Answer:
66.42°
Step-by-step explanation:
Given
cos ? = , then
? = (
) ≈ 66.42° ( to the nearest hundredth )
Which translation maps the vertex of the graph of the function f(x) = x onto the vertex of the function g(x) = x2 + 2x +1?
1 answer:
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Answer:
You are expected to lose $0.05 (or win -$0.05)
Step-by-step explanation:
Since the roulette wheel has the numbers 1 through 36, 0, and 00, there are 38 possible outcomes.
In this bet, you are allowed to pick 3 out of the 38 numbers. Thus, your chances of winning (P(W)) and losing (P(L)) are:
The expected value of the bet is given by the sum of the product of each outcome pay by its probability. Winning the bet means winning $11 while losing the bet means losing $1. The expected value is:
Therefore, with a $1 bet, you are expected to lose roughly $0.05
The weight of solid clay brick is 66.465 ounces, if solid brick with a length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches and the clay weighs 1.055 ounces per cubic inch.
Step-by-step explanation:
The given is,
A solid clay brick in the shape of a rectangular prism.
A length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches.
The clay weighs 1.055 ounces per cubic
Step:1
Formula for volume of rectangular prism,
...................(1)
Where, w - Width of the rectangular prism
h - Height of rectangular prism
l - Length of rectangular prism
From the given,
w = 3.5 inches
h = 2.25 inches
l = 8 inches
Equation (1) becomes,
Volume, V = 63 cubic inches
Step:2
Weight of brick = Volume of brick × Weight per cubic inch
= 66.465 ounces
Weight of brick = 66.465 ounces
Result:
The weight of solid clay brick is 66.465 ounces, if solid brick with a length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches and the clay weighs 1.055 ounces per cubic inch.
Let u = 5x+1. Then du = 5·dx, and your integral is