3x-5=45 what is the answer for x.

The eigenvalues of a are 2, 2, 5, then a is invertible matrix .

The eigenvalues are 2, 2, 5.

(A) First check the matrix is certainly invertible.

The matrix is invertible when the product of eigenvalues does not equal to zero.

invertible of A = 2*2*5

invertible of A = 20 ≠ zero.

So the matrix is certainly invertible.

(B) Now we check the matrix is certainly diagonalizable.

We note that the eigen value 2 has an algebraic multiplicity of 2 (number of repetitions), but we are unsure if the accompanying eigen vectors likewise have a count of two (geometric multiplicity)

The sum of the algebraic multiplicities must equal the sum of the geometric multiplicities in order for A to be diagonalizable.

In this instance, there is no evidence to support the geometric multiplicity of the eigenvalue 2. Therefore, we are unable to affirm that A is diagonalizable

So A can not be diagonalizable.

(C) Now we check the matrix is certainly not diagonalizable.

If the homogeneous equation from (A-⋋I)x=0 when the eigen value ⋋=2 is substituted x+y+z=0, then the solution set is x=-k-m where y=k, z=m are the parameters.

So it can be written as

\(\left[\begin{array}{ccc}x\\y\\z\end{array}\right] = k\left[\begin{array}{ccc}-1\\1\\0\end{array}\right] + m \left[\begin{array}{ccc}-1\\0\\1\end{array}\right]\)

Putting k=1 and m=1, then the corresponding eigen vectors for ⋋=2 are  

\(\left[\begin{array}{ccc}-1\\1\\0\end{array}\right] , \left[\begin{array}{ccc}-1\\0\\1\end{array}\right]\)

So the geometric multiplicity of the eigen value ⋋=2 is 2.

The algebraic multiplicity = Geometric multiplicity we can see the given matrix A is diagonalizable.

So the statement is false.

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Answer:

10√2 inches (second option)

Explanation:

visualise a square in your head. then, imagine a diagonal running through it. that diagonal would separate the square into two triangles. so to find the diagonal, we first need to find the length of the square (which would serve as the base and height of the triangle).

we can simply divide the perimeter by 4 to get the length of each side, which would then be 40 ÷ 4 = 10.

next, we can use the formula of the pythagorus theorum! it states that a² + b² = c², where a, b and c are represented by the following image:

for our equation, this would translate to 10² + 10² = c², and c would be the length of the diagonal.

100 + 100 = c²

200 = c²

in radical form, the square root of 200 would be 10√2. therefore, the length of the diagonal is 10√2 inches, which is the second option.

i hope this helps! :D

Answer:

Your friend's error is that having two equal discriminants doesn't necessarily mean that the two quadratic equations will have the same roots. The discriminant of a quadratic equation determines whether the roots are real, complex, or equal. If two quadratic equations have the same discriminant, then they have the same nature of roots, but that does not mean that their roots are equal.

As an example, consider the following two quadratic equations:

1. x^2 + 4x + 4 = 0

2. x^2 + 6x + 9 = 0

Both equations have the same discriminant: (b^2 - 4ac) = 16 - 16 = 0, but their roots are different. The first equation has one real root: x = -2, while the second equation has only one root, which is repeated twice: x = -3.

Therefore, it is incorrect to conclude that two quadratic equations have the same roots just because they have the same discriminants.

this website called cliffnotes

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Answer:

okay so I can complete this BY tommorow at 6:00pm Eastern Standard Time which is 7pm central time and 4AM mountain time. All of which is monday.  Sound good?

Step-by-step explanation:

ALSO. 4, 5, 6 are PAGES 4, 5, 6 or the second second page? the pages go 1, 2, 1, 2, 3, final. Or am I answering 2. D?

Answer: Yes

Step-by-step explanation:

Answer:353.4

Step-by-step explanation: V= 3.14 R2 H so  3.14 x 32 (2 is squared) x 12.5 = 353.42917

round to the nearest 10th which is 353.4

Explanation:

The graph of y = -3/5x + 9 is a straight line, so to graph the function we need to identify two points of the line.

Then, we can find two points if we give a value to the variable x and calculate the value of y as:

If x = 5 then:

y = (-3/5)x + 9

y = (-3/5)*5 + 9

y = -3 + 9

y = 6

If x = 10 then:

y = (-3/5)*10 + 9

y = -6 + 9

y = 3

Therefore, we have the points (5, 6) and (10, 3), so the graph of the line is:

A three-dimensional form's surface area is made up of the combined area of all of its faces.

The entire area of all the faces makes up the surface area of a three-dimensional form. We measure the area of each face and add them to determine the shape's surface area.

A 3D shape's volume is the interior area. An object's three-dimensional surface area is the sum of all of its faces. The formula Volume = length, width, and height is used to determine a cuboid's volume.

The volume of an object is the amount of three-dimensional space that the object or shape takes up.

A 3D object's surface area is the entire area that all of its faces cover. For instance, the surface area of a cube is its surface area if we need to determine how much paint is needed to paint it. It is consistently expressed in square units.

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Total surface area of given cuboid 126 ft², Total surface area of cube given 62.08 ft². Total volume of given cuboid 140 ft³ , Total Volume of given cube 62.20 ft³.

A three-dimensional form's surface area is made up of the combined area of all of its faces. To calculate the surface area of the shape, we measure the areas of each face and add them.

Volume is the internal space of a 3D form. The total number of faces on an object determines its three-dimensional surface area. The volume of a cuboid can be calculated using the formula Volume = length, width, and height.

The quantity of three-dimensional space that an object or form occupies is known as its volume.

The total area that all of a 3D object's faces enclose is referred to as surface area. If we need to figure out how much, for example, the surface area of a cube is its surface area.

1. Total surface area of cuboid = 2(lb + bh + hl)

= 2(8×5 + 4×5 + 8×4)

= 2(92)

= 184 ft³

Total surface area of hollow cuboid = 2(1×5 + 4×5 + 1×4) = 58 ft³

Total surface area of given cuboid = 184 - 58 = 126 ft²

Volume of cuboid = l × b × h = 8 × 5 × 4 = 160 ft³

Volume of hollow cuboid = 1 × 4 × 5 = 20 ft³

Total volume of given cuboid = 160 - 20 = 140 ft³

2. Total surface area of cube = 6a² = 6 × 5 × 5 = 150 ft²

Total surface area of hollow cylinder = 2πr(r + h)

= 2 × 3.14 × 2 (2 + 5) = 87.92 ft²

Total surface area of cube given  =  150  - 87.92 = 62.08 ft²

Volume of cube = a³ = 5³ = 125 ft³

Volume of hollow cylinder = 2πrh = 2 × 3.14 × 2 × 5 = 62.80 ft³

Total Volume of given cube = 125 - 62.80 = 62.20 ft³

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Answer:$3.25

Step-by-step explanation: 0.5 is half of 1 full pound so you would divide $6.50 by 2 to get $3.25.

Answer:

3.25. I'm pretty sure you just divide.

Larger sample sizes provide more accurate estimates of the population mean, even if the population is not normally distributed.

For a population that is not normally distributed, the distribution of the sample means will approach a normal distribution as the size of the sample increases.

This is known as the Central Limit Theorem, which states that as the sample size increases, the distribution of sample means becomes more normal regardless of the shape of the population distribution.

Therefore, larger sample sizes provide more accurate estimates of the population mean, even if the population is not normally distributed.

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Answer:

14°

Step-by-step explanation:

Supplementary angles add up to 180° so subtract 166 from 180.

(a)The expected profit of the winner of the auction (i.e. the second buyer) is his valuation of 20 euros minus the price he pays, which is 20 euros in this case. Therefore, his expected profit is 0 euros.

In an English auction, the bidding starts at 0 and the price is increased until only one bidder remains. In this case, there are two bidders with private valuations of 10 and 20 euros. Let's assume that the bidding starts at 0 and increases by 1 euro increments.

At a price of 10 euros, the first buyer will not drop out because his valuation is at least 10 euros. At a price of 11 euros, the second buyer will not drop out because his valuation is at least 11 euros. At a price of 12 euros, the first buyer will still not drop out because his valuation is at least 12 euros. At a price of 13 euros, the second buyer will still not drop out because his valuation is at least 13 euros.

This process continues until the price reaches 20 euros. At this point, the second buyer's valuation is exactly 20 euros, so he is indifferent between staying in the auction and dropping out. Therefore, the seller can expect to sell the object for 20 euros in this auction.

The buyer with the lower valuation (10 euros) will drop out when the price reaches 10 euros, since paying more than his valuation would result in a loss for him.

The expected profit of the winner of the auction (i.e. the second buyer) is his valuation of 20 euros minus the price he pays, which is 20 euros in this case. Therefore, his expected profit is 0 euros.

(b) In a Dutch auction, the price starts high and is gradually lowered until a buyer agrees to purchase the object. In this case, the private valuations of the bidders are 10 and 20 euros, and the auction starts at a price higher than 20 euros.

Since the second buyer's valuation is 20 euros, he will agree to purchase the object at a price of 20 euros or lower. Therefore, the expected revenue for the seller in a Dutch auction that starts at a price higher than 20 euros is 20 euros.

(c) If the bidders in the Dutch auction are risk averse, they may be less willing to bid aggressively, since they are more concerned about the possibility of overpaying. This may result in a lower final price for the object.

If the bidders in the English auction are risk averse, they may be more likely to drop out early, since they are more concerned about the possibility of overpaying. This may also result in a lower final price for the object.

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In the function, Three of the factors are (x + 1).

We have to given that,

The function for the graph is,

⇒ f (x) = x⁴ + x³ - 3x² - 5x - 2

Now, We can find the factor as,

⇒ f (x) = x⁴ + x³ - 3x² - 5x - 2

Plug x = - 1;

⇒ f (- 1) = (-1)⁴ + (-1)³ - 3(-1)² - 5(-1) - 2

⇒ f(- 1 ) = 1 - 1 - 3 + 5 - 2

⇒ f (- 1) = 0

Hence, One factor of function is,

⇒ x = - 1

⇒ ( x + 1)

(x + 1) ) x⁴ + x³ - 3x² - 5x - 2 ( x³ - 3x - 2

           x⁴ + x³

         -------------

                  - 3x² - 5x

                    - 3x² - 3x

                     ---------------

                             - 2x - 2

                              - 2x - 2

                             --------------

                                      0

Hence, We get;

x⁴ + x³ - 3x² - 5x - 2 = (x + 1) (x³ - 3x - 2)

                               = (x + 1) (x³ - 2x - x - 2)

                               = (x + 1) (x + 1) (x + 1) (x - 2)

Thus, Three of the factors are (x + 1).

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The regular polygon with an exterior angle measuring 120 will have 3 equal sides. Thus, an equilateral triangle have three equal sidea and angles is a regular polygon.

Regular polygon: A regular polygon is both "equiangular" and "equilateral," meaning it has all sides that are the same length and interior angles that are the same size.

The following algorithm determines an ordinary polygon's exterior angle:

Exterior Angle = \(360 Degrees / Sides\)

We can therefore make up an equation if the exterior angle measurement is \(120\) degrees:

\(120 = 360/n\) the number of sides being n

\(n (sides) = 360/120 = 3\)

Three sides \(=\) triangles are polygons with three sides.

An equilateral triangle is a regular three-sided polygon.

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Using translation concepts, it is found that the dotted graph is given by:

f(x - 1) - 4

------------------

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Answer:

Step-by-step explanation:

Let the integers be:

Their sum is 42:

The numbers are: 13, 14 and 15

My bad

the answer is 16

I'm going to refrain from answering area problems from now on. Deepest Apologies

Please refer to the graph below:

Answer:

Points: ( 2, 7 ), ( 0, 0 ), ( -2, -7 )

Hope this helps!

Step-by-step explanation:

False. The expected cell frequency in statistical analysis, specifically in the context of contingency tables and chi-square tests, is not based on the researcher's opinion. Instead, it is determined through mathematical calculations and statistical assumptions.

In contingency tables, the expected cell frequency refers to the expected number of observations that would fall into a particular cell if the null hypothesis of independence is true (i.e., if there is no relationship between the variables being studied). The expected cell frequency is calculated based on the marginal totals (row totals and column totals) and the overall sample size.

The expected cell frequency is computed using statistical formulas and is not influenced by the researcher's opinion or subjective judgment. It is a crucial component in determining whether the observed frequencies in the cells significantly deviate from what would be expected under the null hypothesis.

By comparing the observed cell frequencies with the expected cell frequencies, statistical tests like the chi-square test can assess the association or independence between categorical variables in a data set.

Thus, the statement "the expected cell frequency is based on the researcher's opinion" is false. The expected cell frequency is derived through statistical calculations and is not subject to the researcher's subjective input.

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The closest percent markup cost to the bracelets Anna sells is 181%.

To determine the percent markup cost for the bracelets Anna sells, we need to calculate the difference between the selling price and the cost price, and then express it as a percentage of the cost price.

The selling price of the bracelets is $45, and the cost price is $16.

Markup = Selling Price - Cost Price

= $45 - $16

= $29

Now, to calculate the percent markup cost, we divide the markup by the cost price and multiply by 100:

Percent Markup Cost = (Markup / Cost Price) \(\times\) 100

= ($29 / $16) \(\times\) 100

= 181.25

Rounded to the nearest whole number, the percent markup cost is approximately 181%.

Therefore, the closest percent markup cost to the bracelets Anna sells is 181%.

This means that Anna is charging customers approximately 181% more than what it cost her to make the bracelets.

The markup cost represents the additional amount she adds to cover expenses, overhead, and to make a profit.

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The correct answers are: The test is statistically significant. We have observed something unusual if the null hypothesis is true. The other statements are not necessarily true on the given p-value of 1.5%.

Based on the information provided, we can determine the following:

The test is statistically significant: A p-value of 1.5% indicates that the observed result is unlikely to have occurred by chance, given the null hypothesis.

We have observed something unusual if the null hypothesis is true: A small p-value suggests that the observed data is unlikely to be a result of random chance, which implies that the data is unusual if the null hypothesis is true.

The null hypothesis is not necessarily false: The p-value alone does not provide direct information about the truth or falsehood of the null hypothesis. It only indicates the level of evidence against the null hypothesis.

The alternative hypothesis is not necessarily true: Similarly, the p-value does not provide evidence for the alternative hypothesis being true. It only indicates the strength of evidence against the null hypothesis.

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Answer:

the correct one is y < 2x

Step-by-step explanation:

Answer:

y  2x + 1 or B

Step-by-step explanation:

thats whats right on edge

If the saving rate is 1, it means that an individual or an economy saves their entire income and spends nothing. This implies that the consumption rate is 0, and all income is being saved.

In this scenario, the investment rate is equal to the saving rate, as there is no consumption spending. Therefore, the economy is investing all of its income in capital goods and not in consumption goods. This approach may result in high economic growth in the future due to the increased production capacity of the economy. However, in the short term, it may lead to a decrease in consumer demand and a decrease in output and employment in sectors producing consumer goods.

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Answer:

To complete the square and rewrite the quadratic function y = x² + 7x + 3 in vertex form, we follow these steps:

Factor out the coefficient of x² from the first two terms:

y = 1(x² + 7x) + 3

Take half of the coefficient of x (which is 7 in this case) and square it. Add this value inside the parentheses, and subtract the same value multiplied by the coefficient of x² (which is 1) outside the parentheses to maintain the same value of the expression:

y = 1(x² + 7x + (7/2)² - (7/2)²) + 3

Simplify inside the parentheses by combining the first three terms using the square of the binomial formula (a + b)² = a² + 2ab + b²:

y = 1(x + 7/2)² - 1/4 + 3

Combine the constant terms to simplify:

y = 1(x + 7/2)² + 11/4

Therefore, the quadratic function y = x² + 7x + 3 can be written in vertex form as y = (x + 7/2)² + 11/4. The vertex is located at the point (-7/2, 11/4).

Hope This Helps!

Ladder diagrams are graphical representation techniques used to show how a particular control system operates, such as a mechanical process or a computer algorithm.

They are composed of two vertical lines that represent the power rails of the control circuit.

In this problem, the goal is to create a ladder diagram that will cause the output, alarm lamp ALRM 534, to be 0 N

when

(1) either the infeed conveyor CONV1541 is OFF or the outfeed conngo CONV1542 is OFF and

(2) the limit switch LS1535 is open and

(3) the proximity suid PS1536 is closed.

We'll do this issue for a SLC-500 plc.

Ladder diagram for SLC-500:

Firstly, since the alarm lamp is to be activated when the conditions are false, we will use a Normally Closed (NC) contact for each condition.

Next, draw the circuit for infeed conveyor CONV1541 OFF and the limit switch LS1535 is open.

Then, we'll add the other conditions, such as the outfeed conveyor CONV1542 OFF and the proximity switch PS1536 closed.

Finally, connect the alarm lamp ALRM1534 to the circuit to make it work when all of the specified conditions are met.

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Answer:

2x +20=40

=)2x=40-20

\( = )x \: = \frac{20}{2} \)

=) x =10

Answer:

10

Step-by-step explanation:

x2+20=40

20-40=x2

x2=20

20÷2=x

x=10

The statement "the t distribution is a family of similar probability distributions" is True.

The t-distribution is indeed a family of similar probability distributions. It is used in statistics to model the distribution of a random variable when the sample size is small and the population standard deviation is unknown. The shape of the t-distribution depends on the degrees of freedom, which is determined by the sample size. As the degrees of freedom increase, the t-distribution approaches the shape of the standard normal distribution.

The t-distribution is symmetric and bell-shaped like the normal distribution, but it has heavier tails, which means it has more probability in the tails and less in the center compared to the normal distribution. The t-distribution plays a crucial role in hypothesis testing and constructing confidence intervals when working with small samples.

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