Are 5x and 5 like terms?

Answers

Answer 1

The statement given here is true as 5x and 5 are like terms.

This is because like terms have the variables of same degree . Therefore, 5x and x are like terms as both of them have x to the power 1 , which means both are of degree 1.

Like terms differs from the unlike terms only in case of numerical component.  By summing the coefficients of  like terms , similar phrases can be regrouped. Like terms in a polynomial equation are those terms  that have the same variables and these variables have the same powers, but with different coefficients.

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Related Questions

What y-intercept means?

Answers

A line's x-intercept as well as y-intercept are the points at which the x- and y-axes, respectively, are crossed.

Now, According to the question:

Let's know:

Definition of Intercept

The term "intercept" refers to the location where a line and curve crosses an graph's axis. The x-intercept would be the point at which the x-axis gets crossed. The y-intercept would be the point at which the y-axis becomes crossed.

The x- as well as y-axis intersection point gets what is meant when a line has an intercept. The y-axis was often taken into account if indeed the axis is also not stated. The letter "b" can be typically used to represent it.

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NEED HELP ASAP

PLEASE REFER TO PICTURE

Answers

Refer to the attached image.

What do you mean by equivalents?

Answers

The term equivalent means equal or interchangeable in value, quantity, significance, etc.

In math term equivalent is used for the following concepts.

expressionfractionetc.

Here we have to know that the term equivalent refers to two numbers, expressions, or quantities with the same value.

Here there are many ways to express an equivalent quantity and it can be denoted either by a bar or an equivalent symbol.

Here we want to know that the equivalent can also mean some common or logical equivalence between different values or quantities.

Therefore, based on these definition we have identified that the equivalence is similar but not the same as equality.

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The graph of function f is shown. An exponential function with vertex at (1, 3) and passes through (minus 2, 10), (8, 2) also intercepts the y-axis at 4 units. Function g is represented by the equation. g ⁡ ( x ) = 4 ⁢ ( 1 4 ) x + 2 Which statement correctly compares the two functions? A. They have the same y-intercept but different end behavior. B. They have different y-intercepts and different end behavior. C. They have the same y-intercept and the same end behavior. D. They have different y-intercepts but the same end behavior.

Answers

Answer:

Without being able to see the graph, it is not possible for me to accurately compare the two functions. Is it possible for you to provide more information about the functions or the graph?

Answer:

Step-by-step explanation:

graph please

I need help please! In each case below, list the lettered measures for angles or sides in descending order (FROM GREATEST TO LEAST).

Answers

Answer:

β, α, γ

Step-by-step explanation:

The figure only shows us the side lengths of the triangle, but is asking for the angles.

Thus, we have to use the angle relationships of a triangle to answer the question.

⭐What are the angle relationships of a triangle?

the angle opposite of the largest side is the largest anglethe angle opposite of the smallest side is the smallest angle

α° is opposite of the side length with 9 cm.

β° is opposite of the side length with 12 cm.

γ° is opposite of the side length with 5 cm.

∴ The angles from highest to the least are β, α, γ

IF THIS RESPONSE HELPED YOU, PLEASE MARK IT THE BRAINLIEST :-)

Answer:

Step-by-step explanation:

The answer should be BAY but if i check it don't work

Me resuelven está 2 porfa

Answers

a) Each person would receive 1/6 of the cake

b) If there are 49 balls in total and each person is to get seven balls, How many persons can share the balls?

What is the problem?

We know that we can be able to make us of the principles of algebra so as to be able to obtain the problems that we have to deal with in the question that appears in the image that is attached.

Given that we have the total amount of the cake as 2 1/2 and then we are told that there are 15 persons in the class thus the amount that everyone should receive would be x.

2 1/2 = 15 x

5/2 = 15x

5 = 2 * 15x

x = 5/2 * 15

x = 1/6

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vanessa will sell yogurt for $2.50 a cup fill in the table to show how much money Vanessa will make if she sells 19 cups of vanilla yogurt

Answers

answer: 47.5 cups

Step-by-step explanation:

2.50 x 19 = answer

hi, can someone please help me

Answers

this is your proper answer

hii, how are you

Answer:

15

Step-by-step explanation:

Let the total number of beads be x

[tex]\because\: \frac{3}{8}[/tex] of the beads are blue.

