If a wheel with a radius of 70 inches spins at a rate of 600 revolutions per minute, find the approximate linear velocity in miles per hour.

Answers

Answer 1

This is the concept of speed:
ω=600 rev/min=600*2π rad/min=1200 rad/min
v=rω=70*1200π =84,000 in/min
converting the above in miles per hour we get:
84000 in/min
=(84000*1.6*10^(-5)*60)
=80.64 mph

Related Questions

at right is graph of this situation predict how the line would change to present the average cost of gas in dicember of 2005 when gas cost $2.20 per gallon on average

Answers

The average cost represents the slope of the line of the graph.
Increasing the slope of the graph increases the steepness of the line.
Therefore, increasing the average cost of gas from $1.50 to $2.20 will increases the steepness of the line. (i.e. the line becomes closer to the vertical line).

1/2(6x-4)=2/3x How do i solve this?

Answers

Apply distributive property.

3x-2=2/3x

Multiply all terms by 3 so we won't have to deal with fractions.

9x-6=2x

Subtract 9x from both sides

-6=-7x

Divide both sides by -7

x= 6/7

Final answer: x=6/7

Find the product of (2x + 5y)2.

Answers

4x +10y is the product of (2x+5y)2

Distribute 2 to 2x and 5y using PEMDAS to get 4x+10y

ROUND 43.0810194943 TO THE NEAREST TEN-THOUSANDTH HELP!

Answers

43.0810
Since the hundred thousandths is a 1 which is less than a 5, you have to round down.

43.0810 is the answer. The ten thousandths is always four numbers after the decimal.

Suppose a rectangular garden has a length of 3c + 15 feet and a width of 4c feet. write an expression for the area of the garden in square feet.

Answers

A = L * W

A = 4c(3c + 15)
A = 12c^2 + 60c <==

The area of the rectangle is given by the equation A = 12c² + 60c

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Now , the equation will be

Let the length of the rectangle L = ( 3c + 15 ) feet

Let the width of the rectangle W = 4c feet

Now , the area of the rectangle A = length of the rectangle L x width of the rectangle W

Substituting the values in the equation , we get

Area of Rectangle A = ( 3c + 15 ) ( 4c )

On simplifying the equation , we get

Area of Rectangle A = ( 3c ) ( 4c ) + 15 ( 4c )

Area of Rectangle A = 12c² + 60c

Therefore , the value of A is 12c² + 60c

Hence , the area of the rectangle is A = 12c² + 60c

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ5

HELP!!!!
Use the following data set and a separate piece of paper to make a line plot that will help you to answer questions 2-7.
(6, 4, 4, 5, 1, 8, 10, 7, 8, 6, 6, 7, 5, 4, 6)
Add a box and whisker plot to the graph. Clearly mark the ends of box by drawing vertical lines and labeling their values on the horizontal axis. What are the ends of the box and whisker plot?

A. 1 and 6

B. 4 and 7

C. 4 and 8

D. 5 and 7

Answers

1,4,4,4,5,5,6,6,6,6,7,7,8,8,10

minimum = 1
Q1 = 4
Q2 (median) = 6
Q3 = 7
maximum = 10

The beginning and end of the " box " are Q1 and Q3.....4 and 7

I need help with all of these

Answers

13. "Colinear" -> "on the same line" -> A,B,E
14. "Coplanar" -> "on the same plane" -> B,C,D,E
15. Planes are name by 3 non-colinear points --> Plane ACE

18. Two points -> G &F
A line -> Line GF
19. Plane T and Plane S

If y varies directly with x and y = 10 when k = 10, what is the value of x?

Answers

y = k *x
y=10 ; k=10

10 = 10*x
x = 10/10 = 1

x =1

The base of the parallelogram, b, can be found by dividing the area by the height. If the area of the parallelogram is represented by 6x2 + x + 3 and the height is 3x, which represents b, the length of the base

Answers

In this item, we have:

A = 6x² + x +3
h = 3x

where ''A'' is area and ''h'' is height. From the statement above,
length of base, b = A / h

b = (6x² + x + 3)/3x

Thus, the expression for the length of the base is 6x²+x+3 / 3x.

Answer:

[tex]2x+\frac{1}{3}+\frac{1}{x}=Base[/tex]

Step-by-step explanation:

Given: The area of the parallelogram is [tex]6x^2+x+3[/tex] and the height is 3x.

To find: The base of the given parallelogram.

