Answer:

**Answer with Step-by-step explanation:**

Since we have given that

1+4+9+........................+n² =

We will show it using induction on n:

Let n = 1

L.H.S. :1 = R.H.S. :

So, P(n) is true for n = 1

Now, we suppose that P(n) is true for n = k.

Now, we will show that P(n) is true for n = k+1.

So, it L.H.S. becomes,

and R.H.S. becomes,

Consider, L.H.S.,

So, L.H.S. = R.H.S.

**Hence, P(n) is true for all integers n.**

A beluga whale is 5 yards and 3 inches long, and a gray whale is 15 yards and 5 inches long. What is the difference in length between the two whales?

Kristin is saving up money to go on a trip around the world next year. In order to make enough to pay for her trip, Kristin has to work at least 260 days this year.Which of the following inequalities represents Kristin's possible number of workdays, d

A company rents water tanks shaped like cylinders. Each tank has a diameter of 6 feet and a height of 2 feet. The cost is $4 per cubic foot. How much does it cost to rent one water tank?

Jack bought a sweater at a sale price of $15. The original cost of the sweater was $50. What percent represents the discount that Jack received when buying the sweater? *

Let X∼ Exponential (λ )and let t be a constant with 0 0 be any value.

Kristin is saving up money to go on a trip around the world next year. In order to make enough to pay for her trip, Kristin has to work at least 260 days this year.Which of the following inequalities represents Kristin's possible number of workdays, d

A company rents water tanks shaped like cylinders. Each tank has a diameter of 6 feet and a height of 2 feet. The cost is $4 per cubic foot. How much does it cost to rent one water tank?

Jack bought a sweater at a sale price of $15. The original cost of the sweater was $50. What percent represents the discount that Jack received when buying the sweater? *

Let X∼ Exponential (λ )and let t be a constant with 0 0 be any value.

**Answer:**

osjdiajsjoasnndosnsnd

**Answer:**

a

**Step-by-step explanation:**

because of the line test

Answer:

240 pages

Step-by-step explanation:

Let x = the TOTAL number of pages in the book. So we'll add up all her reading for the week and it should equal x, the total number of pages.

see image.

O A. 8 mm

OB. 14 mm

O C. 16 mm

O D. 18 mm

**Answer: The answer is A, 8 mm.**

**Step-by-step explanation:**

Answer:

660 ways

**Step-by-step explanation:**

we have two numbers in consecutive positions in this question

(1,1) and (2,2)

numbers of ways that (1,1) are in consecutive positions = 6!/2! = 360

number of ways that (2,2) are in consecutive positions = 6!/2! = 360

the permutation of (11),(22),3,4,5 = 5!

**ps:****I ****counted****the****pairs****as****one****each****.**

5! = 120

to get total number of permutations

7!/2!2!

= 5040/4

= 1260

the number of ways that 2 identical digits are not consecutively positioned = 1260-360-360+120

= *660 ways*

**Answer:**

Yes

**Step-by-step explanation:**

**Answer:**

The answer is Yes. Hope this helps :)

**Step-by-step explanation:**