Compute the multifactor productivity measure for each of the weeks shown for production of chocolate bars. Assume 40-hour weeks and an hourly wage of $16. Overhead is 1. 5 times weekly labor cost. Material cost is $9 per pound.

Since both sides are equal, we have shown that ∑(i=1 to 6) (dx_i + e) = d(∑\((i=1 to 6) x_i\)) + 6e. This represents the summation of the terms \((5x_3 + i)\) for i = 1 to 6.

To show that ∑(i=1 to 6) \((dx_i + e)\)= d(∑(i=1  \(x_i\)) + 6e, we can expand both sides and compare.

Left-hand side:

∑\((i=1 to 6) (dx_i + e) = (dx_1 + e) + (dx_2 + e) + (dx_3 + e) + (dx_4 + e) +\)(dx_5 + \(e) + (dx_6 + e)\)

                        = \(dx_1 + dx_2 + dx_3 + dx_4 + dx_5 + dx_6 + e + e + e + e\)+ e + e

                        = \((dx_1 + dx_2 + dx_3 + dx_4 + dx_5 + dx_6) + 6e\)

Right-hand side:

d(∑\((i=1 to 6) x_i)\)+ 6e = d\((x_1 + x_2 + x_3 + x_4 + x_5 + x_6)\)+ 6e

Now, let's compare the two sides:

Left-hand side: \((dx_1 + dx_2 + dx_3 + dx_4 + dx_5 + dx_6)\) + 6e

Right-hand side: d\((x_1 + x_2 + x_3 + x_4 + x_5 + x_6)\) + 6e

Since both sides are equal, we have shown that ∑\((i=1 to 6) (dx_i + e)\) = d(∑(i=1 to 6)\(x_i)\) + 6e.

To represent the equation\((5x_3 + 4) + (5x_3 + 5) + (5x_3 + 6) + (5x_3 +\)7) + \((5x_3 + 8) + (5x_3 + 9)\) using a Sigma operator notation, we can write it as:

∑\((i=1 to 6) (5x_3 + i)\)

This represents the summation of the terms \((5x_3 + i)\)for i = 1 to 6.

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Answer:2,4,5,are other factors

Step-by-step explanation:

We can see that A² is indeed the matrix we obtained in question 1, which confirms the agreement.

We have:

|a₁₁ - 2i a₁₂| = 0

|a₂₁ a₂₂ - 2i|

Expanding the determinant, we get:

(a₁₁ - 2i)(a₂₂ - 2i) - a₁₂a₂₁ = 0

Simplifying further, we have:

a₁₁a₂₂ - 2ia₁₁ - 2ia₂₂ + 4i² - a₁₂a₂₁ = 0

Since a₁₁, a₁₂, a₂₁, and a₂₂ are real numbers, we can equate the real and imaginary parts separately:

Real part:

a₁₁a₂₂ - 2ia₁₁ - 2ia₂₂ - a₁₂a₂₁ = 0

Imaginary part:

-2a₁₁ + 4 - 2a₂₂ = 0

From the imaginary part, we can solve for a₁₁ in terms of a₂₂:

a₁₁ = 2 - a₂₂

Substituting this back into the real part equation, we have:

(2 - a₂₂)a₂₂ - 2i(2 - a₂₂) - 2ia₂₂ - a₁₂a₂₁ = 0

Simplifying this expression, we get:

2a₂₂ - a₂₂² - 2i(2 - a₂₂) - 2ia₂₂ - a₁₂a₂₁ = 0

Rearranging the terms and combining the real and imaginary parts, we have:

a₂₂² - 4a₂₂ + 4 + (a₁₂a₂₁)i = 0

This equation suggests that a₂₂ should be equal to 2, and a₁₂a₂₁ should be equal to 0. This implies that either a₁₂ or a₂₁ (or both) should be equal to 0.

Let's consider an example to illustrate this. Suppose we take:

A = |1 0|

     |0 2|

To compute A²:

A² = |1 0| * |1 0| = |11 + 00 10 + 02|

|0 2| |01 + 20 00 + 22|

= |1  0| = |1  0|

  |0  4|   |0  4|

We can see that A² is indeed the matrix we obtained in question 1, which confirms the agreement.

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The element of emotion is the most important for the romantic artist. Romantic artists are driven by powerful and passionate emotions, which they strive to capture and express in their work.

The ability to capture emotion is the cornerstone of romantic art and allows the artist to create works that evoke strong feelings in their viewers. This is often achieved through the use of vivid colors, dynamic compositions, and dynamic brushstrokes. By focusing on feeling and emotion, romantic artists create works that carry a powerful and lasting impact. This emotional impact is the ultimate goal of the romantic artist, as it allows them to truly connect with their audience in a meaningful way.

