the value of m is:

<u>m < -4 OR m > 3</u>

<u></u>

<u></u>

Learn more here:

brainly.com/question/24434501

8 0
2 years ago
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