PLEASE HELP GUYS:

A shopkeeper buys goods for £30 and sells them for £36. Calculate his percentage profit.

a: 4 maybe

b: origin?

I don't know if right, I am 10 and just started advanced math

In order to solve the given equations, we need to substitute z = 1 in the first equation; then we have:

\(\underbrace{{{x}^{2}}+{{y}^{2}}}_{{f}^{-2}}+1&=10\text{ or }{{x}^{2}}+{{y}^{2}}={{f}^{2}}=9 \\ {{x}^{2}}+{{y}^{2}}&=9 \\\)

It shows that the given equation represents a circle centered at the origin with radius 3 units.

The equation \(\[\underbrace{{{x}^{2}}+{{y}^{2}}}_{{f}^{-2}}+z=10\]\) can be written as

\(\[\underbrace{{{x}^{2}}+{{y}^{2}}}_{{f}^{-2}}=10-z\]\)

Now, we have two equations as follows:

\({{x}^{2}}+{{y}^{2}}={{f}^{2}}=9 \\\text{and }&{{x}^{2}}+{{y}^{2}}=10-z\)

As we know the intersection point is where the two circles intersect; thus, substituting one equation in the other, we get:

\({align}10-z&={{f}^{2}} \\ z&=10-{{f}^{2}} \\ z&=10-9=1 \\\)

Hence, the common points on the two circles are the points on the circle \(${{x}^{2}}+{{y}^{2}}=9$\) for which z=1.

Thus, the intersection of two surfaces is the circle of radius 3 and the plane z = 1.

To know more about intersection point visit:

brainly.com/question/14217061

#SPJ11

m=24=+(-9,1,3

        3

Step-by-step explanation:

Substitute n=3,\pm 1n=3,±1 into 3m-9n=243m−9n=24

Solve for mm in 3m-(-9,1,3)=243m−(−9,1,3)=24

The number of favorable outcomes for events A and B would be: (1,2,3,4)

The sample space that is used to determine the probability of A given B is  (2, 4.6)

The probability for event A and B occurring would be: 1/6

The probability of event A given event B will be 2/3

The sample space refers to the collection of all the outcomes that can be expected from a set of randome experiments. Probability refers to the number of favorable outcomes divided by the number of tottal outcocmes.

From the data given, the probability of getting an even number and a number less than 5 will be 5/6 amd this is in the same ratio as 2/3. The probability of event A and B occurring will be 1/6.

Learn more about probability here:

https://brainly.com/question/24756209

#SPJ1

If the slopes are equal, the reflected line segments are parallel.

When a line segment is reflected in the y-axis, its image is formed by reflecting each point on the segment across the y-axis.

This means that the x-coordinate of each point is negated, while the y-coordinate remains the same.
To draw the images of Wayne Street and George Street, we need to know their coordinates.

Let's assume that Wayne Street runs from (2, 3) to (6, 5), while George Street runs from (-1, -2) to (-5, -4).
When we reflect Wayne Street in the y-axis, we negate the x-coordinates and keep the y-coordinates the same.

This gives us the image of Wayne Street, which runs from (-2, 3) to (-6, 5).

Similarly, when we reflect George Street in the y-axis, we get the image of George Street, which runs from (1, -2) to (5, -4).
We need to consider the slopes of the original segments and their images.

The slope of Wayne Street is (5-3)/(6-2) = 1/2, while the slope of George Street is (-4-(-2))/(-5-(-1)) = -1/2.
When we reflect a line segment in the y-axis, its slope is negated.

So,

The slope of the image of Wayne Street is -1/2, while the slope of the image of George Street is 1/2.
Therefore, the images of Wayne Street and George Street are not parallel, since their slopes are opposite.

In fact, they are perpendicular to each other, since the product of their slopes is (-1/2) x (1/2) = -1/4, which is equal to -1 (the negative reciprocal of each other).

For similar question on slopes :

https://brainly.com/question/19131126

#SPJ11

Answer:

complementary

Step-by-step explanation:

because if r=s and the angles dont have a 90 degree angle it would be complement  

You are consuming approximately 275 grams of carbohydrates each day, based on a daily calorie intake of 2200 kcal and a diet consisting of 50% carbohydrates.

