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Flauer [41]
3 years ago
13

2log(base 5)^(x-3)-log(base 5)^8= log(base 5)^2

Mathematics
1 answer:
Alja [10]3 years ago
7 0

Answer:

x = 7

Step-by-step explanation:

2log_5(x-3)-log_58= log_52\\\\2log_5(x-3) =log_52+log_58\\\\2log_5(x-3) =log_5(2\times 8) \\\\2log_5(x-3) =log_516\\\\2log_5(x-3) =log_54^2 \\\\2log_5(x-3) =2 log_54 \\\\log_5(x-3) =log_54 \\\\x - 3 = 4\\\\x = 4+3\\\\\huge \orange { \boxed{x = 7}}

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Seetha drove to work at 30 miles per hour. How fast would she need to drive home for the average speed for her round trip commut
Sophie [7]

Answer:

40

Step-by-step explanation: Total distance = 60 miles

Total time = 30 / 30 + 30/60 = 3/2

Avg. speed = 40.

8 0
3 years ago
The formula to determine energy is E=1/2mv2? What is the formula solved for v?​
Inessa [10]

Answer:

v = √( \frac{2E}{m} )

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
According to the National Education Association (NEA), teachers generally spend more than 40 hours each week working on instruct
abruzzese [7]

Answer:

The median number of hours worked per week for the sample of 13 high school science teachers is 52.

Step-by-step explanation:

Median of a data set:

The median of a data set is the element that separates the lower 50% of the set from the upper 50%.

If the cardinality n of the set is odd, the median is the element at the position (n+1)/2 of the sorted sed.

If the cardinality n of the set is even, the median is the mean between the elements at the position n/2 and (n/2)+1 of the sorted sed.

In this question:

Hours worked for the sample of 13 high school science teachers:

55, 58, 52, 52, 56, 59, 48, 63, 52, 52, 50, 52, 56

Sorting in an ascending way:

48, 50, 52, 52, 52, 52, 52, 55, 56, 56, 58, 59, 63

Cardinality of 13, so odd, the median is the element at the 13+1/2 = 7th position of the sorted set, which is 52.

The median number of hours worked per week for the sample of 13 high school science teachers is 52.

8 0
3 years ago
Cayenne bought 20 pencils for 1.60 dollars at that rate how much would 35 pencils cost ​
yanalaym [24]
35 pencils would cost $2.80,


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4 0
3 years ago
According to the histogram above, how many people weigh between 150 and
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Answer: C. 14

3 people weigh between 150-159

4 people wiegh between 160-169

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5 0
3 years ago
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