Please be fast! What is the true solution to the equation below?

The value of T(v), express v as linear combination in the basis B and the matrix representation of T obtain is T(v) = [4, -4].

To find T(v), we need to express v as a linear combination of the basis vectors of R^3 with respect to B:

v = (-1)[0] + (-1)[0] + (1)[1]

This means that the coordinate vector of v with respect to B is [-1, -1, 1].

To find the matrix representation of T with respect to the standard bases of R^3 and R^2, we can apply T to each of the basis vectors:

T([1, 0, 0]) = [1, 3]

T([0, 1, 0]) = [-1, 1]

T([0, 0, 1]) = [2, -2]

We can arrange the results in a matrix:

[1 -1 2]

[3 1 -2]

The matrix [1 -1 2; 3 1 -2] represents T with respect to the standard bases of R^3 and R^2.

To find T(v), we can multiply the matrix representation of T with the coordinate vector of v with respect to B:

T(v) = [1 -1 2; 3 1 -2] * [-1; -1; 1] = [4; -4]

Therefore, T(v) = [4, -4].

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The constant of proportionality (k) is equal to 10.

In Mathematics, a proportional relationship can be defined as a type of relationship that generates equivalent ratios and it can be represented by this mathematical expression:

y = kx

Where:

In order to have a proportional relationship and equivalent ratios, the variables money (y) earned for selling (x) amount of shirts must have the same constant of proportionality and this is modeled by this mathematical equation:

kx = 10x

k = 10.

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Answer:

Step-by-step explanation:

How are we supposed to know bcuz we dont know how much he is getting an hour so i cant help u sorry you gave us barely any info

The Mean absolute deviation and the mean are not same.

Given,

The mean;-

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

Mean absolute deviation;-

The average distance between each data point and the mean is known as the mean absolute deviation of a dataset. It offers us a sense of how variable a dataset contains.

Therefore,

The Mean absolute deviation and the mean are not same.

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Answer:

\(\frac{9\pm\sqrt{61}}{2}\)

Step-by-step explanation:

\(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-(-9)\pm\sqrt{(-9)^2-4(1)(5)}}{2(1)}=\frac{9\pm\sqrt{81-20}}{2}\\\\=\frac{9\pm\sqrt{61}}{2}\)

The appropriate simulation applet to calculate an approximate p-value is 0.0077.

The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.

Delay or no delay, answer: the number of words remembered

The mean distance between words remembered with and without delay over time is null, or zero.

Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.

Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.

The mean distance in words remembered is 1.85.

1)0.0077 as the p-value

2)Strong data suggests that a brief delay impairs memorization.

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The average size of a customer's bill at a restaurant that earns daily $3,250 for the meals that it sells to 200 customers is $16.25. Therefore, the right answer is option (c).

The average or mean is calculated by taking the ratio of the total sum of the outcomes of an event to the frequency or the number of times the event occurs.

It can be written as \(\frac{n_1+n_2+.....+n_a}{a}\).

In the given question, the sum of the customer bill is given as $3,250.

And the number of customers served is given to be 200.

Therefore, the average size of a customer's bill is calculated by \(\frac{3250}{200}\)

Which turns out to be $16.25.

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The answer is $16.25. To find the average size of a customer's bill, you would divide the total earnings by the number of customers.
$3,250 / 200 customers = $16.25 per customer.

To find the average size of a customer's bill at the restaurant, you need to divide the total daily earnings by the number of customers. Here's a step-by-step explanation:

1. The restaurant earns $3,250 daily from the meals it sells.
2. The restaurant serves 200 customers daily.

Now, calculate the average bill size:

3. Divide the total daily earnings ($3,250) by the number of customers (200).

$3,250 ÷ 200 = $16.25

The average size of a customer's bill at the restaurant is $16.25.

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Answer:

b,d

Step-by-step explanation:

80+3= 83 false

0+3=3 true

70+3= 73 false

60+3=63 true

69+3= 72 false

Hope this helps

\(\large\text{Hey there!}\)

\(\large\textsf{x + 3}<\large\textsf{70}\\\\\huge\textbf{SUBTRACT 3 to BOTH SIDES}\\\\\large\textsf{x + 3 - 3}<\large\textsf{70 - 3}\\\\\huge\textbf{CANCEL out: 3 -3 because it give you 1}\\\\\huge\textbf{KEEP: 70 - 3 because it help what is}\\\huge\textbf{being compared to the x-value}\\\\\large\text{NEW EQUATION: \textsf{x}} < \large\textsf{70 - 3}\\\\\large\text{SIMPLIFY IT!}\\\\\large\textsf{x}< \large\textsf{67}\\\\\huge\textbf{Thus, your answer is: \boxed{\mathsf{x < 67}}}\huge\checkmark\)

\(\large\textbf{It is an (O)(P)(E)(N) circle shaded to the LEFT side of the}\\\large\textbf{number starting at point 67.}\)

\(\large\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

y = 25m + 350

Step-by-step explanation:

She already has 350 and every month she will add an additional 25

Answer:

Anna saving her money from m months is 375

Answer:

Natural Number: 1, 2, 3

Whole number: 7, 19, 24

Integer: 12

Rational Number: 8, 1.5

Irrational Number: π

Step-by-step explanation:

8th grade k-12 xx

Answer:

The rule that explains why the two triangles are congruent is the Angle-Angle-Side (AAS) congruence theorem:

Step-by-step explanation:

According to the Vertical Angle Theorem, opposite vertical angles of two straight intersecting lines are congruent. Therefore:

From inspection of the triangles:

Therefore, triangle NHM and triangle KHJ have two congruent angles and one congruent side.  As the side is not included between the two angles, the rule that explains that the triangles are congruent is AAS.

If any two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

True. In Oymyakon, Russia, which is considered the coldest inhabited village on Earth, temperatures can indeed sink to -88°F (-71°C). In such extreme cold, eyelashes can freeze, and food items can become frozen quickly.

In these extremely cold regions, temperatures can indeed drop to very low levels, often below -50°C (-58°F) during the winter months. In such extreme conditions, it is possible for eyelashes to freeze and for items such as dinner to freeze quickly. While the specific temperature mentioned (-88°F) may not be accurate for a particular location, it is not far-fetched considering the extreme cold experienced in these regions.

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Answer:

no.

Step-by-step explanation:

the side of the square garage will be square root of 121 = 11

since the car is wider than the side of the garage, It wouldn't fit.

Answer:

17.2ft

Step-by-step explanation:

just add

11.4+5.8=17.2

Adding the polynomial 3a³ + 8a - 6 and 4a² - 9a + 11 gets 3a³ + 4a² - a + 5.

The answer in descending powers of a is 3a³ + 4a² - a + 5.

A polynomial is a mathematical expression consisting of a sum of powers in one or more variables (indeterminates) with non-negative integer exponents.

Adding the polynomial 3a³ + 8a - 6 and 4a² - 9a + 11                                        

(3a³ + 8a - 6) + (4a² - 9a + 11) = 3a³ + 4a² - a + 5

The coefficients of  a³, a², a and 1 is 3, 4, -1 and 5 respectively.                      

Descending powers of a in the polynomial is a³, a², a. So the answer in descending powers of a is 3a³ + 4a² - a + 5.

--The question is incomplete, answering to the question below--

"Add the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of a.

Add: 3a³ + 8a - 6 and 4a² - 9a + 11"

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The y-intercept of the line 4x + 2y ≥ 14 is y ≥ 7.

The y-intercept is the point where the graph intersects the y-axis. In other words, the y-intercept of a line is the value of y when x equals to zero.

In simpler term, the y-intercept of a function is the point(s) where the graph of the function crosses the y-axis.

Therefore, let's find the y-intercept of the inequality.

4x + 2y ≥ 14

let's substitute x as 0.

Therefore,

4x + 2y ≥ 14

4(0) + 2y ≥ 14

2y ≥ 14

divide both sides by 2

2y / 2 ≥ 14 / 2

Hence,

y ≥ 7

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Answer:

the value of the equation is -1

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

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The two lines that represent a system of equations with solution (-6, -2) are lines a and c

To find the solution of a system of equations graphically, we need to find the point where the two lines intercept.

So here we only need to see which two lines intercept at the point (-6, -2), using the given graph, we can see that the two lines that intercept at that point are the lines C and A, so the system of lines:

Line C

Line A

is the system of equations with the given solution.

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Answer:

x = 11/6 = 1 5/6

x = 1 5/6

Step-by-step explanation:

Answer:

x = 1 5/6

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Remember, when you add two same symbols, the outcome will be positive.

- + - = +

- + + = -

+ - + = +

+ - - = -

Answer:

lets find the exact value of w

7w - 7 = 7

+7        +7

7w = 14

/7     /7

w = 2

Now let's replace w with 2

5(2) + 1 = 11

The coordinates of the triangle S'T'U' is (2, -1), (5,3), (1, -4) and the triangle S"T"U" is (1,3), (4,5),(0,-2)

Coordinates:

Basically, the pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes is known as coordinates.

Given,

The triangle STU is graphed at S(2,-1) T(5,-3) U(1,4). Triangle STU is reflected over the x-axis to create triangle S'T'U' and then translated by the rule (x,y) ->(x-1,y+2) to create S"T"U".

Here we need to find the coordinates for triangle S'T'U' and S"T"U".

In order to find the correct transformation for this triangle, we have to do the following,

The formula that is used to reflect a coordinate point about the x-axis.

(X2,Y2) = (X1,Y1) * (1,-1)

So, based on this rule, the coordinates of S'T'U' is,

S(2,-1) => S'((2 x 1), (-1 x -1)) = > S'(2,-1)

T(5,-3) => T'((5 x 1), (-3 x -1)) => T'(5, 3)

U(1,4) => U'((1 x 1), (4 x -1)) => U'(1, -4)

Now we have to apply the next rule,

=> (x, y) -> (x-1, y+2)

S'(2,1) => S'((2 - 1), (1 + 2)) = > S'(1, 3)

T'(5,3) => T'((5 - 1), (3 + 2)) => T'(4, 5)

U'(1,-4) => U'((1 - 1), (-4 + 2)) => U'(0, -2)

Therefore, the coordinates of S'T'U' is (2, -1), (5,3), (1, -4) and the coordinates of S"T"U" is (1,3), (4,5),(0,-2)

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Answer:

julie

Step-by-step explanation:

12 x 4 +=48

19x 6 = 114

Answer:

B. ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since  ║ , ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6

Step-by-step explanation:

The given parameters are;

= 5

= 10

=  +  = 15

= x - 3

= x + 1

A two column proof is presented as follows;

Statement          Reason

∠L ≅ ∠L             By Reflexive property of congruency

║           Given

∠LOP ≅ ∠LMN   By the Corresponding angles Postulate

Therefore

ΔLOP ~ ΔLMN   By AA similarity Postulate

Where we have that ΔLOP and ΔLMN, we get;

/  = / = 5/15 = 1/3

∴ (x - 3)/(x + 1) = 1/3

3·(x - 3) = 1·(x + 1)

3·x - 9 = x + 1

3·x - x = 1 + 9 = 10

2·x = 10

x = 10/2 = 5

x = 5

= (x - 3) = 5 - 3 = 2

= 2

= x + 1 = 5 + 1 = 6

=  6

Therefore, the correct option is ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since  ║ , ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.

/TO/ and /US/ are parallel so the angles at TOS (©)and the external angle at OSU (©) are equal ( Z angles) therefore the internal angle at OSU will be 180 - © similarly the angle at POT is also 180 - ©

Answer:

(3x – 6)(-x + 3) = 0

=> 3x - 6 = 0 => x = 6/3 = 2

and

=> -x + 3 = 0 => x = 3

Hope this helps!

:)

To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

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0.80 = (x + 8)(0.05) is the equation used to find x.

Given,

Darryl has a solution of bleach with the concentration of 10%.

10% bleach solution means in 100 ml solution amount of bleach is 10 gm

Here,

Darryl wants to change the concentration of this solution to 5%, means he wants to add water so that amount of liquid will change but amount of bleach in grams will remain the same.

Amount of bleach in 8 gallons of 10% solution of bleach will be = (Volume)×(concentration) = 8(.10) gm

Let Darryl adds x gallons of water in 10% solution of bleach to make it 5% solution of bleach.

Amount of bleach in 5% solution of bleach = (x + 8)(0.05) gm

Now in both the concentrations of bleach solution amount of bleach will remain same.

So, 0.8 = (x + 8)(0.05) will be the equation from which he can find the value of x.

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