Anyone with a very strong knowledge of vectors in mathematics??​

Answers

Answer 1

Answer:

yes, Send me your questions


Related Questions

Convert and round off to 3 decimal places a.1 235 m to km b.0,032 m to mm c.635 g to kg d.0,775 l to ml e.3,25kl to l f. 24,5 km to m g.63,8 ml to l h.2,3 tons to kg i.32 450 500 mg to kg j.7 623 cm to m

Answers

a. 1 235 m = 1 235 m * (1 km / 1000 m) = 1.235 km (rounded to 3 decimal places)

b. 0,032 m = 0.032 m * (1000 mm / 1 m) = 32 mm (rounded to 0 decimal places)

c. 635 g = 635 g * (1 kg / 1000 g) = 0.635 kg (rounded to 3 decimal places)

d. 0,775 l = 0.775 l * (1000 ml / 1 l) = 775 ml (rounded to 0 decimal places)

e. 3,25 kl = 3.25 kl * (1000 l / 1 kl) = 3250 l (rounded to 0 decimal places)

f. 24,5 km = 24.5 km * (1000 m / 1 km) = 24500 m (rounded to 0 decimal places)

g. 63,8 ml = 63.8 ml * (1 l / 1000 ml) = 0.0638 l (rounded to 3 decimal places)

h. 2,3 tons = 2.3 tons * (1000 kg / 1 ton) = 2300 kg (rounded to 0 decimal places)

i. 32 450 500 mg = 32 450 500 mg * (1 kg / 1000000 mg) = 32.4505 kg (rounded to 4 decimal places)

j. 7 623 cm = 7 623 cm * (1 m / 100 cm) = 76.23 m (rounded to 2 decimal places)

For Halloween you bought a bag of 500 pieces of mixed candy. After just one hour you see that you only have 350 pieces left for the rest of the evening. What is the percentage change in candy after that first hour?a. -25%b. -35%c. -15%d. -30%

Answers

She has 480 pieces of candy left after Halloween (option a ) -25% percentage

to solve this problem we have to analyze the information given:

Candy available: six 100-piece bags

Number of children: 20

Pieces of candy for each child: 6

So, we have to calculate the total amount of candy available by multiplying the pieces of candy that each bag has (100) by the number of bags(6)

100 x 6 = 600

Then, we have to multiply the number of children (20) by the number of pieces of candy that each one receives (6) and then subtract that number to the number of pieces of candy available.

20x 6 = 120

600 -120 = 480

She has 480 pieces of candy left after Halloween (option a ) or -25 percentage

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what’s the square root of 50, 147,96 and -8 square root 16

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The value that a number produces when it is multiplied by itself is known as the square root of the number. The square root is denoted by the radical sign. For instance, 16 Equals 4. The root symbol or surds is another name for the radical symbol.

How do you calculate the square root?

The result of multiplying a number by itself yields its square value, while the square root of a number can be found by looking for a number that, when squared, yields the original value. It follows that a a = b if "a" is the square root of "b."

The square root of 50 is 7.07106781187.

The square root of 147 is 12.124355653

The square root of 96 is 9.79795897113

The square root of -8 is 2.82842712475i

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Arts and Crafts An arts and craft supply store has a large crate that

contains brass, silver, and copper beads. Several friends take turns

pushing their hands into the beads, grabbing one, recording the bead

type, and placing the bead back into the crate. They then repeat the

process. The table shows the count for each bead type. Write a

probability model for choosing a bead.

Dlhrann-

Enter your

Answers

The probability of p(copper)=0.28

Probability model for choosing a bead?

Probability is a measure of the likelihood or chance that an event will occur, expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur. Probability is a fundamental concept in mathematics, statistics, and science that is used to quantify uncertainty and forecast the likelihood of future events based on available data. Probability is a measure of the likelihood or chance that an event will occur, expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur.

Given

Total Beads =112+96+192=400

Placing the bead back to the crate

so the total beads are always 400

copper:112

p(copper)=112/400=0.28

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A university student completed courses worth 3 credits and some courses worth 4
credits. The student earned a total of 54 credits after completing 15 courses. How
many courses worth 4 credits did the student complete?

Answers

9 courses for 4 credits.

Use a system of equations. Let’s say that the number of courses worth 3 credits is X and the number of courses worth 4 credits is Y.

The total number of courses the student took was 15, so X+Y=15.

Each X course was worth 3 credits each and each Y course was worth 4 credits each, for a total of 54, so 3X+4Y=54.

I’m going to take the first equation and solve it for X so I can plug it in to the second equation.

X=15-Y.

Now, plug it in to the second equation to solve for Y.

3(15-Y)+4Y=54

1. Distribute what’s inside the parenthesis.

45-3Y+4Y=54

2. Combine like terms.

45+Y=54

3. Subtract 45 from both sides.

Y=9

This is the answer on the assignment question I think

Answers

Answer: you got it right

Step-by-step explanation:

Does someone mind helping me with this problem? Thank you!

Answers

Answer: the answer is 180 km.

Step-by-step explanation:

Answer:

180 km

Step-by-step explanation:

1 cm to 20 km

9cm=20 times 9

180 kilometers

Molly is building a model roller

coaster as part of a school project.

She chose the Millennium Force in

Cedar Point, which is 94 meterstall,

to model. If Molly uses a scale of

1 centimeter - 4 meters, what will

be the height of the model?

Your answer

Answers

The height of the model is 2350 cm or 23.5 m.

The concept used in this calculation is scale modeling. In scale modeling, the size of an object is reduced or increased proportionally to match a specified scale.

The height of the roller coaster is being reduced using a specific scale ratio of 1 centimeter to 4 meters. This allows Molly to build a model that represents the real-life roller coaster, but at a smaller size.

The height of the Millennium Force in meters is 94 meters. If Molly uses a scale of 1 centimeter to 4 meters, then 1 meter will be equal to 100/4 = 25 centimeters.

So, the height of the model will be 94 x 25 = 2350 centimeters.

Thus, the height of the model is 2350 cm or 23.5 m.

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The Millennium Force in Cedar Point, which is 94 meters tall. The height of the model will be 94 meters / 4 meters per centimeter = 23.5 centimeters.

Molly is building a model roller coaster that is based on the Millennium Force in Cedar Point, which is 94 meters tall. To create a model of the roller coaster, she is using a scale of 1 centimeter to 4 meters. This means that for every 1 centimeter on the model, it represents 4 meters in the actual height of the roller coaster.

To find the height of the model, we need to divide the actual height of the roller coaster by the ratio of meters per centimeter. That is:

Height of the model = 94 meters / (1 centimeter / 4 meters)

Height of the model = 94 meters * 4 meters / 1 centimeter

Height of the model = 376 meters / 1 centimeter

Height of the model = 376 centimeters

So, the height of the model is 376 centimeters.

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Find the area if a triangular region whoe bae i 90m long and the correponding altitude i 40m long

Answers

The area of the triangular region is 1800 square meters.

The area of a triangular region can be calculated by multiplying its base by its corresponding altitude and dividing by 2.

Given a triangular region with a base of 90 m and a corresponding altitude of 40 m, the area of the region can be calculated as follows:

Area = (Base * Height) / 2

Area = (90 * 40) / 2

Area = 3600 / 2

Area = 1800 square meters

Therefore, the area of the triangular region is 1800 square meters.

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The area of the triangular region is 1800 square meters.

The area of a triangular region can be calculated by multiplying its base by its corresponding altitude and dividing by 2.

Given a triangular region with a base of 90 m and a corresponding altitude of 40 m, the area of the region can be calculated as follows:

Area = (Base * Height) / 2

Area = (90 * 40) / 2

Area = 3600 / 2

Area = 1800 square meters

Therefore, the area of the triangular region is 1800 square meters.

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100 POINTS!!!
Find the equation of the linear function represented by the table below in slope-intercept form.

x y

1 0

2 5

3 10

4 15

Answers

sorry sweetheart!! we need to see the table!

Kendra has been saving her earnings from mowing the neighborhood lawns. She has 80 dollars and wants to spend it all on games.

If each game costs 9 dollars, how many can Kendra buy?

Answers

Kendra can only buy 8 games

in each of the following scenarios, state what type of distribution should be used to model the response y: binomial, multinomial, poisson, or normal.

Answers

The total number of respondents and x would be the total number of respondents who rate the product a 5.

A survey asking respondents to rate a product on a scale of 1 to 5

In this scenario, a binomial distribution should be used to model the response y. A binomial distribution is a discrete probability distribution that is used to model the probability of a certain number of successes in a given number of trials. The formula for a binomial distribution is P(x) = nCx * p^x * (1-p)^(n-x) where n is the number of trials, x is the number of successes, and p is the probability of success in a single trial. In this case, n would be the total number of respondents and x would be the total number of respondents who rate the product a 5.

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Geometry 1 find the measure of the angle

Answers

Answer:

46

Step-by-step explanation:

draw a line at 96° & make it parallel to bottom line

which will slice 96° into 2 angles

lower half is 180-130=50

top half is 96-50=46

angle 4r equals to top half

What are the measures of angles AB and C show your work and explain your answers? I really only need the answer to C please :) this is my first post so giving as much as I can to people who answer. PLEASE ANSWER SOON

Answers

The measure of angles becomes:

∠a = 30°

∠b = 60°

∠c = 105°

What is triangle?

Three vertices make up a triangle, a three-sided polygon. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

∠a and 30° are vertical angles and vertical angles are equal

∠a = 30°

We have a triangle with a, b and a right angle. Triangles have angles that add to 180°.

∠a + ∠b + 90° = 180°

30° + ∠b + 90° =180°

120° + ∠b = 180

∠b = 180° - 120°

∠b = 60°

Angle c and 70 form a straight line and straight lines are 180 degrees

∠c + 75° = 180°

∠c = 180° - 75°

∠c = 105°

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On January 22 in 1943, the town of Spearfish, South Dakota, set the record for the world’s fastest temperature change. At 7:30 a.m., the temperature was -4°F. By 7:32 a.m., the temperature was 45°F. By 9:00 a.m. the same day, the temperature was 54 °F. By 9:27 a.m., the temperature was -4 °F. How many degrees did the temperature change each minute from 9:00 to 9:27?

Answers

From 9:00 a.m. to 9:27 a.m., the temperature changed from 54°F to -4°F, a change of 58°F. This change took 27 minutes.

The temperature change per minute was 58°F / 27 minutes = 2.15°F per minute.

find the horizontal and vertical asymptotes of the curve. y = 3 + x4 x2 − x4

Answers

The horizontal asymptote of the curve y = 3 + x^4 / x^2 - x^4 is y = 1 and the vertical asymptotes are x = +√(x^4) and x = -√(x^4).

How to find the  horizontal and vertical asymptotes of the curve?

To find the horizontal and vertical asymptotes of the curve y = 3 + x^4 / x^2 - x^4, we need to examine the behavior of the function as x approaches positive and negative infinity.

For the horizontal asymptote, we look at the behavior of the function as x approaches positive and negative infinity. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is the ratio of the leading coefficients of the numerator and denominator. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptotic.

According to question:

In this case, the degree of the numerator (x^4) is equal to the degree of the denominator (x^4), and the leading coefficients are both 1. Therefore, the horizontal asymptotic is the ratio of the leading coefficients, which is y = 1.

For the vertical asymptote, we look for any x-values that make the denominator equal to zero, since the function is undefined for these values. In this case, x = +√(x^4) and x = -√(x^4) are the roots of the denominator, so they are the vertical asymptotes.

Therefore, the horizontal asymptote of the curve y = 3 + x^4 / x^2 - x^4 is y = 1 and the vertical asymptotes are x = +√(x^4) and x = -√(x^4).

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a few months ago, mike and dez started a dog walking business. for each dog that they have agreed to walk, they recorded the total time (in hours) they walked that dog over a one-week period. these values are given below. use the calculator to draw a histogram for these values using 5 classes. 1.6,4.0,4.7,1.6,2.5,2.2,0.6,2.0,3.0,2.6 what percentage of their dogs are walked at least 1.5 hours but under 4.2 hours per week? (round your answer to the nearest percent.)

Answers

You can easily find the percentage of dogs that are walked at least 1.5 hours but under 4.2 hours per week by counting the number of data values in the appropriate class and dividing by the total number of data values, then multiplying by 100.

How you can create a histogram?

Determine the range of the data: 0.6 to 4.7.

Divide the range by the number of classes (5) to find the class width: (4.7 - 0.6) / 5 = 0.76.

Determine the lower limits of each class by starting at the minimum value (0.6) and adding the class width repeatedly: 0.6, 1.36, 2.12, 2.88, 3.64, 4.4.

Count the number of data values that fall into each class and record it in a table.

Draw a bar for each class using the lower limit of the class as the x-axis value and the height of the bar equal to the number of data values in the class.

After creating the histogram, you can easily find the percentage of dogs that are walked at least 1.5 hours but under 4.2 hours per week by counting the number of data values in the appropriate class and dividing by the total number of data values, then multiplying by 100.

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May you Please help me

Answers

The given coordinates make a right angled triangle.

What is scaling? How is it done?

Scaling is defined as the process of changing the dimensions of the original figure as per some specific proportional rule.

If the initial length is equivalent to {a}. Then, after the scaling by the scale factor of {K}, the length becomes {Ka}. Similarly, if the initial coordinates are (x, y) then after scaling the coordinates would be {Kx, Ky}.

Scale factor is a dimensionless quantity that tells by how much time a specific dimension of a figure is enlarged or reduced. Mathematically, it is the ratio of two similar quantities. In case of length scaling, we can write -

{K} = L{final}/L{initial}

Given are the coordinates of the triangle as -

P(-1, 3)

Q(9, - 1)

R(-3, - 2)

The distance formula is given as -

d² = (x₂ - x₁)² + (y₂ - y₁)²

PQ = 2√29

QR = √145

RP = √29

QR² = RP² + PQ²

145 = 29 x 4 + 29

145 = 145

Therefore, the given coordinates make a right angled triangle.

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Write the equation of the line of best fit using the slope-intercept form of the line ?=??+? , show all your work , including the point used to determine the slope and how the equation was determined.

Answers

y = x is the linear regression equation for the given Dot plot.

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. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given, a graph of a linear regression that has points (60, 60) and (70, 70) as we can see in the graph.

From the general formula of the linear equation:

Y = mx + b

where m is the slope

b is the y-intercept

Slope m = (y₂ -y₁)/(x₂ - x₁)

In our case,

Slope = (70 - 60)/70 - 60

m = 10/10 = 1

Thus the equation of a line:

y = x + b

Since, the line goes from (60, 60)

60 = 60 + b

b = 0

Thus, the final equation of the line will be y = x

Therefore, the linear regression equation for the given Dot plot is y = x.

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Percy thinks that since the data {5, 0, 4, 0, 0} has a mode of 0, the data has no mode.

Using 3-5 sentences, critique Percy's reasoning.

Answers

The reasoning of Percy is incorrect because there is one mode for the data set.

What is Mode?

Mode of a data set is the value that occur most frequently in a data set.

There may be no mode, one mode or more than one mode for a data depending on the number of times values are repeating.

Given data is {5, 0, 4, 0, 0}.

Here the value 0 is repeating three times.

No other number has repeated three times.

So there is only one mode for the data set and is 0.

This does not mean that there is no mode for the set.

A data set has no mode if and only if all the numbers in the set are repeated same number of times.

Hence the reasoning of Percy is incorrect.

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Find mqn

Please help me

Answers

70 degrees is the measure of MQN from the provided figure.

Solving angles in a line geometry.

A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions.

From the given figure, we are to determine the measure of angle <MQN. Applying the sum of angles on a straight line:

<MQN + 80 +30 = 180

<MQN + 110 = 180

<MQN = 180 - 110

<MQN = 70 degrees

Hence the measure of <MQN from the given figure is 70 degrees.

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Refer to the T-account below Work In Process 30,000 (12) Bal. 270,000 90,000 70,000 0,000 Entry (12) could represent which of the following? (9)110,000 Bal A) Direct labor cost incurred in production B) Purchases of raw materials C) The cost of goods manufactured transferred to Finished Goods D) The cost of indirect materials incurred in production

Answers

The correct option answer is C , that is Entry 12 represents The cost of goods manufactured transferred to Finished Goods

Given that, the T-account below Work In Process 30,000 (12) Bal. 270,000  90,000  70,000  110,000

We have,  Total work in progress (WIP) before Transfer =

                           30,000 + 90,000 +70,000 + 110,000 = $300,000

And the ending work in progress (WIP)  = 30,000

It clearly means that 270,000 (300,000 - 30,000) of goods has been transferred to finished goods inventory.

Therefore, the balance entry represents that the cost of goods manufactured transferred to Finished Goods.

The required question's table of T-account is attached below.

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Which of the following functions are solutions of the differential equation y′′+2y′+1y=0 ?
A. y(x)=−x
B. y(x)=e^-x
C. y(x)=xe^x
D. y(x)=e^x
E. y(x)=xe^−x
F. y(x)=−e^x
G. y(x)=0

Answers

Option (B) and (E) functions are solutions of the differential equation y′′+2y′+1y=0.

What is differential equation?

An equation known as a differential equation describes the derivative or derivatives of an unknown function. Because they are equations involving a function and its derivatives (where the variable is a function rather than a number) (the functions obtained by differentiating it). Save this response. Common differential equations are used in everyday life to compute the flow of electricity, the motion of an item back and forth like a pendulum, and to illustrate the principles of thermodynamics. Additionally, in medical terminology, they are employed to graphically monitor the progression of illnesses.

Given that,

y′′+2y′+1y = 0

A.E = m² + 2m + 1 = 0

or, (m + 1)² = 0

or, m = ± 1

y = (c₁ + c₂x)e⁻ˣ

y = c₁e⁻ˣ + c₂xe⁻ˣ

Thus, option (B) and (E) are solutions  of the differential equation:

y′′+2y +1y = 0.

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(−5/6x−7/12)−(−1/3x−1/4) . the slashes are fractions PLS ANSWER FAST

Answers

Answer:

That's what I got, not sure but I tried so I hope it helps.

Parallelogram ABCD is plotted on a coordinate plane. The coordinates of point A are (-3, 5). Point B is at (1, 2), and point C is at (2, -4). What are the coordinates of the fourth vertex D

Answers

The coordinates of vertex D are (-3 + 1, 5 - 6) = (-2, -1).

What is parallelogram?

A parallelogram is a quadrilateral that has its opposite sides parallel and equal to each other. It has its interior opposite angles equal. Also, the angles on the same side of the transversal sum up to 180 degrees or are supplementary to each other.

To find the fourth vertex of a parallelogram given the coordinates of three vertices, we can use the property that opposite sides of a parallelogram are parallel and equal in length.

If we subtract the vector AB from the vector AC, we obtain the vector AD, which gives us the coordinates of the fourth vertex D.

AB = (1 - (-3), 2 - 5) = (4, -3)

AC = (2 - (-3), -4 - 5) = (5, -9)

AD = AC - AB = (5 - 4, -9 + 3) = (1, -6)

Therefore, the coordinates of vertex D are (-3 + 1, 5 - 6) = (-2, -1).

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In a game, Mateo earned 180 points for collecting stars. He earned 270 points for
lestroying ships. Plus, he earned 5 points for each prisoner he saved. If he finished
he game with 500 points, how many prisoners did he save?
A
50
B 10
C) 15
D 250
ht©Swun Math
6.EE.6
SWUN MATH
6.EE.7
Grade 6 Unit 5 Mid-Unit Assessment VB, Page 1

Answers

Answer:

B. 10

Step-by-step explanation:

We can solve this fast by adding the points from the stars and ships together, then subtracting that number from the total 500 points Mateo earnd.

So it would look like this:

180+270=450

500-450=50

So if Mateo scored 50 points from saving prisoners and save is worth 5 points each, we can do 50÷5=10.

When multiplying an equation so that you can cancel one of the variables, be certain to multiply both sidesof the equation. For instance, multiplying the above equation incorrectly would yield
:--1.5x -1.5y = 40, which would give you very incorrect values when you tried to solve for x and y.
Part D Now, add the two equations and find the value of x.
Express your answer to three significant figures.
ANSWER

Answers

The two equations would be 1.5x + 2.5y = 30, 3x + 1.5y = 40, when we add both the equations we get, 4.5x + 4y = 70, and the value of x is 10.

How to solve the linear equation in two variables?

To solve a system of linear equations in two variables using the substitution in two variables using the substitution method. First solve one of the equations for one variable. Substitute this in the other equation in terms of a single variable. Then solve it for the variable. Now, substitute it in any of the equations to get the value of another variable.

Given:

Add the two equations together:

1.5x + 2.5y = 30

3x + 1.5y = 40

(1.5x + 3x) + (2.5y + 1.5y) = (30 + 40)

4.5x + 4y = 70

Isolate the x-variable by subtracting 4y from both sides of the equation:

4.5x + 4y = 70

4.5x + 4y - 4y = 70 - 4y

4.5x = 70 - 4y

Divide both sides of the equation by 4.5 to solve for x:

4.5x = 70 - 4y

4.5x/ 4.5 = (70 - 4y)/4.5

x = (70 - 4y) / 4.5

Substitute the value of y from the first equation:

1.5x + 2.5y = 30

2.5y = 30 - 1.5x

y = (30 - 1.5x) / 2.5

Substitute the value of y into the equation for x and solve:

x = (70 - 4y) / 4.5

x = (70 - 4((30 - 1.5x) / 2.5)) / 4.5

x = 10

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Rabbits in a lab are to be kept on a strict daily diet that includes 34 grams of​ protein, 17 grams of​ fat, and 47 grams of carbohydrates. The scientist has only three food mixes available with the following grams of nutrients per unit.

Answers

Each​ rabbit needs 4 units of protein, 2 units of fats, and 3 units of carbohydrates for the dietary need.

Given that

Mix A: 6 protein, 4 fat, 2 carbs

Mix B: 4 protein, 2 fat, 6 carbs

Mix C: 5 protein, 2 fat, 8 carbs

Now convert these mixes into quadratic equations

6a + 4b + 5c = 47--------(1)

4a + 2b + 2c = 26--------(2)

2a + 6b + 8c = 44-------(3)

Now divide (2) and )3) equations by 2:

6a + 4b + 5c = 47

2a +  b +  c = 13------(4)

a + 3b + 4c = 22--(5)

Eliminates A:

Pairs equations #4 and #5

6a + 4b + 5c = 47

2a + b + c = 13  

Now multiply -3 for Equation(4) and after add with Equation (1):

6a+4b+5c=47

-6a -3b-2c = 39  

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

b + 2c = 8

Pairs equations (4) and (5):

2a + b + c = 13

a + 3b + 4c = 22

multiply -2 for Equation(5) and after add with Equation (4):

2a + b + c = 13

-2a-6b -8c =44

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

-5b+-7c=-31

multiply everything by -1

5b+7c=31

2 by 2 system from equations above in bold:

b+2c=8

5b+7c=31

solves by substitution:  b = 8 - 2c

5(8 - 2c) + 7c = 31

40 - 10c + 7c = 31

40 - 3c = 31

-3c = -9

c = 3

Then b = 8 - 2(3) = 8 - 6

b=2

Simplified second equation:  2a+b+c=13

2a+2+3=13

2a=8

a = 4

Therefore, A=4 B=2 C=3

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Susie's mom is keeping track of how many pieces of candy Susie and her four brothers are eating. The information is graphed below. At what rate is the amount of candy changing? A. -75 pieces of candy per day B. 90 pieces of candy per day C. -90 pieces of candy per day D. 75 pieces of candy per day

Answers

The rate of change for a graph passing through (0, 0) and (2, -180) is -90 pieces of candy per day

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on

The slope intercept form of a linear equation is:

y = mx + b

where m is the rate of change and b is the y intercept

Let y represent the total pieces of candy remaining after x days. Let us assume that the graph passes through (0, 0) and (2, -180). Hence:

[tex]Slope(rate\ of\ change) = \frac{y_2-y_1}{x_2-x_1}\\ \\substituting:\\\\slope=\frac{-180-0}{2-0} =-90[/tex]

The rate of change is -90 pieces of candy per day

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the first three terms of a sequence are given. round to the nearest thousandth (if necessary). 156,153,150,...156,153,150,... find the 46th term.find the 46th term.

Answers

The first term of the sequence is 156. Then the 46th term of the sequence is 156.

What are sequence and series?

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after. In mathematics, a series can be generally described as the sum of an infinite sequence of values.

Given

The first three terms of a sequence are shown.

156,153,150 and so on.

The given sequence is repeating every three terms, and the repeating terms are 156, 153, 150.

So, to find the 46th term, we need to determine which set of repeating terms it belongs to.

Dividing 46 by 3 gives us a quotient of 15 with a remainder of 1, meaning the 46th term belongs to the 16th set of repeating terms and will be the first term in that set, which is 156.

So, the 46th term of the sequence is 156.

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The first term of the sequence is 156. Then the 46th term of the sequence is 156.

What are sequence and series?

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after. In mathematics, a series can be generally described as the sum of an infinite sequence of values.

Given

The first three terms of a sequence are shown.

156,153,150 and so on.

The given sequence is repeating every three terms, and the repeating terms are 156, 153, 150.

So, to find the 46th term, we need to determine which set of repeating terms it belongs to.

Dividing 46 by 3 gives us a quotient of 15 with a remainder of 1, meaning the 46th term belongs to the 16th set of repeating terms and will be the first term in that set, which is 156.

So, the 46th term of the sequence is 156.

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