share $90 between 1:3:5​

Answer:

I'm guessing you meant 3/13 of 18.

In that case, the answer would be 4.2 rounded to the nearest tenth (the actual answer is 4.15384615)

Sorry if this isn't the answer you were looking for.

Answer:

400

Step-by-step explanation:

hope this helps, have a good day

Answer:

It's -3

Step-by-step explanation:

I got it right on Edge 2020

Answer:

750 rupees is used to make shirt

250 rupees is profit

Step-by-step explanation:

If the retailer sold the shirt for 1000 rupees and got 25% profit then that means 1/4 is profit and 3/4 is how much the retailer spent to make the shirt.

So 1000 times 3/4 is 750 which is how much the shirt really cost and

1000 times 1/4 is 250 and that is the retailers profit.

Answer:

Coordinates of P:  (10,2)

Step-by-step explanation:

Slope of ST = (2-(-5))/(-4-3) = -1

angle S = 90° so Slope of SP = 1

P(10,2)

SPC is widely used in manufacturing, healthcare, and other industries to improve quality and efficiency.

The process you are referring to is called Statistical Process Control (SPC), which involves monitoring and analyzing a process to ensure it is within the acceptable range of variation. This is done by comparing the current amount of outcome variation against the established outcome specifications, allowing for corrective action to be taken if necessary. SPC is widely used in manufacturing, healthcare, and other industries to improve quality and efficiency.

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Process control is based on comparing the current amount of outcome variation against outcome specifications.

Process control is a management approach that involves monitoring and adjusting a process to ensure that it meets its intended outcome specifications.

The goal of process control is to maintain consistent outcomes over time, despite natural variation in the inputs or other factors that may affect the process.

In order to achieve this goal, process control typically involves monitoring the process using statistical methods and comparing the current level of variation in the process outcomes against the desired outcome specifications.

If the variation is within acceptable limits, the process is considered to be under control.

If the variation is outside of acceptable limits, the process may require adjustment or other corrective action to bring it back into control.

Overall, process control is an important tool in quality management, manufacturing, and other fields where consistent outcomes are critical to success.

By monitoring and adjusting processes over time, organizations can ensure that their products and services meet the needs and expectations of their customers, while minimizing waste, errors, and other sources of variation.

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Answer:

21.75

There is no step by step explanation for addition.

Reason:

Complementary events have their probabilities add to 1.

P(A)+P(B) = 1

P(B) = 1 - P(A)

For example,

P(A) = the chance it rains = 30% = 0.30

P(B) = the chance it doesn't rain

P(B) = 1 - P(A) = 1 - 0.30 = 0.70 = 70%

The equation that relates the probability of A and B is P(B) = 1 - P(A).

A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1.

As per the given data:

We are given two events, event A and event B.

We are also given the relationship between the two events.

It's given that A and B are complements of each other.

Let's assume that the probability of the event B is P(B).

The sample space for this situation when only 2 events are there will be

(A, B)

We are given that A and B are complements of each other.

This means that the complement of A is equal to the probability of event B.

P(A') = 1 - P(A)

P(B) = P(A')

∴ P(B) = 1 - P(A)

The equation that relates the probability of A and B is P(B) = 1 - P(A).

Hence, The equation that relates the probability of A and B is P(B) = 1 - P(A).

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The unit rate of the beef if it cost $14.40 for 4.5 pounds of beef is $3.2 per pound

The unit rate is the cost of each unit of an item at a particular time.

Cost of 4.5 pounds of beef = $14.40

Unit rate of beef = Total cost / Total pounds

= $14.40 / 4.5

= $3.2 per pound

Check:

Cost of 4.5 pounds of beef = unit cost of beef × pounds of beef

= $3.2 × 4.5

= $14.4

In conclusion, the unit rate of beef is given as $3.2 per pound.

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Answer:yes 60 x 60 = 3600

Step-by-step explanation:

The inequality for the number of toys he can buy is 8x + 6.50y ≤ 200

What is inequality?

In mathematics, inequalities describe the connection between two values that are not equal. Equal implies to be equal, not. The "not equal symbol ()" is typically used to indicate that two values are not equal.

Let number of cars be x

Let number of dolls be y

The maximum amount he can spend is $200

The cost of doll = $6.50

The cost of car = $ 8

The maximum amount he can spend on restocking is cars and doll is :

(Cost of cars × number of cars) + (cost of doll × number of dolls) ≤ maximum amount

8x + 6.50y ≤ 200

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Answer:

  144.2°

Step-by-step explanation:

You want the angle between these vectors:

The angle between the vectors can be found a number of ways. One we like is the angle of the ratio when they are expressed as complex numbers:

  (-3+8i)/(6 -4i) = (-3+8i)(6+4i)/(something real) = (-18-32 +48i +12i)

  = (-50 +36i)/(real number)

Then the angle is ...

  arctan(36/(-50)) ≈ 180° -35.8° = 144.2°

The angle between the vectors is about 144.2°.

