WILL MARK BRAINLIEST!! function g is the result of these transformations on the parent sine function: •vertically stretch by a factor of 3 •horizontal shift left pi/2 units • vertical shift down 4 units. Substitute the values of A, C, and D to complete the equation modeling function g

Answers

Answer 1

By substituting the values of A, C, and D, the equation modelling the function is g(x) = 3·sin(x - π/2) - 4.

From the question, we have the following information;

The vertical distance of the sine function = 3 × The parent function

∴ A = 3

Given that the horizontal shift left = π/2 units (from an online source with a similar question)

The vertical shift down = 4 units

The given function g is g(x) = A·sin(x + C) + D

Where,

A is the amplitude = The maximum displacement from the rest or equilibrium position = 3

C is the horizontal shift = -π/2 (The negative sign is for the shifting to the left)

D is the vertical shift = -4 (The negative sign is for a shift in the downward direction)

Therefore, the equation modelling the function is g(x) = 3·sin(x - π/2) - 4.

--The given question is incomplete; the complete question is

"Enter the correct answer in the box. Function g is the result of these transformations on the parent sine function:

Vertical stretch by a factor of 3.

Horizontal shift left units.

vertical shift down 4 units.

Substitute the values of A, C, and D to complete the equation modelling function g. g(x) = Asin(x + C) + D."--

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Related Questions

when the data have the properties of interval data and the multiplication or division of two values is meaningful, the variable has which scale of measurement?

Answers

When the data have the properties of interval data and the multiplication or division of two values is meaningful, the variable has which scale of measurement is referred to as Ratio Scale.

Now, According to the question:

A scale of measurement can be defined as a classification which is used to illustrate the attributes of the values that are assigned to variables associated with a data set.

The scales of measurement.

Generally, there are four (4) basic scale of measurement for a variable and these include the following;

Interval scaleRatio scaleOrdinal scaleNominal scale

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Thannklkkkk you sooo much for the helppp

Answers

Answer:

33

Step-by-step explanation:

55/100×60

= 33pink blocks

(4×3)÷3[-15-5{6-8+2}]

Answers

Answer:

20

Step-by-step explanation:

=12÷3[-15-5{6-8+2}]

=12÷3[-15-5{6-10}]

=12÷3[-15-5-4]

=12÷3[20-4]

=12÷3+16

=4+16

=20

6(9−6)−23+4= I dont konw this

Answers

Answer:

-1

Step-by-step explanation:

[tex]\sf 6(9-6)-23+4[/tex]

[tex]\sf (6)(3)-23+4[/tex]

[tex]\sf 18-23+4[/tex]

[tex]\sf -5+4[/tex]

[tex]\sf -1[/tex]

Answer:

First you are to do what is in the parenthesis first:

9 - 6 = 3

The equation is now:

6 * 3 - 23 + 4

Then you do the multiplcation:

6 * 3 = 18

18 - 23 + 4

23 + 4 = 27

27 - 18 = 9

Step-by-step explanation:

Hope it helps! =D

Find the measure of angles 1 and 2.
Explain your reasoning as to how you determined the measurements of angles 1 and 2.

Answers

The required values of the angle ∠1 and ∠2 are  135°and 135°respectively.

Explain about angle.

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

According to question:

We need to find angle 1 and 2

So, by using corresponding angle theorem,

∠1 = 135°

Similarly for ∠2

By using vertically opposite angle,

∠2 =135°

Thus, required value of the angle are ∠1 = 135°, ∠2 =135°.

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What is angle CBD
A=60
D=80
C=25

Answers

The measure of angle m∠CBD is equal to 55°

How to to evaluate for the missing angle m∠CBD

We shall first find the measure of the angle m∠CDB so that we can evaluate for the measure of angle m∠CBD using the sum of interior angles of a triangle theorem as follows:

m∠ADB and m∠CDB are on a straight line and their sum is equal to 180° so;

m∠CBD + 80° = 180° {sum of angles on a straight line}

m∠CDB = 180° - 80° {subtract 80° from both sides}

m∠CDB = 100°

m∠BCD + m∠CDB + m∠CBD = 180° {sum of interior angles of a triangle}

25° + 100° + m∠CBD = 180°

125° + m∠CBD = 180°

m∠CBD = 180° - 125° {subtract 125° from both sides}

m∠CBD = 55°

In conclusion, the measure of angle m∠CBD is equal to 55°.

