Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false. Show all work.

A) 4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ... + 4n( 4n + 2) = 4(4n+1)(8n+7)/6

B) 1^2 + 4^2 + 7^2 + ... + (3n - 2)^2 = n(6n^2 - 3n - 1)/2

For the given statement Pn, write the statements P1, Pk, and Pk+1.
C) 2 + 4 + 6 + . . . + 2n = n(n+1)

Answer:

9/25 = 36%

Step-by-step explanation:

First add up all of the students (150)

Then divide 54 by 150, 0.36

0.36 = 36% = 9/25

Answer:

Seven

Step-by-step explanation:

the difference between 4 and -3 is seven.

Answer:

AOD i think

Step-by-step explanation:

Answer:

angle aob

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

(2-(-1))/(6-(-3)) = 3/9 = 1/3

Answer:

y=1/3x

Step-by-step explanation:

Find the slope:  2-(-1)

                          6-(-3)

slope = 1/3

Point Slope Form: y-2= 1/3 (x-6)  plug one of the coordinates into the equation

                              y-2= 1/3x -2

                                  y=1/3x

Answer:

B. (10^1/3)³ = 10 ^(1/3×3) =10

Step-by-step explanation:

I took the test on FLVS

Answer:

B

Step-by-step explanation:

Answer: x=39

Step-by-step explanation:

You would subtract 107 and 68 to get your answer. Therefore, your answer would be 39.

Answer:

X=39

Step-by-step explanation:

180 - 107 = 73

180 - 68 = 112

73 + 68 = 141

180 - 141 = 39

Answer:

1.5 meters

Step-by-step explanation:

1-.5+2-1=1.5

Answer:

quick question that 1 4 supposed to be a fraction? as in 1/4?

Answer:

The diameter is any straight line that passes through the center of the circle, which endpoints can lie on. The radius is half the diameter. They help us find the circumference of a circle

Answer:

The diameter is the length of the line through the center that touches two points on the edge of the circle. It is related to the radius because whatever the diameter is is double what the radius is.  In differential geometry, the diameter is an important global Riemannian invariant.

Step-by-step explanation:

Answer:

3 miles

Step-by-step explanation:

6/10x5=30/10

30/10=3

Answer:

19

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

x - 9.5 = -10.5

x = -10.5 + 9.5

x = -1

Answer:

The answer is y = - 7x + 6

Step-by-step explanation:

A parallel line will have the same slope and since the point that is given is a y intercept, you just plug in -7x + 6 to get your parallel equation

Answer:

25%

Step-by-step explanation:

i dont have a Step by step explanation

Answer:

379.94

Step-by-step explanation:

Answer:

D. 69.08 meters

Step-by-step explanation:

The formula for solving circumference is 2 times pi times r(radius). Multiply 2 x 3.14 x 11 (the radius). You get 69.08 meters.

Hope it helps!

Answer:

n = 36

Step-by-step explanation:

4 : 5 = n : 45

It can be also written as :-

[tex]\frac{4}{5} = \frac{n}{45}[/tex]

Multiplying both the sides by 45 ,

[tex]=> \frac{4}{5} \times 45 = \frac{n}{45} \times 45[/tex]

[tex]=> n = 4 \times 9 = 36[/tex]

Answer:

x = 29°

y = 29°

z = 102°

Step-by-step explanation:

x and y both look even to the 29° angle across from them and z looks even to the 102° angle across from it.

Answer:

12x = 84

x = 7

Step-by-step explanation:

12x = 83 1/3 + 2/3

12x = 84

x = 84/12

x = 7

Hope that helps!

Answer:

12x-4u+6-3x+36y-36x-2y-3w-18+5w= -27x-4u-12+34y+2w

I can't belive i am answering this instead of doing my homework

Step-by-step explanation:

Answer:

$43-$27=$16

Step-by-step explanation:

Answer:

he received 16 dollars bc if he had 27 and now he has 43 just count from 27 to 43

Step-by-step explanation:

Answer:

Lina should make $471.75 a month.

Step-by-step explanation:

If Lina makes $9.25 an hour and she works for 15 hours a week then you multiply those two numbers together. The resulting number is $555. Then you'll multiply that by .15 to find 15% of that number which is 83.25. After, you'll subtract that from $555, which gives you $471.75.

Answer:

3m×4m×6m

9m×8m×1m

12m×2m×3m

Step-by-step explanation:

Just multiply the different values

Answer:

x<4

Step-by-step explanation:

Answer:

a = 15

Step-by-step explanation:

6 + 9 = 15

a = 15

15 - 6 = 9

yes

Answer:

a=15

Step-by-step explanation:

Move all terms not containing  a  to the right side of the equation.

15-6=9

Answer:

3 sec

Step-by-step explanation:

30 km/s is 30 kilometers per second. There are 90 km. #0 km is 1/3 of 90 km.

Please mark me the brainliest, 5 stars, and a thank you! Have a GREAT day!

By using given function, For 2 hours Jose will earn $50 for tutoring.

"Function, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)."

Given function

E (h) = 25h

For each hour Jose earns $25 for tutoring

E (1) = $25

For 2 hours Jose will earn:

E(2) = 25(2)

⇒ E(2) = $50

Hence, By using given function, for 2 hours Jose will earn $50 for tutoring.

Learn more about function here

https://brainly.com/question/26382648

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Answer:

-1/3 is the slope of the line

Step-by-step explanation:

Answer:

[tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

y = mx + b

m is the slope and b is the y-intercept.

Subtract x from both sides of the equation.

x - x + 3y = 10 - x

3y = 10 - x

Divide each term by 3.

[tex]\frac{3y}3y} = \frac{10}{3} + \frac{-x}{3}[/tex]

[tex]y = \frac{-x}{3} + \frac{10}{3}[/tex]

Rewrite in slope intercept form.

[tex]y = -\frac{1}{3}x + \frac{10}{3}[/tex]