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Answer:

[tex]Sum = (k+1)(k+2)[/tex]

Step-by-step explanation:

Given

k + 1 even numbers

Required

Their sum

This question will be solved using the sum of nth term of an AP

[tex]S_n = \frac{n}{2}(2a + (n - 1)d)[/tex]

Where

a = the first even number

[tex]a = 2[/tex]

n = number of terms

[tex]n =k +1[/tex]

d = difference between consecutive even numbers

[tex]d = 2[/tex]

So, the expression becomes:

[tex]Sum = \frac{k+1}{2}(2 * 2 + (k + 1 - 1) * 2)[/tex]

[tex]Sum = \frac{k+1}{2}(2 * 2 + (k) * 2)[/tex]

[tex]Sum = \frac{k+1}{2}(4 + 2k)[/tex]

[tex]Sum = \frac{(k+1)(4 + 2k)}{2}[/tex]

Factorize 4 + 2k

[tex]Sum = \frac{(k+1)*2*(2 + k)}{2}[/tex]

[tex]Sum = (k+1)*(2 + k)[/tex]

[tex]Sum = (k+1)*(k+2)[/tex]

[tex]Sum = (k+1)(k+2)[/tex]

Answer:

Step-by-step explanation:

-3,5

,5,0

Answer:

Step-by-step explanation:  

Answer:

66

Step-by-step explanation:

Red counters: 120/4=30

Blue counters:120/5=24

Green counters:30+24=54, 120-54=66

Answer:

Step-by-step explanation:

B

Answer:

d 11x + 24

Step-by-step explanation:

Perimeter = 5x + 3 + 2x + 6 + 4x + 15

                 = (5x + 2x + 4x) + (3 + 6 + 15)

                 = 11x + 24

Answer:

angle 6 is 63

They are alternate to each other

Step-by-step explanation:

Here, we want to get the measure of angle 6 from the diagram

From the diagram,

angle 6 is also 63

The reason for this is because the two angle measures are alternate angles and alternate angles are congruent

Answer:

7 1/2

Step-by-step explanation:

8x = 12

divide both sides by 8 to get x alone

this proves that x = 1.5

because 12/8 = 1.5

then

2y + 10 = 22

subtract 10 from both sides : 2y = 12

then divide both sides by 2 to get y alone

y = 6

then

add x and y together : 6 + 1.5 = 7.7 or 7 1/2

Answer:

The total volume of this 3D Figure is 944.

Step-by-step explanation:

The volume of:

1. The above figure is 400.

2. The bottom figure is 544.

3. Add the total volume of those 2 figures (400+544).

4. You have found the final answer!

Answer:

So the first part of this shape is 400 ft and the secound part of this shape is 544 ft. Hence, since want the whole shape volume your answer would be and always will be 944 ft.

Step-by-step explanation:

since i'm pretty good at math I well tell you how I got this answer in this qustion I seen that this figure is 3-dimensional meaning that we have height,length, and width ( there is two more and were not going to talk about it ) prove we got to time not 2 but 3 times and since this figure has 2 part we would need to brake it into and mutlply both parts (sepertly) to get the answer right so for the first part (or what on the top).

1st part

since the height is 5 ft. that is the first part of our equation,I see that the width must be 10 ft., which well be the second part of our equation, and i see the length is  8 ft so our equation is , 8x10x5 witch mean the first part of the figure is 400 ft

2nd part

since the height is 4 ft. this mean we have the first part of our equation,the width is 8 ft so that the second part of our equation,and I see the length is 17 ft., means this equation is 4x8x17 so this part of the figure is 544 ft.

The whole figure

So with are info from the first and second part of our equation we can now add both parts of the figures  means if we add both of them the answer would be 944 ft.

if you don't other stand  here a tip:In geometry, a three-dimensional shape can be defined as a solid figure or an object or shape that has three dimensions – length, width and height. Unlike two-dimensional shapes, three-dimensional shapes have thickness or depth.

brainliest pls and thank you this is was all hard work

Answer:

I got this question too! I'm not sure

Step-by-step explanation:

Answer:

I would say the answer would be B if wrong sorry .

Step-by-step explanation:

Answer: 1/3

Step-by-step explanation:

Step-by-step explanation:

your answer is 60

hope it helps :)

try this...............

Answer:

Act 2 of the Christmas Carol begins with Scrooge getting a visit from the ghost of Christmas present. This spirit is a jolly man filled with happiness and laughter. ... Scrooge sees Bob Cratchit's crippled son, Tiny Tim, who shows so much kindness towards everyone that it warms Scrooge's heart.

Step-by-step explanation:

your welcome

Answer:                                            

p(x)=x^3-4x^2+5x-2

=(2)^3-4(2)^2+5(2)-2

=8-4(4)+10-2

=8-16+10-2

=0

hope it helps mark as brainliest

Answer:

remainder is zero  

quotient is x^2-2x+1

Step-by-step explanation:

Answer:

(a+k(x-a), b+k(y-b))

I = (5, 5)

N = (8, 3)

R' = (5, 3)

O' = (9, 1)

S' = (11, 9)

Step-by-step explanation:

Answer:

a. Assuming gallons of unleaded regular is denoted by r; and unleaded premium by p.

Revenue from one gallon of unleaded regular is $1.299 and from unleaded premium is $1.379.

Revenue function = 1.299r + 1.379p

b. Cost of one gallon of unleaded regular is $1.219 and for unleaded premium is $1.289.

