Please help it’s due in the morning!

The optimal solution for the amount of cash to withdraw each time to minimize transportation costs and maximize interest earnings is determined by calculating the Economic Order Quantity (EOQ) using the formula Q = √((2 * C * T) / r), and rounding the result to a convenient amount.

The Economic Order Quantity (EOQ) model is typically used for inventory management, not for optimizing cash withdrawals. However, if we assume that the question is seeking an optimal withdrawal strategy to minimize transportation costs and maximize interest earnings, we can approach it as follows:

Let's denote:

C = Annual cash need ($5,000)

T = Transportation cost per visit ($5)

r = Annual interest rate (5%)

To find the optimal solution for the amount of cash to withdraw each time, we can consider the trade-off between transportation costs and interest earnings. The objective is to minimize the total cost.

Calculate the optimal order quantity (Q) using the EOQ formula:

Q = √((2 * C * T) / r)

Round the calculated Q to the nearest convenient amount, such as multiples of $100 or $500.

The optimal solution would be to withdraw the rounded Q amount each time to minimize transportation costs while still meeting the annual cash need.

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Answer:

a=82°

b=32°

Step-by-step explanation:

x is the reflection of b

y is the reflection of a

Answer:

x=12

Step-by-step explanation:

2³⁹/8⁹=2^x

simplify

2³⁹/2²⁷

2³⁹-²⁷

=2¹²=2^x

x=12

Answer:

18 +2

Step-by-step explanation:

it's like 3x you just add each side 3 then you will get the answer. and the (+2) stays the same.

The number of people attending affects how much food is prepared for a catered event. The number of people attending is the explanatory variable in this scenario.

One kind of independent variable is an explanatory variable. Both words are frequently used interchangeably. This is the variable that changes as we change it or watch it change. In other words, it is a factor that a researcher has changed in an experiment.

In the given situation, the number of people attending is an explanatory variable and the amount of food prepared is a dependent variable. As the number of people attending increases, the amount of food prepared also increases. This means the effect of one variable alters the effect of another variable. The change of one variable is called an independent variable while the change that occurs because of the independent variable is a dependent variable.

Therefore, the required answer is the number of people attending.

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Answer:

1. Median

2. Altitude

3.  Altitude

4. Neither

Step-by-step explanation:

Median- splits the side into two congruent parts

Altitude- Makes a right  angle

1. Splits the side. Median

2. Makes a right angle. Altitude

3.  Makes a right angle. Altitude

4. Doesn't make a right  angle or split the sides. Neither

The random variable n is defined as the smallest integer value of k for which the sum of the first k random variables in the sequence is greater than or equal to the constant c.

We have a sequence of independent uniform [0,1] random variables, denoted as x1, x2, x3, and so on. We also have a fixed constant c, which belongs to the interval [0,1].
Now, we want to define a random variable called n using these terms. The random variable n represents the smallest integer value k, such that the sum of the first k random variables in the sequence (x1 + x2 + ... + xk) is greater than or equal to the constant c.

To illustrate this, let's break down the steps involved in finding the value of n:
1. Start with k = 1.
2. Calculate the sum of the first k random variables: (x1 + x2 + ... + xk).
3. If the sum obtained in step 2 is greater than or equal to c, then stop and assign the value of n as k.
4. If the sum obtained in step 2 is less than c, increment k by 1 and repeat steps 2 and 3.
5. Continue repeating steps 2 to 4 until we find the smallest k such that the sum is greater than or equal to c. Assign this value of k as n.

So, in summary, the random variable n is defined as the smallest integer value of k for which the sum of the first k random variables in the sequence is greater than or equal to the constant c.
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Answer:

4. \( x = 3y^2 [\tex]

Step-by-step explanation:

For an equation to be considered a function, there must be only one possible y-value for each value of x. That is, every x-value should have at exactly one y-value.

The equation, \( x = 3y^2 [\tex], is not a function, because there would be two possible values of y for any given x-value.

For example, let's say the x value given is 12.

Plug in 12 for x in the equation and try solving for y:

\( x = 3y^2 [\tex]

\( 12 = 3y^2 [\tex]

Divide both sides by 3

\( \frac{12}{3} = \frac{3y^2}{3} [\tex]

\( 4 = y^2 [\tex]

Take the square root of both sides

\( \sqrt{4} = \sqrt{y^2} [\tex]

\( \sqrt{4} = y [\tex]

\( y = \sqrt{4} [\tex]

\( y = -2 or 2 [\tex]

As you can see, there are two values of y (2, -2) for an x-value (12).

This does not represent a function.

Given equation \(x=3y^{2}\) is not function.

Thus, option (4) is correct.

A function is a relation in which each possible input value leads to exactly one output value.

The output is a function of the input and The input values make up the domain, and the output values make up the range.

In equation  x=y-2 , each possible input value leads to exactly one output value. So, this is function.

In equation  \(y=3x^{2}\), each possible input value leads to exactly one output value. So, this is function.

In equation   y=2x+3, each possible input value leads to exactly one output value. So, this is function.

In equation,  \(x=3y^{2}\),

substitute  x = 1

We get,     \(1=3y^{2} \\\\y=\pm\frac{1}{\sqrt{3} }\)

So, for single input value we get two value of output.

Therefore, equation \(x=3y^{2}\)is not function.

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Answer:160

Step-by-step explanation:

3:1 the difference is 2 right now

80/2=40

multiply both sides by 40 to get 120:40

120-40=80

120+40=160

Answer:

When adding numbers to a number line you're going left when subtracting negative it's like adding a positive so you're going to the right

Answer:

1 is 1/9 2 is 1/9 3 is 5/9 4 is 8/9

Step-by-step explanation:

A(Ab AC AA) B(ba bb bc) C(ac bc cc)

Answer:

Step-by-step explanation:

Length ( L ) = 8 cm

Perimeter of square = 4 L

( where L is the side of the square )

Plug the value of length

⇒\( \sf{4 \times 8}\)

Multiply the numbers

⇒\( \sf{32 }\) cm

Hope I helped!

Best regards!

Answer:

\(\huge \boxed{\mathrm{32 \ cm}}\)

Step-by-step explanation:

The formula to calculate the perimeter of a square is given as:

\(\sf Perimeter = 4 \times side \ length\)

The side length of the square is 8 centimeters.

\(P=4 \times 8\)

Solve for the perimeter.

\(P=32\)

The perimeter of the square is 32 centimeters.

A two point charges are held in place along with equation of the x-axis:

1.E1x = (k × (-27Q0)) / (-5a)²

2.E1y = 0

3.E2x = (k ×(55Q0)) / (9a)²

4.E2y = 0

5.E= √((E1x + E2x)²)

6.F3x = (k ×(-27Q0) × (+115Q0)) / (-5a)²

7.F3x = (k × (-27Q0) × (-115Q0)) / (-5a)²

To determine the electric field at point P, we need to consider the contributions from both point charges Q1 and Q2.

The x-component of the electric field from Q1 at point P can be calculated using Coulomb's law:

E1x = (k × Q1) / r1²

Here, k represents the electrostatic constant, Q1 is the charge of Q1, and r1 is the distance between Q1 and point P along the x-axis.

Given that Q1 = -27Q0 and the distance between Q1 and point P is x1 = -5a, we can substitute these values into the formula:

E1x = (k × (-27Q0)) / (-5a)²

The y-component of the electric field from Q1 at point P is zero since Q1 is located on the x-axis.

E1y = 0

The x-component of the electric field from Q2 at point P can also be calculated using Coulomb's law:

E2x = (k × Q2) / r2²

Here, Q2 = +55Q0 and the distance between Q2 and point P is x2 = 9a:

E2x = (k × (55Q0)) / (9a)²

The y-component of the electric field from Q2 at point P is also zero since Q2 is located on the x-axis.

E2y = 0

To calculate the magnitude of the net electric field at point P, we can use the Pythagorean theorem:

E = √((E1x + E2x)² + (E1y + E2y)²)

Since E1y and E2y are both zero, the equation simplifies to:

E = √((E1x + E2x)²)

If we place another point charge q3 = +115Q0 at point P, the x-component of the net force on it can be calculated using Coulomb's law:

F3x = (k × Q1 × q3) / r1

Here, Q1 = -27Q0 and q3 = +115Q0, and the distance between Q1 and point P is x1 = -5a:

F3x = (k × (-27Q0) × (+115Q0)) / (-5a)²

If the sign of q3 is changed to q3 = -115Q0, the x-component of the net force on it can be calculated as:

F3x = (k × Q1 ×q3) / r1²

Here, Q1 = -27Q0 and q3 = -115Q0, and the distance between Q1 and point P is x1 = -5a:

F3x = (k ×(-27Q0) ×(-115Q0)) / (-5a)²

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1. To find two starting terms for a Diginacci sequence such that the 2021st term is 11, we can work backward from the 2021st term to determine the preceding terms.

