passes through the points (−4, 2) and (12, 6)?

Answers

Answer 1

I'll assume you need to find the equation of the line that passes through those points.

Answer:

\(\displaystyle y-2=\frac{1}{4}(x+4)\)

Step-by-step explanation:

Equation of a Line:

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

\(\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)

The given points are (-4,2) and (12,6), thus:

\(\displaystyle y-2=\frac{6-2}{12+4}(x+4)\)

Operating:

\(\displaystyle y-2=\frac{4}{16}(x+4)\)

Simplifying, the equation in point-slope form is:

\(\mathbf{\displaystyle y-2=\frac{1}{4}(x+4)}\)


Related Questions

jill has 15 feet ribbion how many yards ribbon does she have

Answers

Answer:

Step-by-step explanation

You would take 15 ft and divide it by how many feet are in a yard which is 3.

Answer - Jill has 5 yards of ribbon

Answer:

5 yards

Step-by-step explanation:

every 3 feet are 1 yard... 15 feet divided by the 3 = 5 yards

DUE TODAY ASAP!! Megan has $50 and saves $5.50 each week. Connor has $18.50 and saves $7.75 each week. After how many weeks will Megan and Connor have saved the same amount?


Include step by step explanation for brainliest.

Answers

If Megan has $50 and saves $5.50 each week. Connor has $18.50 and saves $7.75 each week. Then after 14 weeks Megan and Connor have saved the same amount.

What is Equation?

Two or more expressions with an equal sign is called as equation.

Let  x=the number of weeks

For Megan we have:

50+5.5x

For Connor we have:

18.50+7.75x

Let us equate Megan's and Connor to have same amount.

50+5.5x=18.50+7.75x

Let us take variables on one side and numbers on other side.

50-18.50=7.75x-5.5x

31.5=2.25x

Divide both sides by 2.25

x=14

Hence after 14 weeks Megan and Connor have saved the same amount.

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Someone pls help me ill give out brainliest pls don’t answer if you don’t know

Someone pls help me ill give out brainliest pls dont answer if you dont know

Answers

Answer:

= 15.10 is the answer.

Step-by-step explanation:

The missing value is 15.2 and 15.10 couldn't replace it because the decimal number of 15.10 is higher than the decimal of 15.2.

In testing the equality of population proportions using chi-square, how many categories or populations do you need to be able to perform this analysis? at least 2 at least 4 greater than 3 at least 3

Answers

In testing the equality of population proportions using chi-square, at least 3 categories or populations need to be able to perform this analysis

Now, According to the question:

A chi-square test for equality of two proportions is exactly the same thing as a z-test. The chi-squared distribution with one degree of freedom is just that of a normal deviate, squared. You're basically just repeating the chi-squared test on a subset of the contingency table.

The chi-square test is used to compare more than two independent populations. The test is pretty similar to that of two population proportions except for the fact that the contingency table involved in the study includes 2 rows and c number of columns indicating the number of populations.

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Why is there an equation of a line?

Answers

Equations' true strength is in their ability to explain numerous aspects of the world in a highly accurate manner.

The set of points that make up a line in a coordinate system are represented algebraically by a line's equation.

An equation of a line is an algebraic expression that represents the many points that together make up a line in the coordinate axis as a set of variables, x, and y.

We may determine whether a given point lies on a line using the equation of any line. The line's equation is a linear equation of degree one. The slope of the line and a point on the line can be used to create the equation of a line.

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How do you write the algebraic expression 6 less than the quotient of 32 and a number y

Answers

Answer:

( 32/y ) - 6

Step-by-step explanation:

okay so quotient means the result obtained by dividing one quantity by another and the problem that follows that is 32 and a number, y

this is meaning that 32 and y and going to be dividing (32/y)

less than means subtraction and the number that's surrounding that is 6.

this means that 6 is going to be subtracted from (32/y)

hopefully this helped! good luck bud <3

Pls help me!!! I don’t know the answer I will give u brainlyest if I get it correct

Pls help me!!! I dont know the answer I will give u brainlyest if I get it correct

Answers

Answer:

C?

