How can you solve one-variable equations using inverse operations?​

Answer:

Step-by-step explanation:

Width of the room in the drawing = x

1 : 3 :: x : 18

Product of means = Product of extremes

         3 * x =  18 *1

             x = 18 ÷ 3

            x = 6

Width of the room in the drawing = 6 inches

Answer: 4,986.875

Step-by-step explanation: Multiply 25.25 x 19.75. Then, multiply the product by 10, or shift the decimal point one place to the right.

Answer:

A: D and E are similar but not congruent.

Step-by-step explanation:

hope this help

Answer:

\(area = 200.96 \: {units}^{2} \\ circumfrence = 50.24 \: units\)

Step-by-step explanation:

The formula to find the area and circumference of a circle is:

\(area = \pi {r}^{2} \\ circumfrence = 2\pi \: r\)

*note that pi is 3.14* Therefore the area is:

\(formula = \pi {r}^{2} \\ 3.14 \times {8}^{2} = \\ 3.14 \times 64 = 200.96\)

Therefore the circumference is:

\( formula = \: 2\pi \: r \\ (2)(3.14)(8) = \\ 3.14 \times 16 = 50.24\)

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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The efficiency of the power screw in raising the load is approximately 6976%.

The efficiency of a power screw can be calculated using the formula: Efficiency = (Ideal Mechanical Advantage / Actual Mechanical Advantage) x 100% To find the Ideal Mechanical Advantage (IMA) of the screw, we can use the formula:

IMA = (π / tan(α)) x (π / 2) x (D / P)

Where: π is the mathematical constant pi (approximately 3.14159) tan(α) is the coefficient of friction (given as 0.20) D is the major diameter of the screw (given as 19 mm) P is the pitch of the screw, which can be calculated as (25.4 mm / number of threads per inch) First, let's calculate the pitch: Number of threads per inch = 6

Pitch = 25.4 mm / 6 = 4.23 mm (approximately)

Now, we can substitute the values into the formula to find IMA:

IMA = (π / tan(α)) x (π / 2) x (19 mm / 4.23 mm)

Using the given coefficient of friction, we have:

IMA = (π / 0.20) x (π / 2) x (19 mm / 4.23 mm)

Simplifying the equation, we get:

IMA = 9.87 x 1.57 x 4.49

Calculating IMA, we find:

IMA ≈ 69.76

Now, we need to find the Actual Mechanical Advantage (AMA), which can be calculated using the formula:

AMA = Load / Effort

Where:

Load is the weight being lifted (given as 17.80 kN)

Effort is the force applied to turn the screw

Since the screw is being used to lift the load, the Effort is equal to the load.

AMA = 17.80 kin / 17.80 kin

AMA = 1

Now, we can calculate the efficiency using the formula:

Efficiency = (IMA / AMA) x 100%

Efficiency = (69.76 / 1) x 100%

Efficiency ≈ 6976%

The efficiency of the power screw in raising the load is approximately 6976%.

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Answer:

Hi,

Step-by-step explanation:

\((fog)(x)=g(f(x))=g(3x+2)=(3x+2)^2+1=9x^2+6x+5\)

Answer:

hi

Step-by-step explanation:

In order to calculate the final price after a 33% discount, we can just multiply the initial value by 100% - 33% = 67%, that is, 0.67.

So we have:

So the value after the discount is $219.09.

The value of the discount is:

Answer:

1) D

2)A

3)D

4)A

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

Answer:

I hope I can help you

Step-by-step explanation:

I hope I can help you

Answer:

4.5

Step-by-step explanation:

Use sin64=x/5 and simplify to

5sin64 and plug it into a calculator to get 4.49 which is 4.5

Answer:

-21/5 or -4.2

Step-by-step explanation:

y = 2x + 6

3y - x + 3 = 0

Substitute the value for y from the first equation into the second equation.  Solve for x.

3y - x + 3 = 0

3(2x + 6) - x  + 3= 0

6x + 18 - x + 3 = 0

5x + 18 + 3 = 0

5x + 21 = 0

5x + 21 - 21 = 0 - 21

5x = -21

x = -21/5 or -4.2

There are default tab stops every one inch on the horizontal ruler is true statement.

In word processing software, there are usually default tab stops set every one inch (or 2.54 cm) on the horizontal ruler. These tab stops are the default positions at which the insertion point will stop when the tab key is pressed.

The purpose of these tab stops is to make it easier to align text in columns or tables. By default, there are left-aligned, centered, right-aligned, decimal-aligned, and bar-aligned tab stops. Users can also add custom tab stops at specific positions on the ruler to suit their formatting needs.

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The coordiantes of M that divides AB in the ratio 1:2 are (2,1).

Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane

To calculate the coordinate of M, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equatio 1 and 2 respectively

Hence, the coordinates of M are (2,1).

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As per the given points, the distance is 0.08 meter.

The term distance in math is known as the length of the line joining the two points.

Here we have given that over a period of one year and the two points on opposite sides of a mid-ocean ridge moved a distance of 4 centimeters farther apart.

Here we have to calculate the distance between the two point in  meter.

Let us consider that x be the distance between the two points.

As we know that in each side there is 4 centimeter distance.

Then the total distance between the two points,

=> 4 x 2 = 8 centimeter.

Then the meter equivalent is calculated as,

=> 8/100 = 0.08

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Answer:

it's 5X

Step-by-step explanation:

GCF is the greatest common factor

Answer:

5x GCP

Step-by-step explanation:

Answer:

g = 1/2

Step-by-step explanation:

Step 1: Add 0.5g to both sides

9 + 4g = 11

Step 2: Subtract 9 from both sides

4g = 2

Step 3: Divide by 4 on both sides

g = 2/4

Step 4: Simplify

g = 1/2

9 + 3.5g = 11 - 0.5g

2 = 4g

g = 0.5

The cost of constructing the path at the rate of Rs. 25 per m2 would be Rs. 38,465.