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A cylinder measures 5 inches tall and has a base radius of 8 inches. How does the cylinder's lateral area compare to the sum of the areas of the two bases? Use π≈3.14. Enter your answer, rounded to the nearest tenth, in the box to correctly complete the statement. The lateral area of the cylinder is approximately square inches less than the sum of the areas of the two bases.

Answers

Answer:

nches. L.S.A.=2π(3)(9)=54π inches2. ≈169.64 inches2

Step-by-step explanation:

Colin had $23 to spend on four raffle tickets after buying them had $11 how much did each raffle ticket cost what’s the equation HELPPP

Answers

Colin had $23 to spend on four raffle tickets after buying them had $11. So each raffle ticket cost is $3 and the equation is 4x + 11 = 23.

Colin had $23 to spend on four raffle tickets after buying them had $11

We have to determine how much each raffle ticket cost and the equation.

Let the cost of one raffle is x.

So the cost of four raffle is 4x.

Colin has total $23.

Colin has left money = $11

So the required equation should be

4x + 11 = 23

Now solving the equation

Subtract 11 on both side, we get

4x = 12

Divide by 4 on both side, we get

x = 3

The cost of one raffle is $3.

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1 1/5 - 1/3 greater or less than 1

Answers

Answer:

LESS THAN ONE

Step-by-step explanation:

1 1/5 - 1/3=0.86666666666

0.86666666666

MARK ME BRAINLISIST!

I AM POG

INTEGRALS EXERCISES PLEASE HELPPPPP, I’LL GIVE U A CROWN

Answers

Answer:

2. sec x + c

1.1 view attached pic

1.2 view attached pic

Step-by-step explanation:

if jenna saves $2500 per year with an intrest of 10% compounded annually how much would she have in 30 years

Answers

Answer: Jenna would have $37,175 in 30 years if she saves $2500 per year with an interest rate of 10% compounded annually.

Step-by-step explanation:

To calculate the total amount Jenna would have after 30 years of saving $2500 per year with an interest rate of 10% compounded annually, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the final amount (principal + interest)

P = the initial principal (the amount Jenna saves each year, $2500 in this case)

r = the interest rate (10% in this case, so 0.10)

n = the number of times interest is compounded per year (annually in this case, so 1)

t = the number of years (30 in this case)

Plugging in the values:

A = $2500(1 + 0.10/1)^(1*30) = $2500(1.10)^30 = $2500(14.87) = $37,175

So, Jenna would have $37,175 in 30 years if she saves $2500 per year with an interest rate of 10% compounded annually.

Answer:

$411,235.06

Step-by-step explanation:

please help i dont know how to do this
(will give 25 points) .

Answers

The values of x in the one-step equation are presented as follows;

x = 4x = 4x = 22x = 65x = 17x = 44x = 2.[tex]\overline{6}[/tex]x = 5x = 12x = -21x = -6.6x = -1/2The calories in the whole cake is 1,680 caloriesPedro made 54 ounces of coffee

What is a one-step equation?

A one-step equation is one in which the solution can be found with a single step operation.
The solution of the one-step equation found using inverse operations can be presented as follows;

1. 4·x = 16

4·x/4 = 16/4 = 4

4·x/4 = x = 4

x = 4

2. x + 9 = 13

x + 9 - 9 = 13 - 9

x = 4

3. x - 8 = 14

x - 8 + 8 = 14 + 8

x = 22

4. x/5 = 13

(x/5) × 5 = 13 × 5

(x/5) × 5 = x = 13 × 5 = 65

x = 65

5. x - 6 = 11

x - 6 + 6 = 11 + 6

x = 17

6. 2·x = 88

2·x/2 = 88/2 = 44

2·x/2 = x = 44

x = 44

7. 6·x = 16

6·x/6 = 16/6

6·x/6 = x = 16/6 = 2.[tex]\overline{6}[/tex]

x = 2.[tex]\overline{6}[/tex]

