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3 years ago

Show 240.149 in two different ways

Mathematics

2 answers:

Ksenya-84 [330]3 years ago

5 0

240 149/1000 fraction and 240.149 in decimal

KatRina [158]3 years ago

5 0

In words: two hundred and forty point one four nine
In scientific notation: 2.40149 x 102
In expanded form: 200 + 40 + 0.1 + 0.04 + 0.009

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Match each function with the corresponding restrictions to its domain when p(x)=2x and q(x) = 2^x.

ASHA 777 [7]

Recall that the domain of a function is the set of all x values of the function for which the function is defined.

Given that
$p(x)=2x$ and $q(x)=2^x$

Given that
$r(x)= \frac{q(x)}{p(x)} = \frac{2^x}{2x}$
For the function to be undefined, the denominator should be zero
i.e. 2x = 0 which means that x = 0
Thus, the domain of the function is all real values of x except 0.

Therefore, the restriction is x ≠ 0.

Given that
$r(x)= \frac{1}{p(x)-q(x)} = \frac{1}{2x-2^x}$
For the function to be undefined, the denominator should be zero
i.e.
$2x-2^x=0 \\ 2^x=2x$
For x = 2,
$2^2 = 2(2)=4$
Also, for x = 1
$2^1 = 2(1)=2$
Thus, the domain of the function is all real values of x except 1 and 2.

Therefore, the restriction is x ≠ 1, 2.

Given that
$r(x)= \frac{1}{p(x)+16q(x)}=\frac{1}{2x+16(2^x)}$
For the function to be undefined, the denominator should be zero
i.e.
$2x+16(2^x)=0 \\ 2x+2^4(2^x)=0 \\ 2x+2^{4+x}=0$
For x = -2,
$2(-2)+2^{4-2}=-4+2^2=-4+4=0$ .
Thus, the domain of the function is all real values of x except -2.

Therefore, the restriction is x ≠ -2.

Given that
$r(x)=p(x)\circ q(x)=p(q(x))=2(2^x)$
There is no value of x, for which the function is undefined.
Thus, the domain of the function is all real values of x.

Therefore, there is no restrictions to the domain of the function.

Given that
$r(x)= \frac{q(x)}{p(x)+2}=\frac{2^x}{2x+2}$
For the function to be undefined, the denominator should be zero
i.e.
$2x+2=0 \\ 2x=-2 \\ x = -1$
Thus, the domain of the function is all real values of x except -1.

Therefore, the restriction is x ≠ -1.

6 0

3 years ago

Read 2 more answers

Melissa working alone could clean one third of the area in one hour how much of the area could she clean in half of an hour.

docker41 [41]

Melissa could clean one sixth of the area in half and hour because you divide by 2 since 60 divided by 2 is 30 and she has half as much time

5 0

3 years ago

Helpppp!!!!! What is the reason for line 2?

sweet-ann [11.9K]

It is the addition property because you transfer -2 to the other side which makes +2

3 0

4 years ago

Free answers if u want

vladimir2022 [97]

Answer:

Thank you so much!!!

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

In the last chapter, we looked at three outliers arising from a plot of Average Wind Speed by Month in the Hopkins Forest. Each

Aloiza [94]

Answer:

Step-by-step explanation:

Hello!

We have the information of the average wind speed for three months:

February:

Mean: 2.324

SD: 1.577

Otlier: 6.73 mph

June:

Mean: 0.857

SD: 0.795

Otlier: 3.93 mph

August

Mean: 0.63

SD: 0.597

Outlier: 2.53mph

Z= X - μ ~N(0;1)

$Z_{February}= \frac{6.73 - 2.324}{1.577}$

$Z_{Februar}= 2.793$ ≅2.79

$Z_{June}= \frac{3.93 - 0.857 }{0.795}$

$Z_{June}= 3.87$

$Z_{August}= \frac{2.53 - 0.63}{0.597}$

$Z_{Augus}= 3.182$ ≅ 3.18

Comparing the three Z-scores you can say that the strongest wind event was in June. The number obtained means that is the furthest one in relation to the mean.

4 0

3 years ago