(a) A company manufactures 15-inch laptops and 17-inch laptops. It takes 3 hours to manufacture a 15-inch laptop and 5 hours to manufacture a 17-inch laptop. Each 15-inch laptop has 256 GB of memory and each 17-inch laptop has 512 GB of memory. The company has 480 hours available and parts for 43,520 GB of memory. The company makes a profit of $2000 on each 15-inch laptop and $3000 on each 17-inch laptop.

Answer:

You can do this on your own

Step-by-step explanation:

Knowing this, we know that 10 is like 0.0299% of 943M sO do this on your own!

Answer:

Step-by-step explanation:

In the set-builder notation, the set C that contains the elements {-9, -6, -3, 3, 6, 9} can be written as:

C = {x | x ∈ Z and x ∈ {-9, -6, -3, 3, 6, 9}}

where "x" is a variable, "Z" represents the set of integers, and the expression "x ∈ {-9, -6, -3, 3, 6, 9}" specifies that x can only take on the values of -9, -6, -3, 3, 6, or 9.

Alternatively, we can write it as:

C = {-9, -6, -3, 3, 6, 9}

This notation is used to express a set of elements that have a common property or belong to a specific category, it makes it easy to understand and to read what the set consists of.

Answer: 729

Step-by-step explanation:

3 × 3 × 3 × 3 × 3 × 3 = 729.

The perimeter of the triangle is,

⇒ P = (4x + 9)

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The figure of triangle is shown.

All the sides are,

⇒ AB = x + 1

⇒ BC = x + 3

⇒ CA = 2x + 5

Now, Remember that the perimeter is the sum of all sides of a figure, so in this case would be;

⇒ P = (x + 1) + (x + 3) + (2x + 5)

       = 4x + 9

Thus, The simplified expression of the perimeter is,

⇒ P = (4x + 9)

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Answer:

The question is incomplete, but the answer would just be 0.50 times the amount of students. Hope this helps.

Therefore , as a result, there exist four complex numbers.√3, - √3, √15 i, and - √15 i  satisfy the following complex number sequence equations.

An grouping of numbers, or "terms," is called a sequence. Examples are 2, 5, and 8. Some sequences can be made to continue indefinitely by trying to take advantage of a particular pattern that they employ. Using the example of 2,5,8, add 3 to the sequence to continue it. There are equation that can be found in a string of words that indicate where to look. A sequence in mathematics is a group of objects that are ordered in some way (or events). 

Here,

Given:

The complex plane's reflection on the real line is referred to as complex conjugation. The complex conjugation of z can be represented by either Z or z. The complex conjugate has identical real and imaginary parts, but the imaginary part has the opposite sign.

It follows from z=a+ib, in other words.

There are four complex numbers. √3, - √3, √15 i, - √15 i  satisfy the following complex number sequence equations.

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Using compound interest formula, her balance after retirement is $430797.77

To calculate the balance of Marissa's retirement account after 30 years, we need to determine how much her savings account and index fund will be worth after 30 years, taking into account the interest earned and her monthly contributions.

First, we'll calculate the balance of her savings account:

Initial deposit: $2000

Interest rate: 1.5%

Monthly contribution: $150

Number of months: 30 years * 12 months/year = 360 months

Using the compound interest formula, the balance of her savings account after 30 years will be:

2000*(1+0.015/12)^360 + 150*(((1+0.015/12)^360-1)/(0.015/12))

A = $71280.33

Next, we'll calculate the balance of her index fund:

Initial deposit: $1000

Interest rate: 6.8%

Monthly contribution: $300

Number of months: 30 years * 12 months/year = 360 months

Using the compound interest formula, the balance of her index fund after 30 years will be:

A = 1000*(1+0.068/12)^360 + 300*(((1+0.068/12)^360-1)/(0.068/12))

A = $359517.44

Then we can add the balance of both the savings account and the stock market to get the total balance of Marissa's retirement account.

Her balance = $71280.33 + $359517.44 = $430797.77

Please note that the above answer is an estimation, in reality there are other factors such as taxes, inflation, fees, and market conditions that should be considered in a real-world scenario.

