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Over [174]
3 years ago
8

Given that a rectangle has a length of 5/2x + 10 with a width of 5/2x + 5, formulate an expression to represents the area of the

rectangle.
Mathematics
1 answer:
stepan [7]3 years ago
8 0

Answer:

<h3>               A =  ²⁵/₄x² + ⁷⁵/₂x + 50</h3>

Step-by-step explanation:

L = ⁵/₂x + 10

W = ⁵/₂x + 5

A = L•W

A = (⁵/₂x + 10)(⁵/₂x + 5)

A = ⁵/₂x•⁵/₂x + ⁵/₂x•5 + 10•⁵/₂x + 10•5

A = ²⁵/₄x² + ²⁵/₂x + ⁵⁰/₂x + 50

A =  ²⁵/₄x² + ⁷⁵/₂x + 50

Or if yoy mean:

L = 5/(2x) + 10

W = 5/(2x) + 5

A = [5/(2x) + 10][5/(2x) + 5] = 25/(4x²) + 75/(2x) + 50

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Fill in the missing information. Tim Worker is doing his budget. He discovers that the average miscellaneous expense is $45.00 w
nlexa [21]

Answer:

P(38.6

And we can assume a normal distribution and then we can solve the problem with the z score formula given by:

z=\frac{X -\mu}{\sigma}

And replacing we got:

z=\frac{38.6- 45}{16}= -0.4

z=\frac{57.8- 45}{16}= 0.8

We can find the probability of interest using the normal standard table and with the following difference:

P(-0.4

Step-by-step explanation:

Let X the random variable who represent the expense and we assume the following parameters:

\mu = 45, \sigma 16

And for this case we want to find the percent of his expense between 38.6 and 57.8 so we want this probability:

P(38.6

And we can assume a normal distribution and then we can solve the problem with the z score formula given by:

z=\frac{X -\mu}{\sigma}

And replacing we got:

z=\frac{38.6- 45}{16}= -0.4

z=\frac{57.8- 45}{16}= 0.8

We can find the probability of interest using the normal standard table and with the following difference:

P(-0.4

6 0
3 years ago
What is the surface area of this composite figure?
faust18 [17]

Answer:

<h2>          294 cm²</h2>

Step-by-step explanation:

6\cdot6+5\cdot(6\cdot7)+6\cdot4+2\cdot(\frac12\cdot6\cdot4)=36+210+24+24=294\,cm^2

4 0
3 years ago
A function g(x) decreases by 7 over every unit interval in x and g(0) = 0
Zina [86]
Are you asking what the answer is because you are not asking us anything. I would really like to help you out but I need to know what the question is first.
5 0
3 years ago
Please help me!!! I will mark.
miv72 [106K]

Answer:

the answer is the first one!

because if x=-3 we know that |x|=|-3|=3

7 0
3 years ago
If you want four 2 in. platys, seven 1 in. guppies, and a 3 in. loach, what is the smallest capacity tank you can buy?
nikklg [1K]

Answer:

168 cubic inches

Step-by-step explanation:

The parameters given are:

four 2 in. platys, seven 1 in. guppies, and a 3 in. loach, 

Four 2 inches platys = 4 × 2 = 8 inches

Seven 1 inches guppies = 7 × 1 = 7 inches

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The smallest capacity tank you can buy will be

V = 8 × 7 × 3

V = 168 cubic inches

Therefore, the smallest capacity of tank you can buy is 168 cubic inches

5 0
3 years ago
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