Answer:
Below.
Step-by-step explanation:
Yes - those are 2 semicircles so their combined area = πr^2
= 3^2π
= 9π.
Answer:
15x^2y^2+9x^2y+2xy^2+27xy
Step-by-step explanation:
Answer:
0.75s , 15ft
Step-by-step explanation:
Use Derivatives,
Notice that the above function is a quadratic curve, meaning it has either a maximum or minimum point, which is the turning point and that is what we are solving for to find a 'max' or 'min'.
h =
(-16t² + 24t + 6)
= -32t + 24
At turning points (max/min),
the gradient is 0 meaning,
= -32t + 24 = 0.
t = 24/32 = 3/4
so time = 0.75 second
Substitute this t into the function,
we get h = -16 * 0.75 *0.75 + 24 * 0.75 + 6 = 15ft
Hello! I can help you with this question! 1,000 millions is equivalent to 1 billion. Therefore, $7,737,600,000 was spend on vet visits for dogs annually. As for cats, $5,913,000,000 were spent on them annually. Divide the price spent on dogs, buy the number of people (31,200,000), and your quotient should be 248. So that’s $240 dollars per person on dogs. For cats, do the same steps. Divide price spent by people (27,000,000), and your quotient should be 219. So that’s $219 dollars per person in cats. Now, you just subtract both prices per person. 240 - 219 = 21. Each person spent $21 more on average for dogs than cats.
Answer:
Grace should use her phone for 58 minutes to maintain an average of 55 minutes.
Step-by-step explanation:
Usage of first month = 43 minutes
Second month = 62 minutes
Third Minutes = 57 minutes
Let, the usage of fourth month = k minutes
Mean of the data = 5 minutes
Now, Average of a Data = ![\frac{\textrm{Sumof observations}}{\textrm{Total number of observations}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctextrm%7BSumof%20observations%7D%7D%7B%5Ctextrm%7BTotal%20number%20of%20observations%7D%7D)
⇒![55 = \frac{43 + 62 + 57 + k}{4}](https://tex.z-dn.net/?f=55%20%3D%20%5Cfrac%7B43%20%2B%2062%20%2B%2057%20%2B%20k%7D%7B4%7D)
or, 55 x 4 = 162 + k
⇒ 220 - 162 = k
or, k = 58 minutes
So, Grace should use her phone for 58 minutes to maintain an average of 55 minutes.