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3 years ago

9. Write an equivalent expression to 8k - (5 + 2k) without parentheses.

Mathematics

1 answer:

podryga [215]3 years ago

4 0

Answer:

8k - 5 -2k = 6k -5

Step-by-step explanation:

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8.6 + 5.6x - 1.5 = 40.7

Bumek [7]

Answer:

$x=6$

Step-by-step explanation:

$8.6 + 5.6x - 1.5 = 40.7\\5.6x = 33.6\\x=6$

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1 year ago

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HELP!!!

Dmitrij [34]

Answer:

-2 Celsius >-5 Celsius is the answer.

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2 years ago

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Find the area under the standard normal curve to the left of z=1.25.

snow_tiger [21]

For quite some time now, calculators have had statistical functions built in. Here we need to use the stat. function normalcdf, which has only two inputs when we're working with z scores instead of raw scores.

Here,

normalcdf(-100,1.25) = 0.894

This same result could be obtained using a table of z-scores.

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2 years ago

Let O be an angle in quadrant III such that cos 0 = -2/5 Find the exact values of csco and tan 0.

vivado [14]

well, we know that θ is in the III Quadrant, where the sine is negative and the cosine is negative as well, or if you wish, where "x" as well as "y" are both negative, now, the hypotenuse or radius of the circle is just a distance amount, so is never negative, so in the equation of cos(θ) = - (2/5), the negative must be the adjacent side, thus

$cos(\theta)=\cfrac{\stackrel{adjacent}{-2}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - (-2)^2}=b\implies \pm\sqrt{25-4}\implies \pm\sqrt{21}=b\implies \stackrel{III~Quadrant}{-\sqrt{21}=b}$

$\dotfill\\\\ csc(\theta)\implies \cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{-\sqrt{21}}}\implies \stackrel{\textit{rationalizing the denominator}}{-\cfrac{5}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies -\cfrac{5\sqrt{21}}{21}} \\\\\\ tan(\theta)=\cfrac{\stackrel{opposite}{-\sqrt{21}}}{\underset{adjacent}{-2}}\implies tan(\theta)=\cfrac{\sqrt{21}}{2}$

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2 years ago

I just have one question left you don’t need to simplify if you give the answer

Ugo [173]

It is either 400 or negative 400 because if you devide 12 by .03 it is 400

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2 years ago

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