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Varvara68 [4.7K]
3 years ago
5

The period of 3cosx/5 is..???

Mathematics
1 answer:
vladimir2022 [97]3 years ago
4 0
the\ period\ of\ cosx\ is\ 2\pi\\\\the\ period\ of\ 3cosx\ is\ 2\pi\\\\the\ period\ of\ 3cos\frac{x}{5}\ is\ 5\cdot2\pi=10\pi
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15 POINTS!!!! BRAINLIEST FOR THE FIRST ANSWER!!! Solve 3-x/2≤18
Bumek [7]

Answer:

x\geq -30

Step-by-step explanation:

Work to isolate x on one side of the inequality:

3-\frac{x}{2} \leq 18\\3-18\leq \frac{x}{2} \\-15\leq  \frac{x}{2}\\-30 \leq x

Therefore the answer is all x values larger than or equal to -30

x\geq -30

6 0
3 years ago
The line $y = 3$ intersects the graph of $y = 4x^2 + x - 1$ at the points $A$ and $B$. The distance between $A$ and $B$ can be w
raketka [301]

Answer:

61

Step-by-step explanation:

Let's find the points A and B.

We know that the y-coordinates of both are 3.

So let's first solve:

3=4x^2+x-1

Subtract 3 on both sides:

0=4x^2+x-1-3

Simplify:

0=4x^2+x-4

I'm going to use the quadratic formula, x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}, to solve.

We must first compare to the quadratic equation, ax^2+bx+c=0.

a=4

b=1

c=-4

\frac{-1 \pm \sqrt{1^2-4(4)(-4)}}{2(4)}

\frac{-1 \pm \sqrt{1+64}}{8}

\frac{-1 \pm \sqrt{65}}{8}

Since the distance between the points A and B is horizontal. We know this because they share the same y-coordinate.This means we just need to find the positive difference between the x-values we found for the points of A and B.

So that is, the distance between A and B is:

\frac{-1+\sqrt{65}}{8}-\frac{-1-\sqrt{65}}{8}

\frac{-1+\sqrt{65}+1+\sqrt{65}}{8}

\frac{2\sqrt{65}}{8}

\frac{\sqrt{65}}{4}

If we compare this to \frac{\sqrt{m}}{n}, we should see that:

m=65 \text{ and } n=4.

So m-n=65-4=61.

5 0
3 years ago
Read 2 more answers
When determining the volume of a shape, you should use cubic units in your final answer. true or false.
Phoenix [80]

Answer:

true

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
You are skateboarding at a pace of 30 meters every 5 seconds. your friend is in-line skating at a pace of 9 meters every 2 secon
AnnyKZ [126]

In order to graph the relationship, we will need to write the expression as the equation of a straight line as shown:

d = mt + b

d is the distance covered

t is the time taken

m is the speed

If you are skateboarding at a pace of 30 meters every 5 seconds. your friend is in-line skating at a pace of 9 meters every 2 seconds, this can be written as (5, 30) and (2, 9)

Get the slope of the line:

m = (9-30)/(2-5)

m = -21/-3

m = 7

Substitute m = 7 and the coordinate (2, 9) into the equation y = mt + b

9 = 7(2) + b

9 = 14 + b

b = -5

The required equation to plot will be expressed as y = 7t - 5

Plot the required graph

Learn more here: brainly.com/question/17003809

4 0
3 years ago
What are more 1/3 miles or 1762 feets
Zigmanuir [339]

1762 feet would be 2 feet more. There are 5280 in a mile, divide that by three and get 1760 feet.

6 0
3 years ago
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