Alberto uses the steps below to solve the equation One-half x minus 3 equals 7. Step 1: One-half x minus 3 plus 3 equals 7 plus 3 Step 2: One-half x plus 0 equals 10 Step 3: One-half x equals 0 Step 4: 2 (one-half) x equals 2 (10) Step 5: 1 x equals 20 Step 6: x equals 20 Which justifies Step 6 of his work? the addition property of equality the identity property of addition the multiplication property of equality the identity property of multiplication

Answer:

(2) angle EZD = angle AZB (vertically opposite angles)

angle EZD = 90 degree

(3) angle DXC = 180 - 143 (Linear Pair axioms)

                   = 37 degree

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The measure <EZD = 90°

The measure <DXC = 37°

I hope you understand....

This is a Right answer....

Answer:

X=35°

Step-by-step explanation:

Opposite angles x=35°

Answer:

35°

Step-by-step explanation:

The 2 angles that measure 35 degrees and x degrees are vertical angles.

Therefore, they are congruent, and we can set them equal to each other.

x = 35°

So, x is equal to 35 degrees.

Answer:

9000

Step-by-step explanation:

SI=PRT/100

P=SI 100/RT

=[ 1800×100]÷ 20

= 180000÷20

= 9000

The distance between two trains is 224 miles.

The speed of one train is 75 miles per hour and the speed of the second train is 85 miles per hour.

The train is moving towards each other. So the relative speed of the train is,

So the distance between trains 224 miles is covered at the speed of 160 miles per hour.

Determine the time after which trains meet each other.

So two trains meet after 1.4 hours.

The equation for the transformed logarithm that passes through the points (3,0) and (0,2) can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants to be determined.

To find the equation for the transformed logarithm, we need to use the given points (3,0) and (0,2) to determine the values of a, b, h, and k. Let's start with the point (3,0). Plugging the x-coordinate (3) into the equation, we have:

0 = -b * log(base a)(3 - h) + k

Next, we'll use the point (0,2) to obtain another equation. Plugging the x-coordinate (0) into the equation, we get:

2 = -b * log(base a)(0 - h) + k

Simplifying these equations, we have a system of equations to solve for a, b, h, and k. However, since the equation involves a logarithm, we need more information to determine the specific values of a, b, h, and k.The transformed logarithm function includes transformations such as vertical stretches/compressions (b), horizontal shifts (h), and vertical shifts (k). Without more specific information about these transformations or the base of the logarithm, it is not possible to determine the equation uniquely.

In general, the equation for a transformed logarithm can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants determined by the specific transformations applied to the logarithm function. It's important to have additional information or instructions to determine the values of a, b, h, and k and provide an equation that accurately represents the given transformed logarithm.

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Answer:

11

Step-by-step explanation:

1- Find the domain

2- Evaluate the limit

3- Evaluate the left-hand and the right-hand limits

4- Evaluate

5- x = 11 represents a vertical asymptote

Answer:

C. 2

Hope this helps :)

The measure of x, AB, BC, and AC are 8, 69, 69 and 138 respectively

The point where two lines meet is known as an angle:

Given the following expressions

AB = 3(3x -1)

AC = 5(2x+2)

If B lies in the middle of AC then;

Hence;

AB + AB = AC

2AB = AC

2(9x-3) = 5(2x+2)

18x - 6 = 10x + 10

18x - 10x = 10 + 6

2x = 16

x = 16/2

x = 8

Get AB

AB = 9x - 3

AB = 9(8) - 3

AB = 72 - 3

AB = 69

Since AB = BC, hence the measure of BC os 69

Get the measure of AC:

AC = AB + BC

AC = 69 + 69

AC = 138

hence the measure of x, AB, BC, and AC are 8, 69, 69 and 138 respectively

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The strain that exists under a maximum-stress condition is 9.27 × 10^-3.

Given data: Minimum cross-sectional area of femur= 4.4×10^-4 m^2

Compressional force to fracture= 6.100×10^4 N

We need to find the maximum stress that this bone can withstand.

Maximum stress = compressive force / minimum cross-sectional area

                            = 6.1×10^4 / 4.4×10^-4=1.39×10^8 N/m^2

Now, we need to find the strain that exists under a maximum-stress condition.

Since stress = Young’s modulus × strain,

Strain = stress / Young's modulus

Maximum stress = 1.39×10^8 N/m^2

Young's modulus for bone = 1.5 × 10^10 N/m^2

Strain = 1.39×10^8 / 1.5 × 10^10= 0.00927= 9.27 × 10^-3

Therefore, the strain that exists under a maximum-stress condition is 9.27 × 10^-3.

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The angles which are corresponding to each of the angles listed in the pre-image are as follows;

It follows from the task content that the image attached represents the reflection of a pre-image figure over the vertical, y-axis to form an image.

It follows from definition that; A corresponding angle, put simply is one that holds the same relative position as another angle somewhere else in the same figure or in another (similar/congruent) figure.

Hence, the corresponding angles as evident from the figure vertexes and their equivalent in the image are as follows;

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Answer:

The lost 20 yards is 20-

Based on the Hypotenuse-Length Theorem of Congruence (HL), the values of x and y that will make both right triangles congruent are:

x = 8 and y = 4

Two triangles are said to be congruent if the three sides and three angles are equal in all directions.

Two right triangles are congruent to each other by the Hypotenuse-Length Congruence Theorem (HL) if the hypotenuse length and one leg of a right triangle are congruent to the hypotenuse length and leg of the other right triangle.

Thus, for both right triangles to be congruent, it means that their hypotenuse and one of their corresponding legs must be equal to each other.

Use this to create two equations and solve them to get the value of x and y.

Equal Hypotenuse:

    x + y = 3y

⇒ x +4 -4 = 3y -4

⇒ x = 3y -4              ------------------------ (1)

Equal legs:

x = y +4                    _______________ (2)

Find the value of y, by substituting x = (y + 4) into eqn. 1.

   y + 4 = 3y - 4

⇒ -2y = -8

⇒ y = 4

Find the value of x, by substituting y = 4 into eqn. 2.

   x = y + 4

⇒ x = 4 +4

⇒ x = 8

Therefore, based on the Hypotenuse-Length Theorem of Congruence (HL), the values of x and y that will make both right triangles congruent are: x = 8 and y = 4.

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(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

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When we say that the tails of the normal curve are asymptotic to the x axis, it mean the tails get closer and closer to the x axis but never touch it

The tails of normal curve are actually asymptotic. To say they are asymptotic, then it means that they approach the x axis but never quite meet its horizons.

These tails will extends indefinitely in both directions without crossing and touching the x axis or the horizontal axis.

Tails of normal curve or normal curve itself is asymptotic to the x-axis. That is the curve touches the x-axis only at -∞ and +∞. So the curve only approaches nearer and nearer to x-axis but never touches or crosses it.

For this reason, the correct choice is get closer and closer to the x-axis but never touches it.

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Answer: 4x10^2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Look below.

Step-by-step explanation:

1.) Alternate exterior

2.) Alternate interior

3.) Same-side interior

4.) Vertical

5.) Corresponding

6.) Alternate exterior

Answer:

2nd graph

Step-by-step explanation:

on edge

Answer:

I think it is the second graph.

Step-by-step explanation:

Answer:

A. 43.5 units

Step-by-step explanation:

(8×4)+(½×3×4)+(½×3×2)+(½×5×1)

= 32+6+3+2.5

=43.5 units

Answer:

19,188

Step-by-step explanation:

hope this helps ;)

Answer:

The total number of votes was 7281 .

Step-by-step explanation:

Let the number of no votes be x

yes : no

5 : 4

4045 : x

4045÷5 = 809

so,

x = 4 × 809 = 3236

3236 people voted no .

Total number of votes = 4045 + 3236

= 7281 ( Ans )

(C) Regression analysis is the statistical method commonly used to estimate the level and trend in a time series by modeling the relationship between the data and independent variables.

Regression analysis is the statistical method used to estimate the level and trend in a time series. Time series data represents observations taken at different points in time and is commonly used to analyze trends and patterns over time.

Regression analysis allows us to model the relationship between a dependent variable (in this case, the time series data) and one or more independent variables (such as time or other relevant factors). By using regression analysis, we can identify the underlying trend in the time series and estimate its level.

The regression model captures the relationship between the dependent variable (the time series) and the independent variable(s) by fitting a line or curve that best represents the data. This line or curve helps to identify the overall trend and level of the time series.

While moving average, simulation method, covariance analysis, and correlation analysis are useful techniques in analyzing time series data, they are not specifically designed to estimate the level and trend in a time series. Therefore, (C) regression analysis is the most appropriate method for estimating the level and trend in a time series.

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No, f(x, y) = 3x - 3y^2 is not a harmonic function.

A harmonic function is a twice continuously differentiable function f(x, y) that satisfies the Laplace equation:
                                                                            ∂²f/∂x² + ∂²f/∂y² = 0.

Let's check if f(x, y) = 3x - 3y^2 satisfies the Laplace equation:
∂²f/∂x² = ∂/∂x(3) = 0
∂²f/∂y² = ∂/∂y(-6y) = -6
∂²f/∂x² + ∂²f/∂y² = 0 + (-6) = -6 ≠ 0

Since the Laplace equation is not satisfied, f(x, y) = 3x - 3y^2 is not a harmonic function.

As for finding a corresponding analytic function, an analytic function is a function that is locally given by a convergent power series. Since f(x, y) is not a harmonic function, there is no corresponding analytic function.

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to get the equation of any straight line, we simply need two points off of it, let's use those two from the picture below.

\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{(-4)}}} \implies \cfrac{-6}{0 +4} \implies \cfrac{ -6 }{ 4 }\implies -\cfrac{3}{2}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{3}{2}}(x-\stackrel{x_1}{(-4)}) \implies y -3=-\cfrac{3}{2} (x +4) \\\\\\ y-3=-\cfrac{3}{2}x-6\implies {\LARGE \begin{array}{llll} y=-\cfrac{3}{2}x-3 \end{array}}\)

Answer:

mid point (x,y) = M (18, 24)

let J (- 4, - 2) be ( x1, y1)

     L(a,b) be (x2,y2)

using midpoint formula

(x,y) = [(x1+x2)/2, (y1 + y2)/2]

or, (18, 24) = [(-4+a)/2, (-2+b)/2]

comparing corresponding element we get

18 = (-4+a)/2                 24 =(-2+b)/2

or 36 = -4+ a            or 48 = -2 +b

or a = 40                  or b= 50

L(40,50)

if the number of times you take the test were independent variable of the chance you fail what could that mean the difficulty of the test is consistent and unchanging.

The difficulty of the test is consistent and unchanging, making it so that the chance of failing is solely determined by the individual's performance on the test. Factors such as knowledge of the subject and the ability to focus can play a role in a person's success, but the actual chance of failing is not affected by how many times the test is taken. This means that those who fail the test will have to work harder and prepare better in order to pass it on the next attempt. Taking the test multiple times does not guarantee a higher chance of success, as the difficulty remains the same each time due to independent variable.

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Answer:

false

Step-by-step explanation:

1/8 = .125

2/4 = .5

therefore 1/8 does not = 2/4

Answer:

your questions is wrong it's 2×2-6x=56

answer= X=-9

Step-by-step explanation:

2×2-6x=56

4-6x=56

-6x=56-4

-6x=54

-X=54/6

-X=9

X=-9

The correct option is C, Prices have increased about 16-fold over the last 80 years, assuming an average annual U.S. inflation rate of 4 percent.

The inflation rate is a measure of the rate at which the general level of prices for goods and services is rising over a period of time, usually a year. It is typically expressed as a percentage increase or decrease in the average price level of a basket of goods and services over a certain period of time.

Here, the price index is a weighted average of the prices of a specific set of goods and services. The inflation rate is a key indicator of the overall health of an economy, as high inflation can erode purchasing power and reduce the standard of living for individuals, while low or negative inflation can lead to economic stagnation or deflation. Governments and central banks closely monitor inflation rates to ensure that they remain within a targeted range, typically around 2-3% per year, through the use of monetary and fiscal policies.

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