Solution: It is given that The area of the parallelogram is [tex]6x^2+x+3[/tex] and the height is 3x.

Now, area of parallelogram is given as:

[tex]A=b{\times}h[/tex] where b is the base and h is the height of teh gievn parallelogram.

Substituting the given values, we have

[tex]6x^2+x+3=b{\times}3x[/tex]

⇒[tex]\frac{6x^2+x+3}{3x}=Base[/tex]

⇒[tex]\frac{6x^2}{3x}+\frac{x}{3x}+\frac{3}{3x}=Base[/tex]

⇒[tex]2x+\frac{1}{3}+\frac{1}{x}=Base[/tex]

which is the required expression for the base of the given parallelogram.

Find the surface area of each figure to the nearest tenth. Show your work, please

Answers

Pyramid surface area (total): Lateral surface area + Base area

Lateral surface area = [tex] \frac{2p*a}{2} [/tex] where p is the base perimeter and a the apothem.

The base is a sqaure so, find the area of the square.

Base Area = 16*16 = 256 in²

Calculate the perimeter = 16*4 = 64 in

LSA = (64*17)/2 = (64*17)/2 = 1088/2 = 544 in²

TSA = 544+256 = 800 in²

Total surface of cone: LSA + Base Area

LSA = πra

Let's find the apotheme. Apply Pitagora, again the hypothenuse is the apotheme. The legs are the radius and the height.

a = √8²+3² = √64+9 = √73 ≈ 8,5 in.

Base area (area of the circle) = πr² = 3²*π = 9π in²

LSA = 3*8,5*π = 25,5π in²

TSA = 25,5π+9π = 34,5π = 34,5*3,14 = 108,3 in²

D: region D helppppppppp

Answers

you only hace to change x equal 0 and y equal 0, answer is D

Two pools are being filled with water. To start, the first pool contains 2200
liters of water and the second pool contains 1840
liters of water. Water is being added to the first pool at a rate of 21.25
liters per minute. Water is being added to the second pool at a rate of 32.5
liters per minute.
(PLEASE ANSWER QUICK)

Answers

2200 + 21.25X = 1840 +32.50X

subtract 1840 from each side

360+ 21.25X= 32.50X

subtract 21.25x from each side

360=11.25X

x= 360/11.25 = 32 minutes pool will have the same amount

21.25*32 = 680+2200 = 2880 liters

32.5*32 = 1040 + 1840=2880 liters

it will take 32 minutes and they will have 2880 liters each

Table to estimate how many pounds of dog food his dog eat in one year which of the following would be the best strategy

Answers

Let's say that the dogs eat 50 lbs of food in 50 days. That would mean they eat 50/50 = 1 pound per day. Notice I divided the weight over the number of days. The dog eats 1 pound per day, for 365 days, so in total it eats 365*1 = 365 pounds. This is just a hypothetical example.

In general, if x is the number of days to eat 50 pounds of food, then x/50 is the expression representing the amount eaten per day (in pounds). Finally 365*(x/50) is the expression representing the total amount eaten over the whole year.

This is why the final answer is choice C

A solution of phosphoric acid has a boiling point of 158 degrees Celsius. What is the boiling point of the solution in degrees Fahrenheit?

Answers

Final answer:

The boiling point of a phosphoric acid solution that is 158 degrees Celsius is 316.4 degrees Fahrenheit. This is found by using the formula F = C * 9/5 + 32.

Explanation:

To convert the boiling point of a solution from degrees Celsius to Fahrenheit, we use the formula F = C * 9/5 + 32, where F represents the temperature in Fahrenheit and C represents the temperature in Celsius.

In this case, the temperature in Celsius that you want to convert is 158 degrees. So you can substitute this value in the formula as follows:

F = 158 * 9/5 + 32

When you perform the calculation, you find that the boiling point of the phosphoric acid solution is 316.4 degrees Fahrenheit.

Learn more about Temperature Conversion here:

https://brainly.com/question/30451535

#SPJ12

Y varies jointly as x and z, and y = 32 m, x = 6 m, and z = 8 m. what is the value of y when x = 5 m and z = 12 m?
a. 90 m
b. 4 m
c. 40 m
d. 9 m

Answers

as x = 5 & z=12,

2/3 = y /(xz) = y/(5*12)

= y/60

so y / 60 = 2/3

y = (2*60)/3

= 40

Half of the population of cool town owns a bicycle, and 25% of the population owns a car. if 10% of the population owns both a car and a bicycle, what is the probability that a person chosen at random from cool town owns either a car or a bicycle or both?

