Solve for x. Show all work plz.
3(x + 5) = x - 7

Answer the first is opposite and other is same

Step-by-step explanation:

Answer:

Step-by-step explanation:

The rule is if 2 chords intersect inside a circle, then the measure of the angle formed is one half the um of the measure of the arcs intercepted by the angle and its vertical angle. In other words, angle TSU = 1/2(arc TU + arc MV):

angle TSU = 1/2(90 + 80) and

angle TSU = 1/2(170) and

angle TSU = 85

To use the quadratic formula, we need to identify the values of a, b, and c.

1. In this case, the equation is 4x² - 3x - 8 = 0, so a = 4, b = -3, and c = -8.

2. x = (-b ±√(b² - 4ac))/2a.

3.  x = (3 ±√137)/8.

The Quadratic Formula is a mathematical equation used to solve second-degree equations.

To use the quadratic formula, we need to identify the values of a, b, and c in the equation ax² + bx + c = 0.

In this case, the equation is

4x² - 3x - 8 = 0,

so a = 4, b = -3, and c = -8.

Once the values of a, b, and c are known, we can substitute them into the Quadratic Formula:

x = (-b ±√(b² - 4ac))/2a.

In this equation, a = 4, b = -3, and c = -8, so the equation becomes

x = (-(-3) ±√((-3)² - 4(4)(-8)))/2(4).

Simplifying, we get x = (3 ±√(9 + 128))/8.

Finally, solving for x yields x = (3 ±√137)/8.

Therefore, the solution to the equation is

x = (3 ±√137)/8.

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Seriousally???Step-by-step explanation:

The measurement of angle is shown below.

We have the following types of angles as

Angles can be categorized according to their degree angle magnitude:

When both angle arms are at the same place, a zero angle is created. Rays emanating from the same spot at an angle of zero.

The measurement of an angle that is larger than 0 but less than 90 is called an acute angle.

The angle that measures accurately 90 is the right angle.

The definition of an obtuse angle is an angle that is larger than 90 but less than 0.

The exact measurement of an angle 180 is a straight angle.

The measurement of an angle that is greater than 180 but less than 360 is called a reflex angle.

The exact measurement of an angle is 360 its complete angle.

So, 90 is Right Angle

60 is Acute Angle

70 is Acute angle

80 is Acute angle

30 is Acute Angle

20 is Acute Angle

110 is Obtuse Angle

100 is Obtuse Angle

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An open circuit interrupts current, and because the other circuit components do not have current, they cannot drop any voltage is False

An open circuit refers to a circuit where there is a break or interruption in the path that allows current to flow. In such a circuit, the flow of electrons is impeded, preventing the current from passing through. When an open circuit occurs, current cannot flow through the components connected in the circuit.

Now, let's address the second part of the statement: "...because the other circuit components do not have current, they cannot drop any voltage." This part is false. Even though an open circuit interrupts the current flow, the other circuit components still have voltage across them, and they can indeed drop voltage.

To understand this, let's consider Ohm's Law, which states that the voltage across a component is equal to the current flowing through it multiplied by its resistance. When current flows through a component, it encounters resistance, and as a result, a voltage drop occurs across that component. This voltage drop is a manifestation of the energy being consumed by the component.

In an open circuit, where there is no current flow due to the interruption, the components still have voltage across them. This voltage is determined by the potential difference provided by the power source connected to the circuit. However, since there is no current flowing, the components do not consume any energy and do not exhibit any voltage drop.

To illustrate this further, let's consider a simple circuit with a battery (power source), a resistor, and an open switch. When the switch is closed, completing the circuit, current flows through the resistor, and a voltage drop occurs across it. However, when the switch is open, the circuit becomes an open circuit. The voltage across the resistor is still present, but since there is no current flowing through it, there is no voltage drop across the resistor.

In summary, an open circuit does interrupt current flow, but the other components in the circuit can still have voltage across them. However, without current flowing, these components do not exhibit any voltage drop because voltage drop occurs as a result of current flowing through a component and encountering resistance.

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Answer:

Robert got 35 problems right if he received an 87.5% oh his test.

