What is the rate he charges to mow?

The lemonade stand at the county fair sells the lemonade at a price of two cups for $3.60. Complete the table at right to find w

kakasveta [241]

$3.60 for 2 cups would be $1.80 for one cup.

$3.60 for 2

$5.40 for 3

$7.20 for 4

$9 for 5

$10.80 for 6

$12.60 for 7

$14.40 for 8

4 0

3 years ago

Combine the like terms of the expression (8 + 6x) + (-4 + 9c). Explain how you simplified the expression in each step. * pls hel

Delicious77 [7]

Answer: 6x+9c+4

Step-by-step explanation: (8 + 6x) + (-4 + 9c)

8+6x-4+9c

6x+9c+8-4

6x+9c+4

8 0

3 years ago

Let X be a continuous random variable with density functionf(x)={1−|x|0 for −1

BlackZzzverrR [31]

Answer:

$f_Y (y) =\frac{d}{dy} = 2 \frac{1}{2 |\sqrt{y}|} -1 = \frac{1}{|\sqrt{y}|} -1,0 \leq Y\leq 1$

Step-by-step explanation:

For this case we want to find the density function for $Y=X^2$

And we have the following density function for the random variable X:

$f(X) = 1- |X|,-1 \leq X \leq 1$

So we can do this replacing $Y=X^2$

$F_Y (Y \leq y) = P(X^2 \leq y)$

If we apply square root on both sides we got:

$P(-\sqrt{y} \leq X \leq \sqrt{y}) = \int_{-\sqrt{y}}^0 1+t dt +\int_{0}^{\sqrt{y}} 1-t dt$

And if we integrate we got this:

$F_Y (y) = [t+ \frac{t^2}{2}] \Big|_{-\sqrt{y}}^0+ [t -\frac{t^2}{2}] \Big|_{0}^{\sqrt{y}}$

And replacing we got:

$F_Y (y) = [0 -(-\sqrt{y} +\frac{y}{2})] + [\sqrt{y} -\frac{y}{2}]$

$F_Y (y) = 2 |\sqrt{y}| -y$

And if we want to find the density function we just need to derivate the pdf like this:

$f_Y (y) =\frac{d}{dy} = 2 \frac{1}{2 |\sqrt{y}|} -1 = \frac{1}{|\sqrt{y}|} -1,0 \leq Y\leq 1$

3 0

4 years ago

A satellite in a circular orbit 1250 kilometers above Earth makes one complete revolution every 110 minutes. What is its linear

Ivenika [448]

Answer:

$\large \boxed{\text{approximately 435.7 km/min}}$

Step-by-step explanation:

1. Angular speed

The angular speed ω is the angle θ swept out by the satellite in a given time t.

$\omega = \dfrac{\theta}{t} = \dfrac{2\pi}{\text{110 min}}$

2. Linear speed

The formula for the linear speed v is

v = rω, where

r = the distance from the centre of the Earth = 6378 km + 1250 km = 7628 km

$\begin{array}{rcl}v & = & r\omega\\& = & \text{7268 km} \times \dfrac{2\pi}{\text{110 min}}\\\\& \approx & \textbf{435.7 km/min}\\\end{array}\\\text{The linear speed of the satellite is $\large \boxed{\textbf{approximately 435.7 km/min}}$}$

7 0

3 years ago

Can someone please explain this to me? I don't get it

alina1380 [7]

A straight line is equal to 180, anything going all around is 360 if the angles are crossing eachother then the angles across from eachother are equal so x=z
X+150=180, Im not good at explaining sorry, but i know what I’m doing yk just lmk sorry if it didn’t help

8 0

3 years ago

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