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Anton [14]
2 years ago
14

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?
Mathematics
2 answers:
Kamila [148]2 years ago
5 0

One revolution also corresponds to an angular displacement of 2π rad.

So, the angular velocity is

120 rev/min = (120 rev/min) * (2π rad/rev) = 240π rad/min

Gelneren [198K]2 years ago
5 0

Answer:

753.98 rad/min

Step-by-step explanation:

on edge, it asks for you to round to the nearest hundredth, causing me to assume that you need to multiply 240(pi)

the whole answer is 753.9822369, but it asks for you to round.

You might be interested in
What is the greatest possible percent error in calculating the volume of a box measured to the nearest inch with sides of 5 in.,
Mashutka [201]
The answer is 20 percent
7 0
2 years ago
Read 2 more answers
The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)? g(x)
Verdich [7]

Answer:

g(x)=(x+7)^2-3

Step-by-step explanation:

Given:

f(x)= x^2

Now we have to translate f(x) 7 units to the left and 3 units down to form the function g(x).

As per the rules of translation

when any parent function, in given case f(x)=x^2, is translated to 'a' units to the left then 'a' is added to the value of x. thus making f(x+a)

Also when the parent function is translated any 'a' units down then 'a' is subtracted from the value of function. thus making f(x)-a

Translating f(x), 7 units to the left

f(x+7)= (x+7)^2

Translating f(x+7), 3 units down

f(x+7)-3 = (x+7)^2-3

Hence new function g(x)=(x+7)^2-3!

7 0
2 years ago
Rachel, Adam, Michelle, Hannah, and James are going to the movies. They have $65 to spend on tickets and snacks. Each movie tick
Ann [662]

Answer:

1. By substitution property of inequality

5(9.5)+4.5\leq65

2. By using multiplication  in equality then we get

47.5+4.5x\leq65

3. The five friends will have 3 snacks to split.

Step-by-step explanation:

Given

Five friends have total money= $65

Cost of each movie ticket= $9.50

Cost of each snack item= $4.50

Let ,five friends have total snacks = x

Total movie tickets=5

Because total number of friends=5

The inequality expressionis given by

I Step: 5(9.5)+4.5x\leq 65

Reason: By using substitution property of inequality

47.5+4.5x\leq 65[/tex2. Step :[tex]4.5x[tex]\leq65-47.5[/tex]

4.5x\leq 17.5  ( by subtarction 47.5  from both sides)

x\leq \frac{17.5}{4.5}   ( by dividing 4.5 on both sides )

<h3>x\leq 3.889  (by simplication)</h3><h3>x=3</h3>

Because they can buy maximum 3 snacks .

Beacause the number of snacks is natural number so we can't take in rational numbers.

<h3>Hence, the five friends will have 3 snacks to split.</h3>

6 0
2 years ago
Read 2 more answers
Tim wants to purchase a watch for $98.99. He has a coupon that will discount the watch by 10%. If sales tax is 7.5%, what will T
PtichkaEL [24]

Answer:

$95.77

Step-by-step explanation:

We are told that Tim wants to purchase a watch for $98.99.

He has a coupon that will discount the watch by 10%. So price of watch after using coupon will be,

\text{Price of watch after discount}=98.99-(98.99*\frac{10}{100})

\text{Price of watch after discount}=98.99-(98.99*0.10)

\text{Price of watch after discount}=98.99-9.899=89.091

Now let us find the price of watch after sales tax of 7.5%.

\text{Price of watch after sales tax}=89.091+(89.091*\frac{7.5}{100})

\text{Price of watch after sales tax}=89.091+(89.091*0.075)

\text{Price of watch after sales tax}=89.091+6.681825

\text{Price of watch after sales tax}=95.772825\approx 95.77

Therefore, Tim will pay $95.77 at the register.

7 0
2 years ago
In each represent the common form of each argument using letters to stand for component sentences, and fill in the blanks so tha
arlik [135]

Answer:

a

           a \to b

         \neg b

         \neg a

b

If  <u>all prime numbers are odd,</u> then <u>2 is  odd</u>.

2 is not odd.

Therefore, it is not the case that all prime numbers are odd.

Step-by-step explanation:

Considering part A

 The  first sentence is  

If all computer programs contain errors, then this program contains an error.

   The second sentence is

This program does not contain an error.

     The third  sentence is

Therefore, it is not the case that all computer programs contain errors.

Now we will use  a and  b  as the letter to denote the component sentences and   \neg a  and \neg b when the component sentences is not the case

So  a =  If all computer programs contain errors

and  

     b =  this program contains an error.

Generally then is represented as \to

Hence the first sentence is denoted as  

         a \to b

The  second sentence is represented as

            \neg b

The  third sentence is represented as

           \neg a

So part a can be represented as

      a \to b

         \neg b

         \neg a

Considering part B

Here the objective is to fill in the blank spaces so that the logic of the sentence in part b is as that in part a

    Now comparing the second statement  a and  b

                "This program does not contain an error" = "2 is not odd" = \neg b

Hence      "this program contains an error." =  "2 is  odd" =  b

     Now comparing the third  statement  a and  b

Therefore, it is not the case that all computer programs contain errors.  

                                                =

     Therefore, it is not the case that all prime numbers are odd  

                                                =

                                                \neg a

Hence

If all computer programs contain errors, = if all prime numbers are odd.= a                

             

             

3 0
2 years ago
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