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Thepotemich [5.8K]
3 years ago
12

given the function f(x) = 2^x, find the value of f−1(32). (1 point) f−1(32) = 0 f−1(32) = 1 f−1(32) = 5 f−1(32) = 16

Mathematics
1 answer:
EastWind [94]3 years ago
7 0

Answer:

5

Step-by-step explanation:

The inverse of f(x)=2^x is g(x)=\log_2(x).

g(32)=\log_2(32)

\log_2(32)=5 since 2^5=32.

g(32)=\log_2(32)=5

Note: In general, the inverse of f(x)=a^x is g(x)=\log_a(x).

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Which equation is non linear y=3x y=3x^2 y=3^2 y=x
aleksandr82 [10.1K]

Answer:

y=x

Step-by-step explanation:

one type of coordinate cant = another

4 0
3 years ago
A machine that produces ball bearings has initially been set so that the true average diameter of the bearings it produces is .5
lara [203]

Answer:

7.3% of the bearings produced will not be acceptable

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 0.499, \sigma = 0.002

Target value of .500 in. A bearing is acceptable if its diameter is within .004 in. of this target value.

So bearing larger than 0.504 in or smaller than 0.496 in are not acceptable.

Larger than 0.504

1 subtracted by the pvalue of Z when X = 0.504.

Z = \frac{X - \mu}{\sigma}

Z = \frac{0.504 - 0.494}{0.002}

Z = 2.5

Z = 2.5 has a pvalue of 0.9938

1 - 0.9938= 0.0062

Smaller than 0.496

pvalue of Z when X = -1.5

Z = \frac{X - \mu}{\sigma}

Z = \frac{0.496 - 0.494}{0.002}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

0.0668 + 0.0062 = 0.073

7.3% of the bearings produced will not be acceptable

4 0
3 years ago
A boy flying a kite lets out 300 feet of string. The height of the kite is 185 feet. What is the angle
Nataliya [291]

Answer:

The string, the height and the ground form a right triangle

The hypotenuse = 300

height =185 = opposite side

sine of the angle = 185 / 300 = 0.6166666667

arc sine (.616666666666) =

38.073 degrees

Step-by-step explanation:

4 0
3 years ago
What is the amount of compound interest earned after three years on a $100 deposit paying 8 percent interest annually? $8.00 $16
horrorfan [7]
$24.

8% of $100 is $8.

$8 x 3 years = $24
3 0
3 years ago
2/3(-6y+9x) expand each expression using the distributive property
motikmotik
The answer to this problem is -4y+9x
4 0
3 years ago
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