The weight of a liquid is: 138.37 grams.
step-by-step explanation:
we are given that the volume of the container=202 ml(milliliter).
also the density of the liquid is given =0.685 grams over milliliter.
we know that the mass or weight of the liquid is given by:
weight=density×volume .
weight=(0.685×202) grams.
weight=138.37 grams.
hence, the weight of liquid that exactly fills a 202.0 milliliter container is 138.37 grams.
We have the following equation:
V = kr ^ (2) h
For cylinder A we have:
251.2 = k * ((4) ^ (2)) * (5)
Let's clear k:
k = 251.2 / (((4) ^ (2)) * (5))
k = 3.14
For cylinder B we have:
V = 3.14 * ((3) ^ (2)) * (9)
V = 254.34 in ^ 3
Answer:
the volume of cylinder B is:
V = 254.34 in ^ 3
2|7 − 7x| = 2x + 4
|7 - 7x| = x + 2
7 - 7x = x + 2 or 7 - 7x = -(x + 2)
-8x = -5 or 7 - 7x = -x - 2
x = 5/8 or -6x = -9
x = 5/8 or x = 9/6
x = 5/8 or x = 3/2
To check for extraneous solutions, we check both solutions in the original equation.
<em>Check solution 5/8:</em>
2|7 - 7x| = 2x + 4
|7 - 7x| = x + 2
|7 - 7 * 5/8| = 5/8 + 2
|56/8 - 35/8| = 5/8 + 16/8
21/8 = 21/8
<u>Solution x = 5/8 works.</u>
<em>Check solution 3/2:</em>
2|7 - 7x| = 2x + 4
|7 - 7x| = x + 2
|7 - 7 * 3/2| = 3/2 + 2
|14/2 - 21/2| = 3/2 + 4/2
|-7/2| = 7/2
7/2 = 7/2
<u>Solution 3/2 also works.</u>
Answer: x = 5/8 or x = 3/2
Answer:
8x³ - 25x² - 3x + 18
Step-by-step explanation:
(2x + 3)(4x²- 5x + 6)
multiply 2x by each of the three terms in the second expression to get:
8x³ - 10x² + 12x
now multiply 3 by each of the three terms in the second expression to get:
12x² - 15x + 18
Combine 'like terms': -10x² + (-15x²) = -25x²
Combine 'like terms': 12x + (-15x) = -3x
Put all terms in decreasing exponent order:
8x³ - 25x² - 3x + 18
Answer:
P- number?
Step-by-step explanation:
I don't know but it's probably wrong :(