To find the cost of constructing the path, we need to determine the area of the path and then multiply it by the cost per square meter.

The total diameter of the pond and the path is 21m + 3.5m + 3.5m = 28m.

So the radius of the pond is half of the diameter, which is 21m/2 = 10.5m.

The radius of the pond with the path is (21m+3.5m)/2 = 12.25m.

Area of the path = Area of the outer circle - Area of the pond

\(= π(12.25)^2 - π(10.5)^2\)

\(= π[(12.25)^2 - (10.5)^2]\)

= 3.14 x (24.5 + 10.5) x (24.5 - 10.5)

= 3.14 x 35 x 14

= 1538.6 m2 (rounded to one decimal place)

Therefore, the cost of constructing the path at the rate of Rs. 25 per m2 would be:

Cost = Area x Rate per m2

= 1538.6 x 25

= Rs. 38,465.

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answer

objects are pulled toward Earth's center? Earth has a magnetic force that is strongest at its core. Earth has a much greater mass than objects on its surface. The weight of the atmosphere pushes objects toward Earth's surface

Answer:

Step-by-step explanation:

Answer:

-12 + 5(3) = total yards at the end

So your answer would be 3 yards

Step-by-step explanation:

Each week, Desiree earns $925 and pays $149 in payroll tax it will take Desiree at least 4 weeks to earn at least $3000 after taxes.

What is Gross earning ?

Gross earnings refer to the total amount of money that an individual earns before any deductions are taken out. These earnings can include regular salary or wages, as well as any bonuses, tips, or commissions that are earned. Gross earnings are usually reported on a paycheck or pay stub, and may be subject to various taxes and other deductions.

Desiree's net earnings after payroll tax can be calculated by subtracting the tax amount from her gross earnings:

Net Earnings = Gross Earnings - Payroll Tax

Net Earnings = $925 - $149

Net Earnings = $776

To earn at least $3000 after taxes, Desiree needs to earn a total of:

Total Earnings = $3000 + Payroll Tax

Total Earnings = $3000 + $149

Total Earnings = $3149

We can now set up an equation to solve for the number of weeks, x, it will take for Desiree to earn at least $3149:

Net Earnings per week * Number of Weeks = Total Earnings

$776 * x = $3149

Solving for x:

x = $3149 / $776

x = 4.05

Therefore, it will take Desiree approximately 4.05 weeks to earn at least $3000 after payroll tax. Since you can't earn partial weeks, we can round up to 5 weeks to ensure that Desiree has earned at least $3000.

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Answer:

265.65

Step-by-step explanation:

(3.75*39)+(27*5.95)-(11*3.75) = 265.65

Approximately 95% of scores lie between -1.96 and 1.96 z-scores. This is because the area under the standard normal distribution curve between these two values is approximately 0.95.

To calculate this, first calculate the area under the standard normal distribution curve between -1.96 and 1.96. This can be done by using a Z-score table, which provides the area under the curve to the left of a given value. To calculate the area between -1.96 and 1.96, subtract the area to the left of -1.96 from the area to the left of 1.96. This is approximately 0.95.

Since the total area under the curve is 1, this implies that approximately 95% of scores lie between -1.96 and 1.96 z-scores. This is commonly known as the "95% Rule," and it is a useful way to quickly estimate the amount of scores that are within a certain range.

It is important to note that this calculation is only an approximation, as the exact value depends on the actual values that are used. Therefore, it is important to use a Z-score table with more accurate values if more precision is needed.

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Consider the if a point is moved up, then its y-coordinate increases. While if the point is moved left then the x-coordinate decreases.

So the transformation corresponding to the movement of a point up by 2 units and left by 4 units can be described as follows,

The original coordinates (x,y) of points can be obtained from the graph, and the transformation can be applied to obtain the new coordinates.

The coordinates of point A will be as follows,

The coordinates of point B will be,

The coordinates of point C will be,

The coordinates of point D will be,

The coordinates of point E will be,

Thus, the original and new coordinates of each point are obtained.

Answer:

n ≥ 6.24/x

Step-by-step explanation:

Given that :

Amount spent is atleast $6.24

Let price spent = p

p ≥ $6.24

If cost of granola bar = x

The number of granola bars, n purchased will be :

n ≥ 6.24/x

Since cost of granola bar isn't given, we represent it as x.

Answer:2

Step-by-step explanation:

The straight-line distance and the shortest distance between point X and point Y will be 2,260 m and 2,361.78, respectively.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The distance between streets is around 80 m and the distance between avenues is around 260 m, as shown below.

The straight-line distance between point X and point Y will be given as,

⇒ (24 - 15) x 260 + (9 - 5) x 80

⇒ 2,340 + 320

⇒ 2,260 m

The shortest distance along the roads to get from point X to point Y will be given as,

D² = (2,340)² + (320)²

D² = 5,475,600 + 102,400

D² = 5,578,000

D = 2,361.78 meters

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The complete question is attached below.

Answer:

Step-by-step explanation:

Answer: the answer is 70

Step-by-step explanation:

The value of x is 70.

According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180, regardless of whether it is acute, obtuse, or right.

Given:

As, the two sides of Triangles are and angles opposite to equal sides are also equal.

So, the measure of two angles are x.

Now, using Angle Sum Property

x+ x + 40= 180

2x + 40= 180

2x = 140

x= 70

Hence, the value of x is 70.

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