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2 years ago

What are the solutions to the nonlinear system of equations below? Check all that apply.

1 answer:

3 0

Y = 4x
x² + y² = 17

    x² + y² = 17
x² + (4x)² = 17
x² + 16x² = 17
   17x² = 17
      17      17
       x² = ±1

y = 4x
y = 4(-1)
y = -4
(x, y) = (-1, -4)

y = 4x
y = 4(1)
y = 4
(x, y) = (1, 4)

(x, y) = (±1, ±4) = (1, 4) and (-1, -4)

The answer is equal to C and D.

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Stacy hits the jackpot one day at the gumball machine. She puts in a quarter and gets 444 gumballs rather than 111. The radius o

inn [45]

Answer: 3617.28 cubic millimeters.

Step-by-step explanation: I used the formula of a sphere since a gumball is a shape of a sphere and plugged the radius into the formula.

I got that the volume of a single gumball is 288π cubic millimeters.

Since there are 4 gumballs, i multiplied the volume by 4.

The total volume of the four gumballs add up to be 1152π .

Lastly, I multiplied 1152 by pi

and got the answer to be 3617.28 cubic millimeters

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3 years ago

The following table gives results from two groups of students who took a nonproctored test. Use a 0.01 significance level to tes

Nana76 [90]

Answer:

Original claim is $\mu_{1} =\mu_{2}$

Opposite claim is $\mu_{1} \neq \mu_{2}$

Null and alternative hypotheses:

$H_{0}:\mu_{1} = \mu_{2}$

$H_{1} : \mu_{1} \neq \mu_{2}$

Significance level: 0.01

Test statistic:

We can use TI-84 calculator to find the test statistic and P-value. The steps are as follows:

Press STAT and the scroll right to TESTS

Scroll down to 2-SampTTest... and scroll to stats.

Enter below information.

$\bar{x_{1}}=70.29$

$Sx1=22.09$

$n_{1} = 30$

$\bar{x_{2}}=74.26$

$Sx2=18.15$

$n_{2} = 32$

$\mu_{1} \neq \mu_{2}$

Pooled: Yes

Calculate.

The output is in the attachment.

Therefore, the test statistic is:

$t=-0.78$

P-value: 0.4412

Reject or fail to reject: Fail to reject

Final Conclusion: Since the p-value is greater than the significance level, we, therefore, fail to reject the null hypothesis and conclude that the there is sufficient evidence to support the claim that the samples are from populations with the same mean.

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2 years ago

Express the given logarithm in terms of common logarithms. Then approximate its value to four decimal places.

zhannawk [14.2K]

Answer:

3.4594

Step-by-step explanation:

To change the base of a logarithm

• $log_{b}$ x = $\frac{log_{c}x }{log_{c}b }$

where c represents the new base

Changing the base from 2 to 10

$log_{2}$ 11 = $\frac{log_{10}11 }{log_{10}2 }$ ≈ 3.4594

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3 years ago

I need to know the answer to this?

iris [78.8K]

Answer:

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2 years ago

The diagram shows rays of light from a point source, P, that reach a detector, D, along two paths. One path is a straight line,

tatiyna

This can solved using the cosine law which is:
c² = a² + b² - 2ab cos θ
Using the values given from the problem
6² = b² + b² - 2bb cos 112.62
And solving for b
36 = 2b² - 2b² cos 112.62
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The answer is the 3rd option.

8 0

2 years ago

Read 2 more answers