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posledela
3 years ago
11

A rectangle has a height of 5m^4 and a width of m^2-2m-1.

Mathematics
2 answers:
In-s [12.5K]3 years ago
8 0

Answer:

area of the rectangle = 5(m⁶ - 2m⁵ - m⁴) or 5m⁴(m² - 2m - 1)

Step-by-step explanation:

The rectangle has a height of 5m⁴ and the width is m² - 2m - 1.The area of the rectangle is the product of the width and the height.

width =  m² - 2m - 1

height = 5m⁴

area of rectangle = 5m⁴ × (m² - 2m - 1)

area of rectangle = 5m⁴(m² - 2m - 1)

area of the rectangle = 5m⁶ - 10m⁵ -  5m⁴

area of the rectangle = 5(m⁶ - 2m⁵ - m⁴)

The area of the entire rectangle can be expressed as 5(m⁶ - 2m⁵ - m⁴) or 5m⁴(m² - 2m - 1)

Serhud [2]3 years ago
8 0

Answer:

5m^6-10m^5-5m^4

Step-by-step explanation:

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Rule: y= 3 • x + 1

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2 years ago
Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D?
Bad White [126]

Answer:

5

Step-by-step explanation:

Use the distance formula d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

insert the numbers into the formula d=\sqrt{(2+1)^2+(0-4)^2}

2+1=3 and 0-4=-4

3^2 =9 and -4^{2} = 1

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6 0
3 years ago
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Answer:

x+x+14=90

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8 0
2 years ago
Suppose the radius of a circle is 3 units what is the circumference
HACTEHA [7]

Answer:

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Step-by-step explanation:

The formula for finding the circumference of a circle is C=2\pi r, where C = circumference and r = radius. In this case, r=3, so after plugging that into C=2\pi r, we get:

C=2\pi r\\  = 2*\pi *3\\=6\pi

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8 0
3 years ago
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 12. Use the empirical rule t
MissTica

Answer:

A) 99.7% of people have an IQ between 64 and 136.

B) 5% of people have an IQ score less than 76 or greater than 124.

C) 16% of people have an IQ score greater than 112.

Step-by-step explanation:

The Empirical Rule tells us that, in a normal or 'bell-shaped' distribution, 68% of the data is one standard deviation from the mean, 95% of the data is two standard deviations from the mean, and 99.7% of the data is three standard deviations from the mean.

A) 64 and 136 are 3 standard deviations away from the mean, so 99.7% of people have an IQ between 64 and 136.

B) 76 and 124 are 2 standard devations away from the mean, but the answer is asking what percentage is not between them. 100% - 95% gives us 5%.

C) 112 is one standard deviation away from the mean. If we want to find the percentage greater, then we can do 100% - 50% (as 112 is to the left of the mean), then we can take half of 68 to get 34%, and after subtracting 50% and 34% from the 100%, we get 16%.

8 0
3 years ago
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