Answer:
height = 20 cm
Step-by-step explanation:
The volume (V) of a cylinder is calculated using the formula
V = πr²h ← r is the radius and h the height
given r = 12 and V = 2880π, then
π × 12²h = 2880π
144πh = 2880π ( divide both sides by 144π )
h = 
= 20
Answer: point F is at <u> 0.6 </u> on the number line
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Explanation:
The ratio 2:3 scales up to 2x:3x for some positive real number x.
This means the distance from D to F is 2x units, and the distance from F to E is 3x units. Combine those two smaller distances to get 2x+3x = 5x to represent the full distance from D to E.
D is at -3 and E is at 6. This is a distance of 9 units since |-3-6| = |-9| = 9
Set this equal to the 5x from earlier and solve
5x = 9
x = 9/5
x = 1.8
This leads to 2x = 2*1.8 = 3.6
Therefore, we'll move 3.6 units from -3 to -3+3.6 = 0.6 which is the location of point F on the number line.
Notice that from 0.6 to 6 is 5.4 units and that 3x = 3*1.8 = 5.4 matches up to help confirm the answer.
Answer: y = (1 - 0.527)^t
Step-by-step explanation:
y=e^(-0.75t)
y=(e^-0.75)^t
y= 0.47236655^t
1 - 0.47236655 = 0.52763345
y = (1 - 0.527)^t
3-(2x-5)=-4(x+2)
We simplify the equation to the form, which is simple to understand
3-(2x-5)=-4(x+2)
Remove unnecessary parentheses
3-2x+5=-4*(x+2)
Reorder the terms in parentheses
3-2x+5=+(-4x-8)
Remove unnecessary parentheses
+3-2x+5=-4x-8
We move all terms containing x to the left and all other terms to the right.
-2x+4x=-8-3-5
We simplify left and right side of the equation.
+2x=-16
We divide both sides of the equation by 2 to get x.
x=-8
Answer:
For every 1 liter of bleach there are 9 liters of water in the solution
Step-by-step explanation:
∵ The ratio of bleach to water in a cleaning solution is 2 : 18
- That means for every 2 liters of bleach there is 18 liters of water
∵ There is 1 liter of bleach
- Let us use the ratio method
→ bleach : water
→ 2 : 18
→ 1 : x
- By using cross multiplication
∴ x × 2 = 1 × 18
∴ 2 x = 18
- Divide both sides by 2
∴ x = 9
∵ x represents the number of liters of the water in the solution
∴ The number of liters of the water in the solution is 9
For every 1 liter of bleach there are 9 liters of water in the solution
