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Sonbull [250]
2 years ago
7

what is the diameter of a circle with a circumference of 84.78 inches?use 3.14 for pi,show your work please

Mathematics
1 answer:
makkiz [27]2 years ago
4 0

Answer:

27 inches

Step-by-step explanation:

the formula for the circumference is 2 × pi × r

so: 2 × pi × r = 84.78

so 84.78/2pi = r

r = 13.5

we want the diameter which is 2 x r

so the diameter is 27

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Step-by-step explanation:

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3 years ago
An exponential function is given by the equation y=3x. Using the points xx and x+1x+1, show that the y-values increase by a fact
Kobotan [32]

Answer:

Here we have the function:

y = f(x) = 3^x

Using the values:

x and (x + 1)

We need to find that the y-value increases by a factor of 3.

So we need to prove that:

f(x + 1) = 3*f(x).

Or we can see the quotient:

f(x + 1)/f(x) = 3

Here we can find the values:

f(x + 1) = y = 3^(x + 1)

f(x) = y' = 3^x

If we take the quotient, we get:

\frac{f(x + 1)}{f(x)}  = \frac{3^{x + 1}}{3^x}

Here we can use the properties:

a^n*a^m = a^{n + m}

\frac{a^n}{a^m}  = a^{n - m}

Using these in the quotient equation we get:

\frac{f(x + 1)}{f(x)}  = \frac{3^{x + 1}}{3^x} = \frac{3^x*3^1}{3^x} = \frac{3^x}{3^x}*3 = 1*3 = 3

Then:

\frac{f(x + 1)}{f(x)} = 3

f(x + 1) = 3*f(x)

So we found that the y-value increases by a factor of 3 between any two points x₂ and x₁ such that: x₂ - x₁ = 1.

3 0
3 years ago
11+3(9-6)-4=<br> Please do it step by step.
tester [92]
11+3=14*(9-6=3)-4=38
3 0
3 years ago
Read 2 more answers
you have 3 red seashells 5 blue seashells and 2 yellow sea shells what is the probability of picking a red seashell then without
alina1380 [7]

Probability of any event = ( favourable outcomes ) /total number of outcomes

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7 0
3 years ago
A nest if ants initially contains 500 individuals. The population is increasing by 12% each week. How many ants will there be af
allochka39001 [22]
Based on the given values above, here is the solution to find if how many ants there will be after 10 weeks and 20 weeks.
Since the population increases by 12%. we need to get 12% of the population every week.
500 x .12 = 60.
1st week = 560
2nd week = 627.2
3rd week = 702. 46
4th week = 786.76
5th week = 881. 17
6th week = 986.91
7th week= 1,105.34
8th week= 1,237.98
9th week= 1, 386.54
10th week = 1, 552.92
11th week = 1,739.27
12th week = 1,947.98
13th week= 2,181.74
14th week=2, 443.55
15th week = 2,736.76
16th week = 3, 065. 17
17th week = 3,432.99
18th week= 3,844.95
19th week= 4,306.34
20th week = 4,823.10
Therefore, after 10 weeks, there will be 1,553 ants and after 20 weeks, there will be 4,823 ants.
8 0
3 years ago
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