The diameter of a car's tire is 5oem. While the car is being driven, the tire picks up a nail. It takes 1
second for the nail to rotate to the top of the tire.
a) Graphically model the height of the nail above the ground over time, from the point it punctures the
tire. Include 3 rotations of the tire in your model.
b) Algebraically model the path of the nail in terms of sine and cosine.
c) How high above the ground is the nail after 6.35 second?
d) At what time(s) in the first 3 rotations of the tire is the nail 13cm above the ground?
e) If the car drives for 6 minutes, how many times will the nail have rotated around the tire?
f) State the domain and range of the path of the nail.
g) What assumptions must you make about the drive in order for the function to accurately model the
nails path?

Answers

Answer 1

Answer:

2

3

4

5

6

7

RESULT

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01:32

Step-by-step explanation:


Related Questions

PLZ HELP
-3/8 divided by -1/4

Answers

-3/8 ÷ -1/4 = -3/8 *-4/1= 12/8 = 1 4/8, 1 1/2

WA
The midline is y=
The amplitude is
The period is

Answers

Answer:

The midline is y=-1

Amplitude = 3

The period is 2 units

Step-by-step explanation:

Sinusoidal Function

It refers to a mathematical curve with a smooth and periodic oscillation. Its name comes from the sine function but it can be a cosine function too. They only differ by the phase angle of 90 degrees or π/2 radians.

The amplitude is half the distance from the maximum and the minimum points. The graph shows a sinusoid with a maximum value of y=2 and a minimum value of y=-4.

The amplitude is:

[tex]A=\frac{2+4}{2}=3[/tex]

Amplitude = 3

The midline is the distance from the center of the sinusoid to the x-axis. It's also called the vertical shift.

The midline can be found by subtracting the amplitude A=3 to the maximum value M=2:

ML = 2 - 3 = -1

It can also be found by adding the amplitude to the minimum value:

ML = -4 + 3 = -1

The midline is y=-1

The period is the time the wave takes to complete a full cycle. We only have to focus at any point on the wave (xo,yo) and find the next value of x where the sinusoid has the very same behavior (x1,y1). The period is then x1-x0.

We find at x=0, y=-1 and it's moving up. At x=1 it has the same value but it goes down, so the wave is at its half cycle. At x=2 it repeats the same behavior as for x=0. Thus:

The period is 2 units

Tv= $350 discount = 25%

Answers

The answer is 262.5

is the triangle congruent to triangle a? if so how?​

Answers

Answer:

Step-by-step explanation:

1 and triangle A is congruent by Angle Side Angle congruent.

2 and triangle A is congruent by Side Side Side congruent.

3 and triangle A is congruent by Angle Side Angle congruent.

The LA Dodgers hit the most home runs in 2014. The number of home runs accounted for 6% of the entire major league baseball home run count. If 583 total home runs were hit, then approximately how many did the LA Dodgers hit?

Answers

Answer: 39

Step-by-step explanation:

6% = .06 so .06 multiplied by 583 is 38.98 rounded is 39

If 5 candy bars weigh 40 ounces, what is the weight of 15 candy bars in
ounces

Answers

Answer:

Try 120

Step-by-step explanation:

5 times 8 equal 40

15 times 8=  120

Patrick is responsible for choosing the company his local community group will use for having T-shirts printed. He must choose between Initial Me and Monogram Mania. Both companies charge an initial set-up fee and then charge per T-shirt printed.

The graph shows the cost of purchasing T-shirts from Initial Me and the cost of purchasing T-shirts from Monogram Mania.

Which statements are true about Initial Me and Monogram Mania?

Select each correct answer.


Initial Me charges $8 per T-shirt printed.

The two companies will cost the same if 130 T-shirts are purchased.

Patrick should choose Initial Me because it will cost less regardless of the number of T-shirts printed.

Monogram Mania charges less per T-shirt printed than Initial Me charges.

The initial fee charged by Monogram Mania is $50.

The initial fee charged by Initial Me is $80.
























Give too the most brainlyist

Answers

Answer:

1. Initial Me charges $8 per T-shirt printed.

2. Monogram Mania charges less per T-shirt printed than Initial Me charges.

The answer is Monogram Mania charges less per T-shirt printed than Initial Me charges.

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here: Two T-shirt brands Initial me and monogram mania

Clearly from the graph we can observe that the slope of monogram is not as steep as initial me which indicates that Monogram Mania charges less per T-shirt printed than Initial Me charges.

Hence, The answer is Monogram Mania charges less per T-shirt printed than Initial Me charges.

Learn more about linear equations here:

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is the relationship linear, exponential, or neither?

Answers

i’m pretty sure it’s linear, both sides go up at the same constant rate, x is going up 4 each time and y is going up 6

Your answer is linear.

3 and 8 ?o?
What is the product of

Answers

Answer:

the product of 3 and 8? is 24

Answer:

24

Step-by-step explanation:

8+8=16

16+8=24


What is the equation of the line in slope-intercept form?

Answers

Answer:

The equation of the line in slope-intercept form is:

y = x + 4

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Given the points on the line graph

(0, 4)(1, 5)

Determining the slope between (0, 4) and (1, 5)

(x₁, y₁) = (0, 4)

(x₂, y₂) = (1, 5)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [5 - 4] / [1 - 0]

                = 1 / 1  

               = 1

Thus, the slope of the line = m = 1

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 4

Thus, the y-intercept b = 4

now substituting b = 4 and m = 1 in the slope-intercept form

y = mx + b

y = (1)x + 4

y = x + 4

Therefore, the the equation of the line in slope-intercept form is:

y = x + 4

Which fraction can be replaced with 0 when estimating with fractions?

A. 1/5
B. 3/4
C. 8/20
D. 4/9

Answers

any number as the denominator and 0 as the numerator can be replaced in the place of 0.

Without completing decide whether the value of each expression is on is much smaller than 1 close to 1 or much greater than 1

Answers

Answer:

Step-by-step explanation:

1) Larger

2) Less/Close

3) Less

4) Less

5)Less

6) Close

here is a tip if you need help with a question use

the mathhhhhh wayyyy

First find the value of the variable in the diagram

Answers

64 degrees

Opposite angles are congruent so that other angle is 64 degrees and then you do 180-(52+64)

x − 3(3x + 6) = 5 − 8x

Answers

The answer is 23 I’m pretty sure that’s correct

Answer:

23

Step-by-step explanation:

1

Distribute

−3(3+6)=5−8

−9−18=5−8

2

Combine like terms

−9−18=5−8

−8−18=5−8

3

Rearrange terms

−8−18=5−8

−8−18=−8+5

4

Add 

18

1818

 to both sides of the equation

5

Simplify

6

Add 

8

8x8x

 to both sides of the equation

7

Simplify

Result:

0=23

given the parralegram find the measure of

Answers

Answer:

can i  get a picture??-

Step-by-step explanation:

1.Identify the mistake in the problem below. Then, correct the mistake.

p-21=34
p-21-21=34-21
p=13

Answers

The mistake is P-21=34
It should be p+21=34
P=34-21
P=13

Benjamin correctly graphed the quadratic function y = -3x2 + 5. Which of these is true of Benjamin's graph? A. The graph of the function is a line. B. The graph has a vertex at (0, -5). C. The graph has a maximum value at (0, 5). D. The graph is much wider than the original parent function y = x2.

Answers

Its C the graph has a maximum value at (0,5)

The graph has the shape of a parabola with vertex (maximum value) at point (0, 5)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the quadratic function y = -3x² + 5:

The graph has the shape of a parabola with vertex (maximum value) at point (0, 5).

Find out more on equation at: https://brainly.com/question/2972832

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Which statement is correct?
A 10 quarts > 2.5 gallons
B 10 quarts < 2.5 gallons
C 10 quarts = 2.5 gallons

Answers

Answer:

the answer is C

Step-by-step explanation:

2.5 gallons are equal to 10 quarts

help me pls need help​

Answers

Answer:

I

Step-by-step explanation:

A previous survey reported that 53% of respondents increased their portfolio value over the past 3 years. How large should a sample be if the margin of error is .03 for a 91% confidence interval

Answers

Answer:

A sample of 796 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this question, we have that:

[tex]\pi = 0.53[/tex]

91% confidence level

So [tex]\alpha = 0.09[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.09}{2} = 0.955[/tex], so [tex]Z = 1.695[/tex].

How large should a sample be if the margin of error is .03 for a 91% confidence interval

We need a sample of n, which is found when [tex]M = 0.03[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.695\sqrt{\frac{0.53*0.47}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.695\sqrt{0.53*0.47}[/tex]

[tex]\sqrt{n} = \frac{1.695\sqrt{0.53*0.47}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.695\sqrt{0.53*0.47}}{0.03})^{2}[/tex]

[tex]n = 795.2[/tex]

Rounding up

A sample of 796 is needed.

Income can come from
a a part-time job.
b. allowance
c. odd jobs.
d. all of the above.

Answers

Answer:

d

Step-by-step explanation:

Answer:

D. all of the above

Step-by-step explanation:

they all give you money.

Which rigid transformations would map ΔJKL onto ΔPQR? Select the three correct answers.

a reflection only
a rotation only
a rotation and a reflection
a translation and a reflection
a translation only

Answers

Answer:

a. a reflection only

c. a rotation and a reflection

d. a translation and a reflection

Step-by-step explanation:

just took the test

Answer:

look at the screen shot :)

Step-by-step explanation:


You make six posters to hold up at a basketball game. Each poster has a letter of the word TIGERS You and five friends sit next to each other in a rowe
The posters are distributed at random. Find the probability that TIGERS is spelled correctly when you hold up the posters

Answers

Answer:

1/720

Step-by-step explanation:

there is only one way to spell tiger but there's 720 outcomes of the other words you can make

The probability that TIGERS is spelled correctly when you hold up the posters is 0.00139 approximately or 1/720 exactly.

How to calculate the probability of an event?

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For this case, the letters of TIGERS are given at random.

All the six letters are different and there exist 6! permutations for them. (as for n unique things, there exist n! possible arrangements of theirs).

So, the posters can be distributed in 6! = 6×5×4×3×2×1 = 720 ways.

Out of those 720 ways, there is only one correct way to spell TIGERS correctly.

Thus, we get:

P(event that correct order of posters is distributed) = [tex]\dfrac{1}{720} \approx 0.00139[/tex]

Thus, the probability that TIGERS is spelled correctly when you hold up the posters is 0.00139 approximately or 1/720 exactly.

Learn more about probability here:

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Two points, a and b, are graphed on the number line below. Maynard says there is not
enough information to write an inequality statement comparing a and b. Which statement
explains whether or not Maynard is correct?

Answers

Answer:b

Step-by-step explanation:

Maynard is incorrect on the number line a is to the left of b thus a < b can be represented thus option (A) is correct.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given number line,

If a number is going to the left of a number line then it will become lower and lower.

Since a is on the left of b so a < b.

It is also obtained that a is less than 0 so it will be negative while b will be positive since all negative value is less than positive thus a < b will be correct.

Hence "Maynard is mistaken since an is to the left of b on the number line, which can be expressed as a b".

For more about inequality,

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What is the value of (-1/2)^-4?
O-16
1/16
1/16
O 16

Answers

Hmmm 16 pretty sure

Answer: answer is 16

Step-by-step explanation:

Got it right on edge

The measure of is 150°. What is the value of ?


30°
90°
120°
210°

Answers

it is 120 value...............................

Which description best compares the graphs of the two functions below I ready

Answers

Answer:

Some of your pic is cut off so it's difficult to give the exact answer.  But if you plot the points from the table you get that the equation for that set of data is linear and is y = 1/3x -2.  This tells me that the y-intercepts are the same for both equations, so your answer is not the first or the third.  Because the slope of the function A is 3 and for B is 1/3, the line for function A is steeper, the second of your choices above.

Y=3x-1 is dilated by a scale factor of 4 and center at the origin what is the equation that represents the image of the line after the dilation

Answers

Answer: x=1/3y+1/3

Step-by-step explanation: Step 1: Flip the equation. 3x−1=y Step 2: Add 1 to both sides. 3x−1+1=y+1/3x=y+1 Step 3: Divide both sides by 3. 3x/3 = y+1/3 x= 1/3 y+ 1/3

someone please help....
Asap ILL GIVE 20 points

Answers

Answer:

5Y+8

Step-by-step explanation:

Answer:5 y +40

Step-by-step explanation: you do 5 times y which is 5y and do 5 times 8 which is 40. And add them together.

Emiko needs to go to the dentist. It takes her 65 minutes to get there on her bike. This is 5 minutes shorter then twice the time it would take by bus. Write and slove an equation to find how long it takes Emiko to get to the dentist by bus.

Answers

Answer:

30 minutes by bus

Step-by-step explanation:

Equation: b = bus

b = (65 - 5) / 2

b = 60/2

b = 30 mins

Please give Brainliest :)

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