Let's denote the first term as a and the second term as b. We need to find the values of a and b that will result in the 2021st term being 11.

Working backward, we know that the 2021st term (which is 11) is the sum of the digits of the previous two terms. Let's denote the (2020)th term as x and the (2019)th term as y. Therefore, we have:

11 = x + y

2. To find a suitable pair of x and y, we can iterate through possible values. Since the first two terms can be any positive whole numbers, we have some flexibility in choosing them.

For example, let's try a = 1 and b = 1:

Term 1: 1

Term 2: 1

Term 3: 2

Term 4: 1

Term 5: 3

Term 6: 4

Term 7: 7

Term 8: 11

The 8th term is 11, which matches our target. Therefore, if we start with a = 1 and b = 1, the 2021st term will indeed be 11.

To find a Diginacci sequence that has no term equal to 11, we need to ensure that none of the subsequent terms sum up to 11.

One way to achieve this is to start with two terms that are relatively large and have no digits summing up to 11. Let's try a = 99 and b = 100:

Term 1: 99

Term 2: 100

Term 3: 19 (9 + 9)

Term 4: 10 (1 + 0)

Term 5: 1

Term 6: 1

Term 7: 2

Term 8: 3

Term 9: 5

Term 10: 8

Term 11: 13

Term 12: 12

Term 13: 7

Term 14: 10

...

By starting with a = 99 and b = 100, the Diginacci sequence continues without reaching the value 11. The terms keep changing without summing up to 11, as seen in the subsequent terms above.

Thus, this particular Diginacci sequence starting with a = 99 and b = 100 does not have any term equal to 11.

The volume of the package which is 12 inches long, 12 inches wide, and 48 inches high is 6912 inches³ or 4 cubic feet.

Given length of the package which is in rectangular prism shape (L) = 12 inches

similarly, width of the package (W) = 12 inches

height of the package (H)  = 48 inches

To know the volume of the package which is in the rectangular prism shape the formula is V=  L x W x H

The substituting the given values in the above equation, we can obtain the volume of the package.

So,

L x W x H = 12 x 12 x 48 = 6912 inches³

To convert the cubic inches into the cubic feet we have to divide the obtained value by 1728.

So, \(\frac{6912}{1728}\) = 4 feet³

From the above explanation, we can conclude that the volume of the given package of rectangular prism shape is 4 feet³.

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The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.

This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.

It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.

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The value of "a" is approximately 1.83 given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive.

We are given that the absolute value of the difference between the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive. We need to find the value of "a".

Let the two roots of the equation be r1 and r2, where r1 is not equal to r2. Then, we have:

|r1 - r2| = √(61) / 3

The sum of the roots of the quadratic equation is given by r1 + r2 = -5 / a, and the product of the roots is given by r1 × r2 = -3 / a.

We can express the difference between the roots in terms of the sum and product of the roots as follows:

r1 - r2 = √((r1 + r2)² - 4r1r2)

Substituting the expressions we obtained earlier, we have:

r1 - r2 = √(((-5 / a)²) + (4 × (3 / a)))

Simplifying, we get:

r1 - r2 = √((25 / a²) + (12 / a))

Taking the absolute value of both sides, we get:

|r1 - r2| = √((25 / a²) + (12 / a))

Comparing this with the given expression |r1 - r2| = √(61) / 3, we get:

√((25 / a²) + (12 / a)) = √(61) / 3

Squaring both sides and simplifying, we get:

25 / a² + 12 / a - 61 / 9 = 0

Multiplying both sides by 9a², we get:

225 + 108a - 61a² = 0

Solving this quadratic equation for "a", we get:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61)

Since "a" must be positive, we take the positive root:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61) ≈ 1.83

Therefore, the value of "a" is approximately 1.83.

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The question is -

Given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive, what is the value of "a"?

Answer:

girls = 20

boys = 15

Step-by-step explanation:

boys = 3/4 x  = .75x

girls = x

x + .75x = 35

1.75x = 35

x = 35/1.75

x = 20

girls = 20

boys = 3/4 * 20 = 15

boys = 15

Answer:

x=24

Step-by-step explanation:

Hi there!

We are given the following proportion:

\(\frac{2}{10}=\frac{3}{x-9}\)

And we want to solve for x.

