IF x=2y and y=1/4 what does x equal

Answers

Answer 1

Answer:

[tex]x=\frac{1}{2}[/tex]

Step-by-step explanation:

replace y with 1/4

x=2(1/4)

x=2/4

x=1/2

Hopes this helps please mark brainliest


Related Questions

The question linked to the chart: Write the linear function in slope-intercept form only that corresponds with this table. Please help!

Answers

A linear function in slope-intercept form that only corresponds with this table is y = 2x + 8.

How to write the linear function in slope-intercept form?

Mathematically, the slope-intercept form of a straight line is given by;

y = mx + b

Where:

x and y represents the points.m represents the slope.b represents the y-intercept.

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

From the information provided, we have the following parameters:

Point (x, y) = (-1, 6)

Point (x, y) =  (0, 8)

Substituting the given points into the formula, we have;

Slope, m = (8 - 6)/(0 - (-1))

Slope, m = (2)/(0 + 1)

Slope, m = 2/1

Slope, m = 2.

In Mathematics, the y-intercept of a graph occurs at the point where the x-value is equal to zero (0), which is 8 in the table shown above.

Therefore, the slope-intercept form is given by:

y = mx + b

y = 2x + 8

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y = x² − 1
-7=-x²-y
What are the solutions?

Answers

Explanation: Please give brainly if it's right!

First move all the x and y values on one side, and the constants on the other:

-x² + y = − 1

-x² - y = -7

Multiply -1 to the 2nd equation to change signs and then solve:

-x² + y = − 1

+x² + y = +7

2y = 6

y = 3

Plug in y to either equation (I plug into the first one)

-x² + 3 = − 1

-x² = -4

x = 2

HELPPPP
All of the following relations represent functions, except which?
Responses

{(1, 2), (-2, 2), (5, 2), (4, 2)}

{(7, 8), (7, 9), (7, 10), (7, 11)}

{(0,0)}

{(1, 4), (-2, 8), (2, 2), (4, 9)}


PLEASE SHOW STEP BY STEP!

Answers

{(1, 4), (-2, 8), (2, 2), (4, 9)} it is a function as every input has a unique output. Therefore, option B is not a function.

The given coordinate points are {(1, 2), (-2, 2), (5, 2), (4, 2)}.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

A) {(1, 2), (-2, 2), (5, 2), (4, 2)}

It is a function as every input has a single output.

So, 1, -2, 5 and 4 are the elements of the domain of the given relation.

Here domain ={1, -2, 5, 4} and range ={2}

B) {(7, 8), (7, 9), (7, 10), (7, 11)}

Since the element 7 corresponds to four different images i.e., 8, 9, 10 and 11. So, this relation is not a function.

C) {(0,0)}

It is a function as every input has a single output.

So, 0 is the element of the domain of the given relation.

Here domain ={0} and range ={0}

D) {(1, 4), (-2, 8), (2, 2), (4, 9)}

It is a function as every input has a unique output.

So, 1, -2, 2 and 4 are the elements of the domain of the given relation.

Here domain ={1, -2, 2, 4} and range ={4, 8, 2, 9}

{(1, 4), (-2, 8), (2, 2), (4, 9)} it is a function as every input has a unique output. Therefore, option B is not a function.

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How many pound
1/4
hamburgers can be made
from 2 1/2 pounds of ground
beef?

Answers

From the given data, total number of hamburgers of (1/4) pounds each using 2 1/2 pounds of ground beef is equal to 10.

As given in the question,

Total pounds of hamburger need to be made = 1 / 4 pounds

Total pounds of ground beef is used to make hamburger = 2 1 / 2 pounds

Let us consider 'n' be the total number of hamburger to be made each of

1 / 4 pound .

Required equation to show the given relation is given by:

n × ( 1 / 4) = 2  1/ 2

Convert mixed fraction into proper fraction we get,

⇒ n × ( 1 / 4) = 5 /2

⇒ n = ( 5/ 2) × ( 4 /1)

⇒ n = 5 × 2

⇒ n = 10 hamburgers

Therefore, from the given data, total number of hamburgers of (1/4) pounds each using 2 1/2 pounds of ground beef is equal to 10.

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At 99°F, a certain insect chirps at a rate of 68 times per minute, and at 105°F, they chirp 80 times per minute. Write an equation in slope-intercept form that represents the situation.

