Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by
L(x,y) = 3/2 x^2 + y^2 - 5x - 2y - 2xy + 93
where x is the number of hours required by a skilled craftsperson and y is the number of hours required by a
semiskilled person. Find values of x and y that minimize the labor cost. Find the minimum labor cost.

The total number of t-shirts sold by Tom equals to 17 t-shirt.

Basically, a profit refers to the difference between the revenue that an entity has received from its outputs and the opportunity costs of its inputs.

We need to note that he made a total profit of $125. From here, we will proceed to use that data to solve other sections.

From the total profit of $125, he also made a profit of $40 from selling hats. That means that the T-shirt sales alone gives him a profit of $85 ($125 - $40).

Total quantity of t-shirt sold is computed as follows:

= Total profit from t-shirt / Profit per shirt

= $85 / $5

= 17 t-shirt

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Answer: x + 1/4 = 1

Step-by-step explanation: the sum of something is to add and if you are adding 1/4 to x they need to be on the same side and “is” is a good indicator of where or when the equal sign needs to go.

Answer:

x + 1/4 = 1

x = 3/4

Step-by-step explanation:

If the directions are to write an equation, then you get:

x + 1/4 = 1

"Sum" means adding.

If you are also asked to solve, then subtract 1/4 from both sides of the equation.

x + 1/4 = 1

x = 1 - 1/4

x = 3/4

The weights of broilers are approximately normally distributed with a mean of 1387 grams and a standard deviation of 161 grams.

To determine if it's unusual for a broiler to weigh more than 1550 grams, follow these steps:

1. Calculate the z-score: z = (X - μ) / σ
  where X is the given weight (1550 grams), μ is the mean (1387 grams), and σ is the standard deviation (161 grams).

2. Plug in the values: z = (1550 - 1387) / 161 = 163 / 161 ≈ 1.01

The z-score of 1.01 means that the weight of 1550 grams is approximately 1.01 standard deviations above the mean.

In a normal distribution, about 68% of the data falls within one standard deviation of the mean, and about 95% falls within two standard deviations.
Since the z-score is only slightly above 1, it's not highly unusual for a broiler to weigh more than 1550 grams, as it still falls within the range of one standard deviation from the mean.

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The extra cost of buying on hire purchase is 62.5% of the cash price.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, the cash price is $4000, and the hire price is $6500.

(a) The total amount to be paid in monthly installments is $6500 - $500 = $6000.

Since each monthly payment is $250,

the number of monthly payments required to pay off the remaining balance is:

$6000 ÷ $250 = 24

Therefore, 24 monthly payments must be made.

(b) The extra cost of buying on hire purchase is the difference between the hire-purchase price and the cash price.

The extra cost is:

$6500 - $4000 = $2500

To express this as a percentage of the cash price, we calculate:

($2500 ÷ $4000) × 100% = 62.5%

Therefore, The extra cost of buying on hire purchase is 62.5% of the cash price.

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Complete question:

Answer: k = 3

-2k - 4k = -18

-2k - 4k = -18

-6k = -18

k = -18/-6

k = 3

Would appreciate brainly <3

Answer:

Step-by-step explanation:

=> -2k - 4k = -18

=> -6k = -18

\( = > k = \frac{ - 18}{ - 6} \)

=> k = 3 (Ans)

The change in the area of the surface of the cube when its side length triples from s units to 3s units is 52s³.

To quantify the change in the area of the surface of a cube when its side length triples from s units to 3s units, we can set up an integral.

Let's denote the side length of the cube as "x". The initial side length is "s" and the final side length is "3s". We want to find the change in surface area, which is the difference between the final surface area and the initial surface area.

The surface area of a cube with side length "x" is given by 6x², as each face of the cube has an area of x² and there are 6 faces.

The change in surface area can be calculated as:

ΔA = ∫(6x²) dx,

where the integral is taken from the initial side length "s" to the final side length "3s".

Now let's evaluate the integral:

∫(6x²) dx = 2x³ + C,

where C is the constant of integration.

To find the change in surface area, we substitute the limits of integration:

ΔA = [2x³]s to 3s

= 2(3s)³ - 2s³

= 2(27)s³ - 2s³

= 52s³

Therefore, the change in the area of the surface of the cube when its side length triples from s units to 3s units is 52s³.

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Answer:

last option

Step-by-step explanation:

y + 3 = 2 ( x - 1 )

⇒ y + 3 = 2x - 2

⇒ y = 2x - 5

Il faut calculer la différence entre les deux nombres, la diviser par l'ancienne valeur, puis multiplier par 100 pour obtenir le pourcentage.

