The area of a rectangle is modeled by the graph where y is the area (in square meters) and x is the width (in meters).

What dimensions result in the maximum area?

A rectangle_ meters by_ meters results in the maximum area.

The inequality is explained below.

Inequality is a statement of an order relationship between two numbers or algebraic expressions

In this vase, with a number line with two points opposite from each other on a number line, the middle of it is always going to be 0.  

Therefore, both points are the same distance away from 0 just in opposite directions.

That means point Q is always going to equal the negative of point P. An example of this is if point p equals 5, point p equals -5.

This method only works when it is specifically stated that the two points are opposite from each other.

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You have 48 napkins. You're planning on buying some packages of napkins at the store later. Each package contains 22 napkins. You've got to buy enough since you've need 290 napkins. How many packages of napkins will you buy? Let the amount of packaged napkins you'll buy be x.

Answer:

Joe would be paying $700 in 5 years time.

Step-by-step explanation:

Answer:

In 4 years Joe would have to pay $1,680 in simple interest.

Step-by-step explanation:

So first of all you want to start by finding what P, r and t would be.

P = Principal amount ($$)

r = interest rate (%)

t = time

Once I found all of those I put them into the equation (l = Prt) and solved. That is how I came up with my answer. Check the screenshot provided to see what P, r and t would be and to see all my work! :)

Have a great day!

Answer:

True

Step-by-step explanation:

29 + 40 = 33 + 36

69 = 69

This is true.

Answer: True

Step-by-step explanation:

Answer:

The blanks are both 8

Step-by-step explanation:

This is because of the distribution property. Since there is parenthesis, this means that the 8 is being distributed to both the 5 and -2.

Answer:

8 × (5 - 2) = (8 × 5) - (8 × 2)

I hope this helps!

Answer:

it is a straight line on the graph that either goes up or down or diagonolly and its rate of growth stays the same.

Answer:

chicken

Step-by-step explanation:

Answer:

Year 0 is represent the year that Gabe was born

Step-by-step explanation:

Gabe is mapping out important family events. He uses negative numbers to represent time before he was born and positive numbers to represent time after he was born. For example, Gabe's mom was given a special coin in year -20, and Gabe's sister was born in year 5. What does year 0 represent?

Answer: Positive numbers represent things that happen after Gabe was born while negative numbers represent things that happened before Gabe was born. The first example in the question meant that Gabe's mom was given a special coin 20 years before he was born while the second example in the question meant that Gabe's sister was born 5 years after he was born.

Year 0 is represent the year that Gabe was born.

Answer:

What’s the question?

Step-by-step explanation:

To solve a 3×3 augmented matrix use the method of elementary row operations.

What is a matrix?

A matrix is a rectangular array or table with numbers or other objects arranged in rows and columns. Matrices is the plural version of matrix. The number of columns and rows is unlimited. Matrix operations include addition, scalar multiplication, multiplication, transposition, and many others.

An augmented matrix for a system of equations is a matrix of numbers where each column contains all the coefficients for a single variable and each row represents the constants from one equation (both the coefficients and the constant on the other side of the equal sign).

The system of equations are - x - 2y + 3z = 7, 2x + y + z = 4, -3x + 2y -2z = -10

Here is the augmented matrix for this system.

\(\left[\begin{array}{rrr|r}1 & -2 & 3 & 7 \\2 & 1 & 1 & 4 \\-3 & 2 & -2 & -10\end{array}\right]\)

This matrix can be solved using the method of elementary row operations.

Interchange Two Rows. With this operation interchange all the entries in row  i and row j. The notation used here is Ri ↔ Rj.

\(\left[\begin{array}{rrr|r}1 & -2 & 3 & 7 \\2 & 1 & 1 & 4 \\-3 & 2 & -2 & -10\end{array}\right] \stackrel{R_1 \leftrightarrow R_3}{\rightarrow}\left[\begin{array}{rrr|r}-3 & 2 & -2 & -10 \\2 & 1 & 1 & 4 \\1 & -2 & 3 & 7\end{array}\right]\)

Multiply a Row by a Constant. In this operation multiply row i by a constant c and the notation will be cRi.