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A jug has gallon of water inside it. 8 pints of water are in the jug.

What is meant by gallon?

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Answer: I agree with both of them

Step-by-step explanation:

A dozen is 12

And a dozen cost $3.00,

To get how many mini muffins they can get for$1.00= 12/3 =4 mini muffins

Andre has $2.00 =2*4=8 he can get 8 mini muffins.

Elena wants 16 mini muffins.

She'll need $4.00

=16/4= $4.00

Answer:

Area: 107.625 feet squared

Step-by-step explanation:

A = 8+13/2 (10.25)

A = 21/2 (10.25)

A = 10.5 (10.25)

A = 107.625 feet squared

Answer:

The orthocenter of a triangle is the intersection point of the three altitudes of the triangle.

An altitude of a triangle is a line that goes from one vertex of the triangle to the opposite side, and is perpendicular to that side.

To find the orthocenter of a triangle, we can find the equation of each altitude by using the slope-point form.

The slope of the altitude from vertex X to side YZ is the negative reciprocal of the slope of line YZ.

The slope of line YZ is (3 - (-5)) / (9 - 1) = 8/8 =1

So the slope of the altitude from vertex X is -1

The equation of this altitude is y = -1x + b

We know that this line passes through the point X (-3, 3) so we can substitute this point in the equation and find the value of b

3 = -1(-3) + b

b = 6

So the equation of this altitude is y = -1x + 6

The orthocenter of angle XYZ is the point that is common to all three altitudes, we can find this point by finding the intersection point of all three altitudes.

So the coordinates of the orthocenter of angle XYZ are (1, -1)

Answer: a) $10 per month b) the original runners

Step-by-step explanation: A) since runners cost $240, and you used them for a total of 2 years, which is 24 months. This means they cost 240/24 = $10 per month

b) The other pair costs $168 but you only have them for 2 months so they cost 168/2 = $84 per month which are more expensive.

Answer:

x = 76°

Step-by-step explanation:

given ∠ STR = ∠ SRT = 28°

∠ STR and ∠ STU are a linear pair and sum to 180° , that is

28° + 2x = 180° ( subtract 28° from both sides )

2x = 152° ( divide both sides by 2 )

x = 76°

Composite figures are made up of several different shapes. Calculating the combined areas of the different shapes allows one to compute the area of composite figures.

How to area of composite figures?

1. Identify all of the individual shapes and label them.

2. Calculate the area of each individual shape.

3. Add the areas together to get the total area of the composite figure.

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Answer:

Step-by-step explanation: the answer would be C because if you have 10 gallons in your car and then use the ten gallons you have 0 gallons left with combines to make 0

Answer: Option C

Step-by-step explanation:

Person below explained it well

According to the solving we can say that the given expression is equivalent to = [tex]3f^3/g^2[/tex].

Expressions that seem different but perform the same way are referred to as equivalent expressions. If two algebraic expressions were equivalent, then when we enter the same value(s) for the variable, the two expressions have the same value (s).

If two expressions could be written similarly or can be combined into a single, simpler phrase, then those two expressions are comparable. Additionally, you can tell if two expressions are equal if you substitute values for the variable in both and they get the same result.

√(900f⁶/100g⁴)

on simplifying this we get:

√(9f⁶/1g⁴)

Now removing the roots of the given expression we get:

= [tex]3f^3/g^2[/tex].

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Answer: 18 - 2 = ...

Step-by-step explanation:

Substitute 3 into n:

6 * 3 - 2

= 18 - 2

=  Solve this yourself :>

Answer: The value of 6n-2 when 4 is 3=16

Step-by-step explanation: Put value of n in the expression 6n - 2. The resulting expression will be 6(3)-2. We will multiply first and then subtract. 18-2 which equals 16.

Divide all the terms in the equation with 3.2 for resulting equation 7.9375 -x = -28.21875, and

Subtract 25.4 from each side of the equation  to write the equivalent equation as 3.2x = -115.7  

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. In this tutorial, let's study more about math equations.

