The adjusted trial balance columns of the worksheet for Whispering Winds Company are as follows.

Answer:

0 m/s

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

This problem in scientific notation would be 9.3 * 10^10.

Answer:

2.5 pi

Step-by-step explanation:

Comment

If you were trying to get the area of a whole circle, you would use

Area = pi r^2

You have to modify the formula to show that just part of the circle has an area that you are interested in.

The new formula is

Area = (theta/360) pi r^2

Givens

r = 30 cm

theta = 100

Solution

Area = (100 / 360) * pi * r^2       Substitute the givens into this formula

Area = (5 / 18) * pi * 3^2              Expand

Area = (5 / 18) * pi * 9                  Cancel 9 into 18

Area = 5/2 * pi

Area = 2.5 * pi

By critically observing the vertical bar chart, only the month of May had a birth of just over 10%.

A bar chart refers to a type of chart that is used for the graphical representation of a data set, especially by using rectangular bars or vertical columns.

Based on the vertical bar chart (see attachment), the relative frequency (&) with the birth of over 10% are:

However, only the month of May had a birth of just over 10%.

Read more on bar chart here: brainly.com/question/24741444

#SPJ1

Answer:

y= 5x+165

Step-by-step explanation:

the slope is 5, so five per day, plus the y-intercept, or when x = 0

Brainliest pls

Answer:

A maybe?

Step-by-step explanation:

by looking at the graph you can see there are two points with one being at (0, 3) (given) and the other being at (1, 1) (by looking at the graph). You can use the slope formula (y2 - y1) / (x2 - x1) which gives you the slope.

Plug Values In:

(1-3) / (1-0) = -2/1 = -2

slope of f(x) = -2

slope of g(x) = -7 (slope-intercept form y=mx+b where m is the slope and b is the y-intercept)

I'm honestly not quite sure what it means by greater than since technically the slope of f(x) is greater than the slope of g(x) but does it mean how much it's changing by in which case the sign doesn't matter. Although I'm just going to assume it purely means the value in which case A is true.

Answer:

15

Step-by-step explanation:

so if its a 6 faced dice then there is a 3/6 numbers greater than 3. which simplifies to 1/2. 30(1/2)= 15

The graph of x >2 is attached below

Clearly, the graph of x> 2 could be area beyond 2 on positive X axis

What is graph?

The graph is a demonstration of curves  which gives the relationship between x and y axis.

The question seems to be incomplete, because options are missing.
so the option can be of several graphs.

Thus, The correct Graph of x >2 has been attached below.

Learn more about graphs here:
https://brainly.com/question/16608196

#SPJ1

Answer:

A. 15

Step-by-step explanation:

Hypotenuse = 22

Since the two angles other than the 90° are both

45° , it means that the two legs of the right triangle are of equal length.

So, (x)²+ (x)² = 22²

2x² = 22²

x² = 484/2

x² = 242

x = √242

x = 15.55

x ≈ 15

Answer:

t = - 6

Step-by-step explanation:

8t + 3(t + 4) = 6(t - 3) ← distribute parenthesis on both sides )

8t + 3t + 12 = 6t - 18 , that is

11t + 12 = 6t - 18 ( subtract 6t from both sides )

5t + 12 = - 18 ( subtract 12 from both sides )

5t = - 30 ( divide both sides by 5 )

t = - 6

The function that includes the given points of (0,−2),(5,13),(−2,−8),(4,10) is the second encircled option by the top right in the image attached.

Note that all function of  (0,−2),(5,13),(−2,−8),(4,10)  can be seen as all the brackets are placed in the form (X, Y), Y=P(x)

In the case above, how we arrived at the answer, you have to fill up the X's in the brackets using the X's in the Options.

Then since P(x) is the number one see in place of Y in the brackets, then that the top Right option is correct as it has −2.

Therefore, The function that includes the given points of (0,−2),(5,13),(−2,−8),(4,10) is the second encircled option by the top right in the image attached.

Learn more about function from

https://brainly.com/question/14218786

#SPJ1

Parent function

Now look the transformations

x is changed and shifted 6 units right

Then

Horizontally Streched with a factor of 5

Answer:

B)  The graph of k(x) is vertically stretched by a factor of 5 and shifted 6 units right.

