<span>Let be A =a3b +9a2b2-4ab5, and B=a3b-3a2b2+ab5,so the difference can be defined as A - B =a3b +9a2b2-4ab5 -(a3b-3a2b2+ab5), when there is negative sign in front of the parathesis, all the inside signs must change: that is as follow: A- B= a3b +9a2b2-4ab5 - a3b + 3a2b2 - ab5= a3b-a3b +9a2b2+3a2b2-4ab5- ab5= 12a2b2 -5ab5, the fist term has 2+2=4, as a degree,the second term has 1 +5 =6, so the true answer : The difference is a binomial with a degree of 6</span>
Answer: B) 4
Step-by-step explanation:
Using the formula
Standard deviation = √( (Σ ( x - π)²)/n)
To get the standard deviation, first we workout the Mean which is the simple average of the data set
n = 4
(13 + 17 + 9 + 21) / 4 = 60/4 = 15
Mean(x) = 15
Then (x-π)²
13 - 15 = (-2)² = 4
17 - 15 = (2)² = 4
9 - 15 = (-6)² = 36
21 - 15 = (6)² = 36
Σ ( x - π)² = (4 + 4 + 36 + 36) = 80
Standard deviation = √( (Σ ( x - π)²)/n
= √ (80/4)
=√20
= 4.47
= 4
Answer:
- B. On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.
Step-by-step explanation:
<u>Graph of the function:</u>
The domain is x ≥ 0, the range y ≤ 1
Correct answer choice is B
- On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.
<em>The graph is attached</em>
The formula for the area of a parallelogram is base times height or bh.
There's a formula sheet on Khan Academy:
https://www.khanacademy.org/math/basic-geo/basic-geo-area-and-perimeter/parallelogram-area/a/area-of...
Scale:
1 cm : 6 inches
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Length of the aquarium:
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5 feet = 5 x 12 = 60 inches
60 ÷ 6 = 10
The length will be 10 cm on the scale drawing.
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Width of the aquarium:
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2 feet = 2 x 12 = 24 inches
24 ÷ 6 = 4
The width will be 4 cm on the scale drawing.
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Find Perimeter:
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Perimeter = 2 (length + width)
Perimeter = 2( 10 + 4 )
Perimeter = 28 cm
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Answer: The perimeter of the scale drawing of the front face is 28 cm.--------------------------------------------------------------------------------------------------