Answers

Answer:y=mxb

Step-by-step explanation:

Answer:

The equation is: y = 5x - 268

Which of the following functions is graphed below?

Answers

Answer: B

Step-by-step explanation:

Answer:

Your answer is B

Step-by-step explanation:

Help please I don't know what to do on this and it's urgent I need this in 20 min.

Answers

Answer:

1) 112°

3) 55°

4) 51°, complementary angles

Step-by-step explanation (question one):

3x +10 +2x = 180

3x +10 +2x -10 = 180 -10

3x + 2x = 170

5x = 170

x = 34

3(x)+10 = angle ABD

3(34)+10 = angle ABD

102+10 = angle ABD

angle ABD = 112°

Step-by-step explanation (question two):

180 -70 = 2x

110 = 2x

55 = x

angle SQT = 55°

Step-by-step explanation (question three):

Since it's a right angle, we can simply subtract.

90 -39 = 51

angle b = 51°

I wish you luck on your homework!

find the product. [5 5 [-4 9
-2 3] 8 7]

Answers

Answer:

 (a)

  [tex]\left[\begin{array}{cc}20&80\\32&3\end{array}\right][/tex]

Step-by-step explanation:

You want the product of the given 2×2 matrices.

Solution

The value at any given (row, column) of the result matrix is the dot product of the corresponding row of the first matrix with the corresponding column of the second matrix.

For example, row 2 column 1 of the result will be the dot product of row 2 of the left matrix with column 1 of the right matrix:

  [-2, 3]·[-4, 8] = (-2)(-4) +(3)(8) = 8 +24  = 32

This is sufficient to identify the first answer choice as the correct one.

__

Additional comment

A suitable calculator can compute the entire product for you, as in the attachment.

The data in the table describes the preferred type of exercise of student athletes.


Cycling Running Row Totals
Male 0.22 0.32 0.54
Female 0.15 0.31 0.46
Column Totals 0.37 0.63 1.00


What is the conditional relative frequency that a female prefers running? Round your answer to two decimal places.
0.36
0.49
0.58
0.67

Answers

The conditional relative frequency that a female prefers running is 0.36

What is Statistics?

Statistics is a branch of applied mathematics that involves the collection, description, analysis, and inference of conclusions from quantitative data

The specific number (females prefer cycling = 0.15) and the fitting total. There are 2 possibilities for that total :

all females

all people preferring cycling

the way it was phrased I would say the reference is all females.

the conditional relative frequency is then

0.15 / 0.46 = 0.326

Hence the conditional relative frequency that a female prefers running is 0.36

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Answer:

Step-by-step explanation:

Dont listen to the above the answer is acually 58

There is a 10% off sale on laptops. If someone saves $35 on a laptop, what was its original cost

Answers

The original cost of the laptop is 350$
10% of 350 = 35
35 x 10 = 350

Answer: $350

Reason: 10% of $350 is $35.

GIVING BRAINLIEST AND 13 POINTS TO THE PERSON WHO SOLVES THIS

Answers

An algebraic representation which best describes this transformation is: C. (x, y) → (5x/2, 5y/2).

What is dilation?

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

By critically observing the graph, we can logically deduce the following vertices:

Coordinate P = (-1, 1)Coordinate Q = (2, 0)Coordinate R = (-1, -2)Coordinate P' = (-5/2, 5/2)Coordinate Q' = (5, 0)Coordinate R' = (--5/2, -5)

In this scenario, the transformation rule is given by this algebraic representation:

Q (x, y)                      →               Q' (x, y)

Coordinate Q = (2, 0)   →  Coordinate Q' = ((5/2 × 2), (5/2 × 0)) = Coordinate Q' = (5, 0).

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The screening process for detecting a rare disease is not perfect. Researchers have developed a blood test that is considered fairly reliable. It gives a positive reaction in 97% of the people who have a disease. However, it erroneously gives a positive reaction for 5% of the people who do not have the disease. Consider the null hypothesis "the individual does not have the disease". What is the probability of type i error if the new blood test is used?.

Answers

The probability of a type I error is 0.022.

