See the image below.

The sale price of the laptop computer is $53.00. We subtracted the discount amount from the original price.

Discount is a reduction in the price of a product or service that is offered to customers by a seller, usually as an incentive to increase sales or clear out inventory. It is typically expressed as a percentage of the original price.

To calculate the sale price of the laptop computer, we need to subtract the discount amount from the original price.

Discount amount = Regular price - Sale price

Discount amount = $865.00 - $812.00

Discount amount = $53.00

Therefore, the sale price of the laptop computer is $812.00.

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The matrix A represents the linear transformation T that maps vectors from a k-dimensional vector space to a 3-dimensional vector space and can be used to find the image of a vector under the linear transformation is:

[tex]T=\left[\begin{array}{c} -15 \\ 37.5 \\ 15 \end{array}\right][/tex]

A linear transformation is a function that maps vectors from one vector space to another and preserves the operations of vector addition and scalar multiplication. In this case, the matrix A represents the linear transformation T that maps vectors from a k-dimensional vector space to a 3-dimensional vector space.

The matrix       [tex]\[ A=\left[\begin{array}{cccc} -3 & 0 & -4 & 0 \\ 7.5 & 0 & 10 & 0 \\ 3 & 0 & 4 & 0 \end{array}\right] \][/tex]

is a matrix of a linear transformation [tex]\( T: \mathbb{R}^{k} \rightarrow \mathbb{R}^{3} \).[/tex]

The matrix A can be used to find the image of a vector under the linear transformation T. For a vector  [tex]\( \mathbf{x} \in \mathbb{R}^{k} \)[/tex], the image of the vector under the linear transformation T is given by the matrix-vector product [tex]\( A\mathbf{x} \).[/tex]

For example, if     [tex]\( \mathbf{x} = \left[\begin{array}{c} 1 \\ 2 \\ 3 \\ 4 \end{array}\right] \)[/tex]

Then the image of the vector under the linear transformation T is given by

[tex]\[ A\mathbf{x} = \left[\begin{array}{cccc} -3 & 0 & -4 & 0 \\ 7.5 & 0 & 10 & 0 \\ 3 & 0 & 4 & 0 \end{array}\right] \left[\begin{array}{c} 1 \\ 2 \\ 3 \\ 4 \end{array}\right] = \left[\begin{array}{c} -15 \\ 37.5 \\ 15 \end{array}\right] \][/tex]

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Elie Wiesel's quote speaks to the idea that human suffering is a universal concern and that we all have a responsibility to respond to it. It is a call to action for all of us to be aware of the suffering of others and to do what we can to alleviate it.

The quote "Human suffering anywhere concerns men and women everywhere" by Elie Wiesel in his book Night speaks to the idea that suffering is not an isolated event. Rather, it is something that affects all of humanity, regardless of where it occurs. This quote highlights the interconnectedness of humanity and the responsibility we all have to care for one another.

Wiesel, a Holocaust survivor, experienced unimaginable suffering during his time in concentration camps. Through his writing, he is able to convey the importance of recognizing and responding to the suffering of others. This quote serves as a reminder that we cannot turn a blind eye to the suffering of others, even if it is happening in a different part of the world.

In conclusion, Elie Wiesel's quote speaks to the idea that human suffering is a universal concern and that we all have a responsibility to respond to it. It is a call to action for all of us to be aware of the suffering of others and to do what we can to alleviate it.

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The measure of the vertex angle of triangle ACE is 50°. The solution has been obtained by using properties of angles.

What is an angle?

An angle is a figure in plane geometry that is created when two rays or lines share an endpoint.

We are given an isosceles triangle ACE which means that AC = CE.

We are given ∠BDE = 115°

Since, angles on a straight line form a linear pair, therefore

⇒∠BDE + ∠BDC = 180°

⇒115° + ∠BDC = 180°

⇒∠BDC = 65°

Since, BD║AE so,

∠BDC = ∠AEC

So, ∠AEC = 65°

Since, AC = CE so,

∠AEC = ∠CAE

So, ∠CAE = 65°

Now, using angle sum property, we get

⇒∠AEC + ∠CAE + ∠ACE = 180°

⇒65° + 65° + ∠ACE = 180°

⇒130° + ∠ACE = 180°

⇒∠ACE = 50°

Hence, the measure of the vertex angle of triangle ACE is 50°.

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The answers for each line are:

a) the slope is  -2

b) The slope is 2/5 and the y-intercept is -2.

c) x = 10/4

d) y = -7x - 2

A linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if the line passes through (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

a) Then the slope of the line that passes through (2, -5) and (-2, 3) is:

a = (3 + 5)/(-2 - 2) = 8/-4 = -2

b) The line is 2x - 5y = 10

Isolating y we will get:

5y = 2x - 10

y = (2/5)*x - 2

The slope is 2/5 and the y-intercept is -2.

c) Here we need to solve:

-4 = (1 + 9)/(0 - x)

-4*-x = 10

x = 10/4

d) if the slope is -7, then we have:

y = -7x + b

And the line also passes through (-1, 5), then:

5 = -7*-1 + b

5 = 7 + b

5 - 7  =b

-2 = b

The line is:

y = -7x - 2

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Answer: bro hear me out rq in the explanation

Step-by-step explanation: Jim hands the cashier the $20 bill and, if necessary, provides his identification to purchase the item. The cashier will then record the purchase, give Jim his change, and thank him for his business.

Step-by-step explanation:

How many Oz make 1 Pound

Answer is 16

Divide 87 by 16

Answer is 5Lb 7oz

Answer:

16-year-old horse is equivalent to a 48-year-old human. x = 48

Step-by-step explanation:

We can set up a proportion to solve this problem:

horse age / human age = k

where k is the constant of proportionality. We're told that a 5-year-old horse is equivalent to a 15-year-old human, so we can use this information to find k:

5 / 15 = k

k = 1/3

Now we can use this value of k to find the equivalent human age for a 16-year-old horse:

16 / x = 1/3

Multiplying both sides by x:

16 = x/3

Multiplying both sides by 3:

x = 48

So a 16-year-old horse is equivalent to a 48-year-old human.

[tex] \frac{7 + 2 \sqrt{10} }{3} [/tex]

m is 7, n is 2

The required linear function is (f(x) = 0.6(x - 2006) + 56) and this can be determined by using the arithmetic operations.

Given :

In 2006 the average grownup ate fifty-six kilos of birds.

the amount will increase by means of zero.6 pounds in step with yr till 2011.

To determine the linear feature f(x) following steps can be used

Let 'x' be the number of years.

Then the total number of years since 2006 will be:

= x - 2006

The amount boom in kilos in line with 12 months could be:

= 0.6(x - 2006)

Now, add 56 to the above equation.

= 0.6(x - 2006) + 56

It is a type of function that has a constant rate of change between the independent variable (usually denoted as x) and the dependent variable (usually denoted as y). The general form of a linear function is y = mx + b, where m is the slope or the rate of change, and b is the y-intercept.

Linear functions are commonly used in mathematics, economics, physics, and engineering to model real-world phenomena that have a linear relationship between two variables. For example, the cost of producing a certain number of units of a product may be modeled by a linear function, where the slope represents the cost per unit and the y-intercept represents the fixed costs.

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Answer:

x = 50

Step-by-step explanation:

sin 40º = 32 / x

0.64 = 32 / x

x = 32 / 0.64

x =~ 50

Answer:

The correct next step is the answer choice

x^2+b/a x=-c/a

Step-by-step explanation:

Some of the questions to ask grade 12 students on a questionnaire about taking a gap year after school​ are:

A questionnaire refers to a set of questions or items used to collect information about respondents' attitudes, experiences, or opinions. Questionnaires can be used to collect both quantitative and qualitative data. Questionnaires are widely used in market research, as well as social and health sciences.

As the researcher's study focus on semester taken after high school and prior to post-secondary education, such questionnaire involve will focus on variables on the student gap year.

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Answer:

  39°

Step-by-step explanation:

You want to know the measure of the third angle in a triangle with two angles given as 39° and 102°.

The angle sum theorem tells you the sum of angles in a triangle is 180°.

  39° +102° +x = 180°

  x = 39° . . . . . . . . . . . . subtract 141° from both sides

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Answer:

-2

Step-by-step explanation:

Whenever you see f(x), for any number x, you plug x into the function. In your function, f(x) = -x - 1, you want to find f(1).

So, f(1) = -(1) - 1, which equals -2

Answer:

The discounted price of the shoes is:

$70 x 0.65 = $45.50

The amount of sales tax is:

$45.50 x 0.05 = $2.275

Therefore, the total amount you will pay for the shoes is:

$45.50 + $2.275 = $47.775

Rounded to two decimal places, the amount you will pay is $47.78.

The surface area of the rectangular prism is 174 cm^2

Rectangular Prism is a three-dimensional shape, having six faces, where all the faces (top, bottom, and lateral faces) of the prism are rectangle such that all the pairs of the opposite faces are congruent.

To determine the surface area of Rectangular prism

SA = 2(LH + LW + WH)

Where W = Width = 2 cm

L = Length = 5 cm

H = Height = 11 cm

SA = 2[(5*11) + (5*2) + (11*2)]

SA = 2(55 + 10 + 22)

SA = 2(87)

SA = 2 * 87

SA = 174

Therefore, the surface area of rectangular prism is 174 cm^2

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Answer: $4.28 per quart

Step-by-step explanation:

So there is 4 quarts in one gallon. Since there is 2 gallons that means there is 8 quarts total. now you want to take $34.24 and divide it by 8 and you will get $4.28

The value of x is 57 degrees. This was obtained by the use of the trigonometric ratios.

A right triangle, also known as a right-angled triangle, is one that we can say that an angle in this triangle would be 90 degrees.

The Pythagorean theorem can be used to obtain the lengths of the various sides that we have in the right angled triangle. This is one of the fundamental theories in the right angled triangle.

Let us now use the cosine to find the angle as shown below;

We know that;

Cos x = 11/20

x = Cos-1(11/20)

x = 57 degrees

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Answer is: AC= 9[tex]\sqrt{3}[/tex] Units, AB = 18 units.

Triangles have three interior angles that add up to 180 degrees, and they can be classified based on the lengths of their sides and the measures of their angles.

In ΔABC, angle C is right angle,

so the triangle is right angle triangle;

tan30° = BC/AC

[tex]\frac{1}{\sqrt{3} }[/tex] = 9/AC

AC= 9[tex]\sqrt{3}[/tex] Units

and

Sin 30° = BC/AB

1/2 = 9/AB

AB = 18 units

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Answer: True

Step-by-step explanation:

Answer: No

Step-by-step explanation:

Definitely not.

The solutions of the polynomial equation are x = 0, x = 4.09, and x = -1.59.

The solutions of the polynomial equation 4x^(4)-13x^(3)-21x^(2)+78x-18=0 can be found by factoring the equation and setting each factor equal to zero.

First, we can factor out a common factor of 4x^2 from the equation:
4x^2(x^2-3.25x-5.25)+78x-18=0

Next, we can use the quadratic formula to solve for x in the equation x^2-3.25x-5.25=0:
x = (-(-3.25) ± √((-3.25)^2-4(1)(-5.25)))/(2(1))
x = (3.25 ± √(29.3125))/2

This gives us two solutions for x:
x = (3.25 + √(29.3125))/2 ≈ 4.09
x = (3.25 - √(29.3125))/2 ≈ -1.59

Finally, we can set each factor equal to zero and solve for x:
4x^2 = 0 -> x = 0
x^2-3.25x-5.25 = 0 -> x = 4.09 or x = -1.59

So the solutions of the polynomial equation are x = 0, x = 4.09, and x = -1.59.

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Rows of chairs that are needed to make 48 musicians sit is 8 rows.

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers.

Given,

Number of musicians in orchestra

18 string musicians, 9 percussion musicians,

15 brass musicians, and 12 woodwind musicians

Total number of musicians

= 18 + 9 + 15 + 12

= 54

Six of the musicians cannot play in the next performance

Number of musicians playing in next performance

= 54 - 6

= 48

48 musicians will sit on 48 chairs

Number of chairs in one row = 6

Number of rows for 48 chairs = 48/6 = 8

Hence, 8 rows of chairs are needed to make 48 musicians sit.

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We can start by first finding the value of 8°F, where F represents the function f(x) = x² - 8.

So, we have:

8°F = 8(f(x)) = 8(x² - 8) = 8x² - 64

Now, substituting x = -3, we get:

8°F(-3) = 8(-3)² - 64 = 8(9) - 64 = 8

Finally, substituting this value into the given expression, we have:

8°F(-3) - 4 = 8 - 4 = 4

Therefore, the statement "True" is correct.

We can use the two-point form to find the equation of the line passing through the two given points:

y - y1 = ((y2 - y1)/(x2 - x1))(x - x1)

where (x1, y1) = (1, 7) and (x2, y2) = (3, 3).

Substituting the values, we get:

y - 7 = ((3 - 7)/(3 - 1))(x - 1)

Simplifying the equation, we get:

y - 7 = (-2/2)(x - 1)

y - 7 = -x + 1

Adding 7 to both sides, we get:

y = -x + 8

Therefore, the equation of the line passing through the points (1, 7) and (3, 3) is y = -x + 8.

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The right rectangle prism contains 48 cubes, which results in a volume of 131,712 cubic inches.

A prism is a solid geometric form with two parallel bases that are congruent and typically shaped like polygons, as well as parallelogram-shaped sides that connect the bases. Prisms come in different shapes, such as hexagonal, triangular, and rectangle.

given

The 48 blocks that make up the right rectangular prism each have an edge length of 14 inches. By dividing the quantity of cubes by the sum of their individual volumes, one can determine the volume of the prism.

Each cube has a volume of (14 in.)3 = 2744 cubic inches.

Cube count is 48.

48 squares at 2744 cubic inches each equals 131,712 cubic inches of volume for the prism.

The right rectangle prism contains 48 cubes, which results in a volume of 131,712 cubic inches.

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Maria has $22,000 invested in account A and $8,000 invested in account B.

Let's begin by setting up a system of equations to solve for the amount Maria has invested in each account. Let x be the amount invested in account A and y be the amount invested in account B. Since Maria has a total of $30,000 invested in both accounts, we can write the first equation as:

x + y = 30,000

Next, we can write an equation to represent the total annual interest earned from both accounts:

0.045x + 0.038y = 1,294

Now, we can use the substitution method to solve for x and y. We'll rearrange the first equation to solve for x:

x = 30,000 - y

Then, we'll substitute this value of x into the second equation:

0.045(30,000 - y) + 0.038y = 1,294

Simplifying the equation gives:

1,350 - 0.045y + 0.038y = 1,294

Combining like terms and isolating y gives:

0.007y = 56

y = 8,000

Now, we can substitute this value of y back into the first equation to solve for x:

x = 30,000 - 8,000

x = 22,000

So, Maria has $22,000 invested in account A and $8,000 invested in account B.

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Answer:

Well question is not clear rewrite

The amount that you owe will reach $15,000 after approximately 21.5 years.

Here is a step-by-step explanation of how to calculate this:
1. First, determine the number of compounds per year (n). In this case, since we are using an effective rate, n = 1.
2. Next, use the compound interest formula to find the final amount (A): A = P(1 + r/n)^(nt)
3. Plug in the given values for P ($10,000), r (0.021), n (1), and A ($15,000) and solve for t:
$15,000 = $10,000(1 + 0.021/1)^(1*t)
4. Simplify the equation and isolate t on one side:
1.5 = (1.021)^t
5. Take the natural logarithm of both sides:
ln(1.5) = t*ln(1.021)
6. Solve for t:
t = ln(1.5)/ln(1.021)
7. Use a calculator to find the value of t:
t ≈ 21.5

Therefore, the amount that you owe will reach $15,000 after approximately 21.5 years, rounded to the nearest tenth (0.1).

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