As the variation is direct we have:
We must find the value of k.
For this, we use the following data:
y = 200 when x = 5
Substituting values we have:
Clearing k:
Then, the function is:
We evaluate the function for x = -3
Answer:
the value of y when x = -3 is:
c.
72
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
Total amount paid if he bought = 6000 + 726(12 x 3) = 6000 + 726(36) = 6000 + 26,136 = 32,136
Total amount paid if he rents = 2000 + 37P, where P is the monthly rent
For renting to be cheaper
2000 + 37P < 32,136
37P < 32136 - 2000 = 30136
P < 30136 / 37 = 814.49
Therefore, the maximum rent he could pay is $814
Answer:
105.
Step-by-step explanation:
21+21+21+21+21=105.
Answer:
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
8
x
−
12
<
8
x
+
8
Step 2: Subtract 8x from both sides.
8
x
−
12
−
8
x
<
8
x
+
8
−
8
x
−
12
<
8
Step 3: Add 12 to both sides.
−
12
+
12
<
8
+
12
0
<
20
