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saw5 [17]
3 years ago
7

15a^3+6a^2b-25ab^2-10b^3

Mathematics
1 answer:
bekas [8.4K]3 years ago
3 0

Answer: 3a

​2

​​ (5a+2b)−5b

​2

​​ (5a+2b)

2 Factor out the common term 5a+2b5a+2b.

(5a+2b)(3{a}^{2}-5{b}^{2})(5a+2b)(3a

​2

​​ −5b

​2

​​ )

Step-by-step explanation:

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8. Let α, β, γ be the angles made by a vector u ∈ R 3 with positive x, y, z−axis respectively. Then, the numbers l = cos α, m =
alex41 [277]

Answer:

The answers are given in the attachment

Step-by-step explanation:

The detailed step by step calculations are shown in the attachment.

8 0
3 years ago
A contemporary building has a window in the shape of a parallelogram with a base of 90 in and an adjacent side of 40 in. How man
BaLLatris [955]

260 inches of trim are needed to surround the​ window.

<h3 /><h3>What is the surface area?</h3>

The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.

Actually, all we need is a trim that is the same size as our window and equal to the parallelogram's circumference, which is

The sum of the side is;

⇒Length of lower side + Length of the upper side

⇒ 90+90

⇒180 inches

The sum of adjacent sides;

Sum of adjacent sides  =  40+40

Sum of adjacent sides  = 80 inches

The length you should trim is needed to surround the​ window is found as;

⇒ 180 inches + 80 inches

⇒260 inches

Hence,260 inches of trim are needed to surround the​ window.

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7 0
2 years ago
What is the minimum of points required to make a plane?
maksim [4K]
The minimum amount of points required to make a plane is 3 points.
4 0
3 years ago
Read 2 more answers
Fill in the missing terms of the arithmetic sequence,<br> -7. 1,5-13
LenKa [72]

Answer:

-3, 9

Step-by-step explanation:

The constant is 4.

7 0
3 years ago
2.The mean area of several thousand apartments in a new development is advertised to be 1,100 square feet. A consumer advocate h
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Answer:

Null Hypothesis, H_0 : \mu = 1,100 square feet

Alternate Hypothesis, H_A : \mu < 1,100 square feet

Step-by-step explanation:

We are given that the mean area of several thousand apartments in a new development is advertised to be 1,100 square feet.

A consumer advocate has received numerous complaints that the apartments are smaller than advertised.

<u><em>Let </em></u>\mu<u><em> = mean area of several apartments.</em></u>

So, Null Hypothesis, H_0 : \mu = 1,100 square feet

Alternate Hypothesis, H_A : \mu < 1,100 square feet

Here, <u>null hypothesis states that</u> the mean area of apartments are same as advertised.

On the other hand, <u>alternate hypothesis states that</u> the mean area of apartments are smaller than advertised.

So, this would be the appropriate null and the alternative hypothesis to test this claim.

4 0
3 years ago
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