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choli [55]
3 years ago
8

Convert the following Logarithmic Equation into a Exponential Equation. log_3(-2x+1)=-2y+6

Mathematics
1 answer:
lozanna [386]3 years ago
3 0

Answer:

3^(-2y + 6) = (-2x+1)

Step-by-step explanation:

We have;

log_3_(-2x+1) = -2y + 6

What this means in exponential form is that;

3^(-2y + 6) = (-2x+1)

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3 years ago
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What is the area of a rectangle with a length of 7.5 feet and a width of 8 feet?
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d 60 ft 2

Step-by-step explanation:

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Cat face x+4/5=45 sa il aflu pe x
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Given:

The equation is

x+\dfrac{4}{5}=45

To find:

The value of x.

Solution:

We have,

x+\dfrac{4}{5}=45

Isolating the variable, we get

x=45-\dfrac{4}{5}

x=\dfrac{225-4}{5}

x=\dfrac{221}{5}

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Therefore, the value of x is 44.2.

6 0
3 years ago
Fast-food restaurants spend quite a bit of time studying the amount of time cars spend in their drive-throughs. Certainly, the f
melisa1 [442]

Answer:

For the 99th percentile, we have X = 206 seconds.

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 = 138.5, \sigma = 29

99th percentile:

Value of X when Z has a pvalue of 0.99. So we use Z = 2.325

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

2.325 = \frac{X - 138.5}{29}

X - 138.5 = 29*2.325

X = 205.92 = 206

For the 99th percentile, we have X = 206 seconds.

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3 years ago
A salesperson earns a commission of 429$ for selling 3300$ in merchandise.
butalik [34]

Answer:

13%

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429 commission ÷3300 merchandise sold =0.13 percent

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