The radii of the pedal sprocket, the wheel sprocket, and the wheel of the bicycle in the figure are 4 inches, 2 inches, and 14 inches, respectively. A cyclist is pedaling at a rate of 1 revolution per second.

(a) Find the speed of the bicycle in feet per second and miles per hour.
ft/sec
mph

(b) Use your result from part (a) to write a function for the distance d (in miles) a cyclist travels in terms of the number n of revolutions of the pedal sprocket.
d =


(c) Write a function for the distance d (in miles) a cyclist travels in terms of time t (in seconds). Compare this function with the function from part (b).
d =

Answer:

The further compounding cycles in a given year, the greater the effect on the valuation of potential investment. Therefore, the more interest-posting dates, irrespective of the interest rate, the more compounding raises the account balance.

Step-by-step explanation:

Answer:

C

the computed value gets larger

Step-by-step explanation:

Answer:

9 minutes

Step-by-step explanation:

Answer:

324

Step-by-step explanation:

4 × 6 × 11 in = 264 [tex]in^{2}[/tex]

3 × 4 × 5 in = 60 [tex]in^{2}[/tex]

264+60= 324

Given:

[tex]\{(x,y)|5x-7y<0, x\in I, y\in I\}[/tex]

To find:

The test point is in the solution set for the linear inequality.

Solution:

The inequality is

[tex]5x-7y<0[/tex]

Here, [tex]x\in I, y\in I[/tex]. It means, both x and y both are integers. So, the option D is incorrect because 1.5 and 3.5 are not integers.

For option A, the point is (-2,-1).

Putting x=-2 and y=-1 in the given inequality, we get

[tex]5(-2)-7(-1)<0[/tex]

[tex]-10+7<0[/tex]

[tex]-3<0[/tex]

This statement is true. So, the point (-2,-1) is in the solution set.

For option B, the point is (-4,-3).

Putting x=-4 and y=-3 in the given inequality, we get

[tex]5(-4)-7(-3)<0[/tex]

[tex]-20+21<0[/tex]

[tex]1<0[/tex]

This statement is false. So, the point (-4,-3) is not in the solution set.

For option C, the point is (-2,-4).

Putting x=-2 and y=-4 in the given inequality, we get

[tex]5(-2)-7(-4)<0[/tex]

[tex]-10+28<0[/tex]

[tex]18<0[/tex]

This statement is false. So, the point (-2,-4) is not in the solution set.

Therefore, the correct option is A.

Answer:

x = 3

Step-by-step explanation:

Using the triangle similarity theorem

x/x+3 = x+3/12

Cross multiply

12x = (x+3)(x+3)

12x = x²+3x+3x+9

12x =  x²+6x+9

x²+6x+9-12x = 0

x²-6x+9 = 0

Factorize

x²-3x-3x+9 = 0

x(x-3)-3(x-3) = 0

x - 3 = 0

x = 3 twice

Hence the value of x is 3

Answer: (-8,0) (0,4)

Step-by-step explanation: graphing it would be for coordinate one (-8,0) and for the second coordinate it would be (0,4.) and for the x y chart it goes for x's it goes -8 and then next is 0 and for the y's, it's 0 then next is 4. give me brainliest thankssss

Answer:

-16

Step-by-step explanation:

8 - 4 x 2 x 3 =

8 - 24 =

-16 =

Answer:

B, I think that's the answer

Answer:

x = 84

Step-by-step explanation:

1. Solve for m<R

The sum of angles in a triangle is 180 degrees, regardless of each individual angle measure in the triangle. One can apply that to triangle QRS by stating that;

m<SQR + m<R + m<QSR = 180

Substitute

68 + 3x + m<R = 180

Inverse operations,

m<R = 112 - 3x

2. Solve or m<PSR

Verticle angles theorem states that when two lines intersect, four angles are formed. The angles that are opposite each other are congruent. Using this, one can concluce that;

m<TSU = m<PSR = 4x

3. Solving for x

Now all one has to do is apply the sum of angles in a triangle theorem for triangle PSR

m<P + m<R + m<PSR = 180

Substitute,

x + 112 - 3x + 4x = 180

Simplify

2x + 112 = 180

Inverse operations

2x + 112 = 180

     -112      -112

2x = 168

/5       /5

x = 84

Answer:

732 pieces

Step-by-step explanation:

458/5/8

= 458* 8/5= 732 pieces

if my answer helps please mark as brainliest

Answer:

is c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

x/4=21

multiply 4 on both sides

4*(x/4)=21*4

21*4=84

4*(x/4)=x

x=84

Answer:

When x = 2.4, we have y = 10.8

Step-by-step explanation:

A direct variation of two variables, x, and y, can be written as:

y = k*x

Where k is a constant, called the constant of variation.

