Answer:
16.4 m to the nearest tenth.
Step-by-step explanation:
After the first bounce it rises to a height of 50*0.8 = 40 m.
After the next bounce it rises to 50*(0.8)^2 = 32 m
So after the 5th bounce it rises to 50(0.8)^5 = 16.4 m. (answer).
The number of bananas required to make the third scale balance is 3.
<h3>What is a scale?</h3>
A scale is a tool used for weighting objects. If the objects on each side weigh the same the scale is balanced. Based on this, let's determine the possible weight of each fruit to balance the last scale.
- Scale 1 (10 bananas/ 2 pineapples)
It is known 10 bananas weigh as much as 2 apples, but to solve this problem let's assume 10 bananas weigh a total of 1000 grams.
- 10 banans = 1000 grams = each banana weighs 100 grams
- 2 pineapples = 1000 grams = each pineapple weighs 500 grams
Scale 2 ( 1 pineapple / 2 bananas, 1 apple)
Using the same imaginary weights let's find the weight of the apple.
- 1 pineapple = 500 grams
- 2 bananas = 200 grams
- 1 apple = 300 grams (500 - 200 = 300)
Scale 3 (1 apple /x )
We know 1 apple is equal to 300 grams and 1 banana is equal to 100 grams. Based on this, the number of bananas to balance the scale is 3.
Learn more about balance in: brainly.com/question/7181548
Answer:
4
Step-by-step explanation:
The average of the consecutive integers is 0, so the middle number must be 0, with 4 numbers less than 0 and 4 numbers greater than 0.
-4, -3, -2, -1, 0, 1, 2, 3, 4
So the largest integer is 4.
I have attached a screenshot with the images of the two popcorn bags used by the theater.
Part (a):Bag A:Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 3 in
width = 4 in
Therefore:
96 = 3 * 4 * height
96 = 12 * height
height of bag A = 8 inBag B:Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 4 in
width = 4 in
Therefore:
96 = 4 * 4 * height
96 = 16 * height
height of bag B = 6 inPart (b):To determine the amount of paper needed, we will need to calculate the surface of each bag. Excluding the top base, each bag will have 5 faces. Four side faces (each two opposite are equal) and the base.
Bag A:Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (3*4) + 2(8*4) + 2(8*3)
Surface area = 12 + 64 + 48
Surface area of bag A = 124 in²Bag B:Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (4*4) + 2(6*4) + 2(6*4)
Surface area = 16 + 48 + 48
Surface area of bag B = 112 in²From the above calculations, we can deduce that
the theater should choose bag B in order to reduce the amount of paper needed.
Hope this helps :)
The domain is all the x values (range is y values). Remember to put the x values in numerical order.
So: Domain = {-5, -5, -2, 3}.