5n +34 =-2(1 -7n)
show ur understanding

Answer:

\(the \: missing \: number \: s \: 9000\)

Ryan makes a profit of £240.  the total sales now amount to £600. By subtracting the cost of the jumpers, i.e. £190, from the total sales, we calculate that Ryan makes a profit of £240.

Ryan spends £190 to buy 80 jumpers. He sells 50% of the jumpers, i.e. 40 jumpers, at £12 each. This brings the total sales to £480. Then, he puts the remaining 40 jumpers on a Buy one get one half price offer. He sells 20 of the remaining jumpers using this offer. Therefore, the total sales now amount to £600. By subtracting the cost of the jumpers, i.e. £190, from the total sales, we calculate that Ryan makes a profit of £240.

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In conclusion, based on the given information, we cannot determine the optimal solution for the objective function

MaxZ = 5x1 + 6x2.

The given question is asking for the optimal solution for the objective function MaxZ = 5x1 + 6x2. We are given two options to choose from: Option C) x1 = 1, x2 = 1, Z = 11 and Option D) x1 = 5.81, x2 = 4.63, Z = 56.91.
To find the optimal solution, we need to maximize the objective function while satisfying the given constraints. However, since the question does not provide any constraints, we cannot determine the optimal solution based on the information given.
The optimal solution depends on the constraints and any additional information provided. Without this information, we cannot determine which option is correct.
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The Pythagorean Theorem states that for a right triangle, the sum of the squares of the lengths of the two sides is equal to the square of the length of the hypotenuse.

The length of the altitude drawn to the hypotenuse in the figure can be calculated using the Pythagorean Theorem. The Pythagorean Theorem states that for a right triangle, the sum of the squares of the lengths of the two sides is equal to the square of the length of the hypotenuse. Therefore, the length of the altitude drawn to the hypotenuse can be calculated by taking the square root of the sum of the squares of the lengths of the other two sides. For example, if the lengths of the other two sides are 5 and 12, then the length of the altitude drawn to the hypotenuse is equal to the square root of (5^2 + 12^2), which is equal to 13.

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The rational subgroup concept is a subset of data where variation is due to common causes only. This type of subgroup is used in control chart analysis to make sure that variation in the process is predictable and does not include any special causes of variation.

Control charts are graphical representations of process data over time. They help in detecting the changes or variations in the process and identify the root cause of the variation. Control charts are used to analyze process performance and identify areas where improvement is needed. The rational subgroup concept plays an essential role in the control chart analysis as it helps in selecting the appropriate data to plot on the control chart.To use control charts, a subgroup of data must be selected. The rational subgroup concept ensures that the data in the subgroup is due to common causes only and does not include any special causes of variation. By selecting a rational subgroup, the control chart shows the natural variation in the process and helps in identifying any trends or patterns that require attention.

Control charts are graphical representations of process data over time. They help in detecting the changes or variations in the process and identify the root cause of the variation. Control charts are used to analyze process performance and identify areas where improvement is needed.The rational subgroup concept plays an essential role in the control chart analysis as it helps in selecting the appropriate data to plot on the control chart. By selecting a rational subgroup, the control chart shows the natural variation in the process and helps in identifying any trends or patterns that require attention. The rational subgroup concept ensures that the data in the subgroup is due to common causes only and does not include any special causes of variation. This ensures that the control chart is an accurate representation of the process performance and helps in identifying areas where improvement is needed.Overall, the rational subgroup concept is a critical part of the control chart analysis. It ensures that the control chart accurately reflects the process performance and helps in identifying areas where improvement is needed. By selecting a rational subgroup, the control chart shows the natural variation in the process and helps in identifying any trends or patterns that require attention.

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Answer:

Step-by-step explanation:

Answer:

a = 3.5

Step-by-step explanation:

15.4 = -2.1 + a/0.2

Combine like terms:

15.4 = 2.1 + 5a

Swap sides:

-2.1 + 5a = 15.4

a) The forecasted number of disk drives to be made next year is 210.

b) The mean squared error (MSE) when using linear regression is 160.

c) The mean absolute percent error (MAPE) when using linear regression is approximately 7.51%.

