1. Angela was doing her homework when her dog bit

off a piece of paper. All she had left was the start

of the sequence: 4, 12, ... and the fact that 972 was some term of the sequence.

a. If the sequence is arithmetic, what is the equation of the nth term and what number term is 972?

Answer:

C

Step-by-step explanation:

Because the quadruple x is equal to 9

Answer:

Step-by-step explanation:

volume of sphere = 4πr³/3 = 36π

r³ = 27

r = ∛27 = 3 ft³

surface area of sphere = 4πr² = 36π ft²

Answer:

14answer 3

15answer1

16answer1

1) 2/5 x 3 =?

Since we cannot possibly cancel the denominators, let us multiply 2 and 3.

Answer will become, 6/5.

2) 2/3x3 =?

We can cut 3 and 3.

Answer will become, 2.

3) 2/5 x 3=?

This is a repeated question and the answer remains the same as the 1st question's answer, 6/5.

4) 3/2 x 3=?

We cannot cancel the denominators, let us multiply 2 and 3.

Answer is, 9/2.

Answer:

A

Step-by-step explanation:

-3(x-p)2+g=0

-3x2+12x=10

-3(x2-4x)=10

-3(x2-4x+4)=10+12

x2-4x+4 = (x-2)2

-3(x-2)2=22

-3(x-2)2-22=0

q = -22

Answer:

Step-by-step explanation:

Use triangle inequality theorem, which states

"The sum of the lengths of any two sides of a triangle is greater than the length of the third side."

The sum of two sides compared to the remaining side:

The sum of two sides is equal to the third side. This makes it impossible to make a triangle. Therefore the answer is no.

Answer:

The square root of 174 with one digit decimal accuracy is 13.1.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of the pyramid:

Volume of the prism:

Since all dimensions remain as is, the volume of the prism is:

Answer:

|x - 9| = 4

Step-by-step explanation:

All numbers x that are at a distance of 4 fro the number 9

Given two numbers a and B, the absolute distance between them is written as :

|a - b| = c

Hence all numbers x at distance of x from 9

|x - 9| = 4

{x : |x - 9| = 4}

Answer:

[tex]Area = \frac{1}{2} L B[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the formula of one of the triangular sections

From the attachment, we have that:

[tex]L = Length[/tex]

[tex]B = Height[/tex]

The area of the triangle is:

[tex]Area = \frac{1}{2} * L * B[/tex]

[tex]Area = \frac{1}{2} L B[/tex]

How to know the formula works?

From the attachment, we can see that the rectangle is divided into two equal triangular sections.

The area of the rectangle is:

[tex]Area = L* B[/tex]

[tex]Area = LB[/tex]

Because the rectangle is divided into two equal triangular sections.

This implies that, the area of one of the triangular sections is half the area of the rectangle.

So:

[tex]Area(Triangle) = \frac{1}{2}Area(Rectangle)[/tex]

Substitute LB for the area of the rectangle

[tex]Area(Triangle) = \frac{1}{2}LB[/tex]

By comparison:

[tex]Area(Triangle) = \frac{1}{2}LB[/tex] and [tex]Area = \frac{1}{2} L B[/tex] are the same

Answer:

15.4z-12

Step-by-step explanation:

Answer:

m = - [tex]\frac{1}{11}[/tex]

Step-by-step explanation:

Answer:

5x+3

Step-by-step explanation:

Answer:

5x + 3 = y

Step-by-step explanation:

y represents the answer

3 more means +3

Product is the answer when two or more values are multiplied together.

So, three more than the product of 5 and x would be 5x + 3 = y

1/7, 2/14, 3/21

I took the test

The three equivalent ratios to compare the oboes to the clarinets are,

⇒ 2 : 14

⇒ 3 : 21

⇒ 4 : 28

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

In the middle school band, there is 1 oboe for every 7 clarinets.

Here, The ratio of the oboes to the clarinets is,

⇒ 1 : 7

Hence, Three three equivalent ratios to compare the oboes to the clarinets are,

⇒ 1 : 7

⇒ 1 / 7

⇒ 1×2 / 7×2

⇒ 2 / 14

And, 1 : 7

⇒ 1×3 / 7×3

⇒ 3 / 21

And, 1 : 7

⇒ 1×4 / 7×4

⇒ 4 / 28

The three equivalent ratios to compare the oboes to the clarinets are,

⇒ 2 : 14

⇒ 3 : 21

⇒ 4 : 28

Learn more about the ratio visit:

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Answer:

B. 180

Step-by-step explanation:

There is a condition that each chest needs to be at least 20 pounds and we can use that to our advantage. Because we want one of the boxes to be really heavy, we need the other three to be really light. Let's set the heavy box as variable y. Set each of the other three boxes equal to 20. Because the combined weight is 240, then the equation so far is 240 = (20*3)+y.

Now, we can solve for y. 240-60 = 180, so the heaviest box has to be 180 lb.

Answer:

The other factors are: [tex](x-2)[/tex] and [tex](x^2+2x+4)[/tex]

Step-by-step explanation:

Given

Polynomial: [tex]x^4 + 2x^3 - 8x - 16[/tex]

Factor: [tex]x + 2[/tex]

Required

Find other factors

[tex]x^4 + 2x^3 - 8x - 16[/tex]

Group into two

[tex]x^4 + 2x^3 - 8x - 16 = (x^4 + 2x^3) - (8x + 16)[/tex]

Factorize:

[tex]x^4 + 2x^3 - 8x - 16 = x^3(x + 2) -8 (x + 2)[/tex]

Factor out common term

[tex]x^4 + 2x^3 - 8x - 16 = (x^3 -8)(x + 2)[/tex]

Rewrite [tex]x^3- 8[/tex] as [tex]x^3 + 2x^2 - 2x^2+ 4x - 4x - 8[/tex]

[tex]x^4 + 2x^3 - 8x - 16 = (x^3 + 2x^2 - 2x^2+ 4x - 4x - 8)(x + 2)[/tex]

Rearrange the terms

[tex]x^4 + 2x^3 - 8x - 16 = (x^3 + 2x^2 + 4x - 2x^2 - 4x - 8)(x + 2)[/tex]

Factorize

[tex]x^4 + 2x^3 - 8x - 16 = (x(x^2+2x+4)-2(x^2+2x+4))(x + 2)[/tex]

Factor out [tex](x^2+2x+4)[/tex]

[tex]x^4 + 2x^3 - 8x - 16 = (x-2)(x^2+2x+4)(x + 2)[/tex]

So, the other factors are: [tex](x-2)[/tex] and [tex](x^2+2x+4)[/tex]

Answer:

30 of her shoes are sneakers

Step-by-step explanation:

40 divided by 8 = 5

5 x 6 = 30

hope this helps!

Answer:

30 of her shoes are sneakers

Step-by-step explanation:

you have to divide 40 by 8 which is 5 and 5 x 6 is 30 hope you have a great day

Answer:

l.mao you could just send a picture, it's a bit hard to actually answer any of the questions if it's jam-packed like that

If we decrease £220 by 15% then it would be £187

"It is a number or ratio that can be expressed as a fraction of 100."

x percent of number p is,

x% of p = p × (x/100)

For given example,

We need to decrease £220 by 15%

First we find the 15 percent of £220

15 percent of £220 is,

⇒15% of £220 = 220 × (15/100)

⇒15% of £220 = 220 × 0.15

⇒15% of £220 = £33

Now, we decrease £220 by 15%,

£220 - £33 = £187

Therefore, if we decrease £220 by 15% then it would be £187

Learn more about percent here:

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Answer:

[tex]a = 2[/tex] and [tex]b = 4[/tex]

Step-by-step explanation:

Given

The expression is:

[tex]\frac{x^2 + ax - 4}{x + 2} + \frac{x + b}{x + 2} = x + 1[/tex] --- missing from the question

Required

Find a and b

Take LCM

[tex]\frac{x^2 + ax - 4+x + b}{x + 2} = x + 1[/tex]

Cross Multiply

[tex]x^2 + ax - 4+x + b = (x+2)*(x + 1)[/tex]

Open brackets

[tex]x^2 + ax - 4+x + b = x^2+2x + x + 2[/tex]

[tex]x^2 + ax - 4+x + b = x^2+3x + 2[/tex]

Collect Like Terms

[tex]x^2 + ax +x + b- 4 = x^2+3x + 2[/tex]

[tex]x^2 + (a +1)x + b- 4 = x^2+3x + 2[/tex]

By comparing the coefficients:

[tex]a + 1 = 3[/tex]

[tex]a = 3 - 1[/tex]

[tex]a = 2[/tex]

[tex]b - 4 = 2[/tex]

[tex]b = 4[/tex]

Hence,

[tex]a = 2[/tex] and [tex]b = 4[/tex]

Answer:

a = 2

b = 6

Edg 2021

Answer: 48

Step-by-step explanation:

add 8 to both sides

-8 and 8 both cancel out and 40 and 8 add to 48

Answer:

21

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

(20)^2 + (7)^2 = [tex]c^{2}[/tex]

400 + 49 = [tex]c^{2}[/tex]

c= [tex]\sqrt{449}[/tex] = 21.1 ~ 21

(hope its right)

Answer:

12 u^2

Step-by-step explanation:

The person below I think got the answer right.

The formula is area= base x height or a=bxh

Answer:

12u^2

Step-by-step explanation:

In one of the boxes, it tells you the formula for finding the area of a parallelogram. Area=base x height or A = b x h. The base is 6 units and the height is 2 units.

A = b x h

12 = 6 x 2

Answer: A: (1, 6)

Step-by-step explanation:

Answer:

16.9659

Step-by-step explanation:

you have to divide the circumference by pi, then you will have your diameter, after that you have to divide the diameter by 2 to get your radius

Answer:

0.22 or 22 cents

Step-by-step explanation:

4.63 (original bread price) - 1.55 (coupon) = 3.08

divided by 14 slices of bread is 22 cents

Answer:

$0.22 per slice

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Apply the coupon to the loaf of bread first. $1.55 off a loaf of bread means subtracting this amount from the original price of bread.

If the loaf is cut into 14 slices, we should divide the loaf of bread's new price by 14.

The price per slice if Ellen uses her coupon is $0.22 per slice.

Thank you L for helping me w/ this question :)

Answer:

(35 - 4)/2 = w and 15.5kg

Step-by-step explanation:

To get the weight of both bags you would have to first subtract the backpack's weight from the total weight. 35 - 4 = 31. Now divide by 2 to get the weight of one bag. 31/2 = 15.5. Each bag weighs 15.5 kg

By setting up a system of equations we can easily solve this problem. Let's denote Jane's working hours with x and Jack's working hours with y. Since they don't want to work more than 65 hours, the first equation is x+y=65. The second equation is 14x+7y=770. By solving this system of equation , we find that y=20 hours, which is Jack's maximum working hours.