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Answer:

12 - 0 = 12.

Step-by-step explanation:

If you substitute all x values for 0, then you get 12 - 8(0) = 3(0+4). Combine like terms and you will arrive at 12 - 0 = 3(4). Which then goes to 12 - 0 = 12. Since 0 has no value, just remove it from the equation. You are left with 12 = 12.

Answer:

it is x= 0

Step-by-step explanation:

you distribute the numbers in the parentheses first so your new equation would be 12 - 8x = 3x + 12 (basically multiply 3 by what was in the parentheses)

then cancel equal terms so 12 - 8x = 3x + 12 becomes -8x = 3x

after that move the variable and the 3 to the left while changing the sign from + to - (the + sign is implied since it's a positive number) your new equation becomes -8x - 3x = 0

next collect like terms so the numbers with the same variable meaning subtract -8x - 3x also known as -8x + -3x creating the equation -11x =0

finally divide both sides of the equation -11x = 0 by -11 creating x=0

The value of x = 11√3 and y = 22

What is Trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is used to solve problems involving angles and distances in various fields such as physics, engineering, and architecture.

We will use Trigonometric Ratios to calculate the value of x and y

tan 30 = 11/x

1/√3 = 11/x

x = 11√3

sin 30 = 11/y

1/2 = 11/y

y = 22

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Answer:

  5x -y ≥ 2

Step-by-step explanation:

The slope of the boundary line is positive, so the x- and y-coefficients will have opposite signs when the equation is written in standard form (eliminates choices A, B).

The graph is shaded for x-values greater than those on the boundary line, so the form of the desired equation will be ...

  ax -by ≥ c . . . . . for some positive values of a, b, c

This eliminates choice C and indicates the correct choice is the last one:

  5x -y ≥ 2

Answer:

The value of 3 is in the three-hundred thousands place

300,000

Explanation

We are required to determine the speed at which the tsunami that started with an earthquake in Sumatra struck Sri Lanka about 1550 km away.

The formula given is:

Therefore, we have:

Hence, the answer is:

Answer:

22.5miles

Step-by-step explanation:

For Map 1;

1 inches = 30miles

For Map 2:

2 inches = 15miles

1 inches = x

2x = 1 *15

x = 15/2

x = 7.5miles

This means that 1 inch represents 7.5miles on Map 2'

The distance between the two cities in miles = 30miles - 7.5miles

The distance between the two cities (in miles) = 22.5miles

Given:

The figure of a triangle.

To find:

The measure of angle 1.

Solution:

Exterior angle theorem: In a triangle, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.

Using Exterior angle theorem, we get

\(101^\circ =31^\circ +m\angle 1\)

\(101^\circ -31^\circ =m\angle 1\)

\(70^\circ =m\angle 1\)

Therefore, the measure of angle 1 is 70 degrees.

Answer:

1/9

Step-by-step explanation:

2/3 x 1/6 = 2/18 or 1/9

Answer:

look

Step-by-step explanation:

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Answer: here are my answers.

Step-by-step explanation: Here are some brief answers to your questions:

1. The appearance of God is a matter of personal belief and varies across different religions and cultures.

2. This question is still debated by scientists and philosophers, and there is no clear answer. It is thought that the egg came first, as the evolution of birds and egg-laying animals predates the existence of chickens.

3. Views on what happens after death also vary across different religions and cultures. Some believe in an afterlife, while others do not.

4. Black holes are extremely dense regions in space where gravity is so strong that nothing, not even light, can escape.

5. Water is wet because it has a high surface tension, which allows it to adhere to other surfaces and create a thin film of water.

6. People die due to a variety of factors, including disease, injury, and aging.

7. The origin of the world is a complex question that has been studied by scientists, philosophers, and theologians for centuries. The most widely accepted scientific theory is the Big Bang theory, which suggests that the universe began with a massive explosion approximately 13.8 billion years ago.

8. Babies are formed through the fertilization of an egg by sperm, which occurs during sexual intercourse.

9. The sea is salty due to the presence of dissolved salts and minerals, which come from the weathering of rocks and volcanic activity.

10. The moon is sometimes visible during the day because its orbit around the Earth causes it to appear in different parts of the sky at different times.

11. The internet is a global network of interconnected computers and servers that communicate with each other using standardized protocols.

