Answer: a) -7/12 ft/s, -20 ft/s, -7 ft/s
b) 527/24 Ft²/s
c) 2/25 rad/sec
Step-by-step explanation:
a) b=7 ; a^2+b^2 = 25^2
a^2+b^2 = 625
Differentiate w.r.t = 2a (da/dt) + 2b ( db/dt) = 0

As found from above put a=24 b=7,15 and 24. You will get the reuqired answer.
b) Area of the triangle = 1/2 * b*h
differentiate wrt to time leads to the following relation:

c) sin (Θ) = b/25
differentiate it again to give

Answer:
A.. 2
C.. 5
E.. 10
Step-by-step explanation:
If x represents the number of cars that wash Aron, then the domain of x must contain only integers and positive numbers (natural numbers)
This, because Aron can not wash -3 cars, it would be absurd then for x to be a negative number.
In the same way Aron can not wash 1.29 cars. Or washed 1 car or washed 2, it is not consistent in this case to say that washed a car and a half, for example.
Therefore the correct answer is the options.
A.. 2
C.. 5
E.. 10
I would say you have a probability of 1/4 to pick a 3 in the first round and 1/3 in the second round
1/4 plus 1/3 = 7/12
Answer:
S = 1564
Step-by-step explanation:
S = 12 + 22 + 32 + .. + 172
= 12 + (12+10) + (12+20) + .. + (12+160)
= 10(1 + 2 + .. + 16) + 12×17
= 10×16×17/2 + 12×17
= 1360 + 204
= 1564
First of all, standard form means it should be this form ax+by=c
The equation for the line is
y= 1/4x-1========>Multiply each term by 4
y (4) = 1/4(4)x-1(4)
4y = 4/4x-4
4y=x-4=========>Subtract x from both sides
4y-x=x-x-4
4y-x=-4 OR X-4Y=4
Your answer is A.