Answer:
t = 10

t = 100

t = 1000

Step-by-step explanation:
The area under the curve is calculated by using the following definite integral:



Evaluated areas are presented below:
t = 10

t = 100

t = 1000

Answer:b
x=3-y/7
Multiple 7
7x=3-y
Subtract 3
7x-3=-y
Times both sides by negative 1
-7x+3
Answer:
slope = 
Step-by-step explanation:
calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (2, - 9 ) and (x₂, y₂ ) = (12, 6 )
m =
=
=
= 
Answer:
The midpoint is (8,9.5)
Step-by-step explanation:
The midpoint is found by averaging the x coordinates and the y coordinates
x = (x1+x2)/2 y = (y1+y2)/2
x = (13+3)/2 = 16/2 = 8
y = (5+14)/2 = 19/2 = 9.5
The midpoint is (8,9.5)
Answer:
B. -0.5
D. -1/19
Step-by-step explanation:
-.7 < ______ < 1/4
Lets change the fraction to a decimal
1/4 *25/25 = 25/100 = .25
-.7 < ______ < .25
We need a number between -.7 and + .25
-.5 is between these two numbers so that is 1 solution
-1/19 is close to -1/20
-1/20 *5/5 = -5/100 = -.05
This is between the two numbers
-1/19 = -.052631579
I approximated because I could tell it was not close to either end point.