12. The sky appears blue because of the scattering of sunlight by the gases and particles in the Earth's atmosphere.

13. Wind is caused by differences in air pressure, which are created by variations in temperature, humidity, and other factors.

14. A leap year is a year that contains an extra day (February 29) to keep the calendar year synchronized with the astronomical year, which is approximately 365.25 days long.

15. The Earth spins on its axis due to the conservation of angular momentum from the formation of the solar system.

16. Blood is red because it contains hemoglobin, a protein that binds to oxygen and gives blood its characteristic color.

17. Infinity is a mathematical concept that represents a quantity that is larger than any finite number.

18. The Earth has a diameter of approximately 12,742 kilometers (7,918 miles) and a circumference of approximately 40,075 kilometers (24,901 miles).

19. The sky appears to be above us because the Earth's gravitational field holds the atmosphere in place around the planet.

20. Cutting onions releases a gas called syn-propanethial-S-oxide, which irritates the eyes and causes them to produce tears.

21. Planes fly by generating lift from their wings, which is created by the flow of air over the curved surface of the wing.

22. Telephones work by converting sound waves into electrical signals, which are transmitted over a network of wires or wireless connections.

23. Television works by transmitting images and sound over electromagnetic waves, which are received by a receiver and displayed on a screen.

24. Whether a person is right or left-handed is determined by the dominant hemisphere of their brain.

25. Electricity is a form of energy caused by the movement of electrons through a conductor.

26. Clouds float because they are made up of tiny water droplets or ice crystals that are lighter than the surrounding air.

27. Cars work by converting the energy stored in fuel into motion through a series of processes, including combustion, transmission, and propulsion.

28. The sun and moon appear to stay in the sky due to their position relative to the Earth's rotation and orbit.

29. The color of a person's eyes is determined by the amount and type of pigments in the iris.

30. Lightning is caused by the buildup and discharge of electrical energy in the atmosphere, typically between a cloud and the ground or between two clouds.

Answer:

The median is $490.

Step-by-step explanation:

To find the median you need to order the numbers from least to greatest. Then you need to find the middle number. In this example there were two middle numbers, 470 and 510. When you find the number in between those you get 490. I hope this helps!

Answer:

-30

Step-by-step explanation:

f(x) = 3 so f(-8) = 3;

g(x) = 5x + 7, so g(-8) = 5(-8) + 7 = -33

Then (f + g)(-8) = 3 - 33 = -30

This is the sum of two functions both evaluated at x = -8.

Answer:

\(y=-2x+12\)

Step-by-step explanation:

We can use the point-slope form given by:

\(y-y_1=m(x-x_1)\)

Where m is the slope and (x₁, y₁) is a point.

So, we will substitute -2 for m and (5, 2) for (x₁, y₁). This gives us:

\(y-(2)=-2(x-(5))\)

Simplify:

\(y-2=-2(x-5)\)

Distribute:

\(y-2=-2x+10\)

Add 2 to both sides. Hence, our equation is:

\(y=-2x+12\)

Answer:

1) A'(8, -10)

B'(10, -8)

C'(2, -4)

2) A''(8, -4)

B''(10, -6)

C''(10, -10)

Step-by-step explanation:

1) For reflection across the line y = -1, given that the lowest point is of ABC which is point C with coordinates (2, 2), we have;

The vertical distance from the point C to the line y = -1 is 3 units down, therefore, the coordinate of the reflection of C will be 3 units below the line y = -1 at C'(2, -4)

The coordinates of the point A(8, 8) will be A'(8, -10)

The coordinate of the point B(10, 6) will be B'(10, -8)

2) Given that we have A'(8, -10), B'(10, -8), and C'(2, -4), we have reflection over y = -7, we have;

The coordinates of the point A'(8, -10) will be A''(8, -4)

The coordinate of the point B'(10, -8) will be B''(10, -6)

The coordinate of the point C'(2, -4)will be C''(10, -10)

Which gives, a total translation of -12 units down as follows;

A''(8, -4) - A(8, 8) = (0, -12)

B(10, 6) - B''(10, -6) = (0, -12)

C(2, 2) - C''(10, -10) = (0, -12).

Answer:

\(\frac{3}{7}\)

Step-by-step explanation:

Start by finding how many integers there are from 10-30...

30-10+1=20+1=21

Note we have to add 1 since it is inclusive.

