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Artemon [7]
3 years ago
12

Which of the following equations correctly represents a circle centered at the origin with a radius of 10?

Mathematics
1 answer:
IgorLugansk [536]3 years ago
5 0

We need only focus on the standard equation of a circle centered at the origin with radius r: x^2 + y^2 = r^2. Here, r = 10 and so r^2 = 100.

Thus, in this case, the equation of the circle is x^2 + y^2 = 10^2.

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Can somebody explain to me how they got 3^4(x) = 3^3(x+2)? Then explain what happened to the 3 in 3^4 and the 3 in 3^3? Please a
musickatia [10]

Answer:

x=6

Step-by-step explanation:

81^x = 27 ^(x+2)

81 = 3^4    and 27 =3^3  so replace 81 and 27 in the equation

3^4^x = 3^3^(x+2)

When we have a power to a power we can multiply the exponents

a ^b^c = a^(b*c)

3^(4x) = 3^(3*(x+2))

Since the bases are the same, the exponents  have to be the same

a^b = a^c   means b=c

4x = 3(x+2)

Now we can solve for x

Distribute

4x = 3x+6

Subtract 3x from each side

4x-3x = 3x-3x+6

x = 6

3 0
3 years ago
Can someone help me? :(
Aneli [31]

Answer:

Silicone rubber is used.

6 0
3 years ago
Read 2 more answers
I need help with 5 and 7
Thepotemich [5.8K]
I can't see them all the way
3 0
3 years ago
The Genetics & IVF Institute conducted a clinical trial of the YSORT method designed to increase the probability of conceivi
Reika [66]

Answer: The test statistic needed to test this claim= 10.92

Step-by-step explanation:

We know that the probability of giving birth to a boy : p= 0.5

i..e The population proportion of giving birth to a boy =  0.5

As per given , we have

Null hypothesis : H_0: p\leq0.5

Alternative hypothesis :  H_a: p>0.5

Since H_a is right-tailed , so the hypothesis test is a right-tailed z-test.

Also, it is given that , the sample size : n= 291

Sample proportion: \hat{p}=\dfrac{239}{291}\approx0.82

Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}} , where n is sample size ,  \hat{p} is sample proportion and p is the population proportion.

\Rightarrow\ z=\dfrac{0.82-0.5}{\sqrt{\dfrac{0.5(1-0.5)}{291}}}\approx10.92

i.e. the test statistic needed to test this claim= 10.92

Critical value ( one-tailed) for  0.01 significance level = z_{0.01}=2.326

Decision : Since Test statistic value (10.92)> Critical value (2.326), so we reject the null hypothesis .

[When test statistic value is greater than the critical value , then we reject the null hypothesis.]

Thus , we concluded that we have enough evidence at 0.01 significance level to support the claim that the YSORT method is effective in increasing the likelihood that a baby will be a boy.

7 0
3 years ago
I need to simplify this expression : 6• (10•k)
Temka [501]

Answer:

6 x 10= 60

60/2=30

Answer is<u> 30</u> i think

Step-by-step explanation:

7 0
3 years ago
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