Let's calculate the linear regression line using the given data points. We will use the least squares method to find the equation of the line:

Year (x)     Disk Drives (y)

1                   140

2                 160

3                 190

4                 200

5                210

Now calculate the means of x and y:

X = (1 + 2 + 3 + 4 + 5) / 5 = 3

Y= (140 + 160 + 190 + 200 + 210) / 5 = 180

The deviations from the means (dx and dy):

dx = (1 - 3, 2 - 3, 3 - 3, 4 - 3, 5 - 3) = (-2, -1, 0, 1, 2)

dy = (140 - 180, 160 - 180, 190 - 180, 200 - 180, 210 - 180)

= (-40, -20, 10, 20, 30)

The sums of squares (Sxx and Sxy):

Sxx = Σ(dx²) = (-2)² + (-1)² + 0² + 1² + 2² = 10

Sxy = Σ(dx × dy) = (-2× -40) + (-1 × -20) + (0 × 10) + (1 × 20) + (2× 30)

= 100

Now find the slope (b):

b = Sxy / Sxx = 100 / 10 = 10

Find the intercept (a):

a = Y - (b × X) = 180 - (10 × 3)

= 180 - 30

= 150

Now we have the equation of the regression line:

y = a + bx

y = 150 + 10x

To forecast the number of disk drives to be made next year (year 6), we substitute x = 6 into the equation:

y = 150 + 10×6

y = 150 + 60

y = 210

Therefore, the forecasted number of disk drives to be made next year is 210.

b) To compute the mean squared error (MSE) when using linear regression.

we need to calculate the residuals (differences between the actual and predicted values) for each data point, square them, and find the average.

Let Year (x), Disk Drives (y), Predicted (Y), Residual (d = y - Y), Residual Squared (d²)

X        y         Y          d            d²

1       140      160        -20      400

2      160      170        -10        100

3       190     180         10         100

4       200    190         10         100

5        210    200        10         100

MSE = Σ(d²) / n

= (400 + 100 + 100 + 100 + 100) / 5

= 800 / 5

= 160

(c)To compute the mean absolute percent error (MAPE), we need to calculate the absolute percent error for each data point, find the average, and express it as a percentage.

Year  Disk Drives  Predicted  Absolute Error  Percent Error

1              140               160             20                     14.29%

2             160               170             10                       6.25%

3             190               180             10                       5.26%

4             200              190             10                       5.00%

5             210              200             10                        4.76%

MAPE = Σ(|d| / y × 100) / n

= (14.29% + 6.25% + 5.26% + 5.00% + 4.76%) / 5

= 7.51%

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Answer:

not sure if that is right

The sales tax for the shirt is 0.05(0.4x).

Calculating the sales tax applied to a purchase is a matter of simply multiplying the tax rate by the purchase price using the equation sales tax = purchase price × sales tax rate. Adding the sales tax to the original purchase price gives the total price paid with tax.

Given that, a shirt priced at x dollars is discounted before tax is added.

In the final price, (x-0.6x) represents the discount of 60% on the shirt.

After that sales tax was applied which was 1.05 ≈ 105%. So, the sales tax is 5%

Then the sales tax is

5% × (x - 0.6x)

5% × (0.4x)

0.05(0.4x)

Therefore, the sales tax for the shirt is 0.05(0.4x).

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The maximum possible value for 'h' = 6 for the given set of system of inequalities.

For the given set of inequalities;

y ≤ 1/2x - 5

y ≥ 3x - 20

Equation both equation;

(1/2)x - 5 = 3x - 20

x - 10 = 6x - 40

Further simplifying;

-5x = -30

x = 6

Thus, the maximum possible value for 'h' is same as the value find for the x = 6; as h also represents the point on the x-axis.

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Answer:

5/6^7

Step-by-step explanation:

Answer:

Step-by-step explanation:

(5/6)^7

Here (5/6) appears 7 times as a multiplicand.

Answer:

(2 + 5)

Step-by-step explanation:

First, calculate the sum of 18+45. This is 63.

Then, calculate all sums.

3 + 9 = 12

5 + 2 = 7

1 + 3 = 4

9 + 9 = 18

63/ 12 = 5.25

63/7 = 9

63/4 = 15.75

63/18 = 3.5

63/7 results in a positive integer, 9. All other values result in positive integers with decimals. Therefore, the sum of 5 + 2 has a multiple of the sum of 18 +45.

Answer:

2+5 HOPE THIS HELPSSS

Step-by-step explanation:

Answer:

c)  1 foot per 2 hours

Step-by-step explanation:

1/6 of a foot (which is 12 inches) is 2 inches

1/3 of an hour (which is 60 minutes) is 20 minutes

2 inches in 20 minutes is the same as 12 inches (which is 1 foot) in 120 minutes (which is 2 hours)

Answer:

What is the equation of the graphed line written in standard form?" has four options: 2x + 3y = -6, 2x + 3y = 6, y=-2/3x-2, and y= 2/3x-2. The standard form of a linear equation is Ax + By = C, where A, B, and C are constants. In this case, the first two options, 2x + 3y = -6 and 2x + 3y = 6 are already in standard form. The last two options, y=-2/3x-2 and y= 2/3x-2 are not in standard form. However, without additional information such as a graph or coordinates of points on the line, it is not possible to determine which of these options is the correct equation for the graphed line.

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Answer: -3x + 1

Step-by-step explanation:

Looking at the y table, when we subtract 1 from them, they become multiples of -3

So we multiply x by -3 then add 1

Answer:

9 pencils

Step-by-step explanation:

Answer:

8050 m²

Step-by-step explanation:

We can divide the diagram up into two components: a rectangle with a width of 60 m and a height of 80 m, and a triangle with a base of 130 m (190 - 60) and a height of 50 m (80 - 30).

The area of the rectangle:

A = lw

A = 60 m (80 m)

A = 4800 m²

The area of the triangle:

A = 1/2 b*h

A = 1/2 (130 m) (50 m)

A = 1/2 (6500 m²)

A = 3250 m²

Now, we can add the areas of the two separate components:

A = 4800 m² + 3250 m²

A = 8050 m²

The probability of having zero errors is approximately 0.711.

The probability distribution that can be used to calculate the probability that zero errors will be found in a 255-word bond transaction is the Poisson distribution.

The Poisson distribution is a discrete probability distribution that is used to model the number of events occurring within a fixed interval of time or space, given the average rate of occurrence of the events.

In this case, the average rate of occurrence of errors is 6 per hour, which can be converted to 0.1 errors per minute. Therefore, the expected number of errors in a 255-word bond transaction is (255/75)*0.1 = 0.34 errors.

Using the Poisson distribution, the probability of having zero errors in a 255-word bond transaction can be calculated as:

\(P(X = 0) = (e^{(-\lambda)} * \lambda^0) / 0! = e^{(-0.34)} * 0.34^0 / 1! \approx 0.711\)

where λ is the expected number of errors in the 255-word bond transaction.

Therefore, the probability distribution used to calculate the probability of having zero errors in a 255-word bond transaction is the Poisson distribution, and the probability of having zero errors is approximately 0.711.

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Answer:

Step-by-step explanation:

Step 1: Find AB Use Pythagoras Theorem

AB = \(\sqrt{AC^{2} -BC^{2} } = \sqrt{12^{2} -8^{2} } = \sqrt{80}\)

Step 2: Find the Area of the triangle ABC

Area = \(\frac{1}{2}AB.BC = \frac{1}{2}\sqrt{80}.8 = 4\sqrt{80}\) = \(16\sqrt{5}\)

Step 3: Find BD. Use the area of the triangle above

Area = \(\frac{1}{2}BD.AC\)

We already known the Area and AC so, we just plug all the number in

BD = \(\frac{2. Area}{AC}\) =  \(\frac{2.16\sqrt{5}}{12}\) = \(\frac{8\sqrt{5}}{3}\)

Step 4: Find DC. Use Pythagoras Theorem of the triangle BDC

DC = \(\sqrt{BC^{2}-BD^{2} }\) = \(\sqrt{8^{2}-(\frac{8\sqrt{5}}{3})^{2}}\) =  \(\frac{16}{3}\)

Answer:

hi its me again :3

3oz=85.048g

Step-by-step explanation:

:)

Answer:

Y = 6*y

Step-by-step explanation:

We have Y = b * y by a factor of 6.

That is, b = 6.

now, to find what results only in a horizontal compression of y = b * y by a factor of 6.

By transformation rule, the function would be a horizontal compression f (a * x) if a> 1.

Therefore, knowing the above, the answer would be:

Y = 6 * y

9514 1404 393

Answer:

  -8x -11

Step-by-step explanation:

Use the distributive property to eliminate parentheses. Then combine the constant terms.

  -4(2x +4) +5

  = -8x -16 +5

  = -8x -11

\(\sf \longmapsto-4 ( 2x+ 4) + 5\)

\(\sf \longmapsto(−4)(2x)+(−4)(4)+5\)

\(\sf \longmapsto−8x+−16+5\)

\(\sf \longmapsto(−8x)+(−16+5)\)

\(\sf \longmapsto−8x+−11\)

\(\sf \longmapsto - 8x - 11\)

Answer:

(x-6)^2+y=3

Step-by-step explanation:

The vortex of the parabola is (6,3). So the vertex equation is (x-6)^2+y=3

a) True, b) False, c) False, d) True, e) False, f) False, g) True

a) The statement is true. The symbol "∅" represents the empty set, which does not contain any elements. Since 0 is not an element of the empty set, the statement "0 ∈ ∅" is false.

b) The statement is false. The symbol "{0}" represents a set containing the element 0. The empty set, represented by "∅", does not contain any elements. Therefore, the empty set is not an element of the set {0}.

c) The statement is false. The symbol "{0}" represents a set containing the element 0. However, the empty set, represented by "∅", does not contain any elements. Therefore, the set {0} is not a subset of the empty set.

d) The statement is true. The empty set, represented by "∅", does not contain any elements. Every set is a subset of the empty set, including the set {0}.

e) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not an element of itself. Therefore, the statement "{0}∈{0}" is false.

f) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not a proper subset of itself. Therefore, the statement "{0}⊂{0}" is false.

g) The statement is true. The symbol "{∅}" represents a set containing the empty set. In this case, {∅} is a subset of itself because it contains the element ∅. Therefore, the statement "{∅} ⊆ {∅}" is true.

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After 14 days, you will have approximately $2.4414 invested in the stock market.

The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:

an = a1 x \(r^{(n-1)\)

Where:

an is the nth term,

a1 is the first term,

r is the common ratio, and

n is the number of terms.

In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.

Substituting the given values into the formula, we have:

a14 = 20000 x\((1/2)^{(14-1)\)

a14 = 20000 x \((1/2)^{13\)

a14 = 20000 x (1/8192)

a14 ≈ 2.4414

Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.

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The amount you will have invested after 14 days is given as follows:

$2.44.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term of the sequence.

The parameters for this problem are given as follows:

\(a_1 = 20000, q = 0.5\)

Hence the amount after 14 days is given as follows:

\(a_{14} = 20000(0.5)^{13}\)

\(a_{14} = 2.44\)

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Value of x = 13°

Hope it helps you...

Answer:

4 (3)/(8) + 5(6)/(10)

Step-by-step explanation:

4 3/8= 35/8

5 6/10 = 28/5

= 9 39/40

Answer:

did yall ever find the answer

Step-by-step explanation:

The function f(x) is increasing for all x < 3. Then the correct option is A.

Given that:

Function, f(x) = (x + 6) / (x² - 9x + 18)

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

Simplify the function, then we have

f(x) = (x + 6) / (x² - 9x + 18)

f(x) = (x + 6) / (x² - 6x - 3x + 18)

f(x) = (x + 6) / [x(x - 6) - 3(x - 6)]

f(x) = (x + 6) / (x - 6)(x - 3)

The graph is given below.

The function f(x) is increasing for all x < 3. Then the correct option is A.

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The equation of the line is y + 40x = -78.

Here, we are given that a line passes through point (-2,-2) and is parallel to the line 5x - y = 45x.

when two lines are parallel their slopes are equal. So, let us first find the slope of  line 5x - y = 45x.

The standard form of the equation of a line is- y = mx + c, where m is the slope of the line.

Here 5x - y = 45x can be written as-

y = -40x

Thus, the slope of the line is -40.

Now we can use the point slope form to find the equation of our line.

According to the point slope form-

(y - y1) = m(x - x1)

here, x1 = -2 and y1 = -2

Thus equation becomes-

(y + 2) = -40 ( x + 2)

y + 2 = -40x - 80

y + 40x = -78

Thus, the equation of the line is y + 40x = -78

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