Given,

In the question;

It is not always possible to identify rare diseases by screening. A blood test that has been created by researchers is thought to be reasonably dependable. In 97% of those who suffer from a sickness, it produces a favorable response. However, 5% of those tested receive an incorrectly positive response because they do not have the condition.

The null hypothesis is given as "the individual does not have the disease".

We have to find the probability of type l error if the new blood test is used;

Here,

A: The individual does not have the disease

B: The individual does have the disease

We know that,

Type I Error is rejecting the true null hypothesis

Then, probability;

P (Type I Error) = P(Positive reaction to an individual who does not have the disease)  = 0.022

Hence, The probability of a type I error is 0.022.

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What is the distance between (-5, -5)(−5,−5)left parenthesis, minus, 5, comma, minus, 5, right parenthesis and (-9, -2)(−9,−2)left parenthesis, minus, 9, comma, minus, 2, right parenthesis?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
555

(Choice B)
B
777

(Choice C)
C
\sqrt{12}
12

square root of, 12, end square root

(Choice D)
D
\sqrt{29}
29

Answers

Based on the calculations, the distance between points (-5, -5) and (-9, -2) on a coordinate plane is equal to: A. 5 units.

How to calculate the distance on coordinates?

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Given the following points:

Points on the x-axis = (-5, -5).Points on the y-axis = (-9, -2).

Substituting the given points into the formula, we have;

Distance = √[(-2 - (-5))² + (-9 - (-5))²]

Distance = √[(-2 + 5)² + (-9 + 5)²]

Distance = √[3² + 4²]

Distance = √[9 + 16]

Distance = √25

Distance = 5 units.

In conclusion, we can logically deduce that the distance between the given points on a coordinate plane is 5 units.

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Complete Question:

What is the distance between (-5, -5) and (-9, -2?

Choose 1 answer:

A. 5

B. 7

C. √12

D. √29

a local hamburger shop sold a combined total of 520 hamburgers and cheeseburgers on tuesday they were 70 more cheeseburgers sold than hamburgers how many hamburgers were sold on tuesday​

Answers

If  they were 70 more cheeseburgers sold than hamburgers. The number of hamburgers  that were sold on Tuesday​ is 225.

How to find the  hamburgers sold?

Total of 603 hamburgers and cheeseburgers = x+y= 520

70 more cheeseburgers than hamburgers = y=x+70

Hence,

x+y= 502

y=x+70

Substitution

x+(x+70)= 520

2x+70 = 520

  -70    -70

2x= 450

2    2

x=225 hamburgers

Number of cheeseburgers

Substitute  x in either equation.

y=x+ 70

y=225 +70

y=295 cheeseburgers

Therefore 225  hamburgers was sold.

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Find the equation of the exponential function represented by the table below:
x. Y
0 0.01
1. 0.04
2 0.16
3 0.64

Answers

The equation of the exponential function represented by the table y = 0.12x + 0.01

From the table choose two points

The first point = (1, 0.04)

The second point = (2, 0.16)

The slope of the line is the change in y coordinate with respect to the change in x coordinate of the function

The slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the values in the equation

The slope of the line = (0.16 - 0.04) / (2-1)

= 0.12/1

= 0.12

From the table we can see that at x = 0 the value of y = 0.01, then the value of y intercept is 0.01

The slope intercept form is

y = mx + b

Substitute the values in the equation

y = 0.12x + 0.01

Hence, the equation of the exponential function represented by the table y = 0.12x + 0.01

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3. Look at the following points.
(4, 0), (3,-1), (6, 3), (2,-4)
Which are solutions to y = x - 4? Choose all correct answers.
(6,3)
(4,0)
(3,-1)
(2,-4)

Answers

The coordinates (4, 0) and (3, -1) represents the solution of the function f(x).

According to the question -

y = f(x) = x - 4

Case 1 : P(4, 0)

0 = 4 - 4 = 0

P (4, 0) represents a solution

Case 2: P (3, -1)

-1 = 3 - 4 = -1

P (3, -1) represents a solution

What is three-fourths times nine?

Your answer should be in whole or mixed number form.

Answers

Answer:

the answer is c, 6 3/4.

Step-by-step explanation:

A regular polygon is shown. 12 sided regular polygon Determine the measure of one of its angles.

