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lord [1]
3 years ago
12

The product of 3 and the square of g equals the sum of thirty and the product of nine and g.

Mathematics
1 answer:
DaniilM [7]3 years ago
8 0

3g^2 = 30+9g

___________

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Students standing in line for a theme park were surveyed about their favorite ride. Their responses are shown below. If one stud
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Answer:

H is the answer

Step-by-step explanation:

14 is 1/2 of 28

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Which equation represents the line that passes through the points (2,7) and (1,5)
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Answer:

First we get the slope of line with points (2,3) & (1,5):

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29

m=%285-3%29%2F%281-2%29=2%2F%28-1%29

m=-2, slope

Knowing the slop, we can get the intercept in point (1,1):

y=mx%2Bb, SLOPE- INTERCEPT

1=-2%281%29%2Bb

b=1%2B2=3

so, the eqn of the line: highlight%28y=-2x%2B3%29

The line with points (2,3) & (1,5): same slope because parallel, we'll check

 

VIA POINT SLOPE FORM:

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29

m=%285-3%29%2F%281-2%29=2%2F-1 ----> m=-2, same right?

For the intercept thru pints (2,3):

Via SLOPE INTERCEPT FORM, we pick points (2,3)

3=-2%282%29%2Bb

b=3%2B4=7 ----> y intercept. The same value if you pick points (1,5).

Eqn of line: y=-2x%2B7 (Green line) parallel to y=-2x%2B3 (Red line)

See the graph,

--- see red line, it passes at point (1,1). Also green line passes points (2,3) & (1,5)

Step-by-step explanation:

5 0
3 years ago
The duration of routine operations in a certain hospital has approximately a normal distribution with an
kakasveta [241]

Answer:  The percentage of operations last longer  than 138 minutes =15.87%

Step-by-step explanation:

Let x denotes the duration of routine operations in a certain hospital.

Given: The duration of routine operations has approximately a normal distribution with \mu = 120 minutes and \sigma= 18 minutes.

The probability that operations last longer  than 138 minutes = P(X>138)

=P(\dfrac{X-\mu}{\sigma}>\dfrac{138-120}{18})\\\\=P(Z>1)\ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z

The percentage of operations last longer  than 138 minutes =15.87%

5 0
3 years ago
What is the best approximation for the area of this circle?
xz_007 [3.2K]
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As the radius length is 4 and the problem has told you to use 3.14 for pi, you can substitute in these values in the formula.

Area = 3.14 × 4^{2}

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The correct answer is c, <span>50.2 m²</span>
6 0
4 years ago
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