twelve more than the quotient of forty and eight

The exponential regression that shows the relationship between the number of subcribers in millions (y) since 1990 is y = 4.9(1.37)ˣ

Let y represent the amount of subscribers in millions, x years since 1990.

From the table; at point (0, 4.9):

y= abˣ

4.9 = ab⁰

a = 4.9

At point (10, 118.1)

118.1 = 4.9(b)¹⁰

b = 1.37

The exponential regression that shows the relationship between the number of subcribers in millions (y) since 1990 is y = 4.9(1.37)ˣ

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Answer: 4?

Step-by-step explanation: im prob wrong

Answer:

3.5

Step-by-step explanation:

Step-by-step explanation:

For 1st Circle, A1= 36π

For 2nd Circle, A2= 81π/4

A1-A2 = 63π/4

π = 22/7

=49.5unit²

The differences in the areas of circles in square centimeters is 49.455

[tex]A = \pi r^{2}[/tex]

Where,

A is the area of circle

r is the radius of circle

and π = 3.14

Radius of circle is the distance from the center of the circle to any point on it's circumference. It is calculated as :

[tex]Radius = \frac{diameter}{2}[/tex]

According to the given question

Diameter of one circle is 12cm and diameter of another circle 9cm.

Area of circle with diameter 12 cm = [tex]\pi (\frac{12}{2} )^{2}[/tex] = [tex](3.14)(6)^{2}[/tex] = 113.04 square cm

Area of circle with diameter 9 cm = [tex]\pi( \frac{9}{2} )^{2} =(3.14)(4.5)^{2} = 63.585[/tex] square cm

Therefore,

The difference between the areas of two circles = (113.04 -63.585) square centimeter = 49.455 square centimeter.

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Answer:

X = 10.4

Step-by-step explanation:

Since the angle is a 90 degress angle we can assume that

39 + (5x-1) = 90 degrees.

Therefore we can subtract 39 from both sides which will give us

5x-1=51

Add 1 to both sides

5x = 52

Divide both sides by 5

x=52/5

The answer is

X = 10.4

Hope this helps! :)

Answer:

Question 1: 59

Step-by-step explanation:

Question 1: 11.80*5=59

Answer:

Destin

Step-by-step explanation:

Only one that passes 85

Amy is considering visiting her new friend at one of his beach houses she chooses to visit  Destin and 85.

Amy is considering visiting her new friend at one of his beach houses in Florida.

She really loves the warm weather,

So she would like to choose to go somewhere with a high median temperature, and a small interquartile range.

We have to determine the place should she choose to visit.

The interquartile range is a measure of where the middle fifty is in a data set.

Destin HI 70 75 80 85.

Here She can choose the 4th position and which is 85.

The only one that passes 85.

Amy is considering visiting her new friend at one of his beach houses she chooses to visit  Destin and 85.

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Answer:

It's A!

Step-by-step explanation:

A good strategy to pay down the principal of the student loan is making payments in monthly instalments, the correct option is A.

A student loan is the amount borrowed by a student from a bank or any other financial institution for studies.

The borrowed amount is large and it becomes a burden if decided to pay all at once after studies on getting a job, a monthly payment of instalments is the right strategy.

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4. sector angle = 120°

area of sector = 120/360* π*r^2

= 1/3 π *36 = 12π = 37.69 cm^2

area of isosceles ∆ = .5*36*sin 120 = 15.58cm^2

area of shaded portion = 37.69 - 15.58= 22.11 cm^2

5. sector area = 90/360 * π * 64 = 16π ft^2

area of right ∆ = 1/2*64= 32ft^2

shaded portion area = 16π-32 = 18.26ft^2

6. sector area = 60/360 π 36 = 6π m^2

triangle area = √3/4 * 36 = 9√3 m^2

shaded area = 18.84 - 9√3 = 3.26 m^2

7. sector area = 45/360*π*18^2 = 40.5 π yd^2

8. sector area = 90/360*π*16 = 64π cm^2

9. sector area = 60/360 * π * 169 = 28.16π m^2

10. sector area = 135/360*π*64 = 24π cm^2

1. circle area = π*5.5^2 = 30.25π cm^2

2. circle area = π*0.85*.85 = .7225π ft^2

3. circle area = π * 1/9 in^2

Answer:

The exponential function, exp : R → (0,∞), is the inverse of the natural logarithm, that is, exp(x) = y ⇔ x = ln(y). Remark: Since ln(1) = 0, then exp(0) = 1. Since ln(e) = 1, then exp(1) = e.

Step-by-step explanation:The exponential function, exp : R → (0,∞), is the inverse of the natural logarithm, that is, exp(x) = y ⇔ x = ln(y). Remark: Since ln(1) = 0, then exp(0) = 1. Since ln(e) = 1, then exp(1) = e.

Answer:

b and d i think hope this helps

Step-by-step explanation:

Answer:

(1,5) (7,13) (10,17) (7,13)

Step-by-step explanation:

1 4  7  10  13

5 9 13 17 21

The function Q is a linear function  because the function Q has a constant rate

The functions are given as:

A linear function is represented as:

y = mx + b

Where m represents the slope, and b represents the y-intercept

By comparing y = mx + b to the functions, we can see that the function Q is a linear function.

This is so because the function Q has a constant rate, while the function P does not have a constant rate

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QUESTION 1

[tex]cos\ \theta = \frac{12}{13}\\\theta = cos^{-1}\frac{12}{13} = 22.62\textdegree = 0.3948\ (\text{radians})[/tex]

QUESTION 2

[tex]\frac{3\pi}{2} < \theta < 2\pi\ \text{then find}\ sin(2\theta)[/tex]

First, the fact that we have [tex]sin(2\theta)[/tex] means we have to adjust our range

[tex]\frac{3\pi}{2} < \theta < 2\pi\ \ \text{becomes}\ \ 3\pi < 2\theta < 4\pi\[/tex]

[tex]sin\ 2\theta = \frac{3\pi}{2}\\2\theta = sin^{-1} \frac{3\pi}{2}\\2\theta = \text{error}[/tex]

There are no solutions to inverse sin of  [tex]\frac{3\pi}{2}\\[/tex]

Answer:

20 ml

Step-by-step explanation:

100 mg / ( 5mg /ml)  = 20 ml

[tex] m \angle B = 22 \degree[/tex]

Explanation:

Given:

[tex]\sf m \angle A = 120 \\ \sf m\angle B =x \\\sf m \angle C = x+16[/tex]

To find:

[tex]\sf m\angle B \: = ?[/tex]

Solution:

We know that,

sum of all the interior angle of triangle equals 180 degrees.

[tex]\sf m \angle A + m\angle B + m \angle C = 180 \degree \\ \sf 120 + x + x + 16 = 180 \degree \\ \: \sf 2x+136= 180\degree \\ \: \sf 2x=180-136 \\ \:\sf 2x=44 \degree \\ \sf \: x= \frac{44}{2} \\ \:\sf x= 22 \degree[/tex]

Measure of angle B is equal to x hence,

[tex] m \angle B = 22 \degree[/tex]

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Answer:

[tex] \cos( \alpha ) = \frac{7}{25} \\ \alpha = (73.73979529169) \\ \ \sin(73.73979529169) = \frac{h}{25} \\ h = \sin(73.73979529169) \times 25 \\ h = 24[/tex]

Answer:

12-2 is 10

Step-by-step explanation:

[tex]\dfrac{3}{\sqrt 7- \sqrt 2}\\\\\\=\dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}{\left(\sqrt 7- \sqrt 2 \right)\left( \sqrt 7+\sqrt 2\right)}\\\\\\=\dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}{\left(\sqrt 7 \right)^2 - \left(\sqrt 2 \right)^2 }\\\\\\= \dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}{7-2}\\\\\\=\dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}5[/tex]

20 × 4 = 80chapters

hope it helps...!!!

Your answer is (3,6)

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(3,6)

Your Answer:

Your answer is (3,6)

Answer:

7

Step-by-step explanation:

We have 42 oranges. we want to split the oranges evenly to 6 people. 42 divided by 6 people equals 7 oranges a person.

42÷6

=7

so each person will have 7 oranges.

Step-by-step explanation:

2nd one

we need 3 2/5 that is 3+ 2/5

-7 1/5 = -7-1/5

so 2nd one

Answer:

Step-by-step explanation:

Givens

Circle:      3 grams       Number:  1  right hand side Number LHS: 2

Square:   2 grams        Number:  2 Number LHS: 5

Triangle: x                    Number:  5  Number LHS: 2

Formula

Mass RHS   = Mass LHS

Solution

3*1 + 2*2 + 5x = 3*2 + 5*2 + 2*x        Combine

3 + 2 + 5x = 6 + 10 + 2x

5 + 5x = 16 + 2x                                 Subtract 5 from both sides

5-5+5x = 16-5 + 2x                            Combine

5x = 11 + 2x                                       Subtract 2x from both sides

3x = 11                                               Divide by 3

x = 11/3

As you can see, I'm not getting any of the answers that you have provided. Ask your teacher how it was done. (The method used is correct).

The number of years it will take the balance to reach $5,518.73 with annual compounding is  9.87 years.

When an account earns annual compounding, it means that both the interest accrued and the amount deposited increases in value once a year.

The formula that can be used to determine the number of years is:

Number of years =  (In FV / PV) / r

(in 5518.73/4228) / 0.027 = 9.87 years

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Answer:

8

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

[tex]\displaystyle 5,9708213214...\:in.[/tex]

Step-by-step explanation:

[tex]\displaystyle {\pi}r^2 = A \\ \\ \frac{{\pi}r^2}{\pi} = \frac{112}{\pi} \hookrightarrow \sqrt{35,650707253...} = \sqrt{r^2} \\ \\ \boxed{5,9708213214... = r}[/tex]

I am joyous to assist you at any time.

Answer:

in third quadrant... i thinkso

Answer:

12 acres

Step-by-step explanation:

30+45+5 = 80 so theres 20% left.

20% of 60 is 12