8. x + 2.5 = 7.5

x + 2.5 - 2.5 = x = 7.5 - 2.5 = 5

x = 5

9. (2/3)·x = 8

(2/3)·x/(2/3) = 8/(2/3) = 8 × (3/2) = 12

(2/3)·x/(2/3) = x = 12

x = 12

10. x/3 = -7

x/3 × 3 = -7 × 3 = -21

x = -21

11. x - 1.6 = -8.2

x - 1.6 + 1.6 = -8.2 + 1.6 = -6.6

x = -6.6

12. 4·x = -2

4·x/4 = -2/4 = -1/2

4·x/4 = x = -1/2

x = -1/2

13. The number of slices into which the cake is divided = 6 Slices

The amount of calories per each slice of the cake = 280 calories

The amount of calories in the whole cake is therefore;

The sum of the calories in the cake  = 6 × 280 calories = 1,680 calories

14. Amount of coffee Pedro served to his friends = 34 ounces

Amount of coffee left over = 20 ounces

The total amount of coffee Pedro made = 20 + 34 = 54

The amount of coffee Pedro makes = 54 ounces

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Can someeeeeoneee helppp meeee please

Answers

Answer: Yes it's 7

Step-by-step explanation:

10/100 x 70 = 7

Answer:The correct answer would be 7

Step-by-step explanation:

What is the solution to the system of equations shown in the graph?
Responses
A (0, 5)(0, 5)
B (1, -2)(1, -2)
C no solution
D (0, -1)(0, -1)
E (-2, 1)(-2, 1)

Answers

Answer: B is the answer

Step-by-step explanation:

B. (1,-2)(1,-2)
Have a Great day :)

i need help please i have been stuck on this problem for 2 months too

Answers

Answer:

280 cubic m

Step-by-step explanation:

SA of rectangular prism = 2lh + 2lw + 2hw

w = width

l = length

h = height

SA = 2(5)(6) + 2(5)(10) + 2(6)(10)

SA = 2(30) + 2(50) + 2(60)

SA = 60 + 100 + 120

SA = 280

It takes Julie 4 minutes to run a kilometer. How many kilometers can she run in 12 minutes?


Answers

Answer: 180 kilometers

Step-by-step explanation:

Answer:

I think she runs 1 kilometer every 5 minutes

Step-by-step explanation:

Workers in an office of 40 staff were asked their favourite type of take-away. The results are summarised in the table. Take-away Frequency Angle Pizza 3 a Curry 12 b Fish & chips 7 c Kebab 3 d Other 15 e Work out the size of each angle to draw a pie chart.

Answers

The measure of angles a, b, c, d and e are 54°, 18°, 108°, 81° and 99°.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, workers in an office of 40 staff were asked their favorite type of take-away.

Fraction of a person = 1 degree

Here, 360° = 40 people

So, 1 degree = 40/360 =1/9

Now, angle a =6/40 ×360

= 54°

Angle b= 2/40 ×360

= 18°

Angle c= 12/40 ×360

= 108°

Angle d = 9/40 ×360

= 81°

Angle e =11/40 ×360

= 99°

Therefore, the measure of angles a, b, c, d and e are 54°, 18°, 108°, 81° and 99°.

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The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). The monthly cost for 40 minutes of calls is $16.03 and the monthly cost for 81 minutes is $19.72. What is the monthly cost for 64 minutes of calls?​

Answers

Answer:

18.19

Step-by-step explanation:

$ = linear f(t)

$16.03 = f(40) = fixed fee + per min fee = x + 40y

$19.72 = f(81) = fixed fee + per min fee = x + 81 y

use above 2 equations to minus the other

you get:

19.72-16.03 = 41y

so y = 0.09

so x = 16.03 - 40*0.09 =12.43

so for 64 mins

cost = 12.43 + 0.09*64 =18.19

this problem has two parts. the second part will appear after you answer the first part correctly. (a) what are the vertical asymptotes of f (x)

Answers

The asymptotes of f vertically (x)x=4, -4 are the vertical asymptotes.

An area on a graph where a function approaches infinity or negative infinity is known as a vertical asymptote. It happens when a rational function, which is a function that can be expressed as the quotient of two polynomials, has a denominator equal to zero but a numerator that is not. As a result, there is a noticeable "break" in the graph when the function becomes unbounded. For instance, when x=3, the vertical asymptote of the function 1/(x-3) exists.

