If <em>x</em> = -1, you have
2(-1) + 3 cos(-1) + <em>e</em> ⁻¹ ≈ -0.0112136 < 0
and if <em>x</em> = 0, you have
2(0) + 3 cos(0) + <em>e</em> ⁰ = 4 > 0
The function <em>f(x)</em> = 2<em>x</em> + 3 cos(<em>x</em>) + <em>eˣ</em> is continuous over the real numbers, so the intermediate value theorem applies, and it says that there is some -1 < <em>c</em> < 0 such that <em>f(c)</em> = 0.
Kinetic engery = -1/2mv^2
Work = Fd
Combine:
-1/2mv^2 - Fd = 0
-1/2mv^2 = (0.30*15000*9.81*cos(6))d = 0
Multiply both sides by 2:
v^2 = 2d(0.30*9.81*cos(6))
Solve for d:
d=v^2 / 2(0.30*9.81*cos96))
v = speed:
d = 35^2 / 2*0.30 * 9.81 * cos(6)
d = 1225 / 5.85376
d = 209.27 meters. Round answer as needed.
Answer:T=1
Step-by-step explanation:
Answer:
The equation of the line that is parallel to given line and passes through the point (-8, -3) is: 
Step-by-step explanation:
Given equation of line is:

The general form of equation of line in slope-intercept form is written as:

Here m(co-efficient of x) is the slope of the line and b is the y-intercept.
Comparing the given equation with the general form we get
m = 5
Two parallel lines have same slope so the slope of any line parallel to given line will also be 5.
Let m1 be the slope of required line parallel to y=5x-3
Then m1=5
Putting in general form


To find the value of b(y-intercept) the given point has to be put in the equation from which the line passes.
The point is (-8,-3)

Putting the value of b and m1, we get

Hence,
The equation of the line that is parallel to given line and passes through the point (-8, -3) is: 
Answer:
The answer is 568.76 if u want rounded and 568.76015
Step-by-step explanation:
Because when you multiply them you get the answer. Much easier if you line them up.
Plzzz give thanks and give brainlest