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AlladinOne [14]
3 years ago
9

Use logarithms to find the exact solution for 7(17^−9)−7=49.

Mathematics
1 answer:
ch4aika [34]3 years ago
6 0
ANSWER: x = -0.082


EXPLANATION:

1. Apply logarithm to both sides of the
equation. If one of the terms has base 10,
use common logarithm, otherwise, use
natural logarithm

2. Use the different properties of logarithms
to solve for the variable.

17
-92 _ 7 = 49
7.17-92 = 56
17-92 = 8
10g17(8)
-92
2
log, 7(8)
-9
log(8)
log(17)
-9
I=
-0.082
2 of 3
Add both sides by 7
Divide both sides by 7
Convert to logarithm
Divide both sides by - 9
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Dmitry_Shevchenko [17]
You just simply divide 7 by 30. The answer would be 0.233333
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3 years ago
Is 8, 11.5, 8.5 a right triangle?
Jlenok [28]

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Monkey says NO

Step-by-step explanation:

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8 0
3 years ago
Which of the following angles is in the solution set of sec^2θ - 3secθ - 2 = 0 for 0° ≤ θ < 360°.
STALIN [3.7K]
1 / cos^2 O - 3 / cos O - 2 = 0
1 - 3 cos O -  2 cos^2 O = 0

2 cos^2 O + 3 cos O - 1 = 0

cos O = 0.2807 , -1.78   ( -1.78 cannot be a solution)

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4 0
3 years ago
Solve:
Natalija [7]
Answer: It took 18 Months for Michelle to collect 59 dolls.


Explanation:
First, let’s right an equation for this. Michelle started with 5 dolls in a bar collection (I have no clue what that is but i’ll roll with it), and each month she bought 3 more, so 5 dolls plus the 3 dolls per month equals 59 at some point.

5 dolls + 3 dolls per month = 59 dolls
OR
5 + 3m = 59

The point of this question is to find how many months (m) it took in order to get to 59 dolls and there’s multiple ways you can do this:

1) just plug in random numbers into m to see how long it takes to get to 59 [this option might take a while]

2) Try to isolate m (get every number out of the equation) to find out the value of m. [I’m most familiar with this way]

First, subtract 5 from 5 in the equation in order to get rid of it, since we’re trying to get all whole numbers out of the equation and only have m left. You subtract 5 from 59 since the equal sign is kind of like a mirrror, whatever you do to one side you have to do to the other. So, 5-5 is 0, and 59- is 54.

Now you’re left with 3m=54. In order to isolate the m, divide 3 by 3 to get rid of the 3, then divide 54 by 3, which is 18.

In order to check your work, plug 18 into m just to see if it works or not:

5+3m=59 —-> 5+ 3(18)= 59

3 times 18 is 54, plus 5 is 59. So, Mi hells took 18 months to collect her 59 dolls. Hope this helped!
3 0
3 years ago
a rectangle has a perimeter of 68 inches.if the width of the rectangle is 10 inches,what is the length of the rectangle?
Dmitriy789 [7]

Answer:

l=24in

Step-by-step explanation:

P=2(l+w)

l=P

2﹣w=68

2﹣10=24in

3 0
3 years ago
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