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irina [24]
3 years ago
5

Y varies directly as x and y =18 when x=1/2 write an equation that relates y and x

Mathematics
1 answer:
marusya05 [52]3 years ago
6 0

Answer:

y = 36x

Step-by-step explanation:

Given that y varies directly as x, then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 18 when x = \frac{1}{2}, thus

k = \frac{y}{x} = \frac{18}{\frac{1}{2} } = 36

y = 36x ← equation of variation

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olga_2 [115]

Answer:

z=\frac{ln(26)}{4}

Step-by-step explanation:

The given equation is:

0.5\,e^{4z}=13

so, we first isolate the exponential form that contains the unknown "z" in the exponent, by dividing both sides by 0.5:

0.5\,e^{4z}=13\\e^{4z}=\frac{13}{0.5}\\e^{4z}=26

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5 0
3 years ago
A book sold 39,300 copies in its first month of release. Suppose this represents 6.3% of the number of copies sold to date. How
konstantin123 [22]
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39,300/x = 6.3/100

We set it up like this because 39,300 is part of the total amount, and it represents 6.3% of the total book sales. Percents are parts of 100, which is why 6.3 is above 100. Let's cross multiply the values. 39,300 * 100 is 3,930,000. 6.3 * x is 6.3x. that makes 3,930,000 = 6.3x. Divide each side by 6.3 to isolate the x. 6.3x/6.3 cancels out. 3,930,000/6.3 is 623,809.5238 or 623,810 when rounded to the nearest whole number. There. The total amount of copies sold to date is about 623,810.
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3 years ago
The data reflects the number of days since a plant has
AURORKA [14]

Answer:

I think its b. Every 0.81 days the plant grows 0.07 inches.

Step-by-step explanation:

i took the same test on egd.

5 0
2 years ago
Help me with 12, 13, and 14 please ! thanks
melamori03 [73]

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12. (4/5)² = 16/25

13. (-5/12)² = 25/144

14. (13/6)² = 169/36

3 0
3 years ago
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