The road trip is 2916 miles long, if she wants to complete the trip in 6 days she will need to drive ___ miles per-day.
To figure this out we will need to divide 2,916 by 6 days
2,916/6 = 486 miles
Answer:
-4x-13
Step-by-step explanation:
To figure out the sum, you have to add like terms.
This is how it would look like:

Answer:
1 1/4 liters of paint
Step-by-step explanation:
Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1LaTeX: \frac{3}{5}3 5 doors. How many liters of paint are needed for 1 door?
From the above question, we can deduce that:
2 liters of paint covers 1 3/5 doors
Hence:
1 3/5 doors = 2 liters of paint
1 door = x liters of paint
Cross Multiply
1 3/5 doors × x liters = 2 liters × 1 door
x liters = 2 liters × 1 door/ 1 3/5 doors
x liters = 2 ÷ 1 3/5
x liters = 2 ÷ 8/5
x liters = 2 × 5/8
x liters = 5/4 liters
x liters = 1 1/4 liters of paint
Hence: 1 1/4 liters of paint is needed for 1 door
Answer:
Step-by-step explanation:
We have volume of cone as

and for a cone always r/h = constant
Given that r' = rate of change of radius = -7 inches/sec
(Negative sign because decresing)
V' =- 948 in^3/sec
Radius = 99 inches and volume = 525 inches
Height at this instant = 
Let us differentiate the volume equation with respect to t using product rule
![V=\frac{1}{3} \pi r^2 h\\V' = \frac{1}{3} \pi[2rhr'+r^2 h']\\-948 = \frac{1}{3} \pi[2(99)(-7)(\frac{0.1607}{\pi})+99^2 h']\\](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2%20h%5C%5CV%27%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%5B2rhr%27%2Br%5E2%20h%27%5D%5C%5C-948%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%5B2%2899%29%28-7%29%28%5Cfrac%7B0.1607%7D%7B%5Cpi%7D%29%2B99%5E2%20h%27%5D%5C%5C)
![-948 = \frac{1}{3} \pi[2(99)(-7)(\frac{0.1607}{\pi})+99^2 h']\\-948 = 33(3.14)(-2.25/3.14 + 99 h')\\-9.149=-0.72+99h'\\-8.429 = 99h'\\h' = 0.08514](https://tex.z-dn.net/?f=-948%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%5B2%2899%29%28-7%29%28%5Cfrac%7B0.1607%7D%7B%5Cpi%7D%29%2B99%5E2%20h%27%5D%5C%5C-948%20%3D%2033%283.14%29%28-2.25%2F3.14%20%20%2B%2099%20h%27%29%5C%5C-9.149%3D-0.72%2B99h%27%5C%5C-8.429%20%3D%2099h%27%5C%5Ch%27%20%3D%200.08514)
Rate of change of height = 0.08514 in/sec
The standard deviation is 1.43 below the mean
<h3>How to determine the number of standard deviation?</h3>
The given parameters are:
Mean = 98.249
Standard deviation = 0.733
x = 97.2
To calculate the number of standard deviation below the mean, we use

So, we have:

Evaluate the like terms

Divide both sides by -0.733
n =1.43
Hence, the standard deviation is 1.43 below the mean
Read more about standard deviation at:
brainly.com/question/15858152
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