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n200080 [17]
3 years ago
15

13/18 - 5/8 in simplest form Help!

Mathematics
1 answer:
sdas [7]3 years ago
6 0

Answer:

7÷72

Step-by-step explanation:

First take lcm of the denominator

Then solve

(13*4-5*9)/73

52-45/72

7/72

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Answer:

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Step-by-step explanation:

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If ∠1 and ∠2 are vertical angles and m∠2=108°, find m∠1.
marysya [2.9K]

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5 0
3 years ago
The number of salmon swimming upstream to spawn is approximated by the following function:
umka2103 [35]

Answer:

The water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.

Step-by-step explanation:

Let S(x) = -x^{3}+2\cdot x^{2}+405\cdot x +4965, for 6 \leq x \leq 20. x represents the temperature of the water, measured in degrees Celsius, and S is the number of salmon swimming upstream to spawn, dimensionless.

We compute the first and second derivatives of the function:

S'(x) = -3\cdot x^{2}+4\cdot x +405 (Eq. 1)

S''(x) = -6\cdot x +4 (Eq. 2)

Then we equalize (Eq. 1) to zero and solve for x:

-3\cdot x^{2}+4\cdot x +405 = 0

And all roots are found by Quadratic Formula:

x_{1} \approx 12.305\,^{\circ}C, x_{2}\approx -10.971\,^{\circ}C

Only the first root is inside the given interval of the function. Hence, the correct answer is:

x \approx 12.305\,^{\circ}C

Now we evaluate the second derivative at given result. That is:

S''(12.305) = -6\cdot (12.305)+4

S''(12.305) = -69.83

According to the Second Derivative Test, a negative value means that critical value leads to a maximum. In consequence, the water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.

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3 years ago
Danielle needs to walk 2.5 miles. If she wants to reach her destination in 30 minutes (1/2hour), how fast does she need to walk?
shepuryov [24]
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2.5
------ = 5 mph
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3 years ago
If
Arte-miy333 [17]

Answer:ddddd

Step-by-step explanation:

ddddddd

8 0
3 years ago
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