The equation is

25.4 - 3.2x = - 90.3

The 1st step can be

Divide all the terms in the equation with 3.2 for resulting equation 7.9375 -x = -28.21875, and

Subtract 25.4 from each side of the equation  to write the equivalent equation as 3.2x = -115.7  

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The probability of the book picking at random is a novel or a dictionary is 1/8.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Bookshelf:

5 cookbooks, 4 novels, 6 picture books, and 1 dictionary.

Total number of books = 5 + 4 + 6 + 1 = 16

The probability of picking a novel.

= 1/16

The probability of picking a dictionary.

= 1/16

The probability of the book picking at random is a novel or a dictionary.

= 1/16 + 1/16
= 2/16

= 1/8

Thus,

The probability is 1/18.

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To solve this problem, we need to know how much red paint Priya has. This information is not on the data card, so we need to know the amount of red paint Priya has in order to solve the problem.

Amount is a numerical value that can refer to the quantity of a particular item or resource. It can also refer to the sum of money due or owed for a product or service. In the context of mathematics, amount is often used to refer to a quantity, a measure, or a total. Amount can also be used to refer to the total value of a particular asset, such as a bank account or the total number of shares of a particular stock.

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A teacher, she is measuring the height of students, She gets data from 500 students, the visual displays is most appropriate is, Bar chart. So option A is correct.

Statistics is a process in which we collect, interpret, study and understand the data. We took a small sample from the large quantity and then we did study of the sample then according to results, we did our predictions for events which can happen in future.

Given that,

A teacher is measuring the height of students at her high school

She gets data from 500 students at her high school

Most appropriate visual displays by,

The bar graph,

because it will show result,

In rectangular columns and vertical height can represent the number of students,

Different  columns can represent the range of height

Hence, the appropriate choice is Bar chart

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Answer:

Choice B

(0.75) (0.90) (126)

Step-by-step explanation:

Original price of coat = $126

First note that
          25% ≡ 0.25 in decimal
           10% ≡ 0.10  in decimal

If she gets 25% off then the discount is 0.25(126)

The coat would then cost her 126-(0.25)(126) = 126(1-0.25) = (0.75)126

(In general if there is  a discount of d% where r = d/100 on sale price of S then the new price would be S(1-r))

On this discounted price she gets an additional 10%(0.10) off.

This means the already discounted price is reduced to 0.9 of its value

So the final discounted price is (0.90[126(0.75]

or (0.90)(0.75)(126)

which can be rewritten as

(0.75) (0.90) (126)

and corresponds to choice B

The other choices can be eliminated easily

A. Here the 10% discount is applied to the original price 126 not the discounted price

C. This is the total discount not the final price

D. This is attempting to find the final price but again the discount of 10% is being applied to 126

E. Does not make any sense. 0.25 x 0.10 = 0.025 and 126 - 0.025 = $125.975 which is practically no discount

Therefore , the solution of the given problem of quadrilateral comes out to be A.5 , B.2/3, C.-1/5 and D.2/3 .

A quadrilateral in geometry is a four-sided object with four corners and four corners. The term derives from the Latin terms quadri or latus (meaning "side"). Rectangles are two-dimensional shapes that have four corners, four corners, and four corners. There are essentially two types of concave and convex.

Here,

Given that

A(-4, -5), B(-3, 0), C(0, 2), and D are the quadrilateral ABCD's vertices (5, 1).

If ABCD is a trapezoidal or not is what we must ascertain.

We are aware that a trapezoidal is a quadrilateral by one set of parallel opposed sides. Furthermore, two parallel lines have equal slopes.

The slopes of sides AB, BC, CD, and DA will first be determined.

Ours has

The gradient for

AB =0+5/ -3+4

=>5/1 => 5, in step 1.

Step 2: BC's slope is

=> 2-0 / 0+3

=> 2/3.

Step 3: The gradient of CD is

=> 1-2 / 5-0, which equals -1/5.

Step 4: The gradient of DA is equal to

=>-5.1/-4.4/2.3

=>2/3.

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Julie went to the post office to buy 90 stamps and 40 postcards

An equation shows the relationship between numbers and variables in an expression.

Let x represent the number of stamps and y represent the postcards.

Julie went to the post office and bought both $0.41 stamps and $0.26 postcards for her office's bills. She spent $47.30, hence:

0.41x + 0.26y = 47.30    (1)

Also, The number of stamps was 10 more than twice the number of postcards:

x = 10 + 2y

x - 2y = 10   (2)

From both equations:

x = 90, y = 40

90 stamps and 40 postcards were bought

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Using substitution method to solve the system of linear equations, Brandy took care of 280 children and Adriana took care of 40 children.

A word problem is a type of mathematical problem that is presented in a natural language text, rather than in mathematical notation. These problems are designed to test a person's ability to understand and apply mathematical concepts and skills to real-world situations. They often involve describing a scenario, such as a situation involving money, time, or measurements, and then asking a question or series of questions about the scenario.

In this problem, we need to write equations to set up the variables.

a)

Let;

b)

x + y = 320 ...eq(i)

x = 7y ..eq(ii)

c)

Put equation (ii) into equation (i)

7y + y = 320

8y = 320

y = 40

Put y = 40 in equation (ii)

x = 7(40)

x = 280

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The trebuchet projectile will reach 80 feet at 1.094 s later.

The height of the projectile at any given time "t" can be described by the function h(t) = -16t² + vt + h0, where h0 is the initial height and v is the initial velocity. In this case, h0 = 0 (the launch point) and v = 35 ft/s. So, the height function is h(t) = -16t² + 35t.

To find when the projectile first reaches 80 feet, solve the equation h(t) = 80. Plugging in the height function:

-16t² + 35t = 80

Solving for t:

-16t² + 35t - 80 = 0

This is a quadratic equation and can be solved using the quadratic formula or factoring. The two solutions are:

t = 4.069 s or t = -8.848 s

The negative solution is extraneous, as the time can't be negative. So, the first time the projectile reaches 80 ft is 4.069 s after launch.

To find when the projectile reaches 80 ft again, simply fill in the height and the velocity into the height function and solve for t. However, since the height function is a parabolic function, the projectile will reach the same height again at the maximum height, which is half of the time it takes for the projectile to reach its highest point.

Since the maximum height is reached at t = v/g = 35/(-16) = 2.188 s, the projectile will reach 80 ft again 2.188 s/2 = 1.094 s later.

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The lateral surface area and total surface area of the given triangular prism are 252cm² and 348 cm² respectively.

The entirety of an object's sides, excluding its base and top, are referred to as the lateral surface. The size of the lateral surface is referred to as the lateral surface area. The total surface area, which includes the lateral surface area as well as the areas at the base and top, should be distinguished from this.

Total surface area of this prism = 3 × l × b + 2 × h × b

= 3 × 14 × 6 + 2 × 8 × 6

= 348 cm²

And lateral surface area =  3 × l × b

= 3 × 14 × 6

= 252cm²

Thus, the lateral surface area and total surface area of the given triangular prism are 252cm² and 348 cm² respectively.

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The percentage increase of Tawny Eagles 39 % during the research is higher than the African Fish Eagle 34 %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage error is the difference between the measured value and the true value , as a percentage of the true value

Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100

Given data ,

Let the percentage increase of African Fish Eagle be represented as P

Let the percentage increase of Tawny Eagles be represented as Q

The initial population of African Fish Eagle = 32,800

The final population of African Fish Eagle = 43,952

The percentage increase in population = [( 43952 - 32800 ) / 32800] x 100

On simplifying the equation , we get

The percentage increase in population P = 0.34 x 100 = 34 %

And ,

The initial population of Tawny Eagles = 7,900

The final population of Tawny Eagles = 10,981

The percentage increase in population = [( 10,981 - 7,900) / 7,900 ] x 100

On simplifying the equation , we get

The percentage increase in population Q = 0.39 x 100 = 39 %

Hence , the percentage increase of population of Tawny Eagles is higher

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