& Total number of blue beads = 9

[tex]\rightarrow\: \frac{3}{8}\times x= 9[/tex]

[tex]\rightarrow\: x= \cancel{9}\times\frac{8}{\cancel{3}}[/tex][tex]\rightarrow\: x=3\times 8[/tex]

[tex]\rightarrow\: x=24[/tex]

Number of purple beads = 24 - 9 = 15

Which set of ordered pairs (x, y) could represent a linear function?
A = {(-2,5), (0, 3), (2, 1), (5,-2)}
B = {(2,9), (4,5), (5,2), (6,0)}
C = {(-3,-8), (0,-4), (3,-1), (6,2)}
D = {(-2,3), (0, -1), (2,-4), (4,-7)}

Answers

B. all the x’s are different meaning it could represent a linear function. hope this helps!

Find the area of the haded region. Give your anwer a a completely implified exact value in term of π (no approximation). Chapter Reference b A 1 cm 1 cm 3 cm C O B D P

Answers

The shaded region has a surface area of 7π.

What is area?

The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina. The total space occupied by a flat (2-D) surface or the form of an item is defined as its area. Draw a square on a sheet of paper using a pencil. It is a two-dimensional figure. The area of the form on the paper is referred to as its Area. Consider your square to be made up of smaller unit squares.

Here,

find the area of the circle with radius =3 cm,

then subtract the areas of the two circles with radius 1 cm

pir^2 = the area of a circle with radius = r

=pi(3)^2 -pi(1)^2 - pi(1)^2

= 9pi -pi-pi

= 9π-2π

= 7π

The area of shaded region is 7π.

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The coordinate of A i -9 and the coordinate of C i 12. The ditance between A and B i 1/3 of AC. What i the coordinate of B?

Answers

The cordinate of point B is -2.

To find the coordinate of point B, we need to determine its distance from point A and then add that distance to the coordinate of point A. We are given that point B lies on a number line between points A and C, and that the distance between A and B is 1/3 of the distance between A and C.

First, we'll find the distance between points A and C. We know that the coordinate of A is -9 and the coordinate of C is 12. To find the distance between these two points, we simply subtract the coordinate of A from the coordinate of C. So, 12 - (-9) = 21. This tells us that the distance between points A and C is 21 units.

Next, we'll use this information to find the distance between points A and B. We know that this distance is 1/3 of the distance between A and C, so we'll multiply 21 (the distance between A and C) by 1/3. 21 * 1/3 = 7. This tells us that the distance between points A and B is 7 units.

Finally, we'll add this distance to the coordinate of point A to find the coordinate of point B. Since A is at -9, B is at -9 + 7 = -2. Therefore, the coordinate of B is -2.

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Can you form a triangle with side lengths 8 9 and 17?

Answers

No, you cannot form a triangle with side lengths 8, 9, and 17. The sum of any two sides of a triangle must be larger than the remaining side. 8 + 9 = 17, which is not larger than 17.

1. A triangle is a three sided polygon with three angles and three sides.

2. In order to form a triangle, the sum of any two sides of the triangle must be larger than the remaining side.

3. To test if a triangle can be formed with side lengths 8, 9, and 17, we need to add two of the sides together and see if the result is larger than the remaining side.

4. 8 + 9 = 17, which is not larger than 17, so a triangle cannot be formed with side lengths 8, 9, and 17.

5. Therefore, you cannot form a triangle with side lengths 8, 9, and 17.

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Select the interval where f is negative.

Answers

Answer: A

Step-by-step explanation:

Based on the graph, we know that it is negative if it is under the x-axis. It is also indicated by the negative labels.

A: correct

Looking at choice A, it says the interval is from -4<x<-2. This means we have to find x=-4 and x=-2. On the graph, that interval is below the x-axis, so it is negative.

B: incorrect

Looking at choice B, it says the interval is from -1<x<1. This means we have to find x=-1 and x=1. On the graph, that interval is above the x-axis, so it is positive, not negative.

C: incorrect

Looking at choice C, it says the interval is from 2<x<4. This means we have to find x=2 and x=4. On the graph, that interval is above the x-axis, so it is positive, not negative.

Therefore, A is the correct answer.

