determine whether the given matrix a is diagonalizable where possible find a matrix p such that p-1ap=d

Answer:

∠ LHJ = 55°

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, sum to 180° , so

∠ LHJ + ∠ KLH = 180° , that is

∠ LHJ + 125° = 180° ( subtract 125° from both sides )

∠ LHJ = 55°

Answer:

  -12 1/10

Step-by-step explanation:

(11/4)(-4 2/5) = (11/4)(-4) +(11/4)(-2/5) = -11 -22/20 = -12 2/20

  = -12 1/10

By applying the Least Common Multiple theory, it can be concluded that Philip has to buy 2 packs of pencils and 3 packs of erasers.

Least Common Multiple (LCM) of two or more numbers is the smallest positive integer that could be divided by those numbers.

The simplest way to find the LCM of two or more numbers is to list the multiples of each number.

Then, check the smallest multiple that appears in all of the multiple lists. This value is the LCM of those numbers.

From the question, we know that Philip wants to have the same number of pencils as erasers. Whilst they come in different packages. To do so, firstly we list the multiples of each package.

Pencil: 18 : 18, 36, 54, 72, 90, ...

Eraser: 12 : 12, 24, 36, 48, 60, ...

Now we check the smallest multiple that appears in all of the multiple lists, the LCM is 36.

36 pencils means 36 : 18 = 2 packs of pencils

36 erasers means 36 : 12 = 3 packs of erasers

Thus, Philip has to buy 2 packs of pencils and 3 packs of erasers

To learn more about Least Common Multiple, click here: https://brainly.com/question/28109219

#SPJ4

Answer:

0, 1, and 2

This is the answer

The net worth of Delilah given the assets and liabilities will be $24197.

From the information given, Delilah has assets that total $56,326 and liabilities that total $32,129.

It should be noted that the formula to calculate the net worth will be:

= Assets - Liabilities

= $56,326 - $32,129

= $24197

The net worth is $24197.

Learn more about liabilities on:

brainly.com/question/14921529

#SPJ1

The dual of the linear problem is

Min 4y₁ + 10y₂

Subject to:

6y₁ + 5y₂ - y₃ ≥ 4

3y₁ + y₂ - y₄ ≥ 3

From the question, we have the following parameters that can be used in our computation:

Max 4x₁ + 3x₂

Subject to:

6x₁ + 3x₂ ≤ 4

5x₁ + x₂ ≤ 10

x₁, x₂ ≥ 0

Convert to equations using additional variables, we have

Max 4x₁ + 3x₂

Subject to:

6x₁ + 3x₂ + s₁ = 4

5x₁ + x₂ + s₁ = 10

- x₁ ≤ 0

- x₂ ≤ 0

Take the inverse of the expressions using 4 and 10 as the objective function

So, we have

Min 4y₁ + 10y₂

Subject to:

6y₁ + 5y₂ - y₃ ≥ 4

3y₁ + y₂ - y₄ ≥ 3

Learn more about linear programming here

brainly.com/question/14309521

#SPJ4

Answer:

OK

Step-by-step explanation:

Answer:

A. 3x = 15

or, x = 15/3

or, x = 5

B. 3x = 2x-1

or, 3x-2x = -1

or, x = -1

C. 3x+15 = 2x-1

or, 3x-2x = -1-15

or, x = -16

D. 3x = 15+(2x-1)

or, 3x = 15+ 2x-1

or, 3x-2x = 14

or, x = 14

Rachel has 0.41 quarters that can be obtained using the equation Q + D + N = T.

We can start by using the following equation to find the number of quarters Rachel has: Q + D + N = T

Where Q is the number of quarters, D is the number of dimes, N is the number of nickels, and T is the total amount of money in dollars. We know that T is $4.65, and we know that Rachel has twice as many nickels as quarters, and three more quarters than dimes.

Let's assume that Rachel has x number of quarters

So we can write the above equation as:

x + (x+3) + 2x = 4.65

4x+3 = 4.65

4x = 1.65

x = 0.4125

Rachel has 0.4125 quarters, Which is not possible as it is a decimal. So we need to round it off to the nearest whole number.

Rachel has 0.4125 quarters which is equivalent to o.41 quarters.

Therefore, Rachel has 0.41 quarters that can be obtained using the equation Q + D + N = T.

To learn more about equations,

Visit; brainly.com/question/29657983

#SPJ4

The given equation is \(R = mQ²³.\)

We are given that 2 = 0.