Answers

75%...................

The amount of an ordinary $7,500.00 annuity for 3 years at 12 percent compounded quarterly is

Answers

[tex]\bf \qquad \qquad \textit{Future Value of an ordinary annuity}\\ \left. \qquad \qquad \right.(\textit{payments at the end of the period}) \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right][/tex]

[tex]\bf \qquad \begin{cases} A= \begin{array}{llll} \textit{accumulated amount}\\ \end{array} & \begin{array}{llll} \end{array}\\ pymnt=\textit{periodic payments}\to &7500\\ r=rate\to 12\%\to \frac{12}{100}\to &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four times} \end{array}\to &4\\ t=years\to &3 \end{cases} \\\\\\ A=7500\left[ \cfrac{\left( 1+\frac{0.12}{4} \right)^{4\cdot 3}-1}{\frac{0.12}{4}} \right][/tex]

Answer:

$180,997.50.

Step-by-step explanation:

1. On TABLE 14-1 Future Value of $1.00 Ordinary Annuity, select the periods row corresponding to the number of interest periods.

2. Select the rate-per-period column corresponding to the period interest rate.

3. Locate the value in the cell where the periods row intersects the rate-per-period column.

4. Multiply the annuity payment by the table value from step 3.

Future value = annuity payment × table value

FV = $7500.00 * 24.133 = $180,997.50

a 23 gram sample of a substance thats a by-product of fireworks has a K-value of .13. whats the substances half life in days

Answers

Given:
Initial mass, m₀ = 23 g
Decay constant, k = 0.13

Exponential decay obeys the equation
[tex]m(t)=m_{0} e^{-kt}[/tex]
where t = time, days

For half life, the mass is m = m₀/2.
Therefore
[tex]e^{-0.13t} = \frac{1}{2} \\ -0.13t = ln(0.5)\\t= \frac{ln(0.5)}{-0.13} =5.33[/tex]

Answer: The half life is 5.33 days

Answer:

5.3 is the right answer.

Step-by-step explanation:

Solve the following equation by transforming it into a perfect square trinomial. x2 – 4x = 5 will mark as brilliant

Answers

x^2 - 4x = 5
(x - 2)^2 - 4 = 5
(x - 2)^2 = 9

x- 2 = +/- sqrt9 = +/- 3
x = 3 + 2 or -3 + 2
solution set is {-1 , 5}

The solution of the given equation is -1 or 5

What is an equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example, 3x + 5 = 15.

Given is an equation, x²-4x = 5,

we need to transform it into a perfect square,

The equation is =

x²-4x = 5

Add 4 to each side,

x²-4x+4 = 5+4

x²-4x+4 = 9

(x-2)² = 9

Solving for x,

x-2 = √9

x-2 = ±3

x = -1 or x = 5

Hence, the solution of the given equation is -1 or 5

Learn more about equations, click;

https://brainly.com/question/29657983

#SPJ2

What is the length of diagonal ac in parallelogram ABCD if the diagonal BD = 10cm which is twice the diagonal AC?

Answers

Final answer:

The length of the diagonal AC in parallelogram ABCD is 5 cm.

Explanation:

Given that the diagonal BD is twice the length of diagonal AC, we can represent the length of diagonal AC as x. So, the length of diagonal BD would be 2x. From the given information, we know that BD = 10 cm. Therefore, we can write the equation 2x = 10 to solve for x. Dividing both sides of the equation by 2 gives x = 5. So, the length of diagonal AC is 5 cm.

Learn more about Length of diagonal in parallelogram here:

https://brainly.com/question/14632881

#SPJ12

Final answer:

In the given parallelogram, the length of the diagonal AC is 5 cm, given that the length of the diagonal BD is twice that of AC.

Explanation:

The question pertains to the properties of a parallelogram. In this case, it has been provided that diagonal BD (10 cm) is twice the length of the other diagonal AC. This implies that the length of diagonal AC is half the length of BD. Therefore, to find the length of AC, take the length of BD and divide by 2:

AC = BD / 2 = 10 cm / 2 = 5 cm

So, the length of diagonal AC is 5 cm.