Now, let's find how many multiples of 4 or 5 there are from 10-30...

4*3=12

4*4=16

4*5=20

4*6=24

4*7=28

5*2=10

5*3=15

5*4=20

5*5=25

5*6=30

5+5-1=9

Note we have to subtract 1 since 20 is counted twice.

The probability would be...

\(\frac{Multiples\ of\ four\ and\ five\ from\ 10-30}{Amount\ of\ integers\ between\ 10-30}=\frac{9}{21}=\frac{3}{7}\)

The function x3 + 4x²-3x - 12 in factored form knowing that one of the roots is -4 \($$(x-4)\left(x^2+3\right)$$\)

Group the first two terms and the last two terms.

\($$\left(x^3-4 x^2\right)+3 x-12$$\)

Factor out the greatest common factor (GCF) from each group.

\($$x^2(x-4)+3(x-4)$$\)

Factor the polynomial by factoring out the greatest common factor, x-4.

\($$(x-4)\left(x^2+3\right)$$\)

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Answer:

18. 3.3years

Step-by-step explanation:

18. 20,000 - (20,000 - .15x) = 10,000

15% of 20,000 is 3,000

Answer:

solution:-We know that for any two finite sets A and B, n(A∪B)=n(A)+n(B)−n(A∩B).

Here, it is given that n(A)=20,n(B)=30 and n(A∪B)=40, therefore,

n(A∪B)=n(A)+n(B)−n(A∩B)

⇒40=20+30−n(A∩B)

⇒40=50−n(A∩B)

⇒n(A∩B)=50−40

⇒n(A∩B)=10

Hence, n(A∩B)=10

Step-by-step explanation:

hope it helps you friend ☺️

n(a) =40

n(b) =30

n(aπb) =20

n(aub)=x (let)

we know that

n(aub)=n(a)+n(b)–n(aπb)

x=40+30–20

x=70-20

x=50

n(aub)=50

The maximum amount you can earn is $540

a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.

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Statement true about equation is the slope is 19. starting at $20, the cost will increase by $19 per month.

In mathematics, an equation is a relationship between two expressions that is expressed as an equality on each side of the equal to sign. An equation would be 3y = 16, for instance.

Given

A professional bowler wanted to gather data about the cost of local bowling leagues in the area. after collecting and plotting the data, it was determined that the average bowling league consists of a one-time registration fee and a monthly fee modeled by the

Equation

y = 19x + 20

Equation of slope intercept

y = mx + b

m = slope

When x is 0

y = 19(0) + 20

y = 20

When x is 1

y = 19(1) + 20

y = 39

Your point plot is (0,20), (1,39), etc. because it is the place where y is when x is at 0.

Statement true about equation,

B) the slope is 19. starting at $20, the cost will increase by $19 per month.

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If the sand falls at a rate of 16 cubic millimeters per second, a player would have approximately 6.25 seconds for their turn.

The rate of sand falling from the hourglass is given as 16 cubic millimeters per second. We need to find out the time available for a turn. Let's assume that the hourglass is filled with 'x' cubic millimeters of sand.

We can use the formula:

Volume = Rate x Time

Here, the volume of sand is 'x' cubic millimeters, the rate is 16 cubic millimeters per second, and we need to find the time available for a turn, which we can represent as 't' seconds.

So,

x = 16t

We can rearrange this equation to find 't':

t = x/16

This means that the time available for a turn is equal to the volume of sand in the hourglass divided by the rate at which the sand falls.

We don't know the exact volume of sand in the hourglass, but let's assume it's 100 cubic millimeters.

Then,

t = 100/16

t = 6.25 seconds

So, in this case, a player would have approximately 6.25 seconds for their turn before all of the sand falls to the bottom of the hourglass.

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Answer: multiply both sides by 2

The required required solution of the equation is 1.75.

The definition of an equation in algebra is simply a statement that demonstrates that two mathematical expressions are equal. An example of an equation is 3x + 5 = 14, in which the expressions 3x + 5 and 14 are separated by an "equal" sign.

We have given

3.5(2.25+x) = 14

2.25 + x = 14/3.5

2.25 + x = 4

x = 4 - 2.25

x = 1.75

Thus, required solution of the equation is 1.75.

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x = 2

Answer:

x = 2

Step-by-step explanation:

Each triangle is made up of 2 radii (each of 5 units in length) and an included 30° angle.  

Therefore, the triangles are congruent.

So, DC = AB ⇒ x = 2

The value of θ is the angle whose cosine is 7/8, which is approximately 28.955 degrees or 0.506 radians

We can begin by simplifying the equation using algebraic operations:

(6cos(θ)+1)/5 = (8cos(θ)-2)/4

Multiplying both sides by 20, we get:

4(6cos(θ)+1) = 5(8cos(θ)-2)

Expanding the brackets, we get:

24cos(θ) + 4 = 40cos(θ) - 10

Moving all the terms with cos(θ) to one side and all the constants to the other side, we get:

24cos(θ) - 40cos(θ) = -10 - 4

-16cos(θ) = -14

Dividing both sides by -16, we get:

cos(θ) = 7/8

Therefore, the value of θ is the angle whose cosine is 7/8, which is approximately 28.955 degrees or 0.506 radians

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a) The value of z corresponding to an area of 0.1210 can be found using statistical tables or a statistical calculator.

b) Similarly, the value of z corresponding to an area of 0.9898 can be obtained using statistical tables or a statistical calculator.

c) To find the value of z at the 45th percentile, we can use the standard normal distribution table or a statistical calculator.

a) To find the value of z corresponding to an area of 0.1210, you can use a standard normal distribution table or a statistical calculator. By looking up the area of 0.1210 in the table, you can determine the corresponding z-value. For example, if you find that the z-value for an area of 0.1210 is -1.15, then -1.15 is the value of z corresponding to the given area.

b) Similarly, to find the value of z corresponding to an area of 0.9898, you can refer to a standard normal distribution table or use a statistical calculator. Find the z-value that corresponds to the area of 0.9898. For instance, if the z-value for an area of 0.9898 is 2.32, then 2.32 is the value of z corresponding to the given area.

c) To find the value of z at the 45th percentile, you can use a standard normal distribution table or a statistical calculator. The 45th percentile corresponds to an area of 0.4500. By finding the z-value for an area of 0.4500, you can determine the value of z at the 45th percentile. For example, if the z-value for an area of 0.4500 is 0.125, then 0.125 is the value of z at the 45th percentile.

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Answer:

g(f(x)) = 36\(x^{4}\) - 54x² + 12

Step-by-step explanation:

Substitute x = f(x) into g(x) , that is

g(6x²)

= (6x²)² - 9(6x²) + 12

= 36\(x^{4}\) - 54x² + 12

The probability the ball drawn from the second box is red, is 17/56.

In a box are 7 red balls and 8 blue balls.

From this box are drawn 4 balls and placed in a second box.

We have to determine the probability the ball drawn from the second box is red.

The total number of balls = Red Balls + Blue Balls

The total number of balls = 7 + 8

The total number of balls = 15

The number of balls placed in second balls = 4

The number of combination of balls in box 2.

BBBB, BBBR, BBRR and BRRR

Then, one ball is drawn from the second box.

The probability the ball drawn from the second box is red.

P(Ball is red in the second box) = P(BBBB) + P(BBBR) + P(BBRR) + P(BRRR)

P(Ball is red in the second box) = \(\frac{^{5}C_{4}}{^{8}C_{0}}(0)+\left(\frac{^{5}C_{3}\times ^{3}C_{1}}{^{8}C_{4}}\right)\times\frac{^{1}C_{1}}{^{4}C_{1}}+\left(\frac{^{5}C_{2}\times ^{3}C_{2}}{^{8}C_{4}}\right)\times\frac{^{2}C_{1}}{^{4}C_{1}}+\left(\frac{^{5}C_{1}\times ^{3}C_{3}}{^{8}C_{4}}\right)\times\frac{^{3}C_{1}}{^{4}C_{1}}\)

P(Ball is red in the second box) = \(0+\left(\frac{30}{70}\times\frac{1}{4}\right)+\left(\frac{30}{80}\times\frac{1}{2}\right)+\left(\frac{5}{70}\times\frac{3}{4}\right)\)

P(Ball is red in the second box) = 3/48 + 3/16 + 3/56

P(Ball is red in the second box) = (21 + 63 + 18)/336

P(Ball is red in the second box) = 102/336

P(Ball is red in the second box) = 17/56

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