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Kamila [148]
2 years ago
14

If a 40,000g cannon ball is 35m above the Earth’s surface, how much potential energy does the cannon ball have?

Mathematics
1 answer:
ELEN [110]2 years ago
4 0

Answer:

Step-by-step explanation:

Remark

You could do this by converting the distance but the much more common way is to use kg and m.

Formula

PE = m * g * h

Givens

m = 40000 grams

m = 40000 grams * 1kg/1000 grams = 40 kg

g = 9.81

h = 35 m

Solution

PE = 40 * 9.81 * 35

PE = 13734 Joules

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The difference between 8 forty-sevens and 7 forty-sevens.
jolli1 [7]

Answer:

47

Step-by-step explanation:

No matter what number you do if there is one left then it's that number

So dif between 8 and 7 is 1

1*47 = 47

5 0
1 year ago
Bob newds to mix 2 cups of orange juice concentrate with 3.5 cups of water to make orange juice.Bobvhas 6 cups of concentrate.Ho
aivan3 [116]
So, Bob needs 2 cups of concentrate (I'll use the variable c to shorten it) for every 3.5 cups of water (w). When he has 6 cups of c, he has three times the original recipe, and therefore we need 3w as well. 

3.5x2=6+1=7. So we need 7 cups of water.

Now, 6 cups of concentrate + 7 cups of water = 13 cups of orange juice.

Bob can make 13 cups of orange juice.

Hope I helped!
8 0
2 years ago
Which of the following statements are true concerning the mean of the differences between two dependent samples​ (matched pairs)
elena-s [515]

Answer:

A and C

Step-by-step explanation:

A paired t-test is used to compare two population means where you have two samples in  which observations in one sample can be paired with observations in the other sample. For example  if we have Before-and-after observations we can use it.  

And in order to conduct it we need to have some assumptions:

1) The dependent variable must be continuous (interval/ratio).

2) The observations are independent of one another.

3) The dependent variable should be approximately normally distributed.

4) The dependent variable should not contain any outliers.

Let's analyze one by one the options on this case:

A. The methods used to evaluate the mean of the differences between two dependent variables apply if one has 86 IQ scores of taxpayers from Texas and 86 IQ scores of taxpayers from Ohio

We can assume that is true since the two variables are dependent and we are assuming that all the other conditions are satisfied to use the t paired test.

B. The requirement of a simple random sample is satisfied if we have matched pairs of voluntary response data.

That's not neccesary true since is not a requirement in order to use the t pairedtest.

C. If one has more than 23 matched pairs of sample​ data, one can consider the sample to be large and there is no need to check for normality.

We can assume that is true since we need to ensure normality in order to apply the test and if the sample size is large enough large we can apply the test.

D. If one has twenty matched pairs of sample​ data, there is a loose requirement that the twenty differences appear to be from a normally distributed population.

False the requirement of normality is important to apply the test not a loose requirement.

E. If one wants to use a confidence interval to test the claim that mu Subscript d Baseline greater than 0 with a 0.01 significance​ level, the confidence interval should have a confidence level of 98​%.

That's not correct the significance level is \alpha=1-0.98=0.02 and that not correspond to the significance level given on this case.

7 0
1 year ago
Max finds the product 3/7 x 6. Which statement is true?
Mariulka [41]
The correct answer is choice B. When you are multiplying anything by a value greater than one, the answer you get will always be bigger than what you started with.

The reason lies with in the concept of multiplication.

If you have more than one group of something, you will have more than what you started with.
3 0
2 years ago
Find the sum of the first 30 terms of the sequence below an=3n+2
Solnce55 [7]
First off, let's find the 1st term's value, and the 30th term's value,

\bf a1=3(1)+2\implies a1=5\qquad \qquad \quad   a30=3(30)+2\implies a30=92\\\\
-------------------------------\\\\
~~~~~~~\textit{ Sum of an arithmetic sequence}\\\\
S_n=\cfrac{n(a1+an)}{2}~ 
\begin{cases}
n=n^{th}\ term\\
a1=\textit{first term's value}\\
----------\\
a1=5\\
a30=92\\
n=30
\end{cases} \implies S_{30}=\cfrac{30(5+92)}{2}
\\\\\\
S_{30}=15(97)
6 0
2 years ago
Read 2 more answers
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