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Nimfa-mama [501]
3 years ago
10

Factor the expression 2x^3-10x^2-5x+25. Show your work.

Mathematics
1 answer:
azamat3 years ago
4 0

Step 1. Factor out common terms in the first two terms, then in the last two terms.

2x^2(x - 5) -5(x - 5)

Step 2. Factor out the common term x - 5

(x - 5)(2x^2 - 5)

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Suppose the population of a certain city is 4164 thousand. It is expected to decrease to 3460 thousand in 50 years. Find the per
lilavasa [31]

Answer:

16.9%

Step-by-step explanation:

Given data

Initial populatation= 4164

Final population=  3460

Percent decrease= initial-final/initial*100

Percent decrease=  4164-3460/4164*100

Percent decrease= 704/4164*100

Percent decrease= 0.1690*100

Percent decrease= 16.9%

Hence the decrease is 16.9%

4 0
3 years ago
The length of a rectangle is 4ft less than its width. The area of the rectangle is 60ft^2. Find the length and the width of the
irinina [24]

Answer: The length is 6 feet and the width is 10 feet.

Step-by-step explanation: The question has specified the area as 60 (square feet) and the length and width are yet unknown. However we know that the length is 4 feet less than the width. What this means is that, if the width is W, then the length is W - 4.

We can now write an equation for the area of the rectangle as follows;

Area = L x W

60 = (W - 4) x W

60 = W^2 - 4W

If we rearrange all terms on one side of the equation, we now have

W^2 - 4W - 60 = 0

This is a quadratic equation and by factorizing, we now have

(W + 6) (W - 10) = 0

Hence,

Either W + 6 = 0 and then W = -6

Or W - 10 = 0 and then W = 10

We know that the side of the rectangle cannot be a negative value, so we go with W = 10.

Having calculated W as 10, the length now becomes

L = W - 4

L = 10 - 4

L = 6

Therefore, length = 6 feet and width = 10 feet

3 0
3 years ago
Find the volume of a sphere made by rotating a circle with a radius of 12 inches. Use 3.14 for π and round to nearest whole numb
stiv31 [10]
We know that

[volume of a sphere]=(4/3)*pi*r³
r=12 in
[volume of a sphere]=(4/3)*3.14*12³-----> 7234.56 in³------> 7235 in³

the answer is the option
<span>D) 7,235 in</span>³
3 0
3 years ago
Random samples of size 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively.
jeka57 [31]

Answer:

D 200 and 2

Step-by-step explanation:

standard error of the sampling distribution of sample mean is expressed using the formula;

Standard error of the mean = S/√n where;

S is the standard deviation

n is the sample size

Given

S = 18

n = 81

SEM = 18/√81

SEM = 18/9

SEM = 2

The mean of the distribution according to the question is 200.

Hence the mean and the standard error of the sampling distribution of sample mean are 200 and 2 respectively.

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It will take Gayle 11 weeks
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