what is the value of the 6 in the number 67,328

Answer:

For me

Step-by-step explanation:

I think it's A because x is unknown and per minutes meaning 50 times the x plus the 229

Answer:

39.2

Step-by-step explanation:

A- area of trapezoid

a-Base  

b-Base  

h-Height

The value of r in permutation P(5, r) = 2P(6, r-1) is 11.  So, option d) is correct.

We know that the formula for the permutation of r objects taken from n distinct objects is P(n, r) = n! / (n-r)!. Using this formula, we can rewrite the given equation as:

5! / (5-r)! = 2 * 6! / (6-r+1)!

Simplifying this equation, we get:

5! / (5-r)! = 2 * 6! / (7-r)!

(5-r)! / 5! = (7-r)! / (2 * 6!)

(5-r)! / 5! = (7-r)! / 12

Since 5! = 120, we can simplify the left-hand side to:

(5-r)! / 120 = (7-r)! / 12

Multiplying both sides by 12, we get:

(5-r)! / 10 = (7-r)!

Multiplying both sides by 10, we get:

(5-r)! = 10 * (7-r)!

We can now manually try different values of r until we find one that satisfies the equation. Trying r = 3, we get:

(5-3)! = 10 * (7-3)!

2! = 10 * 4!

2 = 240

Since this is a contradiction, we can eliminate option (a) from the answer choices. Trying r = 5, we get:

(5-5)! = 10 * (7-5)!

1 = 20

Again, this is a contradiction, so we can eliminate option (b) from the answer choices. Trying r = 8, we get:

(5-8)! = 10 * (7-8)!

(-3)! = -10

Since the factorial of a negative number is undefined, this is not a valid solution, so we can eliminate option (c) from the answer choices. Therefore, the correct answer is (d) 11. Trying r = 11, we get:

(5-11)! = 10 * (7-11)!

(-6)! = 10 / 24

Simplifying the right-hand side, we get:

(-6)! = 5 / 12

Since the left-hand side is undefined for negative integers, we can eliminate this solution. Therefore, the only valid solution is r = 11, which we can confirm by checking that both sides of the equation are equal when r = 11. So, the correct answer is option (d).

To know more about Permutation:

https://brainly.com/question/30649574

#SPJ4

In the following question, A linear system is ill-conditioned if its solution is highly sensitive to small changes in the problem data is said to be True.

What is a linear system? In mathematics, a linear system refers to a system of linear equations that can be expressed in matrix form as Ax = b. A is a matrix, x is a vector, and b is a constant vector. When working with linear systems, we must keep track of the numerical accuracy of the computations. When a small change in the matrix or constant vector produces a large change in the solution, the matrix is said to be ill-conditioned.

The mathematical concept of condition numbers measures the sensitivity of a matrix to changes in the problem data. If a matrix has a high condition number, it is said to be ill-conditioned, whereas if it has a low condition number, it is said to be well-conditioned. An ill-conditioned matrix is difficult to solve numerically because a small error in the input data can produce a large error in the computed solution.

Therefore, the statement that "a linear system is ill-conditioned if its solution is highly sensitive to small changes in the problem data" is correct, and it is true.

For more such questions on linear system

https://brainly.com/question/2030026

#SPJ11


Answer:

x = 0

Step-by-step explanation:

Using the rule of exponents

\(a^{0}\) = 1

Given

\((2^{6}) ^{x}\)

= \(2^{6x}\)

The only way for this to equal 1 is for x to be zero

Thus x = 0

The order of the differential equation d²y/dx² + 4x(dy/dx) = d³(cos(2x))/dx³ is 3.

The order of a differential equation is determined by the highest derivative present in the equation. In the given differential equation, the highest derivative is the third derivative, d³(cos(2x))/dx³. Since this is the highest derivative and there are no higher-order derivatives present, the order of the differential equation is 3. This means that the equation involves up to the third derivative of the dependent variable y with respect to the independent variable x.

You can learn more about differential equation at

https://brainly.com/question/1164377

#SPJ11

The equivalent units for the Compounding Department for August 2019 is 57,000 pounds.

Here is the explanation -

To calculate the equivalent units for the Compounding Department in August 2019 using the weighted average method, we need to consider the units that were started and completed, as well as the ending work-in-process.

Step 1: Calculate the equivalent units for units started and completed:
- 36,000 pounds were started.
- 34,000 pounds were transferred out.
Equivalent units for units started and completed = 34,000 pounds.

Step 2: Calculate the equivalent units for ending work-in-process:
- Ending work-in-process was 70% processed.
- Beginning work-in-process was 2,000 pounds (60% processed).
Equivalent units for ending work-in-process = (70% x Ending work-in-process) + (60% x Beginning work-in-process)
Equivalent units for ending work-in-process = (70% x 2,000 pounds) + (60% x 36,000 pounds)
Equivalent units for ending work-in-process = 1,400 pounds + 21,600 pounds
Equivalent units for ending work-in-process = 23,000 pounds.

