Answer:
-105
Step-by-step explanation:
hello there!
f(x)= -x^2+8x
f(-7)= -(-7)^2 + 8*(-7)
= - 49 + (-56)
= -105
hope it helps!
thank u!
Because there are less pieces the whole is split up into. For instance,
if you have 1 bag of cookies, you would get more cookies per person if
it was split between 2 people than if it was split between 10, because each person
gets more of the whole, and there's less people to split up that whole.
since you have an equal amount of pieces from each, the whole that was
split into the least pieces, or the number with the smaller denominator will be larger since the pieces will be larger
Answer:
The area of the circle is 19.5 in²
Step-by-step explanation:
First of all to solve this problem we have to know the formula to calculate the volume of a cone
v = volume = 52 in³
r = radius
h = height = 8 in
π = 3.14
v = 1/3 * π * r² * h
we solve r
3 * v /h * π = r²
we replace the known values
3 * 52 in³ / 3.14 * 8 in = r²
156 in³ / 25.12 in = r²
6.21 in² = r²
√6.21 in² = r
2.49 in = r
now that we have the radius we need to use the area formula of a circle:
a = area
r = radius = 2.49 in
π = 3.14
a = π * r²
we replace the known values
a = 3.14 * (2.49 in)²
a = 3.14 * 6.21 in²
a = 19.5 in²
The area of the circle is 19.5 in²
Answer:
.
Step-by-step explanation:
Given information:
According to the Pythagoras theorem,
Using Pythagoras theorem, we get
Taking square root on both sides.
Hence, the expression of the hypotenuse is .
Given :
The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by 
.
To Find :
Find the time at which the concentration is a maximum. b. Find the maximum concentration.
Solution :
For maximum value of x, K'(x) = 0.
Since, time cannot be negative, so ignoring x = -3 .
Putting value of x = 3, we get, K(3) = 15/( 9 + 9) = 5/6
Therefore, maximum value drug in bloodstream is 5/6 at time x = 3 units.
Hence, this is the required solution.
