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3 years ago

Which of these is the algebraic expression for "some number to the power of six?" A.6x B.X+6 C.X^6 D.6^X

Mathematics

1 answer:

Alina [70]3 years ago

7 0

Answer:

Step-by-step explanation:

A and B can be removed because they don't have the "^" known as a carrot which symbolizes a number raised to a certain power.

D is wrong because it says 6 is raised to the x power.

C is correct because a value will be raised to the sixth power.

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Find the midpoint of the line segment JK if j (4,6) and k(0,-4)

Snowcat [4.5K]

Answer:

$(2,1)$

General Formulas and Concepts:

Order of Operations: BPEMDAS

Midpoint Formula: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Step-by-step explanation:

<u>Step 1: Define points</u>

J (4, 6)

K (0, -4)

<u>Step 2: Find midpoint</u>

Substitute: $(\frac{4+0}{2},\frac{6-4}{2})$
Add/Subtract: $(\frac{4}{2},\frac{2}{2})$
Divide: $(2,1)$

4 0

3 years ago

Someone please explain this question PART "b) i" ONLY!!!

Gnom [1K]

<h3>Answer: (n-1)^2</h3>

This is because we have a list of perfect squares 0,1,4,9,...

We use n-1 in place of n because we're shifting things one spot to the left, since we start at 0 instead of 1.

In other words, if the answer was n^2, then the first term would be 1^2 = 1, the second term would be 2^2 = 4, and so on. But again, we started with 0^2 = 0, so that's why we need the n-1 shift.

You can confirm this is the case by plugging n = 1 into (n-1)^2 and you should find the result is 0^2 = 0. Similarly, if you tried n = 2, you should get 1^2 = 1, and so on. It appears you already wrote the answer when you wrote "Mark Scheme".

All of this only applies to sequence A.

side note: n is some positive whole number.

8 0

3 years ago

A triangle has side lengths of 6,8,11 what kind of triangle is it

kow [346]

Answer:

fmmdmme,ekemmdm

Step-by-step explanation:

5 0

3 years ago

Suppose the current cost of gasoline is $2.58 per gallon. Find the current price index number, using the 1975 price of 56.7 ce

AleksandrR [38]

Answer:

Current price index number = 455

Step-by-step explanation:

Given:

Current cost of gasoline = $2.58 per gallon

1975 price of gasoline = 56.7 Cents = 56.7 / 100 = $0.567 per gallon

Find:

Current price index number = ?

Computation:

Current price index number = (Current cost / Reference cost) 100

Current price index number = ($2.58 / $0.567)100

Current price index number = (4.55)100

Current price index number = 455

7 0

3 years ago

The ratio of fiction to nonfiction books in a classroom library is 2 to 3 . If there are 24 books nonfiction books in the classr

worty [1.4K]

Answer:

Step-by-step explanation:

Given the ratio of fiction to nonfiction books in a classroom library is 2 to 3, then the total ratio of both books will be 2+3 = 5. If there are 24 books non fiction books in the library, to get the amount of fictionbooks that are there we will follow the following steps.

First we will calculate the total number of books in the shelf;

3/5 * Total number of books = total non fiction books

3/5 * Total number of books = 24

3*Total number of books = 5*24

3*Total number of books = 120

Total number of books = 120/3

Total number of books = 40

Therefore there are 40 total of books on the shelf.

Total number of fiction books = 2/5 * 40

Total number of fiction books = 2* 8

Total number of fiction books = 16 books

<em>Hence there are 16 fiction books on the shelf.</em>

3 0

3 years ago