Combine like terms. (6x+5) + (8y + 9x)+(-3 - 3y) (6x + 5) + (8y + 9x) +(-3 - 3y) = Q​

Answer: 8 hours

Step-by-step explanation:  240 mph ÷ 30 = 8 hours

This means that gcd(a, m) is a subset of gcd(b, m) (since any common divisor of a and m is also a common divisor of b and m), and similarly, gcd(b, m) is a subset of gcd(a, m). Therefore, gcd(a, m) = gcd(b, m).

To show that gcd(a, m) = gcd(b, m) when a ≡ b (mod m) and m ≥ 2, we can use the fact that if d divides both a and m, then it also divides b (since a ≡ b (mod m) implies that m divides a-b).
So, let's start by letting d be a common divisor of a and m, and let's show that it is also a common divisor of b and m. Since d divides a and m, we can write a = kd and m = ld for some integers k and l. Then, we have:
b ≡ a (mod m)  (by the definition of congruence)
b ≡ kd (mod ld)  (substituting a = kd and m = ld)
b = jd  (where j = k mod l, since ld divides kd and hence j is an integer)
Therefore, we have shown that if d divides both a and m, then it also divides b and m.

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Answer:

D

Step-by-step explanation:

Remember that the sum of the interior angles of a triangle will always total 180.

Therefore:

\((9x+6)+(74)+(16x)=180\\\)

Let’s solve for x:

Combine LIke Terms:

\((9x+16x)+(74+6)=180\)

Add:

\(25x+80=180\)

Subtract 80 from both sides:

\(25x=100\)

Divide both sides by 25:

\(x=4\)

Therefore, the value of x is 4.

Now, to find A, we can substitute it for A.

A is measured by:

\(\angle A=9x+6\)

Substitute 4 for x and evaluate:

\(\angle A=9(4)+6=36+6=42\textdegree\)

Hence, our answer is D.

Answer:

Step-by-step explanation:

poop

Answer:

24 cm

Step-by-step explanation:

Perimeter = (sx2) + (sx2)

= (6x2) + (6x2)

= 12 + 12

= 24 cm

Answer:

24cm

Step-by-step explanation:

Answer:

186%

Step-by-step explanation:

Looking at the squares, we can see that the first one has been completely shaded. That means that it is 100% shaded.

The second square has 86 out of 100 squares shaded, so that means that it is 86% filled.

Therefore 186% is filled by the shaded area.

Answer:

B. f(x) = 4 – x

Step-by-step explanation:

Answer:

b. f(x) = 4 -- X Amadodcnfnfkdi

Answer:

Welcome to Brainly! I saw that this was your very first question. I will gladly assist you with your problem. (see explanation).

Step-by-step explanation:

The calculation of the estimated damaged items in the situation where 23,025 capacitors were produced is displayed below:

(5 times 23,025 capacitors) / (1,535 capacitors)

= 75

Therefore, when 23,025 capacitors are produced, 75 damaged products are expected.

Hope this helped!)

The required answer is he equilibrium price will be $8, and the equilibrium quantity will be 320 units.

After the introduction of the new desalination technology, the market supply curve will shift to the right, since firms will be able to produce more water at a lower cost. The new supply curve will be given by:

! = 5P + (8 * quantity) - 5

This is because the cost of producing each unit of water has now increased by $8, but the supply function remains the same.  specifically general equilibrium theory, a perfect market, also known as an atomistic market, is defined by several idealizing conditions, collectively called perfect competition, or atomistic competition. In theoretical models where conditions of perfect competition hold, it has been demonstrated that a market will reach an equilibrium in which the quantity supplied for every product or service, including labor, equals the quantity demanded at the current price

To find the equilibrium price and quantity, we need to set the new supply curve equal to the demand curve:

400 - 10P = 5P + (8 * quantity) - 5

Simplifying and solving for P:

15P = 405 + 8Q

P = 27 + (8/15)Q

Next, we substitute this expression for P into either the demand or supply curve and solve for Q. Let's use the demand curve:

400 - 10(27 + (8/15)Q) = Q + 5

Simplifying:

Q = 60

Therefore, the equilibrium quantity is 60 units of water, and the equilibrium price can be found by plugging this quantity into the expression for P:

P = 27 + (8/15)(60) = $43.20
So the equilibrium price is $43.20 per unit of water.

To find the market supply curve after the introduction of the new desalination technology and the equilibrium price and quantity, follow these steps:

Step 1: Determine the new supply curve.
Since the desalination technology allows for unlimited water production at a cost of $8, the new supply curve will be a horizontal line at P = $8. This is because suppliers will be willing to supply any quantity of water at that price.
Step 2: Find the new equilibrium price and quantity.

To find the new equilibrium, we need to determine where the new supply curve intersects the demand curve. The demand curve is given by Qd = 400 - 10P. To find the intersection, set the price P equal to $8 in the demand equation:

Qd = 400 - 10(8)
Qd = 400 - 80
Qd = 320

So, at the equilibrium price of $8, the quantity demanded is 320 units.

In conclusion, the market supply curve after the introduction of the new desalination technology will be a horizontal line at P = $8. The equilibrium price will be $8, and the equilibrium quantity will be 320 units.

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Step-by-step explanation:

They are equal .....

   a transveral across two parallel lines creates equal alternate interior angles

The calculated solution for the ratio given as a : b : c is 1/3 : 1/4 : 1/5

From the question, we have the following parameters that can be used in our computation:

1/a : 1/b : 1/c = 3 : 4 : 5

Take the inverse of both sides

So, we have

a : b : c = 1/3 : 1/4 : 1/5

The above means that the solution for a : b : c is 1/3 : 1/4 : 1/5

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\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$100000\\ r=rate\to 4.2\%\to \frac{4.2}{100}\dotfill &0.042\\ t=years\dotfill &6 \end{cases} \\\\\\ A = 100000e^{0.042\cdot 6} \implies A = 100000e^{0.252}\implies A \approx 128659.60\)

Answer:

x> 1

Step-by-step explanation:

X-7>-6

Add 7 to each side

X-7+7>-6+7

x> 1

The radius of the cone is 783.84/√h

A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cone is expressed as;

V = 1/3πr²h

643072 × 3 = 3.14 × r²h

r²h = 614400

r² = 614400/h

r = 783.84/√h

therefore the radius of the cone is 783.84/√h

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Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Work Shown:

804/d = 6/4

804*4 = 6d

3216 = 6d

6d = 3216

d = 3216/6

d = 536

Answer:

1,100 ounces because 20 × 30 + 10 × 50 = 1,100

Step-by-step explanation:

Using fractions, it is found that \(\frac{43}{45}\) of a wheel still needs to be painted.

The total fraction that still has to be painted is:

\(\frac{5}{9} + \frac{2}{5} = \frac{25 + 18}{45} = \frac{43}{45}\)

\(\frac{43}{45}\) of a wheel still needs to be painted.

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Answer:

b 1 \(\frac{11}{30}\)

Step-by-step explanation:

C = 2 Pi R = 220

R = 220 / 2 pi = 35 cm

diameter = 35 x 2 = 70 cm

Area = pi r² = pi 35² = 3848.45 cm

Answer:

36

Step-by-step explanation:

Answer:

1% of 440 is 4.4

Step-by-step explanation:

440 x .01 = 4.4

The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

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Consecuencia de 5^3 - 3 √(375 ÷ 3) + (7 + 2)^2 - 9^11 ÷ 9^9 es 91.46.

Potencias es una operación matemática para la multiplicación repetida de un número tanto como el rango. El rango de un número es un número que se escribe más pequeño y se ubica ligeramente hacia arriba. Basado en la semántica de escribir letras se llama superíndice, por ejemplo: 2², 3², 4³ y otros. En inglés, el exponencial se llama "potencia" o "exponente".

