How do I solve for x?

Answer:

6 weeks

Step-by-step explanation:

end goal = $76

how much he has in the bank = $30

how much he earnes per week = $8

first, subtract 30 from 78 to figure out how much he has left to ear:

$78 - $30 = $48

then take the difference and divide it by 8 since he earned $8 per week:

48 ÷ 8 = 6

It will take him 6 remaining weeks to complete his end goal.

To determine the number of units that should be ordered, we need to consider the lead time, demand, and the desired probability of not stocking out.

1. First, let's calculate the demand during the lead time. Since the lead time is 7 days and the average daily demand is 20 units, the demand during the lead time is 7 days * 20 units/day = 140 units.

2. Next, we calculate the safety stock needed to achieve the 95% probability of not stocking out. The safety stock is the product of the standard deviation and the Z-score corresponding to the desired service level. For a 95% probability, the Z-score is 1.65. So, the safety stock is 1.65 * 5 units = 8.25 units (rounding up to 9 units).

3. Now, we calculate the reorder point, which is the sum of the demand during the lead time and the safety stock. Reorder point = 140 units + 9 units = 149 units.

4. Finally, we subtract the current on-hand units and the units sold today from the reorder point to determine the number of units to be ordered. Units to be ordered = 149 units - 180 units + 20 units = -11 units.

Since we cannot order a negative number of units, we conclude that no units should be ordered in this scenario.

Based on the given information and calculations, no units should be ordered in this case as there is no need to replenish the stock.

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Answer: D

Step-by-step explanation:

it shows each points and that they are equal

Answer:

can you take a screen shot its hard to see

Step-by-step explanation:

The given function f(x) = 2x - 4 undergoes four transformations: vertical stretch, vertical translation, horizontal reflection, and horizontal translation. The expressions representing each transformation are as follows:

The given function f(x) = 2x - 4 can be transformed in various ways. Let's analyze each transformation individually.

1. Vertical Stretch:

A vertical stretch multiplies the function's output (y-value) by a constant. In this case, the expression for the vertical stretch is:

f₁(x) = a * f(x)

where 'a' is the scaling factor. This transformation affects the function's steepness. If 'a' is greater than 1, the graph becomes steeper; if 'a' is between 0 and 1, the graph becomes flatter.

2. Vertical Translation:

A vertical translation shifts the function up or down by adding or subtracting a constant to the function's output (y-value). The expression for the vertical translation is:

f₂(x) = f(x) + b

where 'b' represents the amount of vertical shift. If 'b' is positive, the graph shifts upward; if 'b' is negative, the graph shifts downward.

3. Horizontal Reflection:

A horizontal reflection flips the function across the y-axis. The expression for the horizontal reflection is:

f₃(x) = -f(x)

This transformation changes the sign of the function's output for every input value, resulting in a mirror image of the original graph.

4. Horizontal Translation:

A horizontal translation shifts the function left or right by adding or subtracting a constant to the function's input (x-value). The expression for the horizontal translation is:

f₄(x) = f(x - c)

where 'c' represents the amount of horizontal shift. If 'c' is positive, the graph shifts to the right; if 'c' is negative, the graph shifts to the left.

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There is a 45.22% chance that a randomly selected sample proportion of 100 purchases will be 0.48 or less.

To find the probability of a sample proportion of 0.48 or less if the true population proportion is 0.60, we can use the sampling distribution of the sample proportion and the z-score.

Given:

Sample size (n) = 100

Observed sample proportion ) = 0.48

True population proportion (p) = 0.60

To find the probability, we need to standardize the observed sample proportion using the z-score formula:

z = ( - p) / √(p * (1 - p) / n)

Substituting the values:

z = (0.48 - 0.60) / √(0.60 * (1 - 0.60) / 100)

= -0.12 / √(0.24 / 100)

= -0.12 / √0.0024

= -0.12 / 0.049

Using a standard normal distribution table or a statistical calculator, we can find the probability associated with the z-score.

The probability of a sample proportion of 0.48 or less, given a true population proportion of 0.60, is the probability to the left of the z-score obtained.

P ≤ 0.48) = P(z ≤ -0.12)

Using a standard normal distribution table, we find that the probability of z ≤ -0.12 is approximately 0.4522.

Therefore, the probability of a sample proportion of 0.48 or less, given a true population proportion of 0.60, is approximately 0.4522 or 45.22%.

This means that there is a 45.22% chance that a randomly selected sample proportion of 100 purchases will be 0.48 or less, if the true population proportion is 0.60.

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Answer:

B. - 3 / 2

Step-by-step explanation:

Let,

( x1, y1 ) = ( - 2, 5 )

So,

x1 = - 2

y1 = 5

( x2, y2 ) = ( 4, - 4 )

So,

x2 = 4

y2 = - 4

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( - 4 - 5 ) / ( 4 - ( - 2 ) )

= - 9 / ( 4 + 2 )

= - 9 / 6

Slope = - 3 / 2

Answer:

B

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 5 ) and (x₂, y₂ ) = (4, - 4 )

m = \(\frac{-4-5}{4-(-2)}\) = \(\frac{-9}{4+2}\) = \(\frac{-9}{6}\) = - \(\frac{3}{2}\) → B

In a right triangle with cos0 = 4/5, the exact value of cot(0) is 4/3.

In a right triangle, if cos0 = 4/5, then the exact value of cot(0) can be found using the Pythagorean Theorem and the definition of cotangent.

First, let's use the Pythagorean Theorem to find the third side of the right triangle.

If cos0 = 4/5, then the adjacent side is 4 and the hypotenuse is 5. The Pythagorean Theorem states that a^2 + b^2 = c^2, where a and b are the legs of the right triangle and c is the hypotenuse. Plugging in the known values, we get:

4² + b² = 5²
16 + b² = 25
b² = 9
b = 3

Now that we know the third side of the right triangle, we can use the definition of cotangent to find the exact value of cot(0).

Cotangent is defined as the ratio of the adjacent side to the opposite side. In this case, the adjacent side is 4 and the opposite side is 3, so:
cot(0) = 4/3

Therefore, the exact value of cot(0) is 4/3.

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Answer:316

Step-by-step explanation:

I just solved it by adding it

The values provided in the deflection profile are rounded to 4 significant figures)

(a) The discrete model equation using the 2nd Order Centered Method:

The second-order centered difference approximation for the second derivative of y at point x is:

\(y''(x) ≈ (y(x+h) - 2y(x) + y(x-h))/h^2\)

Applying this approximation to the given differential equation, we have:

\((y(x+h) - 2y(x) + y(x-h))/h^2 = -wLx/EI\)

(b) The system of equations after substituting all numerical values:

Using Ar = 24 inches, we can divide the beam into 5 discrete points (n = 4), with h = L/(n+1) = 120/(4+1) = 24 inches.

At x = 0, we have: (\(y(24) - 2y(0) + y(-24))/24^2 = -wLx/EI\)

At x = 24, we have: (\(y(48) - 2y(24) + y(0))/24^2 = -wLx/EI\)

At x = 48, we have: (\(y(72) - 2y(48) + y(24))/24^2 = -wLx/EI\)

At x = 72, we have: \((y(96) - 2y(72) + y(48))/24^2 = -wLx/EI\)

At x = 120, we have: (\(y(120) - 2y(96) + y(72))/24^2 = -wLx/EI\)

(c) Solving the system with Python and providing the profile for the deflection:

To solve the system of equations numerically using Python, the equations can be rearranged to isolate the unknown values of y. By substituting the given numerical values for E, I, w, L, h, and the boundary conditions y(0) = y(120) = 0, the system can be solved using a numerical method such as matrix inversion or Gaussian elimination. The resulting deflection values at each discrete point, including the boundary values, can then be obtained.

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Answer:

1. c = 9/2

2. r = 21/4

3. x = -2/3

4. m = 5/2

Step-by-step explanation:

1.

1 - 2c = -8

Subtract 1 from both sides to isolate the variable:

-2c = -8 - 1 = -9

Divide by -2 to further isolate the variable:

c = (-9) / (-2) = 9/2

So, the answer is c = 9/2.

2.

-8/7r = 6

To isolate the variable, divide both sides by -8/7:

r = (-6) / (-8/7)

Remember that when dividing fractions, it's the same as multiplying by the reciprocal of the divisor, so:

r = (-6) / (-8/7)

r = (-6) * (-7/8) = 42/8 = 21/4

So, the answer is r = 21/4.

3.

4 - 4 * (4 - x) - 4x = 18x

We need to use order of operations and expand the 4 * (4 - x) part first:

4 * (4 - x) = 16 - 4x

Put this back in:

4 - (16 - 4x) - 4x = 18x

4 - 16 + 4x - 4x = 18x

Combine like terms:

-12 = 18x

Divide by 18 on both sides:

x = -12/18 = -2/3

So, the answer is x = -2/3.

4.

1/5m + 3 = 7/5m

Subtract 1/5m from both sides:

3 = 7/5m - 1/5m = 6/5m

Divide both sides by 6/5:

m = 3 ÷ (6/5) = 3 * (5/6) = 15/6 = 5/2

So, the answer is m = 5/2.

Answer:

1. c = 9/2

2. r = -21/4

3. x = -2/3

4. m = 5/2

Step-by-step explanation:

1-2c = -8

1 + 8 = 2c

9 = 2c

c = 9/2

-8/7r = 6

r = 6 × 7/-8

r = 3 × 7/-4

r = -21/4

4-4 (4-x) -4x = 18x

4 - 16 + 4x - 4x = 18x

-12 = 18x

x = -12/18

x = -2/3

1/5m + 3 = 7/5m

3 = (7/5 - 1/5)m

3 = 6/5m

m = 3 × 5/6

m = 5/2

Answer:

$1.06 per ounce

Step-by-step explanation:

Answer:

1.06 per ounce

Step-by-step explanation:

The value of x is approximately 0.5263. This means that when z is 4.0 and y is 7.6, x can be calculated as 0.5263 to satisfy the equation.

To find the value of x, we can substitute the given values of z and y into the formula and solve for x.

The formula given is:

z = yx

Given that z = 4.0 and y = 7.6, we can rewrite the formula as:

4.0 = 7.6x

To solve for x, we'll divide both sides of the equation by 7.6:

4.0 / 7.6 = x

Simplifying the division gives us:

0.5263 = x

Therefore, the value of x is approximately 0.5263.

Let's double-check our result by substituting this value back into the formula:

z = yx

4.0 = 7.6 * 0.5263

Calculating the right side of the equation:

4.0 ≈ 4.0

The equation holds true, confirming that x ≈ 0.5263 is the correct value.

In summary, based on the given formula z = yx, with z = 4.0 and y = 7.6, the value of x is approximately 0.5263. This means that when z is 4.0 and y is 7.6, x can be calculated as 0.5263 to satisfy the equation.

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Answer: yes

Step-by-step explanation:

Answer:

(a^2+2)(a+2)

Step-by-step explanation:

Factor a^3+2a+2a^2+4.

Using Factoring by grouping

a^3+2a   +    2a^2+4

Factor out a from the first two terms and 2 from the last two terms.

a( a^2 +2) + 2 ( a^2+2)

Factoring out a^2+2.

(a^2+2)(a+2)

Answer:

thank you :) for the points

Answer:

Thanks

Step-by-step explanation:

Answer:

13 is the answer to 8 less than a number

400 gallons of water are used everyday.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Percentage of water used for cleaning= 16.8%

Gallons of water used for cleaning= 67.2

Let the number of gallons used everyday be represented by g. Then,

16.8 % of g = 67.2

16.8/100 × g = 67.2

0.168 × g = 67.2

g= 400 gallons

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a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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Answer:

y=(-)3

Step-by-step explanation:

(-)8+2=(-)6

​(-)6/2=(-)3

Check:

((-)3x2)-2=(-)8

Answer: The value of x is 3.5

Explanation:

Equation:

y = 2x - 7

When the equation's Line intersects the x-axis, the value of y shall be always 0

Insert y = 0, to find x intercept

⇒ 0 = 2x - 7

⇒ 2x - 7 = 0

⇒ 2x = 7

⇒ x = 3.5

So coordinates: (x, y) → (3.5, 0)

Answer:

A negative exponent involves taking the inverse of the number, then multiplying it by itself once it's in the denominator of the fraction.

The value that is part of the solution to the trigonometric inequality on the first lap of the trigonometric circle are given as follows:

x = 2pi/3.

The trigonometric inequality in this problem is defined as follows:

sec(2x) < -1.

The secant of an angle is defined as follows:

sec(x) = 1/cos(x).

Hence:

sec(2x) = 1/cos(2x).

Thus:

sec(2x) < -1.

1/cos(2x) < -1

1 < -cos(2x)

cos(2x) < -1

2x < arccos(-1)

x < arccos(-1)/2

x < 90º.

Meaning that the answer is composed by the angles x for which 2x is either on the second quadrant or in the third quadrant, in which the cosine is negative.

The values are given as follows:

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x = 3,-1, multiplicity of 2.

Therefore, it is 4-degree polynomials. (considering that x = 3,-1,2,2)

We just convert these x-values into x-intercept form and convert again in standard form by multiplying.

(x-3)(x+1)(x-2)²

(x²-2x-3)(x²-4x+4)

(x⁴-4x³+4x²-2x³+8x²-8x-3x²+12x-12)

Thus the answer is x⁴-6x³+9x²+4x-12

Based on the information provided, the two numbers whose HCF is 101 are 1010 and 1313.

The HCF is the highest common factor or in other words, the highest number by which two numbers can be divided. Let's start by listing the four digits numbers that can be the HCF related to 101.

101 x 10 = 1010

101 x 11 = 1111

101 x 12 = 1212

101 x 13 = 1313

Now, from these numbers, there are two numbers whose difference is 303.

1313 - 1010 = 303

Based on this, the two numbers are 1010 and 1313

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Answer:

a = 1

Step-by-step explanation:

3a - 1 = 2a

3a - 2a - 1 + 1 = 2a - 2a + 1

a = 1

Answer:

Your answer is A = 1

Step-by-step explanation:

You would subtract 3a from 2a

so it would be -1 = 1a

Then divide by 1 and your answer is A= 1

The "magic sum" has to be 15 because the requirement that the sum of each row, column, and diagonal be equal constrains the possible values of each cell, and the values of all the cells must add up to the total sum of the square.

In a magic square, the sum of numbers in each row, column, and diagonal should be the same. In the case of a 3 × 3 magic square, the sum of each row, column, and diagonal should be equal to the magic sum.

Since the square contains the numbers 1 through 9, the sum of all the numbers in the square is:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45

Since there are three rows, three columns, and two diagonals, each with three numbers, the total sum of all the rows, columns, and diagonals is:

3 x magic sum = 45

Therefore, the magic sum has to be 15, since 3 x 15 = 45.

This holds true for any 3 × 3 magic square, not just the Lo Shu Magic Square.  Therefore, the magic sum must be the total sum divided by the number of rows, columns, and diagonals.

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To find the sales of CDs one standard deviation from the mean, we first need to find the mean and standard deviation of the data:

Step 1: Find the mean

mean = (14 + 17 + 20 + 24 + 25) / 5 = 20

Step 2: Find the variance

variance = [(14 - 20)² + (17 - 20)² + (20 - 20)² + (24 - 20)² + (25 - 20)²] / 5

        = (36 + 9 + 0 + 16 + 25) / 5

        = 17.2

Step 3: Find the standard deviation

standard deviation = sqrt(variance) = sqrt(17.2) ≈ 4.15

Now, to find the sales of CDs one standard deviation from the mean, we can add and subtract the standard deviation from the mean:

One standard deviation below the mean: 20 - 4.15 ≈ 15.85

One standard deviation above the mean: 20 + 4.15 ≈ 24.15

Therefore, the sales of CDs one standard deviation below the mean is approximately 15.85 and the sales of CDs one standard deviation above the mean is approximately 24.15.

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Answer:

C.

Step-by-step explanation:

Divide for the answer.
$63.00 \ $4.20 = 15

Hope it helped!