32lb/day= ?kg/day please help

Answer: 120 yds

Step-by-step explanation:

48+30+24+18+120 yds

The required maximum value of C is 16, and it occurs when x = 3 and y = 2.

To find the maximum value of C = 4x + 2y subject to the restraints x > 2, x < 5, y > 1, and y < 6, we can use the method of Lagrange multipliers.

First, we set up the Lagrangian function L as follows:

L = 4x + 2y - λ₁(x - 2) - λ₂(x - 5) - λ₃(y - 1) - λ₄(y - 6)

where λ1, λ2, λ3, and λ4 are Lagrange multipliers.

Next, we take the partial derivatives of L with respect to x, y, λ1, λ2, λ3, and λ4, and set them equal to zero:

∂L/∂x = 4 - λ₁ - λ₂ = 0

∂L/∂y = 2 - λ₃ - λ = 0

∂L/∂λ₁ = x - 2 = 0

∂L/∂λ₁ = 5 - x = 0

∂L/∂λ₃ = y - 1 = 0

∂L/∂λ₄ = 6 - y = 0

Solving these equations simultaneously, we get:

λ₁ = 1, λ₂ = 3, λ₃ = 1, λ₄ = 1, x = 3, y = 2

Therefore, the maximum value of C is:

C = 4x + 2y = 4(3) + 2(2) = 16

So, the maximum value of C is 16, and it occurs when x = 3 and y = 2.

Learn more about Lagrange multipliers here:

https://brainly.com/question/30776684

#SPJ1

Answer:

8

Step-by-step explanation:

68/8.2=8

Answer:

69.12 ft

Step-by-step explanation:

The formula for circumference of a circle is 2πr

= 2 × 3.142× 11

= 69.12

Hence the circumference of the circle is 69.12 ft

Answer:

Step-by-step explanation:

It’s D

Answer: \(D.) x>1\)

Step-by-step explanation:

Due to the inequality being an open circle, the > will not have a line under it

and it will point to the right due to the line going to the right

\(x>1\)

Answer:

1/12

Step-by-step explanation:

1/2 multiplied by 1/6 equals 1/12

Step-by-step explanation:

it is in the picture that I have provided

The equation s = 45t, where s is the distance in miles and it is the time in hours, can be used to simulate the distance driven by a car over a period of time then the car will travel 135 hours in 3 hours.

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality.

Given: The distance traveled by car at a constant rate is proportional to the time spent driving.

In the equation d = 45 t, d denotes the distance (in miles) and t denotes the time (in hours).

d / t = 45 miles per hour

The constant of proportionality = 45 miles per hour.

Also, the distance traveled by car in 1 hour = 45 miles

The distance traveled by car in 3 hours = 3 × 45 = 135 miles

Therefore, a car will travel 135 hours in 3 hours.

The complete question is:

The distance traveled by car at a constant rate is proportional to the time spent driving. In equation d = 45t, d represents the distance (in miles) and t represents the time (in hours).

A. What is the constant of proportionality? _____ miles per hour

B. How far will the car travel in 3 hours? _______ miles

To learn more about constant of proportionality refer to:

https://brainly.com/question/28413384

#SPJ13

Answer: b) $60.56 per year of age

Step-by-step explanation: If the scatterplot of two variables shows a line and the correlation between them is strong, we can calculate a regression line.

Regression line is a line graph that best fits the data. Like any other line, its formula is given by

y = mx + b

with

m being the slope

b the y-intercept

The slope of the line, correlation and standard deviations of the two variables have the following relationship:

\(m=r\frac{S_{y}}{S_{x}}\)

where

r is correlation

\(S_{y}\) is standard deviation for the y data

\(S_{x}\) is standard deviation for the x data

For our problem:

r = 0.34

\(S_{y}=\) 2850

\(S_{x}=\) 16

Calculating

\(m=0.34(\frac{2850}{16})\)

m = 60.56

Slope for the regression line of annual income per year of age is 60.56.

Answer:

Step-by-step explanation:

The profit is the difference between the revenue and the total cost:

Substitute values:

The difference between cost and revenue is profit

Answer:

The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient.

Step-by-step explanation:

Answer:

dividind symbol

Step-by-step explanation:

idk

The tree diagram that correctly illustrates the possible outcomes if he takes his toys out of, and puts them back in to, the basket three times is D. None of the above.

A new management planning tool called a tree diagram shows the hierarchy of activities and subtasks required to accomplish a target. A single item that branches into two or more, each of which branches into two or more, and so on, is the starting point of the tree diagram.

It should be noted the tree should have three. branches in this case. This wasn't captured by the diagrams.

