A squirrel has stored its acorns in a hole that is 45 feet from the ground in a tall tree. The squirrel starts on a perch 100 feet above the ground. The squirrel moves from the perch down to its stored acorns in 5.25 seconds. Interpret the quotient to describe the rate of change in the squirrel’s height above the ground. Give your answer to the nearest hundredth.
dont trust the bot or u will get an f 1.-10.48 2.-1.08 3.-0.99 4.-333.33 5.-4 6.1/2 . 1/4 7.-9 1/3 ÷ 2 8. 3.64
RWQFSFASXC is right!
A1: 10.48
A2: -1.08
A3: -0.99
A4: -333.33
A5: -4
I don't know why they have 8 questions. But they are probably right either way.
Sorry. For the first question, make sure to add a negative symbol. I forgot that.
TYSM, RWQFSFASXC! You saved my bacon!
The quotient describes the rate of change in the squirrel's height above the ground. To find the rate of change, we divide the change in height by the time taken to cover that height.
The squirrel starts on a perch 100 feet above the ground and moves down to its stored acorns, 45 feet from the ground. So, the change in height is 100 - 45 = 55 feet.
The squirrel takes 5.25 seconds to cover this 55-foot distance.
Rate of change = Change in height / Time taken
Rate of change = 55 feet / 5.25 seconds
Calculating, we find the rate of change to be approximately 10.48 feet per second.
Therefore, the rate of change in the squirrel's height above the ground is 10.48 feet per second.
Solve using division of rational numbers. If a car’s value decreases by $4000 in the first 12 months, how much does the value decrease per month? (Round to the nearest hundredth.)
To find out how much the car's value decreases per month, we divide the total decrease in value by the number of months.
The car's value decreases by $4000 in the first 12 months. Therefore, the total decrease in value is $4000.
To find the value decrease per month, we divide the total decrease by the number of months:
Value decrease per month = Total decrease / Number of months
Value decrease per month = $4000 / 12
Performing the division, we find that the value decrease per month is approximately $333.33
Therefore, the car's value decreases by approximately $333.33 per month.
It is recommended that hikers drink 24 ounces of water an hour. If a canteen has 24 ounces of water, how much should the amount of water in the canteen change every 10 minutes?
To find out how much the amount of water in the canteen should change every 10 minutes, we need to determine the proportion of water that should be consumed in that time period.
The recommended amount is 24 ounces of water per hour. Since we want to calculate the change in the amount of water every 10 minutes, we can consider the proportion of 10 minutes to an hour.
There are 60 minutes in an hour, so 10 minutes is 10/60 = 1/6 of an hour.
To find the proportion of water that should be consumed in 10 minutes, we multiply the recommended amount per hour by the proportion of 10 minutes to an hour:
Amount of water to be consumed in 10 minutes = 24 ounces per hour * (1/6 of an hour)
Simplifying, we have:
Amount of water to be consumed in 10 minutes = 24/6
Amount of water to be consumed in 10 minutes = 4 ounces
Therefore, the amount of water in the canteen should change by 4 ounces every 10 minutes.