Apply the Division Property of Equality. 12x - 2/3 = 83 1/3

pls help!!!

Answer:

42

Step-by-step explanation:

Multiples of 14 are:

0 ,   14 ,  28 ,  42. ... .. .

Multiples of 6 are :

0, 6 ,  12 ,  18 ,  24 ,  30 ,   36 ,  42 ... ... . .

Another method is to write the prime factorization of 14 and 6:

Take all the prime numbers with the highest exponent from the prime factorization:

14 = 2 × 7 and   6 = 2 × 3

L . C . M (14 , 6 ) = 2 ×3 × 7 = 42

The answer to the given question is nominal and ordinal measurements. These two type measurements are used to group respondents or objects into groups or categories and also considered as categorical measures.

Nominal measurement is the least accurate and informative, because it only names the characteristic or identity which we are interested. In nominal variables, the numerical values just "name" the attribute differently. Thus, numerical value is simply a label.

Ordinal measurement reports the ranking and ordering of the data without chartering the degree of variation. Ordinal measurement includes statistical data type in which variables are in order or rank but without a degree of difference between categories. The ordinal measurement includes qualitative data. This measurement places variables in order or rank, and only allowing to measure the value as higher or lower in measurement.

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Answer:

slope m = - 8

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8

The slope is :

Solution:

Given: \(\bf{y+3=-8(x-4)}\)

To determine the slope, it's important to know the form of the equation first.

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

Answer:

  see boxed results below

Step-by-step explanation:

You want to simplify the sums of the given rational expressions.

The relevant rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  a^-b = 1/a^b

Application of these can be tedious, but is not difficult. We generally choose to write these expressions on one line with the variables in alphabetical order. Terms with like constellations of variables can be combined.

  \(\dfrac{p^2x^4}{m^5}-\dfrac{2p^4m^5}{x^{-4}}-\dfrac{3p^2x^2}{x^{-2}m^5}+\dfrac{7p^2m^{-5}m^{10}x^4}{p^{-2}}\\\\\\=m^{-5}p^2x^4-2m^5p^4x^4-3m^{-5}p^2x^4+7m^5p^4x^4\\\\\\=5m^5p^4x^4-2m^{-5}p^2x^4=\boxed{5m^5p^4x^4-\dfrac{2p^2x^4}{m^5}}\)

The 1st and 3rd terms were combined, as were the 2nd and 4th.

  \(-\dfrac{m^4x^5}{k^5}+\dfrac{2m^2x^5}{k^5m^{-2}}-\dfrac{3m^3x^2k}{m^{-4}x^3k^4}\\\\\\=-k^{-5}m^4x^5+2k^{-5}m^4x^5-3k^{-3}m^7x^{-1}\\\\\\=k^{-5}m^4x^5-3k^{-3}m^7x^{-1}=\boxed{\dfrac{m^4x^5}{k^5}-\dfrac{3m^7}{k^3x}}\)

The first and second terms were combined.

__

Additional comment

The attachment shows the simplification performed by a calculator. These are written in decreasing order of degree of the terms. (The degree is the sum of the exponents.)

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If the production of wood tables on an assembly line increases from 1600 tables per shift to 2000 tables per shift, the labor productivity will increase by 25%.We need to determine the percentage change.

To calculate the increase in labor productivity, we need to compare the difference in production levels and determine the percentage change.The initial production level is 1600 tables per shift, and the increased production level is 2000 tables per shift. The difference in production is 2000 - 1600 = 400 tables.

To calculate the percentage change, we divide the difference by the initial production and multiply by 100:

Percentage Change = (Difference / Initial Production) * 100 = (400 / 1600) * 100 = 25%.

Therefore, the correct answer is option C) 25%, indicating that labor productivity will increase by 25% when the production is increased to 2000 tables per shift.

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Answer:  b

Step-by-step explanation:

Combine the terms after removing the parentheses.

Reference equation: 4x + 12

a.  4x + 12

b.  4X +7

c.  4x + 12

d.  4x + 12

The work done by a variable force can be calculated using the formula Work = Force x Distance. The force in this question is 5x^-2 pounds.

Work = Force x Distance

Work = (5x^-2) x (10 - 1)

Work = (5x^-2) x (9)

Work = 45x^-2

Therefore, the work done in moving the object from x = 1ft to x = 10ft is 45x^-2.

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To graph the polar equation and find the common interior of r = 6 - 4 sin(θ) and r = -6 + 4 sin(θ), we can use a graphing utility such as Desmos or Wolfram Alpha. These tools allow us to visualize polar equations and explore their graphs.

When we enter the given polar equations into a graphing utility, it will plot the curves corresponding to each equation on the same graph. We can then observe the region where the curves overlap, indicating the common interior of the two equations.

The polar equation r = 6 - 4 sin(θ) represents a cardioid, a heart-shaped curve centered at the pole (origin) with a radius that varies based on the angle θ. The term 6 represents the distance from the origin to the furthest point on the cardioid, while the term -4 sin(θ) determines the variation in radius as the angle changes.

Similarly, the polar equation r = -6 + 4 sin(θ) also represents a cardioid but with a radius that is the mirror image of the first equation. The negative sign in front of the term indicates that the cardioid is reflected across the x-axis.

Using a graphing utility, we can plot both equations and observe the graph to determine the common interior. The graphing utility will provide a visual representation of the region where the two cardioids intersect or overlap.

In the graph, we can see the heart-shaped curves corresponding to each equation. The cardioids intersect in two regions, forming a figure-eight shape. This figure-eight region represents the common interior of the two polar equations.

The common interior of the two cardioids is the region where the radius values from both equations are positive. In this case, the figure-eight region is entirely within the positive region of the coordinate plane, indicating that the common interior consists of points with positive radius values.

To summarize, by graphing the polar equations r = 6 - 4 sin(θ) and r = -6 + 4 sin(θ) using a graphing utility, we can observe their overlapping regions, which form a figure-eight shape. This figure-eight represents the common interior of the two equations and consists of points with positive radius values.

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Answer:

How much brain we talkin?

Step-by-step explanation:

???

Answer:

x^2+3x-28

Step-by-step explanation:

Answer:

The answer is x^2  3x 28

Step-by-step explanation:

The pair of lines perpendicular to RS are EA and FG.

A flat surface on which a straight line joining any two points on it would wholly lie is known as a plane.

What is plane?

A plane is a point, a line, and three-dimensional space's equivalent in two dimensions.

Main Body:

Given

E,F and G are on plane X. R and S are in both planes X and Y. EA and FG are parallel. AE and FG are vertical lines and are present on plane X. RS is present at the intersection of the 2 planes.

Explanation:

The lines which together could be perpendicular to RS are EA and FG.

We have to first draw both the planes according to the given information in question.

X is a vertical plane so draw a plane vertical on the horizontal plane that is Y plane. Now plot A and F And G in X plane and R,S in such a way that they  are in both plane so they will be at the intersection of both the planes. Now draw lines from A and F to form lines EA and FG.

Hence we can observe that lines EA and FD are perpendicular on line RS.

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Answer:

57

Step-by-step explanation:

.85n = 51

n = 51/0.85

n = 60

10% of 60 is 6

.95 x 60 = 57

95% of the number 60 = 57.

Addition is an operation used in math to add numbers. The result that is obtained after addition is known as the sum of the given numbers.

For example, if we add 2 and 3, (2 + 3) we get the sum as 5.

Given,

85% of a number is 51 and 10% of the same number is 6

95 % of number = 85% of a number + 10% of the same number

                           = 51 + 6

                           = 57

0.95 × number = 57

number = 60

Hence, 57 is the 95% of the number 60.

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The housing supply function is given by h(I,R) = a log1 + bR + cR log1. The housing supply responds to changes in I with a rate of a, and to changes in R with a rate of b + c log1.

Based on the given equation, the housing supply (h) is determined by two variables: I and R. The equation shows that h is a function of R, with a log-linear relationship. The variable I only appears as a constant (a) in the equation, so changes in I do not directly affect the supply of houses.
On the other hand, changes in R (or OR, which is the same variable) do affect the supply of houses. Specifically, an increase in R leads to an increase in the supply of houses. The magnitude of this increase depends on the values of b and c in the equation.
To see this, we can take the partial derivative of h with respect to R:
dh/dR = b + cR/(ln(10))
This equation tells us how much the housing supply changes in response to a change in R. The derivative is positive (i.e. the supply increases) as long as c is positive. The larger c is, the greater the increase in supply for a given increase in R.
Therefore, the correct answer is:
b + cR/(ln(10))

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13 and 13√2 is the value of x and y in the given diagram

The given diagram is a right triangle, we need to determine the value of x and y.

Using the trigonometry identity

tan45 = opposite/adjacent
tan45 = x/13

x = 13tan45
x = 13(1)
x = 13

For the value of y

sin45 = x/y

sin45 = 13/y
y = 13/sin45

y = 13√2
Hence the exact value of x and y from the figure is 13 and 13√2 respectively.

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The x.length is the number of rows, which is 4. x[2].length is the number of columns in the 3rd row, which is 5. The expression "new double[4][5]" creates a 2D array of doubles with 4 rows and 5 columns. The correct answer is (b) 4 and 5.

The expression double[][] x = new double[4][5] creates a 2D array x with 4 rows and 5 columns. Therefore, x.length gives the number of rows, which is 4. And x[2].length gives the number of columns in the 3rd row (since array indices start at 0), which is 5. Therefore, the correct option is (b) 4 and 5.

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The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

g(x) = (x + 10)/3

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

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In one sweep, the area covered by the sprinkler is 77.19 sq ft (approx). The area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

We know that a rotating sprinkler can reach up to 14 feet through a 300-degree angle. Area covered by the sprinkler in one sweep = area of the sector whose radius = 14 feet and angle = 300°Area of sector = (θ / 360) × πr²Where θ = 300°, r = 14 ftArea of sector = (300/360)× π(14)²= 77.19 sq ft (approx) Therefore, the area covered by the sprinkler in one sweep is 77.19 sq ft (approx).

We need to find the total area of the lawn that receives water from this sprinkler. The sprinkler rotates 360 degrees, so it will cover a full circle whose radius is 14 feet. Area of a circle = πr²= π(14)²= 615.752 sq ft (approx) Therefore, the area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

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The mathematical statement is true when the value of t is 22

The equation is given as:

\((4x^3- 5)(2x^3 -3) = 8x^6 -tx^3 +15\)

Expand the expression on the left-hand side

\(4x^3(2x^3 -3)- 5(2x^3 -3) = 8x^6 -tx^3 +15\)

Distribute the expression

\(8x^6 -12x^3- 10x^3 +15 = 8x^6 -tx^3 +15\)

Evaluate like terms

\(8x^6 -22x^3 +15 = 8x^6 -tx^3 +15\)

By comparing the expressions on both sides of the equation, we have:

\(-22x^3= -tx^3\)

Divide both sides of the equation by -x^3

\(22= t\)

Rewrite as:

\(t =22\)

Hence, the mathematical statement is true when the value of t is 22

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Answer:

22

Step-by-step explanation:

Answer:

y/x = 1.57

Step-by-step explanation

Y=kx

k=$1.57

y=1.57x

divid by x

y/x=1.57

The difference between the amount earned and the amount spent will be $ 1.57 per square ft.

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running or creating anything.

Saleem is a landscape architect.

When he creates a lawn, his supplier charges $.43 per square foot for sod.

Saleem charges his customers $2.00 per square foot to lay the sod.

The profit Saleem makes when creating a lawn varies directly as the number of square feet of sod.

Then the profit will be

Profit = 2 - 0.43

Profit = $ 1.57 per square foot

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Regarding the exponential function y = 3(2)^x, we have that:

An exponential function is defined as follows:

y = ab^(x/n).

In which the parameters are defined as follows:

The function for this problem is given as follows:

y = 3(2)^x.

Hence the parameters are given as follows:

At x = 3, the numeric value of the function is obtained as follows:

y = 3 x 2^3

y = 3 x 8

y = 24.

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The CDF of Y is: FY(y) = FX((2 - y)/3)

= {1 - \(e^{(-4(2-y)/3)}\), for y ∈ (-∞, 2]

{0, for y < -∞

To find the CDF of Y, we need to first find the range of Y:

Y = g(X) = 2 - 3X

When X = 0, Y = 2

As X approaches infinity, Y approaches negative infinity

Thus, the range of Y is (-∞, 2].

Now, let's find the CDF of Y for y ∈ (-∞, 2]:

FY(y) = P(Y ≤ y) = P(2 - 3X ≤ y)

Solving for X:

X = (2 - y)/3

Since FX(x) = P(X ≤ x), we can substitute (2 - y)/3 for x in FX(x) to get:

FX((2 - y)/3) = P(X ≤ (2 - y)/3)

= 1 - \(e^{(-4(2-y)/3)}\), for y ∈ (-∞, 2]

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The largest taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. then Amount of grilled steak used: 6.6 (79.17) = 538.356 kg

What is a unit amount in math?

When a price is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, it is called a unit price. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio

1 k + 6.6 k = 617.3

Where “k” is a constant value, a multiplier.

Solving for k:

7.8 k = 617.3

k = 617.3 /7.8  

k= 79.17

So:

Amount of onion used:

1 (79.17) = 79.17 kg

Amount of grilled steak used:

6.6 (79.17) = 538.356 kg

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Answer: The first step would be to divide both sides by 5/6 to isolate x.

Answer:

Your answer is: x = 7/10

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Step-by-step explanation:

Hope this helped : )

Answer:

possibly 4 if not I'm sorry

The mean and standard deviation for the number of defective bolts in a total of 400 bolts is 40 and 6.32 (approx), respectively.

The mean and standard deviation for the number of defective bolts in a total of 400 bolts if the probability of defective bolt is 0.1 can be calculated using Poisson distribution.

Poisson distribution is used to predict the number of events that occur over a specified interval of time when the probability of an event occurring is known.

The formula for calculating the mean (μ) and standard deviation (σ) is given as follows:
μ = λσ = √λ
Where λ = np, where n is the number of trials and p is the probability of success.

Here, the probability of a defective bolt is 0.1. So the probability of a non-defective bolt is 0.9. The total number of bolts is 400, so the expected number of defective bolts can be calculated as follows:
μ = λ = np = 400 x 0.1 = 40

The mean number of defective bolts is 40. The standard deviation can be calculated as follows:
σ = √λ = √40 = 6.32 (approx)

The standard deviation is 6.32 (approx).

Therefore, the mean and standard deviation is 40 and 6.32 (approx), respectively.

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The slope intercept form is         y=3x+18

Answer:

y = - 3x - 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 3 , then

y = - 3x + c ← is the partial equation

to find c substitute (- 4, 6 ) into the partial equation

6 = 12 + c ⇒ c = 6 - 12 = - 6

y = - 3x - 6 ← equation of line in slope- intercept form

21 and 7.

let the greater number be x and smaller number be y.

it is given that x = 3y.

it is also given that 4y + 5x = 133.

=> 4y + 5 * 3y = 133.

=> 4y + 15y = 133

=> 19y = 133

=> y = 7

then, x = 3y = 3 * 7 = 21.

hope this helps. :)