The equation for volume of a sphere is:
Volume = 4/3 * PI * r^3
r is the radius = 1 inch
Volume is given as 4 cubic inches per second increase.
Given: dv/dt = 4 cubic inches per second.
Need to find dr/dt
Formula for volume of a sphere is: V = 4/3 * π * r^3
so now we have:
4 in^3 = 4 * π *1^2
Divide both sides by 4 * π *1^2
4 in^3 / 4π = 1/π inch per second.
The answer is 1/π inch per second ( exact answer)
or as a decimal: 0.3183 ( round as needed).
Answer:
x = 12.6 pennies
Step-by-step explanation:
total number of coins = 1 + 2+ 4 + 3 = 10 coins
P(penny) =
P(nickels) =
P(dimes) =
P(quarters) =
hence average value of the coin
x = Penny x P(Penny) + nickel x P(nickel) + dimes x P(dimes) + quarters x P(quarters)
nickels = 5 pennies dimes = 10 ; and quarters = 25 pennies
x = 0.1 + 1 + 4 + 7.5
x = 12.6 pennies
hence, the average pennies for the first draw is equal to x = 12.6 pennies
Hello! For this problem, we have to use the distributive property. So we do 5 * x and 5 * 6. When we do that, we get 5x - 30. The answer is C: 5x - 30.
<span>A. y=secx
This problem deals with the various trig functions and is looking for those points where they are undefined. Since the only math operations involved is division, that will happen with the associated trig function attempts to divide by zero. So let's look at the functions that are a composite of sin and cos.
sin and cos are defined for all real numbers and range in value from -1 to 1.
sin is zero for all integral multiples of pi, and cos is zero for all integral multiples of pi plus pi over 2. So the functions that are undefined will be those that divide by cos.
tan = sin/cos, which will be undefined for x = π/2 ±nπ
cot = cos/sin, which will be undefined for x = ±nπ
sec = 1/cos, which will be undefined for x = π/2 ±nπ
csc = 1/sin, which will be undefined for x = ±nπ
Now let's look at the options and pick the correct one.
A. y=secx
* There's a division by cos, so this is the correct choice.
B. y=cosx
* cos is defined over the entire domain, so this is a bad choice.
C. y=1/sinx
* The division is by sin, not cos. So this is a bad choice.
D. y=cotx,
* The division is by sin, not cos. So this is a bad choice.</span>
Answer:
there are two answers
Step-by-step explanation:
Exact form T=-2/3
Decimal form T=0.666666 and so on
Hope this helps :)
