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spayn [35]
3 years ago
15

Is the sum of two integers always greater than the difference between them? Why or why not?

Mathematics
1 answer:
Sauron [17]3 years ago
4 0
Yes because the gap is one less than the bigger of the two integers, plus you are adding a little bit more to the bigger integer so the sum will always be bigger than the difference.
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Find the length of side x in simplest radical form with a rational denominator.60°130°X
iren [92.7K]

We will solve using the law of sines as follows:

\frac{1}{\sin(30)}=\frac{X}{\sin (60)}

Now, we solve for X:

\Rightarrow X=\frac{\sin(60)}{\sin(30)}\Rightarrow X=\sqrt[]{3}

So, the length of X is sqrt(3).

5 0
1 year ago
A study of commuting times reports the travel times to work of a random sample of 20 employed adults in New York State. The mean
Elodia [21]

Answer:

The standard error of the mean = 5.14 mins

Step-by-step explanation:

Number of random sample (n) = 20

Mean(X) = 31.25 mins

Standard deviation (α) = 23.7 mins

Standard error of mean =

standard deviation / √sample size

= 23.7/√20

= 23.7/4.4721

= 5.14 mins

5 0
4 years ago
Which statement could be used to conclude that this parallelogram is a rhombus?
BaLLatris [955]
A parallelogram is a quadrilateral with two opposite sides equal in lengths while a rhombus is a parallelogram with the two sets of opposite sides equal to each other. A rhombus forms perpendicular bisectors when <span>diagonals are intersected with each other. Answer then is A</span>
7 0
4 years ago
Read 2 more answers
A tepee is designed to have a diameter of 10 ft and a volume of 393 ft. At
Citrus2011 [14]

Answer:

15 ft.

Step-by-step explanation:

The tepee is a cone and its volume

= 1/3 pi r^2 h   where r = radius and h = height.

The radius r = 1/2 * 10 = 5 ft.

So we have the equation:

393 = 1/3*3.14* 5^2 * h

h = 393 / (1/3*3.14*25)

=  15.02 ft.

7 0
3 years ago
if f(1) = -5 and f(n) = f(n-1) +7, find the first four terms and the common difference of the sequence
Alex_Xolod [135]

Answer:

- 5, 2, 9, 16 and d = + 7

Step-by-step explanation:

to obtain the first four terms substitute n = 2, 3, 4 into the recursive formula

f(1) = - 5 ← given

f(2) = f(1) + 7 = - 5 + 7 = 2

f(3) = f(2) + 7 = 2 + 7 = 9

f(4) = f(3) + 7 = 9 + 7 = 16

common difference d = 16 - 9 = 9 - 2 = 2 - (- 5) = 7



6 0
3 years ago
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