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lianna [129]
3 years ago
13

Which logarithmic equation is equivalent to the exponential equation below? 67.21=e^a

Mathematics
2 answers:
klio [65]3 years ago
6 0

Answer: in 67.21=a


Step-by-step explanation:


Ipatiy [6.2K]3 years ago
5 0

67.21=e^a\qquad \ln\text{of both sides}\\\\\ln67.21=\ln e^a\qquad\text{use}\ \log_aa^n=n\\\\\ln67.21=a\\\\\boxed{a=\ln67.21}

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Solve the equation using the zero product property -2x(5x-2)=0
anastassius [24]

Answer:

A

Step-by-step explanation:

Given

- 2x(5x - 2) = 0

Equate each factor to zero and solve for x

- 2x = 0 ⇒ x = 0

5x - 2 = 0 ⇒ 5x = 2 ⇒ x = \frac{2}{5}

Solutions are

x = 0, x = \frac{2}{5}

5 0
3 years ago
10. The product of the sum of 4 and 5, and the difference of 20 and 12 are divisible of what number?
Vilka [71]
A.2




The sum of 4 and 5 is 9,
The difference of 20 and 12 is 8,
The product of 9 and 8 is 72

4 + 5 = 9
20 - 12 = 8
9 x 8 = 72

72 / 11 = x
72 / 10 = x
72 / 5 = x
72 / 2 = 36 ✔️
4 0
3 years ago
Read 2 more answers
What is the length of segment TQ.
Jobisdone [24]

Answer:

C )  14 units

Step-by-step explanation:

I am assuming this is the problem's image? If not, please let me know and I will do a different one. I hope this helps!

We know QV = 15 and TQ = TS, QV = SV;

4 x - 1 = 15

4 x = 15 + 1

4 x = 16

x = 16 : 4 = 4

so,

TQ = 3 * 4 + 2 = 12 + 2 = 14

Answer:

C )  14 units

3 0
2 years ago
A superintendent of a school district conducted a survey to find out the level of job satisfaction among teachers. Out of 53 tea
frez [133]

Answer:

b. 1.15

Step-by-step explanation:

The z statistics is given by:

Z = \frac{X - p}{s}

In which X is the found proportion, p is the expected proportion, and s, which is the standard error is s = \sqrt{\frac{p(1-p)}{n}}

Out of 53 teachers who replied to the survey, 13 claim they are satisfied with their job.

This means that X = \frac{13}{53} = 0.2453

She find that the proportion of satisfied teachers nationally is 18.4%.

This means that p = 0.184

Standard error:

p = 0.184, n = 53.

So

s = \sqrt{\frac{0.184*0.816}{53}} = 0.0532

Z-statistic:

Z = \frac{X - p}{s}

Z = \frac{0.2453 - 0.184}{0.0532}

Z = 1.15

The correct answer is:

b. 1.15

5 0
4 years ago
What is the value of -17 - (-1)?
AlladinOne [14]
Answer: -16

Explanation: Since you are subtracting a negative number from -17, you are actually just adding that number to it, and -17 + 1 is -16
6 0
3 years ago
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