The side length of a cube
can be represented
by the expression 2x5. If the side length is
doubled, write an
expression to represent the
new volume of the cube.

Answers

Answer 1

Answer: 2x5=10 if it was doubled its 20 but wouldnt this be a measure of size and not of volume we would have to see all measurments for this, put 20 down and see if that works.

Step-by-step explanation: i have f's in all of my classes so dont trust me. lol

Answer 2
2x5 is one side length, which is 10. If we double that, it’s 20. To find volume, lengthxwidthxheight, and because it’s a cube, those are all 20. So, 20*20*20=8000

Related Questions

After kicking, one coach likes to play practice games with 6 players on each
team. She doesn’t like any team to have more or fewer than 6 players and
she doesn’t like anyone to be left off a team. What are the possible numbers
of players who must show up to practice so that the coach can make these
teams?

Answers

Note that the question is about numbers in multiples of 6 or which can be divided equally by 6. Thus the likely number of people who must show up to practice so that the coach can make these teams are 6, 12, 18, 24, 30, 36, 48, and so on. The bottom line is that the number must be a common multiple of 6.

What is the proof that each of the numbers above will create teams of x players each?

One way to show that each of the numbers above will equal an exact team of 6 without anyone left off is by dividing each by 6. If we get an integer, then we are correct. Thus:

6/6 = 1 Team12/6 = 2 Teams18/6 = 3 Teams24/6 = 4 Teams30/6 = 5 Teams36/6 = 6 teams48/6 = 8 Teams.

Hence, the above Common Multiples are correct.

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what is y=2x-8 y=-x+1 on a graph

Answers

not sure if you need the solution too but if you do it’s (3,-2)

What is the formula for midpoint of a line segment?

Answers

The midpoint of a line segment with endpoints A(x1,y1) and B(x2,y2) is the point: M((x₁+x₂)/2,(y₁+y₂)/2)).

The midpoint formula is defined for the points in the coordinate axes. Let (x)1, (y)1, and (x)2, (y)2 be the endpoints of a line segment.

The midpoint is equal to half of the sum of the x-coordinates of the two points, and half of the sum of the y-coordinates of the two points.

The midpoint formula to calculate the midpoint of a line segment joining these points can be given as,

The midpoint is halfway between the two endpoints:

Its x value is halfway between the two x valuesIts y value is halfway between the two y values

To calculate it:

Add both "x" coordinates, divide by 2

Add both "y" coordinates, divide by 2

M=(xA+xB/2,yA+yB/2)

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Martin is starting a new job. During training, he will earn $16 per hour. Once he starts, Martin will earn $20 per hour. What is the percent of change in Martin's pay from training to actually working?

Answers

Answer:

25%

Step-by-step explanation:

percent change = (new value - old value)/(old value) × 100%

percent change = (20 - 16)/(16) × 100%

percent change = 25%

Which equation can she use as statement 5? (3x + 24):3x = 85:51 (3x + 24):85 = 51:3x (3x + 24):51 = 3x:85 34:24 = 3x:51.

Answers

The equation that she can use as statement 5 is c) (3x + 24): 51 = 3x: 85.

To prove that x = 12, Dora must first prove that the segments ST and RQ are parallel. This can be done by showing that the angles formed by their intersection are congruent.

Since the angles, QRT and STP are congruent (statement 2) and the angles SPT and QPR are congruent (statement 3), the Triangle-Angle Angle Similarity Postulate can be applied to show that triangle SPT is congruent to triangle QPR (statement 4).

Now, the corresponding sides of the two triangles must be in proportion in order to prove that x = 12. For this, Dora can use the equation (3x + 24) : 51 = 3x : 85 (statement 5). This equation states that the ratio of the lengths of the corresponding sides of the two triangles is equal to the ratio of 3x to 51 and 3x to 85, respectively.

Since the ratio of the sides of the two triangles must be equal, then 3x + 24 must be equal to 85 and 3x must be equal to 51. Solving for x, we get x = 12, proving that if segment ST is parallel to segment RQ, then x = 12.

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The complete question

Look at the figure shown below. Dora is writing statements as shown to prove that if segment ST is parallel to segment RQ, then x = 12.

1.Segment ST is parallel to segment QR

Given

2.Angle QRT is congruent to angle STP

Corresponding angles formed by parallel lines and their transversal are congruent.

