Answer:
C.) x≥
-2/3
Step-by-step explanation:
Who says V1=V2?
if we simplify we get
(2/3)pir₁³=12pir₂²
for V1 to equal V2
a.
solve for r₁ to find r₁ as a function of r₂
(2/3)pir₁³=12pir₂²
times 3/2 both sides and divide by pi
r₁³=18r₂²
cube root both sides
r₁=∛(18r₂²)
if solve for r₂
(2/3)pir₁³=12pir₂²
divide by 12pi both sides
(1/18)r₁³=r₂²
squer root both sides
√((1/18)r₁³)=r₂
double radius of pond which is r1
√((1/18)r₁³)=r₂
r₁ turns to 2r₁ to double radius
√((1/18)(2r₁)³)=r₂double
√(8(1/18)(r₁)³)=r₂double
(√8)(√((1/18)(r₁)³))=r₂double
√((1/18)r₁³)=r₂ so
(√8)(r₂)=r₂double
(2√2)(r₂)=r₂double
the radius of the tank is multipled by 2√2
The answer is 24 to the 4th power
Answer: 200 miles per hour
Step-by-step explanation:
200miles per 60 minuets
1/2 hour = 30 minuets
200/0.5 = 100
Therefore, to travel 100 miles in 1/2 an hour you would have to be going 200 miles per hour.
Answer:
Even
Step-by-step explanation:
An even number is a number that can be divisible by 2 without a remainder. An odd number can be divisible by 2 and it's remainder is 1.
Let's put that to the test!
3100/2=1550 R:0
R is the remainder, which is 0. So the quotient thereby proves that 3100 is even and not odd.
Hope this helps!
--Applepi101