Answer:
Step-by-step explanation:
In order to combine like terms, you have to isolate x and y from one side of the equation.

<u>First, thing you do is remove parentheses.</u>

<u>Solve.</u>
<u>Then, you combine like terms.</u>

<u>Add/subtract the numbers from left to right.</u>
-8z+3.5z=-4.5z
<u>Rewrite the problem down.</u>

<u>Solve.</u>
4.5-1.5=3

- <u>Therefore, the correct answer is 7y+3-4.5z.</u>
I hope this helps, let me know if you have any questions.
Answer:

Step-by-step explanation:
In order to solve this problem we can make use of the following formula:

where θ is the total angle the basket has turned, ω is the angular velocity and t is the time.
Generally theta is written in radians and omega is written in radians per second. Now, since the revolutions are directly related to the radians and they want us to write our answer in revolutions, we can directly use the provided speeds in the formula, so we can rewrite it as:

where n represents the number of revolutions and f is the frequency at which the basket is turning.
The movement of the cylindrial basket can be split in two stages, when it accelerates and when it decelerates. So let's analye the first stage:

and now let's analyze the second stage, where it decelerates, so we get:

So now that we know how many revolutions the cylindrical basket will take as it accelerates and as it decelerates we can add them to get:
n=18rev+26rev=44rev
So the basket will turn a total of 44 revolutions during this 22s interval.
Answer:
See ecplanation below
Step-by-step explanation:
False.
On the Data analysis tool from excel we can conduct the following procedures:
Anova: Single Factor
Anova: Two factor with replication
Anova: Two factor without replication
Correlation
Covariance
Descriptive statistics
Exponential smoothing
F-test Two sample for Variances
Fourier analysis
Histogram
Moving Average
Random number generation
Rank and percentile
Regression
Sampling
t test: Paired two sample for means
t tes: Two sample assuming equal variances
t test: Two sample Assuming Unequal Variances
z test: Two sample for means
And as we can see we don't have an specific procedure just to obtain confidence interval for the difference of proportions. We need to remember that if we select a z test in excel, for example the output will contain the confidence associated to the parameter, but for this case is not too easy obtain a confidence interval for the difference of proportion like on a statistical software as (Minitab, R, SAS, etc) since all of these statistical softwares are elaborated in order to conduct all the possible statistical tests and confidence intervals for parameters of interest.
Answer:
Step-by-step explanation:
300 miles
125/2.5= 50 miles per hour
50*6=300
Answer:
B
Step-by-step explanation:
[z^4/6²]^-3 = z^-12/6^-6 = 6^6/z^12