(4,-2) and (-2,-2) write the equation.

as Saturn revolves around the sun, it travels at a speed of approximately 6 miles per second. convert this speed to miles per mi

3241004551 [841]

Given:

Speed = 6 miles per second

If the Saturn revolves 6 miles in 1 second then the speed is:

$\begin{gathered} In\text{ 1 second distance is 6 miles} \\ So\text{ in 60 second distance is =6}\times60\text{ miles} \\ =360 \end{gathered}$

So speed in minutes is 360 miles per min.

In 3 minutes traveling distance is:

$\begin{gathered} =360\times3 \\ =1080 \end{gathered}$

3 0

1 year ago

Suppose y varies inversely as x, and y=25 when x=3. Find x when y=15

malfutka [58]

Answer:

If

y

varies inversely as

x

then

XXX

x

⋅

y

=

c

for some constant

c

We are told when

x

=

2

then

y

=

15

So

XXX

2

⋅

15

=

c

XXX

⇒

c

=

30

and

XXX

x

⋅

y

=

30

Therefore when

y

=

3

XXX

x

⋅

3

=

30

XXX

→

x

=

10

Step-by-step explanation:

3 0

3 years ago

A company produces two types of solar panels per year: x thousand of type A and y thousand of type B. The revenue and cost equat

jolli1 [7]

Answer:

7000 type A
6000 type B

Step-by-step explanation:

We assume your equations are intended to be ...

$C(x,y)=x^2-2xy+9y^2+3x-87y-6\\R(x,y)=5x+7y$

Then the profit equation is ...

$P(x,y)=R(x,y)-C(x,y)=5x+7y-x^2+2xy-9y^2-3x+87y+6\\=-x^2+2xy-9y^2+2x+94y+6$

The partial derivatives of profit with respect to x and y are zero when profit is maximized.

∂P/∂x = 0 = -2x +2y +2

∂P/∂y = 0 = 2x -18y +94

Simplifying, these equations are ...

y = x -1
x -9y = -47

Substituting the first into the second gives ...

x -9(x -1) = -47

-8x = -56

x = 7

y = 7 -1 = 6

The company will maximize profit by selling 7000 panels of type A and 6000 panels of type B.

5 0

3 years ago

Miranda earned $c for working 8 hours. Write an expression to show how much Miranda earned for each hour she worked.

BabaBlast [244]

$c/8
You would substitute the c for the pay per hours and follow the expression through to determine each hour's pay, but since it's not asking for an equation, you don't need to add =(amount) to the end

3 0

3 years ago

Two examples of likely and unlikely events in mathematics probability

Bond [772]

Answer:

what's likely is times or Addition less like likely is subtraction or rounding

5 0

2 years ago

(4,-2) and (-2,-2) write the equation.​

(4,-2) and (-2,-2) write the equation.