3.Angle SPT is congruent to angle QPR

Reflexive property of angles.

4.Triangle SPT is congruent to triangle QPR

Angle-Angle Similarity Postulate

5.?Corresponding sides of similar triangles are in proportion.

Which equation can she use as statement 5?

(3x + 24) : 3x = 85 : 51

(3x + 24) : 81 = 3x : 51

(3x + 24) : 51 = 3x : 85

34 : 24 = 3x : 51

how do i graph this in the image attached?

Answers

The value of the equation is P ( 4 , 4 ) , where P is the point of intersection of the equations

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be represented as A

Now , the value of A is

4x - 2y = 8  

Adding 2y on both sides of the equation , we get

2y + 8 = 4x

Subtracting 8 on both sides of the equation , we get

2y = 4x - 8   be equation (1)

Now , let the second equation be represented as B

Now , the value of B is

y = ( 3/2 )x - 2

On simplifying the equation , we get

2y = 3x - 4   be equation (2)

Now , subtracting equation (2) from equation (1) , we get

4x - 8 - ( 3x - 4 ) = 0

4x - 8 - 3x + 4 = 0

x - 4 = 0

Adding 4 on both sides of the equation , we get

x = 4

Substitute the value of x = 4 in equation ( 1 ) , we get

2y = 8

y = 4

So , the value of x = 4 and y = 4

The equations are plotted on the graph and the point of intersection is the solution to the equation , P ( 4 , 4 )

Hence , the equations are solved

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Why is base e used in exponential functions?

Answers

Base e used in exponential functions because base e is the base rate of growth shared by all continually growing processes which lets us take a simple growth rate.

What does the base represent in an exponential function?

In an exponential function, the base b is a constant. The exponent x is the independent variable in which the domain is the set of real numbers. There are two types of exponential functions, those are exponential growth and exponential decay. In the function f (x) = b^x when b > 1, the function represents exponential growth.

Base e allows us to take a simple growth rate, where all change occurs at the end of the year, and find the influence of compound, continuous growth, where every nanosecond or faster, we are growing slightly.

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Somebody help please I don’t understand!!

Answers

Answer:

1) y=0.56x

2)y=5x

3)y= 0.25x

Step-by-step explanation:

1) 2.24/4 = $0.56 (Cost per carton)

2) 15/3=5 ( miles ran per hour)

3) 3/12 = 0.25 (cost per ounce)

If triangles are similar what’s the scale factor

Answers

Answer:

1.5 on edg

Step-by-step explanation:

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles. In Figure 1, Δ ABC∼ Δ DEF. Figure 1 Similar triangles whose scale factor is 2 : 1. The ratios of corresponding sides are 6/3, 8/4, 10/5.

Which of the following equations are true? Select all that apply. A. 24 . 8 ÷ 10 2 = 0 . 248 B. 34 . 65 ÷ 1 , 000 = 0 . 3465 C. 193 . 5 ÷ 10 0 = 193 . 5 D. 6 . 24 ÷ 10 = 62 . 4 E. 160 . 4 ÷ 10 2 = 0 . 1604

Answers

its 'A and C'
you'll get it right with this answer

A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.

Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)
Step 2: m∠w − m∠z = 90 degrees (corresponding angles)
Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z
Step 4: So, m∠x + m∠y = m∠w

In which step did the student first make a mistake and how can it be corrected? (5 points)

a
Step 1; it should be m∠x + m∠y + m∠z = 180 degrees (sum of corresponding angles)

b
Step 2; it should be m∠w + m∠z = 180 degrees (supplementary angles)

c
Step 1; it should be m∠x + m∠y + m∠z = 90 degrees (corresponding angles)

d
Step 2; it should be m∠w + m∠z = 90 degrees (alternate exterior angle)

Answers

Step 2 is the incorrect step and hence d is the correct answer.

What are Adjacent Angles?

The two angles are said to be adjacent angles when they share the common vertex and side. The endpoint of the rays, forming the sides of an angle, is called the vertex of an angle. Adjacent angles can be a complementary angle or supplementary angle when they share the common vertex and side.

Given here: m∠w + m∠z = 90 but this is not true because they are adjacent angles and they lie on a line so they must supplement each other.

m∠w + m∠z = 180

Hence, Step 2 is the incorrect step and hence d is the correct answer.

