Martin Fernandez necesita construir
canaletas para el techo de su casa por las
inminentes lluvias que el Senamhi (Servicio
Nacional de Meteorologia e Hidrologia del
Peru) ha pronosticado. Para ello, cuenta con
planchas de 300 cm de largo por 16 cm de
ancho con recubrimiento de sinc. que las
hace resistentes a la acción corrosiva del
medioambiente. Para concretar su proyecto.
basta con doblar hacia arriba algunos
centimetros a cada lado, como se muestra
en la figura​

90/-10

= 9/-1

= -9

So, -9 is the quotient.

A catering business must generate $611,473 in sales to make a 10 percent profit, which is also the break-even point for this operation.

To determine the sales needed to make a 10 percent profit and the break-even point for the catering business, we can utilize the concept of contribution margin.

The contribution margin is the amount remaining from sales revenue after deducting variable costs.

Let's denote the sales needed to make a 10 percent profit as "S."

The contribution margin can be calculated by subtracting the variable operating costs from the sales revenue.

In this case, the variable operating costs are $245,650.

Therefore, the contribution margin is S - $245,650.

To calculate the break-even point, we need to consider the point at which the business neither makes a profit nor incurs a loss.

At the break-even point, the total revenue generated will exactly cover both the variable and fixed costs.

The fixed operating costs are given as $365,823.

Thus, the equation for the break-even point can be expressed as:

S - $245,650 - $365,823 = 0.

By rearranging the equation, we find:

S = $245,650 + $365,823

S = $611,473

Therefore, the catering business needs to generate $611,473 in sales to make a 10 percent profit.

This amount will also be the break-even point, as it covers all the variable and fixed costs without resulting in a profit or loss.

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The vaIue οf x rοunded tο the nearest tenth is 21.

TriangIe can be defined in which it cοnsists οf three sides, three angIes and sum οf three angIes is aIways 180 degrees.

Tο sοIve fοr x, we can use the Pythagοrean theοrem, which states that in a right triangIe, the square οf the hypοtenuse (the side οppοsite the right angIe) is equaI tο the sum οf the squares οf the οther twο sides.

In this case, we have a right triangIe where the hypοtenuse is 35 and οne οf the Iegs is x. The οther Ieg is nοt IabeIed, but we can caII it y. Then, we have:

\(35^2 = x*x + y*y\)

We aIsο knοw that y = 12 + 16 = 28, since it is the sum οf the twο IabeIed sides.

Substituting y = 28 intο the equatiοn, we have:

\(35^2 = x*x + 28*28\)

SimpIifying:

1225 = x*x + 784

Subtracting 784 frοm bοth sides:

441 = x*x

Taking the square rοοt οf bοth sides (since x must be pοsitive in a triangIe):

x = √441

x = 21

Therefοre, the vaIue οf x rοunded tο the nearest tenth is 21.

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The polynomial 11x⁵  + x⁴ - 4x³ - 5x² + 8 denotes the expression P - Q. The correct option is option A.

What is an expression?

A mathematical expression is a phrase that contains a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: Expression is (Math Operator, Number/Variable, Number/Variable)

Given polynomials are:

P = 11x⁵  + 9x⁴ - 4x³ - 7x² + 5

Q = (2x² + 1) (4x² - 3)

Simplify the polynomial Q = (2x² + 1) (4x² - 3):

Q = (2x² + 1) (4x² - 3)

Q = 2x²(4x² - 3) + 1(4x² - 3)

Q = 8x⁴ - 6x² + 4x² - 3

Add like terms:

Q = 8x⁴ - 2x² - 3

Now calculate P + Q

P + Q = 11x⁵  + 9x⁴ - 4x³ - 7x² + 5 + 8x⁴ - 2x² - 3

Combine like terms:

P + Q = 11x⁵ + (9x⁴ + 8x⁴) - 4x³  + (- 7x² - 2x²) + 5 - 3

P + Q = 11x⁵ + 17x⁴ - 4x³ - 9x² + 2

Now calculate P - Q

P - Q = 11x⁵  + 9x⁴ - 4x³ - 7x² + 5 - (8x⁴ - 2x² - 3)

P - Q = 11x⁵  + 9x⁴ - 4x³ - 7x² + 5 - 8x⁴ + 2x² + 3

P - Q = 11x⁵  + (9x⁴ - 8x⁴) - 4x³ + (-7x² + 2x² )+ (5 + 3)

