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pshichka [43]
3 years ago
13

You ride through some wet paint on your bike creating a red spot on the tire. write a cosine equation to model the height of the

red spot over the distance you ride.
Your bike tire has a radius (r) of 11 inches.
The period is the circumference of the tire (2pir)
start the cycle when the spot is at the top of the tire

Mathematics
2 answers:
jok3333 [9.3K]3 years ago
4 0

Answer:

D

Step-by-step explanation:

Just did it

atroni [7]3 years ago
3 0

Answer: y = 11 cos (1/11x) +11

Step-by-step explanation:

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Two employees are painting a boat. One uses ¾ gallon of paint each hour, one uses 1 ⅔ gallon of paint every 2 hours. How much pa
Ad libitum [116K]
<h2>Hello!</h2>

The answer is:

First employee: 3 gallons

Second employee: 3 1/3 gallons

Total: 3+3\frac{1}{3}=3+\frac{10}{3}=\frac{19}{3}

<h2>Why?</h2>

From the statement we know:

First employee uses 3/4 gallon each our, for 4 hours the will use:

\frac{3}{4}*4=\frac{12}{4}=3 gallons

Second employee uses 1 2/3 (5/3) gallon every 2 hours, meaning 5/6 gallon each hour.

\frac{5}{6}*4=\frac{20}{6}=\frac{10}{3}=3\frac{1}{3}gallons

Remember, to sum (algebraic sum) fractions we should follow the next steps:

First: Multiply both fractions denominators by each other in order to get the denominator of the new fraction.

Second: Multiply the numerator of the first fraction by the denominator of the second fraction.

Third: Multiply the denominator of the first fraction by the denominator of the second fraction.

Fourth: Sum (algebraic sum) each result and divide it into the number obtained from the first step (denominator of the new fraction).

Example:

3+\frac{1}{3} =\frac{(3*3)+(1*1)}{3*1}=\frac{9+1}{3}=\frac{10}{3}

Have a nice day!

5 0
3 years ago
Ditch Digging Problem Doug Upp can dig a ditch in 3 hours. His
Rasek [7]
It’s definitely less than 8 because when two people work together it takes less time
8 0
3 years ago
1,2,4,7,11,16,22, ___,____<br> What is the rule?
Paha777 [63]
Find rates of change until you find a constant.

dy/dx=1,2,3,4,5,6

d2y/dx2=1,1,1,1,1  

So the acceleration, d2y/d2x, is constant.  This means that this is a quadratic sequence of the form a(n)=an^2+bn+c.  So we can set up a system of equations to solve for the values of a,b, and c.  Using the first three points, (1,1), (2,2), and (3,4) we have:

9a+3b+c=4, 4a+2b+c=2, and a+b+c=1  getting the differences...

5a+b=2 and 3a+b=1  and getting this difference...

2a=1, so a=1/2 making 5a+b=2 become:

2.5+b=2, so b=-1/2, making a+b+c=1 become:

1/2-1/2+c=1, so c=1  so the rule is:

a(n)=0.5x^2-0.5x+1  or if you prefer to not have decimals

a(n)=(x^2-x+2)/2
6 0
3 years ago
Read 2 more answers
BRAINLIEST: Solve for x: x^3=25
Stella [2.4K]

Answer: decimal form is

2.92401773 or 2.92

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Hey can someone please help me
eduard

The vertex is located at (h,k)

The two roots p and q can be defined as such

  • p = h-r
  • q = h+r

where r is the horizontal distance between the vertex and either root. We use the same r value for each equation because of symmetry. The diagram below shows what I mean.

Let's add up those two equations to get

p+q = 2h

The left hand sides p and q add to p+q. The right hand sides add to (h-r)+(h+r) = 2h. Note the r's cancel.

From here, we divide both sides by 2 and we end up with

h = (p+q)/2

In short, if we know the roots p and q, then we find the x coordinate of the vertex (h) to be the average of those roots. You add up the roots and then divide by 2.

After you figure out the value of h, finding the value of k will have us plug in this h value into the quadratic equation and simplifying.

------------------------

Example:

Let's say we have the quadratic y = x^2 - 8x + 12. This factors to (x-2)(x-6)

Solving (x-2)(x-6) = 0 shows that x-2 = 0 becomes x = 2 and x-6=0 becomes x = 6.

So the roots here are p = 2 and q = 6. The order of the roots doesn't matter.

Averaging these roots gives us

h = (p+q)/2

h = (2+6)/2

h = 8/2

h = 4

The x coordinate of the vertex is x = 4.

Plug this back into the original equation to find...

y = x^2 - 8x + 12

y = (4)^2 - 8(4) + 12

y = 16 - 32 + 12

y = -16 + 12

y = -4

Or you could say

y = x^2 - 8x + 12

y = (x-2)(x-6)

y = (4-2)*(4-6)

y = (2)*(-2)

y = -4

Either way, we find that k = -4 is the y coordinate of the vertex

The vertex for this example is located at (h,k) = (4, -4)

Refer to the diagram below.

7 0
3 years ago
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