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olga nikolaevna [1]
3 years ago
10

This is a word problem: You are riding a ski lift at a position 57 feet off the ground. You spot one of your friends skiing belo

w. To get his attention you chuck a snowball at him. How long will it take to hit your friend's head who is 42 feet below? Your friend is 5 1/2 feet tall.
Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
6 0

Answer:6 minutes

Step-by-step explanation:

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A bacteria colony increases in size at a rate of 4.0581e1.6t bacteria per hour. If the initial population is 36 bacteria, find t
Harrizon [31]

Answer:

1560

Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

\frac{dP}{dt} =4.058e^{1.6t}

dP =4.058e^{1.6t}}dt\\Taking\: Integrals\\\int dP =4.058 \int e^{1.6t}dt\\P(t)=\frac{4.058}{1.6} (e^{1.6t} +K)\\P(t)=2.53625 (e^{1.6t} +K)

Where k is a constant of Integration.

At t=0, P(t)=36

36=2.53625 (e^{1.6*0} +K)\\36=2.53625 (e^{0} +K)\\36=2.53625 (1 +K)\\36=2.53625 +2.53625K\\K=13.19

Therefore:

P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560

3 0
3 years ago
PLS HELP!! RIGHT ANSWER GETS BRAINLIEST!! pls only answer if u know the answer 100% this is a test!
katrin2010 [14]

Answer:

It’s -2 and 0 AND also 2 and 4

Step-by-step explanation:

Good luck!

5 0
3 years ago
Carey is trying to decide between two guitars. The first had an original price of $160, but is on sale for $100. The second had
Zolol [24]

Subtract the sale price from the original price then divide the difference by the original price.

Guitar 1: 160 -100 = 60

60/160 = 0.375 x 100 = 37.5%

Guitar 2: 250 - 150 = 100

100/250 = 0.4 x 100 = 40%

The answer is the second guitar has a greater percent change of approximately 40%

3 0
3 years ago
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Please help me with this question, thank you and explain!!!
Novosadov [1.4K]

Total distance from w to z is -10 to 6 = 16

Add the ratios: 2 + 3 + 3 = 8

Divide distance by total ratio: 16/8 = 2

Multiply each ratio by 2 : 2x 2 = 4, 3 x 2 = 6, 3 x 2 = 6

WX is 4 units apart, add 4 to -10 to get x = -6

Answer: A. -6

5 0
2 years ago
Please helpppppp tysm Have a wonderful day.
pav-90 [236]

Answer:

418.4

Step-by-step explanation:

5 0
2 years ago
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