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2 years ago

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Mathematics

2 answers:

krok68 [10]2 years ago

7 0

Answer:

1. x=-6

2. x=12

3. x=8

4. x=-21

5. x=-18

6. x=-2

7. x=10

8. x=-3

9. x=21

10. x=2

11. x=-18

12. x=-7

13. x=6

14. x=-10

15. x=3

Step-by-step explanation:

Whew! That took a long time. I hope the answers are correct! The negatives may be hard to see, though. Comment on this answer if you can't see them.

mafiozo [28]2 years ago

7 0

Answer:

1) x=-6

Step-by-step explanation:

1) -7x+16=58

-7x=42

this is all I can help you with :) you should be able to do this.

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A triangular playground has angles with measures in the ratio 8 : 6 : 4. What is the measure of the smallest angle?

Airida [17]

Answer:

20°

Step-by-step explanation:

One way of doing this is to find the constant of proportionality, k:

8k + 6k + 4k = 90° Then 18k = 90°, and k turns out to be 90/18, or 5.

Then the angles are 8(5), 6(5) and 4(5). The smallest of these angles is thus 20°

8 0

3 years ago

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A Ferris wheel has a radius of 80 feet. Two particular cars are located such that the central angle between them is 165º. To the

Alex

Answer: 230.4 feet

Step-by-step explanation:

arc length = circumfrance x fraction of a circle

= $2\pi r$ x $\frac{165}{360}$

= $\frac{2*\pi *80*165 }{360}$

= 230.4 feet to nearest tenth

7 0

2 years ago

How would I do the steps to solve this?

allsm [11]

Answer:

The maximum revenue is 16000 dollars (at p = 40)

Step-by-step explanation:

One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.

Given function is:

$R(p) = -10p^2+800p$

Taking derivative wrt p

$\frac{d}{dp} (R(p) = \frac{d}{dp} (-10p^2+800p)\\R'(p) = -10 \frac{d}{dp} (p^2) +800 \ frac{d}{dp}(p)\\R'(p) = -10 (2p) +800(1)\\R'(p) = -20p+800\\$

Now putting R'(p) = 0

$-20p+800 = 0\\-20p = -800\\\frac{-20p}{-20} = \frac{-800}{-20}\\p = 40$

As p is is positive and the second derivative is -20, the function will have maximum value at p = 40

Putting p=40 in function

$R(40) = -10(40)^2 +800(40)\\= -10(1600) + 32000\\=-16000+32000\\=16000$

The maximum revenue is 16000 dollars (at p = 40)

3 0

2 years ago

Find all solutions in the integers of the equation ||x−3|−5| = 10, where the bars indicate absolute value.

Helga [31]

Answer:

x = 18 or x = -12.

Step-by-step explanation:

||x-3|-5| = 10 only if |x-3|-5 = 10 or |x-3|-5 = -10, i.e., if |x-3|=15 or |x-3|=-5; but |x-3| cannot be equal to -5, because |x-3| should be a non-negative value. Therefore, the first equation is true only if |x-3|=15. |x-3| = 15 only if x-3 = 15 or x-3 = -15, i.e., x = 18 or x = -12. We can verify this in the following way: ||18-3|-5|=||15|-5|=|10|=10 and ||-12-3|-5|=||-15|-5|=|15-5|=|10|=10. This verify that our solution is correct.

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3 years ago

Translate -y+8 into words

Arturiano [62]

Negative Y plus eight

8 0

3 years ago

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