Cost function = 1.219r + 1.289p

c. Total profit = Revenue - Cost

= 1.299r + 1.379p - 1.219r - 1.289p

= 1.299r - 1.219r + 1.379p - 1.289p

= 0.08p + 0.09p

d. If station sells 100,000 gallons of unleaded regular and 40,000 of unleaded premium;

= (0.08 * 100,000) + (0.09 * 40,000)

= 8,000 + 3,600

= $11,600

Answer:  The Length of the rectangle is 18 feet.

The width is 8 feet

Step-by-step explanation:  Perimeter is 2w + 2L

Length here is 2w + 2   Substitute this value for L in the equation.

P = 2w + 2L

52 = 2w + 2(2w + 2)  distribute and add

52 = 2w + 4w + 4

52 = 6w + 4    Subtract 4 from both sides, Then divide both sides by 6 to solve  for w

48 = 6w

8 = w  The width is 8 ft

Substitute into the original expression for Length

Length here is 2w + 2 :  2(8) + 2   16 + 2 = 18

The Length is 18 feet.

Check:   in the original equation P = 2w + 2L

52 = 2(8) + 2(18)

52 = 16 + 36  TRUE!

Answer:

The length would be 18ft the width would be 8ft

Step-by-step explanation:

Step-by-step explanation:

42.4

-

7.32

----

move the decimal

42.40

07.32

-------

35.08

Answer:

The answer is C which is 15

Step-by-step explanation:

M decreased by 12 is equal to negative 6

That means:

12 - M = -3

or, 12 - (-3) = M

or, M = 12 + 3

. °. M = 15 Ans

Answer:

m=15

Step-by-step explanation:

m-12=3

add 12 both sides

m=15

the bottom. 1/23 something it that one

Answer: (0.809, 0.891)

Step-by-step explanation:

Let p = population proportion for a snack foods that contain more fat grams and was indicated on the snacks nutritional information .

As per given , we have

Sample size : n= 205

Sample proportion: [tex]\hat{p}=\dfrac{174}{205}\approx0.85[/tex]

z-value for 90% confidence = 1.645

Confidence interval for p: [tex]\hat{p}\pm z^* \sqrt{\dfrac{p(1-p)}{n}}[/tex]

[tex]0.85\pm (1.645)\sqrt{\dfrac{(0.85)(1-0.85)}{205}}\\\\=0.85\pm (1.645)\sqrt{\dfrac{0.85\times0.15}{205}}\\\\= 0.85\pm (1.645)\sqrt{0.000621951219512}\\\\=0.85\pm0.041\\\\=(0.85-0.041,\ 0.85+0.041)\\\\= (0.809,\ 0.891)[/tex]

Hence, the required confidence interval = (0.809, 0.891)

Answer:

y=4

Step-by-step explanation:

Answer:

a = 29

b = 20

Step-by-step explanation:

2a - 1 = 57

    + 1     + 1

2a = 58

/ 2    / 2

a = 29

2a - 1 + 7b - 17 = 180

2 (29) - 1 + 7b - 17 = 180

58 - 1 + 7b - 17 = 180

57 + 7b - 17 = 180

7b + 40 = 180

      - 40     - 40

7b = 140

/ 7      / 7

b = 20

Step-by-step explanation:

P(two green candies)

15 candies in total

5 green/15 total

which is equal to 1/3

left over candies= 13 because we are removing 2 green from the total

Answer:

There were 423 adult tickets sold.

Step-by-step explanation:

Let x = the number of adult tickets sold

Let x + 65 = the number of student tickets sold

x + x + 65 = 715

2x = 715

x = 357.5

x + 65 = 422.5 (round up)

Answer:

adults=325& students=390

Step-by-step explanation:

let me the tickets for adults be x

for students will be x+65

x+x+65=715

2x+65=715

2x=715-65

2x=650

x=650÷2

x=325

Answer:

10i

Step-by-step explanation:

The square root of negative 100 is not equal to 10. If 10 was the square root of negative 100, then 10 squared would be equal to negative 100. But in fact, 10 squared is 10*10, which is obviously (positive) 100, not negative 100.

To determine the actual value of the square root of negative 100, we can proceed as follows:

Let s be the square root of negative 100.

Then s^2 = -100.

So s^2 = 100×(-1) = (10^2)×(i^2) =10×10×i×i = 10×i×10×i =(10i)^2.

So s = 10i.

So the square root of negative 100 is equal to 10i.

Note that the square of -10i is also equal to negative 100. 10i is the principle square root of negative 100.

Answer:

10i

Step-by-step explanation:

Since, it's a negative square root you have to use imaginary numbers to make it solvable. Hope this helps! :)

Answer:

9 inches wide

Step-by-step explanation:

What we know:

Cindy has a 3-inch by 4-inch picture.

She wants to enlarge that picture so the length is 12 inches.

It's 4 inches long in the original, and 12 inches in the scale.

Divide 12 by 4 to get a scale factor of 3.

Multiply 3 by 3 (essentially 3^2) to get 9 inches as the width.

Answer:

4

Step-by-step explanation:

Answer:

4.

Step-by-step explanation:

Answer: The answer is 7-b=-y

Step-by-step explanation: You subtract b from one side to the other, and then do the same with y

Answer:

C

Step-by-step explanation:

Okay so im going to gudie you thru So what it is asking you is to Count all the cubic squares looking things so what i can see is that You circled 169 aka C that would be correct because it cant be 11 cause it dosent look like 11 square units  lol you get what im saying so the answer is C hope this HELPSS!!

By the way follow my insta. exotic. jaliyah if you need anymore help

Answer:

Simplify the equation as closely as possible to the form of y = mx + b. Check to see if your equation has exponents. If it has exponents, it is nonlinear (exponential). If your equation has no exponents, it is linear.