To calculate the number of grams of carbohydrates you are consuming, you need to convert the percentage into a decimal and multiply it by the total calorie intake. Since carbohydrates provide 4 calories per gram, you can divide the calorie intake by 4 to get the number of grams.

In this case, 50% of 2200 kcal is 1100 kcal. To convert this into grams, divide 1100 kcal by 4, which equals 275 grams. Therefore, you are consuming 275 grams of carbohydrates each day.

It's important to note that this calculation assumes that each gram of carbohydrates provides 4 calories, which is a general estimate. The actual caloric value may vary depending on the specific types of carbohydrates consumed.

Additionally, individual dietary requirements and preferences may also affect the distribution of macronutrients in a person's diet. It's always recommended to consult with a healthcare professional or registered dietitian for personalized nutritional advice.

To learn more about Carbohydrates, visit:

https://brainly.com/question/17724802

#SPJ11

The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.

The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.

Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):

275 liters / 1000 = 0.275 cubic meters

Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:

∛(0.275) ≈ 0.640

Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.

To know more about smallest possible inside length, refer to the link :

https://brainly.com/question/17304098#

#SPJ11

The estimation of 0.000007328 is \(7\times10^{-6\).

Estimation is he ability to guess the amount of anything without actual measurement.

The number (n) is given as:

\(\text{n}=0.000007328\)

Multiply by 1

\(\text{n}=0.000007328\times1\)

The number is to be rounded to the nearest millionth.

So, we substitute \(\frac{1000000}{1000000}\) for 1

\(\text{n}=0.000007328\times1\)

\(\text{n}=0.000007328\times\dfrac{1000000}{1000000}\)

This becomes

\(\text{n}=7.328\times\dfrac{1}{1000000}\)

Express the fraction as a power of 10

\(\text{n}=7.328\times10^{-6\)

Approximate to a single digit

\(\rightarrow\bold{n=7\times10^{-6}}\)

Therefore, the estimation of 0.000007328 is \(7\times10^{-6}\).

To know more about estimation, visit:

https://brainly.com/question/30200241

The solution to the given differential equation is y = x√(x² + x⁴ + xy²).

To solve the differential equation:

(v√(x² + y²)) dx - x(x + √(x² + y²)) dy = 0

We can use the method of exact differentials.

For a given differential equation of the form M(x, y) dx + N(x, y) dy = 0, it is exact if and only if the following condition holds:

∂M/∂y = ∂N/∂x

Let's check if the given equation satisfies this condition:

M(x, y) = v√(x² + y²)

N(x, y) = -x(x + √(x² + y²))

Taking the partial derivatives:

∂M/∂y = v(y / √(x² + y²))

∂N/∂x = -(2x + √(x² + y²) + x)

The condition for exactness requires ∂M/∂y = ∂N/∂x:

v(y / √(x² + y²)) = -(2x + √(x² + y²) + x)

Simplifying the equation:

v(y / √(x² + y²)) = -(3x + √(x² + y²))

To satisfy this equation for all values of x and y, the coefficients of corresponding terms on both sides must be equal.

v = -3 and y / √(x² + y²) = x

From the second equation, we have y = x√(x² + y²).

Substituting this back into the original equation:

y = x√(x² + (x√(x² + y²))²)

y = x√(x² + x²(x² + y²))

y = x√(x² + x⁴ + xy²)

To learn more on Differentiation click:

https://brainly.com/question/24898810

#SPJ4

Answer:

Step-by-step explanation:

(2x-1)(2x-1)  Work outside then inside

4x^2 and +1 are the outside terms

-2x and -2x are the inside terms

so the answer will be

4x^2 - 4x +1

The working equation when dealing with problems regarding compounded interest is

where A is the future value, P is the principal value, r is the annual rate, and n is the number of compounding periods.

The problem compounds quarterly, hence, we have n = 4.

We derive the working equation to solve for t, as follows:

Substitute the values of A, P, n, and r on the derived equation above and solve for t, we get

Therefore, the $4000 investment grows to $5780 in 9.25 years.

Answer:

.

.

.

.

.

..

.

.

.

.

.

.

.

.

.

.

.

.

.

.

