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11111nata11111 [884]
3 years ago
15

2. Find the exact area of a circle with a diameter of 5 yards. Use 3.14 for T. (1 point)

Mathematics
1 answer:
NemiM [27]3 years ago
6 0

Answer:

Step-by-step explanation:

radius r = diameter/2 = 2.5 yards

area = πr² = 6.25π square yards ≅ 19.625 square yards

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Suppose a population of honey bees in Ephraim, UT has an initial population of 2300 and 12 years later the population reaches 13
Rama09 [41]

Answer:

common ratio: 1.155

rate of growth: 15.5 %

Step-by-step explanation:

The model for exponential growth of population P looks like: P(t)=P_i(1+r)^t

where P(t) is the population at time "t",

P_i is the initial (starting) population

(1+r) is the common ratio,

and r is the rate of growth

Therefore, in our case we can replace specific values in this expression (including population after 12 years, and  initial population), and solve for the unknown common ratio and its related rate of growth:

P(t)=P_i(1+r)^t\\13000=2300*(1+r)^{12}\\\frac{13000}{2300} = (1+r)^12\\\frac{130}{23} = (1+r)^{12}\\1+r=\sqrt[12]{\frac{130}{23} } =1.155273\\

This (1+r) is the common ratio, that we are asked to round to the nearest thousandth, so we use: 1.155

We are also asked to find the rate of increase (r), and to express it in percent form. Therefore we use the last equation shown above to solve for "r" and express tin percent form:

1+r=1.155273\\r=1.155273-1=0.155273

So, this number in percent form (and rounded to the nearest tenth as requested) is: 15.5 %

6 0
2 years ago
3/4•3/4???? I can’t do it in my head and I don’t know how to make a decimal into a fraction
Monica [59]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
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storchak [24]

Answer:

3. BDE is congruent to BAC; corresponding angles postulate

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Step-by-step explanation:

I took the test.

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4 0
2 years ago
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Answer:

The line of best fit would be the line in between all the points in the scatter plot that is the closest to having an equal amount of dots on each side.

If there isn't one with the exact number, pick the one that is the <em>very closest</em>.

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3 years ago
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