Reflecting y = – 3 sin x across the x-axis results in a function with equationQuestion 7 options:A) y = 3 sin x.B) y = – 3 sin (x + π).C) y = – 3 sin (x – π).D) y = – sin x.

9514 1404 393

Answer:

  C.  distance formula

Step-by-step explanation:

If you're starting from vertex coordinates, the distance formula is appropriate for finding the length of one side of a parallelogram. It will tell you the distance between two points:

  d = √((x2-x1)² +(y2-y1)²)

The sum of the interior angles of a regular polygon with 9 sides will be 1260°. The correct option is A.

An angle is defined in mathematics as the figure formed by joining two rays at their common endpoint. An interior angle is an angle that exists within a shape. Polygons are closed shapes with sides and vertices. All of the interior angles of a regular polygon are equal.

Given that the number of the sides of the polygon is 9. The sum of the interior angles of the polygons will be calculated as,

Sum = ( n - 2 ) 180°

Sum = ( 9 - 2 ) 180

Sum = 7 x 180

Sum = 1260°

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Answer:

15

Step-by-step explanation:

6x+3 = 7x-12

6x-7x=-12-3

-x= -15

x= 15

6x+3 = 7x-12

6x-7x=-12-3

-x= -15  from now on we know that x is now 15

so the answer is 15

The number of bananas is 90.

Let's assume the number of bananas is represented by 'B', the number of lychees is represented by 'L', and the number of mangos is represented by 'M'.

From the given information, we have the following equations:

B + L = 384  (equation 1)

B + M = 258  (equation 2)

M = (4/7) * L  (equation 3)

To solve for the number of bananas, we need to eliminate the variables 'L' and 'M' from the equations. We can do this by substituting equation 3 into equation 2:

B + (4/7) * L = 258

To simplify this equation, we can multiply through by 7:

7B + 4L = 1806  (equation 4)

Now we can solve equations 1 and 4 simultaneously. We can multiply equation 1 by 4 and equation 4 by -1 to eliminate 'L':

4B + 4L = 1536  (equation 5)

-7B - 4L = -1806  (equation 6)

Adding equations 5 and 6, we get:

-3B = -270

B = 90

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Here, we just need to add x and y and subtract it from 180.

x + y = 91 + 42 = 133.

180 - 133 = 47.

Hence, z = 47 degrees.

Answer:

Step-by-step explanation:

straight line = 180° we remove the angles x and y and find z

180 - 91 - 42 =

47°

The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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The required equations that have {6} as its solution set are equation (2)and (4).

The meaning of a equation is a numerical explanation that shows that two numerical articulations are equivalent. For example, 3x + 5 = 14 is a condition, wherein 3x + 5 and 14 are two articulations isolated by an 'equivalent' sign.

We have,

1)  43-4x = 3x - 1

7x = 44

x = 44/7

Not in the solution set.

2) x² +2=7x-4

x² - 7x +6 = 0

x² -6x -x + 6 = 0

x(x - 6)-1(x - 6) = 0

(x - 6)(x - 1) = 0

x = 6 or x = 1

It is in the solution set

3)  15-x=54

x = -39

Not in the solution set.

4) 8+3x = 6x - 10

3x = 18

x = 6

It is in the solution set

Thus, equation (2) and (4) have solution as {6}.

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Answer:

each taco costs $8 and each soda $4

Step-by-step explanation:

the difference between the two is $16 and half of $16 is $8 so you can tell each taco is $8. That automatically shows that the rest of the cost is $8 which half of is $4

The preparation of the requirements for Hibban Equipment Repair are as follows:

a - e: The journal entries and ledgers accounts are in the attached document, due to limit in the number of characters allowed.

f. Hibban Equipment Repair

As of November 30

Account Titles             Debit     Credit       Debit     Credit     Debit     Credit  

Cash                           $4,920                                                $4,920

Accounts Receivable  2,830                                                  2,830

Supplies                      2,500                                                  2,500

Equipment                 14,000                                                14,000

Accumulated Depreciation       $2,000                 $200                    $2,200

