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tangare [24]
3 years ago
13

Grace has a 15 inch diameter bicycle tire. How many revolutions will it make traveling 500 feet?

Mathematics
1 answer:
Brums [2.3K]3 years ago
5 0

Answer:

Revolution = 127.24 revolutions

Step-by-step explanation:

<em><u>Circumference of the tire = πD</u></em>

Where D = 15 inch

So,

C = 15π = 47.1 inch

<u><em>In feets:</em></u>

47.1 inch = 3.93 feet.

So, <u>one revolution = 3.93 feet</u>

<u><em>Travelling 500 feet will make the following revolutions:</em></u>

Revolution = 500 feet/3.93 feet

Revolution = 127.24 revolutions

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n many population growth problems, there is an upper limit beyond which the population cannot grow. Many scientists agree that t
givi [52]

Answer:

\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})

Step-by-step explanation:

The logistic function of population growth, that is, the solution of the differential equation is as follows:

P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}

We use this equation to find the value of r.

In this problem, we have that:

K = 16, P_{0} = 2, P(50) = 4

So we find the value of r.

P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}

4 = \frac{16*2e^{50r}}{16 + 2*(e^{50r} - 1)}

4 = \frac{32e^{50r}}{14 + 2e^{50r}}

56 + 8e^{50r} = 32e^{50r}}

24e^{50r} = 56

e^{50r} = 2.33

Applying ln to both sides of the equality

50r = 0.8459

r = 0.017

So

The differential equation is

\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})

3 0
3 years ago
Can someone help me please I don't understand
iVinArrow [24]
The formula for surface area are 2(LW+LH+WH). If the numbers were being placed in the formula, it will become 2[(9*7)+(9*12)+(12*7)]. 9*7 is 63, 9*12 is 108, 12*7 is 84 and the sum will be 255, and multiply by 2 is 510.
The answer is 510
7 0
3 years ago
Paula knits hats. The number of hats h she can knit varies directly with the amount of yarn (y) in yards she has. The constant o
Greeley [361]

Answer:

The equation showing the relationship between the number of yards of yarn Paula has and the number of hats she can knit is ;

h = 42y

Step-by-step explanation:

Here, we want to write an equation;

From the question, we are told that the number of hats h that can be knitted is directly proportional to the amount of yarn in yards

Since it is a proportional relationship;

h = k * y

where k is the constant of proportionality given as 42

Hence;

h = 42 * y

h = 42y

3 0
3 years ago
Pasty makes lemonade every morning. She uses 2 1/4 cup of sugar and 4 3/5 cups of lemon juice. How may cups of sugar and lemon j
Artyom0805 [142]
6 17/20 cups? Or 137/20 cups i guess
7 0
3 years ago
If the diagonal path is 750 feet long and the width of the park is 450 feet, what is the length, in feet, of the park?
jarptica [38.1K]

This problem can be looked at like a right triangle, where the hypotenuse is 750 and one leg is 450.  Thus 450^2 + the length of the park^2 = 750 ^2.

202500 + the length of the park^2 = 562500

the length of the park^2 = 360000

the length of the park = 600

Hope it helps <3

8 0
3 years ago
Read 2 more answers
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