Step-by-step explanation:

As Robert got right 87.5% on his test.

so the expression becomes

87.5% × 40

= 87.5/100 × 40

= 0.875 × 40

= 35

Therefore, Robert got 35 problems right if he received an 87.5% oh his test.

The system has a unique solution. The type of solution is U (unique solution).

To determine the type of solution for each linear system, we can use the properties of linear equations and systems. Let's analyze each system:

-2x + y = 5

2x - y = -5

By adding the two equations, we eliminate the variable "y" and obtain:

0 = 0

Since this equation is always true, the system has infinitely many solutions. Therefore, the type of solution is I (infinitely many solutions).

2x - 3y = 5

2x + 3y = 0

By adding the two equations, we eliminate the variable "x" and obtain:

0 = 5

Since this equation is never true, the system has no solution. Therefore, the type of solution is N (no solution).

4x + 6y = 0

4x + 6y = 0

The two equations are identical. This means that any values of x and y that satisfy one equation will also satisfy the other. Therefore, the system has infinitely many solutions. The type of solution is I (infinitely many solutions).

2x + 3y = 5

x + 6y = 7

By multiplying the second equation by 2, we obtain:

2x + 12y = 14

Comparing this equation with the first equation, we can see that they are not equivalent. This implies that the system has no solution. The type of solution is N (no solution).

2x + 3y = 5

x - 3y = 5

By adding the two equations, we eliminate the variable "y" and obtain:

3x = 10

Dividing both sides by 3, we find:

x = 10/3

Substituting this value back into the second equation, we have:

10/3 - 3y = 5

Simplifying, we get:

-3y = 5 - 10/3

-3y = 5/3

Dividing both sides by -3, we find:

y = -5/9

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Answer:

Step-by-step explanation:

X axis intercept (y=0)

3x+2(0)=5

3x=5

x=5/3

Y axis intercept (x=0)

3(0)+2y=5

2y=5

y=5/2

so, the interception points are: (5/3,0) and (5/2,0)

Step-by-step explanation:

The area of the floor is

14 x 14 = 196m^2

Area of carpet = area of floor

= 196m^2

One square meter of carpet = 114

Therefore 196m^2 cost

114 x 196 = 22344

Construction is a vital industry that shapes our infrastructure and builds the foundation for our cities and communities.

However, amidst the significant progress and achievements in the construction field, ensuring safety on construction sites remains a paramount concern. Construction safety plays a crucial role in protecting the lives and well-being of workers, reducing accidents, and creating an environment that promotes productivity and efficiency. By implementing robust safety measures and fostering a culture of safety, construction companies can safeguard their workers and contribute to a safer and more sustainable industry.

In this paper, we will delve into the importance of construction safety, explore key challenges faced in the field, and discuss effective strategies to enhance safety practices for a safer construction environment.

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Answer:

The 15% tip is $3.90

Step-by-step explanation:

To find 15% of $26, multiply .15 × 26

You get 3.9 that is $3.90. (If we aren't talking about dollars$, then sorry, but the numbers/math is the same)

If you're at the table and everyone's phone is dead (so no calculators), then find 10%:

10% of 26.00 is 2.60 (just move the decimal to the left one place)

Cut it in half to find 5%:

Half of 2.60 is 1.30

Add them together:



2.60 + 1.30 is 3.90

15% of 26 is 3.90

The two way table given by option z is a possible representation of the data collected.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

From the first table, we have that:

Then, for the basic packages, we have that resorts were chosen 2.5 times more than tours, while cruises were chosen 1.5 times more than tours.

Option z shows these same ratios between the amounts, hence it is the correct option.

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9514 1404 393

Answer:

  factors: (x +5) and (2x -1)

  zeros: -5 and 1/2

Step-by-step explanation:

The factorization can be aided by considering the factors of ac=2·(-5) that have a sum of b=9.

  -10 = -1×10 = -2×5

The sums of these factors are ...

  -1+10 = 9 (the pair we want), and -2+5 = 3

This means we can rewrite the function as ...

  g(x) = 2x² +10x -x -5

and factor by grouping.

  g(x) = (2x² +10x) -(x +5)

  g(x) = 2x(x +5) -1(x +5) = (2x -1)(x +5)

The factors of g(x) are (x +5) and (2x -1).

__

The zeros of the function are the values of x that make these factors be zero.

  x+5 = 0   ⇒   x = -5

  2x -1 = 0   ⇒   2x = 1   ⇒   x = 1/2

These are the parametric equations of the line that passes through the points (6, 2) and (3, 4).

To find the parametrization of the line that passes through the points (6,2) and (3,4), we can use the following steps:Step 1: Find the direction vector of the line.The direction vector can be found by subtracting the coordinates of one point from the coordinates of the other point.(3, 4) - (6, 2) = (-3, 2)The direction vector of the line is (-3, 2).Step 2: Choose a parameter t and find the parametric equations of the line.To find the parametric equations of the line, we need to choose a parameter t. The parameter t will give us the coordinates of all the points on the line. We can choose any value of t.To make the calculations easier, we can choose t = 0 for one of the points. Let's choose t = 0 for the point (6, 2). This means that when t = 0, the coordinates of the point on the line are (6, 2).We can now use the direction vector and the point (6, 2) to find the parametric equations of the line:x = 6 - 3t y = 2 + 2t

These are the parametric equations of the line that passes through the points (6, 2) and (3, 4).

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The correct answer is the density function is highest at x=1.75 and lowest at x=0, which means that the mass is concentrated towards the end of the wire.

To find the mass of the thin copper wire, we need to integrate the density function over the length of the wire.

The density function is given by p(x) = 4x^2 + 3x lb/ft. We need to integrate this function from x=0 to x=1.75 (since the wire is 1.75 feet long).

So, the mass can be found using the integral:

m = ∫0.75^1.75 (4x^2 + 3x) dx

Evaluating this integral, we get:

m = [4/3 x^3 + 3/2 x^2]0.75^1.75

m = [(4/3 * 1.75^3 + 3/2 * 1.75^2) - (4/3 * 0.75^3 + 3/2 * 0.75^2)] lb

m = 7.87 lb (rounded to two decimal places)

Therefore, the mass of the thin copper wire is 7.87 pounds.

It is important to note that the density function varies along the length of the wire, which means that different parts of the wire have different masses.

The density function is highest at x=1.75 and lowest at x=0, which means that the mass is concentrated towards the end of the wire.

This is a common concept in physics and engineering, where the mass distribution of an object can affect its behavior and performance.

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Step-by-step explanation:

\(x = 1\)

\( \)

HOPE It Helps it;D

Answer:

 2 • (x + 3)

Step-by-step explanation:

Answer:

x = - 1

Step-by-step explanation:

- 5x - 16 = 9x + x - 1

- 5x - 16 + 16 = 9x + x - 1 + 16

- 5x = 9x + x - 1 + 16

- 5x = 10x + 15

- 5x - 10x = 10x - 10x + 15

- 15x = 10x - 10x + 15

- 15x = 15

- 15x ÷ - 15 = 15 ÷ - 15

x = 15 ÷ - 15

x = - 1

x-value that corresponds to the z-score of 2.33 is 81.65.

Mean = 70

Standard deviation = 5

z score = 2.33

Using the z-score formula:

z = (x - mean) / SD

Plug the values:

2.33 = (x-70)/5

    x = 5(2.33) +70

    x = 81.5

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Answer:

f(2) = 18

Step-by-step explanation:

f(2) = 3(2 + 4)

f(2) = 3(6)

f(2) = 18

.

===================================================

Work Shown:

We'll use the pythagorean theorem

a^2 + b^2 = c^2

7^2 + 24^2 = x^2

49 + 576 = x^2

625 = x^2

x^2 = 625

x = sqrt(625)

x = 25

The hypotenuse is 25 units long.

Note: the value of c is always the hypotenuse, while the order of 'a' and b doesn't matter.

Answer:

18/29

Step-by-step explanation:

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The probability that a student chosen randomly from the class plays basketball or baseball is 18/29

How to determine the probability?

The given parameters are:

Students = 29

Basketball = 8

Baseball = 16

Neither = 11

The number of students that play basketball or baseball is:

Basketball or Baseball = Students - Neither

This gives

Basketball or Baseball = 29 - 11

Basketball or Baseball = 18

The probabilty is then calculated as:

P = Basketball or Baseball/Students

This gives

P = 18/29

Hence, the probability that a student chosen randomly from the class plays basketball or baseball is 18/29.

Answer: Question 1 is 30 miles, Question2 is 360 acres, and Question 3 should be $8.

Step-by-step explanation:

As a verbal expression, the difference between 10 and 5 is 5

The numbers are given as

10 and 5

The difference between the numbers is calculated as

Difference = 10 - 5

Evaluate the difference

Difference = 5

The above represents the difference in variable

As a verbal expression, the difference between 10 and 5 is 5

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The correct answer is (a) \(y^2 - x^2 = x + 7y\) for the polar equation.

Polar coordinates are a two-dimensional coordinate system that uses an angle and a radius to designate a point in the plane. A polar equation is a mathematical equation that expresses a curve in terms of these coordinates. Circles, ellipses, and spirals are examples of forms with radial symmetry that are frequently described using polar equations. They are frequently employed to simulate physical events that have rotational or circular symmetry in engineering, physics, and other disciplines. Computer programmes and graphing calculators both use polar equations to represent two-dimensional curves.

To convert the polar equation\(r = sinθ\) into a cartesian equation, we use the following identities:

\(x = r cosθy = r sinθ\)

Substituting these into the given polar equation, we get:

\(x = sinθ cosθy = sinθ sinθ = sin^2θ\)
Now we eliminate θ by using the identity:

\(sin^2θ + cos^2θ = 1\)

Rearranging and substituting, we get:

\(x^2 + y^2 = x(sinθ cosθ) + y(sin^2θ)\\x^2 + y^2 = x(2sinθ cosθ) + y(sin^2θ + cos^2θ)\\x^2 + y^2 = 2xy + y\)

Therefore, the correct answer is (a)\(y^2 - x^2 = x + 7y\).

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Answer:

A

Step-by-step explanation:

8/16 = 12/24 and 110 = 110

Answer:

SAS POSTULATE BECUSE THE VALUES OF TWO SIDES AND ONE ANGLE IS GIVEN IN THE EQUATION

300/4 ÷ 4/4 [Divide the numerator and denominator by 4] = 75%. Answer: 75% (ii) Express 12/5 as a percent. Solution: 12/5 × 100 = (12 × 100)/5 = 1200/5

Answer:

n = -3

Step-by-step explanation:

Original Equation:

11 (n-1) + 35 = 3n

Distributive Property:

11n + 24 = 3n

Subtract 24 from both sides:

11n + 24 - 24 = 3n - 24

Simplify:

11n = 3n - 24

Subtract 3n from both sides:

11n - 3n = 3n - 24 - 3n

Simplify:

8n = -24

Divide both sides by 8:

\( \frac{8n}{8} = \frac{ - 24}{8} \)

Simplify:

n = -3

Answer:

n=-3

Step-by-step explanation:

The length of the arc on a circle of radius r of 33 cm intercepted by a central angle 1.5 radians is 49.5 cm.

the measure of θ in radians given that s (arc length) is 14 and the radius is 11 is 1.3 radians.

We know that from trigonometric formula, if the arc length of 's' subtends an angle of θ in radian at the center of a circle with radius of 'r' units then the relation between then is given by,

s = rθ

For the first case:

Radius of the circle is (r) = 33 cm.

Central angle is (θ) = 1.5 radian

Then the length of the arc (s) is given by = 33*1.5 = 49.5 cm.

For the second case:

Radius of the circle is (r) = 11 units.

and the arc length of the circle is (s) = 14 units.

So the measure of the central angle (θ) = s/r = 14/11 = 1.3 radians (round to nearest tenth).

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Answer:

14

6x - (3y + 7) = cube

Step-by-step explanation: