
Just follow step by step. Follow PEMDAS (Parentheses, Exponents. Multiply/Divide, Add/Subtract)
Answer:
V = 115.5 cubic yards
Step-by-step explanation:
V (cone) = 1/3πr²h
just substitute given values to get:
r = 7/2 or 3.5
h = 9
V = π(3.5²)(9)/3
V = 115.5 cubic yards
The number is 79 that is prime
Answer:
⟨-5, -1⟩
Step-by-step explanation:
Vector:
A vector is given by its endpoint subtracted by its initial point.
Vector u has initial point at (3, 9) and terminal point at (–7, 5)
Then

Vector v has initial point at (1, –4) and terminal point at (6, –1).
Then

What is u + v in component form?

⟨-5, -1⟩ is the answer.
The work done by the gas when the gas expands will be 567.65 ft-lb.
<h3>What is the work done for an isothermal process?</h3>
The Pressure is inversely proportional to the volume.
Let the initial pressure and initial volume be P₁ and V₁, and the final volume be V₂.
Then the work done by the gas will be
WD = P₁ V₁ ln (V₂ / V₁)
A quantity of the gas with an initial volume of 2 cubic feet and an initial pressure of 700 pounds per square foot.
The gas expands to a volume of 3 cubic feet.
Then the work done by the gas will be
WD = 700 x 2 x ln (3/2)
WD = 1400 x 0.405
WD = 567.65 ft-lb
The work done by the gas when the gas expands will be 567.65 ft-lb.
More about the work done for isothermal process link is given below.
brainly.com/question/4218306
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