Solve for x.
12x − 6 = − ( 18x + 11 )
A. 6
B. -6
C. 1/6
D. -1/6

Answer:

A: 37 degrees B: 49 degrees C: 57 degrees hope this helps

Answer:

Step-by-step explanation:

Use the property of angle bisector:

Using the above and the diagram we can see:

and

Also we have:

From the first equation we find:

And from the second equation we get:

Substitute b in the third equation:

Then, find b:

Answer:

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Step-by-step explanation:

2)

a) elimination method

b) substitution method

c) substitution method

For the first part we can elimate the y variable by subtracting the equations. We can then find the value of x.

For the second part we can substitute y as 2x+5 in the second equation and solve for x.

For the third part we can substitute y as 4x+3 in the first equation and solve for x.

3)

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A circle is a curve sketched out by a point moving in a plane. The length of wx is 18 cm.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

Given the length of the circle's diameter, z is 72 cm, therefore, the length of zx(Radius) is 36cm. Since the length of yz is 30 cm, the length of xy is 6 cm.

Also, the length of the circle's diameter, w is 48 cm, therefore, the length of wy(Radius) is 24 cm. Since the length of xy is 6 cm, the length of wx will be equal to,

Length of wx = wy-xy = 24cm - 6cm = 18 cm

Hence, the length of wx is 18 cm.

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Answer:

C {-2,3,7,9}

Step-by-step explanation:

C {-2,3,7,9}

The formula to determine the  density of a liquid with cubes, a meterstick and stopwatch is density of the liquid = mass / volume = 2.7 g / (volume of liquid displaced by the cube)

Density is a measure of how much mass is contained in a given volume of a material. In order to determine the density of a liquid, you will need three things: cubes, a meterstick, and a stopwatch.

First, gather your materials and select a cube of known dimensions. Place the cube on the surface of the liquid and start the stopwatch. Observe how long it takes for the cube to sink to the bottom of the container. Let's call this time t.

Next, use the meterstick to measure the height of the liquid in the container

With these two pieces of information, you can calculate the density of the liquid using the formula:

=> density = mass / volume

The mass of the cube can be calculated as:

=> mass = volume * density of the cube

where the volume of the cube is given by

=> volume = s³, where s is the length of one side.

Since we know the length of one side (s = 1 cm), the volume of the cube is 1 cm³.

The density of the cube can be assumed to be a constant value (for example, if the cube is made of aluminum, the density is approximately 2.7 g/cm³).

So,

=> mass = volume * density of the cube = 1 cm³ * 2.7 g/cm³ = 2.7 g.

The volume of the liquid displaced by the cube can be calculated as:

volume = mass / density of the liquid = mass / (h/t²)

where h/t² is the acceleration due to gravity.

Finally,

density of the liquid = mass / volume = 2.7 g / (volume of liquid displaced by the cube)

Complete Question:

Determine the density of an unknown liquid with only a meterstick, stopwatch, and cubes that sink.

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Answer:

Your answer is A, and I'm unsure of it but the other answer is D

Step-by-step explanation:

A: Is correct because there is a pattern, the pattern in every +1 in X there is +3 in Y

B: Is incorrect because there is no pattern, it is just a random series of numbers

C: Is incorrect because there is again no pattern, and just a random series of numbers

D: Is correct because there is a pattern, it is every +2 in the X there is +0 in the Y

Thus A, and D are your answers!

Answer:

Vertical angles are opposite angles that are formed from two intersecting lines. From this, the vertical angle to 3 is 5

Answer:

Step-by-step explanation:

<3 is a right angle so its opposite angle is vertical to it. The answer is <5.

Answer:

x = 18

Step-by-step explanation:

7x + 3x = 180° (corresponding angles, sum of adjacent angles on a straight line)

10x = 180

x = 18

The statement is false because in a Poisson distribution, the probability of success does not vary from trial to trial.

The Poisson distribution is a discrete probability distribution that describes the number of times an event occurs in a fixed time interval or spatial region, given the average rate of occurrence and assuming that the events are independent and random.

The Poisson distribution has only one parameter, λ, which represents the average rate of occurrence of the event.

The probability of observing k events in the interval is given by the Poisson probability mass function:

P(k) = (e^(-λ) * λ^k) / k!

where e is the base of the natural logarithm, and k is a non-negative integer.

The Poisson distribution assumes that the probability of observing an event at any given point in time or space is constant, and that the events are independent of each other.

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Answer:

2 1/4

Step-by-step explanation:

Answer: 20.1

Step-by-step explanation: I if you are here from delta math this is the answer

Answer: 20.1

Step-by-step explanation:

sinU=  

hypotenuse

opposite

​  

=  

x

20

​  

\sin 85=\frac{20}{x}

sin85=  

x

20

​  

x\sin 85=20

xsin85=20

Cross multiply.

\frac{x\sin 85}{\sin 85}=\frac{20}{\sin 85}

sin85

xsin85

​  

=  

sin85

20

​  

Divide each side by sin 85.

x=\frac{20}{\sin 85}=20.0764\approx 20.1\text{ feet}

x=  

sin85

20

​  

=20.0764≈20.1 feet

Type into calculator and roundto the nearest tenth of a foot.

T

U

V

20

20.1

(opposite of ∠U)

(adj. to ∠U)

(hypotenuse)

85°

I was in a rush so I couldn't write fown the steps. If you need the explanations for how they were gotten, please say.

The average daily change in temperature, we divide the change in temperature by the number of days, resulting in (-49) / D

To represent the change in temperature, we can use a division expression. We need to find the difference between the initial temperature and the final temperature, and divide that difference by the number of days.

Let's assume that the initial temperature was T1 and the final temperature was T2. The change in temperature can be represented by the expression T2 - T1.

In this case, the temperature dropped 49 degrees Fahrenheit. So, the expression to represent the change in temperature would be T2 - T1 = -49.

To determine the average daily change in temperature, we need to divide the change in temperature by the number of days. Let's assume that the number of days is D.

The average daily change in temperature can be calculated by dividing the change in temperature by the number of days. So, the expression to determine the average daily change would be (-49) / D.

For example, if the temperature dropped 49 degrees Fahrenheit over a span of 7 days, the average daily change would be (-49) / 7 = -7 degrees Fahrenheit per day.

It's important to note that the negative sign indicates a decrease in temperature, while a positive sign would indicate an increase.

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The linear equation that shows a proportional relationship is y equals two thirds times x.

A proportional relationship is a relationship between two variables in which one variable is a constant multiple of the other. In other words, if y is directly proportional to x, then y = kx for some constant k. This can also be written as y/x = k, where k is the constant of proportionality.

The linear equation that shows a proportional relationship is y = 2/3x.

It shows a direct relationship because the coefficient of x (2/3) is constant, and there is no constant term (y-intercept) which breaks the proportionality.

The other equations do not show a proportional relationship because they have a coefficient that varies with x or a constant term.

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Answer:

y = - \(\frac{3}{2}\) x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (2, 0) ← 2 points on the line

m = \(\frac{0-3}{2-0}\) = \(\frac{-3}{2}\) = - \(\frac{3}{2}\)

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - \(\frac{3}{2}\) x + 3 ← equation of line

The point(s) on the curve y = x²/6 closest to the point (0,0) are (0,0) and (±√2, 2/3).

To find the point(s) on the curve y = x²/6 closest to the point (0,0), we can use the distance formula between two points:

d = √((x₁ - x₂)² + (y₁ - y₂)²)

where (x₁, y₁) is a point on the curve and (x₂, y₂) is the point (0,0).

We want to minimize the distance d, which is equivalent to minimizing d². Therefore, we can minimize:

d² = (x₁ - 0)² + (y₁ - 0)²

= x₁² + y₁²

subject to the constraint that the point (x₁, y₁) is on the curve y = x²/6.

Substituting y = x²/6 into the expression for d², we get:

d² = x₁² + (x₁²/6)

= (7/6)x₁²

To minimize d², we minimize x₁². Since x₁² is always non-negative, the minimum occurs when x₁² = 0 or when the derivative of d² with respect to x₁ is zero.

Taking the derivative of d² with respect to x₁, we get:

d²/dx₁ = (7/3)x₁

Setting this equal to zero, we get x₁ = 0.

Therefore, the point (0,0) is one of the closest points on the curve to the point (0,0).

To find the other closest point(s), we can solve y = x²/6 for x² and substitute it into the expression for d²:

x² = 6y

d² = 7x²/6 = 7y

Therefore, to minimize d², we need to minimize y. Since y is always non-negative, the minimum occurs when y = 0 or when the derivative of d² with respect to y is zero.

Taking the derivative of d² with respect to y, we get:

d²/dy = 7

Setting this equal to zero, we get y = 0.

Substituting y = 0 into y = x²/6, we get x = 0. Therefore, the point (0,0) is one of the closest points on the curve to the point (0,0).

To find the other closest point, we can solve y = x²/6 for x:

x² = 6y

x = ±√(6y)

Substituting this into the equation for y, we get:

y = (√(6y))²/6 = 2/3

Therefore, the other closest points are (±√2, 2/3).

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The surface area of pyramid is 116.4 sq. ft.

What is pyramid?

A pyramid is a polyhedron that has a polygonal base and triangular faces that meet at a common vertex, called the apex. The base can be any polygon, but the most common are square-based pyramids (with a square base) and triangular-based pyramids (with a triangle base).

To find the surface area of the pyramid, we add up the area of the faces and the base.

The area of triangle is given as:

A = 1/2 (b)(h)

For the face of the pyramid:

b = 12, h = 9

Substituting the values:

A = 1/2 (12)(9)

A = 54 sq. ft

The pyramid consists of three faces thus,

A = 3(54) = 162 sq ft

For the base of the pyramid:

b = 12, h = 10.4 ft

A = 1/2(12)(10.4)

A = (6)(10.4)

A = 62.4 sq ft

The surface area of the pyramid is:

SA = 54 + 62.4

SA = 116.4 sq. ft

Therefore, for the given pyramid the surface area is 116.4 sq. ft.

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Answer:

X = 6x

Step-by-step explanation:

Simplifying

X + 9 + -0.8x = 5.2x + 17 + -8

Reorder the terms:

9 + X + -0.8x = 5.2x + 17 + -8

Reorder the terms:

9 + X + -0.8x = 17 + -8 + 5.2x

Combine like terms: 17 + -8 = 9

9 + X + -0.8x = 9 + 5.2x

Add '-9' to each side of the equation.

9 + X + -9 + -0.8x = 9 + -9 + 5.2x

Reorder the terms:

9 + -9 + X + -0.8x = 9 + -9 + 5.2x

Combine like terms: 9 + -9 = 0

0 + X + -0.8x = 9 + -9 + 5.2x

X + -0.8x = 9 + -9 + 5.2x

Combine like terms: 9 + -9 = 0

X + -0.8x = 0 + 5.2x

X + -0.8x = 5.2x

Solving

X + -0.8x = 5.2x

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '0.8x' to each side of the equation.

X + -0.8x + 0.8x = 5.2x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0

X + 0.0 = 5.2x + 0.8x

X = 5.2x + 0.8x

Combine like terms: 5.2x + 0.8x = 6x

X = 6x

Simplifying

X = 6x

Answer:

X=6x

Step-by-step explanation:

Answer:

4x - 42 = 5

Step-by-step explanation:

2/3 x - 7 = 5/6

The denominators are 3 and 6

The least common multiple for 3 and 6 is 6

Multiply each side by 6 to clear the fraction

6(2/3 x - 7) = 5/6*6

4x - 42 = 5

Answer:

Cannot be factored

Approxiamtely 167 men will be there in a class if the percent of men is 58.6 of the total student.

According to the given question.

Total number of students in the class is 285.

And 58.6 percent of the total students are men.

As we know that, a relative value indicating hundredth parts of any quantity is called a percent.

Therefore,

the total number of men in the class

= 58.6 percent of 285

= (58.6/100) × 285

= 0.586 × 285

= 167.01

Hence, approxiamtely 167 men will be there in a class if the percent of men is 58.6 of the total student.

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The lengths of x, y and z in the triangle are:

x = 10 units

y = 2√29 units

z = 5√29 units

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

See the attached image for labelling.

In the right triangle DBC:

cos(C) = 4/y --- (1)

In the right triangle ABC:

cos(C) = y/29 --- (2)

equate equation (1) and equation (2):

4/y =  y/29

y * y² = 4 * 29

y² = 116

y = √116

y = 2√29 units

In the right triangle DBC:

y² = 4² + x²  (Pythagoras Theorem)

(2√29)² = 4² + x²

116 = 16 + x²

x² = 116 - 16

x² = 100

x = √100

x = 10 units

In the right triangle ABC:

29² = y² + z² (Pythagoras Theorem)

841 = 116 + z²

z² = 841 - 116

z² = 725

z = √725

z = 5√29 units

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No, the line passing through  (-4, 26) and (-2, 0) is  not parallel to line passing through (10, 18) and (5, 3) because slopes of both lines are different.

Line is possible in 2-d forms so, it has only x and y-co-ordinates. Z-co-ordinates is not possible.

We know very well that to prove any two lines are parallel to each other we need to prove only whether their slopes are equal or not.

Now, talking about the slopes we know that if any line is passing from point(x₁,y₁) and again passing from other point(x₂,y₂) then slope(m) of that line is given by the formula=(y₂-y₁) / (x₂-x₁)

So, for first line we have (x₁, y₁)=(-4,26)

and (x₂, y₂)=(-2,0)

So, slope(m₁) of first line is =(0-26)/(-2 - (-4))

                  =>m₁ = -26/2

                   =>m₁ = -13     ----(eq1)

Similarly, for second line, we have (x₁, y₁)=(10,18)

and (x₂, y₂)=(5,3)

So, slope(m₂) of second line is =(3-18) / (5-10)

                =>m₂ = -15/-5

                 =>m₂=     3   -------(eq2)

On comparing eq1 and eq2,we get

 =>m₁≠m₂.

Hence, the given lines are not parallel.

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(Complete question) is:

Is the line through (-4, 26) and (-2, 0) parallel to the line through (10, 18) and (5, 3)?

The period of time between treatments in which no treatment is given so that the effects of a previous treatment are eliminated before introducing a new treatment is called a washout period.

The period of time between treatments in which no treatment is given so that the effects of a previous treatment are eliminated before introducing a new treatment is called a washout period.

This period allows the body to return to its baseline state before starting a new treatment. The duration of the washout period depends on the specific treatment and its effects on the body.

The washout period allows for the evaluation of the effects of the new treatment without interference from the previous medication or treatment. The goal of a washout period is to reduce the potential for confounding variables that could impact the accuracy and reliability of the study results.

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9514 1404 393

Answer:

  y = 1 · 5^x

Step-by-step explanation:

Use the given values in the given formula and solve for 'a' and 'b'.

  y = a·b^x

  5 = a·b^1 . . . . . . for (x, y) = (1, 5)

  125 = a·b^3 . . . . for (x, y) = (3, 125)

Divide the second equation by the first:

  125/5 = (a·b^3)/(a·b^1)

  25 = b^2 . . .  simplify

  5 = b . . . . . . . take the square root

Substituting into the first equation, we can find 'a':

  5 = a·5

  1 = a . . . . . . . divide by 5

Written in the given form, the equation is ...

  y = 1 · 5^x

The domain and range for the given functions are: a) Domain: (-∞, -2) ∪ (2, ∞), Range: (0, ∞) b) Domain: (-∞, ∞), Range: [9/2, ∞) c) Domain: (-∞, 2) ∪ (2, ∞), Range: (-∞, 0) ∪ (0, ∞)

The domain of a function is the set of all possible values of x that can be input into the function. The range of a function is the set of all possible values of y that can be output from the function.

a) y = 1/√(x^2 - 4)
The domain of this function is all values of x that make the denominator nonzero and the square root positive. Therefore, x^2 - 4 > 0, which means (x - 2)(x + 2) > 0. The solution to this inequality is x < -2 or x > 2. So the domain is (-∞, -2) ∪ (2, ∞).

The range of this function is all positive values of y, since the square root in the denominator is always positive. So the range is (0, ∞).

b) y = (2x^2) - 2x + 5
The domain of this function is all real numbers, since there are no restrictions on the values of x. So the domain is (-∞, ∞).

The range of this function is all values of y greater than or equal to the vertex of the parabola. The vertex of this parabola is (-b/2a, f(-b/2a)), which is (1/2, 9/2). So the range is [9/2, ∞).

c) y = 1/(1 - 1/(x - 1))
The domain of this function is all values of x that make the denominator nonzero. Therefore, 1 - 1/(x - 1) ≠ 0, which means x ≠ 2. So the domain is (-∞, 2) ∪ (2, ∞).

The range of this function is all values of y except 0, since the denominator can never be zero. So the range is (-∞, 0) ∪ (0, ∞).

In conclusion, the domain and range for the given functions are:
a) Domain: (-∞, -2) ∪ (2, ∞), Range: (0, ∞)
b) Domain: (-∞, ∞), Range: [9/2, ∞)
c) Domain: (-∞, 2) ∪ (2, ∞), Range: (-∞, 0) ∪ (0, ∞)

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Answer:

h(- 9) = 90

Step-by-step explanation:

To calculate h(- 9) , substitute x = - 9 into h(x)

h(- 9) = (- 9)² - (- 9) = 81 + 9 = 90

Answer:

14b - 12b²

or

2b (7-6b)

Step-by-step explanation:

(6b - 6b²) - (6b² - 8b)

(6b - 6b²) - (6b² - 8b)

- (6b² - 8b) means

-1 times (6b² - 8b)

-1 times (6b² - 8b) =

-6b² + 8b

(6b - 6b²) - (6b² - 8b) =

6b - 6b² - 6b² + 8b =

14b - 12b²

you can simplify it more

2b (7-6b)