Help pls help NOW! 35 points.

The given matrices are checked and their status is mentioned in the following list below :a. Reduced echelon form [100 010 000 -10-100] b. Not in echelon form [ -8000 -4200 -8110 -9101 -8130] c. Reduce echelon form [11 10 -4 -10] d. Echelon form [ 100 001 000 -502] Echelon form and reduced echelon form of matrices

The Matrix A is in the reduced echelon form if and only if the following conditions are satisfied:All rows having 0s are at the bottom of the matrix.There must be no 0 rows in the matrix.In each row of the matrix containing the leading nonzero element, all entries above and below the leading entry are 0.

The leading coefficient of a nonzero row is always strictly to the right of the leading coefficient of the row above it.In each column containing a leading coefficient, all other entries are zero.

For a matrix to be in echelon form, it must fulfill the following conditions : All rows containing all zero elements are located at the bottom of the matrix. All leading coefficients in any nonzero row are always strictly to the right of the leading coefficient in the row above it.

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Answer:

11" x 16"

Step-by-step explanation:

This problem can be solved with an equation

If you translate the first words into an equation, you get:

l = 2w - 6

(where w is width and l is length)

The perimeter (p) of any rectangle is 2l + 2w, so

if p = 54

then 54 = 2l + 2w

Now, you have the following two equations:

l = 2w - 6

2l + 2w = 54

In order to solve this for w, you can replace the l in the equation with (2w - 6) because of the substitution property of equality (if a = b, then a can be replaced with b at any time), so you get:

54 = 2(2w - 6) + 2w

Now, you simplify:

54 = 2(2w - 6) + 2w

= 54 = 4w - 12 + 2w

= 54 = 6w - 12

= 66 = 6w

= w = 11

So the width is 11. In order to find the length you just need to substitute it into the equation for the perimeter:

2l + 2(11) = 54

= 2l + 22 = 54

= 2l = 32

= l = 16

In conclusion, the width is 11 and the length is 16.

Answer:

OMG HI

Step-by-step explanation:

It's been a while... how's life

Answer:

26

Step-by-step explanation:

cosθ = adjacent / hypotenuse

cos(26) = 18 / x

x= 18 / cos(26)

x= 27.82418 ≈ 20 (to nearest tenth)

Answer:

x ≈ 20

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos26° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{18}{x}\) ( multiply both sides by x )

x × cos26° = 18 ( divide both sides by cos26° )

x = \(\frac{18}{cos26}\) ≈ 20.0 ( to the nearest tenth )

Answer:

a. 10^12

b. 10^5

c. 10^17

d. 10^6

e. 10^17

f. 10^18

Step-by-step explanation:

just add the exponents together and keep the base

Answer:

Median = 42
LQ = 33
UQ = 52

Step-by-step explanation:

median is given by the term that divides the groups in two equally quantities. In this case is (n+1)/2 = (13+1)/2 = 14/2 = 7

the 7th term is: 42
(notice this means 6 values are below 42 and 6 values are above 42, the definition of a median)

the first (lower) quartile is given then by the (n+1)/4 value

(13+1)/4=3.5, this is the half between 3th and 4th terms.

since the term is the same (3th value is 33 and 4th value is 33)

LQ=33
(25% of the values are below 33)

for the upper quartile the value represents the top 75%, this is given by

3(13+1)/4 = 10.5

this is the half between 10th and 11th terms

(51+53)/2=52

(25% of the values are above 52)

Answer:

1/2

Step-by-step explanation:

1/2 is bigger then 1/3 and 1/4.

If there are 6 students and one is selected for best student and another is selected for runner up, then 15 different ways that we can arrange the students

Total number of students in the class = 6 students

Number of students for best student = 1 student

Number of students for runner up = 1 students

Total number of students needed = 2

Here we have to use the combination

6\(C_2\) = 6! / 2!(6 - 2)!

= 6! / 2! × 4!

Split the terms and cancel it

= 6 × 5 / 2 × 1

Multiply the terms

= 30 / 2

Divide the numbers

= 15 combinations

Therefore, there are 15 combinations

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Answer:

multiply the exponent

Step-by-step explanation:

Answer:

Step-by-step explanation:

Example of Power-to-Power Rule: When we have 1 base and 2 exponents, we MULTIPLY THE EXPONENETS  

(M^9)^4 =M^ (9×4) =M^36

Answer:

Step-by-step explanation:

The line y = 2x + c

has a slope of 2.  Any new line parallel to this one must also have a slope of 2.

Correct choices include the first one alone.  None of the others are correct.  

From the given option the required equation parallel to the function is y = 2x + 9

The standard equation of a line is y = mx + c

Given the equation y = 2x + c

Ths lope of the line is 2

Hence the equation parallel to the equation must have a slope of 2. From the given option the required equation parallel to the function is y = 2x + 9

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According to the question in order to raise $75 for charity, 75 pom poms must be sold.

Charity is an act of kindness and generosity towards those in need. It is a selfless act that is done without expecting anything in return. It can take many forms, such as donating money, volunteering time, giving food or clothing, providing emotional support, or helping those in need in any way possible. Charity is often seen as an important part of religious practice, which encourages people to give back to their communities and to those less fortunate. Charity is a powerful tool that can create positive social change, improve lives, and even help build bridges of understanding between people. It is an act that can bring hope and joy to those who are struggling and in need of help.

Each pom pom costs $1, so the booster club must sell 75 pom poms to raise $75 for charity. This is because for every $1 from the sale of a pom pom, $1 will be donated to charity. Thus, in order to raise $75 for charity, 75 pom poms must be sold.

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The equation z² = 4 + 3i yields two complex roots in polar form: z₁ = 5(cos(0.6435) + isin(0.6435)) and z₂ = 5(cos(-0.6435) + isin(-0.6435)). Their complex conjugates are z₁* = 5(cos(0.6435) - isin(0.6435)) and z₂* = 5(cos(-0.6435) - isin(-0.6435)).



To solve the equation z² = a + 3i, we first substitute the value of a = X^5 + 1. Let's assume X^5 = 3, so a = 3 + 1 = 4. Now the equation becomes z² = 4 + 3i.     (a) To find the complex roots in polar form, we can rewrite z as z = r(cosθ + isinθ). Substituting this into the equation and equating the real and imaginary parts, we get two equations: r²(cos(2θ) + isin(2θ)) = 4 + 3i. By comparing the real and imaginary parts, we find that r² = √(4² + 3²) = √25 = 5, and θ = atan(3/4) ≈ 0.6435 radians. So the complex roots in polar form are z₁ = 5(cos(0.6435) + isin(0.6435)) and z₂ = 5(cos(-0.6435) + isin(-0.6435)).

(b) The complex conjugate of a complex number z = a + bi is given by z* = a - bi. Therefore, the complex conjugates of the roots are z₁* = 5(cos(0.6435) - isin(0.6435)) and z₂* = 5(cos(-0.6435) - isin(-0.6435)), in Cartesian form.



 Therefore , The equation z² = 4 + 3i yields two complex roots in polar form: z₁ = 5(cos(0.6435) + isin(0.6435)) and z₂ = 5(cos(-0.6435) + isin(-0.6435)). Their complex conjugates are z₁* = 5(cos(0.6435) - isin(0.6435)) and z₂* = 5(cos(-0.6435) - isin(-0.6435)).

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Based on the explanation below, the conclusion that Elan is tired because Elan stayed up late is invalid.

In the question, it is stated that if Elan stays up late, he will be tired the next day.

However, staying up late is not the only thing that could make Elan get tired.

This implies that there are so many other things than can make Elan get tired such as working for long hours.

It is possible that Elan was tired because Elans worked long hours.

By implication, the conclusion is invalid.

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Answer:

1. Not possible

2. SSS

Step-by-step explanation:

We are given two triangles. Notice how the one on the left has the angle between the marked sides.

The triangle on the right also has some sides and an angle that is congruent to the sides and angle of the first one. However, notice that the angle is not between the marked sides; the angle is between one of the marked sides, and one of the unmarked sides.

Congruent triangles need to have the sides be congruent, with the angles being in the same location. Since the angles are not in the same location, these triangles are NOT congruent.

So the answer is C; not possible.

We are given two triangles, which already have some sides that have been marked congruent, with one unmarked side, that they both share.

Since this shared, unmarked side is considered to be part of both of the triangles, and to be congruent in both of those triangles. There is a property known as reflexive property, which states that a number (or value) is equal to the value of itself.

Because this shared side is the third congruent side, we can say that all of the sides are congruent, which is SSS (side-side-side) postulate.

The answer to question 2 is A; SSS.

Answer:

Factor using difference of cubes and set each factor equal to

0

.

x

=

2

,

−

1

+

i

√

3

,

−

1

−

i

√

3

Step-by-step explanation:Factor using difference of cubes and set each factor equal to

0

.

x

=

2

,

−

1

+

i

√

3

,

−

1

−

i

√

3

Hey there!

