Answer:
2.25 (or 
) g/mL
<u>Skills needed: Density</u>
Step-by-step explanation:
1) Briefly, let's cover what density is:
- It is 
- Measures the mass per unit of volume
- In this situation the formula for density is: 
---> 
is the final mass
---> 
is the initial mass
---> 
is the final volume
---> 
is the initial volume
2) In this case, we start out with a mass of 180 grams as stated in the problem, and also 50 mL of water initially.
This means that:
- is 180 g
- is 50 mL
3) Also, we end up with 270 g in mass, and 90 mL of water finally.
- is 270g
- is 90 mL
4) We can find density by substitute given the values above:
5) Our answer is 2.25 g/mL (since mass is grams (g), and volume is milliliters (mL) in the problem above).
Answer: x - 12 is not a factor.
Step-by-step explanation:
The equation
x³ - 4x² - 4x + 16
To know which of the following is a factor , we continue to find the value of x and substitute into the equation and see the one that gives zero. The one that gives zero is the factor.
(a) x + 2
If x + 2 = 0
x = -2, now substitute for x in the equation and find out if it will be zero.
x³ - 4x² - 4x + 16 = (-2)³ - 4(-2)² - 4(-2) + 16.
= -8 - 16 + 8 + 16
= 0.
Therefore, x + 2 is a factor.
(b) x - 12
If x - 12 = 0, then x = 12
x³ - 4x² - 4x + 16
(12)³ - 4(12)² - 4(12) + 16
1728 - 576 - 48 + 16
= 1,120 , not a factor.
(c) x - 2
If x - 2 = 0, then x = 2
x³ - 4x² - 4x + 16
(2)³ - 4(2)² - 4(2) + 16
8 - 16 - 8 + 16
= 0, Therefore, x - 2 is a factor.
(d) x - 4
If x - 4 = 0, x = 4
x³ - 4x² - 4x + 16
(4)³ - 4(4)² - 4(4) + 16
48 - 48 - 16 + 16
= 0,therefore, x - 4 is also a factor.
0.9b + 2 is the correct answer
Answer:
Step-by-step explanation:
this is the equation used to find the average of two numbers.
Answer:
there you go u asked for the answer
Step-by-step explanation:
