what is the volume of the box?
A) 4 1/2 ft
B)72 ft
C)18 ft
D)1 1/8 ft

Answer:

first question : solve for m: multiply both sides by n

m/n=p

m*(n)/n=p*n

m= p*n

Step-by-step explanation:

to solve for m in the first part, you have to get rid of the extras next to m. in this case because m is divided by n, if we multiply both sides by n, both n on the m side will cancel out n/n=1 . this will leave m*1= n*p

because we can ignore the coefficient 1, the solution of ot will give you m=n*p

this also answers the question that's asked in the first place. in the first question, you have to multiply both sides by n in order to get the answer.

The domain of the function is defined as 0 ≤  x ≤ 4.

option A is the correct answer.

A domain of a function refers to "all the values" that can go into a function without resulting in undefined values.

So the domain of a function is the set of x values, while the range of a function is the set of y values.

From the given statement, the range of the function is defined as;

y = vt

where;

y = 60 mph x 4 hr

y = 240 miles

From the given statement, the domain of the function is defined as;

0 ≤  x ≤ 4

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Answer:

hhmmmmmhmmmm hmhmmmm hmmm yeah i got nothing

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

P(nectarine) = number of nectarines / total

                       =2/16

                        = 1/8

Answer:

Comme on a AI = 3 cm et AB = 5 cm, le coefficient de réduction AI / AB est égal à trois cinquièmes, c'est à dire 0,6 . L'aire de AIJ est égale à l'aire de ABC multipliée par k2 .

Step-by-step explanation:

Answer:

E. 9 times bigger

Step-by-step explanation:

Here's a made up example. Let's say that the radius of a circle is 5.

Circumference = 2πr

2π(5) = 31.42

Area = πr²

π(5)² = 78.54

If the circumference of a circle triples, that means that the radius also triples. So, the new radius is 15.

C = 2πr

C = 2π(15)

C = 94.26

A = πr²

A = π(15)²

A = 706.86

94.26 ÷ 31.42 = 3 ⇒ The circumference tripled.

706.86 ÷ 78.54 = 9 ⇒ The area is 9 times bigger.

Hope this helps. :)

The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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48 divided by 4

Step-by-step explanation:each freind gets 12 grapes

The nth harmonic number is defined as the sum of the reciprocals of the first n positive integers. We can calculate the nth harmonic number using the formula Hn=1+1/2+1/3+...+1/n.

Sure, I'll be glad to help you out!In mathematics, the nth harmonic number is defined as the sum of the reciprocals of the first n positive integers.

The nth harmonic number is defined to be:

$$H_n=1+\frac{1}{2}+\frac{1}{3}+\cdots+\frac{1}{n}$$

Now,  to understand the concept in detail.

For this purpose, let's consider an example:

If we want to find the 5th harmonic number, then we use the formula as shown below:

$$H_5=1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}$$

Simplifying the above expression we get:

$$H_5=\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}$$$$\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}=\frac{60}{60}+\frac{30}{60}+\frac{20}{60}+\frac{15}{60}+\frac{12}{60}$$$$

=\frac{137}{60}$$

Therefore, the 5th harmonic number is 2.2833.

Now, The nth harmonic number is defined as the sum of the reciprocals of the first n positive integers. We can calculate the nth harmonic number using the formula Hn=1+1/2+1/3+...+1/n.

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Answer:

Markup is $13.28

Selling price is $29.28

Step-by-step explanation:

Markup: $16 × .83 = $13.28

Selling price: $16 + $13.28 = $29.28

Answer:

$350,882.12

Step-by-step explanation:

P      $158950.00

R       4.83% INTERST RATE PER YERAY

T        25 YEARS  X 4.83%  = 158950  X .0483  = $191,932.12 is

          your interest .   Add interest to the price of the house and thats

          what you paid for the house after 25 years . $158,950.00

                                                                                   +$191,932.12

                                                                                   =$350,882.12

Answer:

Real-life problem:

A farmer has a rhombus-shaped field with a side length of 50 meters and a height of 30 meters. He wants to build a fence around the field to keep his cows from wandering off. If he plans to use wire fencing that costs $4 per meter, how much will he spend on fencing?

Solution:

To find the perimeter of the field, we need to calculate the length of each side. Since a rhombus has four equal sides, we can use the Pythagorean theorem to find the length of each side:

a^2 + b^2 = c^2

where a and b are the side lengths, and c is the diagonal.

Since the height of the rhombus is 30 meters and the side length is 50 meters, we can use these values to find the diagonal:

c^2 = 30^2 + 50^2

c^2 = 900 + 2500

c^2 = 3400

c = sqrt(3400)

c = 58.31 meters

Therefore, the perimeter of the field is 4 x 50 = 200 meters.

The farmer plans to use wire fencing that costs $4 per meter. So, the total cost of fencing will be:

Cost = perimeter x cost per meter

Cost = 200 x 4

Cost = $800

Answer:

The farmer will spend $800 on fencing the rhombus-shaped field.

The product of lower triangular matrices is lower triangular, and the product of upper triangular matrices is upper triangular. if a lower triangular matrix, upper triangular is invertible, then their inverse is lower triangular, upper triangular.

Let's consider the product of two lower triangular matrices. A lower triangular matrix has all its entries above the main diagonal equal to zero. When we multiply two lower triangular matrices, the entries in the resulting matrix will be the sum of products of corresponding elements from the original matrices. Since the original matrices have zeros above the main diagonal, the resulting matrix will also have zeros above the main diagonal, making it lower triangular.

Similarly, when we multiply two upper triangular matrices, the resulting matrix will have zeros below the main diagonal, maintaining the upper triangular form.

Now, let's consider the invertibility of lower and upper triangular matrices. If a lower triangular matrix is invertible, its inverse will be obtained by taking the inverse of each diagonal element. Since the inverse of a nonzero number is still nonzero, the inverse matrix will also have zeros above the main diagonal, preserving the lower triangular form. The same reasoning applies to upper triangular matrices, where the inverse will be upper triangular.

Therefore, the product of lower triangular matrices is lower triangular, and the product of upper triangular matrices is upper triangular. Additionally, the inverse of a lower (resp. upper) triangular matrix is lower (resp. upper) triangular if the matrix is invertible.

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Answer:

x=5

Step-by-step explanation:

set the first equation to 18. Then add 12 to both sides. Then divide by 6 by both sides. final answer is 5. Hope that helps!

The entering basic value is α and the leaving basic variable is x2.

Given that the formula for the line passing through the points (2, 4, 3) and (4, 2, 4) can be written as (2,4,3)+α[(4,2,4)−(2,4,3)] = (2,4,3)+α(2,−2,1), where 0 ≤ α ≤ 1 for just the line segment between these points. After augmenting with the slack variables x4, x5, x6, x7 for the respective functional constraints, this formula becomes (2,4,3,2,0,0,0) + α(2,−2,1,−2,2,0,0).We have to use this formula directly to answer each of the following questions and relate the algebra and geometry of the simplex method as it goes through one iteration in moving from (2,4,3) to (4,2,4). The questions are:(a) What is the entering basic variable?The entering basic variable is the variable that increases in the formula which in this case is α.(b) What is the leaving basic variable?The leaving basic variable is the variable that makes one of the original basic variables zero and takes its place as a basic variable in the new basic feasible solution. Here, the leaving basic variable is x2.(c) What is the new BF solution?The new basic feasible solution is found by replacing the entering basic variable α for the leaving basic variable x2 and then using Gaussian elimination to solve the linear system. Here is how it is done:At α = 0, we have the point (2,4,3,2,0,0,0).At α = 1, we have the point (4,2,4,0,2,0,0).Let α be the entering basic variable, then we can take x2 to leave the basis. Thus, at α = 0, we have (2,4,3,2,0,0,0) as the BFS and at α = 1, we have (4,2,4,0,2,0,0) as the next BFS.Then we need to use Gaussian elimination to solve the linear system. After Gaussian elimination, we get the new basic feasible solution as (10/3,4/3,0,0,2/3,0,0).Hence, the new BF solution is (10/3,4/3,0,0,2/3,0,0).Thus, the entering basic variable is α, the leaving basic variable is x2, and the new BF solution is (10/3,4/3,0,0,2/3,0,0).

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The equation that would help the mathematician model the surface area of a square piece of paper as it was repeatedly cut is \(y = 36 \times \frac{1}{2}^x\)

Option D is the correct answer.

We have,

In this equation, the variable x represents the number of times the square is cut in half, and y represents the surface area of the square.

As x increases, the exponent of 1/2 decreases, causing the value of y to decrease.

This exponential decay accurately represents the idea that the surface area becomes less and less but never reaches zero units²

Thus,

The equation that would help the mathematician model the surface area of a square piece of paper as it was repeatedly cut is \(y = 36 \times \frac{1}{2}^x\).

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The correct equation that would help model the surface area of a square piece of paper as it is repeatedly cut in half is:  \(\(y=36(\frac{1}{2})^x\)\)

As the square is cut in half, the side length of the square is divided by 2, resulting in the area being divided by \(\(2^2 = 4\)\).

Therefore, the equation \(y=36(\frac{1}{2})^x\)\)accurately represents the decreasing surface area of the square as it is repeatedly cut in half.

and, \(\(y=x^2+4x-16\)\)is a quadratic equation that does not represent the decreasing nature of the surface area.

and, \(\(y=-25x^2\)\) is a quadratic equation with a negative coefficient.

and, \(\(y=9(2)^x\)\)represents exponential growth rather than the decreasing nature of the surface area when the square is cut in half.

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Answer:

1. 90 degrees

2. 23 degrees

3. 67 degrees

4. 5 units

5. 12 units

90°

23°

67°

5 units

12 units

Answer:

\((3x)^2-18x5=47\\\)

x ≈ −1.14

Step-by-step explanation:

A baseball bat strikes a ball with an average force of 2.0 x 104 Newtons. if the bat stays in contact with the ball for a distance of 5.0 x 10-3 meter , then the kinetic energy will be 2× 10^2 J

kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.

In classical mechanics, the kinetic energy of a non-rotating object of mass m traveling at a speed v is 1/2 mv²

Favg= -1/2 MV2

Favg = -1 2 ( 5.0 x 10-3)^2

Favg = - 1/2 ×25 × 10 ^-6

Favg = 2× 10^2 J

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Answer:

ghjjj

Step-by-step explanation:

There are approximately 2425 of those intervals that will contain the population means.

A confidence interval is a range of values that includes a parameter estimate with a certain degree of certainty. A confidence interval is a measure of uncertainty about an estimation procedure, rather than a statement about a parameter. A confidence interval is a specific value or a range of values in statistics that is used to estimate population characteristics.

This is because a 97% confidence interval means that if we were to repeat the sampling process many times, about 97% of the resulting intervals would contain the population mean. In other words, we would expect 97% of the intervals to be "correct" in the long run, while about 3% of them would not contain the population mean.

Therefore, out of the 2500 intervals we compute, we would expect approximately 0.97 x 2500 = 2425 intervals to contain the population mean, and about 0.03 x 2500 = 75 intervals not to contain the population mean. However, it's important to note that the actual number of intervals that contain the population means may vary from this expected value due to random sampling variability.

Where, \(\[\bar{x}\]\) is the sample mean

\(\[\frac{s}{\sqrt{n}}\]\) is the standard error of the mean

zα/2 is the z-score that covers α/2 in the tails of a normal distribution.

As we draw 2500 samples of size 100 from a population and compute a 97% confidence interval for each sample, the proportion of the sample will contain the population means.

Therefore, the number of intervals that will contain the population mean is approximately 2425.

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So, 15 and 1 is the pair of numbers whose difference is 14, with the smallest product as 15.

To find the pair of numbers with the smallest product whose difference is 14, we can start by taking the two numbers to be as close to each other as possible. This means we can take one number to be 14 less than the other. For example, we can take the numbers to be 15 and 1. The difference between these two numbers is 14, and their product is 15, which is the smallest product possible for a pair of numbers whose difference is 14.

So, 15 and 1 is the pair of numbers whose difference is 14, with the smallest product as 15.

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Answer:

  Total Area = 110 m²

Step-by-step explanation:

To find the area of this composite shape, extend the top horizontal line to the right. That divides the figure into a right triangle (above the extended line) and a rectangle (below the extended line).

Name: triangle

Formula: A = 1/2bh

Values: b = 15 m -5 m = 10 m; h = 4 m

Area = 1/2(10 m)(4 m) = 20 m²

__

Name: rectangle

Formula: A = bh

Values: b = 15 m; h = 6 m

Area = (15 m)(6 m) = 90 m²

__

Total area = Shape 1 area + Shape 2 area

Total area = (20 m²) +(90 m²) = 110 m²

Answer:

Root square is a proper method

Step-by-step explanation:

√72 =+-(m+8)

and m+8>= 0<=>m>=-8

=>m= √72 -8

Answer: 4 bedrooms/3 bathrooms/2-car garage

Step-by-step explanation: just did it yw

The  probability of event A is P(A) = 1/4 or 0.25.

The formula to find P(A) for a series of simple events is:

P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)

For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:

- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.

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Answer:

a) 11.75 * 10^6

b) 1.35 * 10^-7

Step-by-step explanation:

Here, we want to find the sum and the difference

a) That would be;

(3.48 + 8.27) * 10^6

= 11.75 * 10^6

b) That would be;

(9.58-8.23) * 10^-7 = 1.35 * 10^-7