What is the relationship between xzw and wzv on a vertical angle?

Answers

The relationship between xzw and wzv on the vertical angle is as follows:

∠ xzw + ∠ wzv = 180

How to find the relationship between angles?

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles share the same vertex and they are congruent to each other.

Therefore,

∠vzy ≅ ∠wzx(vertical angles)

Hence, the relationships between angles xzw and wzv  is as follows:

∠ xzw + ∠ wzv = 180 (sum of angles on a straight line)

3x + 17 + x - 9 = 180

4x + 8 = 180

4x = 180 - 8

4x = 172

x = 172 / 4

x = 43

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PLEASE HELP ASAP. I WILL GIVE BRAINLIEST!!!

Which of the following is not an expression


A. 7 - 5x
B. 2 + 3x = 8
C. x/2 + 1
D. 2x + 6

Answers

B because it’s the only one with an equal sign

Answer:

B) 2 + 3x = 8

Step-by-step explanation:

Option B is not an expression as expressions do not have equal signs.

An object is moving at a speed of 11 yards every 6 months. Express this speed in centimeters per hour.

Answers

Speed of the given object in centimeters per hour

= 0.23 cm / hour

What is unit conversion?

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.

Like 1 yard = 91.44 cm

1 month = 730 hrs.

Distance covered by the object = 11 yards

Distance covered in cm = 11 × 91.44 = 1005.84 cm

Time taken to cover 11 yards = 6 months

Time taken in hours = 6 × 730 = 4380 hrs.

Speed of the object = distance covered by the object / Time taken

Speed of the object = 1005.84/4380 = 0.2296 ≈ 0.23 cm per hour

Hence,  in centimeters per hour,

the speed of the object is 0.23 cm / hour.

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What kind of angle is ∠ ABC Why?

Answers

Angle sum of three angles of ABC triangle must be equal to 180 degrees.

What is angle and triangle?

Angle is the space between two intersecting lines or surface or at close to the point where there ends point meet.

A triangle is a polygon that has three straight sides and three angles.

What kind of angle is a ABC why?

Let, ABC is a triangle. The angles in this triangle can be different types.

All angles in ABC can be lies between 90 degrees and that time triangle is called acute triangle. If ABC has one right angle, then this is termed as right-angled triangle.

If one of the angles is measured greater than 90 degrees, the triangle is called obtuse triangle.

if we find all angles in ABC triangle is equal to 60 degrees, this is termed as equilateral triangle.

But for each triangle, the sum of three angles must be equal to 180 degrees.

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What is the value of the expression 4x 3 x )+ 5x x 2 for x 3?

Answers

The value of the given expression 4x(3-x)+5x(x-2) when x = -3 is 3.

What are expressions?

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations.

A number is 6 more than half of the other number, which is x.

This statement is represented by the mathematical equation x/2 + 6.

So, we have the expression:

4x(3-x)+5x(x-2)

Now, the value of the expression when x = -3.

Insert values and calculate as follows:

4x(3-x)+5x(x-2)

4(-3)(3-(-3))+5(-3)((-3)-2)

-12(6)-15(-5)

-72 + 75

3

Therefore, the value of the given expression 4x(3-x)+5x(x-2) when x = -3 is 3.

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Correct question:

What is the value of the expression 4x(3-x)+5x(x-2) for x=(-3)​?

Function rules from equations
For a given input value q, the function f outputs a value r to satisfy the following equation.
11g 4= 3r6
Write a formula for f(g) in terms of q.
f(q) =
Stuck? Review related articles/videos or use a hint.
Report a problem

Answers

On solving the provided question, we can say that - 11g +4= 3r-6 the value of this equation is -10/3

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

11g +4= 3r-6

g = 0

3r = -10

r = -10/3

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Jackie runs and dances for a total of 55 minutes every day. She dances for 25 minutes longer than she runs. Part A: Write a pair of linear equations to show the relationship between the number of minutes Jackie runs (x) and the number of minutes she dances (y) every day. (5 points) Part B: How much time does Jackie spend running every day

Answers

Jackie spends 15 minutes running every day.

Part A: The relationship between the number of minutes Jackie runs (x) and the number of minutes she dances (y) every day can be represented by the following pair of linear equations:

Equation 1: x + y = 55 (This equation represents the total amount of time Jackie spends running and dancing every day, which is 55 minutes)

Equation 2: y = x + 25 (This equation represents the relationship between the number of minutes Jackie runs and the number of minutes she dances, which is that she dances 25 minutes longer than she runs)

Part B: To find out how much time Jackie spends running every day, we can substitute the second equation into the first equation:

x + (x + 25) = 55

2x + 25 = 55

2x = 30

x = 15

Therefore, Jackie spends 15 minutes running every day.

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Y=4x-4 two step function table

Answers

x     y   is the two-step function table of the given linear equation

0    -4

1     0

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

given an equation y  = 4x -4

Use the slope-intercept form to find the slope and y-intercept.

y = mx + c

m =4

c = -4

Slope = 4

The slope of the line is the value of m, and the y-intercept is the value of b.

y-intercept  : (0, -4)

x-intercept where y = 0 : (1, 0)

Therefore, the table of the two-step functions is Written below.

x     y  

0    -4

1     0

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Solve the system by graphing

2x-3y=-6

7x-3y=9

Answers

Following is the graph of two given equations.

The mapping of functions of two variables onto a Cartesian coordinate system, which is made up of a horizontal x-axis, or abscissa, and a vertical y-axis, or ordinate, is done analytically through the use of graphs. The intersection of each axis, which is a real number line, at its zero point is known as the origin.

On solving the two equations,

2x-3y=-6                              ....(1)

7x-3y=9                               .....(2)

Firstly we will find common points by elimination -

The common points are - (3,4)

Then We can find all the values of equation (1)

2x-3y=-6                          

x    0      3    -3

y    2      4     0

7x-3y=9

x    0      3    10

y   -3      4    20.33

The respective graph is attached below

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Write an equation using the explicit formula to represent each graph or scenario then rewrite the formula in function form

Answers

The exponential function's y-intercept is 3, while the linear function's y-intercept is 20. The y-intercept for each is obtained by substituting 0 for x in each case.

what is equation ?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

given

The first function is linear, with a y-intercept of 20, and a slope of 4:

S(x)=4x+20

The second function is exponential and has a multiplier of 2 and an initial value of 3:

J(x)=3(2)x

The game number for each function is represented by x, while the score for each game is represented by y. Each has a domain of 0, 1, 2, 3, 4, 5, 6, 7 and 8.

The exponential function's y-intercept is 3, while the linear function's y-intercept is 20. The y-intercept for each is obtained by substituting 0 for x in each case.

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The game starts at 1830. They play four eight minute quarters, and half-time lasts for thirty minutes. What time should you tell your parents to pick you up? Give your answer in both 12 and 24 hour clock notation

Answers

Therefore , the solution to the given problem of time comes out to be the time to pick up by your parents is 7:32.

What is time?

the idea that time was the fourth dimension and that space and time were therefore inseparably connected. According to his general theory of relativity (opens in new tab), the mass and momentum of adjacent matter influence how much space-time enlarges and compresses.

Here,

Given : The game starts at 18:30

Thus,

They play for eight minutes quarters and half time last for 30 minutes.

So,

To find the time to pick up by your parents:

=> 8*4 + 30

=> 32 + 30

=> 62

Thus time after 62 minutes is 7:32

Therefore , the solution to the given problem of time comes out to be the time to pick up by your parents is 7:32.

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Jina is running. The number of minutes she has run varies directly with the number of calories she has burned. See the graph below.
How many calories is Jina burning per minute ?
What is the slope of the graph ?

Answers

The number of calories Jina is burning per minute is 0.1 and the slope is 0.1

How many calories is Jina burning per minute?

From the question, we have the following parameters that can be used in our computation:

Points, (x, y) = (0, 0) and (150, 15)

The burning rate per minute can then be calculated as

Burning rate per minute = (y₂ - y₁)/(x₂ - x₁)

Substitute the known values in the above equation, so, we have the following representation

Burning rate per minute = (15 - 0)/(150 - 0)

Evaluate the quotient

Burning rate per minute = 0.1

What is the slope of the graph?