Step-by-step explanation:

Is Cccccccccc........

consider the following problem: find two numbers whose sum is 23 and whose product is a maximum.

Answers

The problem is to find two numbers that satisfy two conditions: their sum is 23, and their product is maximized. In other words, we need to determine two numbers that maximize their product while their sum remains constant.

To solve this problem, we can use algebraic reasoning. Let's assume the two numbers are x and y. We know that their sum is 23, so we have the equation x + y = 23. To maximize their product, we can express one variable in terms of the other. Solving the equation for y, we have y = 23 - x. Substituting this value of y in terms of x into the equation for the product, we get P = x(23 - x). This is a quadratic equation in terms of x. To find the maximum product, we can determine the vertex of the parabola represented by the quadratic equation. The x-coordinate of the vertex represents the value of x that maximizes the product. By solving for x, we can then find the corresponding value of y.

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a collection of nickels, dimes, and quarters consist of 70 coins with a total of $ 8.00 . if there are 2 times as many dimes as quarters, find the number of each type of coins.

Answers

The number of each type of coins are as follows:

q = 15 quarters.

d = 30 dimes.

n = 25 nickels.

How to determine the number of each type of coins?

In order to solve this word problem, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Let d represent the number of dimes.

Let q represent number of quarters.

Let n represent number of nickels.

Let T represent total number of coins.

Note: 1 quarter is equal to 0.25 dollar, 1 nickel is equal to 0.5 dollar, and 1 dime is equal to 0.1 dollar.

Translating the word problem into an algebraic equation, we have;

Dimes; d = 2q     .....equation 1.

Nickels; (70 - (q + 2q)) = (70 - 3q)     .....equation 2.

Total coins; T = n + d + q

0.5(70 - 3q) + 2q(0.1) + q(0.25) = 8.00

Multiplying all through by 100, we have:

5(70 - 3q) + 2q(10) + q(25) = 800

350 - 15q + 20q + 25q = 800

350 + 30q = 800

30q = 800 - 350

30q = 450

q = 450/30

q = 15 quarters.

For the number of dimes, we have:

Dimes, d = 2q

Dimes, d = 2(15)

Dimes, d = 30 dimes.

For the number of nickels, we have:

Nickels, n = (70 - 3q)

Nickels, n = (70 - 3(15))

Nickels, n = (70 - 45)

Nickels, n = 25 nickels.

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2 > 8 - 4/3h explain and if you can also graph it on a number line/ open dot closed dot left or right
I ONLY HAVE 20 POINTS AND IM GIVING 20

Answers

The solution of the given inequality is h > 4.5 and it is shown by the blue-shaded line in the number line.

What is inequality?

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

As per the given inequality,

2 > 8 - (4/3)h

Subtract both sides by 2

0 > 8 - 2 - (4/3)h

0 > 6 - (4/3)h

Subtract 6 on both sides,

-6 > -(4/3)h

Multiply by -3/4

-6(-3/4) <-(4/3)(-3/4)h   (since inequality sign changes by multiplying with negative)

h > 18/4

h > 4.5

The plot of this region in the number line is shaded with a blue line.

Hence "The solution of the given inequality is h > 4.5 and it is shown by the blue-shaded line in the number line.".

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2 &gt; 8 - 4/3h explain and if you can also graph it on a number line/ open dot closed dot left or rightI

QUICK HELP PLEASE

7(2z + 5)

Answers

Answer:

Step-by-step explanation:How to solve your question

Your question is

7(2+5)

Simplify

Distribute

7(2+5)

14+35

Solution 14+35

plz mark brainly

x u y = {z l z ∈ x or z ∈ y} is a

Answers

X u y = {z l z ∈ x or z ∈ y} is a valid set builder notation. Yes, this is a valid set builder notation. This specifies the elements of the set.

A set builder notation is a way of expressing a set using a description of its elements. In this particular set builder notation, the set consists of all elements that are either in set x or set y.

The notation is written as {z l z ∈ x or z ∈ y}, where the curly braces denote the set and the statement "z ∈ x or z ∈ y" specifies the elements of the set. This is a valid set builder notation because it correctly expresses the elements of the set.

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Please help me this is due in 20min please!!! i’m suppoes to make a graph of that... please someone.

Please help me this is due in 20min please!!! im suppoes to make a graph of that... please someone.

Answers

Answer:

im assuming this is what you mean considering the little information given.

Step-by-step explanation:

Please help me this is due in 20min please!!! im suppoes to make a graph of that... please someone.

find the solution of the polynomial 2x^2 - 3x

Answers

Answer:

(2x-3)x

Step-by-step explanation:

The question has grouping, for the answer you have to ungroup the problem to get your solution.

Find an equation, in slope-intercept form, that passes through the point (−4,3) with a slope of −3.

Answers

Answer:

y = -3x - 9

Step-by-step explanation:

Equation of line in point slope form is given as:

\(y - y_1 = m(x-x_1) \\

y - 3= - 3\{x - (-4)\}\\

y - 3 = - 3(x + 4)\\

y =- 3x - 12 +3\\

y = - 3x - 9\\ is \: the \: required \: equation \\ \)

Compared to swerving in a straight line, swerving in a curve requires more:TractionAvoid too much leanLoad TriangleUpright

Answers

When swerving, there are a number of factors that come into play, including traction, lean, load triangle, and being upright. Swerving in a straight line can be relatively easy, as the rider only needs to make minor adjustments to maintain balance.

When comparing swerving in a straight line to swerving in a curve, the key differences involve traction and maintaining an appropriate lean angle.
Swerving in a curve requires more traction than swerving in a straight line. Traction is essential for maintaining control of your vehicle, especially when navigating curves. As you swerve in a curve, your tires need to have a good grip on the road surface to prevent skidding or losing control.
Additionally, managing lean angles is more critical when swerving in a curve. To maintain balance and control, you must avoid leaning too much, as it can cause the vehicle to tip over or slide out. In a curve, the lean angle needs to be adjusted appropriately to match the curve's radius, while also considering your speed and road conditions.
In summary, swerving in a curve requires more traction and careful management of lean angles compared to swerving in a straight line. The load triangle and keeping the vehicle upright are important, but they are not the primary factors that make swerving in a curve more challenging than swerving in a straight line.

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Convert 0.0045 to a percent.
Select one:
0.045%
0.45%
4.5%
45%

Answers

Answer: 0.045%

Step-by-step explanation:

Solve the equation for y: x = 2y - 3

Answers

Answer:

\(y = \frac{1}{2} x+\frac{3}{2}\)

Step-by-step explanation:

The frequency table shows the results of tossing a ball 24 times into the four coloured sections on a carnival game Section | number of | Tosses Blue | 3 Green | 5 Red | 12 Yellow | 4 Based on the data on the table, how many times will the ball most likely land in the yellow section when it is tossed 200 times? A. 35 B. 40 C. 50 D. 65

Answers

Answer:

50

Step-by-step explanation:

you toss the ball 24 times, and of those 24 times, it lands 12 times on the yellow section, so 12/24= 0.5

Answer: 50

Step-by-step explanation:

Chris signed-up for an experiment. The experimenter indicated that Chris would be placed into a group with nineteen other students based on a random number Chris received from the experimenter. The experimenter was most likely conducting ________________________-.

Answers

The experimenter was most likely conducting a randomized controlled trial, also known as a randomized experiment.

In this type of experiment, participants are randomly assigned to different groups, such as an experimental group or a control group, to ensure that any observed effects can be attributed to the intervention being tested rather than other factors.

In this case, the experimenter is using a random number to assign Chris to a group with nineteen other students, which suggests that there may be multiple groups involved in the experiment. This type of design is often used in scientific research to test the effectiveness of a new treatment, intervention, or program.

Randomized controlled trials are considered the gold standard in research design because they provide strong evidence for causal relationships between variables. By randomly assigning participants to different groups, researchers can control for confounding variables and ensure that any observed differences between groups are due to the intervention being tested.

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the graph of a function is shown on the coordinate plane below Identify the rate of change of the function​

Answers

The rate of change of a linear function is the slope, which represents by how much y changes when x is increased by one.

How to define a linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which;

The slope m represents the rate of change.The intercept b represents the value of y when x = 0.

Given two points on the graph of the linear function, (a, c) and (b,d), the slope is given by the change in y divided by the change in x, as follows:

m = (d - c)/(b - a).

Missing Information

The problem is incomplete, hence the general procedure to obtain the rate of change is presented.

A linear function is supposed as it is the one with a constant rate of change.

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2 tickets cost 11.00 they bought 2 drinks and used a 5.00 off coupon. the total cost was 29.18 how much was 1 drink​

Answers

After buying tickets and drinks the total cost is 29.18 and using 5.00 off coupon, the cost of one drink is 11.59

As per the question statement, 2 tickets cost 11.00 and they bought 2 drinks and used a 5.00 off coupon. The total cost was 29.18. We are supposed to find out the cost of one drink.

Let the cost of one drink be "x"

Cost of 2 tickets = 11

Off coupon is of 5.00

Cost of two drinks = \(2x\)

Total money paid = 29.18

Hence, \(11+2x-5=29.18\\2x=29.18+5-11=23.18\\x=\frac{23.18}{2} \\x=11.59\)

Therefore the cost of one drink is \(x=11.59\)

This question was a classic example of how to form equations when all the given conditions are in statements.

Algebraic Equation: An equation is when value of something is unknown so we say it as a variable and solve for its value using algebraic operations.

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What measure would be used to compute the average gender of subjects?
a. mean
b. mode
c. median
d. standard deviation

Answers

The measure that would be used to compute the average gender of subjects is the mean. Option a) mean is the correct answer.

The mean is calculated by adding up all of the values in a set of data and dividing by the number of values. In this case, if we assign a value of 0 to represent male and a value of 1 to represent female, we can calculate the mean by adding up all of the values and dividing by the total number of subjects.

However, it is important to note that gender is a binary category and using numerical values to represent it may not be appropriate or respectful. Additionally, the concept of an "average" gender may not be meaningful or relevant in all contexts.

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What are the domain restrictions of q^2−7q−8 divided by q^2+3q−4 ?
o q≠1 and q≠−8
o q≠−1 and q≠8
o q≠−1 and q≠4
o q≠1 and q≠−4

Answers

The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

The 68 students who responded to the awesome survey selected the first letter of their name along with something they like to do in their spare time. The results are shown in the table below.

What is the probability that a randomly selected student likes to read?
Round your answer to the answerest hundreth.

The 68 students who responded to the awesome survey selected the first letter of their name along with

Answers

Answer: 1/4 students

Step-by-step explanation:

PLS HELP!!! WILL GIVE BRAINLIEST :)

PLS HELP!!! WILL GIVE BRAINLIEST :)

Answers

Answer:

1/ We use the SSS method to prove that triangle CBD = triangle ABD

2/ We use the AA method to prove that <CBD equal < ABD

Step-by-step explanation:

1/ SSS, or side side side method, is the method we use to see if triangles are the same or not, and we know that the sides of both triangles are equal; this proves that both triangles are equal!

2/ AA, or Angle Angle method, is the method we use to see if the angles of triangles are the same or not, and we know that there are marks at <C and <A, these marks prove that both angles are equal! So, <CBD equal <ABD

Using the 100/50/20 Rule for daily fluid requirements (DFR). Calculate the following questions, do not round the patient's weight but round all final answers to a whole number. 1-10 kg = 100ml/kg/day 11-20 kg = 50ml/kg/day (+ 1000 mL/day for 1* 10kg) Over 20kg = 20mL/kg/day (1500 mL/day for 1s 20kg) 18. An infant weighs 11 pounds. What is the required amount of fluid per day in ml? I 19. A child weighs 31 lbs and 8 ozs. What is the required amount of fluid per day in ml? If no oral fluids are consumed, what is the hourly IV flow rate to maintain proper hydration?

Answers

18. An infant weighs 11 pounds which is equivalent to 4.98 kg. Using the 100/50/20 Rule, the required amount of fluid per day for an infant between 11-20 kg is 50 ml/kg/day. So, the required amount of fluid per day in ml is 4.98 kg x 50 ml/kg/day = 249 ml/day.

19. A child weighs 31lbs and 8 ozs which is equivalent to 14.21 kg. Using the 100/50/24 Rule, the required amount of fluid per day for a child over 20 kg is 20 ml/kg/day. So, the required amount of fluid per day in ml is 14.21 kg x 20 ml/kg/day = 284.2 ml/day.

If no oral fluids are consumed, the hourly IV flow rate to maintain proper hydration would be: 284.2 ml/day / 24 hours/day = 11.8 ml/hour.

Daily Fluid Requirements (DFR)

The question is about fluid requirements for infants and children, and it is using the 100/50/20 Rule for Daily Fluid Requirements (DFR) to calculate the required amount of fluid per day for different weight ranges. The 100/50/20 Rule is a guideline used to determine the appropriate amount of fluid that infants and children should receive on a daily basis based on their weight. The rule states that for infants and children up to 10 kg, the recommended fluid intake is 100 ml/kg/day, for those between 11-20 kg it is 50 ml/kg/day, and for those over 20 kg it is 20 ml/kg/day.

The question also asking about the hourly IV flow rate to maintain proper hydration if no oral fluids are consumed.

This subject is part of pediatrics, more specifically in the field of fluid and electrolyte balance and management.

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Help me!!!!!!!!!!!!!!!!

Help me!!!!!!!!!!!!!!!!

Answers

Answer:

4(3+x)

Step-by-step explanation:

12+4x = 4(3+x)

: A spherical scoop of vanilla ice cream sits on top of a waffle cone. The diameter of the ice cream sphere is 10 cm while the waffle cone has a diameter of 10 cm at the top and a height of 20 cm. If the ice cream melts at rate of 1.08 cm per second and drips to the waffle cone, how fast is the height of melted ice cream in the cone rising when the cone is 10% full? CHOICES: 0.41 mm per second 1.22 mm per second 1.62 mm per second 0.64 mm per second O

Answers

The correct answer is 1.22 mm per second. The height of the melted ice cream in the cone is rising at a rate of 1.22 mm per second when the cone is 10% full.

This is because the volume of the melted ice cream is increasing at a rate of 1.08 cm per second, and the volume of the cone is 125π cm3. The height of the melted ice cream is therefore rising at a rate of 1.08 cm/s / 125π cm3 = 1.22 mm/s.

The volume of the melted ice cream is increasing at a rate of 1.08 cm per second because the ice cream is melting at a rate of 1.08 cm per second. The volume of the cone is 125π cm3 because the cone has a radius of 5 cm and a height of 20 cm.

The height of the melted ice cream is therefore rising at a rate of 1.08 cm/s / 125π cm3 = 1.22 mm/s.

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Solve the absolute value equations algebraically
|m+4|+7=11

Answers

Answer:

m=0,-8

Step-by-step explanation:

Rearrange this Absolute Value Equation

|m+4|+7 = 11

Another term is moved / added to the right hand side.

|m+4| = 4  STEP 2:

Clear the Absolute Value Bars

The Absolute Value term is |m+4|

For the Negative case we'll use -(m+4)

For the Positive case we'll use (m+4)

STEP3:Solve the Negative Case

     -(m+4) = 4

Multiply

     -m-4 = 4

Rearrange and Add up

     -m = 8   Multiply both sides by (-1)

     m = -8

    Which is the solution for the Negative Case

STEP4:Solve the Positive Case

     (m+4) = 4

Rearrange and Add up

     m = 0

Which is the solution for the Positive Case

STEP5:

Wrap up the solution

m=-8

m=0

Solutions on the Number Line

 Two solutions were found :

m=0,M=-8

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Let f(x,y,z) = x y+z2 e Compute f(4,1,4) and f(7,8, -6).f(4,-1,4)=(Type an exact answer, using radicals as needed.)f(7,8,-6)= DNA is often used in crime television and movies to determine who committed a crime. The question is this: in real life, how much blood, sweat, tears, skin, mucus, or hair would be needed to correctly identify a perpetrator? How long would it take to identify someone? What would it cost? How reliable are the tests currently? What is 10-11What is 20x4What is 72x12What is 124+1234finally what's y=3/4x-3 56=1/2H (6+10) what is H ? Getting money to start and run a business is referred to as obtainingOA. CollateralOB. BusinessOC. CostsOD. Financing Please select the best answer from choices provided.ABCD What is an effective recovery plan for the rehabilitation of endangered species? 9.Which of the following contains one mole of neutrons?A 1g of HB 1g of CC 2g of MgD 2g of Ne Which of the following is a benefit of a tobacco-free life?A.healthier skin and teethB.increased risk of cancerC.increased phlegm productionD.all of the aboveTF CNNBC recently reported that the mean annual cost of auto insurance is 991 dollars. Assume the standard deviation is 237 dollars, and the cost is normally distributed. You take a simple random sample of 40 auto insurance policies. Round your answers to 4 decimal places.What is the distribution of X ? X ~ N(991,237)What is the distribution of x ? x ~ N(,)What is the probability that one randomly selected auto insurance is less than $995? a simple random sample of 40 auto insurance policies, find the probability that the average cost is less than $995. For part d), is the assumption of normal necessary? No Yes Which MUST be present for fat-soluble vitamins to be absorbed?dietary lipids and bilecalcium and intrinsic factordietary lipids and LDLdietary lipids and insulincalcium and LDL Q4. Consider a homogeneous product duopoly with demand curve: P = 90 - 41 - 42 The cost function of Firm 2 is given by cz(92) = 6042 Firm 1 has the opportunity to invest in cost reducing R&D. If Firm 1 does not invest, then its cost function is given by C(q) = 6041 If Firm 1 spends $200 in R&D investment, its cost function becomes (0) = 4501 Firm 1 moves first to choose either not invest in R&D or to invest $200 worth of R&D. Both 2. firms observe Firm 1's first stage decision. Then both firms compete in the product market in the second stage. (a). Solve for the backward induction outcome when both firms compete as Cournot firms (i.e simultaneous quantity game). (b). Solve for the backward induction outcome when both firms compete as Bertrand firms (i.e simultaneous pricing game). hich of the following is an example of an electrolytic cell? select the correct answer below: alkaline battery non-rechargeable battery lead acid battery electric car battery which was the first cooperative of nepal Suppose that 1x/(5+x) = [infinity]n=0cnxn Find the first few coefficients 1. A way of combing visual elements to produce a senes of action - orimplied motion 3. Given: BAM is a right angle. If mBAM=4x+2, then solve for the value of x. True or false?The image is below! If Thomas has 92 donuts and the box requires 3 donuts each box, once each donut is put in the boxes how many donuts would be left over? Explain how the ideas of theEnlightenment and later the rise of powerful nation-states in Europe contributed to the move to Industrialize. What were the major technologies involved? What challenges were brought as a result of the Industrial Revolution and how did society overcome those challenges?