Answer: 5,376in.
Step-by-step explanation:
Volume of a prism = Bh
B = 1/2bh
B = 7 x 24 = 168
168 x 32 = 5,376in.
Answer: 0
First: Move constant to the left by adding its opposite to both sides
-3x+2y-7=7-7
Then: Change the signs on both sides of the equation
3x-2y+7
Equaling: 3x-2y+7=0
We have been given that Jackson purchases a new car for $48,000. The car's value can be modeled by the following exponential function:
where y represents the car's value and t represents time in years. We are asked to find the decay rate as a percentage.
We know that an exponential decay function is in form
, where,
y = Final value,
a = Initial value,
r = Decay rate in decimal form,
x = time.
Upon comparing our given function
with standard decay function
, we can see that
.
Let us solve for r.



Let us convert 0.24 into percentage.

Therefore, the decay rate is 24%.
<span>First of all to calculate the distance between two points we can use distance formula
d=Square Root [(x2-x1)^2 + (y2-y1)^2]
Now substitute the given points p(x1,y1) and q(x2,y2)in above distance formula
The values are X2=3, X1=8and Y2=8and Y1=2.
After Substituting the values
d=Square Root[(-5)^2+(6)^2]
d=Square Root(25+36]
d=Square Root[61]
d=7.8
7.8 is the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.</span>