P - Q = 11x⁵  + x⁴ - 4x³ - 5x² + 8

Now calculate Q - P

Q - P =  8x⁴ - 2x² - 3 - (11x⁵  + 9x⁴ - 4x³ - 7x² + 5)

Q - P =  8x⁴ - 2x² - 3 - 11x⁵  - 9x⁴ + 4x³ + 7x² - 5

Combine like terms:

Q - P = - 11x⁵ + (8x⁴ - 9x⁴) + 4x³ + (- 2x² + 7x²) - 3 - 5

Q - P = - 11x⁵- x⁴ + 4x³ + 5x² - 8

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Answer:

Yes

Step-by-step explanation:

Let's calculate the resistance of one inch for our wire and compare it with the maximum:

20250 / 25 = 810 Ohm

810 < 840 ? Yes!

Yes, this is within the acceptable limit. Wire can be used.

Answer:

\(\frac{ 5 \sqrt3 \ + \ 5 \sqrt2 \ - \ \sqrt6 \ - \ 2}{23}\)

Step-by-step explanation:

\(\frac{\sqrt3 \ + \ \sqrt2 }{5 \ + \ \sqrt2 } \\\\=\frac{\sqrt3 \ + \ \sqrt2 }{5 \ + \ \sqrt2 } \times \frac{5 \ - \ \sqrt2 }{5 \ - \ \sqrt2 } \\\\=\frac{( \sqrt3 \ + \ \sqrt2)(5 \ - \ \sqrt2)}{(5 \ + \ \sqrt2)( 5 \ - \ \sqrt 2 )}\\\\=\frac{( \sqrt3 \ + \ \sqrt2)(5 \ - \ \sqrt2)}{(5 \ + \ \sqrt2)( 5 \ - \ \sqrt 2 )}\\\\=\frac{5 \sqrt3 \ + \ 5\sqrt 2 \ - \ \sqrt{ 3\times 2 } \ - \ \sqrt{2 \times 2}}{(5)^2 \ - \ (\sqrt2)^2}\\\\= \frac{ 5 \sqrt3 \ + \ 5 \sqrt2 \ - \ \sqrt6 \ - \ 2}{25 - 2}\\\\\)

\(= \frac{ 5 \sqrt3 \ + \ 5 \sqrt2 \ - \ \sqrt6 \ - \ 2}{23}\)

Answer:

The equivalent expression is;

Explanation:

Given the expression;

Recall that the product of two negative gives a product;

So, the expression becomes;

Therefore, the equivalent expression is;

Answer:

Step-by-step explanation:

Let the number of games be x

Inequality:

Since there should be more than 0 left, another inequality for it:

So 13 < x < 15, which leaves us with 14

A Reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.

The function f(x) = -|x| − 3 can be graphed by following these steps:

Therefore, the correct graph is an option (D). The graph of the option (D) shows a reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.

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16 quarts is equal to 4 gallons.

The correct option is C.

To convert quarts to gallons, we divide the number of quarts by 4 (since there are 4 quarts in a gallon).

Given that we have 16 quarts, we can calculate:

16 quarts / 4 quarts/gallon

= 4 gallons

Therefore, 16 quarts is equal to 4 gallons.

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9514 1404 393

Answer:

  y = 3x

Step-by-step explanation:

A proportional relation has the equation ...

  y = kx

To write the desired equation, you need to know the value of k. That can be found from the given information:

  for x = 2, y = 6

  6 = k·2

  3 = k . . . . divide by 2

Now, we know the equation can be written ...

  y = 3x

The given system is

First, we multiply the first equation by -3/10.

Then, we sum the equations

THe value of the expression using BODMAS rule is 26

The abbreviation BODMAS, which stands for "Brackets, Order of powers or roots, Division, and Multiplication," is followed by the BODMAS rule. A stands for addition and S for subtraction. According to the BODMAS rule, multi-step mathematical statements must be solved in the BODMAS order from left to right.

The order of operations, or BODMAS, is a method for carrying out operations in an arithmetic statement. Math is all about logic, and there are several established laws that help us with our calculations. BODMAS is one of the established rules for consolidating multiple operator expressions.

