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guapka [62]
3 years ago
5

In Exercise 8.1.1, you learned the definition of direct and inverse variations, and then you practiced creating these variations

. Fill in the blanks with SOMETIMES, ALWAYS, or NEVER to complete each sentence.
Direct variations are ____ linear and _____ go through the origin.

Inverse variations are ____ linear and _____ go through the origin.

Mathematics
1 answer:
Zarrin [17]3 years ago
3 0

Step-by-step explanation:

  • Direct variations are ALWAYS linear and ALWAYS go through the origin.

Because y = kx is linear function and y = 0 when x = 0

  • Inverse variations are NEVER linear and NEVER go through the origin.

Because y = k/x is not a linear function and x is never zero as we can't divide by zero.

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Cos72cos130+sin72sin130
Setler [38]

Answer:

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Step-by-step explanation:

Just plug it in a calculator

3 0
3 years ago
Suppose a bowler claims that her bowling score is not equal to 150 points, on average. Several of her teammates do not believe h
Juliette [100K]

Answer:

The test statistic (z-score) of this one-mean hypothesis test is z=1.823.

Step-by-step explanation:

The null and alternative hypothesis are:

H_0: \mu=150\\\\H_a: \mu\neq 150

The significance level is 0.05.

The sample size is n=22.

The sample mean is M=157.

The standard deviation is 18.

The z-score can be calculated as:

z=\frac{M-\mu}{\sigma/\sqrt{n}}=\frac{157-150}{18/\sqrt{22}}  =\frac{7}{3.84} =1.823

The test statistic (z-score) of this one-mean hypothesis test is z=1.823.

4 0
4 years ago
The heights of some sunflowers are shown below.
deff fn [24]

Answer:

2 sunflowers

Step-by-step explanation:

Number of sunflowers that are 7 feet tall = 4

Number of sunflowers that are 5 1/2 feet tall = 2

4 - 2 = 2

8 0
3 years ago
Read 2 more answers
What is the distance between parallel lines whose equations are y = 2x + 7 and y = 2x – 3?
malfutka [58]

Answer:

The distance is \sqrt{20} or 2\sqrt{5}.

Step-by-step explanation:

Slope of parallel: 2

Slope of perpendicular: -1/2

Pick a point for y =2x + 7. For example (0,7)

Use the perpendicular slope to get to the other line to find the other point of y=2x-3. Look at the screenshot...I got (4,5).

Distance formula \sqrt{(x_{2}-x_{1} )^{2}+(y_{2} -y_{1})^2   }

Insert (0,7) and (4,5)

\sqrt{(0-4)^{2}+(7-5)^2   } = \sqrt{(-4)^{2}+(2)^2   } = \sqrt{(16)+(4)}  } = \sqrt{20}  = 2\sqrt{5}

6 0
3 years ago
7x-3y=2 5x+4y=-17 <br> i dont know how to solve this
Verdich [7]
(-1,-3)

Graph the equation and locate the intersection.
6 0
3 years ago
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