A shipping container is in the shape of a right rectangular prism with a length of 12 feet, a width of 13. 5 feet, and a height of 15 feet. The container is completely filled with contents that weigh, on average, 0. 47 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?


Answer=1142 lbs

Answer:

the answer to your question is 9cm² for the Area

the answer is 9 cm square

To find the inverse function of F(x) = 2x - 3, we replace F(x) with y, swap the positions of x and y, and solve for y. The inverse function is f⁻¹(x) = (x+3)/2.

To find the inverse function of F(x) = 2x - 3, follow these steps

Replace F(x) with y. The equation now becomes y = 2x - 3.

Switch the positions of x and y, so the equation becomes x = 2y - 3.

Solve for y in terms of x. Add 3 to both sides: x + 3 = 2y.

Divide both sides by 2 (x + 3)/2 = y.

Replace y with the notation for the inverse function, f⁻¹(x): f⁻¹(x) = (x + 3)/2.

So, the inverse function of F(x) = 2x - 3 is f⁻¹(x) = (x + 3)/2.

To know more about inverse function:

https://brainly.com/question/17872426

#SPJ1

--The given question is incomplete, the complete question is given

" How do I find the inverse function of F(x) = 2x - 3"--

An equation for this statement "The sum of seven times a number and 16 is 163," is 7n + 16 = 163.

The solution is 21.

In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into an algebraic equation as follows:

Let the variable n represent the unknown number.

Based on the statement "The sum of seven times a number and 16 is 163," we can logically deduce the following algebraic equation;

7n + 16 = 163

7n = 163 - 16

7n = 147

n = 147/7

n = 21.

Read more on equation here: brainly.com/question/18912929

#SPJ4

For this we can use an equation of y=mx+b, b will equal what she started with, and m will be how much she saves each week

Using this, we now can use the equation Y=15x+30, y equals the total she has saved, and x equals the weeks.

You should be able to use this equation to solve the rest now!

Answer:

9 adults

Step-by-step explanation:

Using double-colon notation, IPv6 numbers:

a. 5355:4821:0000:0000:0000:1234:5678:FEDC - 5355:4821::1234:5678:FEDC.

b. 0000:0000:0000:1234:5678:FEDC:BA98:7654 - ::1234:5678:FEDC:BA98:7654.

c. 1234:5678:ABCD:EF12:0000:0000:1122:3344 - 1234:5678:ABCD:EF12::1122:3344.

Double-colon notation is a shorthand method used to represent consecutive blocks of zeros in an IPv6 address. It is denoted by two colons (::) in the address. The double-colon can only be used once in an IPv6 address.

a. The IPv6 address 5355:4821:0000:0000:0000:1234:5678:FEDC can be represented using double-colon notation as 5355:4821::1234:5678:FEDC. The double-colon replaces the consecutive blocks of zeros in the middle of the address.

b. The IPv6 address 0000:0000:0000:1234:5678:FEDC:BA98:7654 can be represented using double-colon notation as ::1234:5678:FEDC:BA98:7654. The double-colon replaces the leading blocks of zeros in the address.

c. The IPv6 address 1234:5678:ABCD:EF12:0000:0000:1122:3344 can be represented using double-colon notation as 1234:5678:ABCD:EF12::1122:3344. The double-colon replaces the consecutive blocks of zeros in the middle of the address.

In summary, double-colon notation is a convenient way to represent consecutive blocks of zeros in an IPv6 address. It helps to simplify and shorten the representation of long IPv6 addresses.

To know more about IPv6 numbers, refer to the link below:

https://brainly.com/question/14413437#

#SPJ11

When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

For more questions on exponential function

https://brainly.com/question/30241796

#SPJ8

Answer:

see below

Step-by-step explanation:

4x^4 – 20x^2 + 25

= (2x-5)²

so the factor is 2x-5

Because VY and XY line WT is a bisector

Answer:

angle bisector

Step-by-step explanation:

hope this helps

Answer:

3 books on each shelf

5 books on each shelf

Step-by-step explanation:

The health club has 2 employees who work on lead generation. Each employee contacts leads for 20 hours a week and is paid $20 per hour. Approximately 8% of the leads become members and pay a one-time fee of $100. Material costs are $190 per week, and overhead costs are $1,100 per week. To analyze the productivity of the operation, we need to calculate the multifactor productivity in fees generated per dollar of input. The owner is also considering purchasing a new software program that would allow each employee to contact 20 more leads per week, but it would increase material costs by $260 per week. We need to calculate the new multifactor productivity if the software is purchased and determine how it would affect productivity.

a. To calculate the multifactor productivity, we need to determine the total fees generated and the total input costs. The total fees generated per week can be calculated as 8% of the total number of leads contacted multiplied by the one-time fee of $100, which is (0.08 * 200) * $100 = $1,600. The total input costs per week are the sum of employee wages, material costs, and overhead costs, which is (2 employees * 20 hours/week * $20/hour) + $190 + $1,100 = $2,490. Therefore, the multifactor productivity is $1,600 / $2,490 = 0.64.

b. If the owner purchases the software program and each employee can contact 20 more leads per week, the total number of leads contacted per week by both employees will be 2 * (200 + 20) = 440. The new material costs per week will be $190 + $260 = $450. The overhead costs remain the same at $1,100. The total input costs per week become (2 employees * 20 hours/week * $20/hour) + $450 + $1,100 = $1,650. The new multifactor productivity is $1,600 / $1,650 = 0.97.

c. The new multifactor productivity after purchasing the software program has increased to 0.97 from the previous value of 0.64. The change in productivity can be calculated as ((0.97 - 0.64) / 0.64) * 100 = 51.6%. Therefore, purchasing the software program would increase productivity by approximately 51.6%.

By analyzing the multifactor productivity and the impact of purchasing the software program, the owner can make an informed decision about whether the investment is worthwhile considering the potential increase in productivity.

Learn more about multifactor productivity here: https://brainly.com/question/13187520

#SPJ11

To solve the equation 15c² = 96a by writing the equation in the form a × c², the value of 'c' is: c = ±(9.79)

We have the given equation:15c² = 96aNow, we have to write the given equation in the form a × c².

So, dividing both sides of the equation by 15: c² = (96/15) × a c² = 6.4a

Now, we can say that a = 1 and c² = 6.4. Therefore, c = ±√6.4 = ±(2.53)(approx)

Multiplying both sides of the equation by 15, we get: 15c² = 15 × 6.4 = 96

Comparing this equation with the given equation 15c² = 96a, we can see that a = 1 and c = ±(2.53)(approx)So, the value of 'c' is c = ±(2.53)(approx)

Therefore, the value of 'c' in terms of options given are:C = ±(9.79) (approximately).

So, the correct option is d) C = 9.79.

To know more about equation visit :-

https://brainly.com/question/29657983

#SPJ11

Step-by-step explanation:

the amount per unit size

If the length of the minute hand of a clock is 7 cm. The area swept by the minute hand from 7:05am to 7:20am is approximately 54.88 square centimeters.

The minute hand of a clock makes a full circle in 60 minutes, which is 360 degrees. This means that in 1 minute, it sweeps an angle of 360/60 = 6 degrees. Therefore, in 15 minutes, it sweeps an angle of 6 * 15 = 90 degrees.

To find the area swept by the minute hand from 7:05am to 7:20am, we need to find the difference between the areas swept by the minute hand in these two times. The area swept by the minute hand in 15 minutes is a sector of a circle with radius 7 cm and central angle 90 degrees.

The formula for the area of a sector of a circle is:

Area = (θ/360) * π * r^2

where θ is the central angle in degrees, π is the value of pi (approximately 3.14), and r is the radius of the circle.

Plugging in the values, we get:

Area = (90/360) * π * 7^2 = 27.44 cm^2

Therefore, the area swept by the minute hand from 7:05am to 7:20am is:

2 * 27.44 = 54.88 cm^2

To learn more about clock click on,

https://brainly.com/question/13515477

#SPJ4

The equation which can be used to determine the angle "A" is sin(A) / 3.2 = sin(110) / 4.6.

Given a triangle ABX.

It is required to find the equation which is used to determine the measure of the angle A.

Using the law of sine, the ratio between the sine of an angle of a triangle and the side length opposite it is a constant.

Here the angles are A, B, and X.

The side lengths opposite these are 3.2, 2.4, and 4.6 respectively.

Using the law of sines:

sin(X) / AB = sin(A) / BX

Here,

X = 110°

AB = 4.6

BX = 3.2

Substitute.

sin(110) / 4.6 = sin(A) / 3.2

Or,

sin(A) / 3.2 = sin(110) / 4.6

Hence, the correct option is C.

Learn more about the Law of Sines here :

https://brainly.com/question/21634338

#SPJ4

The complete question is given below:

The system of equations are solved graphically and the value of x and y are -1 and -1 respectively

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the first equation be be P

y = 3x + 2   be equation (1)

Let the second equation be Q

y = -x - 2   be equation (2)

Now , the slope of the line P is m₁ = 3

The slope of the line Q is m₂ = -1

On simplifying the equations , we get

3x + 2 = -x - 2

Adding x on both sides , we get

4x + 2 = -2

Subtracting 2 on both sides , we get

4x = -4

Divide by 4 on both sides , we get

x = -1

Substitute the value of x in equation (1) , we get

y = -3 + 2

y = -1

Hence , the equations are plotted on the graph value of x and y are ( -1 , -1 )

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ1

Answer:

X= -7

Step-by-step explanation:

-25 + 8x +20 = -61

8x  -5 = -61

8x = -56

x = -7

Answer:

g(2) = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

g(t) = 5 + 2t

g(2) is t = 2

Step 2: Evaluate

Answer:

Length of hypotenuse of given triangle

= sqrt(356)   (exact value)

= 18.87 (to 2 decimal places)

Step-by-step explanation:

Using the pythagorean Theorem,

The hypotenuse

c = sqrt(a^2+b^2)

= sqrt(16^2+10^2)

= sqrt(356)   (exact value)

= 18.87 (to 2 decimal places)

The length of the hypotenuse of the right triangle is approximately

18.9 cm.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem:

c² = a² + b²

where c is the length of the hypotenuse, and a and b are the lengths of the other two sides (the base and the height in this case).

Plugging in the given values, we get:

c² = 16² + 10²

c² = 256 + 100

c² = 356

c ≈ 18.9

Rounding the answer to the nearest tenth of a centimeter, we get:

c ≈ 18.9 cm

Therefore,

The length of the hypotenuse of the right triangle is approximately

18.9 cm.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ3

After solving the quotient (2x^3 - 3x - 10) ÷ (x - 2) is 2x^2 + 4x + 5.

In the given question, we have to find the quotient (2x^3 - 3x - 10) ÷ (x - 2).

The given expression is (2x^3 - 3x - 10) ÷ (x - 2).

We must use the synthetic division approach to determine the quotient.

By artificial division,

1) Identify the term's coefficients.

2) Decrease the initial coefficient, which is 2.

3) Putting 4 under the second coefficient 0 (2×2 = 4) now. Together, we get 4.

4) We take 4 and double it by 2, which gives us 8. Put 8 under coefficient 3 in the third place. Together, we get 5.

5) Next, divide 5 by 2. We get 10. Under the fourth coefficient, put 10. Together, we get 0.

x-2 ) 2x^3          - 3x - 10 ( 2x^2 + 4x + 5

        2x^3 - 4x^2

       -       -

      ___________

                   4x^2 - 3x

                   4x^2 - 8x

                  -       -

              ______________

                               5x - 10

                               5x - 10

                              -      -

                         ____________

                                  0

Hence, after solving the quotient (2x^3 - 3x - 10) ÷ (x - 2) is 2x^2 + 4x + 5.

To learn more about synthetic division link is here

brainly.com/question/28824872

#SPJ4

The complete question is:

What is the quotient (2x^3 - 3x - 10) ÷ (x - 2)?

Answer:

x=18

Step-by-step explanation:

(6x+3)+(3x+15)=180

(6x+3x)+(3+15)=180

9x+18=180

    -18  -18

9x=162

162/9

x=18

An equation for revenue (r) as a function of (p) is R = 1380p - 10p²,

and R(25) = 28250.

Given that;

The cost of tickets for a specific series of concerts is set by a concert venue. The sales team discovers that 1,000 people on average attend concerts with tickets costing $38. The average attendance increases by 50 persons for every $5 decrease in price. Then,

Let 'T' be the number of times the price is decreased.

So, price;

     p = 38 – 5x

     x = (38 - p) / 5

And as per the given condition attendance;

a = 1000 + 50x

So, the Revenue is;

To develop an equation for revenue (r) as a function of p, the price of tickets;

R = p * a

R= p * (1000 + 50x)

But,  x = (38 - p) / 5

Then,

R = P * (1000 + 50(38 - p)/5)

  = p * (1000 + 380 - 10p)

  = p * (1380 – 10p)

  = 1380p - 10p²  → (I)

To get R(25) from (I);

R(25) = 1380(25) - 10(25)²

         = 34500 - 6250

         = 28250

Hence, an equation for revenue (r) as a function of (p) is R = 1380p - 10p²,

and R(25) = 28250.

To learn more about revenue click here:

brainly.com/question/28558536

#SPJ4

Answer:

The practice of using brass rings to stretch the neck, also known as neck elongation or neck stretching, is traditionally associated with the Padaung ethnic group from Myanmar (formerly known as Burma).

From a sociological perspective, the use of brass rings to stretch the neck can be seen as an example of deviance, which refers to behavior that violates social norms and expectations. Deviance can be either criminal or non-criminal, depending on the specific behavior in question and the cultural context in which it occurs.

In the case of Padaung women, the use of brass rings to elongate the neck is a form of non-criminal deviance, as it does not violate any laws. However, it does violate cultural norms and expectations in many other societies, where elongated necks are not seen as desirable or attractive.

Therefore, the practice of neck elongation among Padaung women can be seen as a form of cultural deviance, in which members of a particular group engage in behavior that is not considered acceptable or desirable by the larger society in which they live. At the same time, it can also be seen as an expression of cultural identity and tradition, as the practice has been passed down through generations and is an important part of Padaung culture and heritage.

Mary can water an area of approximately 78.5 square feet with the sprinkler.

To find the area that Mary can water with the sprinkler, we need to calculate the area of the circle. The formula for the area of a circle is:

Area = πr^2

Given that the diameter of the circle is 10 ft, we can calculate the radius (r) by dividing the diameter by 2:

r = 10 ft / 2 = 5 ft

Now we can substitute the radius into the formula to find the area:

Area = π(5 ft)^2

Using an approximation of π as 3.14, we can calculate:

Area = 3.14 × (5 ft)^2

Area = 3.14 × 25 ft^2

Area = 78.5 ft^2

Therefore, Mary can water an area of approximately 78.5 square feet with the sprinkler.

Your question is incomplete but most probably your full question attached below

Learn more about area at https://brainly.com/question/1206797

#SPJ11

Answer:

his average speed is 8

Step-by-step explanation:

Answer:

0<x<3 and 8<x<9

Step-by-step explanation:

Increasing intervals always relate to x-values. The increasing interval is from (0,3) and (8,9).

Answer:

f(-7) = 18

Step-by-step explanation:

Add AbS in calculator

or

2(-7) = -14 (AbS) -> 14

-4 -> (AbS) = 4

14+4 = 18

The value of Angle ADB, which is the angle created while moving from A to D to B. Angle ABM is the angle created while moving from point A to point B to point M is \(41^{0}\)

Due to the fact that angle ADB is an inscribed angle, its measure is halved compared to the angle of the arc that it intercepts. In other words, the angle is 40 degrees in length, which is equal to half of an 80 degree angle.

By adding up all of your balances at the end of each day for each eligible month, you may get your average daily balances (ADB) by dividing that amount by the number of days in that qualifying month.

3x - 16 = 9x + 4

4x = 20 x = 5 m

with BCE: 9 (5) + 4 = 49°

m with ADB = 41°

To learn more about intercepts refer to:

brainly.com/question/29512458

#SPJ1

Answer:

85.....?................