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Juliette [100K]
3 years ago
12

Expand each logarithm using the properties of logarithms.

Mathematics
1 answer:
lora16 [44]3 years ago
6 0
A.  = logb (3/7)^1/2
      = logb  3^1/2 - logb 7^1/2
      = 1/2(logb 3 - logb 7)

b.  =  log 7x^3 + log y^5
      = log 7 + log x^3 + log y^5
      = log 7 + 3 log x + 5 log y
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a blue print of a house is drawn using a scale of 1/4 in=3 ft. If the bedroom of the actual house is 16 in by 12 in, what are th
olchik [2.2K]

Answer:

64 feet × 48 feet

Step-by-step explanation:

Dimensions refers to the measurements of the house including length and breadth of the house.

Given:a blue print of a house is drawn using a scale of \frac{1}{4}\,in=3\,ft

To find:the dimensions of the bedroom on the blueprint

Solution:

Length of the bedroom  = 16 in

So, length of the bedroom in the blueprint = 16×4=64 feet

Breadth of the bedroom = 12 in

So, breadth of the bedroom in the blueprint = 12×4 = 48 feet

Therefore, dimensions of the bedroom in the blue print = 64 feet × 48 feet

8 0
3 years ago
Translate the phrase into an algebraic expression <br> The sum of y and 3
nexus9112 [7]
It would be y+3. This is written as an algebraic expression.
8 0
3 years ago
Which is the slope of the line y= -3x + 2?​
zavuch27 [327]

Answer:

slope is m

y = mx + b is your standard formula

slope = -3

Step-by-step explanation:

7 0
3 years ago
Please help me im new idk how to do any of this.Please help i suck at math​
FromTheMoon [43]

Answer:

x=85

Step-by-step explanation:

Hope this helps you :))

(Hope it doesn't get reported becuase it "doesn't have an explanation of how it's right") Have a blessed day ^-^

7 0
3 years ago
Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic t.
lawyer [7]

Using the t-distribution, it is found that the p-value of the test is 0.007.

At the null hypothesis, it is <u>tested if the mean lifetime is not greater than 220,000 miles</u>, that is:

H_0: \mu \leq 220000

At the alternative hypothesis, it is <u>tested if the mean lifetime is greater than 220,000 miles</u>, that is:

H_1: \mu > 220000.

We have the <u>standard deviation for the sample</u>, thus, the t-distribution is used. The test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • s is the standard deviation of the sample.
  • n is the sample size.

For this problem:

\overline{x} = 226450, \mu = 220000, s = 11500, n = 23

Then, the value of the test statistic is:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{226450 - 220000}{\frac{11500}{\sqrt{23}}}

t = 2.69

We have a right-tailed test(test if the mean is greater than a value), with <u>t = 2.69</u> and 23 - 1 = <u>22 df.</u>

Using a t-distribution calculator, the p-value of the test is of 0.007.

A similar problem is given at brainly.com/question/13873630

8 0
2 years ago
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