Another way to find the angle is to find the difference of the angles of the vectors relative to the i direction.

  arctan(8/(-3)) -arctan(-4/6) = (180 -69.444)° -(-33.690°) = 144.2°

You can make use of the dot product relation:

  u•v = |u|·|v|·cos(angle)

Solving for the angle, we have ...

  angle = arccos(u•v/(|u|·|v|))

  angle = arccos((-3·6 +8·(-4))/√((3²+8²)(6²+4²)) = arccos(-50/√(73·52))

  = arccos(-50/√3796) ≈ arccos(-0.811534)

  angle ≈ 144.2°

__

Additional comment

The "something real" in the first solution is (6 -4i)(6 +4i) = 6² +4² = 52. Its value does not change the angle, so is irrelevant.

The arctangent function only gives angle values in the range -90° to +90°.  The only way the angle of vector u can be properly found is by considering the quadrant in which it must lie. If you're using a spreadsheet to find the angle, the ATAN2(x, y) function is appropriate. It takes quadrant into consideration (and returns the angle in radians).

As the second attachment shows, the angle is 144.2° when rounded to tenths. It is 144.25° when rounded to hundredths, which can be confusing, since 144.25° would round to 144.3°.

The first attachment shows the angle found using a geometry app to plot the vectors and display the angle.

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Answer:x=2;

y=5

each side is =8

Step-by-step explanation:

3x+2=2y-x

4x=2y-2

1)2x=y-1

2y-x=y+3

2)y=3+x

y-1=3+x-1=2x

2+x=2x

x=2;

y=5

3*2+2=8

The height of the cylinder is 5 m.

The surface area of a cylinder is \(28 \pi m^{2}\).

The total surface area of a cylinder is equal to the sum of the areas of all its faces. The total surface area with radius ‘r’, and height ‘h’ is equal to the sum of the curved area and circular areas of the cylinder.

Let's call the height of the cylinder "h". The surface area of a cylinder can be calculated as

Where r is the radius of the base.

Since the diameter of the base is 4 meters, the radius is 4/2 = 2 meters.

We know the surface area of the cylinder is \(28 \pi m^{2}\), so we can use this information to find h:

⇒\(28 \pi = 2 \pi(2)h + 2 \pi(2)^{2}\)

Expanding and simplifying the equation:

⇒28π = 4πh + 8π

Subtracting 8π from both sides:

⇒20π = 4πh

Dividing both sides by 4π:

⇒h = 5

Therefore, the height of the cylinder is 5 meters.

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f(x) = 2x + 10 is the equation in function notation given that an equation for measuring height of a balloon versus time is h=2t+10, where the variables h and t represents height and time respectively. This can be obtained by understanding what function notation is.

Here is an example of function notation and its meaning,

⇒ f(x) = x²

the name of the function is f, the input variable is x, the formula is x²

We can evaluate this function for a particular value of x

Here in the question it is given that,

We have to find the equation in function notation.

Let the name of the function be f, the input variable be x and the given formula will be 2x + 10.

Then the function notation can be written as,

f(x) = 2x + 10

Hence f(x) = 2x + 10 is the equation in function notation given that an equation for measuring height of a balloon versus time is h=2t+10, where the variables h and t represents height and time respectively.

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Answer:

h

Step-by-step explanation:

The 45% represents a descriptive statistic. Descriptive statistics are used to describe or summarize characteristics of a sample or population. In this case, the percentage of students living in the dormitories (45%) is a descriptive statistic that provides information about the sample of 800 students.

Descriptive statistics involve organizing, summarizing, and presenting data in a meaningful way. They are used to describe various aspects of a dataset, such as central tendency (mean, median, mode) and dispersion (variance, standard deviation). In this case, the percentage of students living in the dormitories (45%) is a descriptive statistic that describes the proportion of students in the sample who live in the dormitories.

Statistical inference, on the other hand, involves making conclusions or predictions about a population based on data from a sample. It uses techniques such as hypothesis testing and confidence intervals to make inferences about the population parameters.

In summary, the 45% represents a descriptive statistic as it provides information about the proportion of students living in the dormitories based on the sample of 800 students. It is not an example of statistical inference, a population, or a sample.

