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3 years ago

If a soccer ball hits a net with a force of 12 N, the net exerts a force of ____ back on the soccer ball. 0 N 6 N 12 N 24 N

Mathematics

1 answer:

svetlana [45]3 years ago

7 0

Answer:

12 N

Explanation:

The concept of this question is based on Newton's third law

This law states that:

"For every action there is a reaction that is equal in magnitude but opposite in direction"

The equation representing this law is:

F₁₂ = -F₂₁

Now, for the given problem:

We have that the ball exerted a force of 12 N on the net

Applying the above law, the net would exert a force of equal magnitude and opposite direction to that of the ball

Therefore, the net will exert a force of 12 N on the ball

Hope this helps :)

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How can I turn -4/slope ,0/y-intercept into a slope intercept form equation

Rainbow [258]

Answer:

y = - 4x

Step-by-step explanation:

Here, it is given that the slope of a line is - 4 and the y-intercept is 0.

Now, if the slope of a straight line is m and the y-axis intercept is c, the by slope-intercept form the equation of the straight line is given as

y = mx + c ......... (1)

Therefore, in our case m = - 4 and c = 0 and using equation (1), the equation of the given straight line is

y = - 4x (Answer)

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The health insurance company that insured Peter pays 80% of nutritional counseling after Peter pays a $50 deductible the cost of

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Answer:

Peter will pay:

$50 deductible
20% x ($1,060 - $50) = $202
total $252

the insurance company will pay:

(total counseling cost - deductible) x 80% = ($1,060 - $50) x 80% = $808

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3 years ago

A local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle. In o

Mandarinka [93]

Answer:

(a) Null Hypothesis, $H_0$ : $\mu$ = 22 ounces

Alternate Hypothesis, $H_A$ : $\mu\neq$ 22 ounces

(b) The value of the test statistic is -2.687.

(c) The critical values are -1.96 and 1.96.

(d) We conclude that Reject $H_0$ since the value of the test statistic is less than the negative critical value.

Step-by-step explanation:

We are given that a local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle.

He takes a random sample of 65 bottles. The mean weight of the passion fruit juice in the sample is 21.54 ounces. Assume that the population standard deviation is 1.38 ounce.

Let $\mu$ = average ounces of passion fruit juice used to fill each bottle.

(a) So, Null Hypothesis, $H_0$ : $\mu$ = 22 ounces {means that the average of 22 ounces of passion fruit juice is used to fill each bottle}

Alternate Hypothesis, $H_A$ : $\mu\neq$ 22 ounces {means that the average different from 22 ounces of passion fruit juice is used to fill each bottle}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean weight of the passion fruit juice = 21.54 ounces

$\sigma$ = population standard deviation = 1.38 ounce

n = sample of bottles = 65

So, test statistics = $\frac{21.54-22}{\frac{1.38}{\sqrt{65} } }$

= -2.687

(b) The value of z test statistics is -2.687.

(c) Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

Since our test statistics does not lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that Reject $H_0$ since the value of the test statistic is less than the negative critical value which means that the average different from 22 ounces of passion fruit juice is used to fill each bottle.

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3 years ago

SOLVE ATTACHMENT 30 POINTS!!!!!!

Masteriza [31]

Answer:

Step-by-step explanation:

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Multiply through by 6 to eliminate the fraction

That's

$- 18 {f}^{3} + MB = 6D$

Move - 18f³ to the right side of the equation

That's

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Divide both sides by M to make B stand alone

That's

$\frac{MB}{M} = \frac{6D + 18 {f}^{3} }{M}$

We have the final answer as

$B = \frac{6D + 18 {f}^{3} }{M}$

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