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Rina8888 [55]
3 years ago
11

Solve the following equations. log6(x) = 1

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
7 0

Answer:

x = 6

Step-by-step explanation:

Given:

log₆(x) = 1

Now,

From the properties of log

logₓ (z)= \frac{\log(z)}{\log(x)}  (where the base of the log is equal for both numerator and the denominator)

also,

log(xⁿ) = n × log(x)

thus,

using the above properties, we can deduce the results as:

logₓ(y) = n is equivalent to y = xⁿ

therefore,

the given equation can be deduced as:

log₆(x) = 1

into,

x = 6¹

or

x = 6

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Answer:

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

Step-by-step explanation:

We are given the following in the equation:

A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 score.

Thus, Exam 3 score becomes the dependent variable and exam 1 score is the independent variable.

The regression equation is given by:

\hat{y} = 50.57+0.4845x

Comparing the equation to a linear equation:

y = mx + c

m = 0.4845

c = 50.57

Where m is the slope and tells the rate of change and c is the y intercept that is the value of y when x is 0.

When, there is a increase in x, we can write:

\hat{y}(x) = 50.57+0.4845x\\\hat{y}(x+1) = 50.57+0.4845(x+1)\\\hat{y}(x+1) - \hat{y}(x) = 50.57+0.4845(x+1)-(50.57+0.4845x)\\\hat{y}(x+1) - \hat{y}(x) = 0.4845

Thus, the slope of equation can be interpreted as:

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

5 0
3 years ago
A ceiling 6 feet by 7 feet can be painted for $52. find the cost of painting a ceiling 18 feet by 21 feet, all things being equa
kykrilka [37]
6 feet * 7 feet = 42 feet²

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42 feet²  was painted for $52

1 feet²  will be painted for $52/42

378 feet² will then be painted for:  ($52/42) * 378

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Hence 18 feet by 21 feet will be painted for $468

Hope this helps.
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Answer:

a

Step-by-step explanation:

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ziro4ka [17]

Answer:

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Step-by-step explanation:

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Divide the sum of the numbers by the amount of numbers to get the mean

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Answer:

C: 85

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