Last year Billy weighed 75kg. This year he weighed 90kg. With what percentage did his weight increase?

Answer:

3/12 or 1/4

Step-by-step explanation:

Answer:

1/4 is the answer.

Step-by-step explanation:

3/4 x 1/3​

=> 3/12

=> 1/4

Therefore, 1/4 is the answer.

Hoped this helped.

Answer:

x = 5/4

y = 15/16

Step-by-step explanation:

Let's solve your system by substitution.

y = 3/4x; 5/2x + 2y = 5

Answer:-3

Step-by-step explanation: -7 -4

It makes intuitive sense to presume that a linear differential equation of the form:

y'(x) + p(x)y(x) = q(x)

Generally, It makes intuitive sense to presume that a linear differential equation of the form:

y'(x) + p(x)y(x) = q(x)

has a solution of the form:

y(x) = Ae^(-∫p(x)dx) + u(x)

where A is a constant, u(x) is a particular solution to the differential equation, and e^(-∫p(x)dx) is the integrating factor.

This is because multiplying both sides of the differential equation by the integrating factor gives:

e^(-∫p(x)dx) y'(x) + p(x) e^(-∫p(x)dx) y(x) = q(x) e^(-∫p(x)dx)

The left-hand side can be rewritten using the product rule as:

(d/dx)(y(x) e^(-∫p(x)dx)) = q(x) e^(-∫p(x)dx)

Integrating both sides gives:

y(x) e^(-∫p(x)dx) = ∫q(x) e^(-∫p(x)dx) dx + C

where C is an arbitrary constant.

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A helium tank shaped like a cylinder has 2,401π in³ of space inside the tank. If the diameter of the helium tank is 14 inches,  its height is 1 inch.

Volume is a measure of the amount of space occupied by a three-dimensional object or a region of space. It is usually measured in units such as cubic meters (m³), cubic centimeters (cm³), cubic inches (in³), or liters (L).

For a solid object, such as a cube, cylinder, or sphere, volume is calculated by measuring the length, width, and height of the object and using a formula that is specific to that shape. For irregularly shaped objects, such as rocks or trees, volume can be determined by using techniques such as water displacement.

The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

In this case, we are given the diameter of the cylinder, which is 14 inches. The radius of the cylinder is half of the diameter, so r = 7 inches.

We are also given the volume of the cylinder, which is 2,401π cubic inches.

Using the formula for the volume of a cylinder, we can set up the following equation:

2,401π = π(7)²h

Simplifying this equation, we get:

2,401 = 49h

Dividing both sides by 49, we get:

h = 49/49 = 1

Therefore, the height of the helium tank is 1 inch.

However, this answer seems unlikely since the height of the tank should be greater than its radius. Therefore, there may be an error in the given volume or diameter of the tank.

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the answer is A its height is 49

The equation of the inverse function is f'1(x) = x^2 + 6 and the domain is all set of real numbers

The function f(x) is given as

f(x) = √x -6

Rewrite as

y = √x -6

Switch/swap the positions of x and y in the above equation

The equation becomes

x = √y -6

Make y the subject of the formula in the above equation

The equation becomes

y - 6 = x^2

Add 6 to both sides

y = x^2 + 6

Rewrite as an inverse function

f'1(x) = x^2 + 6

Hence, the inverse function is f'1(x) = x^2 + 6

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Answer:

f(×)=(×+6)^2;×>-6 there we go..

The pair of points represent a 180 rotation around the origin is D. '(-7, 2)

In order to determine if a pair of points represents a 180-degree rotation around the origin, we need to check if the second point is the reflection of the first point across the origin. In other words, if (x, y) is the first point, the second point should be (-x, -y).

When a point is rotated 180 degrees around the origin, the x-coordinate and y-coordinate are both negated. In other words, the point (x, y) becomes the point (-x, -y).

In this case, the point (7, -2) becomes the point (-7, 2). This is the only pair of points where both the x-coordinate and y-coordinate are negated.

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Answer:

lol

Step-by-step explanation:

literally where's the question only answer??

Answer:

???

Step-by-step explanation:

9. The solution is (x, y) = (4/3, -5/3).

10. The solution is (x, y) = (1, 2).

The coefficient matrix is:

| -1  5 |

|  1 -2 |

The determinant of the coefficient matrix is:

|-1  5 |      |-2  5 |

| 1 -2 |  = (-1)(-2) - (5)(1) = 3

The matrix formed by replacing the first column of the coefficient matrix with the constants on the right side of the equation is:

| 2  5 |

|-2 -2 |

The determinant of this matrix is:

| 2  5 |      | -2  5 |

|-2 -2 |  = (2)(-2) - (5)(-2) = -4 + 10 = 6

|-1  2 |

| 1 -2 |

The determinant of this matrix is:

|-1  2 |     | 1  2 |

| 1 -2 | = (-1)(-2) - (2)(1) = 2

Using Cramer's rule:

x = |2  5| / 3 = 4/3

   |-2 -2|

y = |-1 2| / 3 = -5/3

   |1 -2|

10.The coefficient matrix is:

| -5 -5 |

| -2 -4 |

The determinant of the coefficient matrix is:

|-5 -5 |      |-2 -5 |

|-2 -4 |  = (-5)(-4) - (-5)(-2) = -10

The matrix formed by replacing the first column of the coefficient matrix with the constants on the right side of the equation is:

| 25 -5 |

| 16 -4 |

The determinant of this matrix is:

| 25 -5 |     | 16 -5 |

| 16 -4 | = (25)(-4) - (-5)(16) = -100 + 80 = -20

|-5 25 |

|-4 16 |

The determinant of this matrix is:

|-5 25 |     |-4 25 |

|-4 16 | = (-5)(16) - (25)(-4) = -80 -(-100) = 20

Using Cramer's rule:

x = |-5 -5| / -10 = 1

   |-2 -4|

y = |-5 25| / -10 = 2

   |-4 16|

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The AOB 36V hoverboard has a higher speed and is faster.

To determine which hoverboard is faster, we need to compare their speeds. Speed is defined as the distance traveled per unit of time. In this case, we are given the distances traveled by each hoverboard in a specific amount of time.

The Jetson Sphere hoverboard travels 10 feet in 1/2 second, while the AOB 36V hoverboard travels 8 feet in 1/3 of a second.

To compare their speeds, we can calculate the speed for each hoverboard by dividing the distance traveled by the time taken.

For the Jetson Sphere hoverboard:

Speed = Distance / Time = 10 feet / (1/2 second) = 10 feet * 2 = 20 feet per second

For the AOB 36V hoverboard:

Speed = Distance / Time = 8 feet / (1/3 second) = 8 feet * 3 = 24 feet per second

Comparing the speeds, we can see that the AOB 36V hoverboard has a speed of 24 feet per second, while the Jetson Sphere hoverboard has a speed of 20 feet per second. Therefore, the AOB 36V hoverboard is faster.

We know this because the AOB 36V hoverboard covers a greater distance in the same amount of time compared to the Jetson Sphere hoverboard. It travels 24 feet in 1 second, while the Jetson Sphere hoverboard travels only 20 feet in the same time. Thus, the AOB 36V hoverboard has a higher speed and is faster.

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The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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Answer:

EF = 58

Step-by-step explanation:

Find the diagram of the question attached.

According to the addition postulate;

DE+EF = DF

Given

DE = 47

EF = 3x+10

DF = 9x-39

Substitute into the addition postulate formula and get x

47+3x+10= 9x-39

Collect like terms

3x-9x = -39-10-47

-6x = -96

x = -96/-6

x = 16

Next is to evaluate EF:

EF = 3x+10

EF = 3(16)+10

EF = 48+10

EF = 58

Hence the measure of EF is 58

Answer:

A

Step-by-step explanation:

because the less than or equal to sign is a closed circle not open

Answer:

A. 100

Step-by-step explanation:

84

Step-by-step explanation:

c + 100 =180

c=180-100

c=80

100+96+d+c=360

100+96+d+80=360

276+d=360

d=360-276

d=84

When we substitute these values into the equation, we get the required rate of return on AA Corporation's stock as 8.4%.

Required return on stock = Risk-free rate + Beta x (Market return - Risk-free rate)

Required return on stock = 4% + 0.8 x (12% - 4%)

Required return on stock = 8.4%

The required rate of return on AA Corporation's stock is 8.4%. To calculate this, we use the formula required return on stock = risk-free rate + beta x (market return - risk-free rate). In this equation, the risk-free rate is 4%, the beta of AA Corporation's stock is 0.8 and the expected return on the market is 12%. The risk-free rate remains constant, the beta of the stock gives an indication of its volatility and the market return reflects the overall performance of the market. When we substitute these values into the equation, we get the required rate of return on AA Corporation's stock as 8.4%.

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Answer:

$2250

Step-by-step explanation:

if the cost of the washing machine is 70% of the cost she paid. then the cost of the dryer must be:

100-70 =30%

Now, to find the cost of the dryer, you just have to find 30%of 7500

30/100x 7500 = 2250

Thus, the dryer costs $2250.

Hope this helps.

Good luck

Answer:

Step-by-step explanation:

17

Answer:

B

Step-by-step explanation:

950 is an even number.

Step-by-step explanation:

Hello,

Let's say a the  first term and r the ratio  of the G.P.

