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Alika [10]
3 years ago
15

Solve each exponential equation by using properties of common logarithms. When necessary, round answers to the nearest hundredth

.
7(^3x) - 1 = 5(^x - 1)
A. x ≈ 12.33
B. x ≈ -3.09
C. x ≈ 0.08

please help!!!!
Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0

Answer:

The answer is C

Step-by-step explanation:

Just graph these functions lol...

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WARRIOR [948]
Based on what i have seen i believe your answer is going to be A.
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Four students are running for class president: liz, sam, sue, and tom. the probabilities of sam, sue, and tom winning are 7⁄25 ,
Natali5045456 [20]
First, we need to convert all the fractions to have the same denominator. 10 and 25 are both multiples of 100, so 100 would be appropriate. 

Sam has a 7/25 chance. Because we want ?/100, something needs to change. To get from 25 to 100, you need to times 25 by 4, right? So, do the same with the 7.
7 x 4 = 28. Therefore Sam has a 28/100 chance.

Sue has 3/10. Using the same method, we can see that 3 needs to be multiplied by 10 (because 10 times 10 = 100). So Sue has a 30/100 chance.

Tom is already in the fraction we like, so just keep this as 21/100. 

Now, add 28/100, 30/100 and 21/100 to get 79/100. 

Because won of them will get the role of class president, we know that the probability adds to 1. To get a full probability (100/100, or 1), what needs to be added to 79/100? 

Another way of going about this is 100/100-79/100. The answer is 21/100

The probability of Liz winning is 21/100. 

Let me know if this is still unclear, I would be more than happy to explain in more detail if necessary :) 
8 0
3 years ago
Using Cramer's Rule, what are the values of x and y in the solutio
olya-2409 [2.1K]

Answer:

x = -3, y = 1

Step-by-step explanation:

To find the value of x and y, find the determinant of original matrix, which would be 21.

Then, substitute the value of x with the solutions to the equations and find the determinant of that matrix, which is -63.

Cramer's rule says that Dx ÷ D is the value of x. So, -63 ÷ 21 = -3.

So, the x-value is -3.

You can find the determinant of the y-value in the same way, and you'll find out that y = 1.

Hope this helped! :)

8 0
3 years ago
Bob is standing 25 feet from a lamppost that is to his left and 30 feet from a lamppost that is to his right. The distance betwe
irina1246 [14]

Answer:

The answer is 41

Step-by-step explanation:

400 = 900 + 625 - 1500 cos x

400 - 1525 = -1500 cos x

-1125 = -1500 cos

cos x = -1125/-1500

x = cos⁻¹ 0.75

x = 41.409622109

x ≈ 41°

3 0
2 years ago
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