Examine the equation. –2(–x 9) = 2(x – 9) 2x – 18 = 2x – 18 this equation has .

Answer:

Step-by-step explanation:

a

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Option D is correct, the population variance is 16.

Given that  a population of N = 100 scores has mean µ = 30 and standard deviation σ = 4.

We have to find the  population variance.

The population variance (σ²) is calculated as the square of the standard deviation (σ).

In this case, since the standard deviation (σ) is given as 4, we can find the population variance as follows:

Population variance (σ²) = (Standard deviation)²

= 4²

= 16.

Therefore, the population variance is 16. Hence, the correct option is D) 16.

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Answer:Sorry

Step-by-step explanation:

The equation to represent Sand supply of contact lens pairs, y, after x months is 5 + 1.5x.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

Here, Sandy wears contact lenses. She starts the year with 5 pairs of lenses, and she uses 3 pairs of contacts every 2 months.

The equation to represent Sand supply of contact lens pairs, y, after x months so be:

5 + (3/2 × x)

5 + 1.5x

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Answer:

w = .03v + 925

Step-by-step explanation:

3% as a decimal is .03.

He gets a flat 925 + 3% of value of the ads.

Therefore , the solution of the given problem of interest rate is  total amount in the bank at the end of one year​ is GH¢840.

An interest rate tells us how high the cost of borrowing is, or high the rewards are for saving. So, if one is a borrower, the interest rate is the amount he/she is charged for borrowing money, shown as a percentage of the total amount of the loan.

Using the interest rate formula, we get the interest rate, which is the percentage of the principal amount, charged by the lender or bank to the borrower for the use of its assets or money for a specific time period. The interest rate formula is Interest Rate = (Simple Interest × 100)/(Principal × Time).

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Answer:

The slope of a line is given by the formula "rise over run," or (y2 - y1)/(x2 - x1). In this case, the rise is 7 - 6 = 1, and the run is 4 - p.

So the slope is equal to 1/(4 - p). We are told that this slope is equal to j, so we can set up the equation:

1/(4 - p) = j

To solve for p, we can multiply both sides of the equation by (4 - p) to get:

(4 - p) = j(4 - p)

Then we can simplify the left side and rearrange the terms on the right side to get:

4 - p = 4j - jp

Then we can add p to both sides to get:

4 = 4j - jp + p

Then we can combine like terms to get:

4 = (4 - p)j + p

Then we can rearrange the terms to solve for p:

p = 4 - (4 - p)j

p = 4 - 4j + pj

p = (1 - j)p + 4 - 4j

p(1 - j) = 4 - 4j

p = (4 - 4j)/(1 - j)

This is the value of p that will make the slope of the line with points (p, 6) and (4, 7) equal to j.

Answer:

p = -5

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}[/tex]

Given values:

Substitute the given points and slope into the slope formula:

[tex]\implies \dfrac{1}{9}=\dfrac{7-6}{4-p}[/tex]

[tex]\implies \dfrac{1}{9}=\dfrac{1}{4-p}[/tex]

Cross multiply:

[tex]\implies 4-p=9[/tex]

Subtract 4 from both sides:

[tex]\implies -p=5[/tex]

Divide both sides by -1:

[tex]\implies p=-5[/tex]

Therefore, the value of p is -5.

Answer:

78 degree is the correct answer.

Using the concept of fraction and percentage, the percentage increase of the baby at 12 months is 177.7 percent

Percentage increase is a mathematical concept that refers to the increase in a particular value over its initial amount. It is usually expressed as a percentage and is calculated by dividing the increase in the value by the original amount, then multiplying by 100.

In this problem, the data given are;

The percentage increase at 12 months old can be calculated as

percentage increase = [(mass at 12 months - Initial mass) / Initial mass] * 100

percentage increase = [(10 - 3.6) / 3.6] * 100

percentage increase = 1.7 * 100

Percentage increase = 177.7%

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Answer:

0.62 cents

Step-by-step explanation:

divide 5 and 3.10

hope this helps:)

Samuel needs a total of 6 containers for his plan

The complete question is added as an attachment

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

1 cup of rubbing alcohol = 1/(1/2) = 2 shares

Also, we have

1 cup of rubbing alcohol contains = 1 + 1/2 + 16 = 17.5

For the 2 shares calculated above, we have

2 shares = 17.5 * 2

Evaluate

2 shares = 35

Given that each can hold a maximum of 6 cups, the number of containers needed is

Container = 35/6

This gives

Container = 5.83

Round up

Container = 6

Hence, he needs 6 containers

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A nonagon, sometimes known as an enneagon or a 9-gon, is a nine-sided polygon. In other words, a nonagon is a closed shape, two-dimensional figure with nine sides.

Assuming, of course, that you're in 2D. Your inquiry implies 2D because you mention "sides," however if you wanted to learn about 3D shapes, you would have asked about "faces," i.e., a nine-faced shape(solid), which is a "nonahedron". walterthewhale. September 11, 2011. It is an octagon.

A polygon with nine sides and nine angles is called a nonagon. Nonagon is created by adding the numbers nine and gon. A polygon is a closed, two-dimensional shape with three or more straight sides. Any object having straight edges, like a triangle or rectangle, is a polygon. Polygons do not include figures with open sides or any curved sides.

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The solution to the system of equations from the graph and the algebraic method correlates with one another i.e. x = 4, y = 3

A system of linear equations is a grouping of one or more linear equations with the same variables. There are various ways for solving a system of two linear equations, these includes:

In the Graphical method, to graph an equation system, we simply do so by plotting the equations on the same set of axes and searching for the point(s) where the two lines cross. This intersection point is the system's solution since it reflects the values of the variables that make both equations true at the same time.

The plot for the two systems of the equation can be seen in the image attached below.

y = x - 1

y = 3x - 9

From the graph, we could see that the two equations intersect at (4,3). It implies that in the order (x,y), x = 4, and y = 3.

Using the algebra elimination method.

y = x - 1          ..... (1)

y = 3x - 9       ..... (2)

From equation (1),

y - x =  -1

y - 3x =  -9

By Elimination method,

2x = 8

x = 8/2

x = 4

Replace the value of x into equation (1),

y = 4 - 1

y = 3

Therefore, we can conclude that the solution to the system of equations from the graph and the algebraic method correlates with one another i.e. x = 4, y = 3

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Answer:

11w + 9d  ≥ 130

Step-by-step explanation:

The amount of money that she makes from her jobs in total has to be greater than or equal to 130.

Answer:

210m²

Step-by-step explanation:

We have 2 triangular faces with surface 5m*12m/2 = 30m² each

We have the top face with surface 5m*12m = 60m²

We have the bottom face with surgace 5m*13m = 65m²

And we have the "middle" with surface 5m*5m = 25m²

For a total of

30m² + 30m² + 60m² + 65m² + 25m² = 210m²

Answer:

The first 2 boxes are 56

The finale answer is 51/56

The distance from the beaver dam back to its starting point is 4.1 miles

The Pythagoras theorem is a mathematical statement that specifies the connection of the sides of a right triangle. It asserts that "the  length of the hypotenuse squared is equal to the sum of the length of the opposite and the adjacent squared."

Mathematically;

hyp² = opp² + adj²

From the image attached below, the distance from the beaver dam back to the starting point is the hypotenuse of the triangle formed.

Thus;

hyp² = 2.3²  + 3.4²

hyp² = 5.29 +  11.56

hyp = √16.85

hyp = 4.1

Therefore, we can conclude that the distance from the beaver dam back to its starting point is 4.1 miles.

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Answer:

12x + 3 = 12x + x

Step-by-step explanation:

Because if we keep both x on each side equal to each other, we will always get a no-solution equation, so in this case, I add x.

To dilate from the Y axis, you would use a transformation matrix with a scale factor of 1 for the X axis and a scale factor greater than 1 for the Y axis. For example, if you wanted to scale up by 2, the transformation matrix would look like this:

[1, 0]

[0, 2]

1. Begin by defining the point P(x, y) that you want to dilate.

2. Create a transformation matrix with a scale factor of 1 for the X axis and a scale factor greater than 1 for the Y axis. For example, if you wanted to scale up by 2, the transformation matrix would look like this:

[1, 0]

[0, 2]

3. Multiply the point P by the transformation matrix to obtain the new point P'(x', y'). For example, for the point P(2, 3) and the transformation matrix above, the new point P' would be P'(2, 6).

4. The new point P' is the result of dilating from the Y axis.

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Answer:

W = 59 degree

Y = 59 degree

Z = 53 degree

x = 121 degree

v = 121 degree

Step-by-step explanation:

W = 59 degrees because a triangle has a total of 180 degrees, and we know 2 of the angles, one is 31 degrees and the other is 90 degrees, so

90 + 31 = 121

180 - 121 = 59 degrees

So, W = 59 degrees

Y = 59 degrees because w and y are vertical angles.

z = 53 degrees because

68 + 59 = 127

180 - 127 = 53 degree

So, z = 53 degree

x = 121 degree, y = 121 degree because w, x, y, v add up to 360 degree

59 + 59 = 118

360 - 118 = 242

242 / 2 = 118 degree

So, x and y equal to 118 degrees.

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Scott pays his nephew $10 per hour, and he initially had $900 for extra labor. Then the correct option is C.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The graph below illustrates how much Scott must spend on additional labor to hire someone to assist him as he works on his property. He recruited his nephew to work on weekends and after school.

From the graph, the two points are (0, 900) and (800, 10). Then the slope of the line is given as,

m = (900 - 800) / (0 - 10)

m = - 100 / 10

m = - 10 dollars per hour

Then the equation is given as,

y = - 10x + 900

Scott pays his nephew $10 per hour, and he initially had $900 for extra labor. Then the correct option is C.

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Answer: How are you supposed to know the length if you only know the width. There isn't an answer to this question.

The solution for the given equation is x=95/7 and for the given inequality is x<25/8.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=12x+6. Where:

m= the slope.

b= the constant term that represents the y-intercept.

For the given an example: m=12 and b=6

For the other hand an expression mathematical that represents a non-equal relationship between a number or another algebraic expression is called an inequality. Therefore, it is common to the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).

The solutions for inequalities can be given by: a graph in a number line or numbers.

The exercise gives two topics:

70x=850+100

70x=950

x=950/70

x=95/7

8x < 40 - 15

8x< 25

x< 25/8

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The solution of the equation 70x - 100 = 850 is x = 13.6.

The solution of the inequality is x < 3.125.

Equations are mathematical expressions containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Let's solve the equation for the variable x.

70x - 100 = 850

70x = 850 + 100

70x = 950

divide both sides by 70

x = 950 / 70

x = 13.6

Let's solve the inequality as follows:

8x + 15 < 40

subtract 15 from both sides of the inequality

8x + 15 -15  < 40 - 15

8x < 25

divide both sides of the inequality by 8

x < 25 / 8

x < 3.125

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The expression that represents the profit Justin made is 1.31c + 1.66m + 1.6b ( option C)

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.

Justin earned $1.50c selling cookies but he spent $0.19c. Therefore the profit on cookies = $(1.5-0.19)c. = $1.31c

He earned $2.25m by selling muffins and spent $0.59m on the ingredients. Therefore the profit He made on muffins = $(2.25-0.59) = $1.66m

He earned $1.90b selling brownies and he spent $0.30b on ingredients. The profit he made on brownies = $1.90-$0.30 = $1.60b

Therefore the expression for the total profit = $(1.31c+ 1.66m+1.6b)

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The equation is f ( - x ) = 2x⁴ + x² + 5 and f ( x ) = f ( - x )

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.

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 data ,

Let the equation be represented as A

Now , the value of A is

f ( x ) = 2x⁴ + x² + 5   be equation (1)

On simplifying the equation , we get

When the value of x = -x

Substitute the value of x = -x in the equation , we get

f ( - x ) = 2 ( -x )⁴ + ( - x )² + 5

On further simplification , we get

f ( - x ) = 2 ( x )⁴ + ( x )² + 5

So ,

f ( - x ) = 2x⁴ + x² + 5 = f ( x )

Therefore , the value of f ( - x ) = 2x⁴ + x² + 5

Hence , the equation is f ( -x ) = 2x⁴ + x² + 5

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The correct option is B. The matrix must have pivot columns. The statements "A has a pivot position in every row and the columns of A are linearly independent" are logically equivalent.

The data given in this question is,

Suppose A is a 7 × 5 matrix.

The objective of this question is to find how many pivot columns must have if its columns are linearly independent.

Explanation for step 1:

Consider the given data that A is a 7 × 5 matrix.

All fine columns of 7 × 5 matrix A must be Pivot Columns.

Otherwise the equation AX=0, would have a free variable, in which care the Columns of would be linearly dependent.

Explanation:

Therefore, the required answer for the given question is option (B) correct.

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Answer:

so shortcut method for finding slope in equation is simply slope = - coefficent of x/ coefficient of y

Answer:

5/6

Step-by-step explanation:

put the equation into slope-intercept form:  y = mx + b

5x - 6y = 30

-6y = -5x + 30

y = (-5/-6)x - (30/6)

y = 5/6x - 5

Therefore, slope = m = 5/6

The width of the rectangular garden is 11 feet

The formula for calculating the perimeter of a rectangle is expressed as;

Perimeter = 2(l+w)

Given that;

From the information given, we have that;

Now, substitute the values

50 = 2(8 + 2w + w)

add the like terms

50 = 2(8 + 3w)

expand the bracket

25 = 8 + 3w

collect like terms

3w = 33

Divide by the coefficient of w

w = 11 feet

Hence, the value is 11 feet

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The coordinate of fourth vertex is (-3, 2) determined by using the properties of parallelogram.

The quadrilateral whose opposite sides are equal and parallel to each other along with equal opposite angles is called parallelogram. The only difference of parallelogram from rectangle is that rectangle has four right angles, but parallelogram has not.

we are given, three vertices as (-7, -2), (1, -4) and (5, 0)

let, the fourth vertex is (x, y)

the above vertices can be named as A (-7, -2), B (1, -4) and C (5, 0)

and D (x, y)

We know the distance of two points (x₁, y₁) and (x₂, y₂) is given by the following formula.

√[(x₂-x₁) ²+(y₂-y₁) ²]

Now distance from A to B = √[(1+7)² + (-4+2) ²]

length of AB = √ (64 + 4) = √68

distance from B to C = √ [(5-1)² + (0+4) ²]

length of BC = √32 = 4√2

According to the properties of parallelogram, two opposite sides are equal and parallel to each other.

If ABCD is a parallelogram, then AB = CD and BC = AD

length of CD = √[(x-5) ² + (y- 0) ²] = AB

length of AD = √ [ (x+7) ² + (y+2) ²] = BC

√68 = √[(x-5)² + y²]

after squaring both sides, we get 68 = x² - 10x + 25 +y²

                                            x²+ y² -10x -43 = 0 ... equation 1

4√2 = √[(x+7) ² + (y+2) ²]

32 = x² + 14x + 49 + y² + 4y + 4

x² + y² +14x + 4y +21 = 0 .......... equation 2

solving the equation 1 and 2 we determine the value x = -3 and y =2

hence, the fourth vertex D (x, y) = D(-3, 2)

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The value for a = 10 and b = -[tex]\frac{16}{5}[/tex] to create infinitely many solutions to this system of equations.

       (x1, y1) = (negative 3, negative 4) and (x2, y2) = (2, negative 2).

        m = (y2 - y1) ÷ (x2 - x1) = (-2 - (-4)) ÷ (2 - (-3)) = [tex]\frac{2}{5}[/tex]

       b = y1 - mx1

          = -4 - ( [tex]\frac{2}{5}[/tex])(-3)

          = -4 - (- [tex]\frac{2}{5}[/tex])

          = -4 +  [tex]\frac{2}{5}[/tex]

        y = ( [tex]\frac{2}{5}[/tex])x - 4 +  [tex]\frac{2}{5}[/tex] =  [tex]\frac{2}{5}[/tex] x - [tex]\frac{16}{5}[/tex]

        10x - ([tex]\frac{16}{5}[/tex])y = 60

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With the hit and trial method of infinite number of solutions, the equation can be solved through:

A=20

B= -60

A system with infinite number of solutions is formed by equations which are a multiple of the other one. To create infinitely many solutions, we have to make sure that the line equation is equal to the equation of the other equation we have. Then, the following proportion must be observed:

A=10/-10 = -A/20 = 60/B

A= -1

-A/20 = -1

A=20

60/B= -1

B= -60

Hence the values for A and B are 20 and -60 respectively.

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By using the quotient of powers property, we will see that the value of n must be 6.

Here we want to solve the equation below:

2.3 × 10^9 = (1 × 10^3)(2.3 × 10^n)

For the exponent n.

To fo so, we can start by dividing both sides by the first factor on the right side.

2.3 × 10^9 = (1 × 10^3)(2.3 × 10^n)

(2.3× 10^9)/(1 × 10^3) = 2.3 × 10^n

Remember the quotient between powers of the same base:

a^n/a^m = a^{n - m}

Then we will get:

(2.3× 10^9)/(1 × 10^3) = 2.3 × 10^n

(2.3/1)×(10^9/10^3) = 2.3 × 10^n

Now we can use the property written above:

2.3×10^{9 - 3} = 2.3 × 10^n

2.3×10^6 = 2.3×10^n

There we can see that the value of n must be 6.

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