In (a), we have

Burning rate per minute = 0.1

This rate is the same as the slope

Hence, the slope is 0.1

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Chapter 3 Lesson 4 Arithmetic Sequence

Answers

Answer:

Step-by-step explanation:

1) 1,15,29,43,57,.....

here, 15-1 =14 and 29-15=14

therefore,it is an arithmetic sequence with common difference = 14

2) 3,6,9,15,17,....

here, 6-3=3, 9-6=3 , 15-9=6

therefore,it is not an arithmetic sequence.

3) 93,86,79,72,65,......

here, 86-93=-7 , 79-86=-7 and 72-79=-7

therefore,it is an arithmetic sequence with common difference = -7

4) 37,34,31,29,26,......

here, 34-37 = -3,31 - 34 = -3,29 - 31 =-2

therefore,it is not an arithmetic sequence.

A lawyer charges $500 to be put on retainer for a client. The lawyer also charges an hourly rate of $75 for work done. a.Identify the fixed cost (the constant).b. Identify the independent variable (x). c. Identify the dependent variable (y). d.Write an equation that describes the situation above.

Answers

The answer will start with 500 USD. For every hour, 75 USD is charged. We can multiply 'x' to 75 USD which will represent the amount of hours. The equation will now become, 'y = 75x + 500'. In most cases, like this one, y will represent the total cost. Here are the answers.

a. 75USD

b. x (amount of hours)

c. y (total cost)

d. y = 75x + 500

Hope I understood what you were asking and if not I'm really sorry <3

3.) In a proportional relationship, y=2 when x = 8. Which of the following equations would describe this relationship? (1) y=1/4x (2) y = 4x (3) y=x-6 (4) y =1/2x-2​

Answers

The correct option is y=1/4x.Because it holds the directly proportional relationships.

What is directly proportional?

Two values x and y are said to be directly proportional to each other when the ratio x:y always remains the same. Directly proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.

How do you find if an equation is a proportional relationship?

A relationship is proportional if each pair of data values are related in the same way by multiplying by a factor. You can recognize a proportional relationship by looking at data.When two quantities x and y are in direct proportion then they are written as x ∝ y. Symbol “∝” stands for 'is proportional to'.

NOW we find

according to directly proportion

y∝x

y=kx

y/x=k

2/8 =k

1/4 =k

Now we get

y = 1/4x

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A body accelerate from ret and cover a certain ditance in a certain time. Uing thi information, dervive the four equation of a uiformly accelerated motion

Answers

The four equations of uniformly accelerated motion are:

[tex]v = u + at\\s = ut + (1/2)at^2\\v^2 = u^2 + 2as\\v = u + 2as/t[/tex]

What is uniformly accelerated motion?

Uniformly accelerated motion is motion in which the acceleration is constant. The four equations of uniformly accelerated motion are:

[tex]v = u + at[/tex], where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.[tex]s = ut + (1/2)at^2[/tex], where s is the distance traveled, u is the initial velocity, a is the acceleration, and t is the time.[tex]v^2 = u^2 + 2as[/tex], where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance traveled.[tex]v = u + 2as/t[/tex], where v is the final velocity, u is the initial velocity, a is the acceleration, s is the distance traveled and t is the time.

These equations are derived from the basic kinematic equations of motion which relate velocity, acceleration, distance and time.

The first equation is a result of the definition of acceleration.

The second one is derived from the first equation and the definition of distance.

The third one is derived from the first and second equation by squaring the first equation and then solving for v^2.

The fourth equation is derived by dividing the distance traveled by the time taken.

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HELPPP!!!!

Option A: You are given $100 on the first day and then receive $10 each day for the month of February.

Option B: You are given one cent on the first day and that amount will double each consecutive day for the month of February.

Write a function rule to represent the total amount earned with Option A.

Write a function rule to represent the amount of money you will have earned with Option B.

