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3 years ago

What is the period of f : R→R, f(x) = tan(x 3)?

Mathematics

1 answer:

Ksivusya [100]3 years ago

6 0

12X is the period of what is the period of f : R→R, f(x) = tan(x 3)?

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Which expression is equivalent to \frac{10q^5w^7}{2w^3}.\ \frac{4\left(q6\right)^2}{w^{-5}} for all values of q and w where the

mestny [16]

Answer:

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9$

Step-by-step explanation:

Given

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

Required

Determine the equivalent expression

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

Simplify the first fraction

$\frac{5q^5w^7}{w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

Apply law of indices on the first fraction;

$5q^5w^{7-3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

$5q^5w^4.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

$\ \frac{5q^5w^4*4\left(q^6\right)^2}{w^{-5}}$

Apply law of indices:

$5q^5w^4*4\left(q^6\right)^2 * w^{5}$

Evaluate the bracket

$5q^5w^4*4 * q^{12} * w^{5}$

Collect Like Terms

$5*4q^5* q^{12}*w^4 * w^{5}$

$20q^5* q^{12}*w^4 * w^{5}$

$20q^{5+12}*w^{4+5}$

$20q^{17}w^9$

Hence:

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9$

7 0

3 years ago

What is the reference angle of -139 degrees

katrin [286]

41º

1) Since we want to find the reference angle for a -139º angle, we need to resort to the following formula

$Reference\:Angle\:\:Quadrant\:III=180^{\circ}-139^{\circ}=41^{\circ}$

2) Note that a -139 angle is in quadrant III, since negative angles are clockwise oriented

3) Thus the Reference Angle is 41º

6 0

2 years ago

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The tables show the number of points scored by two basketball teams this season.

masya89 [10]

The answer is, The means differ by only about 0.5, but the standard deviations shows that the hurricanes' number of points is generally closer to the mean.

Step-by-step explanation:

Red hawks and Hurricane in two columns.
Total of both Red hawks and Hurricane 725 and 716.
Mean is the measure of centrality.
Mean = Adding total number of points / by games played.
Formula is Ex/N.
Result mean of Red hawks and Hurricane is 45.31 and 44.75.
The difference between the mean is 0.56 as mentioned.
Standard deviation shows, how much of data is away from mean.
Standard deviation shows the variability of data.
Standard deviation of Red hawks and Hurricane is 8 and 4.
Red hawks is 8 further away from mean.
Hurricane is 4 further away from mean.
Hurricane is closer because they are consistent.

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3 years ago

Help me thanks<br> Xxxxxxxxx

Vilka [71]

Answer:

The answer is C.

Step-by-step explanation:

8 0

3 years ago

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The lines are parallel. Find the slope-intercept form of the equation y₂.

Bas_tet [7]

Since the lines are parallel and you know the slope of $y_{1}$ is -2, you know the slope of line $y_{2}$ will also be -2. You can see on the coordinate grid that line $y_{2}$ crosses the y-axis at -1. When you piece all of these facts together into slope-intercept form you get $y_{2}$ = -2x - 1.

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4 years ago