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2 years ago

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Sarah spends 1/6 hour vacuuming her mom's car. She spends 4 times as long washing the car. Then she spends twice as long waxing

the car as she does washing the car. What is the total amount of time Sarah spends vacuuming, washing, and waxing her mom's car?

1 answer:

juin [17]2 years ago

3 0

your answer will be 2 hours and 10 minutes

mark brainliest

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Which phrase describes the perpendicular distance between two bases of a cylinder

Flura [38]

Answer:

The height of the cylinder

Step-by-step explanation:

The perpendicular distance between two bases of a cylinder is not going to be the radius or diameter of the bases (because it is BETWEEN the bases, not ON them) and it is not the area of the bases because the area of a shape cannot be a distance.

So, the only option left is the height of the cylinder, which is the correct answer.

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1 year ago

After a dreary day of rain, the sun peeks through the clouds and rainbow forms. You notice the rainbow is the shape of a parabol

lisabon 2012 [21]

Answer:

We are given that,

The equation of the rainbow is represented by the parabola,

$y=-x^2+36$

Now, we are required to find a linear equation which cuts the graph of the parabola at two points.

Let us consider the equation joining the points (-6,0) and (0,36), given by $y=6x+36$ .

So, the corresponding table for the linear equation is given by,

x $y=6x+36$

-6 0

0 36

1 42

6 72

Now, we will answer the questions corresponding the functions.

1. Domain and Range of the rainbow.

Since, the equation of the rainbow is $y=-x^2+36$

So, from the figure, we get that,

Domain is the set of all real numbers.

Range is the set $\{ y|y\leq 36 \}$

<em>Here, domain represents the points which are used to plot the path of the rainbow and range represents the points which are form the rainbow.</em>

Not all points make sense in the range as the parabola is opening downwards having maximum point as (0,36).

2. X and Y-intercepts of the rainbow.

<em>As, the 'x and y-intercepts are the points where the graph of the function cuts x-axis and y-axis respectively i.e. where y=0 and x=0 receptively'.</em>

We see that from the figure below,

X-intercepts are (-6,0) and (6,0) and the Y-intercept is (0,36)

<em>Here, these intercepts represents the point where the parabola intersects the individual axis.</em>

3. Is the linear function positive or negative.

As the linear function is $y=6x+36$ represented by the <em>upward flight of the drone.</em>

So, the linear function is a positive function.

4. The solution of the system of equations is the intersection points of their graphs.

So, from the figure, we see that the equations intersect at the points (-6,0) and (0,36).

<em>Thus, the solution represents the position when both the drone and rainbow intersect each other.</em>

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2 years ago

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Simplify i³⁸. [i=√(-1)]

Tju [1.3M]

For the answer to the question above, the answer is simple, and it is -1 (because even powers of an imaginary number or i will always give a -1).I hope my answer helped you with your problem. Have a nice day!

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2 years ago

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What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply. Start Fraction (9.6 times

bija089 [108]

Answer:

B.The exponent of the solution is –12, the difference of the original exponents.

C.The coefficient of the solution must be greater than or equal to one but less than 10.

D.The quotient is 3.0 × $10^{-12}$

Step-by-step explanation:

We are finding the quotient of the expression below in scientific notation

$\dfrac{9.6X10^{-8}}{3.2X10^4} \\=\dfrac{9.6}{3.2}X10^{-8-4}\\ =3 X 10^{-12}$

The following conclusions can be drawn

B.The power of 10 in the solution is –12, the difference of the original exponents.

C.The coefficient is 3, which is greater than or equal to one but less than 10.

D.The quotient is 3.0 × $10^{-12}$

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2 years ago

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HELP PLS>>> The vector (3, - 7) ) is rotated by an angle of (3pi)/4 radians and then reflected across the y-axis. If th

horsena [70]

Answer:

$a \approx -2.826$ , $b \approx 7.072$

Step-by-step explanation:

First, the vector must be transformed into its polar form:

$r = \sqrt{3^{2}+ (-7)^{2}}$

$r \approx 7.616$

$\theta \approx 2\pi - \tan^{-1}\left(\frac{7}{3} \right)$

$\theta \approx 1.629\pi$

Let assume that vector is rotated counterclockwise. The new angle is:

$\theta' = \theta + \frac{3\pi}{4}$

$\theta' = 2.379\pi$

Which is coterminal with $\theta'' = 0.379\pi$ . The reflection across y-axis is:

$\theta''' = \pi - \theta''$

$\theta''' = 0.621\pi$

The equivalent vector in rectangular coordinates is:

$a = 7.616\cdot \cos 0.621\pi$

$a \approx -2.826$

$b = 7.616\cdot \sin 0.621\pi$

$b \approx 7.072$

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2 years ago