La différence entre les deux nombres est :

28 - 20 = 8

L'ancienne valeur est 20, donc nous avons :

(8 / 20) x 100 = 0.4 x 100 = 40

Le pourcentage d'augmentation est donc de 40%. Le lanceur de baseball a augmenté son nombre de victoires de 40% par rapport à l'année précédente.

Answer:

12

Step-by-step explanation:

32-20=12

(Correct me if i am wromg)

Answer:

a) 6/25, .24, 24%

b)1/25, .04, 4%

c) 0/25, .00, 0% (there is no pink)

d) 9/25, .36, 36%

Step-by-step explanation:

To find the fraction just put the number of gumballs in that color in front of the total (25)

To find the decimal divide the number of gumabalss that color by the total

The percentage is equal to the decimal in hundreths

Answer:

1/2 x^4 +x^3 +8

Step-by-step explanation:

Standard form means highest power of x to lowest power of x

1/2 x^4 +x^3 +8

Answer:2.99x + 12.99x = 43.92

Step-by-step explanation:

Answer:

imagine being banned

Step-by-step explanation:

Expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].

As given in the question,

Condition for the expression:

Sally and Anne both went for a movie.

Each one purchased a drink.

Shared one popcorn and one veggie bought by them.

Consider movie ticket price = 9

drink price = 1.35

Popcorn price = 3.50

Veggie price = 1.74

Explanation for different expressions are:

1. one-half (9 + 1. 35 + 3. 50 + 1. 74)

Here sum of all the amount is divided equally, which is not correct as movie ticket and drink they have purchased individually.

2.  9 + 1. 35 + one-half (3. 50 + 1. 74)

This is correct option as it represents :

Movie ticket price = 9

Drink = 1.35

one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.

3. 18 + 2. 70 + one-half (3. 50 + 1. 74)

As per consideration of price this is not correct option.

Movie ticket price =18

Drink = 2.70

one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.

4. 9+1. 35+2(3. 50+1. 7)

This is not correct option as popcorn and veggie price is doubled.

Therefore, expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].

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Answer:Kelas: 7

Mapel: matematika

Kategori

: Kata kunci aritmatika sosial: laba, rugi,

Kode impas: 7.2.6 [revisi matematika kelas 7 K13 Bab 6-aritmatika sosial]

Diskusi:

dalam kegiatan atau kondisi yang kita ketahui 3 istilah, yaitu:

1. untung

2. kehilangan

3. impas.

Jika aktivitas atau kondisi keuntungan, penarikan harga lebih kecil dari entri

Harga.

Jika kondisi peristiwa atau kerugian, harga penarikan lebih besar dari entri

Harga.

Jika aktivitas atau kondisi impas, harga pengeluaran sama dengan entri

Harga.

Mari kita lihat

Pertanyaan.

Catat tabel di lampiran 2.

1. jika harga masuk RP 700.000, 00 dan harga produksinya Rp 900,000, 00, maka harga pendapatan lebih kecil dari harga pengeluaran.

Jadi, kondisi ini

Kehilangan.

Kemudian

RP 900,000-RP 700.000

, 00 = RP 200,000 Jadi, jumlah kerugian adalah RP 200,000, 00 2.

Jika harga masuk adalah Rp 1.100.000 dan biaya pengeluaran Rp 1.100,00, maka harga pendapatan sama dengan harga penarikan.

Jadi, kondisi impas

Terjadi.

3. jika harga tiket masuk RP 2.100.000 dan harga pengeluaran RP 2.000,00, maka harga masuk lebih besar dari pengeluaran

Harga.

Jadi, kondisi yang terjadi menguntungkan

.

Kemudian

RP 2.100.000-RP 2.000.000, 00 = RP 100,000 Jadi, jumlah keuntungannya RP 100,000, 00.

4. jika harga masuk RP 1.650.000 dan harga produksi RP 1.550.000, maka harga masuk lebih besar dari pengeluaran

Harga.

Jadi, kondisi yang terjadi menguntungkan

.

Kemudian

RP 1.650.000-RP 1.550.000 = RP 100,000 Jadi, jumlah keuntungannya RP 100,000, 00.

berharap ini membantu!

A two-factor analysis of variance with 2 levels of factor A and 3 levels of factor B involves six separate hypothesis tests.

If the null hypothesis is correct, the F statistic will be low because the between-treatment variation (numerator) won't be greater than the residual or error variation (denominator). The F statistic will be high if the null hypothesis is untrue.

