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Oksi-84 [34.3K]
2 years ago
15

Write and evaluate the expression. Then, select the correct answer. Two less than the quotient of a number and four, increased b

y ten; evaluate when m = 12 2 4m -10, when m = 11, the value is 40 4m 2 10, when m = 11, the value is 60 2 -StartFraction m Over 4 EndFraction 4m 10, when m = 12, the value is 9 StartFraction m Over 4 EndFraction-2 10, when m = 12, the value is 11.
Mathematics
1 answer:
zubka84 [21]2 years ago
8 0

The expression is 2 - m/4 + 10, when m = 12, the value is 9. Then the correct option is C.

<h3>What is the linear system?</h3>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Two less than the quotient of a number and four, increased by ten.

That can be written as in the form of m will be

\rm 2 - \dfrac{m}{4} + 10

If the value of m is 12, then we have

\rm 2 - \dfrac{m}{4} + 10\\\\\rm 2 - \dfrac{12}{4} + 10\\\\2- 3 + 10\\\\12 - 3 \\\\9

Thus, the expression is 2 - m/4 + 10, when m = 12, the value is 9. Then the correct option is C.

More about the Linear system link is given below.

brainly.com/question/20379472

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Which figure has the same area as the parallelogram shown below? A. A triangle with a base of 4 mm and a height of 20 mm B. A tr
Arisa [49]
<h2>Answer:  A trapezoid with bases of 6 mm and 14 mm and a height of 8 mm </h2>

The parallelogram in the figure has an area of 80mm^{2}, according to the following formula, which works for all rectangles and parallelograms:

A_{parallelogram}=(b)(h)   (1)

Where b is the base and h is the height

The<u> area of a triangle</u> is given by the following formula:

A_{triangle}=\frac{1}{2}(b)(h)   (2)

So, for option A:

A_{triangle}=\frac{1}{2}(4mm)(20mm)=40mm^{2} \neq 80mm^{2}    

Now, the <u>area of a trapezoid </u>is:

A_{trapezoid}=\frac{1}{2}(b_{1}+ b_{2})(h)   (3)

For option B:

A_{trapezoid}=\frac{1}{2}(15mm+25mm)(2 mm)=40mm^{2} \neq 80mm^{2}    

For option C:

A_{trapezoid}=\frac{1}{2}(6mm+14mm)(8 mm)=80mm^{2}>>>>This is the correct option!

For option D:

A_{rectangle}=(30mm)(8mm)=240mm^{2} \neq 80mm^{2}    

<h2>Therefore the correct option is C</h2>
5 0
3 years ago
Suppose an electronics manufacturer takes a sample of 5000 devices produced by an assembly line. Each device is inspected or tes
Deffense [45]

Answer:

DPMO = 40

Does not meet Six Sigma goals

Step-by-step explanation:

If there are 40 possible defects in each of the 5,000 devices, the number of defect opportunities is:

n=5,000*40\\n=200,000\ opportunities

If 8 total defects were found, the DPMO for the sample is:

DPMO = \frac{8}{200,000}*1,000,000\\DPMO = 40

Six Sigma aims to reduce defects to 3.4 Defects Per Million Opportunities, since the DPMO is higher than 3.4, the process does not meet Six Sigma goals.

8 0
3 years ago
In George's Geometry class, tests are worth 50%, homework is worth 25%, and quizzes are worth 25%. Each grade is based on a 100
spayn [35]

test 1 = 50

 test 2 = 70

70+50 = 120

so  tests are .5*120/2 = 30 points

hw = .25*100= 25 points

quiz = .25*75 = 18.75

total score = 30+25+18.75 = 73.75

3 0
3 years ago
A linear trend equation is used to represent time series values when the data are changing by equal what? a. proportions b. amou
Nastasia [14]

Answer: Amounts

Step-by-step explanation:

Time series analysis are the method which are used by researchers to analyze the time series data so as to get the features of the data and to also derive meaningful statistics.

A linear trend equation is used to represent time series values when the data are changing by equal amounts.

4 0
3 years ago
(x-6)(x+2) hi am am stuck can someone answer asap
notka56 [123]

Answer:

x²-4x-12

Step-by-step explanation:

multiply each term in the first parentheses by each term in the second parentheses

x*x+2x-6x-6*2

calculate the product

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collect like terms

x²-4x-12

7 0
3 years ago
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