Suppose the only solution of AX=B is the zero matrix (A is nxn and B is nx1). Then the RREF of A|B is I|C where the sum of the entries of C is ____ ?

Answer:

D) Add 1 to both sides of the equation

Step-by-step explanation:

-11n - 1 = 87

-11n = 87 + 1

Answer:

The answer is B

Step-by-step explanation:

Answer: its B i did the quiz lol

Step-by-step explanation:

Answer:

b. 4m+5

Step-by-step explanation:

Answer:

Step-by-step explanation:

(b − 7)(b + 3). SOLUTION: 4. (4n + 3)(n + 9). SOLUTION: 5. (8h − 1)(2h − 3) ... (m. 2. − 5m + 4)(m. 2. + 7m − 3). SOLUTION: 28. (x. 2. + 5x − 1)(5x. 2. − 6x + 1) ... The value of x must be greater than 4. If x = 4 ... c. SYMBOLIC For a sum of the form a + b, write an expression for the square of the sum. ... Then, for five days,.

It is because the moon revolves around Earth.

Hope it helps you...

New Mexico is the correct option with coordinates (-2.5,-1).

To find the midpoint between two points in the Cartesian plane, you can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x₁, y₁) and (x₂, y₂) are given by:

Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2).

Here's a step-by-step process to find the midpoint:

1. Identify the coordinates of the two points you want to find the midpoint between. Let's say the coordinates are (x₁, y₁) and (x₂, y₂).

2. Add the x-coordinates of the two points together: x = x₁ + x₂.

3. Divide the sum by 2 to find the x-coordinate of the midpoint: x = x / 2.

4. Add the y-coordinates of the two points together: y = y₁ + y₂.

5. Divide the sum by 2 to find the y-coordinate of the midpoint: y = y / 2.

6. The coordinates (x, y) obtained from steps 3 and 5 represent the midpoint between the two given points.

In the given questions, we need to find the mid-point of Fairfield(-10,1) & Montgomery, Alabama(5,-3).

Let the point be N, N = ((-10 + 5) / 2, (1 + (-3)) / 2).

N = (-2.5,-1)

Therefore, From the given options ,the point where we stop is New Mexico marked at (-2.5,-1).

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Preventive medicine services are primarily based on documentation of history, physical examination, and medical decision making.

The correct answer is A) Documentation of history, physical examination, and medical decision making. Preventive medicine services focus on preventing or identifying potential health issues before they become more serious. To determine the appropriate preventive measures, healthcare professionals assess various factors. Among these, documentation of the patient's medical history is crucial to understand their individual health risks and needs.

Physical examination allows for a comprehensive assessment of the patient's current health status, identifying any existing conditions or potential areas of concern. Medical decision making refers to the process by which healthcare providers use the gathered information to determine appropriate preventive measures and interventions. Factors like the patient's age, time spent with the patient, and the final diagnosis may be relevant to specific aspects of healthcare but are not the primary criteria for preventive medicine services.

The focus lies on comprehensive documentation and medical decision making to promote and maintain optimal health.

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The matrix norm for an n x n real matrix B is  ||B||M = max{|Bij|}

First, we will prove that ||B||M ≤ max{|Bij|}. Let's assume k is the index that achieves the maximum value, i.e., max{|Bij|} = |Bkj|. Consider the vector x = (0, 0, ..., 0, 1, 0, ..., 0)T, where the 1 is in the k-th position. Then, ||x||2 = 1. Now, let's calculate ||Bx||M:

||Bx||M = sup{||Bx||2 : ||x||2 = 1}

= sup{√((Bx)T(Bx)) : ||x||2 = 1}

= sup{√(xTBTBx) : ||x||2 = 1}

= sup{√(xTBTBx) : ||x||2 = 1, xk = 1}

≤ √((BTB)kk) (using the fact that xTBTBx is a scalar and sup{scalar} = scalar)

= √(|Bkj|²)

= |Bkj|

= max{|Bij|}

Therefore, we have shown that ||B||M ≤ max{|Bij|}.

Now, let's prove the reverse inequality: max{|Bij|} ≤ ||B||M. Consider the vector x = (x1, x2, ..., xn)T, where xi = 1 for the index i that achieves the maximum absolute value of Bij, and xi = 0 for all other indices. Then, ||x||2 = 1. Now, let's calculate ||Bx||M:

||Bx||M = sup{||Bx||2 : ||x||2 = 1}

= sup{√((Bx)T(Bx)) : ||x||2 = 1}

= sup{√(xTBTBx) : ||x||2 = 1}

= sup{√(xTBTBx) : ||x||2 = 1, xi = 1 for some i}

≥ √((BTB)ii) (using the fact that xTBTBx is a scalar and sup{scalar} = scalar)

= sqrt(|Bij|²)

= |Bij|

= max{|Bij|}

Therefore, we have shown that max{|Bij|} ≤ ||B||M.

Combining both inequalities, we conclude that ||B||M = max{|Bij|}.

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Answer:

I could be any number.

But it couldn't just be a 'b' it could be other letters. The letters is just a grown up way of saying a missing number. Its like saying:

10+b=11..

11-b=10..

therefore b=1

Does that make sense

It can also mean in the quadratic formula b

Step-by-step explanation:

In algebra, the variable "b" represents an unknown or variable number.

It is used to denote a quantity that can vary or take on different values. The purpose of using variables in algebraic equations is to generalize mathematical relationships and solve problems with unknown quantities. By assigning the letter "b" to a variable, we can manipulate and solve equations using algebraic operations, such as addition, subtraction, multiplication, and division.

The value of "b" can be determined through various methods, such as solving equations, simplifying expressions, or applying mathematical principles. The flexibility of variables like "b" allows us to solve a wide range of problems and analyze mathematical relationships without relying on specific numerical values.

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Answer:

If rounded to the nearest tenth of a cubic foot, would be: 927587.2

Step-by-step explanation:

The equation of finding the equation of the volume of a sphere is "4π[tex]\frac{radius^{3} }{3}[/tex]"

If values are inserted in for radius as 60.5, the answer will be 927587.2 when rounded to the nearest tenths.

Hope this helps!

Answer:

1. −51,−41,−38,13,41,50

2. $140 each pair of shoes costs $20 (80 divided by 4). 20 times 7 is 140

3. 5x +6y+1

4. 5+15(n) or using instead of using n for hours use h so, 5+15(h)

5. cylinder

Answer/Step-by-step explanation:

-51, -41, -38, 13, 41, 50

140

5x + 6y + 1

5 + 15h

Cube.

Answer:

Sales tax: $52.74

■ Cost/Price before ST: $878.99

■ Total Cost/Price including ST: $931.73

Step-by-step explanation:

Step-by-step explanation:

f(3)= -2*3^2 +3 -5

= -2*9 +3 -5

= 16

Answer: the answer is A !!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

After paying off the mortgage, Frank will have accrued interest costs of $111,000 in total. $111,000 is the correct response.

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. [tex]A = P(1 + r/n)^{nt[/tex], where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.

The total amount paid by Frank over 30 years will be the product of the monthly payment and the number of months in 30 years:

The total amount paid = Monthly payment × Number of months

Total amount paid = $700/month × 12 months/year × 30 years

Total amount paid = $252,000

However, this total amount includes both the principal (the original loan amount of $141,000) and the interest. To find the amount of interest paid, we need to subtract the principal from the total amount:

Interest paid = Total amount paid - Principal

Interest paid = $252,000 - $141,000

Interest paid = $111,000

Therefore, Frank will have paid $111,000 in interest once he has paid off the mortgage. The answer is A. $111,000.

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Answer:

2000 meters

Step-by-step explanation:

400×5=2000

Answer:

90

Step-by-step explanation:

Answer:

90 degrees

Step-by-step explanation:

Step One: In order to solve this problem, you need to know that all angles in a triangle add up to 180 degrees.

Step Two: Now that we know that information, we need to add the angles we do know together: 34+56= 90 degrees.

Step Three: We subtract 90 from 180 to figure out the missing angles: 180-90= 90 degrees.

The monthly payment for a salary loan of 70,000 pesos at a 10% annual interest rate compounded monthly for 18 months is approximately 4,530.79 pesos.

To calculate the monthly payment for the salary loan, we can use the formula for the equal payment amount in an amortizing loan:

Payment = (Principal * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-n))

Where:

Principal = 70,000 pesos (loan amount)

Monthly Interest Rate = Annual Interest Rate / 12 = 10% / 12 = 0.0083333

n = number of payments (18 months)

Let's calculate the payment amount:

Payment = (70,000 * 0.0083333) / (1 - (1 + 0.0083333)^(-18))

Payment = 4,530.79 pesos

Therefore, the monthly payment for the salary loan is approximately 4,530.79 pesos.

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Answer:

hope this helpss

Step-by-step explanation:

Answer:

Step-by-step explanation:

if you have to simplify it then distribute -2

x²-2(x+5)=x²-2x-10

if problem is as mentioned by other answerer,then

[tex]\frac{d}{dx} (x^2-2(x+5))=-2\\x^2-2x-10= \int (-2dx)+c\\x^2-2x-10=-2x+c\\x^2=c+10\\x=\pm \sqrt{c+10}[/tex]

Answer:

12

Step-by-step explanation:

put the numbers in least to greatest. so that would be 0,0,1,1,1,1,2,3,3,6,7,8, then find the one or two. in this case it is two. the medians in the one in the middle

Answer:

x = 76°

Step-by-step explanation:

76° and x are alternative interior angles, so they are congruent when lines a and b are parallel

Answer:

A. 60 + x = 90

Step-by-step explanation:

Complementary angles add up to 90 degrees so

60 + x = 90

Answer:

The answer is A: 60 + x = 90

Step-by-step explanation:

Complimentary angles are two angles that add up to 90, so the equation 60 + x = 90 is what you need to use to find the complimentary angle. I hope this helps :)

WX is perpendicular to XY, W is congruent to X, W is supplementary to X, WXYZ is a rhombus, and WX is parallel to YZ and this can be determined by using the properties of a square.

A quadrilateral is a polygon with four sides four angles and four vertices. Whenever we name a quadrilateral, we need to keep in mind the order of the vertices.

Given that, WXYZ is square.

The properties of a square are given below:

All sides are equal in length.

The two consecutive sides are perpendicular.

Opposite sides are parallel to each other.

All the interior angles are 90 degrees.

The diagonals bisect one another.

The area of the square whose sides are 'a' is .

The perimeter of the square whose sides are 'a' is 4a.

Diagonal are equal.

Therefore, the correct statements about the square WXYZ are A), B), C), D), and F).

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im not smart enough lol

(i) the polar coordinates of the point are (6, π/6).

(ii) the polar coordinates of the point are (-6, π/6).

The Cartesian coordinates of the point are given as (3√3, 3). We need to find the polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π and also where r < 0 and 0 ≤ θ < 2π.

To find the polar coordinates (r, θ) of the point, we use the following formulas:

r = √(x² + y²)

θ = tan⁻¹(y/x)

where x and y are the Cartesian coordinates of the point.

(i). For r > 0 and 0 ≤ θ < 2π, we have:

x = 3√3

y = 3

Using the above formulas, we get:

r = √((3√3)² + 3²) = √(27 + 9) = √36 = 6

θ = tan⁻¹(3/3√3) = tan⁻¹(1/√3) = π/6

Therefore, the polar coordinates of the point are (6, π/6).

b. For r < 0 and 0 ≤ θ < 2π, we have:

x = 3√3

y = 3

Using the above formulas, we get:

r = -√((3√3)² + 3²) = -√(27 + 9) = -√36 = -6

θ = tan⁻¹(3/3√3) = tan⁻¹(1/√3) = π/6

Therefore, the polar coordinates of the point are (-6, π/6).

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Given question is incomplete the complete question is incomplete

The Cartesian Coordinates Of A Point Are Given.

(3√3,3)

(i) Find Polar Coordinates (r, θ) Of The Point, Where r>0 And 0≤θ<2π.

(ii) Find Polar Coordinates (r, θ) Of The Point, Where r<0 And 0≤θ<2π.

Answer:

The minimize size that can be taken is - 31.28 or 31 .

Step-by-step explanation:

Lets calculate -

    Population standard deviation, [tex]\sigma=3.4 inches[/tex]

    Margin of error, E = 1

    Critical value , [tex]z_0_._0_5 =1.645[/tex]

Now , the size of the sample , [tex]n=(\frac{z\times \sigma}{E} )^2[/tex]

   Putting the given values ,

                    [tex]=(\frac{1.645\times 3.4}{1})^2[/tex]

                  = 31.28 or 31 .

The given table of the question has been attached here .

Hence , the answer is 31.

Answer:

It's 3[tex]x^{2}[/tex]/86

hope this helps:)

Your answer for this question is B

The average rate of change of f(x) is less than average rate of change of g(x). Then the correct option is C.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function f(x) is given in the table, then the rate of change of the function f(x) will be

Rate of change of f(x) = (-2 + 4.5) / (-2 + 3)

Rate of change of f(x) = 2.5

If function g is a quadratic function that contains the points (-3,5) and (0,14).

Then the rate of change of the function g(x) will be

Rate of change of g(x) = (14 - 5) / (0 + 3)

Rate of change of g(x) = 9/3

Rate of change of g(x) = 3

Thus, the average rate of change of f(x) is less than average rate of change of g(x).

Then the correct option is C.

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