The restaurant at the top of a very tall building in Seattle rotates 1.02 revolutions every hour. Chelsea sits 21.9 m from the center of the restaurant near a window.
1. Through how many radians does Karen turn in 101 minutes?
2. How far does Karen move in 101 minutes?

Answer:

x = 200 students

y = 300 non-students

hope that helps

Answer:

Proved all parts below.

Step-by-step explanation:

As given ,

|x| = [tex]\left \{ {{x , x\geq 0} \atop {-x, x< 0}} \right.[/tex]

To prove- a) For any real number x , | x | ≥ 0 . Moreover, | x | = 0 ⇒ x = 0

                 b) For any two real numbers x and y , | x | ⋅ | y | = | x y | .

                 c) For any two real numbers x and y , | x + y | ≤ | x | + | y | .

Proof -

a)

As given x is a real number

Also , by definition of absolute value of x , we get

| x | ≥ 0

Now,

if |x| = 0

⇒ x = 0 and -x = 0

⇒ x = 0 and x = 0

⇒ x = 0

∴ we get

| x | = 0 ⇒  x = 0

Hence proved.

b)

To prove - | x | ⋅ | y | = | x y |

As we have,

|x| = [tex]\left \{ {{x , x\geq 0} \atop {-x, x< 0}} \right.[/tex]

|y| = [tex]\left \{ {{y , y\geq 0} \atop {-y, y< 0}} \right.[/tex]

|xy| = [tex]\left \{ {{xy , x,y > 0 and x,y < 0} \atop {-xy, x > 0, y< 0 and x <0 , y > 0}} \right.[/tex]

We have 4 cases : i)  when x > 0 , y > 0

                              ii) when x > 0 , y < 0

                              iii) when x < 0, y > 0

                              iv) when x < 0, y < 0

For Case I - when x > 0 , y > 0

⇒ |x| = x, |y| = y

⇒|x|.|y| = xy

For Case Ii - when x > 0 , y < 0

⇒ |x| = x, |y| = -y

⇒|x|.|y| = -xy

For Case Iii - when x < 0 , y > 0

⇒ |x| = -x, |y| = y

⇒|x|.|y| = -xy

For Case IV - when x < 0 , y < 0

⇒ |x| = -x, |y| = -y

⇒|x|.|y| = (-x)(-y) = xy

∴ we get , from all 4 cases

| x | ⋅ | y | = | x y |

Hence Proved.

c)

To prove - | x + y | ≤ | x | + | y |

Let

|x| = |x + y - y|

    ≥ |x + y| - |y|     ( Triangle inequality)

⇒ |x| + |y| ≥ |x + y|

Hence Proved.

9/3. 5/14 hope that's the right awnser

0.36.  i just had this question and got it right. :)

Answer:

angle JKL is 21

Step-by-step explanation:

the angle of the two triangles are the same, so (2x + 1) = (3x - 9)

You would then find the x, which equals to 10.

Then replace x with ten with the equation.

Answer:

0.55 > 0.525

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.55=0.550

0.550>0.525

so 0.55>0.525

Answer:

Hi! sorry bout the other guy he did the same thing to me ive been reporting all his answers and im sorry because it sucks anyways i hink its 80

Step-by-step explanation:

Answer:

After 10 years, the population of the town will be of 5905.

After 50 years, the population of the town will be of 11487.

Step-by-step explanation:

The population of the town after x years is given by the following equation:

[tex]P(x) = 5000(1.181)^{0.1x}[/tex]

After 10 years, the population of the town will be of:

This is P(10). So

[tex]P(10) = 5000(1.181)^{0.1*10} = 5000(1.181)^1 = 5905[/tex]

After 10 years, the population of the town will be of 5905.

After 50 years, the population of the town will be of:

This is P(50). So

[tex]P(50) = 5000(1.181)^{0.1*50} = 5000(1.181)^5 = 11487[/tex]

After 50 years, the population of the town will be of 11487.

The value of the tangent of angle α will be 35/12. Then the correct option is B.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The triangle ΔABC is given below.

Then the value of tan α will be

tan α = 35 / 12

Then the correct option is B.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ1

Answer:

Your missing a number and your answer is 12

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

b. - 1/4

Step-by-step explanation:

Start at the point highest on the line(3,4). Subtract the x value of the second point, from the x value of the first point.(3-7) Then do the same with the y values.(4-3) This gives you x=-4and y= 1. Slope= y/x, so you get -1/4

What was the answer

Answer:D

Step-by-step explanation:

Answer:

3g + 8 = T

Step-by-step explanation:

3g + 8 = T because since Deanna estimates 3 slices for each guest, you would times the # of guests by 3, which is 3g. Then you would add 8 because Deanna will need extra 8 slices for the unexpected guests. This equation would tell you how many slices Deanna needs in total.

Hope this helps :D

Answer:

whats the subject? science?