As per the data given in the above question are as bellow,

The provided data are,

[tex]\mathrm{F}(\mathrm{x})=\frac{3 \mathrm{x}^2}{\mathrm{x}^2-16}[/tex]

When it comes to vertical asymptotes, the denominator is zero.

[tex]\mathrm{x}^2-16 & =0 \\\mathrm{x}^2 & =16 \\[/tex]

x= ±4

x=4,-4

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Express the following as a rate.
a) 20 litres of Petrol for R180​

Answers

The rate of petrol in this case is R9 per liter.

What is rate?

In mathematics, rate is a measure of how one quantity changes in relation to another quantity. It is often expressed as a ratio or fraction, where the numerator represents the amount of change in the first quantity and the denominator represents the amount of change in the second quantity.

The rate of petrol can be expressed as the cost per liter. To find the cost per liter of petrol in this case, we can divide the total cost by the total amount of petrol:

Cost per liter = Total cost / Total amount

For the given scenario, we have 20 litres of petrol for R180. So the rate can be calculated as:

Rate = Total cost / Total amount = R180 / 20 litres

Simplifying the expression, we get:

Rate = R9 per litre

Therefore, the rate of petrol in this case is R9 per liter.

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27 is 7.5% of what number

Answers

Answer:

27 is 7.5% of the number 360

A company manufactures and sells shirts the daily profit. The company makes depends on how many shirts they sell the profit in dollars when the company sells X shirts can be found using the function F buy X)equals 6X -90 find the interpret the given function values and determine inappropriate domain for the function f(-9)
profit of
of the problem.
=
f(27)
profit of
of the problem.
=
f(17.5) =
profit of
of the problem.
meaning if the company sells |
dollars. This interpretation
meaning if the company sells
dollars. This interpretation
, meaning if the company sells
dollars. This interpretation
shirts, they would make a
in the context
shirts, they would make a
in the context
shirts, they would make a
in the context

Answers

Answer:

The derivative of the profit function P(x) is called marginal profit with notation: P ... Example 2: Given the average cost in dollar per unit C = 357x + 1800 , find: ... (1) the selling price to maximize the revenue is 31 − 3 = 28 dollars per unit ... Example 6: A company has established that the revenue function in dollars is R(x)=2x.

Step-by-step explanation:

789. divided by 68 equals 168

-60=x-16, -60+?=x-16+?

Answers

The value of x when using addition property of equality to solve the given problem is; -44

How to use addition property of equality?

The addition property of equality is a property of equality that states that when the same quantity is added to both sides of an equation, it will produce an equivalent equation. For example, 4 = 2 + 2 is an equation due to the fact that both the right and the left-hand sides of the equal sign represent the number 4.

The equation to solve is;

-60 = x - 16

By the use of addition property of equality, we will add 16 to both sides to get;

-60 + 16 = x - 16 + 16

x = -44

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6.
Stem
1
2
3
Leaf
556
1 1 1
5 6
16 means 1.6
Match the stem and leaf plot to the correct set of data.

Answers

The correct set of data matched to the stem and leaf plot is given as follows:

1.5, 1.5, 1.6, 2.1, 2.1, 2.1, 3.5, 3.6.

What is a stem-and-leaf plot?

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

1|6 = 1.6.

(in the context of this problem).

Following the key format, the measures listed in the answer represent the correct data-set from the stem-and-leaf plot.

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a piece in a wooden toy set is a sphere of radius 7cm , with a cylindrical hole of radius 1cm drilled through the center. find the volume of this piece. write the exact answer. do not round.

Answers

The volume of the piece is: 4489.33

To find the volume of this piece, we need to subtract the volume of the cylindrical hole from the volume of the sphere.

