What's the length of an arc with a central angle of 100° and a radius of 2 inches?

Answer: D

f(x) domain: x ≥ 0

f–1(x) range: y ≥ 0

Step-by-step explanation:

Following are the calculation to the domain restriction:

Given:

[tex]f(x)=x^2+3\\\\f(x)\\\\f^{-1} (x)[/tex]

To Find:

domain restriction=?

Solution:

[tex]\to f(x)\ domain: x \geq 0\\\\\to f^{-1}(x) \ range: y \geq 0[/tex]

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Hi my lil bunny!

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Integer Part: 4

Fractional Part: 377

To round 4.377 to the nearest hundredth means to round the numbers so you only have two digits in the fractional part. Use the rule (B) "If the last digit in the fractional part of 4.377 is 5 or more and the second digit in the fractional part is less than 9, then add 1 to the second digit of the fractional part and remove the third digit." With 4.377, rule B applies and 4.377 rounded to the nearest hundredth is: 4.38

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●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer:

LM = 1.5

LN = 3

Step-by-step explanation:

From the question given:

M is the midpoint of LN

LM = 3x

LN= 2x + 2

LM =.?

Next, we shall determine the value of x. This is illustrated below:

Since M is the midpoint of LN, it means that when we divide LN by 2 the result will be LM i.e

LN /2 = LM

With the above formula, we can obtain the value of x as follow:

LN= 2x + 2

LM = 3x

x =..?

LN /2 = LM

2x + 2/ 2 = 3x

Cross multiply

2 × 3x = 2x + 2

6x = 2x + 2

Collect like terms

6x - 2x = 2

4x = 2

Divide both side by 4

x = 2/4

x = 0.5

Finally, we can obtain LM and LN as follow:

LM = 3x

x = 0.5

LM = 3 × 0.5

LM = 1.5

LN= 2x + 2

x = 0.5

LN = 2(0.5) + 2

LN = 1 + 2

LN = 3

Answer:

It is a transmission from formal to informal knowledge and skill from either a different or the same generation.

Answer:

The  value is  [tex]\% c = 5\%[/tex]

Step-by-step explanation:

From the question we are told that

  The mass of salt is  [tex]m_s = 30 \ g[/tex]

    The  mass of the solution is  [tex]m_S = 600 \ s[/tex]

Generally the concentration is  mathematically represented as

         [tex]\% c = \frac{30}{600} * 100[/tex]

          [tex]\% c = 5\%[/tex]

Answer:

2d + 4 = 12

Step-by-step explanation:

d = # of daisies

d+4 = # of roses

The total number of flowers is 12, so:

d + d+4 = 12

2d + 4 = 12

its 46.

42+8/2

42+4

=46

Answer:

5^6

Step-by-step explanation:

(5^3)^2

We know that a^b^c = a^(b*c)

5^(3*2)

5^6

Answer:

5⁶

Step-by-step explanation:

[tex]x^{a^{b} } =[/tex] xᵃᵇ

on this case:

[tex]5^{3^{2} }[/tex] = 5⁽³⁾⁽²⁾ = 5⁶

Answer:

33

Step-by-step explanation:

Substitute f(-3) in the problem and you'll get f(-3) = -x³ + x² + x.

Substitute the given value into the function and evaluate.

Answer:

33.

Step-by-step explanation:

f(x) = -x³ + x² + x.

f(-3) = -(-3)³ + (-3)² + (-3)

= -(-27) + (9) - 3

= 27 + 9 - 3

= 36 - 3

= 33.

Hope this helps!

Answer:

Point W

Step-by-step explanation:

Just trusssss me

The intersection of line m and line n is described by point W.

Intersecting lines are those lines that meet or cross each other in a plane. On the other hand, when two or more lines do not meet at any point, they are called non-intersecting lines.

When two or more lines meet at a common point, they are known as intersecting lines. The point at which they cross each other is known as the point of intersection. Observe the following figure which shows two intersecting lines 'a' and 'b' and the point of intersection 'O'.

As, given that

Line m intersects line n at point W.

So, where the line meets should be a intersecting point.

Hence, W is the intersecting point.

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Answer:

cos θ = -5/13

Step-by-step explanation:

sin θ = -12/13

Use Pythagorean identity.

sin²θ + cos²θ = 1

(-12/13)² + cos²θ = 1

144/169 + cos²θ = 1

cos²θ = 25/169

cos θ = ±5/13

θ is in the 3rd quadrant, so cos θ < 0.

cos θ = -5/13

Answer:

14

Step-by-step explanation:

Divide the number of laps by the number of swimmers for one of the rows. I did 108/9. You can double check by doing a second row. I did it wrong the first time sorry. That’s why you double check

Answer:

12

Step-by-step explanation:

240/20 = 12

216/18 = 12

168/14 = 12

108/9 = 12

then:

the constant of proporcionality is:

12

Complete question:

Some sources report that the weights of​ full-term newborn babies in a certain town have a mean of 9 pounds and a standard deviation of 0.6 pounds and are normally distributed.

Answer: 0.7497

Step-by-step explanation:

Mean = 9

sd = 0.6

n = 4

P(4 babies will be between 8.4 and 9.6 pounds)

P(8.4 ≤ X ≤ 9.6)

Standard error of the sample (S. E) :

S. E = sd/√n

= 0.6 /√4

= 0.6/2

= 0.3

P(8.4 ≤ X ≤ 9.6)= ((P(8.4 - 9) / 0.3) ≤ X ≤ (9.6 - 9)/0.3)

P(8.4 ≤ X ≤ 9.6) = P(-2 ≤ X ≤ 2)

P(Z ≤ 2) - P(Z < - 2)

0.9772 - 0.2275 = 0.7497

The probability will be "0.7497".

Given:

Mean,

Standard deviation,

Number of babies,

The standard error of sample will be:

→ [tex]S.E. = \frac{sd}{\sqrt{n} }[/tex]

          [tex]= \frac{0.6}{\sqrt{4} }[/tex]

          [tex]= \frac{0.6}{2}[/tex]

          [tex]= 0.3[/tex]

hence,

→ P(4 babies will be between 8.4 - 9.6 pounds)

[tex]P(8.4 \leq X \leq 9.6) = (\frac{(8.4-9)}{0.3} \leq X \leq \frac{(9.6-9)}{0.3} )[/tex]

                            [tex]= P(-2 \leq X \leq 2)[/tex]

                            [tex]= P(Z \leq 2) - P(Z \leq -2)[/tex]

                            [tex]= 0.9772-0.2275[/tex]

                            [tex]= 0.7497[/tex]

Thus the above response is right.  

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Answer:

44

Step-by-step explanation:

For any real number x, if x > 0 then |x| = x, otherwise, if x < 0 then |x| = -x. In this case, x = -44 which is less than 0, therefore, |-44| = -(-44) = 44.

Answer:

It would be 44

Step-by-step explanation:

Because it takes 44 units to get to the positive number 44

Answer:

f(x)=-8sin(pi/6x)+2

Step-by-step explanation:

The graph of a sinusoidal function intersects its midline at (0,2) and then has a minimum point at (3,-6) So, the function is f(x) = -8sin(pi/6x)+2.

The sinusoidal function has the following form:

[tex]y = x_0 + A\: sin(w.x+\theta)[/tex]

Where:

A= Amplitude

w = Angular frequency

[tex]x_0[/tex] = Independent component of the midpoint value

[tex]\theta[/tex] = Phase angle

Amplitude is the absolute value of the difference between a dependent component of the midline and the absolute minimum

A = |-6 - 2|

A = 8

[tex]x_0[/tex] = 2

The angular frequency of the function is now determined by substituting all remaining variables and clearing it within the sinusoidal function

[tex]w.x + \theta = \pi / 6[/tex]

The sinusoidal function

f(x) = -8sin(pi/6x)+2

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Answer:

s =2

Step-by-step explanation:

__3s__   = __6__

    3                3

s = 2

Hi there! Hopefully this helps!

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[tex]6 = 3s[/tex]

Divide both sides by 3.

[tex]\frac{6}{3} = s[/tex]

Divide 6 by 3 to get 2.

[tex]2 = s[/tex]

Swap sides so that all variable terms are on the left hand side.

[tex]s = 2[/tex]

Answer:

  {1, 2, 4, 5, 6, 8, 10, 11, 12, 14, 15, 16, 19, 20, 23, 24, 25, 27, 28, 29, 31, 32, 33, 35, 36, 37, 39, 40, 41, 43, 44, 47, 48, 51, 52, 55, 56, 59, 60, 64, 68, 72, 74, 76, 78, 80, 82, 86, 90, 94, 98}

Step-by-step explanation:

The total number of pushups Bucky does is the sum sequence of scores in the game. The values in that sequence depend on the order of the goal types.

For example, consider a 2-goal game. Possible sequences of scores are ...

  3, 6  (9 pushups)

  3, 10  (13 pushups)

  7, 10  (17 pushups)

  7, 14  (21 pushups)

You can see that for a 1- or 2-goal game, the number of pushups cannot be any of ... 1, 2, 4, 5, 6, 8, 10, 11, 12, 14, 15, 16.

The list above is all of the numbers less than 100 that are numbers of pushups Bucky will never do in any game in which the goal values are either 3 or 7.

__

Any game with 8 goals or more will have numbers of pushups more than 100.

Answer:

  2.48×10^13 miles

Step-by-step explanation:

There are about (365.25 days)(86400 seconds/day) = 31,557,600 seconds in one year. There are 1609.344 meters in one mile. So, the conversion can be written as ...

  (4.22 ly) (3×10^8 m/s) (3.15576×10^7 s/yr) / (1.609344×10^3 m/mi)

  = 4.22×3×3.15576/1.609344×10^(8+7-3) mi

  ≈ 24.8×10^12 mi

4.22 light years is about 2.48×10^13 miles

Answer:

37  r10                  

explanation                                              

   0 3 7

2 3   L 8 6 1

 − 0    

   8 6  

 − 6 9  

   1 7 1

 − 1 6 1

     1 0

Answer:

the simple multiplier is equal to 4

Step-by-step explanation:

Given that:

Y=  C + I + G + (X - M)

the average expenditure Y must be equal  to the totality of the output

If C = 3 + 0.75Y  

here;

the  marginal propensity  consumed MPC = 0.75

Then,

Y = 3 + 0.75Y + 2 + 1

Y = 6+0.75 Y

Y - 0.75 Y = 6

0.25 Y = 6

Y = 6/0.25

Y = 24

However,  the simple multiplier can be expressed as:

[tex]= \dfrac{1}{1-MPC}[/tex]

[tex]= \dfrac{1}{1-0.75}[/tex]

= [tex]\dfrac{1}{0.25}[/tex]

= 4

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Dividend paid (D) = $2

Growth rate (g) = 4% per annum = 0.04

Expected Dividend in each of the next 3 years :

1st year : $2 * 1.04 = $2.08

2nd year : $2.08 * 1.04 = $2.16

3rd year: $2.16 * 1.04 = 2.2464 = $2.25

B) If the discount rate for the stock is 12 percent, at what price will the stock sell?

Discount rate (r) = 12% = 0.12

Price of stock = Dividend / (r - g)

Price of stock = 2 / (0.12 - 0.04)

Price = 2 / 0.08 = $25

c. What is the expected stock price 3 years from now?

(2.25 * 1.04) / 0.08

2.34 / 0.08 = $29.25

D) If you buy the stock and plan to hold it for 3 years, what payments will you receive? What is the present value of those payments?

Dividend to be received from year 1 to 3

2.08, 2.16, 2.25

Stock price in 3rd year = 29.25

Present value :

(29.25/1.12^3) + (2.25/1.12^3) + (2.16/1.12^2) + (2.08 / 1.12^1) = 26.00

For year 1 :

D = 2.08

Stock price = 2.16/0.08 = 27

Present value (PV) = (27/1.12) + (2.08/1.12) = 25.96

Year 2 :

D = 2.16

Stock price = 2.25/0.08 = 28.125

cashflow = (2.16 + 28.125) = 30.285

PV = (28.125/1.12^2) + (2.16/1.12^2) + (2.08/1.12^1) = 26.00

Year 3:

D = 2.25

STOCK PRICE = 29.25

Total Cashflow = (2.25 + 29.25) = 31.5

PV = (31.5/1.12^3) + (2.25/1.12^3) + (2.16/1.12^2) + (2.08/1.12^1) = $27.60

Answer: C, 16

Step-by-step explanation:

6n - 2 when n = 3

Replace n with 3

1. 6(3) -2

2. 6(3) =18

3.18-2 = 16

Answer is 16.

Answer: C: 16

Step-by-step explanation: 6*3 =18. 18-2=16

Answer:

29 years

Step-by-step explanation:

A = P (1 + r)^t

where A is the final amount,

P is the initial amount,

r is the annual interest rate,

and t is the number of years.

17,000 = 11,000 (1 + 0.015)^t

1.545 = 1.015^t

log 1.545 = t log 1.015

t ≈ 29

Answer:

Only May

1.09 Statistical Graphs 1_Optional Quiz

A graph is a way to represent a lot of data in such a visual format. The month in which the average daily cost is less than $2.00 is may only.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

In order to know the month in which the average daily cost is less than $2.00, we need to find the dot which is below 2.

Now, if we look at the graph as shown below, the point that will be less than 2 is may.

Hence, the month in which the average daily cost is less than $2.00 is may only.

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Answer:

Plot the point at the minimum of the graph.

Step-by-step explanation:

If you keep moving the graph down, pick the point with the lowest y value that is still on the blue.

Answer: they use 2 cups of pineapple juice for every cup of orange juice

Answer:

24.93

Step-by-step explanation:

Rounding to two decimal places is the same as rounding to the nearest hundredth.

Locate the hundredth:

24.927

Check the number to the right of it:

24.927

If the number is greater than or equal to 5, then we round up. If the number is less than or equal to 4, we round down.

7 is greater than 5. So, we round up.

24.927 ≈ 24.93

2.94 is the answer.

The first digit after the decimal represents the tenth place. the subsequent digit after the decimal represents the hundredth area. The closing digits retain to fill within the vicinity values till there are no digits left.

Rounding a decimal quantity to two decimal locations is the same as rounding it to the hundredth place, that's the second area to the right of the decimal factor. as an instance, 2.83620364 may be spherical to two decimal locations as 2.94, and 0.7035 can be spherical to 2 decimal places as zero.70.

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Answer:

Following are the answer to this question:

Step-by-step explanation:

In-state 0, it has urns of the 100% chance of shifting towards state 1 because a colored ball must be substituted.  

In the [tex]state 1: \frac{1 \ white}{2 \ black} \ \ \ and \ \ \frac{2 \ white}{1 \ black}[/tex]

The probability to select White from both the probability to select Black from both are 2/9, therefore there are 4/9 possibilities to remain in State 1.  

It is probable which white from both the beginning is selected and black from the second, so that 1/9 probability of 0.  

The probability is 4/9 that the first black and the second white will be chosen and 4/9 possibility will be made to state 2.

In the [tex]state 2: \frac{2 \ white}{1 \ black} \ \ \ and \ \ \frac{1 \ white}{2 \ black}[/tex]

This is essentially a state 1 mirror image because identical claims are used for reverse colors.  

In-State 3, the urns are 100% likely to revert to State 2.  

It is the representation of matrix M is, therefore:

[tex]( ..0. ..1. ..0. ..0. )\\\\( \frac{1}{9} \frac{4}{9} \frac{4}{9}.. 0. )\\\\( ..0. \ \frac{4}{9} \ \frac{4}{9} \ \frac{1}{9})\\\\( ..0. ..0. ..1. ..0. )\\\\So, \\ X_n = M \times X_{n}-1 \\\\Or\\X_n = M^n \times X_0[/tex]