Use sigma notation to represent the following series for the first 10 terms.

3 + (-6) + 12 + (-24) + ⋯

Answer:

21, 22 and 26

Step-by-step explanation:

To answer this question first we need to know which are the factors of 12:

[tex]12= 2^2(3)[/tex]

So, now, we need 3 numbers that are between 20 and 30 and that only have one common factor with 12, in other words, they need to have just a 2 or a 3 in their factorization.

Let's take number 21:

[tex]21= (7)(3)[/tex], we can see that 21 only has a 3 and a prime so therefore it has only one common factor with 12

Now, let's take the number 22,

[tex]22=11 (2)[/tex], thus since 22 has a 2 and a prime, it has only one common factor with 12.

Now, let's take the number 26

[tex]26= 13 (2)[/tex], thus, since 26 has a 2 and a prime, it has only one common factor with 12.

Thus, the three possible answers are 21, 22 and 26

Answer:

C

Step-by-step explanation:

Is is a one-tailed test

P(z < 2.45) = 0.9929

1 - 0.9929 = 0.0071

Significant at both 0.05 and 0.01 because both are greater than 0.0071

Answer:

The finding is significant at both α = 0.05 and α = 0.01.

Answer:

2 1/2

Step-by-step explanation:

take 25 and divide it by 10 giving you 5/2 but that equals 2.5 and 2.5 equals 2 1/2

Answer:

Look at the lightest loaf of bread. It weighs 22 1/3 oz. The heavist loaf weighs 24 1/2. Subtract 24 1/2 and 22 1/3. Then, if the answer to that is 1 1/2 ounces then you agree. If it is not, then disagree. Then, add up all of the weights of the bread and find the answer.

Answer:

k=13

Step-by-step explanation:

substitute x and y

4+9=k

k=13

Answer:

13

Step-by-step explanation:

Plug in the given x and y values: 2(2) + 3 (3) = k

Then multiply 4 + 9 = k

Then add 13 = k

Answer:

C. [tex]b^{27}[/tex]

Step-by-step explanation:

Assume b is a number like 3

([tex]3^{9}[/tex])³=19683³=7625597484987

[tex]3^{24}[/tex]=282429536481

B is definitely wrong. Not even going to try.

[tex]3^{27}[/tex]=7625597484987

D is definitely wrong. Not even going to try.

Answer:

x=-1,x=-8  can't factor it

Step-by-step explanation:

Step-by-step explanation:

x = -1 , x = -8

Hope its help u

Answer:

The measure of angle N to the nearest degree is 28 degrees

Step-by-step explanation:

To answer this question, we shall be needing a diagrammatic representation of the triangle. Please check attachment for this.

To calculate the angle N, we shall be making use of trigonometric identities. From the diagram we see that we have the hypotenuse ( the longest side and the side facing the angle 90) and also the opposite ( the side facing the angle N)

Thus, the correct trigonometric identity to use here is the Sine

Mathematically, the sine of an angle = length of the opposite/length of the hypotenuse

Our opposite here is 4.2 feet with our hypotenuse as 9 feet

Plugging these values, we have

Sin N = 4.2/9

Sin N = 0.46666667

N = arc sin (0.46666667)

N = 27.82 , to the nearest degree we have 28 degrees

Answer:

28°

Step-by-step explanation:

:)

Answer:

756 is evenly divisible by 2, 3, 4, 6, and 9.

Step-by-step explanation:

756 is evenly distributed by the numbers (above).

Answer:

0.62

Step-by-step explanation:

Answer:it’s 31.7 cm^2

Step-by-step explanation:

The approximate area of the shaded sector is 31.7 cm² (Option A).

To find the area of the shaded sector, we need to calculate the fraction of the entire circle that the sector represents and then multiply it by the area of the whole circle.

The formula to find the area of a sector is given by:

Area of sector = (θ/360) * π * r²

where θ is the central angle and r is the radius of the circle.

In this case, the radius (r) of the circle is given as 11 cm, and the central angle (θ) is given as 30 degrees.

Let's calculate the area of the shaded sector:

θ = 30 degrees

r = 11 cm

Area of sector = (30/360) * π * 11²

             = (1/12) * π * 121

             = π * 10.0833...

Now, we can approximate the value of π as 3.14:

Area of sector ≈ 3.14 * 10.0833...

             ≈ 31.7 cm²

Therefore, the approximate area of the shaded sector is 31.7 cm².

The correct option from the given choices is A. 31.7 cm².

To know more about sector, refer here:

https://brainly.com/question/12051312

#SPJ2

Answer:

The graph changes from the original position to right 3 units and down 1 unit.

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

Answer:

Keith; -5, -12

Step-by-step explanation:

Logic ( Subtract 12 from both sides, then factor it out)

Answer:

the two opposite angles equal 45 and the other two who are twice the amount is 90

Step-by-step explanation:

sum of angles in a quadrilateral is 360. Lets name the two equal diagonal angles x that means the equation wil be

x+x+2x+2x=360

8x=360

x=45

so the equal diagonal ones will be 45 and the other two angles will be twice as much so 45x2=90

Answer:

cosx= 35. Use Trignometrical identity cosx = √1−sin2x . cos x = √1−1625 = √925 = 35 to be the ...

Missing: =0.82 ‎| Must include: =0.82

Step-by-step explanation:

Answer:

Step-by-step explanation:

A) One student is chosen from Classroom A, then a student is chosen from Classroom B

the sets for each probability to happen are different. what happen in first clause is unrelated to the second clause

Answer:

This means the store room is 19.15ft up

Step-by-step explanation:

The set up of the question will form a right angle triangle.

The length of the ladder will be the hypotenuse of the triangle and the angle the ladder forms will be the angle of elevation. This angle of elevation will face the opposite side of the triangle which is the height of the storeroom directly.

Using the SOH CAH TOA trigonometry identity,

According to SOH;

Sin∅ = opposite/hypotenuse

∅ is the angle the ladder forms

sin50° = x/25

x = 25sin50°

x = 19.15ft

This means the store room is 19.15ft up

Answer:

Its A

Step-by-step explanation:

c=-20, -15, -5

f(c)=-4,5,23

gl with your test or quiz

Answer: its A

Step-by-step explanation:

Answer:

1130

Step-by-step explanation:

8x75=600

8÷9=72+3

8×1=8+1=9

8×1+1=9

Answer:1130^8

Step-by-step explanation:trust me bro

Answer:

y = -3x - 9

Step-by-step explanation:

Equation of line in point slope form is given as:

[tex]y - y_1 = m(x-x_1) \\

y - 3= - 3\{x - (-4)\}\\

y - 3 = - 3(x + 4)\\

y =- 3x - 12 +3\\

y = - 3x - 9\\ is \: the \: required \: equation \\ [/tex]

Answer:

There are two possibilities: 1) A is the hypotenuse: [tex]C \approx 18.74[/tex], 2) A is not the hypotenuse: [tex]C \approx 21.19[/tex]

Step-by-step explanation:

Let be C the remaining side of the triangle. Given that triangle is right-angled and the remaining side can be found by Pythagorean Theorem, there are two options by using the two known sides:

1) A is the hypotenuse

[tex]20^{2} = 7^{2} + C^{2}[/tex]

[tex]C^{2} = 20^{2}-7^{2}[/tex]

[tex]C = \sqrt{20^{2}-7^{2}}[/tex]

[tex]C \approx 18.74[/tex]

2) A is not the hypotenuse

[tex]C^{2} = 20^{2} + 7^{2}[/tex]

[tex]C = \sqrt{20^{2}+7^{2}}[/tex]

[tex]C \approx 21.19[/tex]

Answer:

h = 9

Step-by-step explanation:

[tex]volume = \pi \: {r}^{2} h \\ 1,386 = \frac{22}{7} \times 7 \times 7 \times h \\ 1,386 = 154 \times h \\ h = \frac{1,386}{154} \\ h = 9[/tex]

The complete question is;

Marquis wrote the linear regression equation y = 1.245x - 3.685 to predict the cost, y, of x songs purchased. Marquis spent $40 on songs. Which is the best estimate of the number of songs that Marquis purchased?

Answer:

The best estimate of the number of songs that Marquis purchased = 35 songs

Step-by-step explanation:

First of all, let's make x the subject of the linear regression equation.

 We are given that,

 y = 1.245x - 3.685

 So,

 1.245x = (y + 3.685)

 x = (y + 3,685) / (1,245)

We are told that Marquis spent $40 on songs.

Thus;

Substituting the value of $40 for y into the equation to get;

 x = (40 +3,685)/(1,245)

x = 35.09

x ≈ 35

Thus, the best estimate of the number of songs that Marquis purchased is 35

Answer:

the number of songs that Marquis purchased is 35

Answer:

12

Step-by-step explanation:

If there are 3 classrooms that each have 25 desks and there are a total of 87 students, how many more desks need to be added to a 4th classroom, that was originally empty, so that each of the students has a desk to sit in?

25 * 3 = 75

87 - 75 = 12

Answer:

64

Step-by-step explanation:

To get the answer, just perform the reverse operation of what the question said. In this case, you would want to multiply by the reciprocal, which is (8/3). So the answer is found by just solving 24*(8/3).

Answer:

The number is 64

Step-by-step explanation:

Let the number be x

3/8 of x = 24

x = 24 ÷ (3/8)

[tex]x=24*\frac{8}{3}\\\\x=8*8[/tex]

x = 64

Answer: 1. Not always accurate.

2. A football game.

3. By using the data from the winning percentage against number of games played.

Step-by-step explanation:

Meteorologists are responsible for making weather predictions, but their predictions are always not accurate because they use datas and theory to predict the scenarios of the weather or what it might be. Their predictions are not accurate because of changes in weather or data being used unexpectedly.

A scenario where I would use data to make a prediction could be in a football match or game where you i have a percentage of winning, which depends on how many times the game is played.

The winning percentage gives us the data on the probability of winning the game which would help predict how many times you'll win a game by how many times the game is played.

To find the slope of thine that passes through these points, use the slope formula. It can be read as “slope equals the second y-coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate.”

So we have [tex]\frac{-4 - 5}{-3 - 2}[/tex] and this simplifies to -9/-5 or 9/5.

Remember, a negative divided by a negative is a positive.