Answers

Answer:

For Option A, the function rule would be:

totalAmountEarned(days) = 100 + 10*days

For Option B, the function rule would be:

totalAmountEarned(days) = 2^days

Step-by-step explanation:

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How did Europe reflect a mosaic of independent competing states? Economists believe that somelevel of unemployment isnatural and necessary for agrowing economy. This level ofunemployment is known aswhich of the following?A. natural rate of unemploymentB. average unemploymentC. necessary unemployment How do you know if you add or subtract in elimination? The doctor lands his tardis on a planet whose radius is 1. 2x10^7m the acceleration due to gravity is 18m/s^2. What is the mass of the planet Ways to calculate an average include _____ The statements below refer to the design and operation of the power sub-system on a spacecraft. Select all those statements that are correct.Partial credit is available for each correct answer. Select only those statements you know to be correct because negative marking is appliedwithin this question (although it is not possible to get a negative mark for the question overall).Radioisotope Thermoelectric Generators (RTGS) are commonly applied to earth-orbiting spacecraft to provide power for the eclipse periodwhen the solar panels are ineffective.Jupiter is considered the approximate limit for solar-powered orbital missions; missions to planets beyond this will require RadioisotopeThermoelectric Generators (RTGS).When sizing solar arrays, the area required typically has to be factored up as the temperature decreases because the cells operate lessefficiently when cold.A spacecraft designed to operate in orbit at Mars will require generally require significantly smaller solar arays than one designed foroperation at Earth.When sizing solar arrays, the area required must be factored up to allow for the array efficiency to decrease with time due to degradation.When sizing solar arrays, the area required typically has to be factored up as the temperature increases because the cells operate lessefficiently when warm.Radioisotope Thermoelectric Generators (RTGS) have many moving parts, which limits their reliability for long-duration missions.For a spacecraft in planetary orbit, power for the eclipse period is commonly provided by a battery as a secondary power source, and anincreased solar array area to give extra power to charge the batteries whilst not in eclipse. Assume (1) estimated fixed manufacturing overhead for the coming period of $200,000, (2) estimated variable manufacturing overhead of $2.00 per direct labor hour, (3) actual manufacturing overhead for the period of $320,000, (4) actual direct labor-hours worked of 54,000 hours, and (5) estimated direct labor-hours to be worked in the coming period of 55,000 hours. The predetermined plantwide overhead rate for the period is closest to:A) $5.82B) $5.70C) $5.93D) $5.64Could I also have a step by step explanation please? Why was the building of the Brooklyn Bridge of importance to New Yorkers?a. It would bring significantly more visitors to New York City.b. It simplified travel between Brooklyn and Manhattan.c. It was the first major landmark of the New York City skyline.d. It brought more foreign investment to New York City. How do you identify a participle and a gerund in a sentence? The start of an arithmetic sequence is shown below.Work out the nth term Work out the 30th term in this sequence.4 - 13 - 22 - 31 You need to put equation signs in between the 6. 1 gross = 144 Where are earthquakes and volcanoes most likely to occur a wall in marcus's bedroom is 8 2/25 feet high and 16 2/3 long. If he paints 1/2 the wall blue how many square feet will be blue Select the correct answer.Which of the following conditions might prevent a dead body from going through the normal stages of lividity?O A. muscular stateO B. weather conditionsO C.poisoningOD.state of rigor mortisO E.insect activity What are the 15 types of angles? 6) The area of a triangle is A = bh-2. If the base (b) is H untis and theheight (h) Is 7 units, what is the area of the triangle?I At an archeological site, the remains of two ancient step pyramids are congruent . If ABCD cong EFGH find each of the following . (Diagrams are to scale. ) Hi! I need Help With The Bottom Answers Someone Already Answered The Top So Just The Bottom Questions! Which two sets of lines in this excerpt from Thomas Hardy's "The Darkling Thrush" signify hope in the midst of despair?I leant upon a coppice gateWhen Frost was spectre-gray,And Winter's dregs made desolate The weakening eye of day. The tangled bine-stems scored the skyLike strings of broken lyres,And all mankind that haunted nighHad sought their household fires.The land's sharp features seemed to beThe Century's corpse outleant,His crypt the cloudy canopy,The wind his death lament.The ancient pulse of germ and birthWas shrunken hard and dry,And every spirit upon earthSeemed fervourless as I.At once a voice arose amongThe bleak twigs overheadIn a full-hearted evensongOf joy illimited;An aged thrust, frail, gaunt, and small,In blast-beruffled plume,Had chosen thus to fling his soulUpon the growing gloom. Math A 6. 0 kg bowling ball traveling at 2 m/s strikes a 1. 5 kg bowling pin. Describe and compare the forces that act on the bowling ball and the bowling pin during the collision.