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The equation "ax2 = y," which has one solution unless a = 4, and none unless a = 4, has a solution. x = √(-4ay) / (2a) restricted by the condition that y be negative.

We may use the quadratic formula to determine the solutions to an equation for various values of an to construct a solution to the equation "ax² = y," which has no solution when a = 4 & just one solution in all other cases.

According to the quadratic formula, the answers to the problem "ax2 + bx + c = 0" are provided by

x = (-b +/- √(b² - 4ac)) / (2a)

In this formula, if we add "ax² = y," we obtain

x = (-0 +/- √(0² - 4ay)) / (2a)

which simplifies to

x = √(-4ay) / (2a)

If a = 4, the equation becomes

x = √(-16y) / 8

The equation has no solutions if y is positive because the value of (-16y) is fictitious. The value of (-16y) is real if y is negative, but the equation is still unsolvable since x cannot have a negative value. As a result, when a = 4, the problem has no solutions.

The equation has a single solution provided by any other value of a.

x = √(-4ay) / (2a)

For example, if a = 3, the equation becomes

x = √(-12y) / 6

Since √(-12y) is imaginary if y is positive, the problem has no solutions. If y is negative, √(-12y) has a real value, and there is only one solution to the problem.

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The solution of the sum of the numbers will be 5.

To make the addition easier, we can first simplify the fractions by finding a common denominator. The smallest common multiple of 2, 3, and 4 is 12. We can rewrite the fractions with this denominator:

7/4 = (7/4) x (3/3) = 21/12

1/2 = (1/2) x (6/6) = 6/12

5/3 = (5/3) x (4/4) = 20/12

1/3 = (1/3) x (4/4) = 4/12

1/4 = (1/4) x (3/3) = 3/12

1/2 = (1/2) x (6/6) = 6/12

Now we can add the fractions together:

21/12 + 6/12 + 20/12 + 4/12 + 3/12 + 6/12

Combining like terms, we get:

60/12 = 5

So the sum of the original fractions is equal to 5.

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In the given problem, the sum of \(\frac{4}{6}\) and \(\frac{4}{6}\) is \(\frac{4}{3}\).

The sum is the result of adding two or more numbers or terms. In other words, it is the process of bringing two or more numbers together to produce a new result or total. The symbol for the sum is "+".

The sum can be performed on any kind of number, including whole numbers, integers, rational numbers, real numbers, and complex numbers. The rules for addition are the same for all types of numbers.

To find the sum of \(\frac{4}{6}\) and \(\frac{4}{6}\),

\(\frac{4}{6}\) +  \(\frac{4}{6}\) = 2 \(\times \ \frac{4}{6}\)

        = \(\frac{4}{3}\).

So, \(\frac{4}{6}\) +  \(\frac{4}{6}\) = \(\frac{4}{3}\).

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(a) The probability of having at least one girl is 1 - 0.0625 = 0.9375 or 93.75%.

(b) The probability that all the children will be of the same gender is 0.0625 + 0.0625 = 0.125 or 12.5%.

The probability of having at least one girl can be calculated by finding the probability of having no girls and subtracting it from 1.

Assuming that the probability of having a boy or a girl is equal (0.5), the probability of having no girls is (0.5)^4 = 0.0625.

Therefore, the probability of having at least one girl is 1 - 0.0625 = 0.9375 or 93.75%.

(b) The probability that all the children will be of the same gender is 0.0625 + 0.0625 = 0.125 or 12.5%.

The probability that all the children will be of the same gender can be calculated by finding the probability of having all boys and adding it to the probability of having all girls.

The probability of having all boys is (0.5)^4 = 0.0625, and the probability of having all girls is also 0.0625.

Therefore, the probability that all the children will be of the same gender is 0.0625 + 0.0625 = 0.125 or 12.5%.

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Answer:

Step-by-step explanation:

y=x^2+1

y=(-3)^2+1

y=9+1

y=10

(x,y)-> (-3,10)

The vertex is at (-2, -9).

From the equation:

y = x² + 4x - 5

Transpose the c-value to the left side of the equation:

y + 5 = x² + 4x

Complete the square of the expression on the right side of the equation to get a perfect square trinomial:

y + 5 = x² + 4x + 4 - 4

by adding and subtracting 4 to the right side of the equation to maintain its balance.

Add the numbers on the left and factor the trinomial on the right:

y + 9 = (x + 2)²

Transpose the number across to the right side to get the equation into the vertex form, y = a(z-h)² + k:

y = (x + 2)² - 9

Make sure the addition and subtraction signs are correct to give the proper vertex form.

Here, the vertex is at (-2, -9).

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Given:-

To find:-

Answer:-

1) Firstly we are told to transpose the c value to LHS .