“x³ – 8 = 0”

• ADD BOTH of your SIDES BY 8

x³ – 8 + 8 = 0 + 8

• CANCEL out: –8 + 8 because that gives you 0

• KEEP: 0 + 8 because it helps us solve for your x-value

0 + 8 = 8

x³ = 8

• SECOND: TAKE your CUBE ROOT

x = 8^1/3

SOLVE ABOVE AND YOU HAVE YOUR x-value!

x = 2 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

The potential between points P and Q are 105 units.

To find the potential between two points, we need to integrate the electric field along the path connecting the points. The electric field is given by E = 40xyi + 20x^2j + 2k.

Let's denote the position vector of point P as r_p = xi + yj + zk, and the position vector of point Q as r_q = xi + yj + zk.

The potential difference ΔV between P and Q is given by:

ΔV = ∫ E · dr,

where dr is an infinitesimal displacement along the path connecting P and Q.

In this case, the path is a straight line from P to Q, so we can parametrize it as r = r_p + t(r_q - r_p), where t varies from 0 to 1.

Substituting the electric field E into the integral, we have:

ΔV = ∫ (40xyi + 20x^2j + 2k) · (dx/dt)i + (dy/dt)j + (dz/dt)k,

where dx/dt, dy/dt, and dz/dt are the derivatives of x, y, and z with respect to t.

Simplifying the dot product and integrating term by term, we get:

ΔV = ∫ (40xydx/dt + 20x^2dy/dt + 2*dz/dt) dt.

Now, let's calculate the derivatives dx/dt, dy/dt, and dz/dt:

dx/dt = d(xi)/dt = 0, since x does not vary with t.

dy/dt = d(yj)/dt = 0, since y does not vary with t.

dz/dt = d(zk)/dt = 0, since z does not vary with t.

Therefore, the integrals for dy/dt and dz/dt will be zero.

The integral for dx/dt is:

∫ (40xy*dx/dt) dt = 40xy ∫ (dx/dt) dt

= 40xy ∫ 0 dt

= 0.

So, the potential difference ΔV reduces to:

ΔV = ∫ (40xydx/dt + 20x^2dy/dt + 2*dz/dt) dt

= ∫ (0 + 0 + 0) dt

= 0.

Hence, the potential difference between points P and Q is zero. Therefore, the answer options provided (a) 104, (b) 105, (c) 106, (d) 107 are all incorrect.

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Answer:

(-2)(9x-3)-12x

= -18x + 6 - 12x

= 6 - 30x

Answer:

(c) Paul's model predicts a score of 51 for 3 hours

(d) 30 represents the y intercept

Step-by-step explanation:

Given

\(y = 7x + 30\)

Solving (c): What is y when x is 3

Substitute 3 for x in \(y = 7x + 30\)

\(y = 7*3 + 30\)

\(y = 21 + 30\)

\(y = 51\)

Solving (d): What does 30 represent

An equation is represented as:

\(y = mx + b\)

Where

\(b = y\ intercept\)

Compare: \(y = mx + b\) to \(y = 7x + 30\)

\(b = 30\)

This implies that 30 represents the y intercept

Answer:

10. y=the total amount of money

A) y=4m

B) y= 4(5.25)

y= $21

11. y= total amount of money

A) y= 40m + 35

B) y= 40(10) + 35

y= $435

Number 10:

You know five people, you and four friends, are contributing the same amount of money for food.  Lets say F = Food and M=Money.  Since they are contributing the same amount of money, it would be 5 * m, or 5m.  So, F would equal 5m.   F=5m.

Part B-  You would do the same expression, F=5m, but you would instead plug 5.25 in for m.  So, 5.25 times 5 would equal 26.25 dollars.

Number 11:

Part A- Let M equal months.  $40 times the number of months + 35 is the total cost, so 40m +35 is the expression.

Part B-  Since the total cost is 40 dollars times the number of months + $35, you would multiply 40 * 10, to get 400 dollars over 10 months.  Then you would add the $35 fee, so the answer would be $435.

Note that both of these absolute value inequalities have the same solution set as 5 < x < 7.

Inequality refers to the state of being unequal, uneven, or unfair in terms of social, economic, political, or other factors. It can be the result of various factors such as discrimination, prejudice, systemic biases, and unequal distribution of resources, opportunities, and power. Inequality can manifest itself in many forms, including income and wealth disparities, unequal access to education, healthcare, and housing, unequal treatment under the law, and marginalization of certain groups based on their race, gender, sexual orientation, religion, or other characteristics. Addressing inequality is an important challenge in creating a more just and equitable society.

to write an absolute value inequality with a solution set of 5 < x < 7, we need to use the form |x - b| < c, where b is the center of the solution set and c is the distance from the center to the edge of the solution set.

In this case, the center of the solution set is (5 + 7)/2 = 6, and the distance from the center to the edge is (7 - 5)/2 = 1.

Therefore, we can write the absolute value inequality as:

\(| x - 6 | < 1\)

Alternatively, we can use the form |x - b| > c and write the absolute value inequality as:

\(x < 5 or x > 7\)

Note that both of these absolute value inequalities have the same solution set as 5 < x < 7.

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Answer:

0.0545635

Step-by-step explanation:

divide the time value by 10080

The most appropriate variable type is usually level variables or positive variables for a linear program (LP).

In GAMS (General Algebraic Modeling System), there are several variable types available. The five permissible variable types in GAMS are:

1.These variables can take any real value within a defined range. They are typically used in models where quantities can vary continuously, such as production levels or resource allocations.

2.These variables are similar to level variables, but they are constrained to be non-negative. They are commonly used to represent quantities that cannot be negative, such as production quantities or inventory levels.

3.Binary variables can take only two possible values, typically 0 or 1. They are commonly used to represent decisions or choices, where 0 indicates the absence or non-selection of an option, and 1 indicates the presence or selection of an option.

4.Integer variables can take only integer values. They are used when the decision variables need to be restricted to whole numbers, such as representing the number of units to produce or the number of employees to hire.

5.These variables can take a value of either zero or any nonnegative real number within a specified range. They are used to model situations where there is a fixed cost associated with using a resource or when there are minimum usage requirements.

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Answer:

The explicit rule of the given sequence is a\(_{n}\) = -84 + 7n

Step-by-step explanation:

The nth term of the arithmetic sequence is a\(_{n}\) = a + (n - 1)d, where

∵ a\(_{11}\) = -7

∴ n = 11

→ Substitute n by 11 in the nth term rule

∴ a\(_{11}\) = a + 10d

→ Equate the right sides of a\(_{11}\)

∴ a + 10d = -7 ⇒ (1)

∵ a\(_{19}\) = 49

∴ n = 19

→ Substitute n by 19 in the nth term rule

∴ a\(_{19}\) = a + 18d

→ Equate the right sides of a\(_{19}\)

∴ a + 18d = 49 ⇒ (2)

→ Subtract equation (1) from equation (2)

∵ (a - a) + (18d - 10d) = (49 - -7)

∴ 0 + 8d = (49 + 7)

∴ 8d = 56

→ Divide both sides by 8 to find d

∴ d = 7

→ Substitute the value of d in equation (1) to find a

∵ a + 10(7) = -7

∴ a + 70 = -7

→ Subtract 70 from both sides

∵ a + 70 - 70 = -7 - 70

∴ a = -77

→ Substitute the values of a and d in the rule of the nth term above

∵ a\(_{n}\) = -77 + (n - 1)(7)

∴ a\(_{n}\) = -77 + (n)(7) - (1)(7)

∴ a\(_{n}\) = -77 + 7n - 7

∴ a\(_{n}\) = -84 + 7n

∴ The explicit rule of the given sequence is a\(_{n}\) = -84 + 7n

Answer:

20.25?

Step-by-step explanation:

The required transformed function is given by, g(x) = 5/(x-2) + 6

Given the parent function is, f(x) = 1/x

Now if we vertically stretched the function by a factor 5 units then the function becomes,

g(x) = 5/x

Again if we shifted to the right to 2 units then the function becomes,

g(x) = 5/(x-2)

Further if we shift up to 6 units then the function transformed to,

g(x) = 5/(x-2) + 6

Hence the ultimate transformed function is, g(x) = 5/(x-2) + 6.

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Answer:

Triangle

Step-by-step explanation:

h = Tan A x d, where h is the tree height, d is the distance from tree, and A is the angle to the top of the tree.

Basically you want to solve for the hypotenuse by using basic trig

Answer:

y = 1

x = 4

Step-by-step explanation:

x + 3y = 7 → ( 1 )

2x - y = 7 → ( 2 )

First, let us make x the subject in equation ( 1 ).

x = 7 - 3y  → ( 3 )

Let us find the value of y.

For that let us take equation (1) & replace x with ( 7 - 3y ).

2x - y = 7

2 ( 7 - 3y ) - y = 7

Solve the brackets.

14 - 6y - y = 7

Combine like terms.

14 - 7y = 7

Subtract 14 from both sides.

-7y = 7 - 14

-7y = -7

Divide both sides by -7.

y = 1

Let us find value of x

For that let us take equation (3) & replace y with 1.

x = 7 - 3y

x = 7 - 3 × 1

x = 7 - 3

x = 4