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Agata [3.3K]
3 years ago
8

17. Ace Rent a Car charges a flat fee of $15 and $0.23 a mile for their cars. Acme Rent a Car

Mathematics
1 answer:
AlexFokin [52]3 years ago
6 0

Answer:

113 miles

Step-by-step explanation:

given the 2 equations that define the cost c for each company based on the number of miles, m driven

Ace: c = 15 + 0.23m

Acme : c = 24 + 0.15m

we want to find m when c is the same

hence we can equate both equations

15 + 0.23m  = 24 + 0.15m

0.23m - 0.15m = 24 - 15

0.08m = 9

m = 9/0.08

m = 112.5 ( ~=113 miles)

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kondor19780726 [428]

Answer:

C. 0.23°

Step-by-step explanation:

We are given

r=\frac{1}{32}v^{2}sin(2\theta)

Re-arranging this equation (multiply by 32 on both sides and divide by v^{2} on both sides gives us:

\frac{32r}{v^{2}}=sin(2\theta) or

sin(2\theta)=\frac{32r}{v^{2}}

Substituting for, r and v we get

sin(2\theta)=\frac{(32)5000}{4500^{2}}=0.00792\\\\\theta=sin^{-1}(0.0079)=0.4527\\\\\theta=\frac{{0.4527}}{2}=0.2263\approx0.23

5 0
2 years ago
What is the radius of a cylinder with 490picm^3 of volume and 10 cm of height
Sholpan [36]
V = pi*r^2*h
V = 490
h = 10
490 = pi*r^2*10
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7 0
3 years ago
There are 70,000 bacteria present in a culture. An antibiotic is introduced to the culture and the number of bacteria is reduced
Harlamova29_29 [7]

Answer:

24 hours after the antibiotic is introduced, the number of bacteria in the culture is reduced to 1093; The amount of bacteria present in the culture during the 24 hours after the antibiotic is introduced is an example of exponential decay; The function B(x) = 70000(0.5)ˣ, where x represents the number of 4 hour periods, represents the amount of bacteria present after the antibiotic is introduced.

Step-by-step explanation:

In any situation where an amount grows or declines by a set percent every time period can be represented using an exponential function.  Since the amount of bacteria is reduced by half, or 50%, every 4 hours, this is exponential decay.

Exponential functions such as this are of the form

y = a(1+r)ˣ, where a represents the initial population, r is the percent of growth or decrease, and x is the number of time periods.  In this situation, the initial population, a, is 70000.  Since the number of bacteria decreases by half, r = -0.50.  This gives us

y = 70000(1+-0.50)ˣ, or y = 70000(0.50)ˣ.

In 24 hours, there are 6 4-hour periods.  This means x = 6; this gives us

y = 70000(0.50)⁶ = 1093.75.

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1 year ago
What division problem can be represented using the number line?
seraphim [82]

Answer:

It's the first answer.

Step-by-step explanation:

4 0
2 years ago
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