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How to write perpendicular equations

Answers

Answer:

For example, we know that y = − 1 3 x + 5 y=\frac{-1}{3}x+5 y=3−1x+5 is perpendicular to y = 3 x − 2 y=3x-2 y=3x−2 because 3−1, the new slope, is the opposite reciprocal of 3, the original slope

Step-by-step explanation:

Use the origin as the center of dilation and the given scale factor to find the coordinates of the vertices of the image of the polygon. K = 1/2

Answers

The new coordinates of the polygon are J'(-5/2, 3/2), K'(1, 3/2), L'(1, -3/2), M'(-5/2, -3/2).

What is transformation?

Transformation is the movement of a point in the coordinate plane. Types of transformation are reflection, rotation, translation and dilation.

Dilation is the enlargement or reduction in the size of a figure by a scale factor.

Given the coordinates of polygon J(-5, 3), K(2, 3), L(2, -3), M(-5, -3). For a dilation with a scale factor of 1/2, the new coordinates are:

J'(-5/2, 3/2), K'(1, 3/2), L'(1, -3/2), M'(-5/2, -3/2).

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If p is inversely proportional to the square of q, and p is 20 when q is 7, determine p when q is equal to 2.

Answers

Answer:

p is 245 when q is equal to 2

----------------------------------

p is inversely proportional to the square of q:

p = k/q², where k- coefficient of proportionality

p is 20 when q is 7, substitute:

20 = k/7²

Find the value of k:

k = 20*7² = 20*49 = 980

Determine p when q is equal to 2:

p = 980/2² = 980/4 = 245

Write the rule for the linear function shown in the table I’ll give brainliest

Answers

The linear function is y=-2x+5

What is the solution

Answers

the solutions for a system of equations is where the graphs of each equation meet or intersect.

for the picture above with two parallel lines, well, the lines are parallel and apart from each other, that means they never meet or intersect, and since they never intersect, they have no solution.

What is the measure of 90,and measureof the inscribe angle

Answers

Answer: 45 degrees

Step-by-step explanation:

By the inscribed angle theorem, the measure of an inscribed angle is half the measure of the intercepted arc. The measure of the central angle ∠POR of the intercepted arc ⌢PR is 90°. Therefore, m∠PQR=12m∠POR =12(90°) =45°.

Please help meee !?!,,,

Answers

Answer:

$3

Step-by-step explanation:

$13.99 is for one hour and one hour is for 3 children. This means they paid a total of 3 hours.

$13.99 * 3 = $41.97 for admission alone

Now our total is $50.97

Let's subtract that from admission to find sock price in total

$50.97-$41.97 = $9

Again, 3 children and each for a pair, so lets divide that $9 by 3 for each child.

$9/3 = $3

The box-and-whisker plot below represents some data set. What is the value of the upper quartile?

Answers

The value of the upper quartile is 24.

What is quartile calculation method?

This method is used to divide a data set into four equal parts and find the values of the quartiles.

To calculate the upper quartile, we first need to find the median (the middle value) of the data set.

This question involves the use of the quartile calculation method.

This can be done by arranging the data in numerical order and finding the middle value.

In this case, the median value is 20.

The upper quartile is then calculated by finding the median of the values above the median.

In this case, the values above the median are 22, 24, 28, and 30.

To find the upper quartile, we need to calculate the median of these values.

This is done by arranging the values in numerical order and finding the middle value, which is 24. Therefore, the upper quartile is 24.

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A recipe calls for 3½ pounds of sauce. How much sauce will be required to make 1/3 of the recipe?​

Answers

3/3 cups + another 1/3 cups. So 4/3 cups.

A four-sided figure is resized to create a scaled copy. The proportional relationship between any given side length in the original figure, f, and the corresponding side length in the scaled copy, s, can be represented by the equation s can be represented by s= 11 over 2​ f. What is the constant of proportionality from side lengths in the original figure to side lengths in the scaled copy

Answers

Constant of proportionality from side lengths in the original figure to side lengths in the scaled copy = 2/11

What is proportion?

Proportion is a mathematical comparison between two numbers.  According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other. Proportions are denoted using the symbol  "::" or "=".

