Answer:
100 mins
Step-by-step explanation:
total no of gallons pool can hold=4500
gallons pool already holds=1500
rate of adding water= 30 gallons per min
time he can continue filing= 4500-1500/30
=3000/30
=100 minutes (m value)
correct me if I'm wrong appreciate me if I'm good
Answer:
domain: x>3/5
Step-by-step explanation:
First we need to derive our function g(x) to get a new function g'(x)
To do this we will have to apply chain rule because we have an inner and outer functions.
Our G(x) = square root(3-5x)
Chain rule formula states that: d/dx(g(f(x)) = g'(f(x))f'(x)
where d/dx(g(f(x)) = g'(x)
g(x) is the outer function which is x^1/2
f(x) is our inner function which is 3-5x
therefore f'(x)= 1/2x^(-1/2) and f'(x) = -5
g'(f(x)) = -1/2(3-5x)^(-1/2)
Applying chain rule then g'(x) = 1/2 (3-5x)^(-/1/2)*(-5)
But the domain is the values of x where the function g'(x) is not defined
In this case it will be 3-5x > 0, because 3-5x is a denominator and anything divide by zero is infinity/undefined
which gives us x >3/5
Answer:
28 days
Step-by-step explanation:
You multiply 7 by 4 for find the number of days in 4 weeks, since 1 week is 7 days: 7 × 4 = 28.
Hope this helps!
Solve for x given two sides
Solution
x is an angle hence we are gonna use the formula Sin
Sin 0 = opp/hyp
0 represents theta.
Sin 0 = opp/hyp
Sin 0 = 27/33
Put 27/33 in decimal form
= 0.8181
Transpose to make 0 the subject
Sin 0 = 0.8181
0 = Sin-1 0.8181
When adding Sin from one side to another it becomes Sin inverse.
0 = Sin-1 08181
Now we find the answer
0 = Sin-1 0.8181
= 54.89 degrees
Therefore x is equal to 54.9 to the nearest tenth.
Answer:
-3
Step-by-step explanation:
x - 4 = - 7
Carry over the - 4 and make x the subject.
x= - 7 + 4
x= - 3
Therefore x is - 3
