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7 months ago

Somebody explain pls!!!!!

Mathematics

1 answer:

Furkat [3]7 months ago

5 0

Step-by-step explanation:

Using log properties

$log_{7}(rz {}^{12} )$

$log_{7}(r) + log_{7}(z {}^{12} )$

Then

$log_{7}(r) + 12 log_{7}(z)$

Plug in the knowns

$- 7.87 + 12( - 12.59)$

$- 158.95$

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Which ordered pair in the form (a, b) is a solution of this equation?

allochka39001 [22]

3(7)-4(0)=21
3*7=21-0=21
the answer is D

5 0

3 years ago

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(-10) to the negitive 4 power

SIZIF [17.4K]

$(-10)^{-4}=\\
\left(-\frac{1}{10}\right)^4=\\
\frac{1}{10000}
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7 0

3 years ago

The domain of (fg)(x) consists of the numbers x that are in the domains of both f and g.

Dovator [93]

The statement "The domain of (fg)(x) consists of the numbers x that are in the domains of both f and g" is FALSE.

Domain is the values of x in the function represented by y=f(x), for which y exists.

THe given statement is "The domain of (fg)(x) consists of the numbers x that are in the domains of both f and g".

Now we assume the $g(x)=x+2$ and $f(x)=\frac{1}{x-6}$

So here since g(x) is a polynomial function so it exists for all real x.

$f(x)=\frac{1}{x-6}$ <em> </em>does not exists when $x=6$ , so the domain of f(x) is given by all real x except 6.

Now,

$(fg)(x)=f(g(x))=f(x+2)=\frac{1}{(x+2)-6}=\frac{1}{x-4}$

So now (fg)(x) does not exists when x=4, the domain of (fg)(x) consists of all real value of x except 4.

But domain of both f(x) and g(x) consists of the value x=4.

Hence the statement is not TRUE universarily.

Thus the given statement about the composition of function is FALSE.

Learn more about Domain here -

brainly.com/question/2264373

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3 0

1 year ago

Identify the number that is NOT the same as the others when rounded to the nearest tenth.

Andrew [12]

Answer:

c. 34.49

Step-by-step explanation:

Note that the nearest tenth place value is directly next to the decimal point (located on the right). Round each number to the nearest tenth. Look at the number in the hundredth place value. If it is 5 or greater round up, if 4 and less, round down.

a. 34.62 rounded to the nearest tenth is 34.6

c. 34.49 rounded to the nearest tenth is 34.5

b. 34.59 rounded to the nearest tenth is 34.6

d. 34.56 rounded to the nearest tenth is 34.6

This makes it so that C. 34.49 is your answer.

4 0

2 years ago

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A college administrator would like to estimate the average grade point average (average of GPA) of all the current registered st

bonufazy [111]

Answer: 346

Step-by-step explanation:

Given : Margin of error : E= 0.05

Standard deviation : $\sigma=0.4$

Significance level : $\alpha=1-0.9=0.1$

Critical value : $z_{\alpha/2}=1.645$

The formula to calculate sample size ( if proportion is known) :-

$n=(\dfrac{z_{\alpha/2}\sigma}{E})^2\\\\\Rightarrow\ n=(\dfrac{(2.326\times0.4)}{0.05})^2\\\\\Rightarrow\ n=346.257664\approx346$

Hence, the required minimum sample would be 346.

8 0

2 years ago