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Aleksandr [31]
3 years ago
8

The amount of resistance, y, in a circuit varies inversely to the current, x, in the circuit. When 10 ohms of resistance are use

d in the circuit, 12 amperes of current are present. When 5 ohms of resistance are used in the same circuit, 24 amperes of current are present. How many ohms of resistance are used in the circuit when 15 amperes of current are present? Round your answer to the nearest hundredth, if necessary.
Mathematics
1 answer:
vekshin13 years ago
5 0

Answer:

8 ohms

Step-by-step explanation:

given that y varies inversely as x then the equation relating them is

y = \frac{k}x} ← k is the constant of variation

To find k use either of the given conditions

y = 10 when x = 12 or y = 5 when x = 24, hence

k = 10 × 12 = 120

y = \frac{120}{x} ← equation of variation

when x = 15, then

y = \frac{120}{15} = 8


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$1689 invested for 4 years at 3% compounded annually ?
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The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901

The amount of money gained after an investment is compounded is given by:

A=P(1+\frac{r}{n} )^{nt}

Where P is principal, A is the final amount, r is the rate, n is the number of times compounded per period and t is the time

Given that P = $1689, t = 4, r = 3% = 0.03, n = 1, hence:

A=P(1+\frac{r}{n} )^{nt}\\\\A=1689(1+\frac{0.03}{1} )^{4*1}\\\\A=\$1901

The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901

Find out more at: brainly.com/question/14295570

5 0
2 years ago
Write the logarithmic expression as a single logarithm log4(32) – log4 (4)
posledela
The answer is D Log4(8)
Because as seen in my solving you are seeing that when we subtract we can divide.I gave you the final answer of your equation.
Hope I help

3 0
3 years ago
Which choice is a graph of the solution set for 12 - X &lt; 8?<br> Pleaseeeee helpppppp NUMBER 14
yarga [219]

Answer:

B

Hope this helps!

explanation:

we solve the inequality and to do that we must first subtract 12 from both sides, which gets us -x<-4, then we divide both sides by -1, which gives us x>4, since we have to flip the sign when we divide by a negative. when we graph this, there will be a circle around 4 and the arrow pointing to the right, since it's greater than.

7 0
3 years ago
A number written in the form a + bi is called a _____ number.
postnew [5]
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3 years ago
The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 . A dotplot s
Ilya [14]

Answer:

The value of the test statistic and degrees of freedom is 2.148 and 11 respectively.

Step-by-step explanation:

Consider the provided information.

The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 .

Thus, n = 12, \bar x=36800 σ = 5000

degrees of freedom = n-1 = 12-1 = 11

H_0: \mu = 33700\ and\ H_a: \mu \neq 33700

Formula to find the value of z is: z=\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}

Where \bar x is mean of sample, μ is the mean of population, σ is the standard deviation of population and n is number of observations.

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Hence, the value of the test statistic and degrees of freedom is 2.148 and 11 respectively.

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3 years ago
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