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Mkey [24]
3 years ago
5

What is the factorization of 81a6 - 100?

Mathematics
2 answers:
kolezko [41]3 years ago
8 0

Answer:

<em>C</em> - (9a³ - 10) x (9a³ + 10)

Mariana [72]3 years ago
7 0
The answer is (9a3-10) (9a3+10)
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There are four steps in the manufacturing process of a stuffed toy: cutting, stuffing, sealing, and packaging. There are two emp
Anit [1.1K]

Answer:

(a) 2min/15units

(b) 1min/20units

(c) The bottleneck stage is cutting. The process capacity is 450units/hour

(d) The capacity of the new employee should be 1unit/2sec. The process capacity will increase four times

Step-by-step explanation:

(a) Cycle time for stage cutting for 2 employees = 16sec/2units × 1min/60sec = 2min/15units

(b) Cycle time for stage sealing for 1 employee = 3sec/1unit × 1min/60sec = 1min/20units

(c) Process capacity of stage cutting = 15units/2min × 60min/1hour = 450units/hour

(d) If the capacity of the new employee is 1unit/2sec, the process capacity = 1unit/2sec × 3600sec/1hour = 1800units/hour. The process capacity increases 4 times (1800/450 = 4)

7 0
3 years ago
The swimming pool at Spring Valley High School is a rectangle with a width of 70 meters and a length of 30 meters. Around the pe
Nadya [2.5K]

The expression for the area of the rectangular swimming pool is given as follows:

A = w² + 100w + 2100.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle of length l and width w is given by the multiplication of these measures, that is:

A = lw.

In this problem, considering the width of 70 meters and a length of 30 meters, plus the floor of w meters, we have that:

  • l = 30 + w.
  • wi = 70 + w.

Hence the area is given as follows:

A = l x wi = (30 + w)(70 + w) = w² + 100w + 2100.

More can be learned about the area of a rectangle at brainly.com/question/10489198

#SPJ1

4 0
1 year ago
Sketch a graph that represents the situation.
Marysya12 [62]

Answer:

$620

Step-by-step explanation:

 20 x 10 = 200 + 420 = 620

hope this helped. :)

p.s. can I get brainliest?

5 0
3 years ago
PLEASE HELP ME WITH THIS PROBLEM!!
madam [21]
To solve this question, we should know the Triangle Inequality Theorem.

The triangle inequality theorem says something like: The sum of any two sides of a triangle must be greater than than the length of the third side

Making that into a formula, considering the side lengths are a, b, and c.
a + b > c
a + c > b
b+ c > a

So:
Lets test answer choice A.

The sides will then be: 34, 12, and 21

34 + 12 > 21 -> 46 > 12 True
12 + 21 > 34 -> 33 > 34 False

A is not the correct answer choice.

Lets try answer choice B.

The sides for this would be: 34, 12, and 30

34 + 12 > 30 -> 46 > 30 True
12 + 30 > 34 -> 42 > 34 True
30 + 12 > 34 -> 42 > 34 True

So B is correct.

Lets try C to make sure.

The side lengths would be: 34, 12, and 46

34 + 12 > 46 -> 46 > 46 False

So C is wrong.

Lets just make sure D is also wrong, and then we will know for sure if B is the answer :)

Side lengths of answer choice D: 34, 12, and 50

34 + 12 > 50 -> 46 > 50 False

So B is indeed our answer. :)

Another way to solve it is to:

We are given side lengths of 34 and 12.

That means the other side has to be greater than the different of 34 and 12 and less than the sum of 34 and 12.

Lets say that c is the third side, then:

34 -12 < c < 34 + 12
22 < c < 46

And by looking at this range, and the answer choices we know that B) 30 is the answer because the others are at the border and since it isn't greater than or equal to/less than or equal to, we can not include it.Or either the answer choices are out of the range.

So the final answer is \boxed{\bf{B)~30~cm}}
4 0
3 years ago
Write the point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1). y - 6 = 1(x + 5)
Margarita [4]

Answer:

The answer is B. y-6= -1(x+5)

7 0
3 years ago
Read 2 more answers
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