The residual variance, also known as the error variance, is the denominator of the F-ratio in a repeated-measures ANOVA and quantifies the amount of variance that would be predicted if neither a systematic treatment effect nor a personal characteristic were to influence the variability of the scores.

Hence we get the required answer.

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The reduced fraction is 6/7 using GCF method.

What is GCF method?

The largest number, which is the factor of two or more number is called the Greatest Common Factor (GCF). It is the largest number (factor) that divide them resulting in a Natural number. Once all the factors of the number are found, there are few factors which are common in both. The largest number that is found in the common factors is called the greatest common factor. The GCF is also known as the Highest Common Factor (HCF)

Given,

the fraction = 24/28.

the factors of 24  = 2×2×2×3

The factors of 28 = 2×2×7

The gcf is 2 × 2 = 4

divide the denominator and numerator by 4

24 ÷ 4 = 6

28÷ 4 = 7

We get,

the fraction = 6/7.

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The range is the weight of her identical twin sister Kathy is 119 < x < 137 i.e [ 119, 137 ].

In mathematics, inequality is a relationship between two expression or values which are not equal to each other. The symbols include in inequality are "<" , "≤" , ">" , "≥" , "≠".

We have, Research shows that difference in weight of identical twins.

Weight of Kim = 127 pounds

The difference in weight of twins is less than 6 pounds . Let the weight of Kim's sister Kathy be "x pounds". Now, the inequality of difference in their weights,

either x - 127 < 6 or 127 - x < 6

=> either x < 6+ 127 or -x < 6 - 127

=> either x< 133 or -x < - 119

=> either x < 137 or x > 119

So, range of weight of her sister Kathy is 119 < x < 137.

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Answer:

She made a profit of $6.85

Step-by-step explanation:

she started out with 25 mangos for $7.50

she then sold 12 mangos for $7.15 leaving her with 13 mangos

she then sold the remaning mangos for 7.20

add $7.15 to $7.20 and you get $14.35

thats the gross profit, and you subtract that by $7.50, how much she bought the mangos for, to get her total net profit.

which is $6.85

Answer:

Step-by-step explanation:

Hope this Helps ;)

Using Union function of set theory, we get the answer as

A∪B= {3,4,6,8,9,12,15,16,20,21}.

What is Union function?

Using Union function of set theory, we get the answer as

A∪B= {3,4,6,8,9,12,15,16,20,21}.

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Statistical process control (SPC) is a technique used in quality control to monitor and control a process over time

What is used to periodically check that a process is in statistical control?

a. sampling

b. scrap parts

c. the process is only measured in the beginning 100 percent inspection.

a. Sampling is used to periodically check that a process is in statistical control.

Statistical process control (SPC) is a technique used in quality control to monitor and control a process over time. SPC involves collecting and analyzing data on the process, and using statistical methods to determine whether the process is in statistical control (i.e., producing consistent and predictable results) or is out of control (i.e., producing inconsistent or unpredictable results).

One way to monitor a process using SPC is to use sampling. This involves taking a sample of parts or products from the process at regular intervals, and measuring certain characteristics of the sample (such as dimensions, weight, or color). The data collected from the samples can then be analyzed using statistical methods to determine whether the process is in control or out of control.

If the data collected from the samples indicates that the process is out of control (i.e., producing inconsistent or unpredictable results), corrective action can be taken to bring the process back into control. By regularly monitoring and adjusting the process using SPC techniques like sampling, organizations can ensure that their processes are producing consistent and high-quality results.

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Answer:

5 (x - 2)

Step-by-step explanation:

1. Factor by grouping

5 (x - 2)

This is the answer.

I hope this helps      :)

The given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

To show continuity, we need to verify that the partial derivatives of ψ and φ with respect to x and y are equal. Let's calculate these partial derivatives:

∂ψ/∂x = 2y

∂ψ/∂y = 2x

∂φ/∂x = 2x

∂φ/∂y = -2y

From the above calculations, we can see that the partial derivatives of ψ and φ with respect to x and y are equal. Therefore, the condition for continuity, which requires the equality of partial derivatives, is satisfied.

To show irrotational flow, we need to verify that the curl of the velocity vector is zero. The velocity vector can be obtained from the stream function ψ and velocity potential φ as follows:

V = ∇φ x ∇ψ

Taking the curl of V:

∇ x V = ∇ x (∇φ x ∇ψ)

Using vector calculus identities and simplifying the expression, we find:

∇ x V = 0

Since the curl of the velocity vector is zero, the condition for irrotational flow is satisfied.

Therefore, based on the calculations and verifications, we can conclude that the given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

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