The propeller blades on a submarine have a radius of 6 feet. At full speed, they turn at 120 revolutions per minute. What is the angular velocity, in radians per minute, at the tip of the blade? Round your answer to the nearest hundredth.

Answers

Answer 1

Using proportions, it is found that the angular velocity at the tip of the blade is of 753.98 radians per minute.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Each revolution has [tex]2\pi[/tex] radians, hence in one minute, the 120 revolutions will have a measure in radians of:

M = 120 x 2pi = 240pi = 753.98

Hence the angular velocity is of 753.98 radians per minute.

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Related Questions

A customer who sees a pair of boots online but then decides to buy the same pair at Macy's after trying them on would be best classified as a(n)

Answers

The term used to describe a customer who sees a pair of boots online but then decides to buy the same pair at Macy's after trying them on would be best classified as a cross-channel shopper.

Who is a cross-channel shopper?

A cross-channel shopper is a consumer who uses various combination of both several channels for the same purchase.

The customer has checked the pair of boots online but rather purchased the same boots at Macy's instead of purchasing online.

Therefore, a cross-channel shopper uses different purchasing channel to purchase a product.

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How many different 4 digit numbers can be formed using only digits 1,2,3 and 4 given that they contain each of these digits as many times as you want?

Answers

The number of different 4 digit numbers that can be formed using only digits 1,2,3 and 4 if they are repeated is; 256 possible numbers

How to find the probability combination?

Since the numbers can be used as many times as we want, then it means they can be repeated.

Thus, if we are looking at the number of 4 digit numbers we can create using the numbers 1, 2, 3, and 4, we can calculate that the following way:

For each digit (thousands, hundreds, tens, ones), we have 4 possible choices of numbers. And so we can create;

4 × 4 × 4 × 4 = 256 numbers

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The probability of winning on an arcade game is 0.568. If you play the arcade game 22 times, what is the probability of winning more than 15 times

Answers

The probability of winning 15 out of the 22 games is [tex]P = 0.099[/tex]

what is the probability of winning more than 15 times?

We know that the probability of winning on the arcade game is 0.568.

Then the probability of losing is:

P = 1 - 0.568 = 0.432

The probability of winning 15 out of 22 games is given by the equation:

[tex]P = C(22, 15)*(0.568)^{15}*(0.432)^{7}[/tex]

Where C(22, 15) is the number of combinations of 15 elements that we can make with a set of 22 elements, given by:

[tex]C(22, 15) = \frac{22!}{(22 - 15)!*15!} = \frac{22!}{7!*15!} = \frac{22*21*20*19*18*17*16}{7*6*5*4*3*2*1} = 170,544[/tex]

Then the probability is:

[tex]P = 170,544*(0.568)^{15}*(0.432)^7 = 0.099[/tex]

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A Delivery service charges $25 per pound for making a delivery. If there is an additional 8% sales tax, what is the cost of delivering an item that weighs 4/5 of a pound?

Answers

The cost of delivering an item that weighs 4/5 of a pound?$21.60.  

How to find the delivery cost?

Let x = the number of pounds

Thus, we can say that;

Cost = 25x * 1.08

Since we want to find the cost of delivering an item that weighs 4/5 of a pound, the we will put 4/5 for x to get;

Cost = (25 * 4/5) * 1.08

Cost = 20 * 1.08

Cost = 21.6

The delivery cost would be $21.60.  

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Please help!!! due today. Find the surface area of the triangular prism.

Answers

The surface area of the shape is 168 square cm

Surface area of triangular prism

The surface area of a figure is the area of the faces of the given figure.

For the given figure, the area will be the sum of area of 2 triangles and 3 rectangles.

Area = (6*3) +(10*6)+(6+10) +(10*3)

Surface area = 18 + 120 + 30

Surface area = 168 square cm

Hence the surface area of the shape is 168 square cm

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A prism has volume 100cm^3 and length 8cm. If the cross-section is an equilateral triangle, find the length of a side of the triangle.

Answers

Answer:

5.373 cm

Step-by-step explanation:

Divide the volume by the length to find the area of the equilateral triangle

100/8 = 12.5

Area of equilateral triangle = sqrt(3) / 4  *  s^2   = 12.5

   s^2 = 12.5 *4  / sqrt3

    s = 5.373 cm

     

Solve for m
-7+4m+10=15-2m−7+4m+10=15−2mminus, 7, plus, 4, m, plus, 10, equals, 15, minus, 2, m
m=

Answers

The value of m based on the given equation -7 + 4m + 10 = 15 - 2m is 2

Algebra

-7 + 4m + 10 = 15 - 2m

collect like terms

4m + 2m = 15 + 7 - 10

6m = 12

divide both sides by 6

m = 12/6

m = 2

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A researcher records the hospital admission rates for coronary heart disease at 10 local hospitals. She finds that 2 different hospitals had the highest overall rates of hospital admissions. Which measure of central tendency did this researcher use to describe these data

Answers

The central tendency researcher use to describe these data is "mode".

What is mode?

The value that appears most frequently in a data set is called the mode. One mode, several modes, or none at all may be present in a set of data. The mean, or average of a set, and the median, or middle value in a set, are two more common measurements of central tendency.

Calculation of mode is done by-

The number that appears the most frequently in a piece of data is its mode. Put the numbers in ascending order by least to greatest, then count the occurrences of each number to quickly determine the mode. The most frequent number is the mode.Simply counting how many times each number appears in the data set can help you identify the mode, which is the number that appears the most frequently in the data set. The figure with the largest total is the mode.Example: Since it happens most frequently, the mode for the data set [5, 7, 8, 2, 1, 5, 6, 7, 5] is 5.

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Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. The success of the procedure depends on various biomechanical properties of the human nasal periosteum and fascia. An article reported that for a sample of 20 (newly deceased) adults, the mean failure strain (%) was 26.0, and the standard deviation was 3.4. (a) Assuming a normal distribution for failure strain, estimate true average strain in a way that conveys information about precision and reliability. (Use a 95% confidence interval. Round your answers to two decimal places.)

Answers

The true average strain in a way that conveys information about precision and reliability is 27.314.

Given that sample size is 20, mean is 26%, standard deviation is 3.4, confidence level is 95%.

We have to calculate the true average strain in a way that conveys information about precision and reliability.

We have to use t test in our problem because sample size is less than 30.

Weknow that,

t=x bar-μ/s[tex]\sqrt{n}[/tex]

where μ is sample mean,

s is sample standard deviation.

Degree of freedom=n-1

=20-1

=19

T value at 95% confidence interval=1.7281

put the values in the formula of t given above.

1.7291=x bar-26/3.4/[tex]\sqrt{20}[/tex]

1.7291=xbar-26/3.4/4.47

1.7291= x bar-26/0.76

1.7291*0.76=x bar-26

1.314=x bar-26

x bar=26+1.314

x bar=27.314

After rounding it will be 27.31

Hence the true average strain in a way that conveys information about precision and reliability is 27.31%.

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In the figure, is the perpendicular bisector of .

Prove:

A line CD is a perpendicular bisector of another line AB. A triangle is drawn by the points of A, B, and C.
Complete the proof.

Answers

CD is the perpendicular bisector of another line AB which can be proven below.

What is perpendicular bisector?

Perpendicular bisector is a line that divides another line into two equal halves in such a way that it creates an angel of 90°.

To proof that CD is the perpendicular bisector of another line AB the following is carried out;

Draw a line segment AB with length of about 5 cm.

With any radius greater than 2.5 cm, and compass fixed at A, draw 2 arcs, one above and one below AB.

With the same radius, compass at B, cut the 2 arcs drawn in step 2.

The line joining these two arcs is the perpendicular bisector of AB.

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Answer:

heres what i got

Step-by-step explanation:

2.  definition of a perpendicular bisector

5. reflexive property of congruence

11. definition of square root

__________ 11A. In Circle O, it is given that m∠A = 20°.

Find m∠B.

Answers

Answer:

70 degrees.

Step-by-step explanation:

As AB is a diameter M < C = 90 degrees.

Therefore m < B = 90 - 20 = 70.

Choose the equation for the graph.

A. Y=|x/2|-5
B. Y=2|x|+5
C. Y=2|x|-5
D. Y=|x/2|+5
E. Y= |x/5|-2

Answers

The correct equation of the given graph is; Option A: y = |x/2| - 5

How to find the equation of a graph?

From the given graph, we can see the following coordinates;

At x = 0, y = -5

At x = 1, y = -4.5

At x = -1, y = -4.5

At x = 2, y = -4

At x = -2, y = -4

Since the y-intercept is at y = -5, looking at the given options, the only one that is correct will be;

y = |x/2| - 5

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Which equation is equivalent to the given equation?
−4x = x² + 3
x² - 4x +3=0
x² - 4x - 3=0
x² + 4x - 3=0
x² + 4x +3=0

Answers

Answer: x² + 4x +3=0

Step-by-step explanation:

Add 4x to both sides.

If the hypotenuse has a length 7√2, then both legs have a length
Of what

Answers

Answer:

7

Step-by-step explanation:

this is probably a 45-45-90 triangle if its both legs

The volume of a cone is 37x³ cubic units and its height is x units.
Which expression represents the radius of the cone's base, in units?
O 3x
0 6x
о 3лх2
0 90х2

Answers

Answer: 6x

Step-by-step explanation:

The  expression represents the radius of the cone's base is √111/π x = r

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The formula for the volume of a cone is V = (1/3)πr²h, where V is the volume,

r is the radius of the base,

h is the height, and π is a constant approximately equal to 3.14.

We are given that the volume of the cone is 37x³ cubic units and the height is x units.

Using the formula for the volume of a cone, we can write:

37x³ = (1/3)πr²x

37x² = πr²/3

37×3 x²/π = r²

111x²/π  = r²

Take square root on both sides

√111/π x = r

Hence, the  expression represents the radius of the cone's base is √111/π x = r

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Arnold paid R2 599,99 for a car sound system in 1997 Assuming an average inflation rate of 7% per annum what did he pay for a sound system with the equivalent value in 2014

Answers

The value of the car in 2014 is 154709

How to determine the value?

The given parameters are:

Initial, a = 599,99

Rate, r = 7%

The value of the car in t years is

Value = a * (1 + r)^t

This gives

Value = 59999 * (1 + 7%)^t

2014 is 17 years from 1997.

So, we have:

Value = 59999 * (1 + 7%)^14

Evaluate

Value = 154709

Hence, the value of the car in 2014 is 154709

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HELP?? A lunch combo has the following options: Entree: Hamburger, Hotdog, Chicken sandwich Side: Apples, Salad Drink: Milk, Water What is the sample size of these outcomes?

Answers

Using the Fundamental Counting Theorem, the sample size of these outcomes is of 12.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

Considering the number of options for Entree, Side and Drink, the parameters are:

n1 = 3, n2 = 2, n3 = 2.

Hence the sample size of outcomes is:

N = 3 x 2 x 2 = 12.

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Abe raises sheep. In his flock, there are 42 males and 56 females. What is the ratio of males to females in simplest form? ​

Answers

Answer:

3:4

Step-by-step explanation:

It's males to females. so we make 42:56 simplify that we get 3:4

Which expressions represent rational numbers? Check all that apply

Answers

The expressions that represent rational numbers are; √64 + 6/11, √16 + √169 and 17.43 + √49.

What are the rational expressions?

A rational number is simply any integer, terminating decimal/repeating decimal or fraction.

1) √6 + √9 = √6 + 3Not rational

2) √64 + 6/11 = 94/11Rational number

3) √36 + √21 = 6 + √21Not rational

4) √16 + √169 = 17Rational number

5) 17.4343434343434343 + √49 = 24.43434343 Rational number

6) √44 + √25 = 2√11 + 5 Not rational

Therefore, the expressions that represent rational numbers are; √64 + 6/11, √16 + √169 and 17.43 + √49.

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Which function describes this graph?

Answers

zeros: x=-3 x=-6factors: x+3 x+6

[tex]f(x) = (x + 3)(x + 6) \\ f(x) = x {}^{2} + 6x + 3x + 18 \\ f(x) = x {}^{2} + 9x + 18[/tex]

Option C

Answer:

C.) y = x² + 9x + 18

Step-by-step explanation:

C.) is correct because the function has the accurate x-intercepts. X-intercepts are the x-values in which the line passes through the x-axis. We can prove this by setting the function equal to 0, factoring, then solving for "x". You can factor the function by asking yourself the question, "which two numbers multiply to 18 and add to 9?"

y = x² + 9x + 18                             <----- Original function

0 =  x² + 9x + 18                           <----- Set the function equal to 0

0 = (x + 6)(x + 3)                           <----- Factor

0 = x + 6             0 = x + 3

-6 = x                  -3 = x

So, at (-3, 0) and (-6, 0), the function crosses the x-axis. This matches the given graph.

HI! Ok so I specifically am having an issue solving this problem? I keep coming back to 2.32 when im solving it myself and when i've asked for help its also 2.32, 2.3 rounded to be exact but the issue is my program wont accept that?
Am I solving it right or is the program im using just bugging out on me.

Answers

maybe try using the 2 and dropping the decimal

-2(3x+2)-6x≥
-4What are the solutions of the inequality?

Answers

The solution of the inequality -2(3x + 2) - 6x ≥ -4 is undefined

Inequality

-2(3x + 2) - 6x ≥ -4

open the parenthesis

-6x - 4 - 6x ≥ -4

-12x ≥ - 4 + 4

-12x ≥ 0

x ≥ 0 / -12

x is undefined

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please help me solve this ​

Answers

Explanation:

The proof can be had by making use of the AAS congruence postulate (twice) and CPCTC.

We start by showing ΔPQY≅ΔPRX, then by showing ΔXQN≅ΔYRN. The proof is then a result of CPCTC.

Proof

1. PQ≅PR, ∠Q≅∠R . . . . given

2. ∠P≅∠P . . . . reflexive property of congruence

3. ΔPQY≅ΔPRX . . . . AAS congruence postulate

4. PX≅PY . . . . CPCTC

5. PX+XQ=PQ, PY+YR=PR . . . . segment sum theorem

6. PX+XQ = PY +YR . . . . substitution property

7. PX +XQ = PX +YR . . . . substitution property

8. XQ = YR . . . . subtraction property of equality

9. ∠XNQ≅∠YNR . . . . vertical angles are congruent

10. ΔXNQ≅ΔYNR . . . . AAS congruence postulate

11. XN ≅ YN . . . . CPCTC

__

Additional comment

You probably did steps 1-3 in part (a) of the problem.

The number 21 is the sum of two consecutive integers 10 and 11. What is the largest number of positive, consecutive integers whose sum is 21

Answers

Answer:

11

Step-by-step explanation:

How many ms in a second?

Answers

1000. its making me type more stuff

Using the table below, find the mean and median of the set of data.
Note: Round all numbers to the nearest tenth

Answers

The mean of the data set is 81.6.

The median of the data set is 80.

What is mean?

The mean is the average of a data set. Therefore,

Mean = (70 x 2 + 75 x 8 + 80 x 6 + 85 x 3 + 90 x 9) / 28 = 81.6.

Hence,

mean = 81.6

What is a median?

Median is a statistical measure that determines the middle value of a dataset listed in ascending order .

Therefore,

28 / 2 = 14

median = 80 + 80 / 2 = 160 / 2 = 80

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Find RS.
A. 12
B. 5
C. 10
D. 9

Answers

Answer:

5

Step-by-step explanation:

(2x - 6) + 1 + (x - 4) = 18

3x - 9 = 18

3x = 27

x = 9


RS = x - 4 = 9 - 4 = 5

Answer:

B. 5

Step-by-step explanation:


Pls mark brainiest if helpful!!

PQ + QR + RS = 18

This statement is equivalent to the following:

(2x - 6) + 1 + (x - 4) = 18.

This is because we substitute the line segments with their values.

Now that we have an equation to work with, we will solve it. We start by removing the parenthesis as they are not necessary here.

2x - 6 + 1 + x - 4 = 18

Next, we will make it, so x is alone on the left. We will do this by adding 6 and 4 to both sides

2x - 6 (+6) + 1 + x - 4 (+4) = 18 (+6) (+4)


After doing this we are left with the following equation:

2x + 1 + x = 28

Now we will subtract 1 from both sides to make x alone of the left side of the equation.

2x + 1 (-1) + x = 28 (-1)

After we solve this, we get the following:

2x + x = 27

We can add 2x and x and get 3x because 2 + 1 = 3.

3x = 27

We now simplify this equation by dividing both sides by 3.

[tex]\frac{3x}{3}[/tex] = [tex]\frac{27}{3}[/tex]

We again simplify the equation to the following:

x = 9

BUT THATS NOT THE ANSWER!

Now that we know what x is, we can solve for the value of RS.

We input 9 for x in the equation x - 4.

When we do this, we get 9 - 4 which is 5.

And this is our final answer!!


I hope I could help! Have an amazing day and good luck on your homework!

"You can't predict the future, but you can create it"
            -Juliana Palazzolo, 2022

Pls mark brainiest if helpful!!


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20 points, help me, please !!!!!

Answers

(a) |-9| + 6 = 9 + 6 = 15

(b) |-9 + 6| = |-3| = 3

What is the image of (-4,-4) after a dilation by a scale factor of 2 centered at the origin?

Answers

Answer:

multiply x and y coordinates by 2 since its a whole number dilation (make bigger basically) ... (-8,6)

Step-by-step explanation:

How can a right triangular cross-section be created from a right triangle ?

Answers

Answer:

in a triangle prism each cross section parallel to the triangular base is a triangle congruent to the base

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