Có 100 công nhân làm thuê sản xuất trong 1 tháng được 12500 đơn vị sản phẩm với chi phí tư bản bất biến là 250.000 USD. Giá trị sức lao động 1 tháng của mỗi công nhân là 250 USD, tỉ suất giá trị thặng dư là 300%.
Hãy xác định giá trị của 1 đơn vị sản phẩm và kết cấu của nó

Answer:

Choice 3

\(log \frac{x^2y}{z^2}\)

Step-by-step explanation:

We use 3 of the rules of logarithms

              \(\log (ab) = \log a + \log b\)

               \(\log\frac{a}{b} = \log a - \log b\)      

               \(\log (a^n) = n\log a\)

\(\log\frac{x^2y}{z^2} =\ log(x^2y) - \log(z^2)\)     (quotient rule)

\(\log(x^2y) = \log x^2 + \log y\)           (product rule)

\(\log x^2 = 2\log x\)                         (power rule)

\(\log z^2 = 2\log z\)                            (power rule)

Final result

\(log \frac{x^2y}{z^2} = 2\log x + \log y - \log z\)

We can see from the question that the graph of the function is as follows:

We can see that this is a piecewise function, and we can see that to find all x for which f(x) = -3, we can proceed as follows:

1. We can see that the values of the domain of the function for which the function is equal to -3 go from x = 0 until x = 1 (not included). We can conclude this because we have a solid circle that indicates that the function takes this value for x = 0, x = 0.1, and so on. The open circle indicates that the function does not take the value of y = -3 when x = 1.

Therefore, we can conclude that all values of x for which f(x) = -3 are given, in interval notation as follows:

We know that the range of a function is those values for y that we obtain for the function using the domain values of the function.

We can see from the graph that the values of the function go as follows:

Therefore, we can conclude that the range of the function is, in interval notation as follows:

Therefore, in summary, we have:

Part D

Answer:

Step-by-step explanation:

eq of line perpendicular to 3x+5y=10 is

5x-3y=a

where a is constant.

it passes through (3,2)

5(3)-3(2)=a

a=15-6=9

reqd. eq. is 5x-3y=9

or

3y=5x-9

y=5/3 x-3

gradient=5/3

y-intercept=-3

or

5y=-3x-10

y=-3/5 x-2

slope=-3/5

slope of reqd. line=-1/(-3/5)=5/3

eq. of line through (3,2) is

y-2=5/3(x-3)

3y-6=5x-15

3y=5x-15+6

3y=5x-9

y=5/3 x-3

This question has two steps, one is trigonometry, which should get us an equation to work with.

The second is algebra where we will have to use the equation we got to find x.

Assuming R is the center of the circle, we can see that the central angle ∠SRU is not equal to a value, but an expression:

And the inscribed angle ∠STU has the value 70°:

The value of an inscribed angle is the same as half the its central angle. This means that the value of ∠STU should be equal to half the value of ∠SRU:

Now, we can input the values we have for these angles:

Now, the trigonometric part ended, and we just have to solve the equation for x:

So, the value of x is 86°.

Answer:

y = 2x - 1

Step-by-step explanation:

-1 is the y-intersect of the slope

Answer:

16

Step-by-step explanation:

I don't know  how to explain but it is 16

Answer:

Since the Width (W) of the rectangle is not given, the answer would be Length (L) = 240/W

Step-by-step explanation:

A = L*W

240 = L*W

240/W = L

Answer:

x=7

Step-by-step explanation:

Vertical lines are lines that go up and down

They are of the form x =

The x coordinate of the point is 7

x=7

A vertical line goes through the x axis so we have the equation x = c, where the point intersects the x-axis.

We have the x axis of 7, so this is the x point the line interests.

So... c = 7

Finally, we have x = 7

Best of Luck!

Answer:

2 1/3 acres per hour

Step-by-step explanation:

If you divide both numbers by 2, you get 1/3 and 1/7. If 7 makes up an hour, then you multiply 1/3 by 7, which gets you 2.333.. which is equivalent to 2 1/3.

The best objective summary is that D. A boy is traveling alone when he stops at a ragged cabin, drawn in by the music and warmth of the fire,and it is there that he meets the girl who likes to dance. He is unable to stay because he is afraid of the dark. He meets up with the girl later.

It should be noted that an objective summary simply means the summary that doesn't include the opinions or judgement about what is written in the text.

It should be noted that the story was about a boy who was travelling and was drawn by a music. He met a girl at the place and eventually saw her later.

In conclusion, the correct option is D.

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»f(n) = 2n² + 6

so, g(n) = 2n² + 6

»g(2) = 2(2)² + 6

»g(2) = 2(4) + 6

»g(2) = 8 + 6

»g(2) = 14✅

As

\(\\ \rm\Rrightarrow g(n)=f(n)\)

\(\\ \rm\Rrightarrow g(2)=f(2)=14\)

Answer:

Step-by-step explanation:

sp = 504

gain = 12%

in this case

sp =100%+12%=504

112%=504

1%=504/112 =4.5

100%=450

so cost =$450

Hope im correct, if i am im glad to be of service.

Answer:

is 32

hope that helps!

The domain of the function f(x) that has a range of [-2, ∞) is [-2, ∞)

The inverse of a function that maps x into y, maps y into x.

The given coordinates of the points on the radical function, f(x) are; (-3, -2), (1, 0), (6, 1)

To determine the domain of

\( {f}^{ - 1}( x)\)

The graph of the inverse of a function is given by the reflection of the graph of the function across the line y = x

The reflection of the point (x, y) across the line y = x, gives the point (y, x)

The points on the graph of the inverse of the function, f(x), \( {f}^{ - 1} (x)\) are therefore;

\(( - 3, \: - 2) \: \underrightarrow{R_{(y=x)}} \: ( - 2, \: - 3)\)

\(( 1, \: 0) \: \underrightarrow{R_{(y=x)}} \: ( 0, \: 1)\)

( 6, \: 1) \: \underrightarrow{R_{(y=x)}} \: ( 1, \: 6)

The coordinates of the points on the graph of the inverse of the function, f(x) are; (-2, -3), (1, 0), (1, 6)

Given that the coordinate of point (x, y) on the image of the inverse function is (y, x), and that the graph of the function, f(x) starts at the point (-3, -2) and is increasing to infinity, (∞, ∞), such that the range of y–values is [-2, ∞) the inverse function, \( {f}^{ - 1}( x)\), which starts at the point (-2, -3) continues to infinity, has a domain that is the same as the range of f(x), which gives;

The domain of the inverse of the function, \( {f}^{ - 1}( x)\), using interval notation is; [-2, ∞)

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The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

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Answer:

\(\displaystyle 64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\approx3.66\)

Step-by-step explanation:

\(\displaystyle \iint_R(3x-y)\,dA\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r\cos\theta-r\sin\theta)\,r\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r^2\cos\theta-r^2\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0r^2(3\cos\theta-\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\frac{64}{3}(3\cos\theta-\sin\theta)\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\biggr(64\cos\theta-\frac{64}{3}\sin\theta\biggr)\,d\theta\)

\(\displaystyle =\biggr(64\sin\theta+\frac{64}{3}\cos\theta\biggr)\biggr|^\frac{\pi}{2}_\frac{\pi}{4}\\\\=\biggr(64\sin\frac{\pi}{2}+\frac{64}{3}\cos\frac{\pi}{2}\biggr)-\biggr(64\sin\frac{\pi}{4}+\frac{64}{3}\cos\frac{\pi}{4}\biggr)\\\\=64-\biggr(64\cdot{\frac{\sqrt{2}}{2}}+\frac{64}{3}\cdot{\frac{\sqrt{2}}{2}}\biggr)\\\\=64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\biggr\\\\\approx3.66\)

The null and alternative hypothesis for a physician who check your blood pressure are as follows:

When a physician checks a patient's blood pressure, they may use a diagnostic threshold of 90 mmHg to diagnose hypertension. In statistical terms, the null hypothesis (H0) would be that the patient's blood pressure is less than or equal to 90 mmHg. The alternative hypothesis (H1) would be that the patient's blood pressure is greater than 90 mmHg.

The physician would then use various statistical tests, such as a t-test or a z-test, to determine whether the patient's blood pressure is statistically significantly different from the threshold of 90 mmHg. Based on the results of the test, the physician would either reject the null hypothesis in favor of the alternative hypothesis, indicating that the patient has hypertension, or fail to reject the null hypothesis, indicating that the patient's blood pressure is within the normal range.

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Answer:

I dont know how to read hindi can u pls translate it into English

Answer:

\( \text{C.} \: f(x) \: = \: |x| \)

Step-by-step explanation:

To identify the absolute value of a number, it will always be represented between two sticks.

Answer:

3 of each gallon

Step-by-step explanation:

It worked for me on ttm

Answer:

4 of 1/3 and 1 of 1/6

Step-by-step explanation:

5/6+2/3=9/6

9/6+4/3=17/6

17/6+1/6=18/6

18/6=3

Step-by-step explanation:

You deposit some money into a bank account paying 4% simple interest per year. You received $72 in interest after 3 years. How much the deposit (principal) was?

Answer:

Option C

Step-by-step explanation:

A solid dot is present at 10

So the equation of number line is

As equal to sign present .

Option C is correct

The increase in percentage is 17 percent

Answer:

17%

58.50-50=8.5

8.5/50=0.17

0.17=17%

I hope this is good enough:

The number is 48.

Let's represent the two-digit number as 10x + y, where x is the tens digit and y is the units digit.

According to the given information, the units digit is twice the tens digit. So we have the equation:

y = 2x

If the number is doubled, it will be 12 more than the number reversed. When we double the number, we get 2(10x + y), and the number reversed is 10y + x.

Therefore, we can write the equation as:

2(10x + y) = 10y + x + 12

Simplifying this equation, we get:

20x + 2y = 10y + x + 12

19x = 8y + 12

19x - 8y = 12

We have two equations now:

y = 2x

19x - 8y = 12

Substituting the value of y from the first equation into the second equation, we get:

19x - 8(2x) = 12

19x - 16x = 12

3x = 12

x = 4

Now we can substitute the value of x back into the first equation to find y:

y = 2x

y = 2(4)

y = 8

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The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.

A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?

The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.

The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'

Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).

Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.

Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200

Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.

The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.

The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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Answer: 2

4 – (6-4) = 2

Answer: 2- (y= 6 , z=2)

Step-by-step explanation:

If z = 4 and y = 6, then we can substitute these values into the expression:

z - (y - z) = 4 - (6 - 4)

Expanding the subtraction in the parentheses, we get:

z - (y - z) = 4 - (6 - 4) = 4 - (2) = 4 - 2

Finally, solving for the subtraction:

z - (y - z) = 4 - 2 = 2

So, the value of the expression z - (y - z) when z = 4 and y = 6 is 2.

Answer:

Luis.

Step-by-step explanation:

180-90-20-40= 30

A triangle's angles have to make up 180 degrees, thus Luis is correct.

The number of hours he spent babysitting is 12 hours and the number of hours he spent mowing lawns last week is 8 hours.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given that, John works two jobs. He earns $10 an hour babysitting his neighbour's children and $15 an hour mowing lawns in his neighbourhood. Last week he worked a total of 20 hours and earned a total of $240.

Let the x be the number of hours he spent babysitting and y be the number of hours he spent mowing lawns last week,

Establishing the equation, we get,

x+y = 20

x = 20-y......(i)

10x+15y = 240.......(ii)

Using the equation (i) in (ii), we get

10(20-y)+15y = 240

200-10y+15y = 240

5y = 40

y = 8

Put y = 8 in eq(i)

x = 20-8

x = 12

Hence, the number of hours he spent babysitting is 12 hours and the number of hours he spent mowing lawns last week is 8 hours.

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The number of different 5-player teams is 3 * 4 * 2 * 3 * 2 = 144.

An algebraic expression is a mathematical statement that includes variables, numbers, and operations. It can be thought of as a combination of terms, each of which may contain one or more factors. The variables can represent any number, and the numbers can be positive, negative, or zero.

In an algebraic expression, the operations may include addition, subtraction, multiplication, division, and exponentiation. The order of operations rules apply, so expressions inside brackets or parentheses are evaluated first, followed by exponents, then multiplication and division, and finally addition and subtraction.

Algebraic expressions can be used to represent real-life situations or problems, and they can be manipulated in various ways to solve those problems. For example, algebraic expressions can be simplified by combining like terms or factoring, or they can be solved for a specific variable by isolating that variable on one side of the equation.

Overall, algebraic expressions are an important tool for solving mathematical problems, and they form the basis of algebraic equations and inequalities.

To form a 5-player team, we have to select 1 player from each of the 3 centers, 4 power forwards, 2 small forwards, 3 shooting guards, and 2 point guards. The number of different 5-player teams can be determined by multiplying the number of choices for each position:

Centers: 3 choices

Power forwards: 4 choices

Small forwards: 2 choices

Shooting guards: 3 choices

Point guards: 2 choices

So, the number of different 5-player teams is 3 * 4 * 2 * 3 * 2 = 144.

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