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bearhunter [10]
3 years ago
8

Decide whether the change is an increase or decrease and find the percent change?

Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0

Answer:

multiply the result by 100 to get a percentage.

Step-by-step explanation:

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5. Determine the formula for the following arithmetic sequence: 4, 7, 10, 13, ...
KengaRu [80]

Answer:

<h3>a_{n} = n + 3</h3>

Step-by-step explanation:

Each number increases by 3. Therefore, n+3.

7 0
3 years ago
STAR Co. provides paper to smaller companies whose volumes are not large enough to warrant dealing directly with the paper mill.
mamaluj [8]

Answer:

  see below

Step-by-step explanation:

In order for the problem to make sense, we have to assume typos in Patterns 2, 3, and 4. We suppose they should be (0, 0, 3, 10), (8, 0, 0, 4) and (2, 1, 2, 1).

If we let p, q, r, s, t represent the number of rolls cut to patterns 1 to 5, respectively, then we want ...

  minimize 10p +10q +4r +s +t . . . . . . . total trim loss

  subject to ...

     0p +0q +8r +2s +7t = 5672 . . . . . . number of 12-ft rolls

     6p +0q +0r +1s +1t = 1670 . . . . . . . . number of 15-ft rolls

     0p +3q +0r +2s +0t = 3200 . . . . . . number of 30-ft rolls

     p≥0, q≥0, r≥0, s≥0, t≥0

_____

The solution works out to be (p, q, r, s, t) = (1, 0, 253, 1600, 64) with a trim loss of 2686 feet (equivalent to 27 100-ft rolls).

Note that we have endeavored to fill the order exactly. We don't know if there are cut choices that would minimize loss further, but result in a few rolls extra of some width or another.

3 0
3 years ago
The standard form of the number 5, 976,000,000,000,000,000,000,000 is​
nirvana33 [79]

Answer:

5.976\times10^{24}

Step-by-step explanation:

<em>Standard form</em>, also called <em>scientific notation</em>, is a more compact way of writing very big or very small numbers. All numbers in scientific notation have the form

m\times10^b

where m is a number between 1 and 10, and b is an integer that represents how we've shifted the decimal point from the original number. For example, the number 23,000 in standard form would be written as 2.3 × 10⁴, since we have to shift the decimal point 4 places to the right to get back our original number.

We can turn 5,976,000,000,000,000,000,000,000 into a number between 1 and 10 by shifting the decimal 24 places to the left, giving us 5.976. We'll save that 24 as the exponent for our 10, giving us the final form

5.976\times10^{24}

5 0
3 years ago
Find the distance between A and B.<br> A) 7 units<br> B) 6 units<br> C) 5 units<br> 7 units
tatyana61 [14]
It’s 7 unites so I think it’s a
6 0
3 years ago
Read 2 more answers
A triangle has two sides measuring 16 and 21. The included angle is 116°. What is the length of the side opposite the 116° angle
Crank

Answer:

Length of the side opposite to angle 116^{\circ} is 31.49

Step-by-step explanation:

Included angle can be defined as the angle in between two sides of the triangle.

So angle 116^{\circ} is in between sides 16 and 21.

Refer to the attachment for triangle diagram.

To find the length of opposite side, use cosine rule as follows

a^{2}=b^{2}+c^{2}-2\:b\:c\cos\left(A\right)

From the diagram, b = 21,c = 16,\angle A=116^{\circ}

Substituting the values in the formula,

a^{2}=\left(21\right)^{2}+\left(16\right)^{2}-2\left(21\right)\left(16\right)\cos\left(116\right)

Simplifying,

a^{2}=441+256-225792\left(-0.44\right)

a^{2}=991.59

Taking square root on both sides,

\sqrt{a^{2}}=\sqrt{991.59}

a=31.49

Therefore length of third side is 31.49

7 0
3 years ago
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