Step 3: Calculate the total equivalent units:
Total equivalent units = Equivalent units for units started and completed + Equivalent units for ending work-in-process
Total equivalent units = 34,000 pounds + 23,000 pounds
Total equivalent units = 57,000 pounds.

Therefore, the equivalent units for the Compounding Department for August 2019 is 57,000 pounds.

To know more on Weighted average visit:

https://brainly.com/question/28334973

#SPJ11

The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct

Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.

The formula for calculating YTM is as follows:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

Where:

C = Interest payment

F = Face value

P = Market price

n = Number of coupon payments

Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.

First, let's calculate the semi-annual coupon payment:

Semi-annual coupon rate = 5.2% / 2 = 2.6%

Face value = $1000

Market price = $884

Number of years remaining until maturity = 10 years

Number of semi-annual coupon payments = 2 x 10 = 20

Semi-annual coupon payment = Semi-annual coupon rate x Face value

Semi-annual coupon payment = 2.6% x $1000 = $26

Now, we can calculate the yield to maturity using the formula:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100

YTM = 6.23%

Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.

Learn more about yield to maturity

https://brainly.com/question/26376004

#SPJ11

When the radius is 186 in. and the height is 148 in., the cone's volume decreases at rate 16,173 in³/s

Volume of a cone is given by:

V = 1/3. πr².h

Where:

r = base radius

h = height

Take the derivative with respect to t

dV/dt = 1/3 . π . (r².dh/dt + h. 2r. dr/dt)

Parameters given in the problem:

dr/dt = 1.6 in/s

dh/dt = -2.1 in/s

r = 186 in.

h = 148 in.

Plug the parameters into the derivative"

dV/dt = 1/3 . π . (186².(-2.1) + 148. 2. 186. 1.6)

dV/dt = 16,173 in³/s

Learn more about derivative here:

https://brainly.com/question/12047216

#SPJ4

The desired fuel efficiency of a car two years from now would ideally be improved compared to the current fuel efficiency.

There are several reasons why we would want the fuel efficiency of a car to be better in the future:

Environmental Concerns: Improving fuel efficiency helps reduce carbon emissions and minimize the environmental impact of vehicles. As the world becomes more conscious of climate change and the need to reduce greenhouse gas emissions, enhancing fuel efficiency plays a vital role in mitigating environmental damage.

Energy Conservation: Better fuel efficiency means using less fuel to travel the same distance. With finite energy resources and the need to conserve them, improving fuel efficiency helps reduce the overall energy consumption in transportation, leading to better resource management.

Cost Savings: Increasing fuel efficiency directly translates to lower fuel consumption and reduced expenses for car owners. With rising fuel prices, having a more fuel-efficient car can significantly cut down on fuel costs, saving money for individuals and businesses.

Technological Advancements: As technology progresses, advancements in engine design, aerodynamics, lightweight materials, and alternative energy sources enable the development of more fuel-efficient vehicles. Striving for improved fuel efficiency encourages innovation in the automotive industry, leading to the creation of more sustainable and eco-friendly transportation options.

Government Regulations: Many governments worldwide have implemented fuel efficiency standards and regulations to reduce fuel consumption and emissions. By meeting or exceeding these standards, car manufacturers contribute to a cleaner and more sustainable transportation sector.

Ultimately, aiming for improved fuel efficiency two years from now aligns with the global push for environmental sustainability, energy conservation, cost savings, technological advancements, and adherence to regulatory standards. It benefits both individuals and society as a whole by promoting a greener and more efficient approach to transportation.

To learn more about fuel efficiency

https://brainly.com/question/27021605

#SPJ11

Answer:

Step-by-step explanation:

Each angle is the sum of the total angles divided by the number of sides. Hence, the angle of the regular polygon with 40 sides is 171°.

Answer:

-5

Step-by-step explanation:

2 - 1 = 1

5 - 10 = -5

-5 divided by 1 = -5

Answer

Step-by-step explanation

Answer:

the fifth answer is the right one

Answer:

D.  y = -2/3 x + 4/3

Step-by-step explanation:

When you have a perpendicular line, everything except the y-intercept becomes opposite. So 3/2x + 6 will become -2/3x.

To find the slope, you have to plug the coordinates into the equation so far which is y = -2/3x + b

y = -2/3x + b

2 = -2/3(-1) + b

2 = 2/3 + b

4/3 = b

So the equation is y = -2/3 x + 4/3.

Answer:

The percent change in attendance from the 2014 to 2015 school year is a 11.5385% decrease, or 12% when rounded.

Make sure to mark as Brainliest if this is correct so others know that this is the correct answer.

Answer:

r u cheating or just need "HELP"

Step-by-step explanation:

Answer:

24 ounces for 6.00

Step-by-step explanation:

it has more in it.

Yes, its true that the questionnaire is very carefully constructed by an individual to provide the measurement instrument.  

A questionnaire is a studies device which includes a sequence of questions for the motive of amassing facts from respondents. Questionnaires may be concept of as a form of written interview. A questionnaire is a listing of questions or gadgets used to collect facts from respondents approximately their attitudes, experiences, or opinions.

Questionnaires may be used to acquire quantitative and/or qualitative facts. Questionnaires are generally utilized in marketplace studies in addition to withinside the social and fitness sciences. Questionnaires are typically taken into consideration to be excessive in reliability. This is due to the fact it's miles feasible to invite a uniform set of questions. Any troubles withinside the layout of the survey may be ironed out after a pilot study. The greater closed questions used, the greater dependable the studies.

To learn more about questionnaire, refer: brainly.com/question/25685309

#SPJ4

Answer:

#3 is 100

#2 is west

#1 is 80

Step-by-step explanation:

Answer:

The cost per duck is $5.00 and $8.00 for chickens

Step-by-step explanation:

The equation would be like this:

50c + 30d = 550 (divide this by 10)

5c + 3d = 55

3d = 55 - 5c (multiply by 3)

9d = 165 - 15c

Next,

44c + 36d = 532 (divide this by 4)

11c + 9d = 133

11c + 165 - 15c = 133

11c - 15c = 133 - 165

-4c = -32 (divide by -4)

c = 8

Therefore, the cost of each chicken is $8.00

9d = 165 - 15c

9d = 165 - 15(8)

9d = 165 - 120

9d = 45 (divide by 9)

d = 5

The given statement, "B. If t is a real number that corresponds to the point on the unit circle that lies along the positive y-axis, then tant is undefined" is not true because, Tant is undefined if t is a real integer corresponding to the point on the unit circle that lies along the positive y-axis..

Statement (B) is false: "If t is a real integer corresponding to the point on the unit circle that is along the positive y-axis, then tant is undefined."

The following is an explanation for the aforementioned answer: For 90° and 270° angles, the tangent (tan) function is undefined. It is a standard angle on the unit circle and sits on the positive y-axis, it equates to 90 degrees or pi/2 in radians. The tangent function is not undefined at this angle, as shown below:

tan(pi/2) = undefined

Therefore, statement (B) is not true.

Learn more about tangent functions:

https://brainly.com/question/7966290

#SPJ11

Answer:

Rs 1425

Step-by-step explanation:

=(30×40) + (15×15)

=1425

Answer:29,697

Step-by-step explanation: multiply 57x521 and you get 29,697

The function \(F(x) = 2x^3\) is not odd term, while the function f(x) = -4 is an even function.

1. Odd Function:

A function is assumed as odd if it satisfies the following property:

For any value x, if f(x) is defined f(-x) = -f(x).

In the given example, the function \(F(x) = 2x^3\)is not an odd function. To find if a function is odd, we substitute -x for x and simplify:

\(F(-x) = 2(-x)^3 = 2(-x)(-x)(-x) = -2x^3\)

Since \(-2x^3\) is not equal to -F(x), then the function does not satisfy the property of an odd function.

2. Even Function:

A function is assumed as even if it satisfies the following property:

- For any value x, if f(x) is defined f(-x) = f(x).

In the given, the function f(x) = -4 is an even function. To find if a function is even, we substitute -x for x and simplify:

f(-x) = -4

Since -4 is equal to f(x) = -4, the function must satisfies the property of an even function.

For similar question on function.

brainly.com/question/29631554

#SPJ12

Answer: The unit value of a cubic centimeter (cm^3) is the same as the metric measurement of a milliliter (mL).

This is because 1 milliliter is equal to 1 cubic centimeter. In other words, if you have a cube that measures 1 centimeter on each side, its volume would be 1 cubic centimeter, which would also be equivalent to 1 milliliter of volume.

This relationship between cm^3 and mL is commonly used in scientific and medical measurements involving liquids and gases.

The unit value of a cubic centimeter (cc) is equivalent to one milliliter (mL) in the metric system. Both cubic centimeters and milliliters are used to measure volume, and their conversion is straightforward: 1 cc = 1 mL.

The metric system uses base units such as meters, liters, and grams, and applies prefixes like kilo-, centi-, and milli- to indicate larger or smaller units of measurement.
Cubic centimeters are often used to measure the volume of solid objects or the capacity of containers, while milliliters are more commonly used to measure the volume of liquids. However, both units represent the same volume and can be used interchangeably.
It is important to understand the difference between volume measurements and other metric measurements, such as length or mass. For instance, meters are used to measure length or distance, and grams are used to measure mass or weight. These units cannot be directly converted to cubic centimeters or milliliters, as they represent different physical properties.
In summary, a cubic centimeter (cc) is a unit of volume in the metric system that is equivalent to one milliliter (mL). Both units can be used to measure volume, and they have a simple conversion of 1 cc = 1 mL. Understanding the relationship between these units and other metric measurements is essential for accurately quantifying and comparing different physical properties.

To learn more about a cubic centimeter, refer:-

https://brainly.com/question/16670888

#SPJ11