Answer:

ii)  c = 4    iii) c = 8

Step-by-step explanation:

A = x axis intercept = 1/2 c

B = y axis intercept = c

ii)  Area of a triangle = 1/2 x base x height

                               4 = 1/2 x (1/2)c x c

                              c² = 16

                                c = 4

iii)  2√5 will be the hypotenuse of a right-angled triangle with base 1/4 c and height 1/2 c

(2√5)² = (1/4 c)² + (1/2 c)²

      20 = 1/16 c² + 1/4 c²

      20 = 5/16 c²

         c² = 64

          c = 8

Answer:

The square root of a negative number is an imaginary number. The square root of -100 is 10i where i is the imaginary unit. Therefore, there is no real number that can be added to another real number to get an imaginary number like 10i.

Step-by-step explanation:

Answer: The square root of a negative number is an imaginary number. The square root of -100 is 10i where i is the imaginary unit. Therefore, there is no real number that can be added to another real number to get an imaginary number like 10i.

The ratio of cups of flour to water for 6 batches is 18:6

18:6 = 3:1

The ratio is maintained.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

Two batches:

The ratio of cups of flour to water.

= 6: 2

= 3:1

Now,

For 1 batch.

The ratio of cups of flour to water.

= 3 : 1

Now,

For m batches.

The ratio of cups of flour to water.

= 3m : 1m

So,

For m = 6

The ratio of cups of flour to water.

= 18 : 6

Thus,

The ratio of cups of flour to water for 6 batches is 18:6.

Learn more about ratios here:

https://brainly.com/question/2462048

#SPJ9

The complete question.

For two batches the ratio is 6 cups of flour to 2 cups of water,

This means for every 3 cups of flour, you need 1 cup of water.

The ratio 3:1 is maintained.

Find the ratio for 6 batches

Answer: To solve this problem, we can use the equations of motion for projectile motion. Let's calculate the time of flight, horizontal distance, and maximum height of the ball.

Time of Flight:

The time of flight can be determined using the vertical motion equation:

where:

h = initial height = 3 ft

v₀y = initial vertical velocity = v₀ * sin(θ)

v₀ = initial speed = 125 ft/sec

θ = launch angle = 40 degrees

g = acceleration due to gravity = 32.17 ft/sec² (approximate value)

We need to solve this equation for time (t). Rearranging the equation, we get:

Using the quadratic formula, t can be determined as:

where:

Plugging in the values, we have:

Solving the quadratic equation for t, we get:

Therefore, the ball was in the air for approximately 7.29 seconds.

Horizontal Distance:

The horizontal distance traveled by the ball can be calculated using the horizontal motion equation:

where:

Plugging in the values, we have:

d = 95.44 * 7.29

d ≈ 694.91 feet

Therefore, the ball traveled approximately 694.91 feet horizontally.

Maximum Height:

The maximum height reached by the ball can be determined using the vertical motion equation:

Using the previously calculated values:

Plugging in these values, we can calculate the maximum height:

h = 80.21 * 7.29 - (1/2) * 32.17 * (7.29)²

h ≈ 113.55 feet

Therefore, the ball reached a maximum height of approximately 113.55 feet.

When peers at work offer suggestions to correct a weakness, it is important for the person to respond in a thoughtful and constructive manner.

Here are some guidelines for effectively addressing such suggestions:

Listen and be open-minded: Actively listen to the suggestions without becoming defensive or dismissive. Remember that your peers are offering their perspectives to help you improve. Keep an open mind and be willing to consider their viewpoints.

Express gratitude: Appreciate the effort and willingness of your peers to provide feedback. Thank them for their suggestions and acknowledge their input. Demonstrating gratitude fosters a positive and collaborative work environment.

Seek clarification, if needed: If you need further clarification on any of the suggestions, ask your peers for more information. This shows your commitment to understanding their feedback and ensures you can address the weakness effectively.

Reflect on the feedback: Take some time to reflect on the suggestions offered. Evaluate their validity and consider whether they align with your own self-assessment. Honest self-reflection is crucial in recognizing and addressing weaknesses.

Develop an action plan: Once you have understood the suggestions and reflected on them, create an action plan to address the weakness. Break down the steps you need to take to improve and set realistic goals for yourself. This proactive approach demonstrates your commitment to personal growth and professional development.

