Rewrite the equation in Ax+By = C form. Use integers for A, B, and C. y+3=-4(x-6)​

Answer:

Step-by-step explanation:

20=v+9-16

So first, we combine like terms

20=v-7

Then we want to add 7 on each side

20=v-7

+7      +7

Then we are left with

27=v

Step-by-step explanation:

Subtract the numbers

20=v+9-16 =20=v-7

Add 7 to both sides

20=v-7

20+7=v-7+7

Then simplify P.S if you dont know how to comment on the answer

ANSWER v=27

Answer: 92

Step-by-step explanation:

The value of y when x = -2, 0,2 is 1/49, 7, 49.

Simplification is an algebraic expression is when we utilize a range of approaches to make algebraic expressions more efficient and compact - in their simplest form - without changing the value of the original expression.

Given function y =[tex]7^{x}[/tex]

We have to determine the y values when x = -2, 0, 2

Now substitute the x values in the given function

If x = -2 then

Y = 7(-2)

Y = 1/49

If x = 0 then

Y = 7(0)

Y = 1

If x = 2 then

Y = 7(2)

Y = 49

Therefore the value of y when x = -2, 0 ,2 is 1/49, 7 , 49

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The proportional relationship between the number of books on shelf and how much shelf space the books takes up is 1 inch

What is proportionality?

The concept of proportionality in mathematics denotes the linear relationship between two quantities or variables. The size of one item increases by twofold, whereas the size of the other quantity decreases by one-tenth of the earlier amount.

When two or more parameters are directly or indirectly proportional to one another, the relationship is written as a = kb or a = k/b, where k denotes the direction of the relationship between the two variables. The proportionality constant, k.

As we know [tex]\frac{y}{x}[/tex] = constant of proportionality

So, [tex]\frac{y}{x}[/tex] will be

[tex]\frac{2}{2} = \frac{11}{11} = \frac{13}{13} = \frac{16}{16}[/tex] = 1

∴ it is 1 inch per book

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Thus, it takes 1.5 minutes {30 seconds} for filling a 3-litre bowl

Answer: $342.40

Step-by-step explanation:

There are two ways you can solve this problem:

Simply turning the percentage to a decimal and multiplying it to the $320.

In the picture provided the method at the top represents you multiplying $320 x .07, You might be wondering “why .07 instead of 7%?” Well, if you were turning this number from a percent to a decimal you would shift the decimal point over to the left 2 times.

And so multiplying $320 x .07 = 22.4 or 22.40. Either way works but without the zero is the way you should write it. And you would add 22.4 to $320 and get $342.40.

Also in the picture provided I used the method of proportions.

Where the total is $320 in this case which you would put next to 100% as 100% means complete or the total. And you would put 7% above 100%. Then, proceed to cross multiply $320 by 7 and it will give you, 2240. Then, you divide it by 100. When you divide it you get 22.40. Then you would add it to $320 and get 342.40.

A minimum of 3 weighings are required to identify the heavy marble out of 8 marbles.

As all the marbles weigh the same except one which is heavier, therefore firstly 8 marbles are divided into half. 4 marbles are placed in one pan while the other 4 are placed in another pan. In this two-pan balance, the pan which is lower than the other contains a heavier marble.

Now, the pan with heavier marble has 4 marbles which are again divided into half. 2 marbles are placed in each pan. Similarly, the pan with heavier marble goes down as compared to another pan with 2 marbles of the same weight. Now the final weighing is done by placing 1 marble in each pan out of 2 marbles taken from the pan which went down before as compared to another pan.

The pan with heavier marble will move down and thus with 3 weighings, a heavier marble is identified.

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Answer:

see image

Step-by-step explanation:

Use new exponent rules like:

A power raised to a power is the product of the powers. (power to a power, times the exponents)

and,

Square root is a half power. (Converting radicals to fractional exponents)

Also, you can multiply in any order, like since you learned multiplying (example: 2×6 is the same as 6×2)

see image.

Here's the plan:

Change the radical to a 1/2 exponent. Now 3 and 1/2 are both exponents. Rearrange the order. Rewrite in radical form again.

see image.

The proof of the equation  (√5)³ = √(5³) is given below.

Exponentiation is one of the mathematics operation.

Let mᵃ, where m and a are the real numbers.

And m is multiplied by a times to itself.

So, a is the exponent of m.

Given:

A radical equation,

(√5)³ = √(5³).