We know that y = 7.2, when x = 1.6

Then we can replace these two in the above equation to get:

7.2 = k*1.6

Now we can solve this for k:

7.2/1.6 = k = 4.5

Then our relation is:

y = 4.5*x

Now we want to find the value of y, when x = 2.4

Then we just need to replace x by 2.4 in the above equation:

y = 4.5*(2.4) = 10.8

y = 10.8

Answer:

640

Step-by-step explanation:

Using the Central Limit Theorem, it is found that the researcher should use a sample size of 640.

Hence, for the standard deviation to be cut be half, the sample size has to be multiplied by 4, which means that it should be of 4 x 160 = 640.

To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/25581475

Answer:

121 feet

Step-by-step explanation:

Equation:

484 / 4 = 121

Word Explanation:

If there are 4 sides in a square and the total of all 4 sides is 484, We have to divide 484 by 4 and get 121 feet.

The perimeter of the square fence is P = 88 feet and Tyrone needs 22 feet of fence on each side

The perimeter of a square is given by four times the length of its each side

The equation for the perimeter of the square with the side 'a' is given by

Perimeter of Square = 4a

Given data ,

Let the perimeter of the square be represented as P

Now , the equation will be

Let the side length of the square be a²

The area of the square is A = 484 feet²

Taking square roots on both sides of the equation , we get

A = a²

a² = 484

a = 22 feet

Now , perimeter of the square P = 4a

Substituting the values in the equation , we get

Perimeter of the square P = 4 x 22

Perimeter of the square P = 88 feet

Hence , the perimeter of the square is 88 feet

To learn more about perimeter of square click :

https://brainly.com/question/11495285

#SPJ6

Answer:

The average speed at which Nimes drove his car was 50 miles per hour.

Step-by-step explanation:

Given that Nimes was driving to the hotel at 1:30 p.m., being 65 miles away from it, and finally arriving at its destination at 2:48 p.m., to determine the average speed at which the circle should be made. following calculation:

14:48 - 13:30 = 1:18

60 = 100

18 = X

(18 x 100) / 60 = X

1,800 / 60 = X

30 = X

65 / 1.30 = X

50 = X

Therefore, the average speed at which Nimes drove his car was 50 miles per hour.

Answer:

it is exponent less than 1

Answer:

ANSWER IS D

Step-by-step explanation:

forgive me if is wrong

Answer:

12

Step-by-step explanation:

[tex]F \alpha \frac{1}{d^{2} }[/tex]

[tex]F = \frac{K}{d^{2} }[/tex]

When F = 18; d = 2

[tex]18 = \frac{K}{2^{2} }[/tex]

[tex]18 = \frac{K}{4}[/tex]

Cross multiply;

18 x 4 = K

72 = K

There the equation connecting F and [tex]d^{2}[/tex] is

[tex]F = \frac{72}{d}[/tex]

Now, Find F when d = 6

All you do is to substitute d = 6 in to [tex]F = \frac{72}{d}[/tex]

[tex]F = \frac{72}{6}[/tex]

Therefore;

F = 12

Please mark me brainiest if correct.

Answer:

The range of the (f+g)(x) is all real number or [tex]]-\infty,\infty[[/tex]

Step-by-step explanation:

Let's difne the addition of two funtion as:

[tex](f+g)(x)=f(x)+g(x)[/tex]

[tex](f+g)(x)=|x|+9-6[/tex]

[tex](f+g)(x)=|x|+3[/tex]

The range of the (f+g)(x) is all real number or [tex]]-\infty,\infty[[/tex].

I hope it helps you!

Answer:

a

Step-by-step explanation:

Answer: He would have 16590 but if we want to know in total

it would be, 11060 (just from the percent) if you want to know in total add 16590 and 79,000 which would be (95,590 for Landon) and (Elijah would be 90060) in total

Step-by-step explanation:So in total Landon would have:

Landon-(95,590)

Elijah-(90,060)

So Landon would have 5,530 more dollars in 7 years than Elijah.

Answer:

15 days

Step-by-step explanation:

Answer:

15 days

Step-by-step explanation:

as

12×5/4

=15

hope it helps you

Answer:

The simpler way is:

SP = 0.85*RP

Step-by-step explanation:

Suppose that we have a given amount A. and now we take a given percentage, X%, off.

The new amount will be:

New amount = A - (X%/100%)*A = A*(1 - X%/100%)

This is the general formula.

In this case, we know that the store has advertised 15% off, then we have X% = 15%

Then if:

SP = sales price

RP = regular price

We will have the equation:

SP = RP - (15%/100%)*RP = RP - 0.15*RP

This is what Jill found, but if we use the general equation above, we will find that:

SP = RP*(1 - 15%/100%) = RP*(1 - 0.15) = RP*0.85

So we just need to multiply the regular price by 0.85 to get the sales price.

Answer:SP= 0.85RP

Step-by-step explanation:

i had this question i got it right :)

Answer:

The answer is 20.

X = -20

Answer: -20

Step by step explanation:

-10=x÷2

•2 •2

-20=x

Answer:

37.77

Step-by-step explanation:

because 42-5.23=37.77

Answer:

16.97056275

Step-by-step explanation: