A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. if the smaller rim makes x revolutions per second, how many revolutions pe

Answers

Answer 1

1 revolution of a circle = circumference of that circle.

1 revolution of a circle with the diameter of 28 inches = πd=28ππd=28π inches. Hence, x revolutions per second = 28πx28πx inches per second = 60∗28πx60∗28πx inches per minute.

Given that 60∗28πx=35πn60∗28πx=35πn --> n=60∗28πx35π=48xn=60∗28πx35π=48x.

Related Questions

Pratap Puri rowed 14 miles down a river in 2 hours, but the return trip took him 3 and one half hours. Find the rate Pratap can row in still water and find the rate of the current. Let x equals rate Pratap can row in still water and y equals rate of the current. What is the rate that Pratap rows in still water?

Answers

let the rate in still water be x and rate of the current be y.
speed down the river is:
speed=distance/time
speed=14/2=7 mi/h

speed up the river is:
speed=(14)/(3.5)=4 mi/hr
thus total speed downstream and upstream will be:
x+y=7...i
x-y=4.......ii
adding the above equations i and ii we get:
2x=11
x=5.5 mi/hr
thus
y=5-5.5=1.5 mi/r
thus the speed in still waters is 5.5 mi/hr
speed of current is 1.5 mi/hr

Final answer:

By establishing equations based on Pratap's rowing times upstream and downstream, we find that Pratap's rowing rate in still water is 5.5 miles per hour.

Explanation:

Finding Pratap's Rowing Rate in Still Water and the Current Rate

To calculate Pratap Puri's rowing rate in still water and the rate of the current, we need to set up two equations based on the information provided. We know that Pratap rowed 14 miles down a river in 2 hours and the return trip took 3 and a half hours.

Step-by-Step Solution

Let x be the rate at which Pratap can row in still water, and y be the rate of the current.

The downstream speed (with the current) is x + y, and the upstream speed (against the current) is x - y.

Using the formula distance = rate × time, for the downstream trip we have 14 = (x + y) × 2, and for the upstream trip 14 = (x - y) × 3.5.

Simplifying both equations gives us: 7 = x + y and 4 = x - y.

To find x, add the two equations to eliminate y, yielding 11 = 2x, or x = 5.5.

Therefore, Pratap's rowing rate in still water is 5.5 miles per hour.

WHAT IS THE VALUE OF X

Answers

check the picture below.

[tex]\bf \stackrel{(x+4)+1}{(x+5)}(x+4)=\stackrel{(x+1)+11}{(x+12)}(x+1)\implies x^2+9x+20=x^2+13x+12 \\\\\\ 9x+20=13x+12\implies 8=4x\implies \cfrac{8}{4}=x\implies 2=x[/tex]

PLEASE PLEASE HELP ME WITH THESE!!!!

I REALLY NEED HELP AND I WILL AWARD BRAINLIEST FOR WHO IS CORRECT!!!

1. The table below shows the number of cameras sold in each month at the camera shop.

January: 35 cameras were sold

Feb. 21 cameras were sold

Mar. 35 were sold.

April: 55 were sold

May: 73 were sold

Jun. 82 sold

Jul. 85 were sold

Aug. 64 cameras were sold

Sep. 52 sold

Oct. 42 were sold

Nov. 89 were sold

Dec. 125 cameras sold

Use the set of data to answer the question.

The camera shop wants to use the measure of central tendency that expresses how successful they are in selling cameras. Which measure of central tendency should they choose?

A. Mean

B. Interquartile

C. Mode

D. Median

PLEASE HELP PLEASE AND THANK YOU!!!

Answers

mean would be the correct answer

mean is the correct one

Find the area of a trapezoid based on the information given below. H=4√2 b1=5√2 b2=3√2

Answers

The formula of the area of the trapezoid:
[tex]A=\dfrac{b_1+b_2}{2}\cdot h[/tex]
We have:
[tex]b_1=5\sqrt2;\ b_2=3\sqrt2;\ h=4\sqrt2[/tex]
Substitute:
[tex]A=\dfrac{5\sqrt2+3\sqrt2}{2}\cdot4\sqrt2=\dfrac{5\sqrt2}{2}\cdot4\sqrt2=\dfrac{5\cdot4\cdot\sqrt2\cdot\sqrt2}{2}\\\\=\dfrac{20\cdot2}{2}=20[/tex]
Used: [tex]\sqrt{a}\cdot\sqrt{a}=a[/tex]

Would someone Please answer this question please will be thanked and also will pick brainly!! (please be honest)

Answers

The answer to this question is 360ft^2

I NEED UR HELP PLEASE..

Answers

cos θ = [tex] \frac{adj}{hyp} [/tex]

If θ = 30° ; adj = 2 ; hyp = x

Then cos 30° = [tex] \frac{2}{x} [/tex]

⇒ x = [tex] \frac{1}{(cos30)(2)} [/tex]

x = 2.31

Base your answer to the question on the diagrams shown below.

What is the probability of drawing a red card and then spinning a 1?

Answers

The probability of drawing a red card and spinning a 1 are independent events, thus to get the probability of them occurring at the same time we shall have:
P(Red)×P(Spinning 1)
P(Red)=2/5
P(Spinning 1)=4/8=1/2
Thus:
P(Red)×P(Spinning 1)=1/2×2/5=1/5

Answer: [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

From the given picture, the total number of cards = 5

The number of red card = 2

Thus, the probability of drawing a red card P(red)=[tex]\frac{2}{5}[/tex]

Also, total number of digits on spinner = 8

Number of 1's=4

Thus, the probability of spinning a 1 P( spinning 1)=[tex]\frac{4}{8}=\frac{1}{2}[/tex]

Since both the events of drawing a red card and spinning a 1 are independent events, therefore, the probability of drawing a red card and then spinning a 1=[tex]\text{ P(red)}\times\text{P( spinning 1)}=\frac{2}{5}\times\frac{1}{2}=\frac{1}{5}[/tex]

What's the diameter of a cirlce eith an area of 615.75?

Answers

area of circle =πr²

πr²=615.75
r²= 615.75*7/22

r=²√196 =14

diameter =2r=2*12 =28

Suppose you are headed toward a plateau 70 m high. If the angle of elevation to the top of the plateau is 60 degrees, how far are you from the base of the plateau?

Answers

see the picture attached to better understand the problem

we know that

in the right triangle ABC
tan 60°=BC/AC----> AC=BC*tan 60°-----> AC=70*tan 60°----> AC=121.24 m

the answer is
121.24 m

Final answer:

To find the distance from the plateau's base, use the tangent function with the given height and angle of elevation.

Explanation:

We can use trigonometry to determine the distance from the base of the plateau. The vertical height of the table (opposite side) is 70 m, and the elevation angle to the top of the plateau (theta) is 60 degrees. We can use the tangent function to find the distance (adjacent side) from the table's base: tan(theta) = opposite/contiguous. Solving for the space, we get: adjacent = contrasting/tan(theta). Plugging in the values, the distance from the plateau's base is approximately 40 m.

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The matrix below represents the number of minutes four friends spend driving to each others’ homes each week. A row label represents the friend driving and a column label represents the friend being visited.

Answers

We read matrices by row and then column, so I believe the answer is 45 minutes. Answer choice D.

Answer:

D - 45

Explanation:

Hope you have a great day!

50 points to answer this for me
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4−x and y = 8−x−1 intersect are the solutions of the equation 4−x = 8−x−1. (4 points)

Part B: Make tables to find the solution to 4−x = 8−x−1. Take the integer values of x between −3 and 3. (4 points)

Part C: How can you solve the equation 4−x = 8−x−1 graphically? (2 points)

Answers

the correct question is
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4−x and y = 8-x^-1 intersect are the solutions of the equation 4−x = 8-x^-1.
Part B: Make tables to find the solution to 4−x = 8-x^-1. Take the integer values of x between −3 and 3.
Part C: How can you solve the equation 4−x = 8-x^-1 graphically?

Part A. We have two equations: y = 4-x and y = 8-x^-1
Given two simultaneous equations that are both to be true, then the solution is the points where the lines cross. The intersection is where the two equations are equal. Therefore the solution that works for both equations is when
4-x = 8-x^-1
This is where the two graphs will cross and that is the common point that satisfies both equations.

Part B
see the attached table
the table shows that one of the solutions is in the interval [-1,1]

Part C To solve graphically the equation 4-x = 8-x^-1

We would graph both equations: y = 4-x and y = 8-x^-1

The point on the graph where the lines cross is the solution to the system of equations.

using a graph tool

see the attached figure N 2

the solutions are the points

(-4.24,8.24)

(0.24,3.76)

Part A. We have two equations: y = 4-x and y = 8-x^-1

Given two simultaneous equations that are both to be true, then the solution is the points where the lines cross. The intersection is where the two equations are equal. Therefore the solution that works for both equations is when

4-x = 8-x^-1

This is where the two graphs will cross and that is the common point that satisfies both equations.

Part B

see the attached table

the table shows that one of the solutions is in the interval [-1,1]

Part C To solve graphically the equation 4-x = 8-x^-1

We would graph both equations: y = 4-x and y = 8-x^-1

The point on the graph where the lines cross is the solution to the system of equations.

using a graph tool

see the attached figure N 2

the solutions are the points

(-4.24,8.24) (0.24,3.76)

What is the domain for the piece of the function represented by f(x) = x + 1?

Answers

Answer:

All real numbers

Step-by-step explanation:

The domain of the function represented by f(x) = x + 1 is the all real numbers as there is only addition involved in the function so putting any number as input will not lead the function to infinity.

Over the past week, 34 baby boys were born at the hospital. this was 54% of all babies born. how many girls were born over the past week? (enter numeric value only. if grounding is necessary, round to the nearest whole number

Answers

29 because you just have to cross multiply if 34/x= 54/100 just cross multiply and x(the total # of babies born) is about 63 and 63-34=29

What is the name of the polygon if the sum of the measures of its interior angles is 1080°?

Answers

The answer is an eight sided shape; octagon

Answer:

Octagon

Step-by-step explanation:

It has 8 sides

How many ears of corn would equal to 5 pounds?

Answers

7 ears equal five pounds.

line AB is tangent to circle O at A. The diagram is not drawn to scale.

If AO=21 and BC=14, what is AB?

Answers

AO = 21
BC = 14
OC = radius of the circle = AO = 21
∴ OB = OC + CB = 21 + 14 = 35
Line AB is tangent to circle O at A
∴ AB is perpendicular to AO
∴ Δ OAB is a right triangle at A
Applying Pythagorean theorem
∴ OB² = AO² + AB²
∴ AB² = OB² - AO² = 35² - 21² = 1225 - 441 = 784
∴ AB = √784 = 28

Suppose that the measure of the minor arc BD is 172°. Find m BCD. (I need help on all questions in picture)

Answers

Arc BCD will 188 degrees :

the circle is 360 and BD+BCD=360

so BCD=360-172=188

All ticket for a concert are the same price.

Amy and dan pay £63 altogether for some tickets.
Amy pays 24.50 for 7 tickets.

How many tickets does Dan buy?

Answers

we know that
if Amy pays 24.50 for 7 tickets
so
cost each ticket is=24.50/7-----> £3.50

find the total number of tickets=£63/£3.50-----> 18 ticket
let
x-----> amount of tickets purchased by Dan
18=7+x -----> x=18-7-----> x=11

the answer is
11

To determine how many tickets Dan bought, we calculate the price per ticket from Amy's purchase as £3.50 each. Then we subtract Amy's payment from the total to find Dan's payment of £38.50, and finally, we divide Dan's payment by the price per ticket to find that Dan bought 11 tickets.

The question involves finding out how many tickets Dan bought for a concert, using the total amount paid by both Amy and Dan and the price Amy paid for her tickets.

First, we need to find out the price per ticket from the information provided about Amy's purchase:

Amy pays £24.50 for 7 tickets.

To find the price per ticket, we divide £24.50 by 7:

Price per ticket = £24.50 / 7 = £3.50

Next, we use the total amount paid to find out how much Dan spent:

Total amount paid by Amy and Dan = £63

Amount paid by Amy = £24.50

So, the amount paid by Dan = Total amount - Amount paid by Amy

Amount paid by Dan = £63 - £24.50 = £38.50

To find out how many tickets Dan bought, we divide the amount he paid by the price per ticket:

Number of tickets Dan bought = £38.50 / £3.50

Number of tickets Dan bought = 11 tickets

If the diameter of a sphere is 12cm, what is its volume to the nearest hundredth

Answers

4/3×3.14×6^3=904.32cm

10 - 3(3x - 40) = -9x A)x = -9 B)no solution C)x = 10 D)all real numbers

Answers

Remove the brackets on the left
10 - 9x + 120 = - 9x You get a bizarre result no matter what you try to do to resolve this. If you say any number will do pick, a number at random for x. Say 10

10 - 90 + 120 = -90 Is this statement true? No. You only need 1 exception but 0 is a popular number to look for answers. Will it work?
10 - 0 + 120 = 0 That doesn't work either.

There is no number you could pick that that would give you anything but 10 + 120 = 0

B <<<<<< No Solution

Identify the value that is NOT in the range of the piece-wise function.

A. -3

B. 1

C. 3

D. -1

Answers

Hello!

Since the point (2, 1) is not shaded it is not involved in the answer

The answer is B)1

Hope this helps!

the answer is -3
looking at the graph, none of the lines drawn on the graph are at Y= -3
(the lowest dot on the graph is -2)

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Check all that apply.

A. y = –x + 1
B. 3x − 4y = −4
C. 4x − 3y = −3
D. y – 2 = –(x – 4)
E. y + 2 = (x + 4)

Answers

First, we find the slope of the given line.

3x − 4y = 7

-4y = -3x + 7

y = (3/4)x - 7/4

The slope of the given line is 3/4.
The slope of the parallel line is also 3/4.

Now we need the equation of the line that has slope 3/4 and passes through point (-4, -2),

We use the point-slope form of the equation of a line.

y - y1 = m(x - x1)

y - (-2) = (3/4)(x - (-4))

y + 2 = (3/4)(x + 4) <---- check option E. Is the fraction 3/4 not there?

y + 2 = (3/4)x + 3

y = (3/4)x + 1

4y = 3x + 4

3x - 4y = -4 <------ this is choice B.

Yo!!!NEED HELP!!!!WILL GIVE BRAIN!!!!!!!

Answers

First, we are going to find if the function is odd or even. Remember that we can determine if a function is odd of even from its graph by looking at its ends; if both ends go to the same the direction, the function is even. If both ends go to opposite directions, the function is odd. At both ends, the graph of our function go towards the same direction, minus infinity, so we can conclude that our function is even.

Next, we are going to find the possible degree of our function. Remember that the possible degree of a function is the number of x-intercepts.
We can infer from our graph that the function intercepts the x-axis at least 6 times.

We can conclude that the correct answer is: even degrees of 6 or greater.

There was a sample of 200 milligrams of a radioactive substance to start a study. since then, the sample has decayed by 5.4% each year. let t be the number of years since the start of the study. let y be the mass of the sample in milligrams. write an exponential function showing the relationship between y and t .

Answers

For this case we have a function of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: decrease rate
t: time
Substituting values we have:
y = 200 * (0.946) ^ t
Answer:
An exponential function showing the relationship between and and is:
y = 200 * (0.946) ^ t

The exponential function representing the relationship between the mass y of a radioactive sample in milligrams and t years since the start of the study is y = 200(1 - 0.054)^t.

The student is given a starting mass of a radioactive substance and the percentage of the mass that decays each year. To write an exponential function that models this situation, we consider the initial mass, which is 200 milligrams, and the decay rate, which is 5.4% per year. The relationship between the mass y and the time t in years can be represented by the formula y = 200(1 - 0.054)^t.

Using an exponential decay model, we understand that the amount of substance decreases by a certain percentage each year. To account for this, we raise the base (1 - 0.054) to the power of t, representing the number of years, which gives us the factor by which the original mass has reduced.

can someone please solve 5-2x<7

Answers

Add 2x and subtract 7
5 -2x +2x < 7 +2x . . . . . . showing 2x added
5 < 7 +2x . . . . . . . . . . . .. simplified
5 -7 < 7 -7 +2x . . . . . . . . showing 7 subtracted
-2 < 2x . . . . . . . . . . . . . . . simplified
Now, divide by 2
-1 < x

The solution is -1 < x.

Iq test scores are normally distributed with a mean of 100 and a standard deviation of 15. find the x-score that corresponds to a z-score of 2.33.

Answers

Answer: 134.95 to be exact

you multiply the zscore with the standard deviation and add the mean

The formula for calculating the z-score:

z = (x - μ) / σ
Where

μ - mean

σ = standard deviation

The x-score that corresponds to a z-score of 2.33 is 134.95.

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

Iq test scores are normally distributed:

Mean = 100

Standard deviation = 15
z-score = 2.33

The formula for calculating the z-score:

z = (x - μ) / σ

Where

μ - mean

σ = standard deviation

Now,

2.33 = (x - 100) / 15

Multiply 15 on both sides.

2.33 x 15 = x - 100

34.95 = x - 100

Add 100 on both sides.

34.95 + 100 = x

x = 134.95

Thus,

The x-score that corresponds to a z-score of 2.33 is 134.95.

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During the first part of a trip, a canoeist travels 96 miles at a certain speed. the canoeist travels 15 miles on the second part of the trip at a speed 5 mph slower. the total time for the trip is 4 hrs. what was the speed on each part of the trip?

Answers

This problem is a problem using
d = r * t
First part of the trip
d = 96 miles
r = ??
t = ??

Second part of the trip
d = 15 miles
r = r - 5
t = 4 - t

Solve for r first.
96/r + 15/(r - 5) = 4 hours multiply through by r and r - 5
96(r - 5) + 15r = 4*(r - 5)(r) Remove the brackets on the left
96r - 480 + 15r = 4*r*(r - 5) Collect like terms on the left.
111r - 480 = 4r(r - 5) Remove the brackets on the right.
111r - 480 = 4r^2 - 20r Bring the left side over to the right side.
0 = 4r^2 - 20r - 111r + 480 Collect like terms.
0 = 4r^2 - 131r + 480

The only way I could do this was to use the quadratic equation.

[tex]\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a} [/tex]

a = 4

b = - 131

c = 480

[tex]\text{x = }\dfrac{ -(-131) \pm \sqrt{(-131)^{2} - 4*4*480 } }{2*4} [/tex]
[tex]\text{x = }\dfrac{ 131 \pm \sqrt{(17161) - 7680 } }{8} [/tex]
[tex]\text{x = }\dfrac{ 131 \pm \sqrt{9481 } }{8} [/tex]
[tex]\text{x = }\dfrac{ 131 \pm 97.37 }{8} [/tex]

x = (131 + 97.38)/8
x = 28.55
x = (131 - 97.37)/8
x = 4.20

4.2 isn't going to work because the slower speed has to be larger than 5, otherwise you will get a negative speed (as this solution will give), so 4.20 is an extraneous solution.

r = 28.55 for the first part of the trip and
r = 23.55 for the second part of the trip.

Check.
Let's see if the times add up to 4
d/r = t
96/28.55 = 3.36
15/22.75 = 0.64

The times do = 4, so the rates are correct.

Answers
r1 = 28.55 for the 96 mile trip.
r2 = 23.55 for the 15 mile trip.

Whats the distance between points C(0, 4), T(-6, -3)

a √(37)
b √(85)
c √(109)

Answers

[tex]\text{The formula of the distance between points}\ A(x_A;\ y_A)\ \text{and}\ B(x_B;\ y_B):\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}[/tex]

[tex]\text{We have:}\\C(0;\ 4);\ T(-6;-3)\\\\\text{substitute coordinates of the points to the formula:}\\\\|CT|=\sqrt{(-6-0)^2+(-3-4)^2}=\sqrt{(-6)^2+(-7)^2}=\sqrt{36+49}=\sqrt{85}[/tex]

[tex]\text{Answer:}\ b.\ \sqrt{85}[/tex]

Write (3n)^3 without exponents

Answers

(3n)³
= (3n)×(3n)×(3n)
= 27 × n × n × n

Answer:

Without exponents, we can write the term as: [tex]27(n)(n)(n)[/tex]

Step-by-step explanation:

The given term is :

[tex](3n)^{3}[/tex]

This can be written as:

[tex](3n)(3n)(3n)[/tex]

= [tex]27n^{3}[/tex]

= [tex]27(n)(n)(n)[/tex]

Hence, without exponents, we can write the term as: [tex]27(n)(n)(n)[/tex]

Drew ran 5 3/ 8 miles yesterday. Collin ran 8 5/12 miles yesterday. How much farther did Collin run? Choose the correct values to leave your answer as a mixed number. Numbers may be used once or not at all.

Answers

Answer:

The correct answer is 3 1/24

Step-by-step explanation:

because I did all the math

Answer:

3 1/24

Step-by-step explanation:

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