Answer:
e = -2
Step-by-step explanation:
Hey man, I got straight A's in math all year so here's the answer!
Good Luck! :)
The answer is SQUARE PYRAMID.
A square pyramid, a pyramid with four triangular sides and one square<span> side, is a figure with five faces, eight edges and five vertices. It is a kind of three-dimensional solid.
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Hi for the answer is there any backstory or answer key at least?
The function <em>position</em> of the particle is s(t) = (1 / 12) · t⁴ + (7 / 6) · t³ + 3 · t² + (63 / 4) · t.
<h3>What are the parametric equations for the motion of a particle?</h3>
By mechanical physics we know that the function <em>velocity</em> is the integral of function <em>acceleration</em> and the function <em>position</em> is the integral of function <em>velocity</em>. Hence, we need to integrate twice to obtain the function <em>position</em> of the particle:
Velocity
v(t) = ∫ t² dt - 7 ∫ t dt + 6 ∫ dt
v(t) = (1 / 3) · t³ - (7 / 2) · t² + 6 · t + C₁
Position
s(t) = (1 / 3) ∫ t³ dt - (7 / 2) ∫ t² dt + 6 ∫ t dt + C₁ ∫ dt
s(t) = (1 / 12) · t⁴ + (7 / 6) · t³ + 3 · t² + C₁ · t + C₂
Now we find the values of the <em>integration</em> constants by solving the following system of <em>linear</em> equations:
0 = C₂
63 / 4 = C₁ + C₂
The solution of the system is C₁ = 63 / 4 and C₂ = 0. The function <em>position</em> of the particle is s(t) = (1 / 12) · t⁴ + (7 / 6) · t³ + 3 · t² + (63 / 4) · t.
To learn more on parametric equations: brainly.com/question/9056657
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Answer:
Onetta can salect a sandwich and a salad in 78 different ways.
Step-by-step explanation:
Since Onetta goes to the food court to get a salad and sandwich for lunch, and the Daily Deli has 8 varieties of sandwiches and 3 salads, while Better Bites has 2 varieties of sandwiches and 7 salads, and the Lunch Spot has 5 varieties of sandwiches and 8 salads, to determine the number of ways Onetta can select a sandwich and a salad, the following calculation must be performed:
8 x 3 + 2 x 7 + 5 x 8 = X
24 + 14 + 40 = X
78 = X
Therefore, Onetta can salect a sandwich and a salad in 78 different ways.