\(\left[\begin{array}{rrr|r}1 & -2 & 3 & 7 \\2 & 1 & 1 & 4 \\-3 & 2 & -2 & -10\end{array}\right] \stackrel{-4 R_3}{\rightarrow}\left[\begin{array}{rrr|r}1 & -2 & 3 & 7 \\2 & 1 & 1 & 4 \\12 & -8 & 8 & 40\end{array}\right]\)

Add a Multiple of a Row to Another Row.

Row i will be replaced in this procedure with row i times a constant c plus row j. Ri + cRi → Rj is the notation for this operation. This procedure involves taking an input from row i multiplying it by c, adding the equivalent value from row j, and then returning the result to row i.

\(\left[\begin{array}{rrr|r}1 & -2 & 3 & 7 \\2 & 1 & 1 & 4 \\-3 & 2 & -2 & -10\end{array}\right] \begin{gathered}R_3-4 R_1 \rightarrow R_3 \\\rightarrow\end{gathered}\left[\begin{array}{rrr|r}1 & -2 & 3 & 7 \\2 & 1 & 1 & 4 \\-7 & 10 & -14 & -38\end{array}\right]\)

Let’s go through the individual computation to make sure you followed this.

-3 - 4(1) = -7

2 - 4(-2) = 10

-2 - 4(3) = -14

-10 - 4(7) = -38

Therefore, the matrix is solved using row operations.

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Answer:

Volume = 8 x " x " x "

Step-by-step explanation:

First, let's define what volume means. Volume is how much space an object takes up. So, to find the volume of the cracker box, we need to figure out how much space it occupies.

The formula for the volume of a rectangular box is:

Volume = Length x Width x Height

But we only know the measurements for the width, height, and thickness of the box. We don't know the length, so we need to assume a value for the length. Let's say the length is "x" inches.

So, to find the volume of the cracker box, we can use this formula:

Volume = Length x Width x Height

Volume = x inches x " width x " height x " thickness

Now we can substitute the measurements we know into the formula:

Volume = x x " x " x "

This is the formula we can use to calculate the volume of the cracker box.

To find the actual volume of the cracker box, we need to know the length of the box. Joaquin's friend can measure the length and substitute that value for "x" in the formula to get the actual volume of the cracker box.

For example, if the length of the box is measured to be 8 inches, then the volume of the cracker box would be:

Volume = 8 x " x " x "

This means the cracker box takes up 12 cubic inches of space.

Answer:

1.) x = 3/2 y - 1 y =2/3 x + 2/3

Step-by-step explanation:

Answer:

(-1,16)

Step-by-step explanation:

You can use the elimination method...

Make 2x -3y = -2 negative by multiplying by -1.

Then add both equations together, since you made the first one negative, you were able to cancel out both 2x. You're left with 4y = 16.

Next divide by 4 on both sides ---> 4y/4 and 16/4 to get an answer to the Y- coordinate of 16. So since you have Y=16, you can just plug it in to one of the original equations and solve for X.

So then you end up with x as -1 and y as 16.

Option C: Less than \(\sqrt58\\\) inches but greater than 7 inches

Ramon wants to make an acute triangle with three pieces of wood. So far,

he has cut wood lengths of 7 inches and 3 inches.

What length must the longest side be in order for the triangle to be acute?

According to the property of triangle,

If the square of larger side of triangle is equating to the sum of square of smaller side.

If \(a^{2} < b^{2}+c^{2}\) the triangle is acute triangle.

where, 'a' is the larger side and 'b' ,'c' are the smaller side

According to the question, Let a =a , b = 7, c = 3

\(a^{2} < 7^{2}+3^{2}\\ a^{2} < 49+9\\ a < \sqrt58\)

Means to be acute triangle third side must be less than \(\sqrt58\) inches but greater than 7 inches.

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Answer:

less than 58 inches but greater than 7

Step-by-step explanation:

i got it right on edge

Answer:

              /   -  -  - - - - - - -- - -  -

            /                                     \

        /                                           \

      /                                                \  _________

   /

_/

To find the probability of getting 10 or more successes in a binomial experiment with p = 0.63 and n = 11 trials, we can use the cumulative probability function.

P(X ≥ 10) = 1 - P(X < 10)

Using a binomial probability formula, we can calculate the probability of getting exactly k successes:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where C(n, k) represents the binomial coefficient.

Let's calculate the probability for each value from 0 to 9 and subtract it from 1 to get the probability of 10 or more successes:

P(X < 10) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 9)

P(X < 10) = Σ[C(11, k) * p^k * (1 - p)^(11 - k)] for k = 0 to 9

Using this formula, we can calculate the probability:

P(X < 10) ≈ 0.121

Therefore, the probability of getting 10 or more successes in the binomial experiment is:

P(X ≥ 10) ≈ 1 - P(X < 10) ≈ 1 - 0.121 ≈ 0.879

Rounding to three decimal places, the probability is approximately 0.879.

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Answer:

21 inch cube

Step-by-step explanation:

(1/3)(1/3)(1/3)=1/27 is the volume of the cube

 the volume of the box : 567*(1/27)=567/27=21

Answer:

4/9 is closest to .44

Subsets with bit strings:

To find the subsets with bit strings:

We need to express a) b) and c) into bit strings.

Firstly, a number of elements in the universal set represent the number of bits in the bit string.

Secondly, 1 = yes element is present in both universal sets as well as in subset.

0 = No, the element is not present in the subset but present in the universal set.

Hence, we have:

a) Subset {3,4,5} = 0011100000  (As there are 3 1's which means only 3,4,5 are present in both universal set and subset.

Similarly,

b) Subset {1, 3, 6, 10} = 1010010001

c) Subset {2, 3, 4, 7, 8, 9} = 0111001110

Therefore, Subsets with bit strings:

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Complete question:

Suppose that the universal set is U={1,2,3,4,5,6,7,8,9,10}. Express each of the following subsets with bit strings (of length 10) where the ith bit (from left to right) is 1 if i is in the subset and zero otherwise.

a) {3, 4, 5}

b) {1, 3, 6, 10}

c) {2, 3, 4, 7, 8, 9}.

The root cause of the problem Michael is facing is that the sales volume of What's Happening? is steadily declining, which is reflected in the downward trend in the sales data.

This decline in sales volume is making it difficult for the newspaper to sell advertising space and maintain shelf space at supermarkets, and is leading to reduced revenue. Michael's use of a computerized system to collect sales data and make sales forecasts is not addressing this root cause.

The appropriate solution to the problem is for Michael to conduct a thorough analysis of the market and customer needs to identify why the sales volume is declining.

He could consider conducting surveys, focus groups, or other market research methods to gain insight into the needs and preferences of his target audience.

He could also explore new ways to reach his target audience and promote the newspaper, such as using social media or partnering with local businesses. Additionally, he may need to re-evaluate the content and format of the newspaper to make it more appealing to readers.

Once the problem is solved, Michael could use a variety of forecasting approaches to make sales forecasts. For example, he could use time-series analysis to forecast sales based on historical sales data and trends, or he could use regression analysis to identify the factors that influence sales and use them to make sales forecasts.

He could also use qualitative forecasting methods, such as expert opinion or market surveys, to supplement quantitative forecasting methods.

Ultimately, the choice of forecasting approach will depend on the availability of data and the specific needs of the business. Michael should evaluate the accuracy and reliability of each method before deciding which one to use.

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Answer:

4

Step-by-step explanation:

Given that :

Total fraction of paint Carin has = 2/3 bottle

Fraction used to paint a model airplane = 1/6

Number of model. Airplanes 2/3 of a bottle could paint ;

Total fraction of paint / fraction used to paint a model airplane

(2/3) ÷ (1/6)

2/3 * 6/1

= 12 / 3

= 4 model airplanes

We can use the normal distribution to determine the value that is larger than roughly 55% of the population. So the value that is closest to the value larger than roughly 55% of the population is 89.24.

We can use a standard normal distribution table or a calculator to find that the z-score is approximately -0.1257.

z = (x - μ) / σ

where x is the raw score, μ is the mean, and σ is the standard deviation.

x = z * σ + μ

x = (-0.1257) * 6 + 90

x ≈ 89.24

So the value that is closest to the value larger than roughly 55% of the population is 89.24.

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Answer:

your mom

i dunno what else to put here lol

Answer:

Total area of four walls is 450ft

Step-by-step explanation:

First to find area of one wall is lenghth times height 2(12 x 9)

Second to find the area of the two other walls it’s height times width 2(13 x 9)

third add then up and you get 450

Using algebraic expressions and equations to solve this problem, a 19- inch piece of steel is cut into three pieces measuring 2 inches, 4 inches, and 13 inches.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

If the second piece is twice as long as the first piece, we can write this as an algebraic expression "2x" where x is the length of the first piece.

If the third piece is three inches more than five times the length of the first piece, we can write this as an algebraic expression "3 + 5x" where x is the length of the first piece.

If the three pieces were cut from a single piece of steel 19-inches long, we can write the equation for the sum using the algebraic expressions.

let x = length of first piece

2x = length of second piece

3 + 5x = length of third piece

x + 2x + 3 + 5x = 19 inches

Solving for x,

8x = 19 -3

8x = 16

x = 2 inches

length of first piece = 2 inches

Substitute the value of x in the expressions for the second and third piece.

length of second piece = 2x

length of second piece = 2(2)

length of second piece = 4 inches

length of third piece = 3 + 5x

length of third piece = 3 + 5(2)

length of third piece = 3 + 10

length of third piece = 13 inches

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Answer:

are you supposed to be asking a question?

Answer:

There are 4 terms

Step-by-step explanation:

“Terms are single numbers, variables, or the product of a number and variables. Examples of terms: 9 a 9a 9a. y y y.”

Answer: y = 1.2x + 2

Step-by-step explanation:

slope = (8 - 2)/(5 - 0) = 6/5

y-intercept = (0, 2)

y = (6/5)x + 2

y = 1.2x + 2

Answer:

zxc

Step-by-step explanation:

xzcsdcasc

Answer:

x=3

Step-by-step explanation:

−4x+1+9x=−9x+16+9x

5x+1=16

Step 2: Subtract 1 from both sides.

5x+1−1=16−1

5x=15

Step 3: Divide both sides by 5.

5x/5 =15/5

x=3

The change in rate of length of shadow is 2.692 ft/sec.

Given,

Height of tall person =7 ft

Height of tall lamp post = 20 ft

Rate at which tall person walks = 5 ft/sec

Let,

Distance between tall person and lamp post be x ft

the length of shadow be y ft

From similar triangles,

\(\frac{x+y}{20}=\frac{y}{7}\\\\7(x+y)=20y\\\\7x+7y=20y\\\\13y=7x\\\\y=\frac{7x}{13}\)

Differentiating on both sides with respect to time 't'

\(\frac{dy}{dt}=\frac{7}{13}\frac{dx}{dt}\)

here, \(\frac{dx}{dt}\) is nothing but the change in distance between tall person and lamppost it means rate at which tall person walks=5 ft/sec

\(\frac{dy}{dt}=\frac{7}{13}*5\\\\\frac{dy}{dt}=\frac{35}{13}=2.692\ ft/sec\)

Thus, the change in rate of length of shadow is 2.692 ft/sec.

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Answer:

63 degrees

Step-by-step explanation:

However, assuming there is a statement that involves the variable x, it would perform some operation or assign a value to x based on the specific syntax of the statement.

Without the statement provided, it is impossible to give a specific answer. Assuming the variable x has been the initialized to an integer value (e.g., x = 3), the following statement will perform an operation or action using the value of x. This could include mathematical operations, comparisons, or use within a loop or conditional statement. Without knowing the specific statement, I cannot provide a more detailed explanation of its function.

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Answer:

(3x+21)(x-5)

Step-by-step explanation:

To solve this let's create an equation that has intercepts at -7 and 5

To do this we get the following

(x+7)(x-5)

Now we need to make sure that the line passes through (4,-33) To do so we will plug in 4 to see how far off we are

If you plug in 4 into x you should get -11

To make y= -33 we simply need to put a three in the front and then distribute it to the first bracket

So we have

3(x+7)(x-5)

then distribute the 3 to get

(3x+21)(x-5)

I doubled checked this answer on desmos and my math is correct