Accounts Payable                       2,600                                                 2,600

Unearned Service Revenue        1,800  $1,220                                      580

Salaries & Wages Payable                                       350                         350

Owners Capital                          13,950                                               13,950

Service Revenue                        5,300                 1,220                      6,520

Salaries Expense        1,000                       350                   1,350

Rent Expense                400                                                   400

Depreciation Expense                               200                     200

Totals                    $25,650  $25,650 $1,770 $1,770 $26,200  $26,200

g.  Hibban Equipment Repair

For the year ended November 30

Service Revenue                        $6,520

Salaries Expense        $1,350

Rent Expense                400

Depreciation Expense  200      $1,950

Net income                               $4,570

Hibban Equipment Repair

At November 30

Beginning Equity      $13,950

Net income                  4,570

Ending Equity        $18,520

Hibban Equipment Repair

At November 30

Cash                                             $4,920

Accounts Receivable                    2,830

Supplies                                        2,500

Equipment                                   14,000

Accumulated Depreciation        (2,200)

Total assets                             $22,050

Liabilities:

Accounts Payable                     $2,600

Unearned Service Revenue          580

Salaries & Wages Payable            350

Total liabilities                       $3,530

Equity:

Owners Equity                         $18,520

Total equity                            $22,050

Debit Income Summary $4,570

Credit Owners equity $4,570

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Answer:

-72

Step-by-step explanation:

substitue n and s

4(6)(-3)

24(-3)

-72

The Two sets, A and B, are said to be disjoint sets if A n B=ϕ

The Two sets, A and B, are said to be disjoint sets if A n B=ϕ

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The domain of the function f(x) = 1/4x + 3 is all real numbers except x = 0, since division by 0 is undefined.

The range of the function is all real numbers. For any real number x, f(x) = 1/4x + 3 will always produce a real number, so the range is (-infinity, +infinity).

Answer:

A)

Function A: Exponential

Function B: Linear

Function C: Exponential

Function D: Exponential

B) Function A

Step-by-step explanation:

Function A: This is exponential because- (1, 3)(2,9)(3,27)

It is not going up by the same number each time. However, it is multiplying by 3 each time which means it is exponential.

Function B: This is linear because- (1, 64)(1, 80)(1, 96)

It is going up by 16 each time, (a constant number) which means it is linear.

Function C: This is exponential because- there is a curve, linear is always a straight line. But, this has a curve which means it is exponential.

Function D: This is exponential because- It is increasing by a percentage and not a constant number. It is increasing by 1% which means it is exponential.

The function that has the greatest growth factor is Function A because, Function A multiplies by 3 each time. Function B is linear, exponential functions always pass linear functions despite how "steep" they are. Eventually, the exponential function will surpass it. Function C is also exponential but is not as "steep" as Function A. Function A multiplies by 3 each time but Function C increases less. Function D is also exponential, and for the same reasons as Function C, Function A has the greatest growth factor.

y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

The equation y= -2 -4x in the form of slope intercept form y=mx+b is y=-4x-2.

Where m represents the slope and y intercept is -2.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line.

The negative reciprocal of -4 is 1/4.

Therefore, the slope of the perpendicular line is 1/4.

The perpendicular line is y=1/4x-2.

We know that the parallel lines have same slope.

y=-4x+3

Hence, y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

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Answer:

Justin has 10 nickels and 5 dimes.

Step-by-step explanation:

Given that Justin has x nickels and y dimes, and he has a minimum of 15 coins worth at most $ 1 combined, to determine one possible solution the following calculation must be performed:

Nickel = 0.05

Dime = 0.10

15 x 0.05 + 0 x 0.1 = 0.75

14 x 0.05 + 1 x 0.1 = 0.80

13 x 0.05 + 2 x 0.1 = 0.85

12 x 0.05 + 3 x 0.1 = 0.90

11 x 0.05 + 4 x 0.1 = 0.95

10 x 0.05 + 5 x 0.1 = 1

So, Justin has 10 nickels and 5 dimes.

In statistics, a residual is defined as the difference between the predicted value of an outcome variable and the observed value of that variable. Residuals are used to evaluate how well a regression model fits the data.In order to calculate the residuals for a scatterplot, follow these steps:

Step 1: Plot the data on a scatterplot.

Step 2: Perform a regression analysis on the data to find the equation of the regression line. This equation should take the form y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.

Step 3: Using the equation of the regression line, calculate the predicted value of y for each data point in the scatterplot.

Step 4: Subtract each predicted value of y from the actual value of y for each data point in the scatterplot. This difference is the residual for that data point.

Step 5: Plot the residuals on a new scatterplot. The x-axis of this scatterplot should be the independent variable, and the y-axis should be the residual values.

Step6: This scatterplot is called a residual plot.Residuals are useful for identifying patterns in data that the regression model fails to capture. If the residuals are randomly scattered around the horizontal axis, then the regression model is a good fit for the data. If there are clear patterns in the residual plot, then the regression model may not be a good fit for the data and further analysis is required.

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Using the normal distribution, the area underneath the shaded region between the two z-scores is given by:

C. 0.6766.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

Hence, for this problem, the area is the p-value of z = 0.75 subtracted by the p-value of z = -1.3.

Looking at the z-table, the p-values are given as follows:

Then:

0.7734 - 0.0968 = 0.6766.

Which means that option C is correct.

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Answer:e. The sampling distribution of the difference in sample proportion is approximately normal.

Step-by-step explanation:

(200) (0.06) >= 10

(200) (0.94) >=10

(197)(0.086) >=10

(197)(0.914) >= 10

We test the sample proportions of it is normal :

Deer population 1:

Sample size, n1 = 200

Proportion, p1 = 0.06

q = 1 - p = 1 - 0.06 = 0.94

n1 * p = 200 * 0.06 = 12

n1 * q = 200 * 0.94 = 188

Deer population 2:

Sample size, n2 = 197

Proportion, p = 0.086

q = 1 - p = 1 - 0.086 = 0.914

n2 * p = 197 * 0.086 = 16.94

n2 * q = 197 * 0.914 = 180.06

Since for samples and proportions ;

n*p and nq ≥ 10 ;

We cm conclude that the sampling distribution of the difference in sample mean is appropriately normal.

The sampling distribution of the difference in sample proportions is approximately normal because samples and proportions are greater than or equal to 10.

Given :

For dear population 1, the sample size is 200 and proportion is 0.06.

\(\rm q_1 = 1-p_1=1-0.06=0.94\)

\(\rm n_1p_1=200\times 0.06=12\\\)

\(\rm n_1q_1=200\times 0.94 = 188\)

Now, for dear population 2, the sample size is 197 and the proportion is 0.086.

\(\rm q_2 = 1-p_2=1-0.086=0.914\)

\(\rm n_2p_2=197\times 0.086=16.94\)

\(\rm n_2q_2=197\times 0.914 = 180.06\)

Therefore, from the above calculations, it can be concluded that the sampling distribution of the difference in sample proportions is approximately normal because samples and proportions are greater than or equal to 10.

So, the correct option is e).

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Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

Step 1

Step-by-step explanation:

Yessenia should have distributed 3 to (x+4) as her first step.

her steps should have been as follows:

x+6+3(x+4)

x+6+3x+12

re write: x+3x+6+12

4x+18

An ordered pair such as (3,-1), is a shorthand way of writing two variables, such as x = 3 and y = -1. The order of the numbers in the pair is important: x always comes before y.

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.

It helps to locate a point on the Cartesian plane for better visual comprehension.

The numeric values in an ordered pair can be integers or fractions.

Ordered Pair = (x,y)

Where, x = abscissa, the distance measure of a point from the primary axis “x”

And, y = ordinate, the distance measure of a point from the secondary axis “y”

In the Cartesian plane, we define a two-dimensional space with two perpendicular reference lines, namely x-axis and y-axis. The point where the two lines meet at “0” is the origin.

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Answer:

Please read below

Step-by-step explanation:

If Salesman A had one sale he would earn $1,365 because he makes $65 dollars per sale plus a weekly commission of $1,300. Salesman B would make $340 because he makes $300 dollars weekly and $40 per sale. Salesman C would make $900 dollars, because he makes no commission and gets only weekly pay. Altogether, they would make $2,605.

I am sorry I am so late but here is the answer in case anyone needs it!

Answer:

B)no

Step-by-step explanation:

the correct solution is (3,12)

The integral of the greatest integer function ∫ [x]dx is equivalent to 0.

Given is to integrate the greatest integer function. We can write it as -

∫ [x]dx

We can expand the the integral as -

∫ [x]dx = \(\int\limits^0_b {x} \, dx +\int\limits^c_0 {x} \, dx\), where b = - ∞ and c = ∞

∫ [x]dx = \(\int\limits^0_b {x} \, dx +\int\limits^c_0 {x} \, dx\) =

- ∞ + ...... + (-5) + (-4) + (-3) + (-2) + (-1) + 0 + 1 + 2 + 3 + 4 + 5 + ..... + ∞

{ 1 + 2 + 3 + 4 + 5 + ..... + ∞ } + {- ∞ + ...... + (-5) + (-4) + (-3) + (-2) + (-1)}

{ 1 + 2 + 3 + 4 + 5 + ..... + ∞ } - {∞ + ...... + (5) + (4) + (3) + (2) + (1)}

{ 1 + 2 + 3 + 4 + 5 + ..... + ∞ } - {∞ + ...... + (5) + (4) + (3) + (2) + (1)}

{- 1/12 - (- 1/12)}                     {Ramanujan's infinite sum series}

-1/12 + 1/12

0

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Answer:

≈0.694 or rounded to 0.7

Step-by-step explanation:

4.06/5.85≈0.694

Step-by-step explanation:

Divergence Test: use this when the limit as n approaches infinity of a sequence isn't 0.

If lim(n→∞) an ≠ 0, then an diverges.

(Note this only tests divergence, not convergence.)

P Test: use this when the series is a p-series.

For an = 1 / nᵖ, if p > 1, then the series converges.  Otherwise, it diverges.

Geometric Test: use this when the series is a geometric series.

For an = a₁ (r)ⁿ, if -1 < r < 1, then the series converges.  Otherwise, it diverges.

Integral Test: use this when the sequence can be easily integrated.

If ∫₁°° f(x) dx converges, then ∑₁°° f(n) converges.

If ∫₁°° f(x) dx diverges, then ∑₁°° f(n) diverges.

Comparison Test: use this when a sequence is similar to a p-series or a geometric series.

If bn > an and bn converges, then an converges.

If bn < an and bn diverges, then an diverges.

Otherwise, inconclusive.

Limit Comparison Test: use this when comparison test is inconclusive.

If an ≥ 0 and bn > 0, and lim(n→∞) an/bn > 0 and finite, then an and bn either both converge or both diverge.

Alternating Series Test: use this when the series is alternating.  This usually includes (-1)ⁿ or (-1)ⁿ⁺¹, but might use trig functions instead.

If an = (-1)ⁿ bn or (-1)ⁿ⁺¹ bn, where bn ≥ 0, and if lim(n→∞) bn = 0, and bn is decreasing, then an converges.

(Notice this only tests for convergence, not divergence.)

The simplification of the given functions are

The given functions are-

f(x ) = (4 + x²)/(7 + x)

f(5) =  (4 + 5²)/(7 + 5)

f(5) =  (4 + 25)/12

f(5) =  29/12

g(x) = 6 + √(x + 18)

g(-2) = 6 + √(-2 + 18)

g(-2) = 6 + 4

g(-2) = 10

h(x) = |2/3*x  - 10|

h(9) = |2/3*9 - 10|

h(9) = |2*3 - 10|

h(9) = 4

Thus, the simplification of the given functions are obtained.

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Answer:

15. A

16. B

17. B

18. C

Step-by-step explanation: