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Evgesh-ka [11]
3 years ago
15

What are the domain and range of f(x) = log(x+b) - 4?

Mathematics
1 answer:
Gnesinka [82]3 years ago
8 0

Answer:

I'm probably to late but i took the test and the answer is B.

domain: x > –6; range: all real numbers.

Hope This Helped!

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Which equation demonstrates the additive identity property?
xxMikexx [17]

Answer:

See Explanation

Step-by-step explanation:

<em>The options are not given; however, you can take a clue from my explanation to answer your question</em>

Let x be a real number;

Additive identity property implies that; adding x to 0 or 0 to x gives x;

In other words;

x + 0 = x

0 + x = x

Note that x can be replaced with any real number; Take for instance

1 + 0 = 1

0 + 2.5 = 2.5

3 + 0 = 3

There are uncountable number of examples;

<em>However, take note that adding 0 to a given digit results in the exact digit and that's the implication of addition identity property</em>

7 0
3 years ago
Read 2 more answers
The ratio of 600m to 3km in simplest form
never [62]
3 km = 3000m
600m:3000m divide by 10
60:300 divide by 10
6:30 divide by 3
2:10 divide 2
*1:5* (simplest form)
6 0
3 years ago
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.
valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.85}{2} = 0.075

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.075 = 0.925, so Z = 1.44.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that \sigma = \sqrt{1.69} = 1.3

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

M = z\frac{\sigma}{\sqrt{n}}

0.14 = 1.44\frac{1.3}{\sqrt{n}}

0.14\sqrt{n} = 1.44*1.3

\sqrt{n} = \frac{1.44*1.3}{0.14}

(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2

n = 178.8

Rounding up

A sample of 179 is needed.

7 0
3 years ago
Which is the measure of ∠XYZ?
AlladinOne [14]

Answer:

you get the measure of angle XYZ by adding the measures of angles XY? and ZY?

70 +35 = 105 degrees is the measure of angle XYZ

7 0
3 years ago
Abigail mixes 2/3 pounds of walnuts with 3/5 pound of dried fruit. To create more of the same mixture, how many pounds of walnut
nignag [31]
1 1/9

To figure out how much walnuts to a pound of dried fruit you’d need to do proportions. So we cross multiply:

2/3 = X
—————- —————-
3/5 = 1

You multiply diagnols 2/3 x 1 = 2/3
3/5 times x is 3/5x.

2/3 = 3/5x. Isolate the variable. Divide 3/5 on both sides cancel out 3/5. 2/3 divide by 3/5 is 2/3 x 5/3 which is 10/9 which equals 1 1/9.

So for 1 lb of dried fruit you need 1 1/9 lb of walnuts to maintain the same mixture
7 0
3 years ago
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