Answer:
Density = 1.042 grams /cm^3
Step-by-step explanation:
Work out the mass of each of three in a unit volume (cm^3)
Givens
- Apple Juice = 1.04 grams / cm^3
- Fruit Syrup = 1.6 grams / cm^3
- Sparkling water = 0.99 grams / cm^3
Mixture
35 cm^3 Apple Juice = 1.04 grams / cm^3 * 35 cm^3 = 36.4 grams
25 cm^3 Fruit = 1.6 grams/cm^3 * 25 cm^3 = 40 grams
270 cm^3 water = 0.99 * 270 267.3 grams
Total Mixture
- Volume = 25 + 35 + 270 = 330 cm^3
- Mass = 36.4 + 40 + 267.3 = 343.7 grams
Density
Density = mass / volume = 343.7 / 330 = 1.0415
Answer
1.042 grams / cm^3
Answer: A
Step-by-step explanation:
The coefficient of determination is a number between 0 and 1 used to measure the level of precision with which the regression model created fits the data. A measure of means that the model explains the entire variation between the two variables without error.
Therefore, in this case, if means that the 9 points are on the line
<span>The correct answer is 2x</span>²<span>-16x+30.
Explanation<span>:
(p*q)(x) is a composition of the two functions p(x) and q(x); it is the same as p(q(x)). We replace every x in p(x) with our value of q(x), x-3:
instead of 2x</span></span>²<span><span>, we have 2(x-3)</span></span>²<span><span>, and instead of -4x, we have -4(x-3).
This gives us 2(x-3)</span></span>²<span><span>-4(x-3). This is the same as 2(x-3)(x-3)-4(x-3).
Multiplying, we have
2(x*x-3*x-3*x-3(-3))-(4*x-4*3)
=2(x</span></span>²<span><span>-3x-3x+9)-(4x-12)
=2(x</span></span>²<span><span>-6x+9)-4x+12.
Using the distributive property gives us
2*x</span></span>²<span><span>-2*6x+2*9-4x+12
=2x</span></span>²<span><span>-12x+19-4x+12.
Combine like terms, and we have 2x</span></span>²<span><span>-16x+30.</span></span>
Nate Natalie
5_2 2_2
10_4 4_4
15_6 6_6
Natalie walked 6 feet
