A series consists of some numbers such that the summation of the divisors of any number of that series is 1 less than twice of that number. For example the divisors of 4 are 1,2 and 4 and the sum is 7. If the numbers of this sequence are arranged in ascending order then what is the 9th term?

Answer:

q < 5

Step-by-step explanation:

Answer: A or 3 sqrt 2

Step-by-step explanation:

Answer:

3 sqrt 2

Step-by-step explanation:

Answer:

r + 7

Step-by-step explanation:

Sum means addition, so in this particular expression something is being added, and the two numbers given are r and 7. Therefore, the expression is r + 7.

Answer:

The answer is C.

Step-by-step explanation:

To start off 250g is $1.85 and we want to get to 500g so if we add $1.85 with $1.85 we will get $3.70.  This amount is more than the number if we bought just 500g once than if we bought 250g twice, because if we did, we would be paying more.  But that's not all, if we add 500g with 500g we will get $6.20.  That's more than the original price for 1 kg and if we multiply 250g 4 times than we get 7.4.  So in all we would buy 1 kg.

Answer:

1 hour and 5 minutes

Step-by-step explanation:

Because Sam started cycling at 2:40 and he stopped cycling at 3:45 so cycled for 1 hour and 5 minutes its asking for total time cycling so its 1 hour and 5 minutes

Answer:

Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated

Step-by-step explanation:

Answer: The data values have a range of 70 centimeters. Intervals with a range of 10-20 centimeters should be reasonable.

Answer:

it might be

69

10-20

Answer:

28u-14v+7w

Step-by-step explanation:

Answer: 28u−14v+7w

Step-by-step explanation:

Hope that helps

Answer: Answer is B

Step-by-step explanation:

Remeber that the shorter a container is doesn't mean it has less mass or volume. the width can mean it holds more. If the radius is twice as big that can mean the contents is more and your getting a better deal.   hOpe this will help.

Answer:

the answer is b

Step-by-step explanation:

Answer:

B on edgen 2020

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

8 beech trees out of 40

8/40 = 1/5

Answer: m<B = 66.42

Step-by-step explanation:

Use cosine to find the missing angle.

Cosine = adjacent/hypotenuse

cos x = 2/5

since you know the side lengths and you’re finding the angle, use inverse cosine

cos -1 (2/5) = 66.4218215...

m<B = 66.42

Hey there!

We are looking for an angle. Whenever we want to look for an angle in a right triangle given two sides, we use inverse trigonometric functions. This is basically the inverse operation of the sine, cosine, and tangent. You could use it to undo any of these in an equation. If you said that the sine of x was equal to 1/2, you would do the inverse sine of 1/2 and get that x=30.

In our case, we see that the cosine of our angle is 2/5. How do we know that?

Well, we can remember the trigonometric functions using the mnemonic "soh cah toa"

SOH

Sine= Opposite/Hypotenuse

CAH

Cosine= Adjacent/Hypotenuse

TOA

Tangent= Opposite/Adjacent

If we look at the number values we have, we have 2 (the adjacent side to the angle) and 5 (the hypotenuse). This is adjacent over hypotenuse, which is the cosine. So, the cosine of our angle is 2/5.

Now, we can put this into an equation. I will call the measure of our mystery angle Θ (theta).

cosΘ= 2/5

We want to get the theta by itself to solve the equation. To do this, we have to use the inverse cosine on both sides of the equation to cancel out our cosine and figure out the value of theta. The inverse trig functions can be found on a calculator :)

cos[tex]^-1[/tex]cosΘ=cos[tex]^-1[/tex] 2/5

Θ ≈ 66.42

I hope that this helps! Now you will be able to find any angle given two sides of a right triangle! Have a wonderful day!

Answer:

Step-by-step explanation:

Answer:

5.3125  in^2

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V = Bh

Where B is the area of the base

25.5 = 4.8 B

Divide each side by 4.8

25.5/4.8 = B

5.3125 = B

Answer:

Step-by-step explanation:

Answer:

A. 4.1

Step-by-step explanation:

3+4+ 5+ 3+ 4+ 5+ 6+ 7+ 1+ 2+ 3+ 4+ 5+ 6+ 4+ 8+ 4+ 3+ 2= 79

79/ 19 = 4.1

Answer:

1. 5

2. 1

3. 2

4. 23

Step-by-step explanation:

If y=6x+5, you can plug in the known x or y value to get the other with this function. For the first row, y=6(0)+5=5. For the second row, 11=6x+5, and that x=1. For the third row, x is 2, and for the fourth row y is 23. Hope this helps!

Answer:

x=2

Step-by-step explanation:

36=18x

x=36/18

x=2

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

[tex]36 = 18x \\ divide \: both \: sides \: by \: 18\\ \\ 2 = x[/tex]

Answer:

I think it would be 20%.

Step-by-step explanation:

$5 was taken off the original price, which is about 1/5 of $24.99. So, since 1/5 as a percent is 20%, I think the answer would be 20%.

Answer:

It's B.

Step-by-step explanation:

Z=-3, z=6

Answer:

5

Step-by-step explanation:

We know that a^b^c = a^ (b*c)

1/25 ^(-2/3* 3/4)

1/25^ (-2/4)

1/25 ^ -1/2

Rewriting 1/25 as 5^-2

5^-2 ^-1/2

Again a^b^c = a^ (b*c)

5^(-2*-1/2)

5 ^ 1

5

Answer:

2. The correct option is;

D. 112

3. The predicted number of cellular subscription per 100 people in Australia in 2030 is 217 subscriptions

4. The equation of the quadratic regression curve is y = x² - 6×x + 4.1

5. The closest option is;

C. 4191

Step-by-step explanation:

2. The equation for the number of customers in a store is presented as follows;

y = -8.74·x² + 50.57·x + 39.02

Where:

x = Number of hours after opening

∴ When x = 3 hours

y = -8.74×3² + 50.57×3 + 39.02 = 112.07 ≈ 112 people

The correct option is D. 112

3. The expression of the regression equation is presented as follows

y = -0.107·x² + 9.008·x +28.851

Where:

x = Number of years since 1990, hence

When x = 2030 - 1990 = 40 Years

Hence, the predicted number of cellular subscriptions per  people in 2030 is presented as follows;

y = -0.107×40² + 9.008×40 +28.851 = 217.971 Subscribers

To round down to the nearest whole number as y = 217 subscribers

4. The general form of a quadratic equation is presented as follows;

y = a·x² + b·x + c

When x = 0, y = 4.1, therefore;

4.1 =  a×0² + b×0 + c = c

∴ c = 4.1

When x = 1, y = -0.9, therefore;

-0.9 =  a×(1)² + b×1 + c = c

-0.9 =  a + b + 4.1

∴ a + b = -0.9 - 4.1 = -5.0

When x = 2, y = -3.9, therefore;

-3.9 =  a×(2)² + b×2 + c = c

-3.9 =  4·a + 2·b + 4.1

∴ 4·a + 2·b = -3.9 - 4.1 = -8.0

Thus we have two equations;

a + b = -5.0..................(1) and

4·a + 2·b = -8.0 ..........(2)

Multiply equation (1) by 2 and subtract it from equation (2), we have

4·a + 2·b - 2×(a + b) = *8.0 - (2 ×-5.0)

∴ 2·a = 2

a = 1

From equation (1,)  we have;

a + b = -5.0..................(1)

Therefore, where a = 1 we have, 1 + b = -5.0

Hence, b = -5.0  - 1 = -6.0

Therefore, the equation of the quadratic regression curve is presented as follows;

y = x² - 6×x + 4.1

5. The quadratic regression equation is found as follows;

The general form of a quadratic equation is presented as follows;

y = a·x² + b·x + c

When x = 55, y = 3650, therefore;

3650=  a×55² + b×55+ c................(1)

When x = 65, y = 4569, therefore;

4569=  a×65² + b×65+ c ...........(2)

When x = 75, y = 6147, therefore;

6147=  a×75² + b×75+ c............(3)

Solving the system of equation;

3650=  a×55² + b×55+ c................(1)

4569=  a×65² + b×65+ c ...........(2)

6147=  a×75² + b×75+ c............(3)

Subtracting equation (1) from (2), we obtain;

4569 - 3650 =  a×65² + b×65 + c - (a×55² + b×55 + c)

919 = 1200·a + 10·b...........(4)

Subtracting equation (2) from (3), we obtain;

6147 - 4569 =  a×75² + b×75 + c - (a×65² + b×65+ c)

Which gives;

1578 = 1400·a + 10·b...........(5)

Subtracting equation (4) from equation (3), we obtain;

1578 - 919 = 1400·a + 10·b - (1200·a + 10·b)

659 = 200·a

a = 659/200= 3.295

Substituting the value of a in equation (4), we have;

919 = 1200×3.295 + 10·b = 3954 + 10·b

∴ 10·b = 919 -3954 = -3035

b = -3035/10 = -303.5

Substituting the value of a and b in equation (1), we have;

3650 =  (3.295)×55² + (-303.5)×55+ c

3650 = -6725.125 + c

∴ c = 3650 - (- 6725.125)= 10375.125

Therefore, the quadratic regression equation is presented as follows;

y = 3.295·x - 303.5·b +10375.125

Hence, in 1961, x = 1961 - 1900 = 61, we have

y = 3.295×61² - 303.5×61 10375.125= 4122.32

Therefore, the closest option is C. 4191.