Given,

f is the length of side of original figure

And s be the side of copied figure

f ∝ s

⇒ f = ks       --------(a)

where k is constant of proportionality

Proportion between side of original figure and its copy is such that

s = (11/2)f

f = (2/11)s      -----------(b)

comparing equation (a) and (b)

k = 2/11

Hence, 2/11 is constant of proportionality from side lengths in the original figure to side lengths in the scaled copy.

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The probability of spinning an odd number, flipping heads, then spinning a yellow is

Answers

The probability of spinning an odd number, flipping heads, then spinning a yellow is of 1/9.

How to obtain a probability?

A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The probabilities for each case in this problem are given as follows:

Odd number: 2/3. (2 out of 3 regions in the spinner are odd numbers, 1 and 3).Heads: 1/2. (fair coin, equally as likely to be heads or tails).Spinning a yellow: 1/3.

The events are independent, hence the probability is obtained multiplying each probability as follows:

p = 2/3 x 1/2 x 1/3 = 1/9.

Missing Information

The complete problem is given by the image shown at the end of the answer.

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At the end of a snow storm, Nolan saw there was a lot of snow on his front lawn. The temperature increased and the snow began to melt at a steady rate. The depth of snow on Nolan's lawn, in inches, can be modeled by the equation S=-1.75t+14,S=−1.75t+14, where tt is the time, in hours, after the snow stopped falling. What is the yy-intercept of the equation and what is its interpretation in the context of the problem?

Answers

Answer:

r

Step-by-step explanation:

e

A vase is in the shape of a cone. The height is 12 inches and the diameter is 4.4 inches.

What is the lateral surface area to the nearest tenth of a square inch

Answers

The lateral surface area of the cone is:

A = 84.3 in²

How to get the lateral surface area of the vase?

We know that for a cone of height H and a radius R, the lateral surface area is given by the formula:

A = pi*R*( √(H² + R²))

Where pi = 3.14

Here the height is 12 inches, and the diameter is 4.4 inches, then the radius is:

R = 4.4i/2 = 2.2 in

Then the lateral surface area is:

A = 3.14*2.2in*( √((12in)² + (2.2in)²))

A = 84.3 in²

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hi please help me I’ll do the Brian list thing!!!


A set of eight cards were labeled with S, U, B, T, R, A, C, T. What is the sample space for choosing one card?
Os={A, B, C, R, S, U}
Os = {A, B, C, R, S, T, T, U}
Os = {A, U}
Os={T}

Answers

It is (a,b,c,r,s,t,t,u) Explanation; it would be a biased set if you left out a card, such as ABC(you are leaving out the other cards)

A magician asks a volunteer to think of two different positive integers without telling her what they are. She then asks him to calculate x, the sum of the larger number with the square of the smaller, and y, the difference between the numbers. The volunteer tells her that x = 9 and y = 3. Find the original numbers.

Answers

Answer: 2 and 5.

Step-by-step explanation: We can use algebra to solve for the original numbers. Let's call the smaller number "a" and the larger number "b". From the information given, we know that:

x = b + a^2

y = b - a

The volunteer tells the magician that x = 9 and y = 3. So we can use these values to create a system of equations:

b + a^2 = 9

b - a = 3

To solve for the original numbers, we can first add the two equations together to eliminate b:

a^2 + 2a + 2 = 12

a^2 + 2a = 10

a^2 + 2a - 10 = 0

(a + 5)(a - 2) = 0

This tells us that the two solutions for a are -5 and 2. But since a is a positive integer, we know that it must be 2.

We can now substitute this value of "a" back into the original equations to find "b":

b + a^2 = 9

b + 2^2 = 9

b + 4 = 9

b = 5

So the original numbers are 2 and 5.

need help with math tyyy

Answers

Answer:

The answer is D!

the answer would be d, they are looking for wrong charts, a,b, and c are all factors le by their corresponding numbers

Makena deposited the following
amounts in her savings account last
month: $6.74, $5.21, $5.53, and $3.52.
Divide the sum by 30 to find the average
amount she saved per day for the month.
Show your work.

Answers

Makena deposited $0.70 per day.

What is Average?

In mathematics, the middle value—which is determined by dividing the sum of all the values by the total number of values—is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.

Given:

The savings account last month: $6.74, $5.21, $5.53, and $3.52.

