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<h2><u>_______________________</u></h2><em>Complete solution in attachment!</em>
Which logarithmic equation correctly rewrites this exponential equation? 8x = 64
1 answer:
The logarithmic equation of 8^x = 64 is
The exponential equation is given as:
8^x = 64
Take the logarithm of both sides
xlog(8) = log(64)
Divide both sides by log(8)
x = log(64)/log(8)
Apply the change of base rule
Hence, the logarithmic equation of 8^x = 64 is
Read more about logarithmic equation at:
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Hello!
First of all let's find the perimeter (circumference) of the semi circles. We can combine them to make one circle with a diameter of 4 (as we can see the side length of one semi circle is 4 cm. We now plug it into the circumference equation (
=3.14).
4(3.14)=12.56
Now we add up the side lengths of the rectangle.
4+6+4+6=20
Now we add up the length of our circle and rectangle.
20+12.56=32.56
Therefore our answer is 32.56 cm.
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Now to find the area! If we combine the two semicircles, we get a circle with a diameter of four. This means that is has a radius of two. We use the equation below to find the area of the two circles.
A=r²
First we will square our radius.
2(2)=4
Now we multiply by pi.
4(3.14)=12.56
Now we need to find the area of the rectangle.
6(4)=24
Now we add.
24+12.56=36.56.
I hope this helps!
First of all let's find the perimeter (circumference) of the semi circles. We can combine them to make one circle with a diameter of 4 (as we can see the side length of one semi circle is 4 cm. We now plug it into the circumference equation (
4(3.14)=12.56
Now we add up the side lengths of the rectangle.
4+6+4+6=20
Now we add up the length of our circle and rectangle.
20+12.56=32.56
Therefore our answer is 32.56 cm.
----------------------------------------------------------
Now to find the area! If we combine the two semicircles, we get a circle with a diameter of four. This means that is has a radius of two. We use the equation below to find the area of the two circles.
A=
First we will square our radius.
2(2)=4
Now we multiply by pi.
4(3.14)=12.56
Now we need to find the area of the rectangle.
6(4)=24
Now we add.
24+12.56=36.56.
I hope this helps!
Natalie’s net income for the month of October is $1,930.
<h2>Net Income </h2>The net income of a person is the income of the person that is left with him after deducting all of his\her expenses and deductions.
- Natalie's monthly income statement for October. Total wages are 3,000 dollars.
- Total expenses are 1,070 dollars.
the total wage Natalie is already given is $3,000, and her expenses as $1,070, while there are no deductions from his salary. therefore,
Hence, Natalie’s net income for the month of October is $1,930.
Learn more about Net Income:
a) Corresponding angles of similar figures are congruent, so
b) Scale factor = (image)/(preimage). Since we are looking for ABCD to WZYX, this means that WZYX is the image and ABCD is the preimage. Thus, the scale factor is
c) Since the scale factor is 5/2,