First, let's reduce \(\frac{2}{10}\), as reducing fractions typically makes the process easier

\(\frac{2}{10}\) is the same as \(\frac{1}{5}\)

So:

\(\frac{1}{5}=\frac{3}{x-9}\)

We can't do anything to \(\frac{3}{x-9}\), but that's okay.

Now we can cross multiply, as this is a proportion

Multiply x-9 by 1 and 3 by 5

1(x-9)=3(5)

Multiply

x-9=15

Now this is an equation

Our goal is to isolate x on one side

So let's add 9 to both sides to remove it from the left side

x-9=15

 +9 +9

_________

x=24

Hope this helps!

Answer:

24

Step-by-step explanation:

Cross multiply:

2(x - 9) = 2x - 18

3(10) = 30

2x-18 = 30

   +18   +18

-----------------

  2x = 48

 -----   -----

   2       2

     x = 24

Hope this helped.

Answer:

0.118 seconds

Step-by-step explanation:

Data are given in the question

Radio travels meters per second = 3.00 × 10^8

Distance = 3.54 × 10^7 meters

Based on the given information, the number of seconds required to takes radio signal from the satellite to the surface of the earth is

As we know that

\(Speed = \frac{Distance}{time}\)

So,

\(Time = \frac{Distance}{speed}\)

\(= \frac{3.54 \times 10^7 meters}{3.00 \times 10^8}\)

= 0.118 seconds

We simply applied the general formula to determine the number of seconds taken

Answer:

5 tables

Step-by-step explanation:

Let x be the number of tables the school needs to rent, and c be the total cost of renting the tables.

We can use the following equation to represent the cost of renting from the first company:

c = 20 + 12x

And we can use the following equation to represent the cost of renting from the second company:

c = 30 + 10x

As c is the same constant in both equations, we can say the following:

20 + 12x = 30 + 10x

Now we can solve this equation by simplifying:

20 + 12x = 30 + 10x

20 + 2x = 30

2x = 10

x = 5

Therefore, the school will need to rent 5 tables for the cost to be the same from both renting companies.

Answer: 5 tables

Step-by-step explanation:

The first rental company will charge $32 for one table.

The second rental company will charge $40 for one table.

So if we make a table, and keep adding $12 to the first company and $10 to the second it will look like this.

First company                          Second company                   Table

 $32                                                  $40                                     1

 $44                                                  $50                                     2

 $56                                                  $60                                     3

 $68                                                  $70                                     4

 $80                                                  $80                                     5

Therefore, the school can rent 5 tables for the same price in both companies.

The number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. In scientific notation, a number is expressed as the product of a coefficient and a power of 10.

In this case, the coefficient is 3.23, and the power of 10 is 6. To convert this number into standard decimal notation, we need to multiply the coefficient by the corresponding power of 10. The power of 10, in this case, is 10^6, which means 10 raised to the power of 6. This is equivalent to 1 followed by six zeros: 1,000,000. To obtain the standard decimal notation, we multiply the coefficient, 3.23, by 1,000,000.

Calculating the multiplication, we have:

3.23 × 1,000,000 = 3,230,000.

Hence, the number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. This means that the number is equal to 3.23 million.

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Answer: C = 1 square unit

Step-by-step explanation:

Since C is equal to the area (I think, by the looks of it) You can use the square units that it covers (1) and find the area.

Formula for area of a square is side length * side length. This means the area is 1 * 1.

Answer:

x < 2

Step-by-step explanation:

The indicated part is left from point 2.

You see an open circle at point (2,0) which means you should exclude the point x = 2 in the inequation.

Now you have enough info to get the right inequality:

x < 2

If cruz purchased a large pizza for $12.75. It serves 5 people, the cost per serving of the pizza is $2.55. So, correct option is A.

To find the cost per serving of the pizza, we need to divide the total cost of the pizza by the number of servings. In this case, the pizza costs $12.75 and serves 5 people.

Therefore, the cost per serving can be calculated as:

Cost per serving = Total cost of pizza / Number of servings

Cost per serving = $12.75 / 5

Cost per serving = $2.55

So, the cost per serving of the pizza is $2.55.

When working with fractions or dividing quantities, we need to pay attention to the units involved. In this case, the units of the cost and the servings must match for the division to be meaningful.

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Answer:

42.42641

Step-by-step explanation:

Answer:

No, a tessellation of 2 decagons will have a gap, and a tessellation of 3 decagons will overlap.

Step-by-step explanation: