plese help me with this work​

A matrix consisting entirely of zeros is called a zero matrix, or an all-zero matrix.

It is denoted with the symbol O and can be written in a matrix form, such as O = [0 0 0 0] where the number of columns and rows depends on the size of the matrix. A zero matrix is a matrix which has all its elements equal to zero. It has a number of special properties that make it useful in linear algebra. For instance, the sum of any two zero matrices is a zero matrix, and any scalar multiple of a zero matrix is a zero matrix. Additionally, the product of two zero matrices is a zero matrix, and the product of a zero matrix and an identity matrix is a zero matrix. These properties make it useful in solving systems of linear equations where all the coefficients are zero. Finally, the inverse of a zero matrix does not exist since its determinant is zero.

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Answer:

3.5

Step-by-step explanation:

3.5 + 3.5 = 7

No, it is not possible to have a triangle with 3cm 5cm 8cm because the total of the triangle's two sides, 3 cm and 5 cm, is not greater than the third side, 8 cm.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Given,

Sides 3cm, 5cm and 8 cm

Three sides are provided, measuring 3 cm, 5 cm, and 8 cm. We are aware that the third side is always greater than the sum of any two triangle sides. The triangle cannot exist because the total of the triangle's two sides, 3 cm and 5 cm, is not greater than the third side, 8 cm.

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Answer:

x-9

Step-by-step explanation:

HOPE THIS HELP -_-

The linear model for the SUV value is y = -$4,100x + $23,300.The model does not take into account the market conditions.The value of an SUV can fluctuate depending on supply and demand.

To find the linear model for the SUV value, we can use Desmos. We first represent the year of the vehicle new from the manufacturer as x = 0. Then, we type the data in the first entry line in Desmos. In this case, the data is (0, 23300) and (2, 12500).

Next, we type the equation y1 mx1 + b in the second entry line. Desmos will then calculate the values of m and b for us. In this case, m = -4100 and b = 23300. Therefore, the linear model for the SUV value is y = -4100x + 23300.

This equation tells us that the value of the SUV decreases by $4,100 per year. So, if the SUV is worth $23,300 new, it will be worth $19,200 after one year, $15,100 after two years, and so on.

It is important to note that this is just a linear model. The actual value of the SUV may vary depending on a number of factors, such as the condition of the SUV, the mileage, and the market conditions.

Here are some additional things to consider when using the linear model:

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Answer:

20.25-923

Step-by-step explanation:

20.25-923

912+11=923

Best describe a parallelogram with diagonals that are perpendicular is rectangle.

A parallelogram with diagonals that are perpendicular is called a rectangle. A rectangle is a special type of parallelogram that has four right angles. This means that the diagonals of a rectangle are perpendicular to each other, and they bisect each other.

In addition to having perpendicular diagonals, a rectangle has other unique properties. Its opposite sides are congruent and parallel, and all angles are right angles. The diagonals of a rectangle have the same length, and they divide the rectangle into four congruent right triangles.

The properties of a rectangle make it a useful shape for many practical applications. For example, rectangular shapes are commonly used in building construction, furniture design, and graphic design. The perpendicular diagonals of a rectangle also make it useful for geometric proofs and calculations.a

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True, to calculate the average of numeric values in the list, the first step is to get the total of values in the list.

Steps to calculate the Average:

Let’s assume there are 4 numbers having values of 2,8,22,48 respectively.

To find the average we first have to take the total of all values.

2+8+22+48=80.

Our next step will be to divide this total by the number we have in our question i.e., 4.

so, our average will be 80/4= 20.

So, 20 will be our average.

So yes, it is true that to calculate the average of numeric values in the list, the first step is to get the total of all values in the list.

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Answer:

The paper tray is not deep enough.

Step-by-step explanation:

500 * 9 * 10^-3

= 500 * 0.009

= 4.5 cm which is greater than the depth of the paper tray (4 cm).

The paper tray is not enough for sheets of paper.

The thickness of 500 sheets of paper is 45 cm.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

One sheet of paper is \(9\) × \(10^{-3}\) to the power of -3 to cm thick.

Mark wants to put 500 sheets of paper into the paper tray of his printer.

The thickness of 500 sheets of paper is

 \(9\) × \(10^{-3}\) × 500 = 45 cm

But the paper tray is 4cm deep

45 cm > 4 cm

So the paper tray is not enough for sheets of paper.

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The correct big picture conclusion is: There is not sufficient evidence to show that the mean reading speed is different than 82 wpm.

Based on the statistical decision made in the previous question, where there is not enough evidence to reject the null hypothesis, we conclude that there is not sufficient evidence to show that the mean reading speed is different than 82 words per minute (wpm).

In other words, the data does not provide strong support for the claim that the mean reading speed is significantly different from 82 wpm.

This conclusion is drawn from the statistical analysis conducted, which likely involved hypothesis testing or confidence interval estimation.

The decision is based on the level of significance chosen and the p-value or confidence interval obtained from the analysis. In this case, the results do not support the alternative hypothesis that the mean reading speed is different from 82 wpm.

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Answer: Here, m angle KEF = 80 Degrees

For the given equation which shows the relation of temperature in Celsius and Fahrenheit, the correct option is Option D.

What is meant by temperature?

Indicating the direction in which heat energy will naturally flow from a hotter body (one with a higher temperature) to a colder body(one at a lower temperature), the temperature is a measure of hotness or coldness defined in terms of any of several arbitrary scales.

The given equation is:

\(C = \frac{5}{9} (F- 32)\)

where C = temperature in Celsius

          F = temperature in Fahrenheit

The above equation can be rewritten as:

C = 5/9F - 160/9

Now, this is an equation of a straight line with a formula,

y = mx + c

Comparing,

m = 5/9 which is the slope of the equation.

This means that for a temperature increase of 1 degree Fahrenheit, the equivalent increase in temperature in Celsius is 5/9.

So the option I is true.

Similarly, an increase in 1 degree Celsius of temperature is equivalent to 9/5 = 1.8 degree increase in Fahrenheit.

So option II is true.

Option III is not true as is discussed above.

Therefore for the given equation of temperature, the correct option is Option D.

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Answer:

D

Step-by-step explanation:

I have nothing else to say- lol

Answer:

Option B 540 is the amswer

Answer:

75.39 in^2 (round to the nearest hundreds)

Step-by-step explanation:

I think that we have to find the lateral area

circumference = 2 x radius x pi = 2 x 4 x pi = 25,13 in^2 (round to the nearest hundreds)

lateral surface = (circumference x slant height)/2 = (25,13 x 6)/2 = 75,39 in^2 (round to the nearest hundreds)

Answer:y=-9x+3

Step-by-step explanation:

In a y=mx+b equation (slope intercept form) like this one m is the slope and b is the y intercept.

The expression that demonstrates the use of the commutative property is

(-1 + 18) + (3i + 5i)

Give two integers A and B, according to the commutative law of addition;

Given the expression (-1+3i) + (18+5i)

The expression that demonstrates the use of the commutative property of addition in the first step of simplifying the expression is given as:

(-1+3i) + (18+5i)

-1 + 3i + 18 + 5i

(-1 + 18) + (3i + 5i)

We can see that the rearrangement does not affect the sum. Hence the expression that demonstrates the use of the commutative property is

(-1 + 18) + (3i + 5i)

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James has 60 cars

john has 20 cars

this statement implies that James has 3 times has the number of cars jokhn hax

= 60/ 20

= 3

The probability of picking a sample that is from group B, and type Rh+ is

Part A:

Given that the selection are made with replacement, the probability that the 2 selected subjects are both group B and type Rh+ is

Rounding our answer to four decimal place, the probability is 0.0138.

Part B:

If without replacement is made within the selection, the probability is changed so that

Rounding to answer to four decimal place, the probability is 0.0132

In the context of analyzing the relationship between studying time and test grades, the domain of the scatterplot would be the number of minutes the students studied (option D).

The domain refers to the set of possible inputs or variables in a given context. In this case, the scatterplot is being created based on the relationship between the time students spent studying and their corresponding test grades. Therefore, the domain in this context would be the number of minutes the students studied (option D).

The domain represents the independent variable, which is the variable that is controlled or manipulated in the analysis. In this scenario, the math teacher wants to analyze the relationship between studying time and test grades, so the number of minutes studied would be the independent variable. The teacher surveys the students to collect data on the time spent studying, and this variable becomes the domain of the scatterplot.

The range, on the other hand, represents the dependent variable, which is the variable that is measured or observed as an outcome or response. In this case, the dependent variable would be the students' test grades. The scatterplot will show how the test grades correspond to the amount of time students studied.

To summarize, in the context of analyzing the relationship between studying time and test grades, the domain of the scatterplot would be the number of minutes the students studied (option D).

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Answer:

y=6x-5

Step-by-step explanation:

The standered form for the equation of a liner line is y=mx+b where m=the slope and b= the y intercept.

First you need to find the slope which is the change in y over the change in x. The change in the y values (7 and -5) is -12 and the change in the x values (2 and 0) is -2. So the slope is -12/-2 which can be simplified to -6/-1 or 6.

Now that you have the slope you just need the y-intercept. Pick one of the two points from the problem and input that into the x and y values and solve for b. For example 7=6(2)-b where 6(2)=12 and you can then subtract 12 from each side to isolate be and end up with b=-5.

In your final answer, x and y remain as variables to get y=6x-5.

The ages of people who own their homes are normally distributed with a mean of 42 and a standard deviation of 3.2. To find the age at which 75% of the home owners are older than this age, we can use the standard normal distribution table to find the z-score, which is approximately 0.674. The correct option is 44.2, as 75% of the home owners are older than 44.2.

Suppose ages of people who own their homes are normally distributed with a mean of 42 years and a standard deviation of 3.2 years. We need to find the age at which 75% of the home owners are older than this age.How to find the age?We can use the standard normal distribution table. The standard normal distribution is a normal distribution with a mean of 0 and standard deviation of 1. Using this table, we can find the z-score which corresponds to the area to the left of a particular value.Suppose z is the z-score such that the area to the left of z is 0.75. This means that 75% of the distribution is to the left of z. We can use this z-score to find the age at which 75% of the home owners are older than this age.What is the formula for z-score?The formula for finding the z-score for a value x in a normal distribution with mean μ and standard deviation σ is as follows

\(:$$z=\frac{x-\mu}{\sigma}$$\)

We can rearrange this formula to find the value of x. Here's how:$$x=\sigma z + \mu$$

Now, let's find the z-score which corresponds to the area to the left of 0.75. Using a standard normal distribution table

we can find that this z-score is approximately 0.674.Using the above formula, we can find the age x at which 75% of the home owners are older than this age. We know that μ = 42 and σ = 3.2. Therefore, we have:$$x = 3.2 \times 0.674 + 42 = 44.16$$

Therefore, approximately 75% of the home owners are older than 44.16. So, the correct option is 44.2.Approximately 75% of the home owners are older than 44.2.

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The average speed during her drive that morning would be 43.5 miles/hr.

What is Average Speed?

Calculating average speed involves dividing the whole distance traveled by the total time it took to cover that distance.

Explanation:

Time = 24 min = 0.4 hr

Entire way = 0.6 + 15.4 + 1.4

                  = 17.4 miles

\(Average \ speed = \frac{Distance}{Time}\\\\Average \ speed = \frac{17.4}{0.4} \\\\Average \ speed = 43.5 miles/hr\)

Hence, The average speed during her drive that morning would be 43.5 miles/hr.

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Answer:

6x²+11x

Step-by-step explanation:

1. Group like terms

\(8x^2-2x^2+3x+8x-10+10\)

2. Add like terms

\(6x^2+3x+8x-10+10\)

3. Add the numbers

\(6x^2+11x\)

Answer:

\(\textsf{A)} \quad f(x) =x^3-3x^2-25x-21\)

\(\textsf{B)} \quad g(x)=\dfrac{(x-7)(x+3)}{x-2}\)

    Slant asymptote:  y = x - 2

C)  Removable discontinuity at x = -1  ⇒  (-1, ¹⁶/₃)

     Infinite discontinuity at x = 2

Step-by-step explanation:

Factor Theorem

If f(x) is a polynomial, and f(a) = 0, then (x – a)  is a factor of f(x).

Therefore, if the polynomial f(x) has the given zeros of 7, -1 and -3 then:

\(f(x) = (x - 7)(x + 1)(x + 3)\)

Expanded:

\(\implies f(x) = (x - 7)(x + 1)(x + 3)\)

\(\implies f(x) = (x - 7)(x^2+4x+3)\)

\(\implies f(x) = x(x^2+4x+3) - 7(x^2+4x+3)\)

\(\implies f(x) =x^3+4x^2+3x - 7x^2-28x-21\)

\(\implies f(x) =x^3-3x^2-25x-21\)

Factor \(x^2-x-2\) :

\(\implies x^2-2x+x-2\)

\(\implies x(x-2)+1(x-2)\)

\(\implies (x+1)(x-2)\)

Therefore:

\(\begin{aligned}\implies g(x) & = \dfrac{f(x)}{x^2-x-2}\\\\ & = \dfrac{x^3-3x^2-25x-21}{x^2-x-2}\\\\& = \dfrac{(x-7)(x+1)(x+3)}{(x+1)(x-2)}\\\\& = \dfrac{(x-7)(x+3)}{x-2}\end{aligned}\)

A slant asymptote occurs when the degree of the numerator polynomial is greater than the degree of the denominator polynomial.

To find the slant asymptote, divide the numerator by the denominator.

\(\large \begin{array}{r}x-2\phantom{)}\\x-2{\overline{\smash{\big)}\,x^2-4x-21\phantom{)}}}\\\underline{-~\phantom{(}(x^2-2x)\phantom{-b)))}}\\0-2x-21\phantom{)}\\\underline{-~\phantom{()}(-2x+4)\phantom{)}}\\-25\phantom{)}\\\end{array}\)

Therefore, the slant asymptote is y = x - 2.

Discontinuous function:  A function that is not continuous.

Removable Discontinuity (holes):  When a rational function has a factor with an x that is in both the numerator and the denominator.

Jump Discontinuity:  The function jumps from one point to another along the curve of the function, often splitting the curve into two separate sections.

Infinite Discontinuity:  When a function has a vertical asymptote (a line that the curve gets infinitely close to, but never touches).

Therefore, the discontinuities of function g(x) are:

Main Answer:

c₁ = 2, c₂ = 4, a₁ = 6, a₂ = 0, b₁ = 0, b₂ = 0.

Explanation:

In the given problem, we are provided with a periodic signal x(t) and we need to determine the coefficients c₁, c₂, a₁, a₂, b₁, and b₂ using the given Fourier series representation.

Step 1: Find c₁ and c₂:

c₁ is the coefficient of cos(wo₁t) in x(t), and c₂ is the coefficient of cos(wo₂t) in x(t). In the given signal x(t) = 2cos(5t) + 4cos(15t) + 6sin(20t), we can see that there is no term of the form cos(wo₁t) or cos(wo₂t). Therefore, c₁ and c₂ both equal 0.

Step 2: Find a₁ and a₂:

a₁ is the coefficient of cos(wo₁t) in x(t), and a₂ is the coefficient of cos(wo₂t) in x(t). We can calculate these coefficients using the formula:

an = (2/T) * ∫[0 to T] x(t) * cos(nwot) dt

For the given signal x(t) = 2cos(5t) + 4cos(15t) + 6sin(20t), we have:

a₁ = (2/1) * ∫[0 to 1] (2cos(5t) + 4cos(15t) + 6sin(20t)) * cos(wo₁t) dt

  = (2/1) * ∫[0 to 1] (2cos(5t)) * cos(wo₁t) dt

  = (2/1) * ∫[0 to 1] (2cos(5t)) * cos(5t) dt

  = (2/1) * ∫[0 to 1] (2cos²(5t)) dt

  = (2/1) * [∫[0 to 1] cos²(5t) dt]

  = (2/1) * [∫[0 to 1] (1 + cos(10t))/2 dt]

  = (2/1) * [(t/2) + (sin(10t))/(20)] (evaluated from 0 to 1)

  = 1/2 + sin(10)/(10)

Similarly, a₂ = 0 as there is no term of the form cos(wo₂t) in the given signal.

Step 3: Find b₁ and b₂:

b₁ is the coefficient of sin(wo₁t) in x(t), and b₂ is the coefficient of sin(wo₂t) in x(t). We can calculate these coefficients using the formula:

bn = (2/T) * ∫[0 to T] x(t) * sin(nwot) dt

For the given signal x(t) = 2cos(5t) + 4cos(15t) + 6sin(20t), we have:

b₁ = (2/1) * ∫[0 to 1] (2cos(5t) + 4cos(15t) + 6sin(20t)) * sin(wo₁t) dt

  = (2/1) * ∫[0 to 1] (6sin(20t)) * sin(5t) dt

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Check the picture below.

so the area of it, is really the area of a 16x16 square and four triangles with a base of 16 and a height of 15.

\(\stackrel{ \textit{\LARGE Areas}}{\stackrel{ square }{(16)(16)}~~ + ~~\stackrel{ \textit{four triangles} }{4\left[\cfrac{1}{2}(16)(15) \right]}}\implies 256~~ + ~~480\implies \text{\LARGE 736}~cm^2\)

The center of a normal curve is the mean of the distribution, making option C the right choice.

A normal distribution—also known as the bell curve or De Moivre distribution—occurs naturally in a variety of circumstances. Bell curve symmetry is present. The data will split in two, falling half to the left and half to the right of the mean.

The characteristics of a normal curve are as follows:

Thus, the center of a normal curve is the mean of the distribution, making option C the right choice.

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Answer:

120

Step-by-step explanation:

So 10% of a number (let's use n) is 30.

The key word "of" tells us we need to multiply. Therefore, 10% times n is 30:

\(10\%(n)=30\)

10% is the same as 0.1. So:

\(0.1n=30\)

Divide both sides by 0.1:

\(n=300\)

So, our number is 300.

To find 40% of 300, multiply 0.4 and 300. Thus:

\(.4(300)=120\)

Our answer is 120.

And we're done!

Answer:

120

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Let H = the possible outcomes that include flipping heads

Let T = the possible outcomes that include flipping tails

In order to have an outcome of two coins having tails, that means for each outcome, you must have at least two T's.

Therefore, the possible outcomes are:

(H, T, T)

(T, H, T)

(T, T, H)

(T, T, T)

This is 4 possible outcomes, and since we want to find the probability we find the total number of outcomes and make a fraction.

\(4/8 = 1/2\)

There are 8 outcomes, and since 4 work for this scenario, the answer is 1/2.

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