Write the equation 2 x + 3y = 12 in slope intercept form

Answer:

y = 679.952

Step-by-step explanation:

It is given that, the value of y varies directly with x.

y₁ = 85, x₁ = 14

\(y\propto x\\\\y=kx\\\\k=\dfrac{y}{x}\\\\k=\dfrac{85}{14}\\\\k=6.071\)

We need to find the value of y when x is 112.

\(y=k\times x\\\\=6.071\times 112\\\\y=679.952\)

So, the value of y is 679.952 when x is 112.

Answer:

please see answers below

Step-by-step explanation:

a) if length, L, is 8 inches more than the width, W, then we can say

L = W + 8.

b) L X W = 65

(W + 8) X W = 65

W² + 8W = 65

subtract 65 from both sides:

W² + 8W - 65 = 0.

we can use completing the square, quadratic formula or factorisation to solve.

I will use completing the square.

1) put the W, not W ², in parenthesis.

2) half the coefficient (8) of W. that is 4. Put that into same parenthesis. Square the parenthesis.

3) we have (W + 4)²

4) Subtract (+4) ²  = 16 from this.

5)[(W + 4) ² - 16] – 65 = 0

6) now we have (W + 4) ² – 81 =0

7) (W + 4) ² = 81

8) (W + 4) = ± √81

9) W = ± √81  - 4

10) W = ±9 - 4. W = -13 or W = 5.

lengths are widths are positive, so W must be positive. So we choose 5.

L = W + 8 = 5 + 8 = 13.

check if it works for the area of 65.

L X W = 13 X 5 = 65.

so length is 13 inches and width is 5 inches

Answer:

read explanation

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = −17

Answer:

x=17/11

Step-by-step explanation:

7x-2(x+12)=-5-2(1-3x)

First, you want to get rid of the parenthies.

7x-2x-24=-5-2+6x

Now, you want to combine all of the common terms

5x-24=-7+6x

11x-24=-7

Next, you want to add 24 to each side.

11x-24=-7

   +24  +24

Now, you want to divide 11 from both sides.

11x=17

---   ---

11    11

x=17/11

TRUE extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.

"Information available from the question"

In the question:

Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.

Answer in True or False.

Now, According to the question:

Let's Know:

What is extrapolation?

A statistical technique called extrapolation aims to understand the unknown data from the known data. It uses historical data to attempt to predict future data. For instance, using the current population size and growth rate to project the size of a population in a few years.

Predicting hypothetical values outside of a specific data set is the goal of extrapolation.

Contrary to interpolation, which typically focuses on estimating past values, extrapolation is used to predict unknown future values due to its predictive nature.

Hence, TRUE extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.

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Answer:

98 in.^2

Step-by-step explanation:

The lateral area is the sum of the areas of the 3 rectangular sides.

The triangular sides are the bases.

lateral area = 7.2 in. * 5 in. + 3 in. * 5 in. + 9.4 in. * 5 in.

lateral area = 36 in.^2 + 15 in.^2 + 47 in.^2

lateral area = 98 in.^2

Answer: A)

Step-by-step explanation:

Total number of athletes = 35 + 24 + 22 = 81

A) Correct

B) Tennis to basketball ratio - 22:35 NOT 35:22 (wrong placement)

C) Basketball to soccer ratio - 35:24 NOT 25:59 (incorrect number of players)

D) Total number of athletes is not 59 so it is incorrect

Answer:

Step-by-step explanation:

At first,

Let start writing the squares of number 0 to 10,

0²=0

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

Now,

According to your question,

Hence, your given conditions matches with the numbers 64 and 36.

Therefore, the numbers are 64 and 36.

Answer:

Maybe 40

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

22/55=0.40

Hope this helps! Plz award Brainliest : )

Answer:

The answer is 293.57.

Hope you do great!

Step-by-step explanation: The way you do it is by seeing the 100% of any number and subtracting the 30% off and then divide the number by 70% and then multiply that number by the original 100%!

Answer:24

Step-by-step explanation: AB= x+8, BC=4x-4. They are equal to each other because B is the midpoint of A and C. therefore, we set them to equal, and simplify to 3x=12.(x+8=4x-4,-x, 8=3x-4, +4, 3x=12 ) That means x = 4, and then we plug that into the equations, getting AB and BC are both 12. We add them together and get 24/

Answer:

Step-by-step explanation:

given: B is the midpoint of AC

   so,             AB=BC

   i,e,         x + 8 = 4x - 4

                 8 + 4 = 4x - x

                     12  =  3x

                 12/3   = x

                  ∴ x = 4

so, AB = x + 8 = 4 + 8 = 12

     BC = 4x - x =4(4) - 4 = 16 - 4 = 12

                         12        +       12

                     о------------о------------о

                     A              B              C

                             AC = AB + BC = 12 + 12 = 24

                                        AC = 24

We are 90% confident that the true difference between the mean strengths of the two types lies between 0.015 and 0.105. The data does not show at the 0.05 level that the mean strengths are different, with a p-value of approximately 0.055. Therefore, we fail to reject the null hypothesis that the means are equal.

To find a 90% confidence interval for the difference in the mean strengths of the two types, we can use the two-sample t-test with pooled variance. The formula for the confidence interval is:

\($(\bar{x}_1 - \bar{x}2) \pm t{\alpha/2,\nu} \cdot s_p \cdot \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}$\)

Plugging in the given values, we get:

\(\bar{x}1 = 3.18, \bar{x}2 = 3.24, n_1 = 5, n_2 = 7, s_p = \sqrt{\frac{ (n_1 - 1)s_1^2 + (n_2 - 1)s_2^2 }{ df }} = \sqrt{\frac{ (40.042^2 + 60.048^2) }{ 10 }} = 0.046, t{\alpha/2,\nu} = t{0.05/2,10} = 2.306$\)

Therefore, the 90% confidence interval for the difference between the mean strengths of the two types is:

\($(3.24 - 3.18) \pm 2.306 \cdot 0.046 \cdot \sqrt{\frac{1}{5}+\frac{1}{7}} = 0.06 \pm 0.045$\)

So the interval is (0.015, 0.105).

Thus, we are 90% confident that the true difference between the mean strengths of the two types lies between 0.015 and 0.105.

To test whether the mean strengths are different, we can use a two-tailed hypothesis test with a significance level of 0.05. The null hypothesis is that the means are equal, while the alternative hypothesis is that they are different. We can calculate the t-value as:

\($t = \frac{\bar{x}_1 - \bar{x}_2}{s_p \cdot \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}} = \frac{3.18-3.24}{0.046 \cdot \sqrt{\frac{1}{5}+\frac{1}{7}}} = -2.13$\)

The degrees of freedom are the same as before, \($df = n_1 + n_2 - 2 = 10$\)

The p-value is the probability of getting a t-value at least as extreme as the observed one, assuming the null hypothesis is true. From a t-distribution table, we can find that the p-value for t = -2.13 with df = 10 is approximately 0.055. Since this is greater than the significance level of 0.05, we fail to reject the null hypothesis.

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Answer:

60

Step-by-step explanation:

every 1 hour, he is going 60 miles

Yes, this sample of the trees in the county likely to be representative if each forest is the same size.

Representative sample, the sample must accurately reflect the population studied in demographics and characteristics of the chosen subjects.

For example, a representative sample will reflect only those within the study population and should not extend to those outside the study. If Jose is interested in studying the exercise habits of college athletes, only the population of college athletes should be considered for the selection of a representative sample. Jose will not choose athletes from high school or career athletes as part of his representative sample.

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Answer: x = 12

Step-by-step explanation:

\(4x-20=-2(-3x+22)\)

Begin by distributing -2

\(4x-20=6x-44\)

Subtract 6x

\(4x-6x-20=-44\)

Add 20

\(4x-6x=-44+20\)

Combine like terms;

\(-2x=-24\)

Divide by -2

\(x=\frac{-24}{-2}\\ x=12\)

Answer: Weird

Step-by-step explanation: Maybe calculate all the numbers I guess.

a) The Michelson-Morley experiment is important as it challenged the concept of the luminiferous ether and contributed to the development of the theory of special relativity.

(b) The experiment's findings showed no significant variation in the speed of light due to Earth's motion, contradicting the prevailing belief in the ether and supporting the notion of a constant speed of light.

(a) The Michelson-Morley experiment is important because it played a significant role in the development of the theory of special relativity and challenged the prevailing notion of the luminiferous ether, a hypothetical medium believed to be responsible for the propagation of light waves. The experiment's null result had profound implications for our understanding of the nature of light and the fundamental principles of physics.

(b) The findings of the Michelson-Morley experiment were contrary to the expectations of the time. They failed to detect any significant variation in the speed of light due to Earth's motion through the supposed ether. The experiment provided strong evidence against the existence of the luminiferous ether and supported the idea that the speed of light is constant and independent of the observer's motion.

(c) The Michelson interferometer is based on the principle of interference of light waves. It consists of a beam splitter that splits an incident light beam into two perpendicular paths, creating two separate beams. These beams then reflect off mirrors and recombine at the beam splitter, leading to interference. By measuring the resulting interference patterns, the Michelson interferometer can be used to detect minute changes in the relative lengths of the two paths, such as those caused by the Earth's motion through space or other physical phenomena. This principle forms the basis for a wide range of applications, including measuring small displacements, testing the constancy of the speed of light, and conducting various scientific experiments.

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To compare the 3-month and 12-month moving average forecasts using the mean absolute deviation (MAD) criterion, we need to calculate the MAD for each model and then compare them. The MAD is a measure of the average magnitude of the forecast errors, and a lower MAD indicates a better forecast.

To calculate the MAD for the 3-month moving average model, we need to first calculate the forecasted values for each month by taking the average of the unemployment rates for the previous 3 months. For example, the forecasted value for April 2018 would be the average of the unemployment rates for January, February, and March 2018. We then calculate the absolute deviation between the forecasted value and the actual value for each month, and take the average of those deviations to get the MAD for the 3-month moving average model.

We can repeat this process for the 12-month moving average model, but instead of taking the average of the previous 3 months, we take the average of the previous 12 months.

Once we have calculated the MAD for both models, we can compare them to determine which model yields better results. Generally, a lower MAD indicates a better forecast. However, it is important to note that the MAD criterion only considers the magnitude of the forecast errors and does not take into account the direction of the errors (i.e., overestimation versus underestimation).

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Full Question ;

The accompanying dataset provides data on monthly unemployment rates for a certain region over four years. Compare 3- and 12-month moving average forecasts using the MAD criterion. Which of the two models yields better results? Explain. Click the icon to view the unemployment rate data. Find the MAD for the 3-month moving average forecast. MAD = (Type an integer or decimal rounded to three decimal places as needed.) A1 fx Year D E F G H I 1 2 3 1 с Rate(%) 7.8 8.3 8.5 8.9 9.4 9.6 9.4 9.5 9.7 9.9 9.8 10.1 9.9 9.7 9.8 9.91 9.7 9.4 9.6 9.4 9.3 9.5 9.9 9.5 9.2 9.1 8.9 A B Year Month 2013 Jan 2013 Feb 2013 Mar 2013 Apr 2013 May 2013 Jun 2013 Jul 2013 Aug 2013 Sep 2013 Oct 2013 Nov 2013 Dec 2014 Jan 2014 Feb 2014 Mar 2014 Apr 2014 May 2014 Jun 2014 Jul 2014 Aug 2014 Sep 2014 Oct 2014 Nov 2014 Dec 2015 Jan 2015 Feb 2015 Mar 2015 Apr 2015 May 2015 Jun 2015 Jul 2015 Aug 2015 Sep 2015 Oct 5 7 3 ) 1 2 3 1 5 7 9.1 ) 9. 1 2 3 1 5 7 ) 9.1 8.9 8.9 8.9 8.9 8.7 8.4 8.3 8.3 8.4 8.1 8.1 8.4 8.2 8.3 7.7 7.9 7.9 7.8 1 2 2015 Dec 2016 Jan 2016 Feb 2016 Mar 2016 Apr 2016 May 2016 Jun 2016 Jul 2016 Aug 2016 Sep 2016 Oct 2016 Nov 2016 Dec 3 1 5 3 2 2

  The ant's entire distance travelled along its semicircular journey is its total distance travelled overall. The ant is travelling around a circle with radius R, thus the distance it has travelled is equal to half of the circle's circumference, πR.

The change in the ant's position is represented by a vector quantity called the displacement of the ant. The ant in this scenario begins at one end of the semi-circular path and moves 2R away from the beginning point to reach the other end. The direction of the displacement vector is from the starting point to the ending point, and the displacement's magnitude is equal to the 2R distance between the two points.

    So, the option c is most suitable option.

Therefore, πR and 2R are the ant's displacement and the distance travelled, respectively.

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Answer:

What is the expression? All I see are the answers.

Step-by-step explanation:

Answer:

3

Step-by-step explanation: 15 divided by 3 is 5, 30 divided by 3 is 10

To find the Cartesian products of three sets: A = {a, b}, B = {1, 2}, and C = {2, 3}, you need to form all possible ordered pairs from the given sets.

1. A x B: This is the set of all ordered pairs with the first element from set A and the second element from set B.
A x B = {(a, 1), (a, 2), (b, 1), (b, 2)}

2. A x C: This is the set of all ordered pairs with the first element from set A and the second element from set C.
A x C = {(a, 2), (a, 3), (b, 2), (b, 3)}

3. B x C: This is the set of all ordered pairs with the first element from set B and the second element from set C.
B x C = {(1, 2), (1, 3), (2, 2), (2, 3)}

These are the Cartesian products of the sets A, B, and C.

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Answer:

22.8

Step-by-step explanation:

Answer trsut it or don't i dont care

Answer:

20 in²

Step-by-step explanation:

The formula to find the area of the rectangle is:

Given that, the rectangle measures 25/2 inches by 8/5 inches.

Let us solve it now.

Area =  Length × Width

        = \(\frac{25}{2}\) × \(\frac{8}{5}\)

        = \(\frac{25*8}{2*5}\)

        = \(\frac{200}{10}\)

        = 20 in²

The simplified expression of (7 + 12i) × (7 + 12i) is -95 + 168i.

To perform the indicated operation and simplify, we'll multiply the expression (7 + 12i) by itself

(7 + 12i) × (7 + 12i)

Using the distributive property, we can expand this expression

= 7 × (7 + 12i) + 12i × (7 + 12i)

= 49 + 84i + 84i + 144i²

Since i² is equal to -1, we can simplify further:

= 49 + 168i + 144(-1)

= 49 + 168i - 144

= -95 + 168i

Therefore, the simplified expression is -95 + 168i.

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Answer:

10

Step-by-step explanation:

Using the distance formula,

\( \sqrt{ {( - 2 - ( - 8))}^{2} + { (- 4 - 4)}^{2} } = 10\)

Answer:

  all real numbers

Step-by-step explanation:

The domain of any polynomial function is "all real numbers."

A circle has central angle 144° and arc length of 4 units. The area of the corresponding sector is 7.96 square units.

A sector of a circle is an area enclosed by two radii and an arc. The formula for the area of a sector is given by:

Area of sector = (central angle/360°) x πr²

Hence, we must find the radius of the circle first using the arc length information.

Arc length = (central angle/360°) x 2πr

4 =  (144°/360°) x 2πr

r = 4 x 360°/(144° x 2π)

 = 1.59 units

The area of the circle is given by:

A = πr²

   = = π(1.59²) = 7.96 square units

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Since the x-coordinate is the one that changed, this is a horizontal reflection over the y-axis.  

If you put this on a graph, you'll see the two points are opposite each other, with respect to the y-axis.

Answer:

The value of V is  double of Q is

D)  V = 2Q

Step-by-step explanation:

A)

  The value of V is the square of Q

        V = Q²

B)

The value of V is the addition '2' of Q

       V = Q+2

C)

The value of V is the divided 'Q' by'2'

  V = Q/2

D)

The value of V is  double of Q is in notation

V = 2Q