\(u_1=a=81\\u_2=a*r\\u_3=a*r^2\\u_4=a*r^3\\\\\dfrac{u_4}{u_1} =\dfrac{a*r^3}{a} =r^3=\dfrac{24}{81} =\dfrac{8}{27} \\\\r=\sqrt[3]{\dfrac{8}{27} } \\\\\boxed{r=\dfrac{2}{3}}\\\)

Out of the given options, Option D (a+5, b+5, c+5) does not necessarily represent side lengths of a right triangle.

For a set of three numbers to represent the side lengths of a right triangle, they must satisfy the Pythagorean theorem, which states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In mathematical terms, for side lengths a, b, and c (where c is the hypotenuse), the Pythagorean theorem can be represented as a² + b² = c²

In this case, the correct option is D.

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The standard form equation of the ellipse with vertices (0, ±4) and co-vertices (±2, 0) is (x²/4) + (y²/16) = 1.

To find the standard form equation of an ellipse, we use the equation (x²/a²) + (y²/b²) = 1, where a and b are the semi-major and semi-minor axes, respectively.

Since the vertices are (0, ±4), the distance between them is 2a = 8, giving us a = 4. Similarly, the co-vertices are (±2, 0), and the distance between them is 2b = 4, resulting in b = 2.

Plugging in the values for a and b, we get (x²/(2²)) + (y²/(4²)) = 1, which simplifies to (x²/4) + (y²/16) = 1.

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1. P-adic Numbers:

P-adic numbers are a specialized alternative not commonly used as a continuity strategy in mathematics. They are an extension of the real numbers that provide a different way of measuring and analyzing numbers. P-adic numbers are based on a different concept of distance, known as the p-adic metric. This metric assigns a measure of closeness or distance between numbers based on their divisibility by a prime number, p. P-adic numbers have unique properties and can be useful in number theory, algebraic geometry, and other branches of mathematics. However, they are not typically employed as a continuity strategy in practical applications.

2. Nonstandard Analysis:

Nonstandard analysis is a mathematical framework that provides an alternative approach to calculus and analysis. It introduces new types of numbers called "infinitesimals" and "infinite numbers" that lie between the standard real numbers but are infinitely smaller or larger than any real number. Nonstandard analysis allows for more rigorous treatment of infinitesimal quantities and provides a different perspective on limits, continuity, and differentiation. While nonstandard analysis has theoretical implications and can provide valuable insights in mathematical research, it is not commonly used as a continuity strategy in practical applications where standard analysis and calculus are more prevalent.

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Answer:

9

Step-by-step explanation:

Answer:

5a+9b

Step-by-step explanation:

-3a from 8a then add 5b to4b then you get 5a+9b

Answer:

The answer is

C = 37.7 m. (meters)

Expression

\(bc + 1 - (8d - 4)\)

Equation

\( {w}^{4} = 81\)

Inequality

\(63 < 9k\)

Case 2

The quadratic equation x² - 14 · x + 48 = 0 have the following roots: x₁ = 6 and x₂ = 8. (Correct choice: B)

Case 3

We need to add + 64 to both sides. (Correct choice: B)

Case 4

We need to add + 16 to both sides. (Correct choice: C)

In this problem we find three cases of quadratic equation that are not perfect square trinomials, these equations can be rewritten partially in that form by algebra properties. Completing the square offers a quick method to determine the roots of quadratic equations with integer coefficients. Now we proceed to determine the solutions corresponding to each case:

Case 2

x² - 14 · x + 48 = 0

x² - 14 · x + 49 = 1

(x - 7)² = 1

x - 7 = ± 1

x = 7 ± 1

The roots of the quadratic equation x² - 14 · x + 48 = 0 are x₁ = 6 and x₂ = 8, respectively.

Case 3

x² - 16 · x = - 21

x² - 16 · x + 64 = 64 - 21

(x + 8)² = 43

The first step consists in adding both sides by + 64.

Case 4

x² - 8 · x = 0

x² - 8 · x + 16 = 16

(x - 4)² = 16

The first step consists in adding both sides by + 16.

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Answer:

A vector graphic consists of a set of instructions for creating a picture is a true statement.

Step-by-step explanation:

A vector graphic is an image format that represents images as a set of mathematical instructions or geometric primitives such as lines, curves, and shapes. Instead of using a grid of pixels like raster graphics, vector graphics define images based on mathematical formulas and coordinates.

These instructions or mathematical representations describe the shapes, colors, and other visual attributes of the image. They allow the image to be scaled, resized, and manipulated without loss of quality since the instructions can be recalculated and redrawn at any resolution or size.

Vector graphics are often created and edited using specialized software such as Adobe Illustrator, CorelDRAW, or Inkscape. They are commonly used for logos, illustrations, diagrams, typography, and other graphical elements where scalability and flexibility are important.

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