Answer:
.07 * 15.25 = 1.0675
Step-by-step explanation:
Answer:
4 trips
Step-by-step explanation:
Given that:
Dimension of rectangular tank :
(20cm * 30cm * 40cm)
Dimension of cubic container used to fill tank = 20cm per side
Volume of tank = (20 * 30 * 40) = 24400 cm³
Volume of cubic container = (20 * 20 * 20) = 8000 cm³
Number of trips it would take :
Volume of tank / volume of container
24400 cm³ / 8000 cm³
= 3.05
Hence, it will take 4 trips
The area of a triangle is found using the formula Area = 1/2 x base x height.
Base = 8
Height = 18.
The area of 1 triangle = 1/2 x 8 x 18 = 72 square units.
There are a total of 4 sides, so total area = 72 x 4 = 288 units ^2
Answer: 100
Step-by-step explanation:
Answer:

Step-by-step explanation:
Ok, so we start by setting the integral up. The integral we need to solve is:

so according to the instructions of the problem, we need to start by using some substitution. The substitution will be done as follows:
U=5+x
du=dx
x=U-5
so when substituting the integral will look like this:

now we can go ahead and integrate by parts, remember the integration by parts formula looks like this:

so we must define p, q, p' and q':
p=ln U


q'=U-5
and now we plug these into the formula:

Which simplifies to:

Which solves to:

so we can substitute U back, so we get:

and now we can simplify:



notice how all the constants were combined into one big constant C.