Which line is parallel to the line 8x + 2y = 12?

Help ASP please!!!

Answer:

albinia modern alpinia is not a magnet is called the albanian language

Answer:

I know mrden algebra because I am in algebra

Step-by-step explanation:

Answer:

x + 1.4x = 180

2.4x = 180

x = 75, so 1.4(75) = 105

Answer:

The four points that appear on the line are:

B- (0,-9)

D-(9,-3)

E-(6,-5)

F-(3,-7)

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y = mx + b

Being m the slope and b the y-intercept.

We are given the values of m=2/3 and b=-9, so the equation of the line is:

y = 2/3 x - 9

We must select from the list below the points that lie on the line. To test each point, we substitute the value of x and calculate the value of y. If it matches the given y-coordinate, then the point lies on the line.

Calculate: y = 2/3 (2) - 9 = -23/3.

This point is not on the line because -23/3 ≠ 3

Calculate: y = 2/3 (0) - 9 = -9.

This point is on the line because -9 = -9

Calculate: y = 2/3 (1) - 9 = -25/3.

This point is not on the line, because -25/3 ≠ 3

Calculate: y = 2/3 (9) - 9 = -3.

This point is on the line because -3 = -3

Calculate: y = 2/3 (6) - 9 = -5.

This point is on the line because -5 = -5

Calculate: y = 2/3 (3) - 9 = -7.

This point is on the line because -7 = -7

The four points that appear on the line are:

B- (0,-9)

D-(9,-3)

E-(6,-5)

F-(3,-7)

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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The purchasing power in five years will be $15,476.

To predict the purchasing power in five years, we can substitute the value of X as 5 into the equation y = 20000(0.95)^X.

Plugging in X = 5, we have:

\(y = 20000(0.95)^5\)

Calculating the expression, we find:

\(y ≈ 20000(0.774)\)

Simplifying further, we get:

\(y ≈ 15480\)

Rounding the result to the nearest dollar, the predicted purchasing power in five years would be approximately $15,480.

Therefore, the closest option to the predicted purchasing power in five years is $15,476.

So the correct answer is:

$15,476.

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Rounding to the nearest dollar, the predicted purchasing power in five years is approximately $15,480.

To predict the purchasing power in five years using the given equation, we substitute the value of x (representing the number of years) as 5 and calculate the result.

The equation provided is: y = 20000(0.95)^x

Substituting x = 5 into the equation, we have:

y = 20000(0.95)⁵

Now, let's calculate the result:

y ≈ 20000(0.95)⁵

≈ 20000(0.774)

y ≈ 20000(0.774)

≈ 15,480

This means that, according to the given equation, the purchasing power of $20,000, with an inflation rate of five percent, would be predicted to be approximately $15,480 after five years.

By changing the value of x (representing the number of years) to 5, we can use the preceding equation to forecast the buying power in five years.

The example equation is: y = 20000(0.95)^x

When x = 5 is substituted into the equation, we get y = 20000(0.95).⁵

Let's now compute the outcome:

y ≈ 20000(0.95)⁵ ≈ 20000(0.774)

y ≈ 20000(0.774) ≈ 15,480

This indicates that based on the equation, after five years, the purchasing power of $20,000 would be estimated to be around $15,480 with a five percent inflation rate.

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The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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The exponential function that passes through (-3,1/2) and (1,8) is y = 4\(e^{0.69x}\).

In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.

Suppose the exponential function as

y = a\(e^{bx}\)

Put (-3,1/2)

1/2 = a\(e^{-3b}\)

Put (1,8)

8 = a\(e^{b}\)

Divide both equations as

a\(e^{b}\) / a\(e^{-3b}\) = 8/(1/2)

\(e^{4b}\) = 16

Take logs on both sides,

4b = ln 16

b = 0.69

Put b = ln 16 / 4 into  8 = a\(e^{b}\)

a = 4

Thus, the equation will be y = 4\(e^{0.69x}\).

Hence "y = 4 is the exponential function that runs between (1,8) and (-3,1/2)".

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Answer:

First find the sales tax: $160 \times 0.0785 = $12.56.

Then add the sales tax to the price of the purchase to find the total cost: $160 + $12.56 = $172.56.

Next find the daily interest rate: $0.042\% = 0.00042$.

Then multiply the daily interest rate by the total cost to find the interest per day: $0.00042 \times $172.56 = $0.0725752$.

Finally, multiply the interest per day by 30 days to find the total interest and add it to the total cost to find the final answer: $0.0725752 \times 30 = $2.177256 + $172.56 = $174.737256 \approx $174.74.

So the answer is b.

The Intel pays $7,760 to Bally Manufacturing on August 14.

The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.

The trade discount of 40% is calculated as follows:

Discount = List price × Discount rate

Discount = $13,100 × 0.40 = $5,240

So the net price of the machinery after the trade discount is:

Net price = List price - Discount

Net price = $13,100 - $5,240 = $7,860

After Intel returns $100 of machinery, the cost of the machinery is further reduced to:

Net price after return = Net price - Return

Net price after return = $7,860 - $100 = $7,760

Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.

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Answer:

3.0000

Step-by-step explanation:

Answer:

i'm assuming you mean tenth so 3

Step-by-step explanation:

you start by looking at just 2.97, the seven will round the 9 up to a ten so you will add one to the 2 and end up with 3 as your answer

Answer:

63

Step-by-step explanation:

Answer:

The interest rate is 8% p.a.

Step-by-step explanation:

Simple interest changes by the same amount each year (per annum)

So in this case, it is $480 per year ($4800/10 years)

480/6000 = is 8%

The interest rate is 8% p.a.

Answer:

hey I hope it helps you

R=8%

Step-by-step explanation:

P=$6,000, T=10yrs and I=$4,800 and R=?

I=PRT/100

4800=6000xRx10/100

cross multiply

60000R=480000

divide both sides by 60000

R=8%

The media personality's argument is flawed because they are basing their conclusion on a single year's data and ignoring the overall trend of increasing global temperatures. To counter this argument, one can make the following points:

1. While it is true that the annual increase in temperature may be less than the margin of error, the trend of increasing temperatures over several decades cannot be ignored. The margin of error is a statistical concept that takes into account the uncertainty in the measurement, but it does not negate the overall trend.

2. Global temperature records show that the Earth's temperature has been steadily rising over the past century, with the 10 warmest years on record occurring since 2005. This trend cannot be explained by natural variability alone and is consistent with the effects of human-caused climate change.

3. The consequences of rising global temperatures, such as melting glaciers, rising sea levels, and more frequent extreme weather events, are already being felt around the world. Ignoring this trend could have devastating consequences for future generations.

In summary, the media personality's argument is based on a flawed understanding of statistics and ignores the overall trend of increasing global temperatures. The best counterargument is to highlight the overwhelming evidence of climate change and its potential consequences.

We have the following coefficients of the quadratic function:

a = -10

b = 23

c = -12

And we need to find the roots to that function, using the formulas:

In order to do so, we need to replace each constant with its numerical value. So, we obtain:

Now, the second formula is similar to the first one: we only need to change the sign before the square root. Thus, we obtain:

The ratio 10:35 can be simplified to 2:7.

A ratio in mathematics demonstrates how many times one number is present in another.

For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.

Similarly, the ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.

The ratio 10:35 can be simplified to 2:7.

To simplify a ratio, you can divide both values by the greatest common factor. In this case, the greatest common factor of 10 and 35 is 5, so 10 divided by 5 is 2, and 35 divided by 5 is 7.

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Simply the following ratio 10:35

Answer:

one and three ninths tarts.

Step-by-step explanation:

7/9+5/9=12/9. Convert to a mixed number so subtract 9 from 12. 1 3/9

Answer:

1 3/9ths

Step-by-step explanation:

The slope of the straight line is 3.

What is slope of a line?

Slope is the measure of steepness. Slope is determined by the tangent of angle a line makes with the x-axis. It is calculated as rise over run. Mathematically for the coordinates (a, b) (c, d) it can be given as \(\frac{d-b}{c-a}\).

We are given a table which contains some coordinates of a straight line

We have to find the slope of the line

This can be done as

Slope\(=\frac{8-5}{2-1}\)

Slope\(=3\)

Hence the slope of the line is 3.

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The inverse of the equation is determined as \(y = \log_{6}(-3x)\).

option D is the correct answer.

The inverse of the equation is calculated by applying the following method;

The given equation;

y = - 6ˣ/3

The inverse of the equation is calculated as;

multiply through by 3

\(-3x = 6^y\)

Take the logarithm of both sides of the equation with base -6:

\(\log_{6}(-3x) = y\)

Finally, replace y with x to obtain the inverse equation as follows;

\(y = \log_{6}(-3x)\)

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Answer:

22 1/2

Step-by-step explanation:

The year the population of that city was 290,000 is 1988.

A model function is a mathematical or computational representation of a system or process that is designed to capture its behavior, relationships, and interactions.

The model is p(x) = 80,000 ∛(x - 1940)

Now use p(x) = 290,000and solve for x

290,000 = 80,000 ∛(x - 1940) =

290,000 / 80,000 = ∛(x - 1940)

29/8 = ∛(x - 1940)

x - 1940 = [29/8]³

x - 1940 = 47.63

x = 1940 +  47.63

x = 1987.63

Therefore, the year is 1988

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The next nice year will be 2 nice.

The nice year that will be the first one after it is 4 nice.

It should be noted that an exponent is used to express the numbers that are either too big or too small. This is usually expressed in their powers.

Fron the information, it as stated that a year is called "nice" if its number can be represented as the difference of two powers of two.

The next nice year will be the difference which will be

= (2² - 2) × nice

= (4 - 2) × nice

= 2 nice.

The one after it will be:

= 2 × 2 nice

= 4 nice.

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The joint costs allocated to Product B is $240,000.

We must allocate joint costs based on the relative physical quantities produced by each product.

The total physical quantity produced by both products is:

= Quantity of A + Quantity of B

= 10,000 + 40,000

= 50,000 pounds

We will calculate the proportion of physical quantity produced by product A:

= Quantity of B / Total physical quantity

= 40,000 / 50,000

= 0.8

The amount of joint costs allocated to Product B is will be

= Total joint costs x Proportion of

= $300,000 x 0.8

= $240,000.

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Answer:

D. 28

Step-by-step explanation:

We are given the following polynomial function:

\(F(x) = x^2 - 2x - 7\)

Find F(-5).

This is the value of F for which \(x = -5\). So

\(F(-5) = (-5)^2 - 2(-5) - 7 = 25 + 10 - 7 = 28\)

28, which means that the correct answer is given by option D.

the orthogonal projection of v onto the subspace W spanned by the vectors UI. v = 1 2 3 , u1 = 1 −1 1 , u2 = −1 1 2 then The orthogonal projection of v onto W is (1/6) (4, 4, 9).

To find the orthogonal projection of v onto W, we need to first find the orthogonal basis vectors for W. Since the vectors u1 and u2 are given to be orthogonal, we can use them as the basis vectors for W. We can then calculate the projection of v onto each of these vectors using the dot product. This gives us the components of the projection vector. Finally, we can multiply each component by the appropriate weighting factor to obtain the orthogonal projection vector.

Let v = (2, 3, 4)

Let u1 = (1, 0, 0) and u2 = (0, 1, 0)

The projection of v onto u1 is given by:

(2, 3, 4) • (1, 0, 0) = 2

The projection of v onto u2 is given by:

(2, 3, 4) • (0, 1, 0) = 3

The orthogonal projection vector of v onto W is then given by:

2u1 + 3u2 = (2, 3, 0)

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Answer:

4) 8

Step-by-step explanation:

In the formula y = mx + b, m is the slope and b is the y-intercept

m = 8

b = -1

If m = 8 and m is the slope, then the slope is 8

Answer: 1. sample mean = 97.7; sample standard deviation(s) = 9.9467; standard error (SE) = 2.2241

2. t-critical value = 2.861; margin of error (m) = 97.9 ± 6.363

3. Lower limits = 91.537; upper limit = 104.263

4. d. Sheila is 99% confident that the true population mean is between 91.537 points and 104.263 points.

Step-by-step explanation: Knowing that this sample has 20 individuals, which means n = 20:

1. Sample mean is the average of the data set:

mean = \(\frac{81+84+...+115+116}{20}\) = 97.9

Sample standard deviation is the spread of the sample data set from the mean:

s = \(\sqrt{\frac{(81-97.9)^{2}+...+(116-97.9)^{2}}{20-1} }\) = 9.9467

Standard Error shows how far the mean of the set is from the true popultaion mean:

SE = \(\frac{9.9467}{\sqrt{20} }\) = 2.2241

2. The t-critical value (t) is the value you use to decide if you reject or accept the null hypothesis. It can be calculated by a calculator or found in the t-test table. To use the table:

Degrees of freedom for this set is: n - 1 = 19

Critical value (α) = 0.99. For the t-test: \(\frac{1-0.99}{2}\) = 0.005

\(t_{19,0.005}\) = 2.861

Margin of error (m) shows, in percentage, how different your results are from the real population value. It is calculated as:

m = 97.9 ± 2.861*2.2241 = 97.9 ± 6.363

3. Lower and Upper limits are the interval the true mean can assume with a determined certainty.

lower limit = 97.9 - 6.363 = 91.537

upper limit = 97.9 + 6.363 = 104.263

4. In this case, the statistics shows that the true population mean is between 91.537 and 104.263, 99% of the time.

Statistical analysis involves the collection, organization and summarization of data, followed by the use of descriptive and inferential statistics, and regression analysis to draw meaningful conclusions from the data.

The process of statistical analysis involves the collection of data, organizing it, and summarizing it in an understandable way. After summarizing the data, the analyst can then use a variety of techniques to analyze the data. For example, the analyst may use descriptive statistics such as the mean, median, and mode to describe the data. The analyst may also use inferential statistics such as chi-square tests or correlation tests to determine the relationships between variables. Finally, the analyst may use regression analysis to predict future outcomes based on the data. All of these techniques involve the use of mathematics, primarily algebra and calculus, to solve equations and generate the desired results. Ultimately, the goal of statistical analysis is to draw meaningful conclusions from the data that can be used to inform decision-making.

Statistical analysis involves the collection, organization and summarization of data, followed by the use of descriptive and inferential statistics, and regression analysis to draw meaningful conclusions from the data.

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Answer:

a) Calculate the probability that at least one of them suffers from arachnophobia.

x = number of students suffering from arachnophobia

= P(x ≥ 1)

= 1 - P(x = 0)

= 1 - [0.05⁰ x (1 - 0.05)¹¹⁻⁰ ]

= 1 - (0.95)¹¹

= 0.4311999 = 0.4312

b) Calculate the probability that exactly 2 of them suffer from arachnophobia? 0.08666

=  P(x = 2)

=  (¹¹₂) x (0.05)² x (0.95)⁹

where ¹¹₂ = 11! / (2!9!) = (11 x 10) / (2 x 1) = 55

= 55 x 0.0025 x 0.630249409 = 0.086659293 = 0.0867

c) Calculate the probability that at most 1 of them suffers from arachnophobia?

P(x ≤ 1)

= P(x = 0) + P(x = 1)    

= [(¹¹₀) x 0.05⁰ x 0.95¹¹] + [(¹¹₁) x 0.05¹ x 0.95¹⁰]

= (1 x 1 x 0.5688) + (11 x 0.05 x 0.598736939) = 0.5688 + 0.3293 = 0.8981