Makena deposited $6.74,$5.21,$5.53 and $3.52 in her saving account.

To find the average amount she saves per day.

We add all the deposited savings

= ( 6.74 + 5.21 + 5.53 + 3.52)

= $21.031

Now, Makena Saved per day for the month = $21.031/30

                                                                        =$0.70

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Is there a factor on this pls help Questiob : 5x ^ 2 - 8x + 9​

Answers

Answer:

(5x - 3)(x - 3)

Step-by-step explanation:

Yes, the expression "5x^2 - 8x + 9" can be factored.

One way to factor it is to find the two numbers that multiply to give 9 (the constant term) and add to give -8 (the coefficient of x). These two numbers are 3 and -3.

We can use these two numbers to factor out the common factor (x - 3) from the expression:

5x^2 - 8x + 9 = (5x^2 - 8x) + 9

= (5x^2 - 8x + 9) - 9 + 9

= (5x^2 - 8x + 9) - (3x - 3x)

= (5x - 3)(x - 3)

So the fully factored form of the expression is (5x - 3)(x - 3)

So, (5x - 3) and (x - 3) are the factors of the expression "5x^2 - 8x + 9"

Identify the equation of the line graphed
A
B
C
D
A. x + 2y = -2
B.
x-2y = 2
C. 2x + y = -1
D. 2x-y = 1

Answers

ANSWER: a) x + 2y = -2

First lets look at the line and find the equation in slope intercept form

It intercepts at the Y-axis at (0, -1)
You can take two points and use slope point form to find the slope.
The slope is -1/2 so the equation is y = -1/2x - 1

Now all thats left to do is to put it into standard form. Or do it the other way around and put standard form into slope intercept form.

You should get a) x + 2y = -2
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Shoulder and cervical symptoms can be sometimes difficult to distinguish. Question 1 options: True False ________ cash flows arise from intracompany and intercompany receivables and payments while ________ cash flows are payments for the use of loans and equity. As he entered the Burger Shack, featuring 30 different types of burgers, Carlton selected the one featured on the front of the menu. Carlton used the _______ route of persuasion. M1 is a spherical mass (25.0 kg) at the origin. M2 is also a spherical mass (10.6 kg) and is located on the x-axis at x = 94.8 m. At what value of x would a third mass with a 19.0 kg mass experience no net gravitational force due to M1 and M2? f the Fed conducts an open-market sale, bank reserves _____, and the money supply is likely to _____. decrease; decrease increase; increase increase; decrease decrease; increase Which statements regarding multiple referral are true Chapter 1"You know, hardly anyone ever needs to do a three-point turn anymore," said Justin, trying to help Becky calm down."Oh, so it's not a useful skill AND I am probably going to fail the driving test because I can't do it anyway," Becky said, raising her voice for emphasis. "That should make me feel like a million bucks when I flunk."Justin was riding with Becky so she could take her driving test. He had volunteered for the job because he thought she would be less nervous with him than with their mom, but so far, he wasn't sure he was making any difference."Slow down, your turn is coming up here," he said, looking ahead."I know, I know," she replied, "I've been here before rememberthe last time I flunked."Justin was pretty sure if he had let her miss the turn, things would only have deteriorated further, but he wasn't sure he was fond of being the scapegoat for Becky's anxiety."Listen, you need to take a few deep breaths," he said, hoping he could help her at least relax a bit. "Being nervous won't help you with the three-point turn or anything else you have to do. Hey, did you just take that turn without your turn signal on?" This was going to be harder than he thought."Stop yelling at me," Becky replied, clearly frustrated, "I can't concentrate.""Look, you need to stop and get yourself together here," Justin started. "It is not just about passing the driving test. I don't want to get in an accident, so pull into that parking lot."Becky drove into the office building's parking lot where Justin was pointing. Justin knew they were less than a mile from the licensing office, and if she continued in this condition, he'd be having this same discussion three months from now when she tried the test again for the third time."You need to get a grip," he started after she put the car in park, "because you have studied and practiced driving all year. You know this stuff inside and out, backwards and forwards. What are you so nervous about?""I don't know, I don't know," Becky wailed, resting her head on the steering wheel. "I just get so tired of failing."Listening quietly as Becky sobbed, Justin realized this was about much more than a driving test. He also knew if he didn't find a way to help Becky things would just get worse.Chapter 2Justin took a deep breath and collected his thoughts. Becky was an unbelievably consistent straight-A student. It was Justin who got the bad grades in school, and Justin who had to repeat every math class he'd ever taken. It was Justin who wished he could get the grades Becky got. Some things came easier for Justin: He was athletic, handy with tools, and good at making the best of whatever life threw at him. Mom called him her "lemons into lemonade" kid. But for the most part, Becky succeeded easily, whereas Justin had to work and work to just get a passing grade.Rather than having Becky catalogue all the things she supposedly "failed" at, Justin decided to try an alternative approach, one that wouldn't remind him of all the ways he had failed."Okay, Becky, let's assume for a moment you fail this test again. What is the worst thing that could happen?" he asked."I would be the oldest kid at school without a license and be humiliated," she replied. Justin thought he heard a bit of panic in her voice but continued with his plan."Yes, but won't we still have to drive to school together for at least one more year anyway?" he asked."Yes, but..." she started."And who will know, if you don't tell anyone except your friends, that you don't have your license? You know Mom can't afford another car just for you, right?""Yes," she said quietly."So what difference does it make, really," he said. "Another three months to wait in the grand scheme of your life doesn't seem like all that long, right?""I suppose not," she said.Justin could tell she was breathing more slowly now. "Besides," he said, "I would miss all the practice driving with you," and for good measure he reached over and pinched her arm."Ow," she said, hitting back at him, "that hurt.""So let's go do this, okay?"Okay," she said. Becky cranked up the car, backed slowly out of the parking spot and drove up to the parking lot's exit. Justin noticed, as they waited for the traffic to clear, that she had remembered the turn signal.Read this line from Chapter 1:"Stop yelling at me," Becky replied, clearly frustrated, "I can't concentrate."What is a synonym for concentrate? Focus Listen Mind Obsess While many white men in the colonies lacked the right to vote, they influenced public life by:_____. HURRY PLEASE!!!!!!Jarrett splits his bag of j jelly beans into two equal piles and gives one pile to his brother. He then gives his brother seven more beans. Write an algebraic expression to represent the number of beans his brother has? Pleas help me guys Fast urgently Which is the graph of the inequality?5y+x>10Number graph ranging from negative twenty to twenty in increments of two on the x and y axes. A dotted line with a positive slope is drawn in the fourth quadrant of the graph. The area above the line is shaded gray.Number graph ranging from negative ten to ten on the x and y axes. A solid line passes through (negative one, zero) and (zero, three). The area to the left of the line is shaded gray.Number graph ranging from negative twenty to twenty in increments of two on the x and y axes. A solid line passes through (zero, negative fourteen) and (two, zero). The area to the right of the line is shaded gray.Number graph ranging from negative ten to ten on the x and y axes. A dotted line passes through (zero, negative two) and (five, negative three). The area above the line is shaded gray. The experience curve concept :__________a) is most important for specialized or customized production. b) is a result of a combination of learning effects and economies of scale. c) suggests that unit manufacturing costs decline by a certain amount each time output is doubled. d) suggests that achieving low costs allows a firm to charge a premium price. e) is a result of a combination of learning effects and economies of scale and suggests that unit manufacturing costs decline by a certain amount each time output is doubled. HELP ASAP LIKE RIGHT NOW Please help me put them in correct place Like architecture, which other art also involves people, place and activity over the course of time? 1. What do you think is the main concern of the poet? Q #2. Consider a closed economy with the following equations C = 200+ 0.16Y I = 800 - 40 r G = 1000 L = 0.5Y - 60 r M/P= 700 tax rate = 0.50 (where, C = consumption, I = investment, G = government spending, L = demand for money, real money supply. Yd= disposable income, Y = output/income, r interest rate) find a) Autonomous spending. A (2 point). The author is thinking of adding one of these sentences to the end of the passage. Which sentence contains a fallacy Georgia is trying to add variety to her workout plan. Which combination is MOSTessential for her to create an effective exercise program?O weight-loss and mental health goalsO high intensity classes and high energy sportsO cardio and strength training activitiesgym training and at-home workoutsPls help asap The mental category created for a sound in language is called a , and the way it sounds when it is actually produced by the mouth is called the .