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Mrrafil [7]
2 years ago
13

Log3(7x) Use the Laws of Logarithms to expand the expression.

Mathematics
1 answer:
Bingel [31]2 years ago
7 0
Log3(7) + log3(x)
Terms that are multiplied inside one log become added when you separate them where each term gets its own log.
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Write an equation of the ellipse with foci at (0,+12) and vertices at (0,+13)
nekit [7.7K]
 To solve this problem you must apply the proccedure shown below:
 1. You have that the ellipse given as a vertical major axis (a=13), therefore, taking the ellipse with its center at the origin, you have the following equation:
 (y^2/a^2)+(x^2/b^2)=1
 2. You have the distance from the center of the ellipse to the focus:
 c=12, therefore, you can calculate the value of b, the minor radius:
 c^2=a^2-b^2
 b=√(13^3-12^2)
 b=5
 3. Therefore, the equation is:
 a^2=169
 b^2=25
 (y^2/169)+(x^2/25)=1
 The answer is: (y^2/169)+(x^2/25)=1 
6 0
2 years ago
Read 2 more answers
Need help with math homework
Nuetrik [128]

Answer:

c

Step-by-step explanation:

am not sure but I think its C am not shure

5 0
3 years ago
I GIVEEEEEEEEEEE BRAINLIST
irina [24]

Answer:

Step-by-step explanation:

B

8 0
3 years ago
How do you solve this step by step
nydimaria [60]
Work shown above! x = 7
To solve use the supplementary angle next to the unknown angle to find an expression for that unknown angle and use that with the expressions inside the triangle to set equal to 180 and solve for x.

hope this helps c:

3 0
3 years ago
(3 marks) A certain type of storage battery lasts, on average, 3.0 years with a standard deviation of 0.5 year. The battery live
Ksenya-84 [330]

Answer:

0.8041 = 80.41% probability that a given battery will last between 2.3 and 3.6 years

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

A certain type of storage battery lasts, on average, 3.0 years with a standard deviation of 0.5 year

This means that \mu = 3, \sigma = 0.5

What is the probability that a given battery will last between 2.3 and 3.6 years?

This is the p-value of Z when X = 3.6 subtracted by the p-value of Z when X = 2.3. So

X = 3.6

Z = \frac{X - \mu}{\sigma}

Z = \frac{3.6 - 3}{0.5}

Z = 1.2

Z = 1.2 has a p-value of 0.8849

X = 2.3

Z = \frac{X - \mu}{\sigma}

Z = \frac{2.3 - 3}{0.5}

Z = -1.4

Z = -1.4 has a p-value of 0.0808

0.8849 - 0.0808 = 0.8041

0.8041 = 80.41% probability that a given battery will last between 2.3 and 3.6 years

4 0
2 years ago
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