Answer:
a) 15.52ft
b) 0.47 secs
Step-by-step explanation:
h = -16t^2 + 15t + 12
The maximum height is reached after -b/2a seconds
a = -16 , b = 15, c= 12
-b/2a = -15/2(-16)
= -15/-32
= 0.47 secs
The maximum height = -16(0.47)^2 + 15(0.47) + 12
= -3.5344 + 7.05 + 12
= 15.5156
= 15.52ft
So the question if find y'' for 4y=cos2x
First, find y by dividing by 4. y = cos2x/4
Then, take the first derivative. y' = -sin2x/2
Then, take the second dervative. y'' = -cos2x
Answer:
The equation that can be used to determine the number of rounds that Emma golfs is:
x=(c-7.50)/6.25
Step-by-step explanation:
From the information given, the total amount Emma pays to go miniature golfing is equal to the price of the admission ticket plus the result of multiplying the price per round of golf for the number of rounds and according to this, the equation would be:
c=7.50+6.25x, where:
c is the total cost for Emma to go miniature golfing
x is the number of rounds
Now, you can solve for x to determine the equation that can be used to find the number of rounds that Emma golfs:
x=(c-7.50)/6.25
You can replace c with 26.25:
x=(26.25-7.50)/6.25
x=18.75/6.25
x=3
9514 1404 393
Answer:
-135/14
Step-by-step explanation:
There are an infinite number of rational numbers between any pair of numbers you name. These two number have the decimal values ...
-67/7 = -9 4/7 = -9.571428... (repeating)
-78/8 = -9 3/4 = -9.75
So, numbers like -9.6 = -48/5, or -9.7 = -97/10 are rational numbers that lie in the range you specified.
If you like, you can convert these numbers to ones with a common denominator (56).
-67/7 = -536/56
-78/8 = -546/56
These limits suggest several possible rational numbers with 56 as a denominator: -540/56 = -135/14, for example.
We need to find the percent, let's start but making the equation.
The price is 2.69
The tax cost is 0.13
So what percent of 2.69 is = 0.13.
Equation: X/100 x 2.69 = 0.13
Multiply each side by 100 so we can get x alone with the price: 2.69x = 13
Now to get x alone, we must divide both sides by 2.69: x = 4.8
Finally, we just round 4.8 to the nearest whole number, which is 5 (5 or above give it a shove, 4 or below let it go, we have 8 so we give it a shove). This means that the answer will be 5%.
I hope this helps! :)
