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astra-53 [7]
4 years ago
13

Suppose z varies directly with x and inversely with the

Mathematics
1 answer:
bija089 [108]4 years ago
5 0

Answer:

K = 27

z = 1.89

Step-by-step explanation:

Check attachment below

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Stella graphed y = 100 - 25/3 * x to represent the percentage of battery life remaining on her phone after x hours. What is a re
Leya [2.2K]

Answer:

from 0 to 12 hours, that is 0\leq x\leq 12

Step-by-step explanation:

Notice that the x represents the number of phone hours used, therefore it has to be a number larger or equal zero, but NOT a negative number.

So on one end we have that the number of phone hours used (x) must be larger or equal zero: x\geq 0

On the other hand, when the battery goes to zero, there are no more phone hours to use. We can find what is that other limit by making the battery percent (y variable) equal to zero, and solve the equation for x, thus giving us the upper limit of usable phone hours:

y=0=100-\frac{25}{3} x\\\frac{25}{3} x=100\\25 x = 100*3 = 300\\x = \frac{300}{25} = 12

Therefore, the upper limit for the number of usable phone hours is 12 hours.

Then we write:

0\leq x\leq 12 hours

4 0
3 years ago
Matt is standing on top of a cliff 305 feet above a lake the measurement of the angle of depression to a boat on the lake is 42
sashaice [31]

Answer:

The boat is approximately 338.74 feet from the base of the cliff. If the problem suggests rounding to the nearest whole number, you should use 339 ft.

Step-by-step explanation:

Let's draw the right angle triangle associated with the problem (see attached image). Notice that the 305 ft height corresponds to the "opposite side" to the given acute angle of 42^o, and that the distance we need to find is the "adjacent" side to the given acute angle. Therefore, the appropriate trigonometric function to use is the "tangent", given that from it we can solve for the unknown adjacent side "x":

tan(42^o)=\frac{opposite}{adjacent} \\tan(42^o)=\frac{305}{x}\\x=\frac{305}{tan(42^o)}\\ x=338.74\,\, ft

5 0
4 years ago
X/4 = 8<br> With steps<br> Please and thank you
zheka24 [161]

Answer:

x=32

Step-by-step explanation:

Multiply both sides by 4.

(x/4)*(4) = (8)*(4)

5 0
4 years ago
Select the correct answer from each drop-down menu.
SVETLANKA909090 [29]

She must win the next 8 consecutive games to get 80% and after that loose the next 12 games to get to 50%.

<h3>How to find the probability of winning?</h3>

She has won 8 out of 12 days. Thus, percentage of winning is;

P(winning) = 8/12 * 100%

P(Winning) = 75%

To arrive at 80% winning, it means that the number of extra consecutive games she must win is;

(8 + x)/(12 + x) = 80/100

10(8 + x) = 8(12 + x)

80 + 10x = 96 + 8x

2x = 16

x = 8

Thus, she must win the next 8 consecutive games to get 80%.

For her to get to 50% after that, it means that;

(16 - x)/(20 - x) = 50/100

(16 - x)/(20 - x) = 1/2

2(16 - x) = 20 - x

32 - 2x = 20 - x

x = 12

Read more about Probability of winning at; brainly.com/question/24756209

#SPJ1

6 0
2 years ago
What is 4 x + 3 y equals 2 + 3 x - 2 y equals 10 on a graph
Nezavi [6.7K]
10x = 27

<span>x = 27/10

those are the answers </span>
8 0
3 years ago
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