What is the degree of the polynomial 7x 2y 3z 4?

Answers

Answer 1

The degree of a polynomial is the highest power of each variable in the equation. In the polynomial 7x2y3z4, the highest power of each variable is 2 for x, 3 for y, and 4 for z. Therefore, the degree of this polynomial is 8.

1. Identify the highest power of each variable.

For 7x2y3z4, the highest power of each variable is 2 for x, 3 for y, and 4 for z.

2. Add the highest powers of each variable.

2 + 3 + 4 = 9

3. Subtract 1 from the sum.

9 - 1 = 8

4. The degree of the polynomial is the result of the subtraction.

Therefore, the degree of the polynomial 7x2y3z4 is 8.

The degree of a polynomial is the highest power of each variable in the equation. To calculate the degree of a polynomial, you must identify the highest power of each variable and add them together. Then, subtract 1 from the sum to get the degree of the polynomial. For example, in the polynomial 7x2y3z4, the highest power of each variable is 2 for x, 3 for y, and 4 for z. Adding these powers together gives us 9. Subtracting 1 from this sum gives us 8, which is the degree of the polynomial. Therefore, the degree of the polynomial 7x2y3z4 is 8.

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Related Questions

Student perform one trial of a cientific experiment if the reult of that trial do not upport the prediction what hould the tudent do next?

Answers

If the student perform one trial of scientific experiment , and the result of that trial do not support the prediction , then the student should repeat the experiment , modify the experiment and can use alternative Method .

If in the Scientific Experiment the result does not support the prediction of the student in one trial , then the student can :

(i) Modify the Experiment :

The students can modify scientific experiment in other way and try again. For Example, they student change variables being tested or methods used to collect data.

(ii) Use Alternative Explanations :

The students can use alternative explanations for  results. It may be possible that the prediction was correct, but there were other factors  that may influence outcome of experiment.

(iii) Repeat the Experiment :

The student can repeat the experiment by the same procedures to see if he gets same results and if results are consistent, it can concluded that the prediction was incorrect .

The given question is incomplete , the complete question is

Student perform one trial of a scientific experiment if the result of that trial do not support the prediction what should the student do next ?

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If a is 200% of b, what percent of 5a is 4b?

Answers

250% (percent) of 5a is 4b.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100.

here, given that,

a is 200% of b

i.e. a=2b

Now, 5a=10b

So, we have,

5a/4b

=10b/4b

=5/2

=250%

Hence, 250% (percent) of 5a is 4b.

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Sector of a circle has arc length 11cm and central angle. Find its radius and area.

Answers

Answer:

s = 11.cm

Θ = 2.2.radians

Step-by-step explanation:

Help me pleaseeeeeeeee!!!

Answers

0.08/0.2 and 0.2/0.8 are not proportional.

What is proportionality?

A proportion is an equality of two ratios. We write proportions to help us establish equivalent ratios and solve for unknown quantities.

Given are two numbers, 0.08/0.2 and 0.2/0.8

Checking for if they are proportional or not,

0.08/0.2

Multiplying denominator and numerator by 100,

8/20 = 2/5

And,

0.2/0.8 = 1/4

Since, 0.08/0.2 ≠ 0.2/0.8

Hence, 0.08/0.2 and 0.2/0.8 are not proportional.

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A test has a mean of 75 with a standard deviation of 5. Which of the following scores is within one standard deviation of the mean

Answers

The score interval that is within one standard deviation of the mean is

(70 , 80).

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean of the collection.

Some of the properties of the standard deviation are:

1. It cannot be negative

2. It is only employed to calculate the spread or dispersion around a data set's mean

3. It displays the degree of deviation  from the mean value

4. The larger the spread, the more standard deviation, with data of about the same mean.

Given,

 The mean of the test μ = 75

The standard deviation σ = 5

We are asked to find the scores within one standard deviation of the mean.

This means that the scores should be in the interval ( μ - σ , μ + σ )

μ - σ = 75 - 5 =70

μ + σ = 75 + 5 = 80

Therefore the scores should be in the interval = ( 70,80), which is within one standard deviation of the mean.

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x + 2y = -18
-8x + 5y = -24

substitution method

Answers

To solve many simultaneous linear equations, use the substitution method in algebra.

What is substitution method ?

The algebraic technique for resolving multiple linear equations at once is called the substitution method. As the name implies, this method involves substituting a variable's value from one equation into another.

The first stage in the substitution approach is to determine any variable's value in terms of the other variable from one equation. If there are two equations, x+y=7 and x-y=8, for instance, we can deduce from the first equation that x=7-y. The substitution approach is applied in this manner as the first stage.

There are three steps in the substitution technique:

For each variable, solve a single equation.Solve the other equation by substituting (plugging in) this expression.Find the corresponding variable by substituting the value back into the original equation.

Therefore, the answer is x= -2 and y= -8.

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9. Samuel is comparing the average EPA ratings on 4 types of vehicles. He wants to drive a pickup truck, but he can see from the table below that he would use less gasoline if he drove a compact car. If Samuel
drives an average of 13,000 miles per year, how many more gallons of gas would he need to buy for a pickup truck compared to a compact car?
4-door Sedan
Compact Car
Pickup Truck
Small SUV
EPA rating: 26 mpg (combined city and EPA rating: 32 mpg (combined city EPA rating: 20 mpg (combined city and EPA rating: 22 mpg (combined city and
highway)
and highway)
highway)
highway)
O221.25 gallons
243.75 gallons
250.25 gallons
O261.75 gallons

Answers

Answer:

If Samuel drives a compact car, he would need to buy 243.75 gallons of gas per year. If he drives a pickup truck, he would need to buy 250.25 gallons of gas per year. So he would need to buy 6.5 more gallons of gas per year if he drives a pickup truck compared to a compact car.

Step-by-step explanation:

a cell phone company has a basic monthly plan of $40 plus $0.45 for any minutes used over 700. Before receiving his statement, John saw he was charged a total of $48.10. Write and solve an equation to determine how many minutes he must have used during the month. write an equation without decimals.

Answers

Answer: 718

Step-by-step explanation:

The formula for determining the cost of the cell phone bill (when more than the base number of minutes is used) is

c=p+(m−b)r

Where:

c is the total cost of the bill: $48.10 for this problem.

p is the base price of the plan: $40 for this problem.

m is the number of minutes used: what we are solving for this problem.

b is the base number of minutes allowed: 700 for this problem

r is the rate for additional minutes: 0.45 for this problem

Substituting and solving for m gives:

$48.10 = $40.00 + (m − 700)$0.45

$48.10 − -$40- = $40.00 − -$40- + (m − 700)$0.45 $8.10= 0 + (m−700)$0.45

$8.10 = (m - 700)$0.45

$8.10 = ($0.45 × m) − ($0.45 × 700)

$8.10 = $0.45m − $315.00

$8.10 + -$315.00- = $0.45m − $315.00 + -$315.00-

$323.10 = $0.45m − 0

$323.10 = $0.45m

[tex]\frac{323.10}{-0.45-}=\frac{0.45m}{-0.45-}[/tex] (Money)

[tex]\frac{323.10}{0.45}=\frac{0.45m}{0.45}[/tex] (Money): cross out the dollar sign for 323.10 and 0.45 under it... then cross out 0.45m but leave the m, and then cross out 0.45 under it.

[tex]\frac{323.10}{-0.45-}=m[/tex]

718 = m

m = 718

John used 718 total minutes during the month.

12. Find T in the diagram, if R = 110° and S = 60°.

Answers

Answer:

∠T = 130°

Step-by-step explanation:

The figure we are given is a quadrilateral, a 4 sided shape.

There are many different types of quadrilaterals, such as a rhombus, rectangle, etc.

How will we know which quadrilateral the given figure is?

We will have to look at the given properties of the figure to find out.

We are given that there are two adjacent pairs of congruent sides.

RS = RU, and ST = UT.

Thus, the given quadrilateral is a kite.

Now that we know that the given figure is a kite, we can utilize a kite's angle properties to find out ∠T.

In a kite, the non-vertex angles (∠S and ∠U) are congruent.

If ∠S = 60°, then ∠U = 60°.

In a kite, the sum of the interior angles is 360°.

Hence:

∠R + ∠S + ∠T + ∠U = 360°

Therefore, we can substitute the angles we know into the equation and solve for ∠T.

∠R + ∠S + ∠T + ∠U = 360°

110 + 60 + ∠T + 60 = 360

110 + 120 + ∠T = 360

230 + ∠T = 360

∴ ∠T = 130°

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What is the hardest math in high school?

Answers

Geometry, most people find geometry the hardest because it builds upon algebra 1 with shapes and angles

C is the centroid of △ABD. find the following:
1. If CD = 12, find FC.
2. If BG= 15, find BC.
3. If AE = 21, find EC.
4. If FA = 6, find BA.
5. If CG = 3.5, find BC.​

Answers

Answer:

1. FC = 6

2. BC = 10

3. EC = 7

4. BA = 12

5. BC = 7

Step-by-step explanation:

What is the centroid of a triangle?

the intersection of the medians of a trianglethe medians bisect each side in halfeach median is split in the ratio of 2:1each median has a segment from the vertex to the centroid. that segment is 2/3 the distance from said vertex to the opposite side of said vertexeach median has a segment from the centroid to a side opposite of a vertex. that segment is 1/3 the distance from said vertex to said opposite side

Using the properties of a centroid, we can determine the lengths the problem is asking us for.

1. If CD = 12, find FC.

each median is split in the ratio of 2:1

So if the median we need to look at is FD,

then CD : FC = 2:1

[tex]\frac{CD}{FC} = \frac{2}{1}\\\\\\\\[/tex] . . . . . . . . write the proportion

[tex]\frac{12}{FC} = \frac{2}{1}[/tex] . . . . . . . . . substitute the known values

[tex]12 = 2FC[/tex] . . . . . .  cross multiply

[tex]FC = 6[/tex] . . . . . . divide both sides by 2 to isolate FC

∴ FC = 6

2. If BG = 15, find BC

each median has a segment from the vertex to the centroid. that segment is 2/3 the distance from said vertex to the opposite side of said vertex

So if BG = 15, and BC is the distance from a vertex to the centroid, then BC is 2/3 of BG.

[tex]BC = \frac{2}{2}BG[/tex] . . . . . write equation

[tex]BC = \frac{2}{3}(15)[/tex] . . . . . substitute known values

[tex]BC = \frac{30}{3}[/tex] . . . . . . . . multiply numerators

[tex]BC = 10[/tex] . . . . . .  . . compute

∴ BC = 10

3. If AE = 21, find EC

each median has a segment from the centroid to a side opposite of a vertex. that segment is 1/3 the distance from said vertex to said opposite side

So if AE is the full median, and EC is the distance from the centroid to the opposite side of a vertex, then EC is 1/3 of AE.

[tex]EC = \frac{1}{3}AE[/tex] . . . . . . . . write equation

[tex]EC = \frac{1}{3}(21)[/tex] . . . . . . . . substitute known values

[tex]EC = \frac{21}{3}[/tex] . . . . . . . . . . . multiply the numerators

[tex]EC = 7[/tex] . . . . . . . . . . . . compute

∴ EC = 7

4. If FA = 6, find BA

the medians bisect each side in half

If BA is a side length that is bisected by a median, then FA is 1/2 of BA.

[tex]FA = \frac{1}{2}BA[/tex] . . . . . . . make equation

[tex]FA = \frac{1}{2}(6)[/tex] . . . . . . . . substitute known values

[tex]FA = \frac{6}{2}[/tex] . . . . . . . . . . . multiply the numerators

[tex]FA = 3[/tex] . . . . . . . . . . . compute

∴ FA = 3

5. If CG = 3.5, find BC

each median is split in the ratio of 2:1each median is split in the ratio of 2:1

So if the median we need to look at is BG,

then BC : CG = 2:1

[tex]\frac{BC}{CG} = \frac{2}{1}[/tex] . . . . . . . . . . create the proportion

[tex]\frac{BC}{3.5} = \frac{2}{1}[/tex] . . . . . . . . . . substitute the known values

[tex]BC = 2(3.5)\\[/tex] . . . . . . . . cross multiply

[tex]BC = 7[/tex] . . . . . . . . . . . . . compute

∴ BC = 7

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5. Step 4: Convert the number into decimal form rounded to the
nearest thousandth.

6.28=

O 6.284
O 6.280
O 6.283
O 6.282

Answers

Answer: 6.280

Step-by-step explanation:

A cylinder shaped dispenser holds 5,652 cubic centimeters of liquid soap and is now full. The radius of the dispenser is 7.5 centimeters. What is the difference between the height of the soap in the full dispenser and the height when 4,239 cubic centimeters of soap remains in the dispenser

Answers

On solving the provided question, we can say that difference of cylinder between the height of the soap 8 cm.

what is cylinder?

One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.

[volume of cylinder]=pi*r²*h- =  h=[volume of cylinder]/(pi*r²)

Volume=5652 cm³

r=7.5 cm, so,  h= [tex][5652]/(3.14*7.5²) = h=32 cm[/tex]

the height of the soap in the full dispenser is 32 cm

the height when 4,239 cubic centimeters of soap remains in the dispenser is h  [tex]=[4239]/(3.14*7.5²) = h=24 cm[/tex]

the difference is [tex]32-24 = 8 cm[/tex]

the answer is

8 cm

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WOMENA NGO provides transport refund to every member who attend a seminar as below. a Trainer of trainers (TOT) is given 40% of the money, a Trainer is given 30% of the money,a student lead and other participants share the remaining percentage equally.As a learner,using the knowledge of angles,drawing figures and percentages, draw a pie chart that would help the organization distribute the Transport refund. (Use radius of 4cm)​

Answers

Therefore , the solution to the given question of percentage comes out to be 7.89.

What is a percentage?

A% is a number that represents the percentage of 100 that it is, and it can also be stated as a decimal or a fraction. To convert a percentage to a fraction, place 100 in the denominator and the percentage number in the numerator.

Here,

Given : 40% of the money, a Trainer is given

30% of the money ,a student lead

Find the discount

40 * .15 = 6

Take this from the original price

0.30* 6.3 =1.89

The sale price is 6 + 1.89 =7.89

Therefore , the solution to the given question of percentage comes out to be 7.89.

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In tenpin bowling, the height of each bowling pin must be 15 inches with an absolute deviation of 0.03125 inches find the minimum and maximum possible heights of the bowling pin.

Answers

The minimum and maximum possible heights of the bowling pin are 14.96875 inches  and 15.03125 inches

How to find the minimum and maximum possible heights of the bowling pin.

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

Absolute deviation = 0.03125 inches

Height = 15 inches

The minimum is calculated as

Minimum = Height - Absolute deviation

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

Minimum = 15 - 0.03125 inches

Minimum = 14.96875 inches

The maximum is calculated as

Maximum = Height + Absolute deviation

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

Maximum = 15 + 0.03125 inches

Minimum = 15.03125 inches

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Which inequality correctly orders the numbers -2/3, -11/3, and 2.5 if you tell me right now then i will send you the newest phone and 1,000,000 dollors

Answers

Answer: As for the inequality question you asked,

-2/3, -11/3, and 2.5 are decimal numbers.

-11/3 is smaller than -2/3 because -3.67 is smaller than -0.67

-2/3 is smaller than 2.5 because -0.67 is smaller than 2.5

So the inequality that correctly orders the numbers -2/3, -11/3, and 2.5 is -11/3 < -2/3 < 2.5

It's worth noting that this inequality uses the less than (<) symbol to show the order of the numbers from the smallest to the largest, and it's also worth to remember that this inequality is true only for these specific values, if any of the values were changed it would've resulted in a different inequality.

Step-by-step explanation:

PLEASE HELP PICTURE ATTACHED

Given the diagram below, which statement is true?
A. /1 and /2 are vertical angles and supplementary.
B. /2 and /3 are complementary angles and congruent.
C. /1 and /3 are vertical angles and congruent.
D. /2 and /4 are supplementary angles and congruent.

Answers

Therefore , the solution of the given question of triangle  comes out to be the only true option is A.

Triangle definition

Any three points in a plane can be connected to create triangles, which have three sides and three angles. They were one of the very first geometric shapes to be studied. They are particularly important because any polygon, whether it has four, five, six, or n sides, may be split into a triangle.

Here,

Because angles 1 and 2 are close to one another, they are neighboring angles.

A They share a side and are near to each other, making them neighboring angles.

B. The angles are complimentary (add to 90 degrees) False—Angle 2 has a 90 degree angle.

C. They are additional angles. (add to 180) They do not create a straight line, which is untrue.

D. Vertical angles describe them. (Contrary angles) False, they are not created through the intersection of lines.

Therefore , the solution of the given question of triangle  comes out to be the only true option is A.

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What's the domain of a logarithmic function?

Answers

Answer:

  all positive numbers

Step-by-step explanation:

You want to know the domain of the log function.

Log function

The log function ln(x) is defined for all x > 0. A log function with any other base is similarly defined.

  log function domain: all positive numbers

A parent log function has a vertical asymptote at x=0, and an x-intercept at x=1. Its vertical scaling will depend on the base of the logarithm. Like any function, it can be translated and scaled horizontally and vertically.

__

Additional comment

In the field of complex numbers, the log function is defined for any non-zero number. For example, ln(-1) = πi.

The range is all real numbers.

I need help with question 9. It’s all about functuons

Answers

Answer:

gay

Step-by-step explanation:

gayayayayayayaydyfyfaygaygagya

Find (f/g)(x) for.
f(x) =
X² - 8x+16/
2 + 2x
; g(x) =
(6x)/
(x-4)

Answers

Therefore , the solution of the given problem of function comes out to be  f(g(x)) = x[tex]X^{2}[/tex]−4[tex]X^{2}[/tex]−28x−32/(x−4)

What is function?

Each x value in the domain has one but only one y value range, according to the rule of a function. Definition. If there is only one and only one value of x such that f(x) = y, then the function is one-to-one

Here,

Given : f(x) =X² - 8x+16/2 + 2x

g(x) =(6x)/(x-4)

To find the f(g(x)) :

=> f(g(x)) = f(6x/(x-4))

=>  f(6x/(x-4)) =  (6x/(x-4) )^2 - 8((6x)/(x-4)) +16/2 + 2(6x)/(x-4)

=>  f(6x/(x-4)) = 36[tex]x^{2}[/tex]/ ( [tex]x^{2}[/tex]+ 16 - 8x) - 36[tex]x^{2}[/tex]/(x+4) +8

=> f(6x/(x-4)) = x[tex]X^{2}[/tex]−4[tex]X^{2}[/tex]−28x−32/(x−4)

Therefore , the solution of the given problem of function comes out to be  

f(g(x)) = x[tex]X^{2}[/tex]−4[tex]X^{2}[/tex]−28x−32/(x−4)

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Where is the x-intercept in a quadratic formula?

Answers

The x-intercept in a quadratic formula is where the graph of the function crosses the x-axis.

An x-intercept is a point on the graph of a function where the y-coordinate is equal to zero. In other words, it's a point on the graph where the function intersects the x-axis. The x-intercepts of a quadratic formula can be found by setting the y-value equal to zero and solving for x.

The quadratic formula is typically in the form of ax^2 + bx + c =0, thus by setting y=0 we get x = -b/2a and x = -b/2a, these are the x-intercepts where the graph of the function will cross the x-axis. The x-intercepts are also known as the roots or zeroes of the function, and are important for understanding the overall shape of the graph.

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Find the sum of all natural numbers such that they are 5 times bigger than their last digit.
A. 25
B. 75
C. 125
D. 276
E. 389

Answers

The sum of the natural numbers is (a) 25

How to determine the sum of the natural numbers?

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

Number type = natural number

Condition = 5 times bigger than their last digit

This means that

Number = 5 * Last digit

Because the number is a natural number, then the number cannot end in 0

This is so because 0 is not a natural number

Solving further, the last digit of the number is at most, 9

Using the above as a guide, we have the following:

The number is at most 45 i.e. 5 * 9

Also, it means that it can not have more than 2 digits.

The above highlights in a nutshell is that the number is a multiple of 5 that does not end in 0 and the last digit is 5

Since the last digit is 5, then we have the number to be 25 i.e. 5 * 5

Hence, the number is (a) 25

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How do you find the inverse of a 4x4?

Answers

By adding a duplicate of the identity matrix to the augmented matrix, which was formed, it is possible to find the inverse of a square matrix using row reduction.

If the matrix is capable of being reduced to the identity, the identity matrix will simultaneously change into the inverse matrix. A rectangular array of numbers, arranged in rows and columns, is referred to as a matrix. The dimension, or order, of a matrix, indicates how many rows and columns there are in the array. For example, if a matrix has m rows and n columns, its order is expressed as mxn.

Correct Question :

How do you find the inverse of a 4x4 matrix?

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Pill bluethooth Speaker consists two semisphere and cyclinder. The diameter of the cylinder and semisphere is 2 inches. the height of the cylinder is a foot. The According to the Statement please fill in the blanks. please answer the following in inch format and round it to

Answers

The volume of Pill Bluetooth Speaker is 39.78 cubic inches.

What is the volume?

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, Pill Bluetooth Speaker consists two semi sphere and cylinder.

The diameter of the cylinder and semi sphere is 2 inches. the height of the cylinder is a foot.

Radius =2/2 1 inch

We know that, the volume of semi sphere is 2/3 πr³

= 2/3 ×3.14×1³

= 2.1 cubic inches

We know that, 1 foot =12 inches

The volume of cylinder is πr²h

= 3.14×1²×12

= 37.68 cubic inches

Total volume =37.68+2.1

= 39.78 cubic inches

Therefore, the volume of Pill Bluetooth Speaker is 39.78 cubic inches.

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"Your question is incomplete, probably the complete question/missing part is:"

Pill bluethooth Speaker consists two semisphere and cyclinder. The diameter of the cylinder and semisphere is 2 inches. the height of the cylinder is a foot. The According to the Statement please fill in the blanks. please answer the following in inch format and round it to nearest tenth.

a) Volume of the Bluetooth Speaker ______

PLS HELP I DONT UNDERSTAND THUS PLS EXPLAIN

Answers

The equation that will make a system with infinite solutions is the third option.

y = 2x + 6

Which equation will make a system with infinite solutions?

A system of linear equations will have infinite solutions only if the two equations represent the same line.

Here we know that one of the linear equations of the system is:

2y - 4x = 12

If we now divide the whole equation by 2, we will get:

(2y - 4x)/2 = 12/2

y - 2x = 6

Now we can move the "2x" term to the right side, then we will get.

y = 2x + 6

So the equations:

y = 2x + 6

2y - 4x = 12

Represent the same line, then that system will have infinite solutions.

Finally, the correct option is the third one.

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Which single power is equivalent

Answers

3^4 is the correct answer. distribute the 2 exponent to the 3 exponent(3^6/3^2), then “divide” by subtracting the powers.

The volume of a sphere is given by the equation V = 1/6(square root of 3.14) x 60^3/2
where S​ is the surface area of the sphere. Find the volume of a water walking ball, to the nearest cubic meter

Answers

v=16(square root of ur mom) 3.14 x 60^3/2

What must be added to x³ 3x² 12x 19?

Answers

The expression x3 3x2 12x 19 is a polynomial expression in standard form.

To add 24 to this expression, we need to add 24 to each of the terms. This means that the answer is x3 + 3x2 + 12x + 43. To check our work, we can use theFOIL  method to expand the expression and make sure that the coefficients of each of the terms are correct. The FOIL method stands for First, Outer, Inner, Last. The first and last terms are the x3 and 43, the outer terms are 3x2 and 12x, and the inner terms are 3x2 and 12x. When we multiply these terms, we get x3 + 3x2 + 12x + 43, which is our final answer.

Calculation

x3 + 3x2 + 12x + (19 + 24)

= x3 + 3x2 + 12x + 43

The expression x3 3x2 12x 19 is a polynomial expression in standard form.

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How do you solve a 30 60 90 right?

Answers

Remembering the ratio of 1: 3: 2 and understanding that the smallest side length is always opposite the shortest angle (30°) and the longest side length is always opposing the greatest angle (90°) can help you recall the 30-60-90 triangle principles.

A 30-60-90 triangle can have three sides, and if you only know one, you can use shortcuts to discover the other two. The three scenarios you encounter when performing these computations are as follows:

You are aware of the short leg (the side across from the 30-degree angle). To determine the hypotenuse, multiply the length by two. The long leg may be calculated by multiplying the short side by the square root of 3.You are aware of the hypotenuse. To get the short side, divide the hypotenuse by two. To determine the long leg, multiply this response by the square root of 3.You are aware of the long leg (the side across from the 60-degree angle). To determine the short side, divide this side by the square root of 3. To determine the hypotenuse, multiply that amount by two.

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Sarah has 600 quarters and dimes in her piggy bank which totals $123. 75 how many quarters does she have? (Hit: use cent values for each coin- quarters are 25 cents, 0. 25)

Answers

The answer of Coin word problem is Sarah has 425 quarters.

What is a  Coin word problem?

There are often two different equation types in coin word problems. The total number of coins is described by one equation, while the total amount of money is described by the other equation. However, let's choose some variables that will represent the problem's unknown values before we begin creating our equations.

Word Problems, also known as story problems, can be found in both daily life and the Common Core State Standards for every school level,  

Let q  be the number of quarters and d  be the number  of dimes

Then we are doing as :

q  +  d    =  600  →   d = 600  - q    (1)

0.25q + 0.10d  = 123.75      (2)

Sub (1)  into (2)  for d

0.25q + 0.10 ( 600 - q)   = 123.75    

simplify,

0.25q + 60  -0.10q  =  123.75

0.15q + 60 = 123.75    (subtract 60 from both sides)

0.15q  =  63.75     ( divide both sides by  0.15)

q = 425

Therefore, she has  425 quarters

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