Answer:
False
Step-by-step explanation:
First you do 150 divided by 20, which equals 7.5, so then you would do 7.5 times 6 and that equals 45 minutes. Hope that helped!
Answer: 2 - 2*sin³(θ) - √1 -sin²(θ)
Step-by-step explanation: In the expression
cos(theta)*sin2(theta) − cos(theta)
sin (2θ) = 2 sin(θ)*cos(θ) ⇒ cos(θ)*2sin(θ)cos(θ) - cos(θ)
2cos²(θ)sin(θ) - cos(θ) if we use cos²(θ) = 1-sin²(θ)
2 [ (1 - sin²(θ))*sin(θ)] - cos(θ)
2 - 2sin²(θ)sin(θ) - cos(θ) ⇒ 2-2sin³(θ)-cos(θ) ; cos(θ) = √1 -sin²(θ)
2 - 2*sin³(θ) - √1 -sin²(θ)
Answer:
Dilation followed by Translation.
Step-by-step explanation:
We have the function
.
The new transformed function is ![g(x)=2\sqrt{x}+3](https://tex.z-dn.net/?f=g%28x%29%3D2%5Csqrt%7Bx%7D%2B3)
Now, the transformation applied to f(x) to obtain g(x) are:
1. Dilation - it is the transformation that changes the size/shape of the figure. It is generally of the form kf(x) where k is constant.
Since, we are dilating the given function by 2 units, the new dilated function becomes
.
2. Translation - it is the transformation that shifts the figure in any direction. When the function is shifted vertically, the general form becomes f(x)+k.
As, we see that the new dilated function is shifted 3 units upwards, the final translated function becomes
.
Hence, the transformations applied to obtain g(x) from f(x) are Dilation followed by Translation.
Answer:
D
Step-by-step explanation:
Given
4x + 8.2 ≤ 32.2 ( subtract 8.2 from both sides )
4x ≤ 24 ( divide both sides by 4 )
x ≤ 6 → D