Step-by-step explanation:

Translations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]

Given functions:

[tex]f(x) = x^2[/tex]

[tex]k(x) = 5(x - 6)^2[/tex]

Parent function:  [tex]f(x) = x^2[/tex]

Translated 6 units right:  [tex]f(x-6)=(x-6)^2[/tex]

Then stretched vertically by a factor of 5:   [tex]5f(x-6)=5(x-6)^2[/tex]

[tex]\implies 5f(x-6)=5(x-6)^2=k(x)[/tex]

Therefore, the graph of k(x) is vertically stretched by a factor of 5 and shifted 6 units right.

Learn more about translations here:

https://brainly.com/question/27845947

Answer:

The correct answers are A B D

Step-by-step explanation:

hope this helped!

Answer:

To determine the most suitable candidate we will calculate their total scores and see who's the best.

first for mr X

work experience = 70

score = work experience x wieght = 70 x 4 = 280

Entrance = 78

score = 78 x 3 = 234

Interview = 70

score = 70 x 4 = 210

total score = 280 + 234 + 280 = 794

for mr Y

Work experience = 89

score = 89 x 4 = 356

Entrance = 83

score = 83 x 3 = 249

Interview = 89

Score = 89 x 4 = 356

Total score = 356 + 249 + 356 = 961

for mr Z

work experience = 85

score = 85 x 4 = 340

Entrance = 89

Score = 89 x 3 = 267

Interview = 85

Score = 85 x 4 = 340

Total score = 340 + 267 + 340 = 947

So as we can see Mr Y has best score therefore I think he's the best for the job.

Explanation:

[tex]\sf Average \ Result : \dfrac{sum \ of \ value \ of \ scores}{sum \ of \ weight}[/tex]

Workout:

[tex]\sf For \ candidate \ X = \dfrac{70 \ \cdot \ 4 \ + 78 \ \cdot \ 3 \ + 70 \ \cdot \ 4 }{4 + 3 + 4} = 72.18 \ \ average \ score[/tex]

[tex]\sf For \ candidate \ Y = \dfrac{89 \ \cdot \ 4 \ + 83 \ \cdot \ 3 \ + 89 \ \cdot \ 4 }{4 + 3 + 4} = 87.36 \ \ average \ score[/tex]

[tex]\sf For \ candidate \ Z = \dfrac{85 \ \cdot \ 4 \ + 89 \ \cdot \ 3 \ + 85 \ \cdot \ 4 }{4 + 3 + 4} = 86.09 \ \ average \ score[/tex]

Conclusion:

Among all of them, candidate Y has the best average score of about 87.36 whereas candidate Z has second best score of 86.09 average score and candidate X has the least average score of 72.18.

Candidate Y is the appropriate candidate for this position on the criteria.

The answers for following questions are;

i. $244.64

ii. $ 5314.64

Future value (FV) is the value of a current asset at a future date based on an assumed rate of growth. The future value is important to investors and financial planners, as they use it to estimate how much an investment made today will be worth in the future.

Here, future value or amount;

          A = P(1 + r)ⁿ

Where,

A = future value = ?

P = principal = $ 12,300

r = interest rate = 6%/12 = 0.06/12 = 0.005

n = number of periods = 12 X 6 years = 72

A = P(1 + r)ⁿ

= 12,300(1 + 0.06/12)⁷²

= 12300 (1 + 0.005)⁷²

= 12300 (1.005)⁷²

= 12300 (1.4384)

= 17,614.64

Each monthly payment = Total payment / number of months

= $17,614.64 / 72

= $ 244.64

Total amount of interest = Total payment - Principal payment

                                          =   17,614.64 - 12300

                                          =   $ 5314.64

Thus, The answers for following questions are;

i. $244.64

ii. $ 5314.64

Learn more about Interest from:

https://brainly.com/question/13324776

#SPJ1

Answer:

Let x = number of half-page advertisements

Let y = number of full-page advertisements

[tex]\begin{cases} 42x + 86y = 1192\\ x + y = 20\end{cases}[/tex]

8 full-page advertisements

12 half-page advertisements

Step-by-step explanation:

