Answer: The required point = (1.857,8.643)
Step-by-step explanation:
Equation of circle with center (h,k) and radius r: 
Given: Radius = 5 , center = (0,4)
Eqation of circle: 

[Using equation y = 2.5 x + 4 ]







Hence, the required point = (1.857,8.643)
Answer:
I do know that y = 3 and that x = -2, so any system that has that solution is correct.
Step-by-step explanation:
Multiplying the second equation by -2 and adding the equations will cancel out the x variable. The remaining equation is:
10y = 30. Therefore, y must be 3. Substituting y in for the first equation, we get:
6x + 6 = -6. That means x must be -2. I checked my work with the second equation:
-6 - 12 = -18.
The system results in a true statement, so the answer is y = 3 and x = -2.
Answer:
3.00312839
Step-by-step explanation:
Volume of a cylinder= piR^2h
In this case we need to find the radius.
r=
=
= 3.00313in
:)
Answer:
<h2>396 dollars</h2>
Step-by-step explanation:


Hope I helped, if you have any questions please let me know! Brainliest is always Appreciated!
Answer:
We conclude that the plant should shut down.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 60
Sample mean,
= 61.498
Sample size, n = 100
Alpha, α = 0.05
Population standard deviation, σ = 6
a) First, we design the null and the alternate hypothesis such that the power plant will be shut down when the null hypothesis is rejected.
We use One-tailed(right) z test to perform this hypothesis.
b) Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.
Calculating the p-value from the z-table:
P-value = 0.0063
Since,
P-value < Significance level
We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.