Answers

The measure of one of its angle is 150°

A Polygon is a two-dimensional closed figure made up of line segments (not curves). Polygon is a combination of two words, poly (which means many) and gon (which means shape) (means sides). To create a closed figure, at least three line segments must be connected end to end.

Given that

12 sided regular polygon

We can use the following formula to calculate the total number of degrees in any shape:

(n−2)⋅180

[Where n = number of sides]

(12−2)⋅180

(10)⋅180

=1800

So a 12-sided polygon has 1800 degrees. To calculate the measure of one angle, divide the total number of degrees (1800) by the number of sides, n.

(1800/12) = 150°

Therefore the measure of one of its angle is 150°

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1) Mei was going to sell all of her stamp
collection to buy a video game. After
selling half of them she changed her mind.
She then bought thirteen more. How
many did she start with if she now has 25?

Answers

Answer:

24

Step-by-step explanation:

let the starting number be x

she sold 1/2 x and has 1/2 x remaining with her

she bought 13 and has 25 now

so, 1/2x + 13 = 25

1/2 x= 25-13 = 12

hence x= 24

Answer:

    24

Step-by-step explanation:

now Mei has 25 stamp collections after adding 13 more to what she remained with after selling; this means that after selling she was left with (25_13)=12

this is the half of what she had initially

this means that she initially had (12*2)=24

this gives means that she started with 24 as a stamp of her collection

Determine whether the equation below has one solution no solutions or an infinite number of solutions afterwards determine to values of X to support your conclusion
X – 6 = 6 – X

Answers

Answer: this equation has infinite solutions

Explanation:
x-6=6-x
2x-6=6
2x=12
x=6
When you substitute:
6-6=6-6
0=0
Since 0=0 is a true statement, then this equation has infinite solutions

A dressmaker sells a shirt for $75. If she makes 25% profit how much did it cost her to make the shirt?

Answers

Answer: $56.25

Step-by-step explanation:

First, I'm going to assume that she makes 25% profit on the selling price.

Set the cost of the shirt as x. Profit is calculated as selling price - cost. Profit is stated to be 25% or [tex]\frac{1}{4}[/tex], so an equation can be set up as:

[tex]\frac{1}{4} *75=75-cost\\\\cost = 75-\frac{1}{4} *75=56.25[/tex]

how many times can a honey bee beat its wings per hour? PLS I NEED THIS BECAUSE MT TEACHER DIDNT TELL US WE HAD HOMEWORK UNTIL LIKE RN AND ITS MONDAY!!!

Answers

Answer:

900,000

Step-by-step explanation:

From the given table, we are told that the honeybee beats its wings at a rate of:

250 beats per second.

There are 60 seconds in a minute, and 60 minutes in an hour.

Therefore, there are:

60 × 60 = 3600 seconds in an hour.

To find how many times a honeybee can beat its wings in an hour, multiply the number of times it beats its wings per second by 3600:

⇒ 250 × 3600 = 900,000

Therefore, a honeybee beats its wings 900,000 beat per hour.

PLEASE HELP WILL MARK BRAINLIEST
which representation corresponds to the equation y=3x+1

Answers

The representation of equation y = 3x + 1 is as shown below.

The correct answer is option (D)

In this question, we have been given an equation y = 3x + 1

We need to find the correct representation  of given equation.

For x = 0,

y = 3(0) + 1

y = 1

For x = 2,

y = 3(2) + 1

y = 7

for x = -1,

y = 3(-1) + 1

y = -2

This means, the options A, B and C are incorrect.

Therefore, the representation of equation y = 3x + 1 is as shown below.

The correct answer is option (D)

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Find the value of 8y +3 given that -11y-9=2. Simplify your answer as much as possible.p​

Answers

Answer:

Step-by-step explanation:

First solve the equation:

-11y-9=2

-11y=11

y=-1.

We then take this and plug it back into the original equation:

8(-1)+3

-8+3

-5.

So your answer is -5.

How do you find gradient of a linear graph?

Answers

Answer:  3/2

=========================================================

Explanation:

gradient = slope

Pick any two points on the diagonal line and use the slope formula.

I'll pick the two points (0,4) and (4,10)

[tex](x_1,y_1) = (0,4) \text{ and } (x_2,y_2) = (4,10)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{10 - 4}{4 - 0}\\\\m = \frac{6}{4}\\\\m = \frac{3}{2}\\\\[/tex]

The slope is 3/2.

Meaning we go up 3 and to the right 2.

a salad dressing is made by mixing yoghurt and mayonnaise in the ratio 3 : 5
karolina makes 800 ml of the salad dressing
how much yoghurt does she use?
give your answer in mililetres (ml)

Answers

Answer:

Step-by-step explanation:

The amount of yogurt that Karolina used when making 800 ml of salad is 300 ml.

A salad dressing is made by mixing yoghurt and mayonnaise in the ratio

3:5. For 800 ml of salad:

Amount of yoghurt = (3 / (3 + 5)) * 800 ml = 300 ml

The amount of yoghurt that Karolina used when making 800 ml of salad is 300 ml.

what is the coefficient of the term 4ab

Answers

The coefficient in the term 4ab is 4

Make a the subject of p= 3a+5/4-a

Answers

Answer:

4p-5/7=a

Step-by-step explanation:

4p=12a+5-5a

4p-5=12-5a

4p-5=7a

4p-5/7=a

Answer : 2a + 1.25

p = 3a + 5/4 - a
= (3a - a) + (5/4)
= 2a + 1.25

This is a calculus question please make sure that all steps are shown and that everything is shown clearly i am terrible at calculus so please help .
Thank you

Answers

Answer:

a) [tex]\displaystyle{\dfrac{dG}{dV_{\text out}}=\dfrac{20}{V_{\text out}\ln 10}}[/tex]

b) [tex]\displaystyle{\dfrac{d^2G}{dV_\text{out}^2} = -\dfrac{20}{V_\text{out}^2\ln 10}}[/tex]

Step-by-step explanation:

From the given equations to find, we are differentiating function G with respect to V out. Therefore, we will be only using the equation (6):

[tex]\displaystyle{G=20\log (10V_{\text out})}[/tex]

Here’s a fresh-up reminders for logarithmic differentiation formula:

[tex]\displaystyle{f(V)=a\log_b V \to f'(x)=\dfrac{a\cdot V'}{V\ln b}}[/tex]

Note that V' means to derive or differentiate the V-term

Therefore, in this scenario, our values of term are:

a = 20b = 10 (Since logarithm base is not shown, it’s always assumed to be common logarithm)V = 10V out

Therefore, we can apply differentiation formula:

[tex]\displaystyle{\dfrac{dG}{dV_{\text out}}=\dfrac{20\cdot \dfrac{d(10V_{\text out})}{dV_{\text out}}}{10V_{\text out}\ln 10}}[/tex]

Simplify:

[tex]\displaystyle{\dfrac{dG}{dV_{\text out}}=\dfrac{20\cdot 10}{10V_{\text out}\ln 10}}\\\\\displaystyle{\dfrac{dG}{dV_{\text out}}=\dfrac{20}{V_{\text out}\ln 10}}[/tex]

And we have finished the part a. On part b, we just differentiate the answer from part a again, the second part is to obtain the second derivative which is to derive the first derivative. Therefore:

[tex]\displaystyle{\dfrac{d^2G}{dV_{\text out}^2} = \dfrac{d\left(\dfrac{20}{V_{\text out}\ln 10}\right)}{dV_{\text out}}}[/tex]

First, separate the constant every time when you have to differentiate a function:

[tex]\displaystyle{\dfrac{20}{\ln 10}\cdot \dfrac{1}{V_{\text out}}}[/tex]

Differentiate 1/V out: recall the formula of fraction:

[tex]\displaystyle{f(V)=\dfrac{1}{V} =V^{-1} \to f'(x)=-V^{-2} = -\dfrac{1}{V^2}[/tex]

The formula above is derived from power rules formula where:

[tex]\displaystyle{f(V)=V^n = nV^{n-1}}[/tex]

Therefore, from the function of V out:

[tex]\displaystyle{\dfrac{d^2G}{dV_\text{out}^2} = \dfrac{20}{\ln 10} \cdot \left(\dfrac{1}{V_\text{out}}\right)'}\\\\\displaystyle{\dfrac{d^2G}{dV_\text{out}^2} = \dfrac{20}{\ln 10} \cdot (V_\text{out})^{-1}}\\\\\displaystyle{\dfrac{d^2G}{dV_\text{out}^2} = \dfrac{20}{\ln 10} \cdot (-V_\text{out})^{-2}}\\\\\displaystyle{\dfrac{d^2G}{dV_\text{out}^2} = \dfrac{20}{\ln 10} \cdot \left(-\dfrac{1}{V_\text{out}^2}\right)}[/tex]

Simplify to latest as we get:

[tex]\displaystyle{\dfrac{d^2G}{dV_\text{out}^2} = -\dfrac{20}{V_\text{out}^2\ln 10}}[/tex]

Please let me know if you have any questions!

What is one over six raised to the third powerequal to?

Answers

Answer:

Step-by-step explanation:

one over the six raised to the third power = 0.00462962962

Answer:

1/216 ≅ 0.00462963

Step-by-step explanation:

Don't know if you need decimal or fraction so I put both

1/6 X 1/6 X 1/6 = 1/216

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Every week, we run 10 classes ranging from relaxing yoga and pilates to high -energy body pump. If you're looking for a personal training programme, we have a team of six excellent personal trainers with a combined 50 years experience between them. After using our facilities , you can complete your experience with a meal or a drink in our members -only caf. We have a choice of membership schemes to suit all: from basic membership to platinum membership entitling you to sign in guests and access all our weekly exercise classes. (See our website for more information.) Why not drop in to arrange your free session and guided walk through all our facilities ? We hope to see you soon. an approach to firm internationalization in which headquarters delegates considerable autonomy to each country manager, allowing him or her to operate independently and pursue local responsiveness is called . What is meiosis step by step? Which characteristics apply to Egyptian mummy portraits of the Greco-Roman Era?Choose all answers that are correct.A: They included shrouds that showed the dead surrounded by Egyptian gods.B: They were made on metal plates using the encaustic technique.C: They were done in a Greek style of painting, showing people in Roman fashion.D: They were done in realistic Greek style rather than using Egyptian formulas.(first CORRECT answer gets brainliest) Which of the following is set out in Article 6 ofthe Constitution, naming the document as thelaw above all other laws in the United States?A. PreambleB. Supremacy ClauseC. Amendments the crucial fighting in europe took place between germany and the soviet union, including the german siege of stalingrad. select stalingrad, which is considered the turning point of the european war, on the map. Please help quick!!! 1. Explain how and why staying informed about public issues is part of being a responsible citizen. 2. Explain how and why serving on a jury when called is part of being a responsible citizen. 3. The Founding Fathers saw civic virtue as taking an active role in improving America. How do you think this is different from being a responsible citizen? What is an example of being a responsible citizen that does not require taking an active role? 4. Explain the impact citizen involvement can have at the local, state, and federal levels. suppose megan gets a sales bonus at her place of work that gives her an extra $400 of disposable income. she chooses to spend $300 and save the remaining $100. from this, you can tell that megan's marginal propensity to consume (mpc) is , and her marginal propensity to save (mps) is . mathematically, it must always be true that: disposable income A weightlifter lifts 72kg. Which of the following weights is the same as 72kg? (1kg=1,000g)720 g720,000 g72,000 g30,000 g What is the benefit of password policy? - Olaudah EquianoWhat is the author's MAIN purpose in including information about how the whitemen looked and spoke? The following angles are supplementary to each other.mA = (4x + 30) and mB = (2x 30)Determine x. 15 20 30 60 2x4+6+5x8=_______________will mark brainiest a) How many times does the line y = -6 intersect with the circle x + y = 36 ?b) Hence, use a single word to describe what the line is to the circle. Brett and Julian sign up to run in the Memorial Day race in their town. There are two different events at this race, a 5k and a 10k. Brett signed up for the 5k and Julian signed up for the 10k. Think of when both Brett and Juan would have finished 3/5 of their races. How many kilometers has each person run at this point? Discuss the consequences of court organization in approximately One dimension of a rectangle is 3 more than twice the other dimension. Let x be theshortest dimension. Write an equation for the area of the rectangle.A= x + 2x + 3A = x(2x + 3)A= 3x +2A= 2x +3 A long-term care facility's policy is that a patient's door must remain open when meeting with visitors. Which of the following is being violated?Residents' Bill of RightsPatients' responsibilitiesPatient's Bill of RightsClient rights