5
2 = 32
Exponents are like a simplified or easier version of multiplying
2*2*2*2*2
People use exponents in real life. For an example, they use it for finding cubic feet ,square feet, or area of something or an object.
Sorry if I am bad at explaining this or if I confused you
Answer:
Step-by-step explanation:
1. bottom left
Answer:
5
Step-by-step explanation:
3+2x = 4x-7
3+7=4x-2x
x=5
Answer:
The integral is equal to
for an arbitrary constant C.
Step-by-step explanation:
a) If
then
so the integral becomes
. (the constant of integration is actually 5C, but this doesn't affect the result when taking derivatives, so we still denote it by C)
b) In this case
hence
. We rewrite the integral as
.
c) We use the trigonometric identity
is part b). The value of the integral is
. which coincides with part a)
Note that we just replaced 5+C by C. This is because we are asked for an indefinite integral. Each value of C defines a unique antiderivative, but we are not interested in specific values of C as this integral is the family of all antiderivatives. Part a) and b) don't coincide for specific values of C (they would if we were working with a definite integral), but they do represent the same family of functions.
Answer:
Area of the garden = 98 + 19.25 = 117.25 ft²
Step-by-step explanation:
Area of the garden = area of the rectangle + area of the semi-circle
Area of the rectangle = L x B = 14 x 7 = 98 ft²
Area of the semi-circle = 1/2 x πR² = 1/2 x 22/7 x 3.5² = 19.25 ft²
Hence area of the garden = 98 + 19.25 = 117.25 ft²