Step-by-step explanation:

Answer:

B and E are indeed correct

Answer:

15%

5%

24%

40%

32%

80%

32%

54%

60%

66%

9%

89%

Step-by-step explanation:

Solution :

Days :              0           1        2         3         4          5        6         7

Probability : 0.68     0.05   0.07   0.08   0.05    0.04   0.01    0.02

This is a valid probability distribution.

In the question it is given that call for a response of Y for short of a sample of people aged between 19 years to 25 years.

Also the event that describes the value of call for response greater than 3 i.e. (Y < 3) is a randomly chosen people between the age 19 to 25 years old who has gone to fitness center or did exercise fewer than 3 days.

Valid probability models add up to 1

The probability is a valid probability model

The probability model is given as:

Days :              0           1        2         3         4          5        6         7

Probability : 0.68     0.05   0.07   0.08   0.05    0.04   0.01    0.02

To determine if the model is a valid probability model, or not

We make use of:

[tex]\mathbf{\sum P(x) = 1}[/tex]

So, we have:

[tex]\mathbf{0.68 + 0.05 + 0.07 + 0.08 + 0.05 + 0.04 + 0.01 + 0.02 = 1}[/tex]

Add the probabilities

[tex]\mathbf{ 1= 1}[/tex]

The above equations shows that:[tex]\mathbf{\sum P(x) = 1}[/tex]

Hence, the probability is a valid probability model

Read more about probability models at:

https://brainly.com/question/9965602

[tex]16 - 3 \times 5 {}^{2} \div 5[/tex]

[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{1} [/tex]

[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{ - 1} [/tex]

[tex]16 - 3 \times 5 {}^{2 - 1} [/tex]

[tex]16 - 3 \times 5 {}^{1} [/tex]

[tex]16 - 3 \times 5[/tex]

[tex]16 - 15[/tex]

[tex]1[/tex]

HopeItHelps you

#CarryOnLearning

Answer:

%18 tip

Step-by-step explanation:

The dinner cost was $29 before tip

after tip it was $32.22

34.22-29= $5.22  she tipped

$29 * %x = $5.22

After solving this equation, the x is %18

Answer: P(4) - 4/12,1/3,33%,0.33

Step-by-step explanation:

My teacher went over the answers

Answer:

a)  f(5) = 24

b) The inverse of given function

              f⁻¹ ( x ) = √x+1

c)    f⁻¹ ( 8 ) = √9 =3

Step-by-step explanation:

Explanation:-

Given  f(x) = x² - 1

a)

      f(5) = 5² -1 = 25-1 =24

b)      

put y =  f(x) = x² - 1

   ⇒   y =  x² - 1

 ⇒     x² = y + 1

⇒     x = √y+1

⇒ f⁻¹ ( y ) = √y+1      ( ∵ f⁻¹ ( y) =x)

The inverse of given function

              f⁻¹ ( x ) = √x+1

c)   put x=8

             f⁻¹ ( 8 ) = √8+1 = √9 =3

Answer:

1/6 of the tomatoes

Step-by-step explanation:

So first, after she uses 5/9 she has 1 - 5/9 = 4/9 of her tomatoes left. Then, she uses 5/8 of that 4/9 to make a salad, so she used 5/8 * 4/9 = 5/18 of her tomatoes overall.  That means that she has 4/9 - 5/18 = 8/18 - 5/18 = 3/18 = 1/6 of her tomatoes saved.

Answer:

2 and 21/32

Step-by-step explanation:

Answer:

-3/4

Step-by-step explanation:

-1 1/4 = -5/4

1/2 = 2/4

-5 + 2 = -3

-3/4

Answer: The answer is -3/4

Step-by-step explanation: covert the mixed numbers to improper fractions, then find the LCD and combine.

Answer: The answer is -19.5

Step-by-step explanation: This is because 1/2 is .5 in decimal form. A negative PLUS a positive = is negative since the -20 is larger than .5

Answer:

the answer would be -19.5 :)

Step-by-step explanation:

Answer:

double number line diagram below. 5 Number of Hours Loaves of Bread 175 At Bakery bake in 8 hours? A. 35 loaves B. 240 loaves

Step-by-step explanation:

Answer:

Equation of straight line that passes through (-4, 2) and has slope 9/2 is

[tex]y-2=\frac{9}{2} (x+4)[/tex]

Step-by-step explanation:

Equation of straight line in point slope form is given as

[tex]y-y_1=m(x-x_1)[/tex] ---------(2)

Here

[tex]m = \frac {9}{2}[/tex]   and  [tex](x_1, y_1) = (-4, 2)[/tex]

Substituting values in equation (1)

[tex]y-2=\frac{9}{2} (x+4)[/tex]

Step-by-step explanation:

25x² + 100 = 0

25(x² + 4) = 0

x² + 4 = 0

x² = -4

Since x² >= 0 for all real values of x, there is no real solution for x. However there are complex solutions.

=> x = ±√-4

=> x = 2i or x = -2i.