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erma4kov [3.2K]
2 years ago
14

Express in exponential form. log2(x)=3

Mathematics
1 answer:
igomit [66]2 years ago
3 0
The relationship between logarithms and exponentials is that they are inverses of each other. That is, they are reflected about the line y = x.
In order to rewrite logarithms, we need to understand the basic fundamentals of them:
log_ab = y

This is essentially saying: "If we raise a to the y-th power, we get the answer to b".
Using this, we can say:
log_2x = 3 \rightarrow 2^{3} = x
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Travis will complete a 60-mile trip in _____ hours?
Natasha2012 [34]

Answer:  2.5 hours is the answer

Step-by-step explanation:

It took Travis 2.5 hours to complete 3/4 of his trip. To find the average speed, we need to find his speed during 3/4 of the trip and then the 52.5 miles. 

So you know that 52.5 is 1/4 of his total trip. That means if we multiply that by 3, that's how many miles he traveled in 2.5hrs. (157.5)

To calculate speed, divide distance by time. 

For 3/4 of his trip (157.5), it took him 2.5 hours. 

157.5/2.5 = 63mph

For the remaining 52.5 miles, it took him an hour.

52.5/1 = 52.5mph

Now average those two speeds to get the average speed for the whole trip.

(63+52.5)/2= 57.6mph

5 0
2 years ago
Show the steps<br> Find the slope of the line 3x-4y=5
storchak [24]
Hello:<span>
the equation is : y = ax+b
the slope is a
 </span><span>3x-4y=5.....
</span><span>4y = 3x-5
y = (3/4)x -5/4
the slope is (3/4)
</span><span>
</span>
8 0
3 years ago
If a regular polygon has an exterior angles that measure 60 degrees each, how many sides does a polygon have
lutik1710 [3]
360/60=6

hope it helps
3 0
2 years ago
Jana earns $25 per week for mowing the lawn and deposits the money into her savings account. The amount of money in Jana’s accou
Ivahew [28]

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

x = the number of weeks she mows the lawn

y = the amount of money in Jana's savings account

y = 25x + 125    

[amount of money in savings account(y) = $125 plus $25 per week(x)]

y-intercept = 125

So if x = 0 weeks and y = $125 in the savings account, $125 was already/initially in the savings account before she started earning and depositing $25 per week. Your answer is C

3 0
2 years ago
The _____ of a line is y=mx+b. The variable m in the equation stands for the _____. The variable b in the equation stands for th
baherus [9]

Answer:

The answers in order are:

slope-intercept form

slope of a line

y-intercept

Step-by-step explanation:

These are the definitions of the terms.

y=mx+b is called slope-intercept form because it contains the slope (m) and y-intercept (b)

slope of a line is change in y over change in x (steepness) which is m

y-intercept is point line intercepts y-axis and is b

6 0
2 years ago
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