An expression or equation in mathematics has two parts:

A character known as an operator joins two integers to form an expression or equation. The four most often used operators in mathematics are addition (+), subtraction (-), multiplication (*), and division (*/*). Finding the solution to mathematical statements or equations with just one operator is usually rather easy.

The expression is 14 + 2 + 3(4) - (6-1-3) = 14 + 2 + 12 - 2 = 26

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Based on the information we can infer that 5/8 between 6 people is equal to 15/24.

To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.

5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder

So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:

(5/4) x 6 = 30/4 = 15/2 = 15/24

So each person would receive 15/24 of the original amount.

Note: Here is the question in English:

5/8 divided in 6 people

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The bird covered 34 metres of vertical space overall. Warm-blooded, feathery animals with the ability to fly are known as birds.

The bird soared 15 m above the water, dove 2 m vertically, and descended to a depth of the water that was 15 + 2 = 17 m below its starting height. The bird must fly 17 m vertically upwards in order to cover the same distance in the other direction in order to return to its starting height.

Consequently, the bird travelled a total vertical distance of 34 metres (17 metres when diving and 17 metres while returning to its starting height).

Hence, the bird covered 34 metres of vertical space overall.

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Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Answer:

179 R1

Step-by-step explanation:

(a) Glen Cove's current population is 5,000.

In order to determine Glen Cove's current population, we must calculate P(0) because P(t) provides the population (in thousands) for t years in the future. In other words,

P(0) = (35(0)2 + 125(0) + 200) / (02 + 4(0) + 40)

      = 200 / 40

      = 5.

Since P(t) yields the population in thousands, Glen Cove's current population is 5,000.

(b) The population in the long run (as t approaches infinity) is 35,000.

As t approaches infinity, we must discover the limit of P(t) in order to determine the population over the long term. To do this, we can divide the function's numerator and denominator by t2, which results in the formula: P(t) = (35 + 125/t + 200/t2) / (1 + 4/t + 40/t2).

The terms 125/t and 200/t2 get smaller and smaller as t increases, so we can ignore them in the numerator. We can therefore disregard the terms 4/t and 40/t2 because they also degenerate in the denominator to lower and smaller values. Thus, we are left with:

P(t) ≈ 35/1 \s = 35

Since P(t) represents the population in thousands, the population in the long run (as t approaches infinity) is 35,000.

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Answer:

No

Step-by-step explanation:

y = -2x + 1

(-11) = -2(5) +1  \  Plug-in the values from the point given

-11 = -10 + 1  \  Reduce

-11 = -9 \ Simplify

-11 ≠ -9  \ Determine the valididity

Answer:

$3 more expensive in store A

Step-by-step explanation:

3 x 10= $30

1.80 x 15= $27

$30-$27=$3

Answer:

C

Step-by-step explanation:

There are 3 numbers greater than 3 and 3 more numbers less than 3. So 3/6.

Perimeter of the parallelogram = 210 in.

Area of parallelogram = 2,484 in.²

Perimeter of parallelogram = 2(a + b), where a and b are its sides.

Area of parallelogram = (b)(h), where h is its height and b is the length of one of its bases.

Given:

a = 51 in.

b = 54 in.

h = 46 in.

Perimeter of the parallelogram = 2(54 + 51) = 210 in.

Area of parallelogram = (b)(h) = (54)(46) = 2,484 in.²

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Answer:

Step-by-step explanation:12x2 + 3x + 6 + (-7)x2 - 4x - 2 = 0

12•x•2 + 3•x + 6 + (-7)•x•2 - 4•x - 2 = 0

9x = -4

x = -4/

9

≈ -0.444444

Answer:

1st one is true, 2nd is true and 3rd is false

Step-by-step explanation:

Answer:

Step-by-step explanation:

Attached each inequality separately and the solution showing the intersection below.

y > -1/3x + 2

x < 4

Answer:

Beginning Balance; Interest Payment; Principal Payment

$7,000.00                            $17.50              $283.37

Step-by-step explanation:

i hope this help

Answer:

2. -2> -7 ...............

Answer:

Each raffle ticket costs $5.50.

Step-by-step explanation:

☆We can use proportion to solve this!

\( \frac{22 \: dollars}{4 \: tickets} = \frac{x}{1 \: ticket} \\ \\ \frac{4x}{4} = \frac{22}{4} \\ \\ x = 5.5\)