The correct option is D.

Learn more about tree diagram on;

https://brainly.com/question/24391505

#SPJ1

Answer:

Step-by-step explanation:

g(f(10)) = g(½·10+1)

= g(6)

= 6+2

= 8

Answer:

the answer is 10

Step-by-step explanation:

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

The vοlume οf the prism is 14 cubic feet.

A three-dimensiοnal structure having six rectangular faces is called a prism. It is alsο knοwn as a rectangular cubοid οr a rectangular parallelepiped.

The prism is cοmpletely filled with 1750 cubes that have an edge length οf 1/5 ft. This means that the vοlume οf each cube is \((1/5)^3 = 1/125\) cubic feet.

Tο find the vοlume οf the prism, we can divide the tοtal vοlume οf the cubes by the number οf cubes:

Vοlume οf prism = (Vοlume οf οne cube) x (Number οf cubes)

Vοlume οf prism = (1/125) x 1750

Vοlume οf prism = 14 cubic feet

Therefοre, the vοlume οf the prism is 14 cubic feet.

To know more about rectangular prism visit:

brainly.com/question/21308574

#SPJ1

When the unit digits are the same , we have to look at the decimal places . Since the unit digits in 5.7 and 5.89 are same , which is 5 , let us look at the decimals . As 5.89 has more decimal digits when compared with 5.7 , we say that the measurement 5.89 has more precision .

Therefore , 5.89 us has more precision .

a) The definition of the composite function is: \((f \circ g)(x) = \frac{6}{12 + 2x}\)

b) The domain of the composite function is: (-∞, -6) U (-6, -2) U (-2,0) U (0, ∞).

The composite function of f(x) and g(x) is given by the function rule presented as follows:

(f ∘ g)(x) = f(g(x)).

For the composition of two functions, we have that the output of the inner function, which in this example is given by g(x), serves as the input of the outer function, which in this example is given by f(x).

The functions for this problem are given as follows:

Hence the composite function is obtained as follows:

\((f \circ g)(x) = f(\left\frac{6}{x}\right)\)

\((f \circ g)(x) = \frac{\frac{6}{x}}{\frac{6}{x} + 2}\)

\((f \circ g)(x) = \frac{\frac{6}{x}}{\frac{12 + 2x}{x}}\)

\((f \circ g)(x) = \frac{6}{12 + 2x}\)

The domain is all real values except x = 0, x = -2 and x = -6, as f(x) is not defined at x = -2 and g(x) is not defined at x = 0 and the composite function is not defined at x = -6, hence the interval notation is:

(-∞, -6) U (-6, -2) U (-2,0) U (0, ∞).

More can be learned about composite functions at https://brainly.com/question/10687170

#SPJ1

Answer: 15 boys and 10 girls

Step-by-step explanation:

15/3=5, so the you have to multiply 2 by 5 to get the number of girls. 2x5=10, so to get the total number of students you add 15+10 which gets you 25 students, but if it’s just asking for girls, then it’s 10.

Answer:

25

Step-by-step explanation:

3:2 = 15:10 ( 3x5 = 15 boys; 2x5 = 10 girls)

15+10=25 total boys and girls

Answer:

y = 4

Step-by-step explanation:

Given

3x + 7y = 37 ← substitute x = 3 into the equation

3(3) + 7y = 37, that is

9 + 7y = 37 ( subtract 9 from both sides )

7y = 28 ( divide both sides by 7 )

y = 4

Step-by-step explanation:

The points which represents a the solution are: A, C, D and K

What are coordinates?

Coordinates can be defined as the ordered pairs in which it is used to locate any points in 2D.

The given inequalities:  y ≤ −2x + 10 & y > 1/(2x − 2)

The given points: A(-5,4), B(4,7), C(-2,7), D(-7,1), E(4,-2),

F(1,-6), G(-3,-10), H(-4,-4), I(9,3), J(7,-4) and K(2,3).

The attached figure represents the graph of the given inequalities.

The shaded area represents the solution of the inequalities.

So, the points lies in the shaded area represents the solution of the inequalities.

So, points A, C, D and K are a solution to the system of inequalities.

Note only if

If the given inequalities:  y ≤ −2x + 10 & y > (1/2x) - 2

It will be the same solution.

Hence, The  points A, C, D and K are a solution to the system of inequalities.

To learn more about Coordinates from the given link.

https://brainly.com/question/27749090

#SPJ1

Answer:

Step-by-step explanation:

9 ÷ 513 = 0.01754385964

513 ÷ 9 = 57

Answer:

0.01754385964 ( 9 divided by 513 )

Step-by-step explanation:

How do you divide step by step?

Here are some easy 3 steps for dividing.

   Step 1: Take the first digit of the dividend from the left. ...

   Step 2: Then divide it by the divisor and write the answer on top as the quotient.

   Step 3: Subtract the result from the digit and write the difference below.

Answer:

26

Step-by-step explanation:

h=21+5

h=26

The value of h will be 26, when p =7.

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e. a and b respectively, are not equal to zero.

The method  in which, the value of one variable from one equation is substituted in the other equation. So that, a pair of the linear equation gets transformed into one linear equation with only one variable, which can then easily be solved. This method is called substitution method.

According to the given question we have

A linear equation in two variable

h = 3p + 5

So, the value of h when p = 7

Substitute, p = 7  in h = 3p + 5

⇒ h = (3 × 7) + 5

⇒ h = 21 + 5

⇒ h = 26

Hence, the value of h will be 26, when p =7.

Learn more about linear equation in two variable here:

https://brainly.com/question/24085666

#SPJ2

The statements that are true about the graph of y < 2x+1 include the following:

C. The area below the line is shaded.

D. A solution to the inequality is (2, 3).

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided, we have the following equation (inequality);

y < 2x + 1

The slope of the above equation (inequality) is 2 and the y-intercept of the boundary line is (1, 0). Additionally, the area below the dashed line must be shaded because the inequality symbol is less than (<).

Read more on inequality here: brainly.com/question/27976143

#SPJ1

The order for the extra materials that are ordered by the man will be between 17.31 ft² and 23.08 ft².

From the information, the man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and wants to order between 15% and 20% extra of the material.

It should be noted that 15% of the material will be:

= 15% × 115.4

= 17.31 ft²

It should be noted that 20% of the material will be:

= 20% × 115.4

= 23.08 ft²

Learn more about percentages on:

brainly.com/question/24304697

#SPJ1

Answer:

.

Step-by-step explanation:

The blank spaces in the statements area. S, R, and Q  are distinct points that are collinear: b. TX and QS are distinct lines that intersect. c. Point Y and line QS are coplanar. d. Another name for plane P is: plane QSY.

Points that lie on the same straight line are collinear points.

If two lines are lie on the same plane, they are referred to as coplanar lines.

(a.) S, R, and Q are on a straight line. Therefore S, R, and Q  are distinct points that are collinear.

b. TX and QS are distinct lines that intersect.

c. Point Y and line QS are on the same plane. Therefore:

Point Y and line QS are coplanar.

d. Another name for plane P is: plane QSY.

Learn more about Colinear Points on https://brainly.com/question/24244967

#SPJ1

The body has a kinetic energy of 2125000 joules, and the gravel mold has a volume of 11.9 cubic units.

Given that,

The Kinetic Energy of an object depends on the object's and velocity , and can be written as v = m

Kinetic Energy of an object with a mass = 1,700 kilograms

Traveling = 50 meters per second

Radius = 4.92 ft

Kinetic energy, which may be seen in the movement of an item or subatomic particle, is the energy of motion. Kinetic energy is present in every particle and moving object. Examples of kinetic energy in action include a person walking, a baseball soaring through the air, a piece of food falling from a table, and a charged particle in an electric field.

Kinetic Energy of a body is given by ,

1/2 mv²

Where m = mass = 1700 kg

v = velocity = 50m/s

Therefore ,

KE = 1/2 * 1700kg * 50m/s

KE = 2125000 J.

Now to calculate the volume

Let's assume that the solution to the problem will be found using your formula. If so, let's carry out the following operations when solving for v in the equation:

On multiplying the equation by 2, the outcome is

2\(r^{2}\)

=3\(\sqrt{3V}\)

To find volume

enter (v=(2\(r^{2}\))/33)

rationalize the right side of the equation's numerator.

v=(2π\(r^{2}\) )

A simplified version of 3/333 is

v=(2\(r^{2}\))3/9.

Substitute

v=(23.143.1523)/9

v=11.9.

Therefore,

The body has a kinetic energy of 2125000 joules, and the gravel mold has a volume of 11.9 cubic units.

To learn more about Kinetic energy visit :

brainly.com/question/16825553

#SPJ4

The missing values in the quantitative reasoning given are : -2, 13 and 9

Given the rule :

We can deduce that :

For the left circle :

circle = -6 - (-4) = -6 + 4 = -2

For the right circle :

circle = 11 - (-2) = 11 + 2 = 13

For the left square :

square = 13 + (-4)

square = 13 -4 = 9

Therefore, the missing values are : -2, 13 and 9

Learn more on puzzle: https://brainly.com/question/27645967

#SPJ1