The cube root of (n increased by 8), or ∛(n+8), is -0.5, or -1/2.
∛(n+8) = -1/2. To solve this for n, cube both sides, obtaining n+8 = -1/8.
Eliminate the fraction by mult. all three terms by 8: 8n + 64 = -1
Solving for n: 8n = -65, so that n = -65/8.
Answer:
c = b / cos 45.
Step-by-step explanation:
cos 45 = b/c
c * cos 45 = b
c = b / cos 45.
Answer:
Dot product. ... In Euclidean geometry, the dot product of the Cartesian coordinates of two vectors is widely used and often called "the" inner product (or rarely projection product) of Euclidean space even though it is not the only inner product that can be defined on Euclidean space; see also inner product space.
Step-by-step explanation:
Answer:
42.25 feet
Step-by-step explanation:
The height function is a parabola. The maximum value of a negative parabola is at the vertex, which can be found with:
x = -b/2a
where a and b are the coefficients in y = ax² + bx + c.
Here, we have y = -16t² + 52t. So a = -16 and b = 52. The vertex is at:
t = -52 / (2×-16)
t = 13/8
Evaluating the function:
h(13/8) = -16(13/8)² + 52(13/8)
h(13/8) = -169/4 + 169/2
h(13/8) = 169/4
h(13/8) = 42.25
For the lunch it would be 20$
