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sukhopar [10]
3 years ago
15

Write the expression as a single logarithm

Mathematics
1 answer:
vredina [299]3 years ago
4 0

3\log_7y + 4(\log_7x - 5\log_7z)\\\log_7y^{3} + 4(\log_7x - 5\log_7z)\\\log_7y^{3} + 4(\log_7x - \log_7z^{5})\\\log_7y^{3} + 4(\log_7(\frac{x}{z^{5}}))\\\log_7y^{3} + \log_7(\frac{x}{z^{5}})^{4}\\\log_7(y^{3} \times (\frac{x}{z^5{5}})^{4})

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write an equation in slope intercept form of the line with a slope- 2 and y intercept 3. Graph the line
charle [14.2K]

Answer:

y = -2x + 3

Step-by-step explanation:

<u>Step 1:  Find out what each part of slope intercept form is</u>

Slope Intercept Form:  y = mx + b

<em>m is the slope</em>

<em>b is the y-intercept</em>

<u>Step 2:  Plug in the information into the formula</u>

m/slope = -2

b/y-int = 3

<em>y = -2x + 3</em>

<em />

Answer:  y = -2x + 3

4 0
3 years ago
Ben has $100 in his savings account. He wants to save more money. He is looking at two investment plans. Under plan A, he will i
Bad White [126]

Answer: I believe its 104.55

Step-by-step explanation:

4 0
3 years ago
National data indicates that​ 35% of households own a desktop computer. In a random sample of 570​ households, 40% owned a deskt
Elan Coil [88]

Answer:

Yes, this provide enough evidence to show a difference in the proportion of households that own a​ desktop.

Step-by-step explanation:

We are given that National data indicates that​ 35% of households own a desktop computer.

In a random sample of 570​ households, 40% owned a desktop computer.

<em><u>Let p = population proportion of households who own a desktop computer</u></em>

SO, Null Hypothesis, H_0 : p = 25%   {means that 35% of households own a desktop computer}

Alternate Hypothesis, H_A : p \neq 25%   {means that % of households who own a desktop computer is different from 35%}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                  T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = sample proportion of 570​ households who owned a desktop computer = 40%

            n = sample of households = 570

So, <u><em>test statistics</em></u>  =  \frac{0.40-0.35}{{\sqrt{\frac{0.40(1-0.40)}{570} } } } }

                               =  2.437

<em>Since, in the question we are not given with the level of significance at which to test out hypothesis so we assume it to be 5%. Now at 5% significance level, the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics doesn't lies within the range of critical values of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.</em>

Therefore, we conclude that % of households who own a desktop computer is different from 35%.

3 0
3 years ago
scott is driving about 380 miles from Los Angeles to San Francisco. He plans to cover 3/4 of the distance before noon. how many
hoa [83]
285 miles before noon
8 0
3 years ago
Lin runs 8 laps around a track in 26 minutes.
lyudmila [28]

Answer:

Step-by-step explanation:

26/8=3.25

6 0
2 years ago
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