Elevator 1 in a hotel moved from ground position to a final position of +18 feet. Elevator 2 in the same building moved from ground to a final position of −20 feet. Which statement best describes the final positions of these two elevators?
A. Elevator 1 is 18 feet below ground level, and Elevator 2 is 20 feet above ground level.
B. Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below ground level.
C. Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below the position of Elevator 1.
D. Elevator 1 is 18 feet below ground level, and Elevator 2 is 20 feet above the position of Elevator 1.

Answer:

It took you 3 hours to reach the apple farm.

Step-by-step explanation:

The ordered pair that is a solution of the system of equations shown in the graph is (-3, 5). The correct option is (2) (-3, 5)

From the question, we are to determine the ordered pair that is a solution of the system of equations shown in the graph.

The solutions of the system of equations are the coordinates of the points where the quadratic curve and the straight line cut each other.

From the graph,

The quadratic curve and the straight line intersect at the point (-3, 5)

Also,

The quadratic curve and the straight line intersect at the point (1, -3)

Hence, the ordered pair is (-3, 5)

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The function f can be implemented using a single 4-to-1 multiplexer and two inverters.

A 4-to-1 multiplexer is a digital logic component that selects one of four input signals based on the select lines. It has four data inputs (D0, D1, D2, D3), two select lines (S0, S1), and one output (Y). By properly connecting the inputs and select lines, we can realize the desired function f.

To implement the function f using a single 4-to-1 multiplexer and two inverters, we need to carefully assign the input signals and select lines to achieve the desired behavior. The truth table of the function f will guide us in determining the appropriate connections.

First, we can use the inverters to complement the required inputs if needed. Then, we can connect the complemented and uncomplemented inputs to the select lines of the multiplexer. The output of the multiplexer will be the result of the function f.

By carefully selecting the input assignments and connections, we can effectively implement the function f using a single 4-to-1 multiplexer and two inverters. This approach offers a compact and efficient solution for realizing the desired logic function.

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Answer:

Hope this helps!

Step-by-step explanation:

x= 1/2- y+ -1/ 2

You'll obtain the mean square between and the mean square within, which are crucial for further statistical analyses such as the F-test or ANOVA. To calculate the mean square between and the mean square within after finding the between-group sum of squares and the within-group sum of squares, you can follow these steps:

1. Determine the degrees of freedom between groups (df_between):

Subtract 1 from the number of groups.
2. Determine the degrees of freedom within groups (df_within):

Subtract the number of groups from the total number of observations.
3. Calculate the mean square between (MS_between):

Divide the between-group sum of squares by the degrees of freedom between groups (MS_between = between-group sum of squares / df_between).
4. Calculate the mean square within (MS_within):

Divide the within-group sum of squares by the degrees of freedom within groups (MS_within = within-group sum of squares / df_within).

By following these steps, you'll obtain the mean square between and the mean square within, which are crucial for further statistical analyses such as the F-test or ANOVA.

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The most specific name for the figure is an isosceles trapezoid

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

The figure

The properties of the given figure are

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

The figure is a trapezoid

Because the nonparallel sides are congruent, then the most specific name for the figure is an isosceles trapezoid

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Based on the given information, we know that the series ∑[infinity]n=0 cnxn converges when x = -5 and diverges when x = 7.

For x = -5, since the series converges, it implies that the terms cnxn must approach zero as n goes to infinity. This information provides some indication that the series might converge for other values of x.

For x = 7, the fact that the series diverges suggests that the terms cnxn do not approach zero as n goes to infinity. This implies that the series is unlikely to converge for values of x greater than 7.

In summary, based on the given information, we can conclude that the series ∑[infinity]n=0 cnxn converges for x < -5 and diverges for x > 7. However, for values of x between -5 and 7 (inclusive), we cannot make any conclusions about the convergence or divergence of the series.

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Quadratic equation is the polynomial equation in which the highest degree of its variable is two.The highest degree of the equation given in option 1 is four and thus it is a quadratic equation. Hence, option 1 is the correct option.

Quadratic equation is the polynomial equation in which the highest degree of its variable is two.

Let's check all the given options one by one whether it is a quadratic equation or not.

Option 1-

\(6(x + 2)^2 + 8x + 2 + 1 = 0\)

simplify the above equation using the algebraic formula of the whole square, we get,

\(6(x^2 + 4x+4) + 8(x + 2) + 1 = 0\)

\(6x^2 + 24x+24 + 8x + 16 + 1 = 0\)

\(6x^2 + 32x+41 = 0\)

The highest degree of the equation given in option 1 is four and thus it is a quadratic equation.

Option 2-

\(6x^4+7x^2-3=0\)

The highest degree of the equation given in option 2 is four and thus it is not a quadratic equation. hence option 2 is incorrect.

Option 3-

\(5x^6+x^4+12=0\)

The highest degree of the equation given in option 3 is six and thus it is not a quadratic equation. hence option 3 is incorrect.

option 4-

\(x^9+x^3-10=0\)

The highest degree of the equation given in option 4 is nine and thus it is not a quadratic equation. hence option 4 is incorrect

Hence, the highest degree of the equation given in option 1 is four and thus it is a quadratic equation. Hence, option 1 is the correct option.

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It came rude when I typed. so, I took screenshot for your answer.

The given equation are illustrations of trigonometry identities. The value of \(\sin^2\theta + \sin^4\theta\) is 1

Given that:

\(\cos \theta + \cos^2 \theta = 1\)

In trigonometry:

\(\sin^2 \theta + \cos^2\theta = 1\)

Rewrite as:

\(\sin^2 \theta = 1 - \cos^2\theta\)

Make \(\cos \theta\) the subject in \(\cos \theta + \cos^2 \theta = 1\)

\(\cos\theta = 1 - \cos^2 \theta\)

Compare \(\sin^2 \theta = 1 - \cos^2\theta\) and \(\cos\theta = 1 - \cos^2 \theta\)

\(\sin^2 \theta = \cos \theta\)

So:

\(\sin^2\theta + \sin^4\theta\) becomes

\(\sin^2\theta + \sin^4\theta = \sin^2\theta + (\sin^2\theta)^2\)

Substitute \(\sin^2 \theta = \cos \theta\)

\(\sin^2\theta + \sin^4\theta = cos\theta + (cos\theta)^2\)

\(\sin^2\theta + \sin^4\theta = cos\theta + cos^2\theta\)

Recall that: \(\cos \theta + \cos^2 \theta = 1\)

This means:

\(\sin^2\theta + \sin^4\theta = 1\)

Hence, the value of \(\sin^2\theta + \sin^4\theta\) is 1

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Answer:

4/9

Step-by-step explanation:

Let x = .44.....

10 x = 4.444....

10x - x = 9x = 4.444 ... - .44...

              9x = 4

                x = 4/9

\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

The Length of PQ such that Triangle JKL is similar to Triangle PQR ~

To make the given triangles similar, we have to get the ratios of each of their corresponding side to be equal to one another.

That is :

\(\qquad \sf  \dashrightarrow \: \dfrac{PQ}{12} = \dfrac{9}{6} \)

\(\qquad \sf  \dashrightarrow \: PQ = \dfrac{9}{6} \times 12\)

\(\qquad \sf  \dashrightarrow \: PQ = {9}{} \times 2\)

\(\qquad \sf  \dashrightarrow \: PQ = 18 \: units\)

hence, the option C is correct

The inequality best describes the number of paperback books 'p' and the number of hardback books 'h' that can be purchased for $45.00 or less

is 5p + 9h ≤ 45.  

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, Two types of books paperbacks are represented by 'p', and hardbacks are represented by 'h'.

Also, we can only buy two types of books for $45 or less.

Therefore, The inequality representing the context is,

5p + 9h ≤ 45.  (As the cost van be $45 or less not only less)

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the blue bucket holds 5 x 4 = 20 cups of water.

what is a probability?

In mathematics, probability is a measure of the likelihood or chance of an event occurring. It is represented as a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain.

Since 1 quart of water is equivalent to 2 pints of water and 1 pint of water is equivalent to 2 cups of water, then 1 quart of water is equivalent to 4 cups of water (2 pints x 2 cups per pint = 4 cups).

To determine which bucket holds more water, we need to know the amount of water in the other bucket. Without that information, we cannot compare the two buckets.

Assuming that Janelle filled the other bucket with water as well, we would need to know how many cups of water it holds in order to compare the two buckets.

Therefore, the blue bucket holds 5 x 4 = 20 cups of water.

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Answer:

A : B = 2 : 3 B : C = 4 : 5. Now, to find A : B : C, we need to make the value of B equal in A : B ratio and B : C ratio. Here, Value of B in A : B ratio is 3; and B : C ratio is 4. LCM of 3 and 4 is 12. Therefore, we multiply 4 to the first ratio and 3 to the second ratio. A : B = 2 × 4 : 3 × 4 A : B = 8 : 12 Also, B : C = 4 × 3 : 5 × 3 B : C = 12 : 15 Now, we can combine A : B and B : C. A : B : C = 8 : 12 : 15.

Step-by-step explanation:

the answer:  12 : 15

Answer:

             a = 60

             b = 80, and

             c = 100

Step-by-step explanation:

Be patient, this requires a few tedious steps.

We can take the first expression and pick one of the unknowns, I'll choose a, and rearrange the expressions such that a is expressed as a function of b and c.

Since:

a/3 = b/4 = c/5

We can separate out the values of b and c and express them as a function of a.

For example, a/3 = b/4 can be rewritten as

a/3 = b/4

4a = 3b

b = (4/3)a

When we're ready, we can substitute this value for b in the second equation, thereby eliminating b from the 2nd equation.

First, let's do the same for c:

a/3 = c/5

5a = 3c

c = (5/3)a

Now we can use the values for both b and c expressed only with "a" as the variable.  Use these values for b ((4/3)a) and c ((5/3)a) in the second equation:

240 - b = a + c

240 - (4/3)a = a + (5/3)a

240 = = a + (5/3)a +  (4/3)a

240 = (3/3)a + (5/3)a + (4/3)a

240 = (12/3)a

a = (240)*(3/12)

a = 60

Now that we have a, we can use the relationships we established at the start:

b = (4/3)a

b = (4/3)(60)

b = 80

c = (5/3)a

c = (5/3)(60)

c = 100

==

Summary

             a = 60

             b = 80, and

             c = 100

============

Do these work?

Check the numbers for 240 - b = a + c

                                    240 - 80 = 60 + 100 ?  

                                               160 = 160                          YES

And does  a/3 = b/4 = c/5?

                                 a/3 =  60/3 = 20

                                 b/4 =  80/4 = 20

                                 c/5 = 100/5 = 20                             YES

The surface area of the rectangular prism is 88 square inches.

Given that:

Length, L = 6 inches

Width, W = 2 inches

Height, H = 4 inches

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

SA = 2(6 x 2 + 2 x 4 + 4 x 6)

SA = 2 (12 + 8 + 24)

SA = 2 x 44

SA = 88 square inches

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The answer to your question is that the only way to demonstrate causation is to conduct a controlled experiment. This domain involves manipulating one variable and measuring the effect it has on another variable while holding all other variables constant.

correlation simply shows a relationship between two variables, but it doesn't prove that one variable causes the other. There could be other factors at play that are influencing both variables. For example, there may be a correlation between ice cream sales and crime rates, but this doesn't mean that ice cream causes crime or vice versa. It's possible that a third variable, such as temperature, is influencing both ice cream sales and crime rates.

further into the complexities of establishing causation, such as the need for random assignment in experimental studies, the importance of replicating findings, and the challenges of applying experimental findings to real-world situations. However, the key point is that a controlled experiment is the most reliable method for establishing a causal relationship between variables.

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Answer:

The angle x° = 34°

Step-by-step explanation:

Given the right-angled triangle

We know that the sum of angles of a triangle = 180°

so

90° + 56° + x° = 180°

x° = 180°- 90° - 56°

x° = 34°

Therefore, the angle x° = 34°

In multiple regression analysis, the correlation among the independent variables is termed multicollinearity.

Multicollinearity occurs when two or more independent variables in a regression model are highly correlated with each other.

This can cause problems in the regression analysis because it makes it difficult to identify the unique contribution of each independent variable to the dependent variable.

Multicollinearity can also lead to unstable regression coefficients, inflated standard errors, and inaccurate hypothesis tests.

Therefore, it is important to test for multicollinearity and to take appropriate steps to address it if it is found, such as removing one of the highly correlated variables or combining them into a single variable.

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x^5y^2/xy^2

= x^5-1 * y^2-2

= x^4

Answer:

x^4

Explanation:

I took the test.

Answer: 75% of $13.50 is 10.125

Step-by-step explanation:

Answer:

10.125

Step-by-step explanation:

13.50 x .75 = 10.25

Based on the information provided, the null hypothesis that will be rejected is H: μ = 161.7 mins (Option A).

To determine which null hypothesis will be rejected, we need to compute the test statistic and compare it to the critical value. First, we need to calculate the standard error of the mean:

SE = σ/√n = 45/√758 ≈ 1.639

where σ is the population standard deviation (given as 45) and n is the sample size (given as 758).

Next, we need to calculate the test statistic:

t = (X - μ) / SE = (165 - μ) / 1.639

where X is the sample mean (given as 165) and μ is the hypothesized population mean.

At a 95% confidence level with 757 degrees of freedom (df = n - 1), the critical t-value is ±1.960.

Now we can test each null hypothesis:

A) H: μ = 161.7 mins

t = (165 - 161.7) / 1.639 ≈ 2.008

The calculated t-value (2.008) is greater than the critical t-value (1.960), so we reject the null hypothesis H: μ = 161.7 mins.

Therefore, the null hypothesis that will be rejected is H0: μ = 161.7 mins (Option A).

Note: This question is incomplete; here are the missing answers:

A H: μ=161.7 mins

B H: μ=162.0 mins

C H: μ=162.8 mins

D H: μ=167.9 mins

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Answer:

x = 10

Step-by-step explanation:

9x + 9 = 8x + 19

9x - 8x = 19 -9

x =10

Answer:

10

Step-by-step explanation:

Angles are alternate exterior and congruent

9x + 9 = 8x + 19

9x - 8x = 19 - 9

x = 10  

Answer:

7/36

Step-by-step explanation:

7/8 x 2/9

=> Multiply the numerators and the denominators

=> 7 x 2 / 8 x 9

=> 14 / 72

=> 7/ 36

Answer:

4 times

Step-by-step explanation:

it wont go smaller than 3/4 so it is 4 times

Step-by-step explanation:

divide our by 2 four times.

that is the same as dividing by 2⁴ = 16

and that would render the fraction to 3/4.

Answer:

Susie reaches the store first being ahead by 0.06 hours.

Step-by-step explanation:

20 miles going 45 miles/hour.

20 miles / (45 miles / hour) = 20 miles hours / 45 miles =

= 20 hours / 45 = 4/9 hours = 0.44 hours

25 miles going 50 miles/hour.

25 miles / (50 miles / hour) = 25 miles hours / 50 miles =

= 25 hours / 50 = 1/2 hours = 0.5 hours

So Susie needs less time (= arrives first).

the difference is 0.5 - 0.44 = 0.50-0.44 = 0.06 hours

as additional practice :

0.06 hours is 60 × 0.06 minutes.

60 × 0.06 = 60 × 6 / 100 = 360 / 100 = 3.6 minutes.

I think it would be ef because they are across from each other.

Answer:

lineAF, CE, EF

Step-by-step explanation:

Every line except AB, because a line don't curve.

Hope u understood.

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Thank You

Angles Formulas at the center of a circle can be expressed as:

Central angle, θ = (Arc length × 360º)/(2πr) degrees

Sum of Interior angles=180°(n-2)

The angles formulas are used to find the measures of the angles. An angle is formed by two intersecting rays, called the arms of the angle, sharing a common endpoint.

The corner point of the angle is known as the vertex of the angle. The angle is defined as the measure of the turn between the two lines.

There are various types of formulas for finding an angle; some of them are the central angle formula, double-angle formula, etc...

We use the central angle formula to determine the angle of a segment made in a circle.

We use the sum of the interior angles formula to determine the missing angle in a polygon.

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Answer:

\(x_{M}\) = - 1

Step-by-step explanation:

The coordinates of the midpoint are the average of the x and y coordinates of the endpoints , that is

\(x_{M}\) = \(\frac{4-6}{2}\) = \(\frac{-2}{2}\) = - 1