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3 years ago

A circle has a circumference of 144π. What is the radius of the circle?

1 answer:

5 0

To find the circumference of a circle you have to multiple the radius by 2 and also by pi. So, to find the radius when given just the circumference, who have to do the reverse operation and divide the circumference by 2 and also by pi to get the answer of 22.92993631, which you could of course round.

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Z1 =3+4i and z2=4+3i then what is the relation of z1 and z2?

harkovskaia [24]

Answer:

ANSWER

=3+4i

=−4+3i

z=z

∴z=(3+4i)+(−4+3i)

∴z=(−1+7i)

∴∣z∣=5

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

1)Why is it impossible for a function to have fewer values in its domain than in its range?

Aneli [31]

Part (1):

For a relation to be called a function, each input must have one and only one corresponding output.

Now, we know that the input of the relation is known as its domain while the output is known as its range.

Based on the above definition, each input (value from domain) has only one output (value from range)

Therefore, the values for domain and range are equal, otherwise, the relation won't be a function

Part (2):

The graph of the function is shown in the attached image.

Now, a linear function:

1- is a straight line. This means that it has neither curved nor sharped bends.

In the graph of the given function, we can see that it has a sharp bend at the point (5,0)

2- has a constant slope all over the graph.

Let's test this condition on our graph:

For the two points (0,5) and (1,4):

slope = $\frac{4-5}{1-0} = -1$

For the two points (6,1) and (7,2):

slope = $\frac{2-1}{7-6} = 1$

We can see that the slope is not constant along the whole graph.

Based on the above two conditions, the absolute function is not a linear function

Part(3):

There are two types of proportionality:

1- Direct proportionality: This means that as one value increases, the other would increase at the same rate

Let's check this on the given function:

f (x) = -3x

At x = 1 ..........> f (x) = -3(1) = -3

At x = 2 .........> f (x) = -3(2) = -6

We can note that the condition of direct proportionality is not fulfilled, therefore, the relation is not showing direct proportionality

2- Inverse proportionality: This means that as one value increases, the other would decrease by the same rate.

Inverse proportionality has the general formula: y = $\frac{k}{x}$

where k is the constant of proportionality.

The given function is: f (x) = -3x

We can note that it does not have the same format as the general formula of the inverse proportionality.

Therefore, the given relation does not show inverse proportionality

Based on the above, we can conclude that the given relation is non-proportional

Part (4):

The graphs are shown in the second attached image

Let's check the givens:

1) y = 9

We know that this would be a line parallel to the x-axis constant at y = 9

Therefore, this choice is correct

2) -2x² + 4

We know that the second degree polynomial gives a curve not a line.

Therefore, this choice is incorrect

3) y = -8 + 3

The general form of the linear line is y = mx + b

The given equation has the same format as the general one.

Therefore, this choice is correct

4) y = 7/x

Again, the general form of the linear line is y = mx + b

The given equation has the a different format than the general one.

Therefore, this choice is incorrect

Hope this helps :)

7 0

3 years ago

My question is what is 57=25+8x

KATRIN_1 [288]

Answer: X=4

Step-by-step explanation: distribute by subtracting 25 from both sides giving you 32=8X and then divide by 8 on both sides to get 4. Hope that helps

4 0

3 years ago

Read 2 more answers

According to a study conducted by an organization, the proportion of americans who were afraid to fly in 2006 was 0. 10. A rand

algol13

According to the the concept of hypothesis testing, there is no evidence that the proportion of Americans who are afraid to fly has decreased.

Hypothesis testing:

Basically, in math hypothesis, it test the population on the basis of the sample data taken from the population using a simple random sampling.

Given,

According to a study conducted by an organization, the proportion of Americans who were afraid to fly in 2006 was 0. 10. A random sample of 1300 Americans results in 117 indicating that they are afraid to fly.

Now, we need to explain why this is not necessarily evidence that the proportion of Americans who are afraid to fly has.

While we looking into the given question,

Sample size, n = 1300

Number of Americans who were afraid to fly, x = 117

Now, we have to computing the sample proportion of Americans who afraid to fly,

Therefore, p = 117 / 1300 = 0.09

Then the Formulation of Hypotheses is written as,

Here the Null Hypothesis: H0: p≥0.10

And the alternative Hypothesis: Ha: p<0.10

Then the Left-tailed test of Test statistic is written as,

Here Let us assume that the level of significance, α = 0.05.

Then the Critical value, z≈−1.645