Answer:
Step-by-step explanation:
Since given the expression, this represents graphically a parabola with arms pointing up, and a vertical translation of its vertex 5 units up, then the range of the function must be all the y values such that they are greater or equal to 5. This is written as:
Answer:
d. 0, 1.369
Step-by-step explanation:
Given:
The equation is:
Adding on both sides, we get
Using the identity , we get
Factoring out , we get
Therefore, the solution of the given equation is either 0 or 1.369.
The correct choice is d.
The answer is:
The correct option is:
D. 40 feet.
<h2>Why?</h2>To solve the problem and calculate the width of the river, we need to assume that the distance from A to B and the angle formed between that distance and the distance from A to the other point (C) is equal to 90°, meaning that we are working with a right triangle, also, we need to use the given angle which is equal to 34°. So, to solve the problem we can use the following trigonometric relation:
Where,
alpha is the given angle, 34°
Adjacent is the distance from A to B, which is equal to 60 feet.
Opposite is the distance from A to C which is also equal to the width of the river.
So, substituting and calculating we have:
Hence, we have that the correct option is:
D. 40 feet.
Have a nice day!
Recall that for |<em>x</em>| < 1, we have
Replace <em>x</em> with 2<em>x</em>, multiply 4, and call this function <em>f</em> :
Take the derivative:
By the ratio test, the series converges for
or |<em>x</em>| < 1/2, so the radius of convergence is 1/2.