(x^2 + 3)(5x + 9)
5x^3 + 9x^2 + 15x + 27
We need to write an expression for "add 34 and 6 and then multiply 3"
"Add" represents + operation .
"multiply" represents × operation.
We need to add 34 and 6.
So, we can write 34+6 and then we need multiply the sum by 3.
So, we need to keep above addition of 34 and 6 in parantehsis. We get
(34+6) × 3.
So, the final expression is (34+6) × 3.
Answer:
1.25.
Step-by-step explanation:
The common ratio r is 1/5 and the first term a1 = (1/5)^(1-1) = 1.
Sum to infinity = a1 / (1 - r)
= 1 / (1 - 1/5)
= 1 / 4/5
= 5/4
= 1.25 (answer)
Answer:
8 π .
Step-by-step explanation:
radius increases at a constant rate of 1 in/sec.
dr / dt = 1
where r is radius .
radius after 4 sec
r = 1 x 4 = 4 in
area A = π r²
differentiating both sides
dA / dt = 2 π r dr / dt
Putting dr / dt = 1 , r = 4 in
dA / dt = 2 π x 4 x 1
= 8 π sq in per sec.
Area increases at the rate of 8 π per sec.
