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2 years ago

ماThe circumference of a circle is 7pie m. What is the area of the circle?

Mathematics

1 answer:

Tresset [83]2 years ago

7 0

Answer:

12.25 $\pi$ sq m

Step-by-step explanation:

if circumference is 7 $\pi$ then the diameter is 7

Area = $\pi$ r²

A = (3.5)² $\pi$

A = 12.25 $\pi$

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Find the linear trend forecast for period 8 given the following data: Period Sales 1 19 2

Sphinxa [80]

Answer:

The equation of trend line is $y = 0.500000x + 16.857143$ .

The linear trend forecast for period 8 is about 20.86.

Step-by-step explanation:

The given data table is

Period Sales

1 19

2 18

3 15

4 20

5 18

6 22

7 20

We need to find the linear trend forecast for period 8.

The general form of linear regression is

$y=a+bx$ .... (1)

where, a is y-intercept and b is slope.

$b=\frac{\sum_{i=1}^nx_iy_i-n\overline{x}\overline{y}}{\sum_{i=1}^nx_i^2-n\overline{x}^2}$

$a=\overline{y}-b\overline{x}$

Using the graphing calculator we get

$a=16.857143$

$b=0.500000$

Substitute these values in equation (1).

$y = 0.500000x + 16.857143$

The equation of trend line is $y = 0.500000x + 16.857143$ .

Substitute x=8 to find the linear trend forecast for period 8.

$y = 0.500000(8) + 16.857143$

$y =20.857143$

$y \approx 20.86$

Therefore the linear trend forecast for period 8 is about 20.86.

4 0

3 years ago

Alana’s baby brother weighed 137 oz when he was born. What is his weight in pounds<br> and ounces?

OverLord2011 [107]

8 pounds and 562 oz

4 0

3 years ago

The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.

Oksana_A [137]

Answer:

Step-by-step explanation:

The given table is

Days Bees

0 10,000

10 7,500

20 5,600

30 4,200

40 3,200

50 2,400

Where $x$ represents days and $y$ represents bees.

The exponential function that models this problem must be like

$y=a(1-r)^{x}$ , which represenst an exponential decary, because in this case, the number of bees decays.

We nned to use one points, to find the rate of decay. We know that $a=10,000$ , because it starts with 10,000 bees.

Let's use the points (10, 7500)

$y=a(1-r)^{x}\\7500=10000(1-r)^{10}$

Solving for $r$ , we have

$\frac{7500}{10000}=(1-r)^{10} \\(1-r)^{10} =0.75$

Using logarithms, we have

$ln((1-r)^{10}) =ln(0.75)\\10 \times ln(1-r)=ln(0.75)\\ln(1-r)=\frac{ln(0.75)}{10} \approx -0.03\\e^{ln(1-r)}=e^{-0.03}\\1-r =e^{-0.03}\\r=-e^{-0.03}+1 \approx 1.97$

Replacing all values in the model, we have

$y=10000(1-1.97)^{x}\\y=10000(0.97)^{x}$

Therefore, the right answer is the first choice, that's the best approximation to this situation.

6 0

3 years ago

Read 2 more answers

On a town map, each unit of the coordinate plane represents 1 mile. Three branches of a bank are located at A(−3, 1), B(1, 4), a

hram777 [196]

I think it’s a .............

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3 years ago

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The product of a rational and irrational number is rational. always sometimes never

V125BC [204]

Answer:

"The product of a rational number and an irrational number is SOMETIMES irrational." If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational.

Step-by-step explanation:

PLZ MARK BRAINLIEST

3 0

3 years ago