Add or subtract the fractions. Write your answer in<br> simplest form.

A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height

Lady_Fox [76]

Problem

A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height have been increased by 15%.

By what percentage does the volume increase from the smaller can to the larger can? Round your answer to the nearest percent.

Solution

the volume of a cylinder is given by:

$V=\pi r^2h$

We know that the diameter=radius and the height are increased by 15% so then the new volume can be calculated on this way:

$V=\pi(1.15r)^2\cdot(1.15h)=1.15^2\cdot1.15\cdot\pi\cdot r^2\cdot h=1.52\pi r^2h$

And the new volume would increase about 52%

5 0

1 year ago

Explain why P(A|D) and P(D|A) from the table below are not equal.

11Alexandr11 [23.1K]

Answer:

The two conditional probabilities are not equal because each has different given events. P(A|D) has event D as its given event, resulting in 2/10 for a probability. P(D|A) has event A as its given event, resulting in 2/8 for a probability.

Other part is:

different given events

P(A|D) equals 2/10

P(D|A) equals 2/8

7 0

3 years ago

Read 2 more answers

In training, Jayden does reps where he bench presses 65 kilograms. How many reps does he have to do to bench press a total of 1

WITCHER [35]

He would have to do 15.384 reps

5 0

4 years ago

A boat on a river travels downstream between two points, 90 mi apart, in 1 h. The return trip against the current takes 2 1 2 h.

docker41 [41]

Answer:

A)63miles per hour.

B)27 miles per hour

Step-by-step explanation:

HERE IS THE COMPLETE QUESTION

boat on a river travels downstream between two points, 90 mi apart, in 1 h. The return trip against the current takes 2 1 2 h. What is the boat's speed (in still water)??b) How fast does the current in the river flow?

Let the speed of boat in still water = V(boat)

speed of current=V(current)

To calculate speed of boat downstream, we add speed of boat in still water and speed of current. This can be expressed as

[V(boat) +V(current)]

It was stated that it takes 1hour for the

boat to travels between two points of 90 mi apart downstream.

To calculate speed of boat against current, we will substact speed of current from speed of boat in still water. This can be expressed as

[V(boat) - V(current)]

and it was stated that it takes 2 1/2 for return trip against the Current

But we know but Speed= distance/time

Then if we input the stated values we have

V(boat) + V(current)]= 90/1 ---------eqn(1)

V(boat) - V(current) = 90/2.5----------eqn(2)

Adding the equations we have

V(boat) + V(current) + [V(boat) - V(current)]= 90/2.5 + 90/1

V(boat) + V(current) + V(boat) - V(current)]=90+36

2V(boat)= 126

V(boat)=63miles per hour.

Hence, Therefore, the speed of boat in still water is 63 miles per hour.

?b) How fast does the current in the river flow?

the speed of the current in the river, we can be calculated if we input V(boat)=63miles per hour. Into eqn(1)

V(boat) + V(current)]= 90/1

63+V(current)=90

V(current)= 27 miles per hour

Hence,Therefore, the speed of current is 27 miles per hour.

7 0

3 years ago

If x = 2 and y = -3, what is the value of 2x^2 + 3xy – 2y^2?

sammy [17]

Answer: Given as,X=2 & Y=3,

now multiplying we get,

2xxy=2×2×3=12

Ans.) 12

Step-by-step explanation:

7 0

3 years ago

Add or subtract the fractions. Write your answer in simplest form.