Seek support if necessary: If you require additional resources or assistance to address the weakness, don't hesitate to ask for help. Reach out to mentors, supervisors, or relevant professionals who can provide guidance or training. Collaborating with others can accelerate your progress in overcoming the weakness.

Communicate progress: Keep your peers informed about the steps you are taking to improve. Sharing your progress demonstrates your commitment to growth and allows them to see your efforts. It also encourages ongoing support and accountability from your colleagues.

Show resilience: Addressing weaknesses takes time and effort. Be prepared for setbacks and challenges along the way. Stay resilient and maintain a positive mindset, focusing on continuous improvement rather than being discouraged by temporary obstacles.

Remember, accepting and addressing weaknesses is a part of personal and professional growth. Embrace the feedback from your peers as an opportunity to enhance your skills and become a stronger professional.

Learn more about gratitude at: brainly.com/question/22047933

#SPJ11

The equation of the parabola is y = 2(x - 1)² + 3

From the question, we have the following parameters that can be used in our computation:

Vertex = (1. 3)

Point = (2, 5)

These parameters can be expressed as

(h, k) = (1, 3)

(x, y) = (2. 5)

A parabola can be represented as

y = a(x - h)² + k

Substitute the known values in the above equation, so, we have the following representation

y = a(x - 1)² + 3

Next, we have

5 = a(2 - 1)² + 3

Evaluate the difference and the exponent

5 = a + 3

So, we have

a = 2

Substitute a = 2 in y = a(x - 1)² + 3

y = 2(x - 1)² + 3

Hence, the equation is y = 2(x - 1)² + 3

Read more about parabola at

https://brainly.com/question/1480401

#SPJ1

Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)

The function find(A) finds indices and * 2 points values of nonzero elements of an array A, it is true.

The first statement, "Relational operators can be applied to * 2 points only one size vectors," is not clear. It seems to be an incomplete sentence. Relational operators can be applied to vectors of any size, not just vectors with a single size.

Regarding the second statement, let's analyze it:

If `a = [1:5]`, it means that `a` is a vector with elements `[1, 2, 3, 4, 5]`.

If `b = 5 - a`, it means that each element of `b` is obtained by subtracting the corresponding element of `a` from 5. Therefore, `b` would be `[4, 3, 2, 1, 0]`.

Now, let's evaluate the given options:

- "a = 0 23 45" is false because the elements of `a` are `[1, 2, 3, 4, 5]`, not `0, 23, 45`.

- "b = 43210" is true because the elements of `b` are indeed `[4, 3, 2, 1, 0]`.

Therefore, the correct statement is: "a = 0 23 45" is false, and "b = 43210" is true.

The `find(A)` function in some programming languages, such as MATLAB or Octave, returns the indices of nonzero elements in the array `A`. It allows you to identify the positions of non-zero elements and access their values.

Learn more about matlab here: brainly.com/question/13974197

#SPJ11

Answer:

=-5

Step-by-step explanation:

i did it on khan

The probability of not selecting a green marble is equal to the total number of non-green marbles in the bag divided by the total number of marbles in the bag.

To calculate the probability: there are three green marbles out of a total of twenty-five marbles, so the probability of selecting a green marble is 3/25.

The likelihood of not selecting a green marble is then 1 - 3/25 = 22/25.

This is equal to 22/25 * 100 = 88% as a percentage.

As a result, P(not green) = 88%

Probability denotes the possibility of something happening. It is a mathematical branch that deals with the onset of a random event. The value ranges from zero to one. Probability has been tried to introduce in mathematics to predict the probability of events occurring. Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also used in probability distribution, in which you will learn about the possible outcomes of a random experiment.

To know more about random event visit :-

https://brainly.com/question/15186748

#SPJ1

To determine the quadrant of x y, we need to find the signs of sin(x y) and cos(x y). Since sin(x y) is negative and cos(x y) is positive, we know that x y is in the fourth quadrant.

Since sin y= -2/3 and y is in the third quadrant, we know that the adjacent side is negative and the opposite side is negative in the following right triangle:

     |

     |   /|

 2   |  / |

     | /  |

     |/ y|

-----------

        -3

Using the Pythagorean theorem, we can find the hypotenuse:

     |

     |   /|

 2   |  / |

     | /  |

     |/ y|   2^2 + (-3)^2 = 13

-----------

        -3

So the sine and cosine of y can be found as:

sin y = -2/3

cos y = -sqrt(1 - sin^2 y) = -sqrt(1 - 4/9) = -sqrt(5/9) = -sqrt(5)/3

Since cos x = -1/5 and x is in the second quadrant, we know that the adjacent side is negative and the opposite side is positive in the following right triangle:

     |

     |   /|

     |  / |

     | /  |

x     |/   |

-----------

       -5

Using the Pythagorean theorem, we can find the hypotenuse:

     |

     |   /|

     |  / |

     | /  |

x     |/   |   x^2 + 5^2 = 26

-----------

       -5

So the sine and cosine of x can be found as:

sin x = sqrt(1 - cos^2 x) = sqrt(1 - 1/25) = 2sqrt(6)/5

cos x = -1/5

Now, we can use the identities sin(x y) = sin x cos y + cos x sin y and tan(x y) = sin(x y) / cos(x y) to find sin(x y) and tan(x y):

sin(x y) = sin x cos y + cos x sin y = (2sqrt(6)/5)(-sqrt(5)/3) + (-1/5)(-2/3)

        = (-2sqrt(30) - 2) / 15

cos(x y) = cos x cos y - sin x sin y = (-1/5)(-sqrt(5)/3) - (2sqrt(6)/5)(-2/3)

        = (2sqrt(30) - sqrt(5)) / 15

tan(x y) = sin(x y) / cos(x y) = [(-2sqrt(30) - 2) / 15] / [(2sqrt(30) - sqrt(5)) / 15]

        = (-2sqrt(30) - 2) / (2sqrt(30) - sqrt(5))

To determine the quadrant of x y, we need to find the signs of sin(x y) and cos(x y). Since sin(x y) is negative and cos(x y) is positive, we know that x y is in the fourth quadrant.

To learn more about right triangle visit:https://brainly.com/question/6322314

#SPJ11

The constants that have to multiply to eliminate one variable from the system are 12 and 5.

The equations are

5x+13y = 232

12x + 7y = 218

Elimination Method

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables

Both x term and y terms, choose x terms  and apply the elimination method

The coefficient of x in the first equation is 5 and 12 in the second equation

Coefficient is a number that is being multiplied by the variable. 2x+6x+14. The 2x, 6x, and 14 are terms because they are being added together. 2 and x; 6 and x are factors because they are being multiplied together. 2 from 2x and 6 from 6x are the coefficients because they are being multiplied by the variable.

To make it the same

Prime factorization

Prime factorization is a process of writing all numbers as a product of primes.

5 = 5×1

12 = 2×2×3

LCM (5, 12 ) = 2×2×3×5 = 60

Multiply the first equation by 12 and the second equation by 5

60x + 156y = 2784

60x + 35y = 1090

Subtract equation 2 from equation 1

121y = 1694

Eliminated x term

The constants that we have to multiply to eliminate one variable from the system are 12 and 5

The complete question is:

Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x + 13y = 232

12x + 7y = 218

To learn more about Elimination Method visit:

brainly.com/question/12090959

#SPJ4

Answer:

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

Imagine the height of the triangle is h, which is perpendicular to 15 m side.

The area is:

Use this formula and given values and find the value of h:

Since h is opposite to 30° angle and x is the hypotenuse of the formed right triangle, we'll use the property of 30°x60°x90° triangle.

In our case h is opposite to 30° angle, therefore we have:

Answer:

x = 16

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) absinC

where a, b are 2 sides of the triangle and C the angle between them

here a = 15, b = x, C = 30° and A = 60 , then

\(\frac{1}{2}\) × 15 × x × sin30° = 60

7.5x × \(\frac{1}{2}\) = 60 ( multiply both sides by 2 to clear the fraction )

7.5x = 120 ( divide both sides by 7.5 )

x = 16

Answer:

1 acre is equal to 43,560 square feet.

Step-by-step explanation:

Hope it helped!