Hence, the equation becomes \(R = mQ²³ + 2.\)

Solving for Q:Given \(R = mQ²³ + 2.\)

We need to find Q. This is a non-linear equation. Let's solve it step by step.Rearrange the given equation as follows:\(mQ²³ = R - 2Q²³ = R/m - 2/m\)

Take the 23rd root of both sides, we get:\(Q = (R/m - 2/m)^(1/23)Q > 0\) implies that

R/m > 2. If R/m ≤ 2, then there are no real solutions because the right-hand side becomes negative. Therefore, our final answer is:\(Q = (R/m - 2/m)^(1/23), if R/m > 2.\)

To know more about non-linear visit:

https://brainly.com/question/26139696

#SPJ11

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

To learn more about derivative visit:

https://brainly.com/question/30403647

#SPJ4

Answer:

4. x = 7.5

5. x = 17.9

6. x = 18.4

Step-by-step explanation:

4. Cos(60) = x/15

x = 15*Cos(60)

x = 7.5

5. Tan(50) = x/15

x = 15*Tan(50)

x = 17.9

6. Cos(57) = 10/x

x = 10/Cos(57)

x = 18.4

Answer:

4. 7.5

5. 17.9

6. 18.4

Step-by-step explanation:

remember that you need to use SOH CAH and TOA to find these.

sin = opposite/ hypotenuse

cos = adjacent / hypotenuse

tangent = opposite / adjacent

to find angles you would choose either to use sin, cos, or tan with the two sides that they give you and you would solve with an inverse tangent

to find the side lengths, find the inverse of the formula that you used to find the angle

for example: your first problem would look like this

you have the sides of the hypotenuse and you need to find that adjacent side so this would be a cos function

60 (which is the angle) = cos^-1  [x / 15] x is the adjacent and 15 is the hypotenuse

then you start to isolate x so you do cosine to  both sides and multiply by 15

15 [cos(60)]

plug this into your calculator and TA DA

hope this helps :)

Answer:

dont have options but the cube root of 27 is 3.

Hope this helps plz hit the crown :D

Answer: c

Step-by-step explanation:

The dimensions of the rectangle are 32 feet by 24 feet. The perimeter of a rectangle is equal to 2 times the sum of its length and width. So, if half the perimeter of a rectangle is 56 feet, the full perimeter would be 2 * 56 = 112 feet.

Let's call the length of the rectangle "L." Then, the width would be "W". From the problem; we know that W = L - 8.

Using this information, we can write the equation for the full perimeter:

2L + 2W = 112

2L + 2(L - 8) = 112

2L + 2L - 16 = 112

4L = 128

L = 32

So, the length of the rectangle is 32 feet. The width can be found by using the equation W = L - 8:

W = 32 - 8

W = 24

Therefore, the dimensions of the rectangle are 32 feet by 24 feet.

To learn more about perimeter of rectangle, visit here

https://brainly.com/question/29595517

#SPJ4

For the normally distribution data the percentage of the students scored above 74 is equal to 34.13%

Scores are normally distributed with a mean score = 80

and a standard deviation = 6.

To determine the percentage of students who scored above 74 on the test,

Use the properties of the normal distribution.

Calculate the z-score for the value of 74

and then find the area under the normal curve corresponding to the z-score.

The z-score can be calculated using the formula,

z = (x - μ) / σ

where x is the value of interest 74 in this case,

μ is the mean 80,

and σ is the standard deviation 6.

Calculating the z-score,

⇒z = (74 - 80) / 6

⇒z = -1

Now, find the area under the normal curve to the right of the z-score of -1.

This represents the percentage of students who scored above 74.

Using a standard normal distribution table,

Attached table.

find that the area to the right of a z-score of -1 is approximately 0.3413.

This means that approximately 34.13% of the students scored above 74 on the test.

Therefore, the percentage of students using normal distribution who scored above 74 is approximately 34.13%.

Learn more about normal distribution here

brainly.com/question/4504904

#SPJ4

Answer:

  f(-3) = -20

Step-by-step explanation:

We observe that the given x-values are 3 units apart, and that the x-value we're concerned with is also 3 units from the first of those given. So, a simple way to work this is to consider the sequence for x = 6, 3, 0, -3. The corresponding sequence of f(x) values is ...

  34, 10, -8, ?

The first differences of these numbers are ...

  10 -34 = -24

  -8 -10 = -18

And the second difference is ...

  -18 -(-24) = 6

For a quadratic function, second differences are constant. This means the next first-difference will be ...

  ? -(-8) = -18 +6

  ? = -12 -8 = -20

The value of the function at x=-3 is -20.

_____

The attachment shows using a graphing calculator to do a quadratic regression on the given points. The graph can then be used to find the point of interest. There are algebraic ways to do this, too, but they are somewhat more complicated than the 5 addition/subtraction operations we needed to find the solution. (Had the required x-value been different, we might have chosen a different approach.)

Number 3: C

Number 4: C

The VAT for the year is Birr 75,600.

The pharmacy makes 42,000 Birr in monthly sales, as stated in the problem.

We must divide the monthly sales by the number of months in a year in order to determine the overall annual sales:

Total annual sales are calculated as follows: Birr 42,000 multiplied by 12 months to equal Birr 504,000.

Now that we have the VAT rate that is in effect in the area where the pharmacy is located, we can calculate the VAT (Value Added Tax). The VAT is often calculated as a share of sales.

Assuming a 15% VAT rate, the VAT can be calculated as follows:

VAT = 15% of total annual sales, which equals 0.15 times Birr 504,000 ($75,600).

Therefore, the VAT for the entire year is 75,600 Birr.

Learn more about VAT , here:

https://brainly.com/question/31341634

#SPJ4

Answer:

y = 2x + 8

Step-by-step explanation:

Recall that two parallel lines have the same slope.

Thus, if we begin with y = 2x - 4, we know that this new line through (-1, 6) will also have slope 2.

Starting from the slope-intercept form y = mx + b, we substitute 2 for m, -1 for x and 6 for y:

6 = 2(-1) + b

and solve for the new y-intercept, b:

6 = -2 + b, or

b = 8

Then the new line has the equation y = 2x + 8

There were 3,200 bacteria present.

A colony of bacteria grown under ideal conditions in a laboratory so that the population increases exponentially with time. At the end of 3 hours, there are 10,000 bacteria. At the end of 5 hours, there are 62,500 bacteria.

The exponential growth of a population of bacteria is given by the formula:N = Noert,

where N is the final population size, No is the initial population size, r is the growth rate, and t is the time in hours.

The growth rate : r = (ln N - ln No) / t

Using the given data, we can write two equations in two unknowns (No and r):10,000 = Noer3100 = Noer5

Dividing the second equation by the first equation gives: 100/62.5 = e^(r*2)

Taking the natural logarithm of both sides gives:ln(100/62.5) = r*2r = ln(100/62.5) / 2r = 0.0995

Using the growth rate r, we can solve for the initial population No using either of the two original equations:No = 10,000 / e^(r*3)No = 10,000 / e^(0.0995*3)No = 3,200 bacteria

To know more about laboratory visit:

https://brainly.com/question/30753305

#SPJ11

Let's begin by identifying key information given to us:

A is a 3 x 2 matrix

B is a 2 x 3 matrix

AB is the product of 3 x 2 matrix & 2 x 3 matrix. We obtain a 3 x 3 matrix

Therefore, the size of the product of A & B (that is AB) is a 3 x 3 matrix whenever these products exist

a = The cost of the pizza.

b = The cost of the pizza and sales tax.

f(a) = The cost of the pizza.

g(b) = The cost of the pizza and sales tax.

g(f(a)) = The cost of the pizza, sales tax, and delivery fee

Step-by-step explanation:

perimeter = 2* ( length + width)

Length = 4 + Width = 4+x

Equation is,

2* (4+x+x) = 48

2* (4+2x) = 48

4+2x = 48/2 = 24

4+2x=24

2x = 24-4 = 20

2x = 20

x = 10

Answer:

y=7

Step-by-step explanation:

set 2y+1 to equal 4y-13

subtract 1 from both sides of the equation to get 2y = 4y-14

subtract 4y from both sides to get -2y = -14

divide both sides by -2 to get

y=7

Answer:

28

Step-by-step explanation:

(3)×3 - 2×(-2)×(1) + 5×(3)×(1)

9 - -4 + 15 = 28

Answer:

46

Step-by-step explanation:

Given

a³ - 2bc + 5ac ← substitute values for a, b, c into the expression

= 3³ - (2 × - 2 × 1) + (5 × 3 × 1)

= 27 - (- 4) + 15

= 27 + 4 + 15

= 46

Answer:

the equation y= ax represents direct variation between x and y is said to vary directly with x. the nonzero constant a is called the constant of variation.

Step-by-step explanation:

I'm not sure if that's what you were asking for but there .

brainiest please.

The expression ********** can be represented as 3333333333 in base four, 4444444444 in base five, and 7777777777 in base eight, according to the respective numerical systems.

a) In base four, each digit can have values from 0 to 3. The symbol "*" represents the value 3. Therefore, when we have ten "*", we can express it as 3333333333 in base four.

b) In base five, each digit can have values from 0 to 4. The symbol "*" represents the value 4. Hence, when we have ten "*", we can represent it as 4444444444 in base five.

c) In base eight, each digit can have values from 0 to 7. The symbol "*" represents the value 7. Thus, when we have ten "*", we can denote it as 7777777777 in base eight.

To know more about expression, visit:

https://brainly.com/question/28170201#

#SPJ11