A point on a wheel moves at 32π/9 radians per minute. How many seconds are required for the point to complete 7 revolutions?

Answers

Answer 1

Answer:

The number of seconds required to complete 7 revolutions is 236.28 s.

Step-by-step explanation:

Given;

speed of the point on the wheel, ω = 32π/9 rad/min

number of revolutions made by the point, θ = 7 rev

The time taken for the point to make 7 revolutions is calculated as follows;

1 rev = 2π rad

[tex]time (t) = \frac{\theta }{\omega} = \theta \ \times \frac{1}{\omega} \\\\t = (7 \ rev \ \times \frac{2 \pi \ rad}{1 \ rev} ) \ \times (\frac{1}{32 \pi/9 \ \frac{rad}{\min} } )\\\\t = (7 \times 2\pi \ \ rad) \times (\frac{9}{32 \pi }\frac{\min}{rad}) \\\\t = 14 \pi \ (rad) \ \times \ \frac{9}{32 \pi}\ (\frac{\min}{rad} )\\\\t = \frac{14 \times 9}{32} \ \min\\\\t = 3.938 \ \min\\\\t = 3.938 \ (\min) \times \frac{60 \ s}{1 \ \min} \\\\t = 236.28 \ s[/tex]

Therefor, the number of seconds required to complete 7 revolutions is 236.28 s.

Answer 2

If you need to round up to the nearest tenth for this question, you'd put 236.3  
:))


Related Questions

what is the value of X in log 2 (x)-3=1

Answers

If log2 (x-3) =1

It means that:
2^1 = x-3
2=x-3 |+3 to both sides
2+3=x
x=5
x=2
If i did it right.
2x2=4
4-3=1

which is the best estimate of 2/5 + 1/7?

Answers

Answer:

2 / 35

Step-by-step explanation:

Use the drawing tool(s) to form the correct answers on the provided graph. In the given equation, y is a function of x. Graph the function in the coordinate plane. Use the Mark Feature tool to indicate the x- and y-intercepts of the function.

Answers

Answer:

Here is the graph of y is a function of x.

What the geometric mean of 4 and 8​

Answers

The answer is 4....

HELP ASAP!!! WILL MARK BRAINLIEST IF RIGHT!

Mr. Mole left his burrow that lies 7 meters below the ground and started digging his way deeper into the ground, descending at a constant rate. After 6 minutes, he was 161616 meters below the ground.

Let y represent Mr. Mole's altitude (in meters) relative to the ground after x minutes.

Complete the equation for the relationship between the altitude and number of minutes.

y=

Answers

Answer:

try dividing 161616 with 7 but I don't know what to do with the 6 sorry

Answer:

y=−1.5x−7

Step-by-step explanation:

mr. mole is descending as a constant rate, which means a linear equation. So, we must put it into slope-intercept form: y=mx + b, with m being slope or constant rate, and b being y-intercept

x – 1/4=1/2 what is x?

Answers

Answer:

x= 3/4

Step-by-step explanation:

x-1/4=1/2

 +1/4  +1/4

x=3/4

x is 3/4 ; 3/4-1/4=1/2

This is Adeles solution for the equation x^2+8x- 9 = 0 Step 1 x^2 +8x = 9 Step 2 x^2 +8x + 16 = 9 + 16 Step 3 ( x + 4 ) ^2 = 25 Step 4 x + 4 = 25 or x + 4 = - 25 Step 5 x = 21 or x = - 29. Where did Adele make her mistake? What are the solutions to this equation? Show all of your work. 2. Which would be the best method to use to solve the following equation. Explain your reasoning. A x^2 - 49 = 0 B. x^2 - 3x - 4 = 0 C. x^2 - 2x - 6 = 0 ​

Answers

Answer:

Adeles forgot to square root 25 in step 4 therefore the solutions would be 1 and -9

Step-by-step explanation:

Equation : x² + 8x - 9 = 0

Step 1 : x² + 8x = 9

Step 2 :  x² + 8x + 16 = 9 + 16

Step 3 :  ( x + 4 )² = 25

Step 4 :  x + 4 = 25 or x + 4 = - 25

Step 5 :  x = 21 or x = - 29.

Bacteria in a test tube increase at the rate of 0.9% per hour.
At 12 noon there are 4500 bacteria.
At 3 pm, how many bacteria will be present?
Give your answer to 3 significant figures.

Answers

Answer:

. (a) A scientist is doing an experiment on bacteria. She finds that the number ofbacteria in a test tube increase at a rate of 0.9% per hour.At 12 noon there are 4500 bacteria.At 3 pm, how many bacteria will be present? Give your answer to 3 significantfigures.

12pm 4500 bacteria1pm 4500 x 1.009 bacteria 2pm 4500 x 1.009 x 1.009 bacteria3pm 4500 x 1.009 x 1.009 x 1.009 bacteriaTherefore at 3pm there are 4620 bacteria present.

Answer: 4620 (3)(b) In another experiment with the same bacteria, the scientist counts 3000 bacteria.How many bacteria were there two hours prior to this measurement?Give your answer to 3 significant figures.

Now 3000 bacteria1 hour ago 3000 ÷ 1.009 bacteria 2 hours ago 3000 ÷ 1.009 ÷ 1.009 bacteriaTherefore 2 hours ago there were 2950 bacteria present

Answer: 2950

Step-by-step explanation:

2
Which equation best describes the graph? Please don’t just put anything down for points
8
6
2
-2
2
6
8
-2
1
6
-
A y = 3x + 2
C y = -3x + 2
B
D
ly= 3x + 2
y =
= -x + Ź

Answers

Answer:

C

Step-by-step explanation:

PLEASE HELP ME........​

Answers

Answer:

d

Step-by-step explanation:

The table represents a linear function

Answers

Answer:

the answer is: False

Given: m∠AKB = 25°
KO = 25

Find: V, Surface Area of of a cone

Please leave answers in term of Pi

Answers

Answer:

V = 255.98189 pi

SA = 172.64114π

Step-by-step explanation:

The first thing to do is find the radius.

the measure of angle AKO = 1/2 the measure of angle AKB

m< AKO = 12.5 degrees

Now use trig to find AO (aka the radius)

tan(12.5) = AO/25

AO = 25* tan(12.5)

I'm leaving it like this to get a more accurate number

Now to find the volume

the volume of a cone is pir^2h/3

plugging everything in we get:

pi(25*tan(12.5))^2 * 25/3

which is about 255.98189 pi

Now for surface area

(this is the moment I realize symbols exist)

SA = πr(r+√h²+r²)

plugging everything in we have

π(25tan(12.5))((25tan(12.5)+√625+(25tan(12.5))^2)

I know it looks like a lot but that's mainly because I left the radius as 25tan(12.5)

The Surface Area is about 172.64114π

Which line has the same slope as the line passing through (-4, -1) and (-1, -7) ?

Answers

Answer:

D

Step-by-step explanation:

Answer:

athe correct answer of this question is 6x + 3y = 5

Write the following rate as a simplified fraction 76 dogs to 48 cat​

Answers

Answer:

Do u mean like 19/12

Step-by-step explanation:

Like 76/48 it will be 19/12

Hope I helped u!!

19/12 is the fraction which is represented by rate of 76 dogs to 48 cat​.

To write the given rate, "76 dogs to 48 cats," as a simplified fraction, you need to express the number of dogs as the numerator and the number of cats as the denominator.

Therefore, the simplified fraction is:

76/48

To simplify this fraction, you can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 4:

(76 ÷ 4) / (48 ÷ 4)

= 19/12

Hence, 19/12 is the fraction which is represented by rate of 76 dogs to 48 cat​.

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ6

{[(9 − 2) × 3] + 3} − 5 =

Answers

Answer:

look at the picture i sent..........

help with math please:)))))

Answers

Answer:

63 un²

Step-by-step explanation

Formula for Triangle = 1/2(b*h)

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

Lets input our numbers

b(base) = 21

h(height) = 6

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

Lets multiply

1/2(6 x 21) =

1/2(126) = 63

Now add the units

63 un²

Select the correct answer.
What is the value of g(-4)?

Answers

Answer:

C. 1

Step-by-step explanation:

Use the first one since it is -4 so [tex]\sqrt[3]{-4+5} = \sqrt[3]{1} = 1[/tex]

Answer:

c.   1

Step-by-step explanation:

what is 3x+7x-9x+4x+10+12x if x=2

Answers

Answer: 44

Step-by-step explanation:

Answer:

3(2)+7(2)-9(2)+4(2)+10+12(2)

6+14-18+6+10+24

60-18

42

A section of a deck is shaped like a trapezoid. For this section, the length of one base is 31 feet, and the length of the other base is 24 feet. The height is 14 feet. What is the area of this section of the deck?

Answers

Area of a trapezoid= (big base+small base)/2 x height

A=(67+54)/2 x 18

A=60.5 x 18

A=1089

Hey, I have some algebra questions, I need to complete for tomorrow. One of them is: Simplify 4a + 12a. ​

Answers

Answer:

16a

Step-by-step explanation:

4a+12a=16a since they are the same variables.

What is the total length of all meteors that are 1 6/8 inches?

A line plot with the title, length of meteors. The data is a measurement in inches. The line plot goes from two eighths to one and seven eighths, with fourteen tick marks in all. The first tick mark is two eighths and has one data point. The second tick mark is three eighths and has three data points. The third tick mark is four eighths and has two data points. The fourth tick mark is five eighths and has no data points. The fifth tick mark is six eighths and has two data points. The sixth tick mark is seven eighths and has no data points. The seventh tick mark is one and has no data points. The eighth tick mark is one and one eighth and has no data points. The ninth tick mark is one and two eighths and has one data point. The tenth tick mark is one and three-eighths and has two data points. The eleventh tick mark is one and four eighths and has no data points. The twelfth tick mark is one and five-eighths and has no data points. The thirteenth tick mark is one and six eighths and has two data points. The fourteenth tick mark is one and seven eighths and has one data point.

three and four-eighths inches
three and five-eighths inches
four and seven-eighths inches
three and seven-eighths inches

Answers

Answer:

three and four-eighths inches

Step-by-step explanation:

Given :

Tick 1 = 2/8 (1 data point)

Tick 2 = 3/8 (3 data points)

Tick 3 = 4/8 (2 data points)

Tick 4 = 5/8 (no points)

Tick 5 = 6/8 (2 data points)

Tick 6 = 7/8 (no data points)

Tick 2 = 3/8 (3 data points)

....

Tick 13 = 1 6/8 (2 data points)

Hence, total length of all meteors that are 1 6/8 inches :

Length of meteor = 1 6/8

Number of meteors = 2

(2 * 1 6/8) = 2 * 14/8 = 28/8 = 3 4/8 = 3 1/2

Answer:

three and four-eights inches

Step-by-step explanation:

Will mark brainliest to whoever helps!

Answers

Answer is A I believe

Sam buys
2 boxes of eggs costing £1.30 each
1 bottle of juice costing £2.60
3 baguettes
He pays with a £10 note and gets a 90p change.
Sam works out the cost of one baguette as £1.70

Is he correct?

You must show your working out.

Answers

Answer:

He is wrong

Step-by-step explanation:

£1.30(cost of 1 egg box) x 2=£2.60

2.60(2 egg boxes)+2.60(price of juice)=£5.20(amount spent without baguettes)

10-5.20(amount spent without baguettes)=£4.80

4.80/3=£1.60

£1.60=cost of one baguette

Sam is wrong as the cost of one baguette is £1.60

Find the AC
47in
14in
26in
7in

Answers

Answer: need more of an explanation

Step-by-step explanation:

Answer:

26 in.

Step-by-step explanation:

Since angles A and C are congruent, sides BC and BA are congruent.

7x - 13 = x + 29

6x = 42

x = 7

AC = 3x + 5

AC = 3(7) + 5

AC = 21 + 5

AC = 26

Answer: 26 in.

A bug ran along the number line from -5 to 23. What distance did it cover? If the whole run took the bug 4 minutes, what was its average speed?

Answers

Answer:

28 units and 7 units per minute.

Step-by-step explanation:

So if it's a negative number like -5 with a positive number, you have to add.

It would be like ( 5 + 23 ) = 28.

Since it took the bug 4 minutes, divide 28 ÷ 4.

28 ÷ 4 is 7 units per minute.

Sorry if it's wrong...

Help please as soon as possible please and thank you :)

Answers

Answer:

A=[tex]\pi[/tex]r²

A=[tex]\pi[/tex]100

A=314.159

2 slices = 1/4

1/4x314.159=78.5399 centimters squared.

Paragraph:

    Firstly, the question has an error.  It says that the personal pan pizza is 80 cm³.  It should be cm², since it’s area and not volume. You have to figure out the area of the 20 inch pizza using A=[tex]\pi[/tex]r².  Since the diameter is 20, the radius is 10, and the area ends up being 314.159.  Two slices is 1/4 of the diameter, or 0.25.  Multiply 314.159x0.25, and. You get 78.5399 square centimeters.  This is just under the 80 that he is allowing himself, so he has made the correct choice.

Step-by-step explanation:

A=[tex]\pi[/tex]r²

A=[tex]\pi[/tex]100

A=314.159

2 slices = 1/4

1/4x314.159=78.5399 centimters squared.

Paragraph:

    Firstly, the question has an error.  It says that the personal pan pizza is 80 cm³.  It should be cm², since it’s area and not volume. You have to figure out the area of the 20 inch pizza using A=[tex]\pi[/tex]r².  Since the diameter is 20, the radius is 10, and the area ends up being 314.159.  Two slices is 1/4 of the diameter, or 0.25.  Multiply 314.159x0.25, and. You get 78.5399 square centimeters.  This is just under the 80 that he is allowing himself, so he has made the correct choice.

Old Navy charges $30 for 4 t-shirts and $45 two pairs of pants. If Unique’s mom orders 9 t-shirts and 6 pairs of pants, how much will Unique’s mom spend?

Answers

divide the 30 from the 4 and you will get 7.5 and then divide the 45 from the 2 and you will get 22.5 and then times 7.5 by 9 and then you will get 67.5 and then do the same with the 22.5 with the 6 and then add them up and you will get 202.5

Find the measurement of angle X

A) 91°
C) 1360
B) 1050
D) 100°

Answers

Answer:

I think its B or C

Step-by-step explanation:

Please help I’m struggling

Answers

Answer:

y=3x+19

Step-by-step explanation:

x=3

(-4,7)(x,y)

y-7/x_-4=3

y-7=3(x+4)

y=3x+12+7

y=3x+19

Step-by-step explanation:

here you have the answer

x3+43-12x2+x30 (x-6) (x+2)


solve it.

Answers

The answer would be 94
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