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Hey there!

xy/z

x = -2

y = -3

z = 4

Substitute the values of x, y & z in the equation.

xy/z

= (-2)×(-3)/4

= 6/4

= 3/2

Hope it helps ya!

Answer :

92

92 bc you’d get 92.16 but round down

Check the picture below.

\(\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{19.5^2-18^2}=r\implies \sqrt{56.25}=r \\\\[-0.35em] ~\dotfill\)

\(\textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\ \stackrel{slant~height}{\sqrt{r^2+h^2}}\\[-0.5em] \hrulefill\\ r=\sqrt{56.25} \end{cases}\implies \begin{array}{llll} LA=\pi \sqrt{56.25}\stackrel{slant~height}{(19.5)} \\\\\\ LA\approx 459.46~cm^2 \end{array}\)

\(9=7d+8(9-2d)\\9=7d+72-16d\\9=-9d+72\\-72+9=-9d\\-63=-9d\\d=7\)

Also for the 8(9-2d), simplify by multiplying the 8 into the (9-2d) as we get (8*9)-(8*2d) = 72-16d

Therefore, the answer is d = 7 aka C.

Answer:

B. 38°​

Explanation:

From the given figure, angles x and 142 degrees are on a straight line.

The sum of angles on a straight line is 180 degrees, therefore:

Next, we solve the equation for x:

The correct choice is B.

Answer: i don't care

Step-by-step explanation: I am doing it for the points

sry for not knowing the answer

Answer:

To multiply the mixed numbers 1 3/4 and 2 1/2, you can convert them to improper fractions, then multiply the numerators and denominators. Here's the step-by-step process:

1 3/4 = (4 * 1 + 3) / 4 = 7/4

2 1/2 = (2 * 2 + 1) / 2 = 5/2

Now, multiply the numerators and denominators:

(7/4) * (5/2) = (7 * 5) / (4 * 2) = 35/8

Therefore, 1 3/4 multiplied by 2 1/2 is equal to the simplified fraction 35/8.

Answer:

2x - 3 = 6

Step-by-step explanation:

solve for 'x':

2x - 3 = 6

2x = 9

x = 9/2 or 4 1/2

Check:

2(9/2) - 3 = 6

9 - 3 = 6

6 = 6

Answer:

\(x=6.40\) (to 3sf)

Step-by-step explanation:

Height of triangle = 14 - 10

                             = 4

Following the Pythagoras' Theorem,

\(x^{2} =5^{2} +4^{2} \\x^{2} =41\)

∴ \(x=6.40\) (to 3sf)

Answer:

-120

Step-by-step explanation:

-30

but you have -30 -30 -30

what if we add it to make -90

then we have -30

same thing if you forgot to put + like

-30 + -30 + -30 + 30

still would be -120

D

Step-by-step explanation:

the numbers are expressed in the form of a+ ib where ab are real numbers and I is an imaginary number called iota

The value of angle θ is 315°

Positive and negative angles are determined by the direction in which a ray rotates to form an angle.

If it rotates in a clockwise direction then the angle is negative and if it rotates in an anticlockwise direction then the angle is positive.

As it is shown the direction of the angle is in anticlockwise direction. Therefore the angle will be positive.

The angle in a quadrant is 90° , this means 2 quadrants will be 2 × 90 = 180°

The angle passes through 3 ½ quadrant

= 7/2 × 90

= 7 × 45

= 315°

Therefore the value of θ is 315°

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Answer:

Add the lengths:

5x - 16 + 2x - 4 = 7x - 20

Answer:

10.54263764

Step-by-step explanation:

\(3300=2000e^{.0475t}\\\\1.65=e^{.0475t}\\\ln(1.65)=.0475t\\.500775288=.0475t\\t=10.54263764\)

Answer:

It will take about 10.5 years for the investment to reach $3,300.

Step-by-step explanation:

Continuous compound is given by:

\(\displaystyle A=Pe^{rt}\)

Where P is the principal, e is Euler's number, r is the rate, and t is the time (in this case in years).

Since our principal is $2,000 at a rate of 4.75% or 0.0475, our equation is:

\(\displaystyle A=2000e^{0.0475t}\)

We want to find the number of years it will take for our investment to reach $3,300. So, substitute 3300 for A and solve for t:

\(3300=2000e^{0.0475t}\)

Divide both sides by 2000:

\(\displaystyle e^{0.0475t}=\frac{33}{20}\)

We can take the natural log of both sides:

\(\displaystyle 0.0475t=\ln\left(\frac{33}{20}\right)\)

Therefore:

\(\displaystyle t=\frac{1}{0.0475}\ln\left(\frac{33}{20}\right)\approx 10.54\text{ years}\)

It will take about 10.5 years for the investment to reach $3,300.

Answer:

angle a=64, longest side AV : shortest side: TV

angle c=55 longest side: BW shortest side: CB

angle z =24 longest side: XZ shortest side: XP

Step-by-step explanation:

x + y = 150

x - y = 100

______

x = hoodie

y = shoes

x = 150 - y

150 - y = 100 + y

50 = 2y

y = 25

x = y + 100

x = 25 + 100

x = 125

please give brainliest

Answer:

125

Step-by-step explanation:

it's unequal sharing

150-100=50

50/2=25

hoodie=100+25=$125

hope it helps

we have to add 7775000 to make 7800000 from 25000 which is calculated by using Substraction method.

Subtraction in mathematics is the process of subtracting one integer from another. In other terms, the result of subtracting two from five is three. After addition, subtraction is usually the second process you learn in math class.Subtraction is the action or procedure of determining the difference between two quantities or figures. The phrase "taking away one number from another" is also used to describe the process of subtracting one number from another.

Distance to be covered altogether= 7800000 m
THE distance has covered= 25000 m.

We can calculate the thousands needs to be added in 25000 to make it 7800000 by using Substraction method:-

7800000-25000= 7775000m

hence, to make 7800000 from 25000 we have to add 7775000.

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Using long division:

As you can see, the quotient is 2.8, therefore:

For a right angled triangle with known measure of sides 11.2 units and 8.5 units, the unknown value of third side, i.e, x is equals to the 7.3 units.

A right triangle or right-angled triangle is defined as a triangle in which one angle is a right angle. Therefore, one of the angles must be 90 degrees and sum all interior angles is equals to 180°. See the triangle present in above figure. It is a right angled triangle because measure of one angle is 90°.

Height of triangle = x units

Base of triangle, b = x

Length of hypotenuse of triangle = 11.2

We have to determine the value of x. Using payathagaros theorem of sides in a right angled triangle, (hypothenuse)² = (base)² + (height)²

Substitute all known values in above formula,

=> (11.2)² = x² + (8.5)²

=> 125.44 = x² + 72.25

=> x² = 125.44 - 72.25

=> x² = 53.19

=> x = 7.2931 ~ 7.3

Hence, required value is 7.3 units.

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Complete question:

The above figure complete the question. Solve for x. Round your answer to the nearest tenth.

X

8. 5

11. 2

Answer:

CBA = 53°

DBC = 39°

Step-by-step explanation:

You have 2 angles, CBA and DBC.

Together, these form the angle DBA. (See attached image)

We know the following about the 2 angles:

CBA = 8x - 3

DBC = 5x + 4

Like we said, both of these together form the angle DBA. Thus:

DBA = CBA + DBC

Let's put in the values we know, 8x-3, 5x+4, instead of CBA and DBC:

DBA = 8x - 3 + 5x + 4

DBA = 13x - 3 + 4

DBA = 13x + 1

We also know that:

DBA = 92 (from the question)

Let's set our expression 13x + 1 equal to 92.

DBA = 13x + 1

DBA = 92

13x + 1 = 92

Subtract 1 from both sides:

13x = 91

Divide both sides by 13:

x = 91 / 13

x = 7

Now that we know x, we can find what CBA and DBC are.

CBA = 8x - 3

Replace x with 7:

CBA = 8*7 - 3

CBA = 56 - 3

CBA = 53

DBC = 5x + 4

Replace x with 7:

DBC = 5*7 + 4

DBC = 35 + 4

DBC = 39

Answer:

CBA = 53°

DBC = 39°

The amount of the remittance from ABC is $1,960.

The given information states that merchandise is sold for $2,000 with terms of 2/10, n/30 to ABC. The terms 2/10, n/30 imply a 2% discount if payment is made within 10 days, with the full amount due within 30 days.

Since ABC sends a remittance on Dec. 26, it means the payment is made after the discount period but within the credit period. Therefore, ABC is not eligible for the discount of 2%.

To calculate the amount of the remittance, we simply subtract the discount from the total amount. In this case, the discount is $2,000 * 2% = $40. Thus, the remittance amount is $2,000 - $40 = $1,960.

In conclusion, the amount of the remittance from ABC is $1,960, as they did not qualify for the early payment discount.

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Answer:

4 months and 13 stamps

Step-by-step explanation:

Use a char, add two stamps each month for Joy and subtract 3 for Ronald.

Answer:

the scale factor would be .75 or 3/4

Step-by-step explanation:

Answer:

the answer is .75

Step-by-step explanation:

Answer:

Pretty sure it's C, A, B

Step-by-step explanation: