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3 years ago

6

Quincy was stuck inside during an afternoon rainstorm. He spent 20 minutes reading books, 18 minutes eating lunch, 12 minutes wa

tching TV, and 10 minutes drawing.
For every 10 minutes Quincy was inside he spent 3 minutes

1 answer:

Scorpion4ik [409]3 years ago

6 0

Answer:

the hell you are talking about?

Step-by-step explanation:

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Evaluate <br> 3^-3*3^4*3*3^-5

miss Akunina [59]

To multiply exponents with like bases, simply add the exponents...

3^-3 × 3^4 × 3 × 3^-5 =

add exponents across, remember just 3 means 3^1.

-3 + 4 + 1 + -5 = -3

answer is 3^-3

8 0

3 years ago

Boatesville is 65 3/5 kilometers from Stanton. A bus traveling from Stanton is 24 1/3 kilometers from Boatesville. Write an equa

Elena L [17]

Distance the bus has traveled :

$65 \dfrac{3}{5} - 24\dfrac{1}{3}$

$= 65 \dfrac{3 \times 3 }{5 \times 3} - 24\dfrac{1 \times 5}{3 \times 5}$

$= 65 \dfrac{9 }{15} - 24\dfrac{5}{15}$

$= 41 \dfrac{4 }{15} \text { km}$

--------------------------------------------------------------------------------------------------
$\text {Answer : The bus has traveled }41 \frac{4}{5} \text { km}$
--------------------------------------------------------------------------------------------------

8 0

3 years ago

John sells appliances for a living. He sold a

Thepotemich [5.8K]

Answer:

95$!

Step-by-step explanation:

475 x 20% = 95

8 0

3 years ago

How many solutions does this system of Equations have x-2y=2 y=-2x+5

gayaneshka [121]

Answer:

One solution: x=2.4, y=0.2

Step-by-step explanation:

x-2y=2

y=-2x+5

x-2(-2x+5)=2

x+4x-10=2

5x=2+10=12

x=12:5=2.4

y=-2x+5=-2*2.4+5=-4.8+5=0.2

3 0

3 years ago

A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the ground. If the Ferris wheel makes one comp

Morgarella [4.7K]

Answer:

$y = 11 - 10cos(0.1\pi t)$

Step-by-step explanation:

Suppose at t = 0 the person is 1m above the ground and going up

Knowing that the wheel completes 1 revolution every 20s and 1 revolution = 2π rad in angle, we can calculate the angular speed

2π / 20 = 0.1π rad/s

The height above ground would be the sum of the vertical distance from the ground to the bottom of the wheel and the vertical distance from the bottom of the wheel to the person, which is the wheel radius subtracted by the vertical distance of the person to the center of the wheel.

$y = h_g + d_b = h_g + R - d_c$ (1)

where $h_g = 1$ is vertical distance from the ground to the bottom of the wheel, $d_b$ is the vertical distance from the bottom of the wheel to the person, R = 10 is the wheel radius, $d_c$ is the vertical distance of the person to the center of the wheel.

So solve for $d_c$ in term of t, we just need to find the cosine of angle θ it has swept after time t and multiply it with R

$d_c = Rcos(\theta(t)) = Rcos(\omega t) = 10cos(0.1\pi t)$

Note that $d_c$ is negative when angle θ gets between π/2 (90 degrees) and 3π/2 (270 degrees) but that is expected since it would mean adding the vertical distance to the wheel radius.

Therefore, if we plug this into equation (1) then

$y = h_g + R - d_c = 1 + 10 - 10cos(0.1\pi t) = 11 - 10cos(0.1\pi t)$

7 0

3 years ago