With respect to standard form of a quadratic equation, \( ax^2+bx + c \) ,the value of c here will be -5 . So on transposing c to LHS , we have;

\(\implies y + 5 = x^2 + 4x\\\)

w) Next we are told to complete the square on the RHS of the equation. For that add and subtract 4 .

\(\implies y + 5 = x^2 + 4x + 4 - 4 \\\)

\(\implies y + 5 =\{ (x)^2 + 2.2.x + 2^2 \}- 4\\\)

The terms inside the curly brackets are in the form of \( a^2+2ab + b^2\) , which is the whole square of \( (a + b )\) . That is \( ( a + b)^2\) . So , we can rewrite it as ,

\(\implies y + 5 = (x +2)^2 - 4 \\\)

\(\implies y + 5 + 4 = (x+2)^2 \\\)

3) Next we have to add the number on the left and factor the trinomial on right as ,

\(\implies y + 9 = (x+2)^2 \\\)

4) Now we are told to transpose the number on the LHS to RHS and get the equation into vertex form which is \( y = a(z-h)^2+ k \) .

\(\implies\underline{\underline{ y = (x+2)^2 - 9}} \\\)

This is our required answer in vertex form. Also on comparing to the standard equation of vertex form, we have;

\(\implies vertex = ( -2,-9) \\\)

and we are done!

the number of minutes joe and his friends spent watching movies are 4920 minutes.

Given is that joe and his friends watched a total of 41 movies this past year. if a typical movie lasts approximately 2 hours.

Assume that the number of minutes joe and his friends spent watching movies is given by [x]. Then, we can write -

[x] = 41 x 2 x 60

[x] = 41 x 120

[x] = 4920 minutes.

Therefore, the number of minutes joe and his friends spent watching movies are 4920 minutes.

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The indefinite integral of x(5x^2 - 5)^9 dx is:

(5x^2 - 5)^8 / 40 + c

We can find the indefinite integral using the following steps:

1. We can write the integral as (5x^2 - 5)^9 * x^1 dx.

2. We can use the power rule of integration, which states that the integral of x^n dx is x^(n + 1) / (n + 1) + c, where c is the constant of integration.

3. We can simplify the result and add the constant of integration.

The following is the step-by-step solution:

```

∫ x(5x^2 - 5)^9 dx = ∫ (5x^2 - 5)^9 * x^1 dx

= (5x^2 - 5)^9 / 9 + c

```

To check the result, we can differentiate the result and see if we get the original integral.

```

d/dx [(5x^2 - 5)^8 / 40 + c] = (5x^2 - 5)^8 * (10x) / 40 + 0 = x(5x^2 - 5)^8 = ∫ x(5x^2 - 5)^9 dx

```

As we can see, we get the original integral back. Therefore, the answer is correct.

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Answer:

d > -3/16

Step-by-step explanation:

Integration by ordinary substitution is a general technique for simplifying integrals by changing variables, while integration by trigonometric substitution is a specific technique for evaluating integrals involving square roots and trigonometric functions.

Integration by ordinary substitution and integration by trigonometric substitution are two different techniques used to evaluate integrals in calculus.

Integration by ordinary substitution, also known as u-substitution, involves making a change of variables to simplify the integral. It is based on the chain rule for differentiation. The general steps for integration by ordinary substitution are as follows:

1. Identify a part of the integrand that can be replaced by a single variable, denoted by u.

2. Compute the derivative du/dx of the new variable u.

3. Substitute the expression for u and du into the integral, replacing the original integrand.

4. Integrate the resulting expression with respect to u.

5. Replace the variable u with the original variable or expression to obtain the final result.

Integration by trigonometric substitution, on the other hand, is a technique specifically used for integrals involving square roots of quadratic expressions or expressions with a combination of squares. It is based on trigonometric identities and is particularly useful when dealing with integrals that can be simplified using trigonometric functions. The general steps for integration by trigonometric substitution are as follows:

1. Identify a part of the integrand that can be expressed in terms of a trigonometric function.

2. Make a substitution using a trigonometric identity to replace the relevant part of the integrand.

3. Express all other terms in the integrand in terms of the same trigonometric function.

4. Simplify the integral using trigonometric identities and algebraic manipulations.

5. Integrate the resulting expression with respect to the new variable (usually denoted by θ).

6. Replace the trigonometric function with the original variable or expression to obtain the final result.

In summary, integration by ordinary substitution is a general technique for simplifying integrals by changing variables, while integration by trigonometric substitution is a specific technique for evaluating integrals involving square roots and trigonometric functions.

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Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

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