Answer:
x⁴ +2x³ + x² + 12x
Step-by-step explanation:
(x² + 3x)(x² - x +4)
= x²(x²) - x(x²) + 4(x²) + x²(3x) - x(3x) + 4(3x)
= x^4 - x³ + 4x² + 3x³-3x²+12x
= x⁴ +2x³ + x² + 12x
Answer:
dV/dt = 100 cm³/min
Step-by-step explanation:
Given
V = 728 cm³
P = 182 kPa
dP/dt = - 25 kPa/min
dV/dt = ?
If we apply the ideal gas equation
P*V = n*R*T
where n*R*T is constant
we have
d(P*V)/dt = d(n*R*T)/dt
⇒ d(P*V)/dt = 0
⇒ V*(dP/dt) + P*(dV/dt) = 0
⇒ dV/dt = - (V/P)*(dP/dt)
Plugging the known values we obtain
⇒ dV/dt = - (728 cm³/182 kPa)*(- 25 kPa/min)
⇒ dV/dt = 100 cm³/min
Answer:
5 times g EQ so the answer is 29
Answer:
I can only get one page due to my device.
1. 105 degrees.
2. 75 degrees
3. 105 degrees
Parrallel lines and supplementary angles mean that all of the angles are either 75 or 105 degrees.
Answer: 6/25
Step-by-step explanation:
Number of vowels = 8
Number of consonants = 12
Total number of tiles in bag = (number of vowels + number of consonants)
Total = (12 + 8) = 20
Probability = (required outcomes / total possible outcome)
Probability of choosing a consonants = (number of consonants / total number of word tiles)
P( consonants) = 12 / 20 = 3/5
Since it is with replacement, total number of word tiles will still be 20
Probability of choosing a vowel = (number of vowels / total number of word tiles)
P( vowels) = 8 / 20 = 2/5
Therefore,
P(constant then vowel) = 3/5 * 2/5 = 6/25
