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xz_007 [3.2K]
3 years ago
9

Solve each multiplication problem, use the cancellation method if possible, and reduce your answers.

Mathematics
2 answers:
Alexandra [31]3 years ago
6 0
A. 3/8
b. 8/105
c. 1/4
d. 24
e. 64
f. 29
g. 27 1/3
h. 14 2/3
Mariana [72]3 years ago
4 0
You should google the worksheet that this is from, easier results.

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Is this expression equivalent?<br> 3v+v and 12v over 3
xeze [42]
Yes this is equal because 3v+v is 4v and if you divide 12v by 3 you also get 4v
7 0
3 years ago
Read 2 more answers
To find the x-intercept, we let y = 0 and solve for x and to find y-intercept, we let x=0 and solve for y. Figure out the x-inte
zavuch27 [327]

Answer:

x-intercept = 2

y-intercept = 6

Step-by-step explanation:

x-intercept:  6x = 12;  x = 2

y-intercept:  2y = 12;  y = 6

4 0
2 years ago
On a unit circle, the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distan
swat32

Check the picture below.

since the vertical distance, namely the y-coordinate, is twice as much as the horizontal, then if the horizontal is "x", the vertical one must be 2x.

let's find the hypotenuse first.

\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{2x}\\ \end{cases} \\\\\\ c=\sqrt{x^2+(2x)^2}\implies c=\sqrt{x^2+4x^2}\implies c=\sqrt{5x^2}\implies c=x\sqrt{5} \\\\[-0.35em] ~\dotfill

\bf sin(\theta )=\cfrac{\stackrel{opposite}{2~~\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }}{\stackrel{hypotenuse}{~~\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ \sqrt{5}}}\implies \stackrel{\textit{and rationalizing the denominator}~\hfill }{\cfrac{2}{\sqrt{5}}\cdot \cfrac{\sqrt{5}}{\sqrt{5}}\implies \cfrac{2\sqrt{5}}{(\sqrt{5})^2}\implies \cfrac{2\sqrt{5}}{5}}

5 0
3 years ago
2 pts
DerKrebs [107]

Answer:

It's number one.

Step-by-step explanation:

This is because all the other answers are opinions, like the most attractive color one. Everyone has a different favorite color. But number one is something that can be proved. That's what you're looking for in the scientific method.

4 0
3 years ago
A recent gasoline survey said that the national average price of gasoline was $1.298 a gallon. It was felt that gasoline price i
slava [35]

Answer:

<em>alternative hypothesis : H₁ :</em>

<em>Recent  Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average</em>

<em>Alternative Hypothesis : H₁: μ < $1.298 a gallon</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given A recent gasoline survey said that the national average price of gasoline was $1.298 a gallon

<em>Population average μ= $1.298 a gallon</em>

<em>sample size 'n' = 37</em>

<em>Sample mean (x⁻) = $1.192 a gallon </em>

<em>Sample standard deviation 'S' = $0.0436</em>

<em>Null hypothesis :H₀ : μ =  $1.298 a gallon</em>

<em>Alternative Hypothesis : μ < $1.298 a gallon</em>

<em>Degrees of freedom : ν = n-1= 37-1=36</em>

<em>t₀.₀₂₅ = 1.688</em>

<em>Test statistic </em>

<em>                        </em>t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }<em></em>

<em>                        </em>t = \frac{1.192-1.298 }{\frac{0.0436}{\sqrt{37} } }<em></em>

<em>                      t =  -14.8044</em>

<em>|t| = |-14.8044| > 1.688</em>

<em>Null hypothesis is rejected </em>

<em>Alternative hypothesis is accepted </em>

<em>Recent  Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average</em>

6 0
2 years ago
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