Started with .5 liters
She drank 3/4 of .5 liters
gives us
375 Milliliters
The slope can be found by using the slope formula.
Slope = y2 - y1 / x2 - x1
First, we need two points on the line.
(-1, 0) and (0, 1)
x1 = -1 and y1 = 0
x2 = 0 and y2 = 1
Let's plug these values into our slope formula.
(1 - 0) / (0 - (-1)) = 1 / 1 = 1
The slope is 1
Answer:
x=-11, -1, and 3
Step-by-step explanation:
x^3+9x^2-25x-33=0
There are formulas to solve cubics, but that probably is not the way you are expected to go. Here is a trial and error approach that works in this case.
Assume that the cubic can be factored and that the roots are r1, r2, and r3. Then the factored form is
(x-r1)(x-r2)(x-r3)=0
This shows that the constant must equal the product of the roots.
(r1)(r2)(r3)=-33
One possibility is that the roots are integers. In this case, a factor of 33 might work. Prime factorization of 33 gives 3 and 11. Try 3. Then (x-3) is a factor.
Divide the cubic by (x-3). It works. the result is
x^2+12x+11
This has factors of (x+11) and (x+1). Therefore, the roots are 3, -1, and -11
Answer:
121.
Step-by-step explanation:
The lowest prime number after 10 is 11.
So it must be 11^2 = 121.
To calculate g, we use the formula F= mg. F is given as 180N, and m is given as 30 kg, therefore:
180N = (30kg)(g)
g = 6 m.s-1.
The motion of this object would be decreased on Earth as more force would be required to lift it. If we assume g is 9.8 m.s-1 on Earth, we can calculate the force required.
F = mg
= (30kg)(9.8 m.s-1)
= 294 N
