The speed of the ball is
ds/dt = 32t
At t =1/2 s
ds/dt = 16 ft/s
The distance from the ground
50 - 16(1/2)^2 = 46 ft
The triangles formed are similar
50/46 = (30 + x)/x
x = 345 ft
50 / (50 - s) = (30 + x)/x
Taking the derivative and substituing
ds/dt = 16
and
Solve for dx/dt
Answer:
i have done the cutting of x's exponent
Step-by-step explanation:
= 3x - 30+9 =0
= 3x - 21 =0
= 3x= 21
= x = 21/3
x= 7 this the answer
Since he’s already at -15, if he writes a check for 7 then he’s subtracting more from his account.
So, -15-7=-22
Answer:
Charlie has used his phone in a month for at least 1404 minutes
Step-by-step explanation:
In order to solve this problem, we must first determine what will our variable be and what it will represent.
Let's say our variable is x and it will represent the number of minutes Charlie has used his phone.
After we set our variable up, we can set our equation up. The problem states that Charlie will pay a monthly fee of $18 and additional $0.06 per minute of use. The $18 is what is called a fixed cost and the $0.06 is the variable cost, which will depend on our variable x (the number of minutes spent). Taking this into account we can build an inequality that will represent the amount of money spent in a month, which will look like this:

so now we can solve that inequality for x, we can start by subtracting 18 from both sides, so we get.

Next, we can divide both sides of the inequality by 0.06 so we get:

so that's where the answer came from. Charly has used an amount of at least 1404 minutes
Answer:
(-5/3, -4/3)
Step-by-step explanation:
3 < 6c +13 < 5 . . . . given
-10 < 6c < -8 . . . . . subtract 13
-10/6 < c < -8/6 . . . divide by 6
We can express the interval using reduced fractions as ...
(-5/3, -4/3)