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Soloha48 [4]
3 years ago
6

A ball of mass 0.4 kg flies through the air at low speed, so that air resistance is negligible. What is the net force acting on

the ball while it is in motion?
Mathematics
1 answer:
arsen [322]3 years ago
6 0

Answer:

-3.92 N

Step-by-step explanation:

We are given that

Mass of ball=0.4 kg

Acceleration due to gravity=-9.8m/s^2

Because the ball flies against to gravity

We have to find the net force acting on the ball while it is in motion.

We know that when there is no air resistance then the net  force acts on the ball is equal to weight of ball.

Net force,F =mg

Substitute the values then we get

F=0.4(-9.8)

F=-3.92N

Hence, the net force acting on the ball while it is on motion=-3.92 N

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Breann solved the system of equations below. What mistake did she make in her work? 2x + y = 5 x − 2y = 10 y = 5 − 2x x − 2(5 −
goldfiish [28.3K]

Answer:

No mistake

Step-by-step explanation:

2x + y = 5

x - 2y = 10

y = 5 - 2x

x - 2(5 - 2x) = 10

x - 10 + 4x = 10

5x - 10 = 10

5x = 20

x = 4

2(4) + y = 5

y =  -3

She made no mistake

You can check by plugging in x = 4 and y = -3 into the original equations . They fit exactly.


5 0
4 years ago
Maria has baked a cake for Cathy's birthday. The dimensions of the cake are 13 1/2 inches by 6 3/4 inches. The cake is going to
ycow [4]

Answer:

Step-by-step explanation:

Given:

Length = 27/4 in

Width = 27/2 in

5.55% of the cake = 5.55/100

= 1/18 

Therefore, 18 equal squares of cake where 1 piece is 5.55 % of the cake

Since, the cake is twice as long as it is wide, so that means cut half the cake (27/4 × 27/4) into 9 pieces.

Therefore, each has a side of 1/3 * 27/4

= 9/4 inches.

8 0
3 years ago
Find the equation for a polynomial f(x) that satisfies the following:
denis-greek [22]

Answer:

f(x) = 1/2(4 - x)(x - 1)(x - 2)

Step-by-step explanation:

Considering zero's and a coefficient, the function is:

f(x) = a(x - 4)(x - 1)(x - 2)

Considering y-intercept:

f(0) = a(0 - 4)(0 - 1)(0 - 2)

4 = a(-4)(-1)(-2)

4 = -8a

a = -1/2

So the function is:

f(x) = -1/2(x - 4)(x - 1)(x - 2) = 1/2(4 - x)(x - 1)(x - 2)

3 0
3 years ago
Find the value of x <br> A) 6.0<br> B) 7.7<br> C) 60<br> D) 12
galben [10]

Answer:

D 12

Step-by-step explanation:

The product of the lengths of the segments of one chord equal the product of the segments of the other.

x*4 = 6*8

4x = 48

Divide each side by 4

4x/4 = 48/4

x = 12

4 0
3 years ago
A market research team thinks that their new ad campaign is better than their old one. They used to be able to sell to 50% of th
andreev551 [17]

Answer:

a. The test statistic is 2 and we conclude that the new ad campaign is not signficantly better.

Step-by-step explanation:

They used to be able to sell to 50% of those who saw their ads. Test if the new campaign is better.

At the null hypothesis, we test is it is the same, that is, the proportion is the same.

H_0: p = 0.5

At the alternate hypothesis, we test if it is significantly better, that is, the proportion is above 50%.

H_1: p > 0.5

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that \mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5

They take a random sample of 100 potential buyers and find that they convinced 60 of these people to buy their product.

This means that n = 100, X = \frac{60}{100} = 0.6

Test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.6 - 0.5}{\frac{0.5}{\sqrt{100}}}

z = 2

The test statistic is 2.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted the by p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

The p-value of the test is 0.0228 > 0.01, which means that we cannot conclude that the new ad campaign is signficantly better, so the correct answer is given by option A.

5 0
3 years ago
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