The step in this problem is do 1/4 + 1/3= ?
and see what you get
Answer:
Step-by-step explanation:
x + 85 = 180
x = 95
The exponential regression equation that fits the data is D. y = 8.04.0.98ˣ.
<h3>How to depict the equation?</h3>
The quickest way is probably to do direct substitution. First, let's try f(0). The values of y predicted by the four equations are, respectively, 3.14, 5.32, 10.84, and 8.46.
From here, it looks like C and D are the closest to the observed data. Let's try f(4) on C and D.
10.84(1.77)⁴ = 10.84 × 9.815 = 106.4
8.46(3.51)⁴ = 8.46 × 151.4 = 1284
Therefore, the exponential regression equation that fits the data is y = 8.04.0.98ˣ.
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Answer:
When we have a given point (x, y) in rectangular coordinates, the angle between the x-axis and a line that connects the origin with that point is given by:
Tan(θ) = y/x
In this case the point is (-3, 8)
Then we have:
Tan(θ) = -8/3
θ = Atg(-8/3) = -69.4°
Now we just need to input this on:
Sin(-69.4°) = -0.94
Csc(-69.4°) = 1/Sin(-69.4°) = 1/-0.94 = -1.1
Cot(-69.4°) = 1/tan(-69.4°) = -3/8 = -0.38
Answer:

Step-by-step explanation:
The height of this cone, h = 8 cm
The radius of this cone, r = 5 cm
We need to find the volume of this cone. The formula for the volume of a cone is given by :

Put all the values,

So, the volume of this cone is equal to
.