Answer:
1) The velocity at this time is of 
meters per second.
2) The velocity at this time is of 
meters per second.
Step-by-step explanation:
This question involves concepts of derivatives.
The velocity is the derivative of the position.
We use these following derivatives:
1) s = 1 + 9(cos t)
Find the body's speed at time t=pi/3 sec.
We have to find the derivative at 
. So
is a common angle, which has a sine of 
. So
The velocity at this time is of meters per second.
2) s = 12(sin t) - (cos t)
Find the body's velocity at time t=pi/4 sec.
We have to find the derivative at 
. So
is a common angle, which has both sine and cosine of 
. So
The velocity at this time is of meters per second.
Answer:
$80000
Step by step explanation:
start by adding all the ratios.
2+3+4=9
next devide $360000 by 9
that should give you $40000
then look at the smallest ratio with is 2 which means you must double the amount.
so that means $40000x2= $80000
$80000 is your answer
hope this helps!
4x-2y=10
7x+2y=23
First, we can solve one of the problems in order to come up with an expression to represent y.
-2y=4x+10
y=-2x-5
Now that we have our y value, we can plug it in to the other equation.
7x+2(2x-5)=23
7x+4x-10=23
11x=33
x=3
There's your x value, 3. I am going to solve for y as well just so that you can see how to check your work.
We can plug our x value into the other equation now to find y.
4(3)-2y=10
12-2y=10
-2y=-2
y=1
Would you look at that? We have both the x and y values. Now we can just plug them in to either equation.
7(3)+2(1)=23
21+2=23
23=23
23 indeed equals 23, therefore proving that both variables are correct. There you go!
Answer: what are the all that apply
Step-by-step explanation:
Answer:
The answer would be 2x + 7y = 30
Step-by-step explanation:
First we need to find the slope of the original line. We can do this by solving for y.
7y = -2x
y = -2/7x
Now we can use that slope and the point in point-slope form to get the answer. You'll need to solve for the constant.
y - y1 = m(x - x1)
y + 2 = -2/7(x - 8)
y + 2 = -2/7x + 16/7
2/7x + y + 2 = 16/7
2/7x + y = 30/7
2x + 7y = 30