5³=125

3√(375:3) =3√125=3√5³= 3.5^3/2

(7+2) ²=9²=81

9¹¹÷9^9=9²=81

5³ - 3 √(375 ÷ 3) + (7 + 2)² - 9¹¹ ÷ 9^9= 5³-3.5^3/2+81-81 =125-3√125=125-(3(11.18) = 125- 33.54=91.46

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The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six is 1.5 to the eighteenth power over 1.3 to the twenty-fourth power.

Here are the steps to simplify the expression:

Apply the negative power rule: (1.5 cubed over 1.3 raised to the fourth power) raised to the power of negative six is equal to (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six.

Apply the power of a quotient rule: (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six is equal to (1.3 raised to the fourth power)⁶ / (1.5 cubed)⁶.

Apply the power of a power rule: (1.3 raised to the fourth power)⁶ is equal to 1.3(⁴*⁶) = 1.3²⁴.

Apply the power of a power rule: (1.5 cubed)⁶ is equal to 1.5(³*⁶) = 1.5¹⁸.

Therefore, the equivalent expression is 1.5¹⁸ / 1.3²⁴.

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Answer:

There are 68,640 different ways the runners can finish first, second, and third in the race.

Concept of Permutations

The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.

Brief Overview

Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.

Calculations

To calculate the total number of different ways, we multiply the number of choices for each position:

42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.

Concluding Sentence

Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.

Yes, if is a critical point of a function with continuous second derivatives, then it is a stationary point.

This means that the function's derivative is equal to 0 at that point and it is neither increasing or decreasing.

A stationary point is a point on the graph of a function where the function's derivative is equal to 0. This is an important property of a function and it can be used to determine the properties of the function.

At a stationary point, the rate of change of the function is equal to 0, so the function is neither increasing or decreasing. In other words, the function is neither increasing or decreasing at that point.

This property can be used to analyze the function and determine its characteristics. For example, it can be used to identify local minima or maxima.

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Answer:

x+=(y)=x

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

y = (x - 7)^2 – 3

This equation is in vertex form

y = a(x-h)^2 +k  where (h,k) is the vertex.  For a vertical parabola, the axis of symmetry is x=h

x = 7

The ratios of the trigonometry are identical, cos x = 9 / 15 and sin y = 9  / 15.

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the angles in the right triangle can be found using trigonometric ratios.

Hence,

sin y = opposite / hypotenuse

sin y = 9 / 15

cos x = adjacent / hypotenuse

cos x = 9 / 15

Therefore, the ratios are both identical(9 / 15 and 9 / 15)

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Answer:

4

Step-by-step explanation:

32/2=16  16/2=8  8/2=4

12) There were about 557 principals in attendance. 13) Option A: The college will have about 480 students who prefer cookies. 14) Option C: bar graph, title favorite sport and the x axis labeled sport and the y axis.

The relationship between two quantities that are measured on the same scale and in the same units is known as a percentage. The relative size or magnitude of one thing in comparison to another is represented by proportions, which are frequently stated as ratios, fractions, or percentages. For instance, if there are 8 girls and 12 boys in a class, the girl-to-boy ratio is 8:12, or 2:3, which indicates that there are 3 guys for every 2 girls. Statistics, geometry, and physics are just a few of the mathematical and scientific disciplines that use proportions. Proportions are frequently used in statistics to describe the distribution of a population or a sample.

12) For the number of principals in conference we set up a proportionality with total people as follows:

We know that, 52 principals out of 70 people thus:

52/70 = x/750

Now,

x = (52/70) * 750

x = 557.14

Hence, we can predict that there were about 557 principals in attendance at the conference.

13) Given that, out of 225 students 27 prefer cookies thus,

27/225 = 0.12

That is 12% students like cookies.

Now, for the total number of students we have:

0.12 * 4000 = 480

Thus, option A: The college will have about 480 students who prefer cookies.

14) For the collected data the best representation is option C: bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44.

15) For the given description of the line plot the median is:

For Bus 47 = 16

For Bus 18 = 13

The faster bus is Bus 47, with a median of 16.

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