The volume of the sphere is given by the formula: V = (4/3) * pi * r^3

Where r is the radius of the sphere, so in this case: V = (4/3) * pi * (7cm)^3 = 1436 * 3.14 cm^3 = 4511.32 cm^3

The volume of the cylinder is given by the formula: V = pi * r^2 * h

Where r is the radius of the cylinder and h is the height of the cylinder, since the hole is drilled through the center of the sphere, the height of the cylinder is equal to the radius of the sphere, so: V = 3.14 * (1cm)^2 * 7cm = 21.99 cm^3

So the volume of the piece is: 4511.32 - 21.99 = 4489.33 cm^3

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PLSSS HELP IF YOU TURLY KNOW THISSS

Answers

Answer:

8

Step-by-step explanation:

x= 24/3 = 8

Answer:

[tex] \sf \: x = 8[/tex]

Step-by-step explanation:

Given equation,

→ 3x = 24

Now the value of x will be,

→ 3x = 24

→ x = 24 ÷ 3

→ [ x = 8 ]

Hence, the value of x is 8.

Please help me out on my homework

Answers

Answer:

no solutions

Step-by-step explanation:

8(2w - 3) = 4(4w - 8)

Use distributive property.

16w - 24 = 16w - 32

subtract 16w from both sides.

-24 = -32

When the variable falls out of the equation as you are working on it, and you're left with a false statement, there is no solution.

Answer:

no solution

Step-by-step explanation:

to find the value of w, we have to isolate it on one side of the equation.

first, we distribute the numbers outside of the parentheses and multiply them to each term on the inside. this gives us:

16w - 24 = 16w - 32

next, we move 24 to the other side of the equation by adding 24 to both sides. by doing this, we get rid of 24 on the left side by making its value 0, and we add it to -32 on the right side. this gives us:

16w = 16w - 8

after this, we do the same with the 16w on the right side and subtract it from both sides. however, you might notice that there's a problem here.

when you try to move the 16w on the right side to the left side, you subtract 16w from itself, which gets rid of the variable entirely. whenever this happens, there are no values of the variable that make the equation possible- meaning that the answer is no solution.

hope this helped, good luck!

Write a system of equations.. Taxi company charges a fee of $10 plus $2.50 per mile, taxi company #2 charges $4.00 per mile with no fee

PLEASE HELP, DUE TOMORROW

Answers

The equation for the situation described in your problem would be y  is $10x + $2.50  .

How do a set of equations work with answers?

To utilize substitution to resolve an equational system:

Divide one of the two variables in one of the equations.

Substitute the expression that the isolated variable's equivalent from Step 1 into the other equation.

Solve the linear equation for the last variable.

system of equations, simultaneous equations Algebraic equations involving two or more must be solved cooperatively (i.e., the solution must satisfy all the equations in the system). For a system to have a single solution, the number of equations must equal the number of unknowns. Even then, a solution is not guaranteed.

The following equation would apply to the scenario in your problem:

y =$10x + $2.50  

y = $2x + $4.00

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Determine the lowest common denominator for each sum or
13/24 • 7/12
Common Denominator: 10 Common Denominator: 12
Common Denominator: 24
7/6 • (-5/12)
344 • (-2/3)
5 - 7/10
1/8 - 5/3
3/2 -4/5

Answers

The expressions which are having common denominator 24 are

13/24  +  7/12 , 1/8  -  5/3 and for 10 are 5 - 7/10 , 3/2 -  4/5 and for 12 are

7/6  -  5/12, -3/4 - 2/3.

What is Algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants.

Given ,

So given expressions are,

13/24  +  7/12   =  13+ 7*2 / 24  = 13+14 / 24 = 27/24

7/6  -  5/12 = 7*2 - 5 / 12  = 14-5/12 = 9/12

-3/4 - 2/3 = - (3/4 + 2/3 ) = - ( 9 + 8 / 12) = -17/12

5 - 7/10  = 5*10 - 7 / 10  =  50 - 7 / 10 = 43/10

1/8  -  5/3   = 3 - 8*5 / 24  = 3-40 / 24 = -37 / 24

3/2 -  4/5 = 3*5 - 2*4 / 10  = 15-8 / 10  = 7/10

Therefore, The expressions which are having common denominator 24 are 13/24  +  7/12 , 1/8  -  5/3 and for 10 are 5 - 7/10 , 3/2 -  4/5 and for 12 are 7/6  -  5/12, -3/4 - 2/3.

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h(x) = 3x; Find h(-6)

Answers

Whenever you see something like this, or usually it’s f(x). Simply take the given number and plug it into x. So in this case, we are given the equation h(x)=3x and asked to find h(-6). Simply replace the x in the equation with -6.
h(x)=3x
h(x)=3(-6)
h(x)=-18
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Objects with masses of 232 kg and 538 kg are separated by 0.342 m. a 60.6 kg mass in placed midway between them. 538 kg 1232 kg 60.6 kg - 0.342 m. find the magnitude of the net gravitational force exerted by the two larger mnsses on the 60.6 kg mass. the value of the univorsal gravi tational constant is 6.672 10-in- m/kg? answer in units of n 017.leaving che distance botron the 242 kg and che 538 koenasses fixed. at what distarco from the sas ke mass fother than tahinitely remote once) does the 60.6 ka mass experienco a net fored of pay? Part A If the switch in the circuit has been in position a for a long time, find the initial voltage across the capacitor at t = 0-Vs = 4.0 V , Is = 38.0 mA , R1 = 21.0 k , R2 = 80.0 k , R3 = 92.0 k , R4 = 88.0 k , R5 = 16.0 k , R6 = 36.0 k , C = 60.0 F .Part B - Find the time constant, , after t = 0Vs = 85.0 V , Is = 28.0 mA , R1 = 60.0 k , R2 = 28.0 k , R3 = 3.0 k , R4 = 2.0 k , R5 = 55.0 k , R6 = 64.0 k , C = 2.0 F .Part C - Find the Norton equivalent current seen by the capacitor after t = 0Vs = 83.0 V , R3 = 63.0 k , R4 = 100.0 k , R5 = 91.0 k , R6 = 14.0 k , C = 99.0 F .Part D - Write an expression for the capacitor voltage, v(t), for t 0Express your answer as an algebraic expression in terms of Vs, Is, R3, R5, R6, C.Part E - Write an expression for the power dissipated in the resistor R 6 for t 0+Express your answer as an algebraic expression in terms of Vs, Is, R3, R5, R6, and C. a jet travels 2964 miles against the wind in 4 hours and 3564 miles with the wind in the same amount of time. what is the rate of the jet in still air and what is the rate of the wind? to get pumped up before a performance, sam thought positive thoughts and recited things like: i can do this. this type of intrapersonal communication is best described as . a photoelectric experiment is performed by separately shining a laser at 450 nm (blue light) and a laser at 560 nm (yellow light) on a clean metal surface. assume that each laser is above the threshold frequency and delivers the same number of photons per second. a. which laser will eject more electrons per second? b. which laser will eject electrons with greater kinetic energy? c. which laser will eject electrons with shorter de broglie wavelength? Explain the connotation of the word "wimp" and how it would impact the tone and meaning of a story. r12. what advantage does a circuit-switched network have over a packet-switched network? what advantages does tdm have over fdm in a circuit-switched network? HELP ASAP I NEED HELP ON THIS QUESTION Let us assume that you started a job on 08/21/2019. You graduated on 05/20/2022. How many days have you been working at the job as a student?Group of answer choicesa.1215b.1287c.905d.1003 in the context of world systems theory, which of the following is a characteristic of semiperipheral nations? group of answer choices they exert massive control over world trade and economic agreements across national boundaries. they typically provide labor and raw materials to core nations within the world system. they possess most of the world's capital and technology. they had a gross national income (gni) per capita of less than $1,045 in 2015. disneyland employees laughed at struggling disabled guest before deadly fall, lawsuit alleges bart, inc., a newly organized corporation, uses the equity method of accounting for its 30% investment in rex co.'s common stock. during year 1, rex paid dividends of $300,000 and reported earnings of $900,000. in addition: the dividends received from rex are eligible for the 65% dividends received deduction. all the undistributed earnings of rex will be distributed in future years. there are no other temporary differences. bart's year 1 income tax rate is 30%. the enacted income tax rate after year 1 is 21%. in bart's december 31, year 1, balance sheet, the deferred income tax liability should be Which of the following organs links the nervous system with the endocrine system?a. pituitaryb. pineal glandc. thalamusd. hypothalamus ayuden gente pipi ,a rectangular garden has a walkway around it .the area of the garden is 6(4.5x+2.5).the combined area of the garden and the walkway is 6.5(6x+4)find the area of the walkway around the garden as the sum of two terms