Answer:
-7/ 48
Step-by-step explanation:
Given that:
Average change in water level per 3 years = - 7/16
This means the water level decreases by - 7/16 on average every 3 years
The change in water level after a year will be ;
-7/16 = 3
x = 1
Cross multiply ;
3x = - 7/16
Divide both sides by 3
x = -7/16 ÷ 3
x = - 7/16 * 1/3
x = - 7 / 48
Hence, water level will change by - 7/48 after a year.
Answer:
Step-by-step explanation:
Given
See attachment for matrix
From the attachment, we have the following vertices
When scaled by 3T, we have the following:
Hence, the vertices are:
B. Because of the slope and where it the lines intersect the y axis
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
Y=2/3x+4
Y intercept is 4
Points hit 2 up 3 over