LHS =  (√5)³

Simplifying,

(√5)³ = {(5[tex])^{1/2}[/tex]}³

        = [tex]5^{3/2}[/tex]

        = √(5³)

        = RHS.

Therefore,  (√5)³ = √(5³).

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The complete question:

Simplify and prove the equation (√5)³ = √(5³) by using exponent rules.

The reflection of point produce an image at the same coordinates, (0, k) is a reflection of the point across the y-axis.

A figure is transformed into a reflection by a transformational process. In a point, a line, or a plane, figures can be reflected. The image and preimage coincide when reflecting a figure in a line or a point.

Every point of a figure is translated to an image across a fixed line via a reflection. The fixed line is referred to as the reflection line.

Given:

A point has the coordinates (0, k).

The rule for a reflection of a point across the x-axis is:

(x, y) ----> (x, -y)

and, the reflection is (0 , -k)

The rule for a reflection of a point across the y-axis is:

(x, y) ----> (-x, y)

and, the reflection is (-0 , k) or (0, k).

The rule for a reflection of a point across the line y = x is:

(x, y) ----> (y, x)

and, the reflection is (k, 0).

and, The rule for a reflection of a point across the line y = -x is:

(x, y) ----> (-y, x)

and, the reflection is (-k, 0)

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Answer:

Credit (C) = $45.50 - 0.10x

Step-by-step explanation:

Since you are wanting the credit (C) that is the y variable.

The prepaid phone card starts off with a balance of $45.50.

Every minute a call is made $0.10 is deducted (subtracted) from the card.

The unknown number or 'x' represents the number of minutes the calls lasted.

Answer:

Andre is taller than Diego

Step-by-step explanation:

There are 100 cm in a meter. If we use this information and convert Diego's height to meters, we find that Diego is 1.65 m. This is a smaller number, and therefore, Diego is shorter than Andre.

Dora solved the equation.

She multiplies 4 inside the bracket. But she fails to know that 4× -1 = -4. Instead she multiplied that 4×-1 = -41. This is her first mistake.

In the second step, she shifted -41 to the right side in order to find the value of x. As -41 gets shifted to right side , -41 becomes +41 and added with +11 to get 52. which is totally a wrong method.

Step-by-step explanation:

Here is the exact method of solvation.

[tex]{ \blue{ \bold{4(x - 1) = 11}}}[/tex]

[tex]{ \blue{ \bold{4x - 4 = 11}}}[/tex]

[tex]{ \blue{ \bold{4x = 11 + 4}}}[/tex]

[tex]{ \blue{ \bold{4x = 15}}}[/tex]

[tex]{ \blue{ \boxed{ \red{ \sf{x = \frac{15}{4}}}}}} [/tex]

Recent research has confirmed the Spillover Hypothesis by demonstrating a favourable association between life and job happiness.

According to the spillover hypothesis, behaviour or affect in a family system might flow immediately from one place or connection to another. Transfer takes place in the same valence, which means that one subsystem's negative affect is connected to another's negative affect, or stress at work spills over and intensifies stress at home. The compensatory hypothesis offers a different perspective by arguing that transfer between family subsystems occurs in the opposite valence, leading a person to seek fulfilment in one relationship or environment in order to make up for shortages in another.

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The probability that he or she will be happy with the travel reimbursement will be 0.705.

The number of people who requested more vacation time indicates that they are plainly dissatisfied.

400 employees are satisfied with the vacation allowance. - The number of workers that requested greater vacation time.

Employees who are satisfied with their vacation pay are represented by the numbers 400 - 118 = 282.

The likelihood that he or she will be happy with the vacation allowance =

Employees that are happy with their vacation pay / Total number of employees

= 282 / 400 = 0.705.

Therefore, the likelihood that he or she will be happy with the vacation allowance = 70.5%

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The simplified expression is 2187.

Given expression:

expression 3 with the exponent 4 multiplying  3 with the exponent of 3.

= [tex]3^{4} *3^{3}[/tex]

we know that,

if base are equal exponents are added.

= [tex]3^{4+3}[/tex]

= [tex]3^{7}[/tex]

= 3*3*3*3*3*3*3

= 9*3*3*3*3*3

= 27*3*3*3*3

= 81*3*3*3

= 243*3*3

= 729*3

= 2187.

Therefore the simplified expression is 2187.

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The speed of 213.25 mph  is the red car actually traveling along the road.

What is speed?

The definition of speed is the pace of movement of an object (covering a particular distance). It defines only the magnitude and not the direction, making it a scalar quantity.

The meter per second (m/s) unit of speed is taken from the SI.

let distance between the police and red cars = h

distance from the red car to a point horizontal to the police car = a

distance from from the road to the police car = b

=>[tex]h^2=a^2+b^2[/tex]

take the derivative with respect to time

=>hh' = aa' + bb' b'=0

=>174.64(75) = 90a'

=>a' = 174.64(75)/90 = 145.4ft/sec

=>145.4ft/sec = 145.4(5280)/60^2 = about 213.25 mph

Here ,1 mile = 5280 feet

=>1 hour = 60 minutes x 60 seconds = 3600 seconds

=>1 mile per hour = 5280 feet per 3600 seconds

=>1 foot per second = 5280/3600 mph = 1.4666...mph

=>145.4x 1.4666... = 213.25 mph

Hence 213.25 mph speed  is the red car actually traveling along the road.

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In this "Simple Random Sample" scenario, 500500500 selected randomly registered phone numbers were chosen.

For the given data in the question.

Thus, 500500500 random registering phone numbers are randomly chosen by a state court employee using a computer, and the law firms connected to all those numbers are randomly chosen for an audit.

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Answer: 1.8 movies per day.

Step-by-step explanation: 8 1/3=25/3. One day would be 3/25. This means that each day, a college students watched 3/25 of 8 movies. Do 3/25x15. This makes 1.8 movies watched per day.

8 ounce of brown rice and 9 ounce quinoa sold.

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

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

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

Given:

Brown rice: $2.00 per pound

Quinoa: $4.50 per pound

let the brown rice sold x ounces

and, let the Quinoa sold be y ounces

So, the equations are:

x + y= 17

2x+ 4.5y= 54

2( 17- y) + 4.5y= 54

34 - 2y + 4.5y= 54

2.5y= 20

y= 20/2.5

y= 8 ounce

and, x= 17-8= 9 ounce

Hence, 8 ounce of brown rice and 9 ounce quinoa sold.

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The pit [2, 2]'s prior probability tends to be 0 and its posterior probability tends to be 1.

Compute the probabilities of Pits Each square in the Wumpus world do consist of a pit with the probability of 0.01 and consist of independent contents of the squares.

As suppose there are total of N/2 pits that are scattered randomly among the total of N squares. To compute the probabilities of the pits in [1, 3] and [2,2], consider that the probabilities of the assignments to complete where the other assignments doesn't gets off.

Thus, the total number of the 3-pit assignment rather remains consistent with the three assigned partial assignments here P 1,3 =true.Thus, in 21 assignment completes when the P 1,3 =true. Next the 55 assignment completes when the

P 1,3, = false.

Thus, it gives P(P 1.3 ) = a' (0.01(0.0001+0.0099+0.0099), 0.99(0.0001+ 0.0099)) = (0.1674, 0.8326)

While when the value of Pay = true, then there are basically four assignments that are partialenough with the total value of 0.0001, 0.0099, 0.0099, 0.9801, through the assignment gets completed.

Next when the value of Pa, = false, then there is only a single assignment that is partial with the value of 0.0001 that completes the assignments. Thus, then the final value of P (P2.2 ) is given asP(P2.2) = a' (0.01(0.0001+ 0.0099+0.0099+0.9801), 0.99x 0.0001) = (0.9902, 0.0098

Thus, the prior probability of the pit [2, 2] tends to be 0 and the posterior probability tends to be one (1).

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The value e = 0.869 indicates that the ellipse is more elongated that circular.

Given,

x²/12+y²/49 = 1

We will compare with x²/a² + y²/b² = 1 where a<b

Coordinate of center = (0,0)

Here a²=12 and b²=49

We know that the formula of eccentricity(e)

e=√(1-(a²/b²))

= √(1-(12/49))

= √37/7

=0.869

Therefore e=√37/7 = 0.869

Therefore this value indicates that the ellipse is more elongated that circular.

In mathematics, an ellipse is a plane bend encompassing two central focuses, to such an extent that for all focuses on the bend, the amount of the two distances to the central focuses is a consistent. It sums up a circle, which is the extraordinary kind of oval wherein the two focal points are something similar.

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The total cost of the shirts that have same cost when x=5 is,

c=70

A mathematical equation is a formula that joins two expressions and expresses their equivalence using the equals symbol (=). The definitions of the word equation and its cognates in different languages may differ slightly.

The entire cost is c

c = 40 + 6x

c = 20 + 10x

The quantity of shirts is x.

Via utilizing one of the equations to solve for one of the variables and then substituting that variable's value into the other equation, you can solve by substitution.

40+6x=20+10x

4x=20

x=5

You would solve for c in the first equation in this problem.

40+6x where x=5 then,

c=70

Since it has already been solved for c, all that is left to do is swap out c with its equivalent in the second equation.

20+10x where x=5 then,

c=70

Therefore, the total cost of the shirts that have same cost is c=70 when x=5.

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The number of randomly selected employers that would have to be contacted is 9604

The confidence level is 95%

1 - 0.95 = 0.05

We have to get the z value at 0.05

0.05/2 = 0.025

Using the standard normal table, the critical value at 0.025 = 1.96

We have to define the probability as P = 50% = 0.5

we have to define q = 1 - 50% = 0.5

The formula that would be used to find the value of n is given as

[tex]n = pq\frac{Zc}{E} ^2[/tex]

These variables used are:

pq = variance of population

E = margin of error = 0.01

critical value = Zc = 1.96

[tex]n = 0.5*0.5 (\frac{1.96}{0.01})^2[/tex]

= 0.25 * 38416

= 9604

Hence the sample space is given as 9604

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The 10% criterion is not followed in Part A. The typical condition is not satisfied in component B.

A proportion is a component, piece, or amount that is compared to a total. It might be 0 or 1, or any number between 0 and 1. It can be stated numerically or as a percentage. In official statistics, one example would be the proportion of the Canadian population residing in a certain province.

Here,

The chocolate chunks' data are as follows:

The sample size (n = 18) of chocolates

The batch contains 17 pieces of white chocolate.

The batch contains 43 dark chocolates.

Given the percentage of white chocolates in the sample, we have;

p = 17/60 = 0.28, the proportion of white chocolates in the batch

Part A

Because sampling samples without replacing them does not result in independent Bernoulli trials, the 10% condition stipulates that the sample size should be less than or equal to 10% of the population.

Because the stated sample size, n = 18, is 18/60100 = 30% > 10% of the batch, the 10% condition is not satisfied in the current case.

Part B

The normal approximation can be assumed when we have;

n·p > 10 and n·p·(1 - p) > 10

By plugging in the values for 'n' and 'p', we have;

p = 0.28 = 17/60

n·p = 18 × 17/60 = 5.1 < 10

n·p·(1 - p) = 18 × 17/60 × (1 - 17/60) = 3.655 < 10

Therefore the normal condition is not met.

Part A does not adhere to the 10% requirement. Component B does not meet the normal condition.

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Answer:

(0.5, 1.5 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint M is

M = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = A (- 4, 4 ) and (x₂, y₂ ) = B (5, - 1 ) ,then

M = ( [tex]\frac{-4+5}{2}[/tex] , [tex]\frac{4-1}{2}[/tex] ) = ( [tex]\frac{1}{2}[/tex] , [tex]\frac{3}{2}[/tex] ) = (0.5, 1.5 )

Answer:

The midpoint is at ( 1/2, 3/2)

Step-by-step explanation:

Midpoint

To find the x coordinate of the midpoint

Add the x coordinates of the endpoints and divide by 2

( -4+5)/2 = 1/2

To find the y coordinate of the midpoint

Add the y coordinates of the endpoints and divide by 2

( 4+-1)/2 = 3/2

The midpoint is at ( 1/2, 3/2)

The value of prime numbers c in the equation is c = 2.

What is prime numbers?

Those greater than one are known as prime numbers. They simply have two variables, the number itself and factor 1.

We have given that a - b = c requires all of the integers to be positive prime numbers,

c can only have one outcome, which is 2.

                 [tex]e.g., 13 - 11 = 7 - 5 = 2.[/tex]

Hence in the given prime numbers c in the equation is c = 2.

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The rule which describes the function graphed in the attached image as required to be identified is; Output = 8 - input.

It follows from the task content that the rule which is a representative of the function which is as graphed in the attached image is to be identified.

By observation, the relation which best describes the graph is; (7, 1), (6, 2), (5, 3).....

The inference which can therefore be drawn from the given graph is that;

The output value is the subtraction of the input value from 8 in each case.

Ultimately, the required rule which represents the function is; Output = 8 - input.

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Answer:

Step-by-step explanation:

3 as the x axis and -5 for the y axis

The correct option ; Quadrilateral, has the given information describing quadrilateral UVWX.

For the given values in the question;

In the quadrilateral UVWX

As, none of the sides are equal to other and none of the angles are equal to the other.

Thus, the this information shows the values are given for quadrilateral.

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