Answer:

Step-by-step explanation: I took the test and here are the answers

Answer:

11.2467

Step-by-step explanation:

First we need to find the mean

Add up all the data and divide by number of points)

(6+7+8+10+12+13+14+17+17+17+18+19+21+23+24+24+25+27+31+31+32+36+36+39+41+45+45+46+49+50)/30

261/10

26.1

Then to find the mean absolute deviation take each value and find the absolute value from the mean and sum it and then divide by the number of points

((26.1 -6)+(26.1-7)+(26.1-8)+(26.1-10)+(26.1-12)+(26.1-13)+(26.1-14)+(26.1-17)+(26.1-17)+(26.1-17)+(26.1-18)+(26.1-19)+(26.1-21)+(26.1-23)+(26.1-24)+(26.1-24)+(26.1-25)+(27-26.1)+(31-26.1)+(31-26.1)+(32-26.1)+(36-26.1)+(36-26.1)+(39-26.1)+(41-26.1)+(45-26.1)+(45-26.1)+(46-26.1)+(49-26.1)+(50-26.1))/30

11.2467

Answer:

11 16/75

Step-by-step explanation:

Find the mean: sum/n

783/30

26.1

Find individual |x - 26.1| and add them:

|6-26.1| + |7-26.1| + ...... + |50-26.1|

= 20.1 + 19.1 + .... + 23.9

= 336.4

M.A.D = 336.4/30

11 16/75

Answer:

$10

Step-by-step explanation:

The hardcover books are $12 each which would be $60 out of the $100. There are four more paperbacks meaning they would be $10 each and cost $40 total.

I hope this helped!!! :)

The price of hardcover book is $12.Identity equations and conditional equations are the two types of equations. All possible values of the variables result in an identity.

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. An equation is created by joining two expressions with the equals sign ("=").

An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.as in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. In this article, let's learn more about math equations.

Given ,

We suggest a set of equations for this situation:

Let a be the variable for the price of hardback books.

B: Make the variable for the price of paperback books.

The statement information we have indicates:

[tex]5a+4b=100[/tex]

[tex]b=a-b[/tex]

Adding the second equation to the first one results in:

[tex]5a+4(a-2)= 100\\5a+4 a- 8= 100\\9a =100+8\\9 a=108\\a=108/9\\a=12[/tex]

Consequently, hardcover books are $12.

To learn more about mathematical equation refer to:

https://brainly.com/question/25976025

#SPJ2

Answer:

6.285

Step-by-step explanation:

π·22≈12.56637 divided by 2 (half) is 6.285

Answer:

12.56 units squared

Step-by-step explanation:

find the area of the whole circle:

formula for this is: pi multiplied by the radius which is squared.

The math for this is Below

3.14 x 2 squared

2 squared is 4

so 4 times 3.14 which is 12.56

Answer:

r  =  22 ft  the sprinkler sends water until 22 feet away

Step-by-step explanation:

A circular pattern has an area of  1,519,76 ft²

And  the areaof a circle is:

A(c) = π*r²

A(c) = 3,14 * r²     ⇒   1,519,76  =  3,14 * r²

r²  =  1,519,76/3,14      ⇒   r²  = 484

r  = √484

r  =  22 ft

Answer:

22 ft

Step-by-step explanation:

The sprinkler is located in the middle of the circular pattern created by the sprinkler therefore the distance from the center to the end of the circular pattern is called the RADIUS

note:

area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]

      1519.76 = 3.14 * [tex]r^{2}[/tex]

therefore [tex]r^{2}[/tex] = 1519.76 / 3.14 = 484

therefore radius ( r ) = [tex]\sqrt{484}[/tex]  =  22 ft

The sprinkler is 22 feet away from the spread water

Answer:

Width = 160

Length = 110

Step-by-step explanation:

Perimeter is the sum of all the sides

They tell you that the length is 50 m shorter than the width

so L = W - 50

W = W

540 = W + W + W-50 + W-50

540 = 2W + 2(W-50)

540 = 2W + 2W - 100

540 = 4W - 100

640 = 4W

W = 160

L = 160 - 50

L = 110

Answer:

Length: 110 m

Width: 160 m

Step-by-step explanation:

The formula for perimeter of a rectangle is P = 2L + 2W.

We can write the length in terms of width if width is w:

Length: w - 50

Width: w

Plug the values into the formula.

540 = 2(w - 50) + 2w

540 = 2w - 100 + 2w

540 = 4w - 100

640 = 4w

w = 160

find length by subtracting 50 from the width

160-50=110

Therefore, the length is 110 and the width is 160.