Learn more about Parallelogram here:

https://brainly.com/question/32033686

#SPJ6

A quadratic equation is shown below:

25x2 + 10x + 1 = 0

Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (5 points)

Part B: Solve 4x2 − 4x + 1 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (5 points)

Answers

hello :

help :
the discriminat of each quadratic equation : ax²+bx+c=0 ....(a ≠ 0) is :
Δ = b² -4ac
1 ) Δ > 0 the equation has two reals solutions : x = (-b±√Δ)/2a
2 ) Δ = 0 : one solution : x = -b/2a
3 ) Δ < 0 : no reals solutions

at maximum speed, an airplane travels 1680 miles against the wind in 5 hours. Flying with the wind, the plane can travel the same distance in 4 hours.

Answers

The speed of the airplane with the wind is 420 mph, and against the wind is 336 mph. The speed of the wind is 84 mph.

To find the speed of the wind, we use the following formulas:

Against the wind, the airplane travels 1680 miles in 5 hours. So, the speed against the wind is : [tex]$ S_a = 1680 \div 5 = 336 $[/tex] mph

With the wind, the airplane travels the same distance of 1680 miles in 4 hours. So, the speed with the wind is: [tex]$ S_w = 1680 \div 4 = 420 $[/tex]mph

Let W be the speed of the wind.

Against the wind: [tex]$ S_a = S_w - W $[/tex]

[tex]\[ 336 = 420 - W \]\[ W = 420 - 336 = 84 \][/tex]

So, the speed of the wind is 84 mph.

Two cards are drawn at random from a standard deck of cards without replacement. What is the probability that both cards will be from the clubs suit?

Answers

Answer:

The answer is 1/17.

Step-by-step explanation:

You will draw one club which will be 13/52. You will NOT replace it so you will draw a second card 12/51.

You will need to multiply them to find the probability.

First simplify your two fractions.

13/52 = 1/4 AND 12/51= 4/17

Multiply the two together and you will get 4/68 = 1/17

Hope this helps :)

Find the sum of the geometric sequence. (1 point) 1, one divided by two, one divided by four, one divided by eight, one divided by sixteen

Answers

GP = 1/2 , 1/4 , 1/8 , 1/16
1st) the common ratio is (1/4 : 1/2 ) = 1/2, so r =1/2
2nd) the sum of a GP is:

S= a(1-rⁿ)/(1-r)

S=(1/2).[1-(1/2)⁴]/(1-1/2) = 15/16

Answer:

31/16

Step-by-step explanation:

.help me with this please thanks

Answers

i would say B .
They are not like terms because they are not all the same

ROUND 3.05947821031 TO THE NEAREST WHOLE NUMBER HELP

Answers

3 because the next number to the right is a 0 and will not be rounded up.

3.05947821031
^
whole number

if 3.xxx... < .5, round to 3.
If 3.xxx... > or = .5, round to 4.

Because .059 < .5, it is therefore rounded to 3.

5x - 10y = 15 if 3x + 7y = 31

Answers

5x - 10y = 15...reduces to x - 2y = 3
3x + 7y = 31

x - 2y = 3....multiply by -3
3x + 7y = 31
---------------
-3x + 6y = -9 (result of multiplying by -3)
3x + 7y = 31
---------------add
13y = 22
y = 22/13

x - 2y = 3
x - 2(22/13) = 3
x - 44/13 = 3
x = 3 + 44/13
x = 39/13 + 44/13
x = 83/13

solution is (83/13, 22/13) <=

3(5x-10y=15)-5(3x+7y=31)

15x-30y-15x-35y=45-155

-65y=-110

y=22/13, making 3x+7y=31 become

3x+154/13=31

39x+154=403

39x=249

x=83/13

So the solution to the system of equation is the point (83/13, 22/13)

HELP PLEASE! Which of these shows the following expression factored completely? 6x^2-13x=5

a (3x-1)(2x+5)
b (3x-5)(2x-1)
c (3x-1)(2x-5)
d (3x-5)(2x+1)

Answers

c (3x+1)(2x-5)
You have to try whatever factoring method you've been taught, but this is the answer.

The solution is: the following expression factored completely,

6x^2-13x=5 is: c (3x-1)(2x-5)

What is an expression?

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Here, we have,

we have,

6x² - 13x = +5

6x² - 13x - 5 = 0

6x² - 15x + 2x - 5 =0

so, we get,

(3x-1)(2x-5) = 0

The sign of the constant term is the product of the signs of the constants in the binomial factors: (+1)·(+5). We want a positive sign for the constant, so both binomial factor constants must have the same sign.

When the signs of the binomial factor constants are the same, the x-term constant will match them. Thus, for a positive x-term constant, both binomial factor constants must be positive.

The signs of the x-term and the constant term are both positive, so the signs of the constants in the binomial factors must be the same and must both be positive. The only offering that meets that requirement is

... C (3x-1)(2x-5)

Hence, The solution is: the following expression factored completely, 6x^2-13x=5 is: c (3x-1)(2x-5)

To learn more on Expression click:

brainly.com/question/14083225

#SPJ2

Rewrite the formula to find the radius of a sphere. The volume (V) of a sphere is given by the formula V=4/3 pi r^2

Answers

It is r^3 in the volume formula.

V=(4πr^3)/3 multiply both sides by 3

3V=4πr^3 divide both sides by 4π

r^3=3V/(4π) take the cube root of both sides

r=((3V)/(4π))^(1/3)

The function f(x) = –x2 + 20x – 75 models the profit from one customer, in dollars, a shop makes for printing photos, where x is the number of photos printed, and f(x) is the amount of profit.

Part A: Determine the vertex. What does this calculation mean in the context of the problem?

Part B: Determine the x-intercepts. What do these values mean in the context of the problem?

Answers

f(x) = -x^2 + 20x - 75 = (x-5)*(-x + 15)
The two x-intercepts are x = 5 and x = 15, which are the two values of x where f(x) = 0. The vertex is located halfway between these two points, so where x = 10. When x = 10, f(x) = 25, so the vertex of this graph is (10, 25).

Part A: The vertex is (10, 25). The vertex represents the point where the profit is a maximum. When 10 photos are printed, the profit is $25.

Part B: The two x-intercepts are x = 5 and x = 15. This shows where the profit is $0. When 5 photos or 15 photos are printed, the profit is $0.

Other Questions

Which choices are real numbers? Check all that apply.A. (-131072)^1/7B. (-531441)^1/12C. (-1024)^1/5D. (-256)^1/8 Most of the economic profits from slave labor in the colonies were spent on what back in britain? One school survey showed that 3 out of 5 students own a pet. Another survey showed that 6 out of 11 students owned a pet. Are these results equivalent? Explain your reasoning. Her nervousness had a profound affect on her ability to play the piano. It effected me too. One tip for building well-reasoned business positions is to Which of the following points can best be learned from the process of constructing the ancient pyramids in Egypt? Select one: a. All people should be treated well. b. It was acceptable to treat certain classes of people terribly; but, a certain group of people must be treated with utmost honor. c. Since this world was only a short waiting period before entering the Afterlife all people should sacrifice in this world.d. The gods who ensured that the Nile continued to run and the sun continued to shine must be honored.NOTE: It's not B or C. HELP! What is the alternate spelling of meager? Which part of the dictionary entry did you use to find the answer? Jane is performing in experiment on plant growth she places it in direct sunlight waters it at the same time every day and always gives the plants the same amount of water what is the independent variable? The amount of water, time, the amount of sunlight, or plant growth The equation x = 6 represents a vertical line. True or false Solve log 1/100 = log(10^x+2) A.) x= 0 B.) x= -2C.) x= -4 D.) x= 4 What was one result of the War of 1812? Jenny is receiving psychotherapy for an eating disorder. her therapist is warm and empathetic and can easily take her perspective. he encourages jenny to express her thoughts and feelings about her eating issues and does not judge or criticize anything she says. this therapist is most likely using a ________ therapeutic approach. find the volume of the shaded solid. Round your answer to 2 decimal places if necessary. Use pi=3.14 when necessary. cylinder with these 6ft, 18ft, 30 ft. Do you think that the Cold War is a appropriate name for the time period how to factor 6x^2+5x+1 Widely spaced isobars often indicate ________. Dimensions of dialogue, by czech animator jan svankmajer, can best be described as Bob is driving along a straight and level road toward a mountain. At some point on his trip, he measures the angle of elevation to the top of the mountain and finds it to be 2144'. Find the height of the mountain to the nearest foot if Bob is 13,428.7 feet from the center of the mountain at the base. A. 5453 ft B. 5353 ft C. 53,534 ft D. 535,342 ft An appraiser has just completed a search of the records for comparable residential properties that have sold within the last six months. he is using the Help with geometry... Steam Workshop Downloader