Definition of variables

Let x = number of half-page advertisements

Let y = number of full-page advertisements

Given information:

Using the given information, we can write a system of equations:

Equation 1:  42x + 86y = 1192

Equation 2:   x + y = 20

To solve the system of equations, rearrange Equation 2 to make x the subject:

⇒ x = 20 - y

then substitute this into Equation 1 and solve for y:

⇒ 42(20 - y) + 86y = 1192

⇒ 840 - 42y + 86y = 1192

⇒ 840 + 44y = 1192

⇒ 44y = 352

⇒ y = 8

Substitute the found value of y into Equation 2 and solve for x:

⇒ x + 8 = 20

⇒ x = 12

Therefore, Kathryn purchased:

Answer:

2

Step-by-step explanation:

In asin(bx - c) + d, a is the amplitude. In this case, it's 2.

Brainliest, please :)

The answer for f.f (x) = 25 / 4x² and g.g(x)= 4x² -28x +49.

A function is a mathematical statement used to relate a dependent and an independent variable.

It is given that

f(x) = 5/2x

g(x) = 2x - 7

It is asked to found

f.f

g.g

f.f (x) = (5/2x) * (5/2x)

= 25 / 4x²

g.g(x)= ( 2x - 7)( 2x - 7)

= 4x² -28x +49

Both the answers are in its simplified form

Therefore the answer for f.f (x) = 25 / 4x² and g.g(x)= 4x² -28x +49.

To know more about Function

https://brainly.com/question/12431044

#SPJ1

Answer:

The Answer is [B]

Step-by-step explanation:
i actually dont have one

Answer:

∠MOP ≅ ∠NOQ

Step-by-step explanation:

Vertical Angle Theorem

When two straight lines intersect, they form two pairs of angles.  The vertically opposite (non-adjacent) angles are congruent.

Therefore:

∠MON ≅ POQ  and  ∠MOP ≅ ∠NOQ

Answer:

I think the answer is 7

don't blame me if I'm wrong

Answer:

359

Step-by-step explanation:

the prime factors of the numbers are

18 = 2×3×3

20 = 2×2×5

24 = 2×2×2×3

the lowest common multiple is therefore

2×2×2×3×3×5 = 360

the difference between the checked divisor numbers and the expected remainder is constantly 1 :

18 - 17 = 1

20 - 19 = 1

24 - 23 = 1

so, we can deduct this constant 1 from the LCM and get the desired number :

360 - 1 = 359

verify :

359 ÷ 18 = 19 remainder 17

359 ÷ 20 = 17 remainder 19

359 ÷ 24 = 14 remainder 23

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\texttt {\:Thomas's age = 44 years } [/tex]

[tex]\texttt {\:Hulian's age = 36 years } [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex] \textsf{Assume Thomas's age be ' x ' } [/tex]

[tex] \textsf{and that of Huilan's age be y } [/tex]

[tex] \texttt{we have two conditions :} [/tex]

[tex]\qquad \tt \rightarrow \:y = x + 8[/tex]

it can be simplified as : -

[tex]\qquad \tt \rightarrow \:y - x= 8 \: \: \: \: \: \: \: \: \: - (1)[/tex]

[tex] \texttt{Next condition } [/tex]

[tex]\qquad \tt \rightarrow \:x + y = 80 \: \: \: \: \: \: \: - (2)[/tex]

`` Add both equations ``

[tex]\qquad \tt \rightarrow \:y - x + x + y = 8 + 80[/tex]

[tex]\qquad \tt \rightarrow \:2y = 88[/tex]

[tex]\qquad \tt \rightarrow \:y = 44[/tex]

[tex] \large \textsf{For x :} [/tex]

[tex]\qquad \tt \rightarrow \:y - x = 8[/tex]

[tex]\qquad \tt \rightarrow \:44 - x = 8[/tex]

[tex]\qquad \tt \rightarrow \:x = 44 - 8[/tex]

[tex]\qquad \tt \rightarrow \:x = 36[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

[tex]\fbox {36 years old}[/tex]

Step-by-step explanation:

Let :

⇒ Age of Huilan = x

⇒ Age of Thomas = x - 8

Then :

⇒ x + x - 8 = 80

⇒ 2x = 88

⇒ x = 44

Thomas's age :

⇒ x - 8

⇒ 44 - 8

⇒ 36 years old

Answer:

56

Step-by-step explanation:

so 7 appetizers times 8 main courses

I do a easy trick where I multiple so

7×8=56

Answer:

x=50

Step-by-step explanation:

3x-5=145(vertically opposite angle)

3x=145+5

3x=150

x=150/3

x=50

DON'T FORGET TO WRITE DEGREE

Answer:

x = 50

Step-by-step explanation:

Vertically opposite angles are of equal measure.

3x - 5 = 145

3x = 145 + 5

3x = 150

x = 50

That's all i know, Hope it helps!

The mean will be 10.08 and the standard deviation will be 1.27.

The complete question is given below:-

The Mountain States Office of State Farm Insurance Company reports that approximately 84% of all automobile damage liability claims were made by people under 25 years of age. A random sample of twelve automobile insurance liability claims is under study.

Find the mean and standard deviation of this probability distribution.

For samples of size 12, what is the expected number of claims made by people under 25 years of age?

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

Given that:-

The mean will be calculated by the formula below:-

Mean = [tex]\mu[/tex] = np = 12 x 0.84 = 10.08

The standard deviation will be calculated as:-

Standard deviation = [tex]\sqrt{npq}[/tex] = [tex]\sqrt{12\times 0.84\times 0.16}[/tex] = 1.27

Therefore the mean will be 10.08 and the standard deviation will be 1.27.

To know more about mean follow

https://brainly.com/question/968894

#SPJ1

The range, the mean, and standard deviation are mathematically given as

Participants ranged in age from 4 to 26.24 ( M = 26.24 , SD = 8.04 ). Option D.

Given the data presented below the given

A look at the result shows that the lowest and highest values are between 1s and 58, with a mean and standard deviation of 26.10 and 8.90, respectively.

Participants' ages varied from 18 to 58 (m-26.14, std dev = 8.01), hence option (d) is accurate.

Read more about standard deviation

https://brainly.com/question/12402189

#SPJ1

Answer:

11

Step-by-step explanation:

for each full cup of sugar, you need 3 one-third measuring cups.

we have 3 full cups so 3×3=9

and another 2 for the 2/3, 9+2=11

so a total of 11 scoops

The dimensions of the garden with the largest area she can enclose are given by 24*14 square yards.

The area (A) of the rectangle with length L and Width W is given by,

A=L*W

The maximum of [tex]y=ax^2+bx[/tex] occurs at x = -b/2a

Let the length and width of the garden be L and W respectively.

Now let my friend use cedar fencing for one width and cheaper metal fencing for rest sides.

Rate of cedar fencing is $17/yard

Then she has to pay for cedar fencing = 17W

rate of cheaper metal fencing is $7/yard

Then she has to pay for metal fencing = 7W+7*2L = 7W+14L

Then according to condition,

17W+7W+14L = 672

24W+14L = 672

12W+7L = 336

7L = 336-12W

L = (336-12W)/7

Then the area of the rectangular garden is given by,

A = L*W

[tex]A=\frac{336-12W}{7}\times W\\A=-\frac{12}{7}W^2+48W[/tex]

So here a = -12/7 and b = 48

Then maximum of W occurs at,

W = -48/(2*(-12/7)) = (48*7)/(2*12) = 336/24 = 14

Then maximum width = 14 yards

then length (L) = (336-12*14)/7 = 168/7 = 24 yards

Hence the dimensions with the leargest area she can enclose is given by = 24 * 14 square yards.

Learn more about Dimensions here -

https://brainly.com/question/8760279

#SPJ10

Answer: B -60

Step-by-step explanation: When you plug in -60 into the equation it all equals out into -12 = -12, which is true. All of the other solutions don't work.

Answer:

B. x = -60

Step-by-step explanation:

8 + x/3 = 1/6 (x-6) - 1

Multiply both sides by 6.

48 + 2x = x - 6 - 6

x = -12 - 48

x = -60

Answer:

This is my answer↓:

Step-by-step explanation: