Can someone explain what the answer is to this and how? Thank u!!!

One revolution is completed when a fixed point on the wheel travels a distance equal to the circumference of the wheel, which is 2π (13 cm) = 26π cm.

So we have

1 rev = 26π cm

1 rev = 2π rad

1 min = 60 s

(a) The angular velocity of the wheel is

(35 rev/min) * (2π rad/rev) * (1/60 min/s) = 7π/6 rad/s

or approximately 3.665 rad/s.

(b) The linear velocity is

(35 rev/min) * (26π cm/rev) * (1/60 min/s) = 91π/6 cm/s

or roughly 47.648 cm/s.

The angular velocity of the wheel is 3.665 radians/sec.

The linear velocity is the hamster running is 47.648 cm/sec.

A hamster running in a wheel of radius 13 cm spins the wheel at 35 revolutions per minute.

Angular Velocity It is defined as the rate of change in angular displacement of a particle in a circular motion.

The angular velocity of the wheel is given by;

[tex]\rm 1 \revolution = 2\pi \ radians\\\\Angular \ velocity = 35 \times 2\pi \ radians \ per \ minute\\\\Angular\ velocity = 70\pi \ radians \ per\ minute\\\\1 \ min = 60\ second\\\\Angular \ velocity = 70\pi \times \dfrac{1}{60} \\\rm \\Angular \ velocity = \dfrac{7}{6} \times 3.14 \ radians \ per \ second\\\\Angular \ velocity = 3.65\ radians \ per \ second\\\\[/tex]

The angular velocity of the wheel is 3.665 radians/sec.

Linear velocity definition deals with the measurement of an object’s velocity when it moves along a specific direction.

The linear velocity is the hamster running is given by;

[tex]\rm Linear \ velocity = 35 \times 26\pi \times \dfrac{1}{60}\\\\Linear \ velocity = 35 \times 26 \times 3.14 \times \dfrac{1}{60}\\\\ Linear \ velocity =47.648 \ cm \ per \ second[/tex]

The linear velocity is the hamster running is 47.648 cm/sec.

To know more about Angular velocity click the link given below.

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Answer:

-1

Step-by-step explanation:

Answer:

1 My dearest friend :D :)

Step-by-step explanation:

Kate will need 3/8 cup of sugar.

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now it is given that,

Cups of sugar needed for a recipe= 3/4

Now Kate only wants to make half of the recipe

Cups of sugar needed for a half of the recipe = Cups of sugar needed for a recipe / 2

⇒ Cups of sugar needed for a half of the recipe = 3/4 ÷ 2

⇒ Cups of sugar needed for a half of the recipe = 3/8

Thus, Kate will need 3/8 cup of sugar.

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Answer:

The slope of the line is 0 (there is no change in the y-axis)

Step-by-step explanation:

Here, we want to find the slope of the line that passes through the given points

We use a formula for this;

Mathematically;

m = y2-y1/x2-x1

Substituting the values;

m= (3.5-7/2)/3.5+4.5 = 0/8 = 0

The slope of the line is 0

Answer:

A.  RS, ST, RT, TS , SR TR

Step-by-step explanation:

Answer:

x=0

x=-1

x=-5

Step-by-step explanation:

To find the roots, we set the equation equal to zero and factor.

x(x²+6x+5)=0           [factor]

x(x+1)(x+5)=0            [set each factor equal to 0]

x=0

x+1=0                       [subtract both sides by 1]

x=-1

x+5=0                      [subtract both sides by 5]

x=-5

Now, we have found three roots, x=0, x=-1, x=-5.

Answer:

1020

Step-by-step explanation:

Answer:

B(4, -5)

Step-by-step explanation:

A(-8, 7)

M(-2, 1)

B(x, y)

x-coordinate:

(-8 + x)/2 = -2

-8 + x = -4

x = 4

y-coordinate:

(7 + y)/2 = 1

7 + y = 2

y = -5

B(4, -5)

Answer:

first ans is (1, 2)

second ans is also same

Answer:

see below

Step-by-step explanation:

Assuming that

Point A is the same as point X

Point B is Point Y

Point C is Point Z

So we have

[tex]X=(1,5)\\\\Y=(2,2)\\\\Z=(6,1)[/tex]

the rule for a rotation of 180° is

For 180 degrees, the rule is (a, b) --------> (-a, -b)

so we have

[tex]X'=(-1,-5)\\\\Y'=(-2,-2)\\\\Z'=(6,1)[/tex]

the rule for reflection across the x axis

(a,b)----->(a,-b)

so we have

[tex]X''=(1,-5)\\\\Y''=(2,-2)\\\\Z''=(6,-1)[/tex]

Answer:

Okay! I'll go help! (◠‿◕)

Answer:

1000 grams

Step-by-step explanation:

The symbol "kg" represents 1,000 grams in the metric system.

A system of measurements is called the metric system. It is employed in calculations and research across the globe. Here are some instances of measurements made with the metric system:

The unit used to measure lengths and distances is the meter. In daily life, we use this unit to measure things like the length of a piece of clothing, the distance from school to home, etc.

You may have noticed that the bag of your favorite food has a weight listed on it. 250 grams of potato chips, The unit of weight used here is the gram.

We know 1 kilogram is equal to 1×1000 grams.

Therefore, The symbol "kg" represents  1,000 grams in the metric system.

Similarly to convert gram to kg we have to divide by 100.

learn more about the metric system here :

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Answer:

Option (A)

Step-by-step explanation:

Let the equation of the linear function representing number of party guests (c) and total cost (p) is in the form of c = mp + b

m = Slope of the line

b = y-intercept

Choose the two ordered pairs from the table (3, 274) and (7, 306).

Slope of the function 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{306-274}{7-3}[/tex]

m = 8

Since, equation of a line passing through (x', y') and slope m is,

y - y' = m(x - x')

Therefore, equation of a line passing through (3, 274) and slope = 8,

y - 274 = 8(x - 3)

y - 274 = 8x - 24

y = 8x + 274 - 24

y = 8x + 250

Since, y = p and x = c

Therefore, p = 8c + 250 will be the equation.

Option (A) is the answer.

Answer:ok

Step-by-step explanation: the answer is A

Answer:

A, B, and C

Step-by-step explanation:

Very simple math. I learned this in second grade.

Answer:

g=34/11 0r g = 3.09 (approx)

Step-by-step explanation:

1/2g + 32 = 6g + 15

=> 32-15 = 6g-1/2g

=> 17 = 11/2g

=> 34/11 = g

or

g = 3.09 (approx.)

Answer:

[tex]2yz^2\sqrt[3]{z^2x^2}[/tex]

Step-by-step explanation:

3

hope that´s correct

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The given points are T(3,1) and U(5,3)

The x coordinates of these given points are 3 and 5. Add them up to get 3+5 = 8. Then cut this in half getting 8/2 = 4. This is the x coordinate of the midpoint.

The y coordinates are 1 and 3. They add to 1+3 = 4. Then that cuts in half to get 4/2 = 2. This is the y coordinate of the midpoint.

The midpoint is (4,2)

Effectively, we just used the midpoint formula

[tex](x_m, y_m) = \left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right)[/tex]

In short: add the corresponding coordinates, then divide by 2.

Answer:

The closest answer is 12.

Step-by-step explanation:

Since 12 multiplied by 35 is 420, it is the closest answer. 16.5 seconds is too much. 335 seconds is WAY too much to reach 407 meters. 8.15 seconds is too little. It is at least half of how much you want it to move.

Answer:

[tex]4^2[/tex]

Step-by-step explanation:

[tex]\frac{4^7}{4^5}=4^{7-5}=4^2[/tex]

Answer:

The maximum number of text messages you can send per month would be 41.

Step-by-step explanation:

1. First, you want to create an inequality from the word problem.  You know that $24.99 is a constant, so we won't put any variables next to it.  You also know that each text message is $0.12, so that would need a variable since it can change each month.  You also know that you can spend $30 maximum each month, so that goes on the other side of the inequality.  Your inequality will look like this:  0.12x+24.99≤30 (x is the number of text messages).

2. Second, you want to solve for x.  To do this, subtract 24.99 from each side.  After this, the equation is 0.12x≤5.01

3. Now, divide each side by 0.12.  Now your inequality is x≤41.75.  This represents how many text messages you can send per month without going over 30.

4. Finally, you have to realize that is impossible to send exactly 41.75 text messages.  So, you have to round down to 41 to get an even number of text messages, and that's your answer!

Hope this helps!  Feel free to ask any questions :)

Answer:

41 text messages

Step-by-step explanation:

Answer:

A single value in a domain corresponding to multiple values in a range does not mean a relation is a function.

Step-by-step explanation:

there is no step by step because this is just simple math

Answer:

Positive

Step-by-step explanation:

-7+28=21

21 is positive

Answer:

Positive

Step-by-step explanation:

-7 + 28 = 21

Answer:the answer is

$2.7

Step-by-step explanation:

Answer: The answer is 2 dollars and 70 cents

Step-by-step explanation: if you add 6.15 and 6.15 it equals 12.30 and then if you subtract 15.00 and 12.30 it equals 2.70

Answer:

Step-by-step explanation:

1=26

4=32

5=74

6=49

7=77

8=101

9=85

Sorry if any of them are wrong! and that I didn't get the other 2

Answer:

7

Step-by-step explanation: