An ice cream factory makes 100 quarts of ice cream in 5 hours. How many quarts could be made in 36 hours?

To be a function, each input can only go to one output

A. The input 1 goes to two different output values

(1,6) (1,7) causes it not to be a function

B. This is a function. Each input has only one output value

C. The input 0 goes to two different output values

(0,-5) snf (0,4) causes it not to be a function

To calculate the magnitude and direction of the electric field at the center of the square, we need to consider the contributions from each charge.

To calculate the electric field at the center of the square, we'll use the principle of superposition, which states that the total electric field is the vector sum of the electric fields due to each individual charge.

Given:

Charge at the corners of the square:

q1, q2, q3, q4 (each in multiples of 6.00×10⁽⁻⁶⁾ C)

Charge at the midpoints of the sides:

q5, q6, q7, q8 (each in multiples of 6.00×10⁽⁻⁶⁾ C)

Distance between adjacent charges on the perimeter of the square:

d = 6.90×10⁻⁽⁻²⁾ m

The electric field due to a point charge q at a distance r is given by Coulomb's law:

E = k × (q / r²)

where:

E is the electric field,

k is Coulomb's constant (approximately 8.99 × 10⁹ N·m²/C²),

q is the charge, and

r is the distance between the charge and the point where the electric field is being calculated.

Since the charges are arranged symmetrically, we can observe that charges q1, q2, q3, and q4 will contribute electric fields along the x and y axes. Charges q5, q6, q7, and q8 will contribute only to the x or y component of the electric field due to their positions at the midpoints of the sides.

Let's calculate the electric field components due to each charge and sum them up to find the net electric field at the center of the square.

Electric field components due to charges at the corners:

Charges q1 and q3 are equidistant from the center along the x-axis, so they contribute equally to the x-component of the electric field.

Charges q2 and q4 are equidistant from the center along the y-axis, so they contribute equally to the y-component of the electric field.

E_x1 = E_x3 = k × (q1 / (d/2)²)

E_y2 = E_y4 = k × (q2 / (d/2)²)

Electric field components due to charges at the midpoints:

Charges q5 and q7 lie on the x-axis and are equidistant from the center, so they contribute equally to the x-component of the electric field.

Charges q6 and q8 lie on the y-axis and are equidistant from the center, so they contribute equally to the y-component of the electric field.

E_x5 = E_x7 = k × (q5 / d²)

E_y6 = E_y8 = k × (q6 / d²)

Net electric field components at the center of the square:

Sum up the x-components and y-components of the electric field contributions due to each charge.

E_x = E_x1 + E_x3 + E_x5 + E_x7

E_y = E_y2 + E_y4 + E_y6 + E_y8

Magnitude and direction of the net electric field:

Calculate the magnitude using the Pythagorean theorem:

E = sqrt(E_x² + E_y²)

Determine the direction of the electric field using the arctan function: θ = atan(E_y / E_x)

Now let's calculate the electric field at the center of the square.

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Answer:

yes

Step-by-step explanation:

Because it is the answr

Answer:

8 hours

Step-by-step explanation:

In the problem, it gives you the formula: d=rt, and in the rest of the problem it gives you the distance and the rate, so all you have to do is plug the numbers in and solve.

360m = 45mph(t)

Isolate the variable by dividing 360 by 45

360/45 = t

8 = t

This means that it will take 8 hours to travel 360 miles at a rate of 45 miles per hour.

Hope this helps :)

Answer:

\(a_n=14n+5\)

Step-by-step explanation:

\(a_n=a_1+(n-1)d\\a_n=19+(n-1)(14)\\a_n=19+14n-14\\a_n=14n+5\)

Here, the common difference is \(d=14\) since 14 is being added each subsequent term, and the first term is \(a_1=19\).

Answer:

q<->r and r<->q

Step-by-step explanation:

that is the answer

Hope this helps plz hit the crown :D

Answer:

C and D

Step-by-step explanation:

yes

A) we would send Order A to Factory 3.

B) we would send both Order B and Order C to Factory 3.

B 7,000 Factory 3

C 30,000 Factory 3

Total number of units produced for the company today: 37,000

Average cost per unit for all production today: $9.00

To make decisions about which factory to send the orders to on Monday and Tuesday, we need to compare the costs per unit for each factory and consider the total number of units to be produced. Let's go through each day's scenario and make the production decisions.

a) Monday: Order A for 15,000 units

To decide which factory to send the order to, we compare the costs per unit for each factory. We select the factory with the lowest cost per unit to minimize the average cost per unit for the company.

Let's assume the costs per unit for each factory are as follows:

Factory 1: $10 per unit

Factory 2: $12 per unit

Factory 3: $9 per unit

To calculate the total cost for each factory, we multiply the cost per unit by the number of units:

Factory 1: $10 * 15,000 = $150,000

Factory 2: $12 * 15,000 = $180,000

Factory 3: $9 * 15,000 = $135,000

Based on the calculations, Factory 3 has the lowest total cost for producing 15,000 units, with a total cost of $135,000. Therefore, we would send Order A to Factory 3.

b) Tuesday: Order B for 7,000 units and Order C for 30,000 units

We have two options: sending each order to a separate factory or sending both orders to the same factory. We need to compare the average cost per unit for each option and select the one that results in the lowest average cost per unit.

Let's assume the costs per unit for each factory remain the same as in the previous example. We will calculate the average cost per unit for each option:

Option 1: Sending orders to separate factories

For Order B (7,000 units):

Average cost per unit = ($10 * 7,000) / 7,000 = $10

For Order C (30,000 units):

Average cost per unit = ($9 * 30,000) / 30,000 = $9

Total number of units produced for the company today = 7,000 + 30,000 = 37,000

Average cost per unit for all production today = ($10 * 7,000 + $9 * 30,000) / 37,000 = $9.43 (rounded to two decimal places)

Option 2: Sending both orders to the same factory (Factory 3)

For Orders B and C (37,000 units):

Average cost per unit = ($9 * 37,000) / 37,000 = $9

Comparing the two options, we see that both options have the same average cost per unit of $9. However, sending both orders to Factory 3 simplifies the production process by consolidating the orders in one factory. Therefore, we would send both Order B and Order C to Factory 3.

Production Report for Tuesday:

Order # of Units Factory

B   7,000      Factory 3

C  30,000    Factory 3

Total number of units produced for the company today: 37,000

Average cost per unit for all production today: $9.00

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Answer:

\(2\frac{1}{4} + 3 \frac{2}{5}\)

Step-by-step explanation:

\(2\frac{1}{4} - (-3 \frac{2}{5}\)\()\)

However, -  × - equals +

\(2\frac{1}{4} + 3 \frac{2}{5}\)

Answer:

PV = $10,000(1/1+6.5%^2x7)  It is 7 years semiannually, which means 2 interest payments each year.

Step-by-step explain

Round it to the nearest $100

find this out by using  

A=P(1+r/n)^ntnation:

hope this helps

Answer:

acceleration

Step-by-step explanation:

i hope this is right

Answer:

A acceleration

Step-by-step explanation:

I'm pretty sure this is correct

Answer: 120 degrees

Step-by-step explanation: a circle always has a total of 360 degrees

a. Point-slope form is: y - y0 = m(x - x0). Plugging in our values, we get: y - 2 = -3(x - 11). Typically we can just leave it like this, but for the sake of simplifying it down to slope-intercept form, it would be y = -3x + 35.

b. y - 2 = -3((0) - 11)

y - 2 = 33

y = 35.

c. y = -3x + 35.

Edit: Bolded the last answer.

Step-by-step explanation:

log3  x - 2125 = 3

log3  x = 2128

x = 3^(2128)      

   ( I think you need to check your post ! Format, syntax and parentheses are important!)

9514 1404 393

Answer:

  \(a=\sqrt{33}\)

Step-by-step explanation:

The Pythagorean theorem tells you that the area of the square with side 'a' is the difference of the areas of the other two squares.

  a² = 7² -4²

  a² = 49 -16 = 33

  a = √33

The answer would be -32.

Answer:

-32

Step-by-step explanation:

-24 - 8 = -32

Luna received 9 dollar for each pair of sneakers. She got total 18 dollars for her 2 pairs of sneakers. The equation which we can use to find the amount of money x= total money spent+ money remained.

It is given that, total pair of jumper sneakers she sold at the secondhand market = 2 pairs.

So, total sneakers= 4

Let, she got total x dollar for her jumpy sneakers.

So, here, total money spent= 12 dollars

total money left with her= 6 dollars

Hence, x= 12+ 6 dollars = 18 dollars.

So, total money she got = 18 dollars.

Money for each pair of sneakers= 9 dollars.

Equation for x= total money spent+ money left with her.

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Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

<95141404393>

To prove that the greatest common divisor (gcd) operator is associative on the set of positive integers Z+, we need to show that for all positive integers a, b, and c, gcd(a, gcd(b, c)) is equal to gcd(gcd(a, b), c).

Let's start by considering gcd(b, c) first. By definition, gcd(b, c) is the largest positive integer that divides both b and c.

Now, let's consider the expression gcd(a, gcd(b, c)). This means we are finding the largest positive integer that divides both a and gcd(b, c).

Since gcd(b, c) divides both b and c, it follows that any common divisor of b and c must also be a divisor of gcd(b, c). Therefore, gcd(a, gcd(b, c)) must also be a divisor of gcd(b, c) since it divides both a and gcd(b, c).

Next, let's consider gcd(a, b). This is the largest positive integer that divides both a and b.

Now, let's consider the expression gcd(gcd(a, b), c). This means we are finding the largest positive integer that divides both gcd(a, b) and c.

Since gcd(a, b) divides both a and b, it follows that any common divisor of a and b must also be a divisor of gcd(a, b). Therefore, gcd(gcd(a, b), c) must also be a divisor of gcd(a, b) since it divides both gcd(a, b) and c.

To complete the proof, we need to show that gcd(a, gcd(b, c)) and gcd(gcd(a, b), c) have the same divisors and, therefore, the same greatest common divisor.

Let d be any common divisor of gcd(a, gcd(b, c)). This means d divides both a and gcd(b, c). Since gcd(b, c) divides both b and c, d must also divide b and c.

Now, consider gcd(gcd(a, b), c). Any common divisor of gcd(a, b) and c must divide both gcd(a, b) and c. Since gcd(a, b) divides both a and b, any common divisor of gcd(a, b) and c must also divide a and b. Therefore, it must also divide gcd(b, c) since gcd(b, c) divides both b and c.

We have shown that any common divisor of gcd(a, gcd(b, c)) is also a divisor of gcd(gcd(a, b), c), and vice versa. Therefore, gcd(a, gcd(b, c)) and gcd(gcd(a, b), c) have the same set of divisors.

Since the greatest common divisor is defined as the largest positive integer that divides both numbers, and gcd(a, gcd(b, c)) and gcd(gcd(a, b), c) have the same set of divisors, it follows that gcd(a, gcd(b, c)) is equal to gcd(gcd(a, b), c).

Hence, we have proven that the gcd operator is associative on the set of positive integers Z+.

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The value x of given linear equation in one variable is \(13\)

To solve for x in the equation \(4x-1 +3x -1 +7x = 180\), we first need to combine the like terms on the left side:

\(4x-1 +3x -1 +7x = 180\)

Next, we can isolate the variable term by adding \(2\) to both sides:

\(14x -2 +2 = 180+2\\14x = 182\)

Finally, we can solve for x by dividing both sides by \(14\):

\(x = \frac{182}{14}\)

This can be simplified by dividing both the numerator and denominator by their greatest common factor, which is \(14\):

\(x = 13\)

Therefore, the value of \(x\) that satisfies the equation \(4x-1 +3x -1 +7x = 180\) is \(x = 13\)

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Answer:

It is true

Step-by-step explanation:

Answer:

2x² + 6x + 8

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= 6x + 8 + 2x²

= 2x² + 6x + 8

Answer:

7

Step-by-step explanation:

Answer:

to find the mean add up all the scores and then divide it by the number of scores that are there and to find the mode order the numbers lowest to highest and see which number appears the most

To find the probability that at least two dice show the same number, we can first calculate the probability that all five dice show different numbers, and then subtract it from 1.

Step 1: Calculate the probability that all five dice show different numbers.
The first dice can show any number, so its probability is 1. For the second dice, there are 5 remaining numbers that are different from the first one, so its probability is 5/6. Similarly, the third dice has 4 remaining numbers, so its probability is 4/6, and so on.
So the probability that all five dice show different numbers is (1) x (5/6) x (4/6) x (3/6) x (2/6) = 20/216 = 5/54.

Step 2: Subtract the probability from 1 to find the probability of at least two dice showing the same number.
1 - 5/54 = 49/54.

Therefore, the probability that at least two dice show the same number is 49/54.

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The required answer considering the given scale are;

i. length of the path on map = 3.6 cm

ii. value of k = 0.02 cm

Scale drawing

A scale is a representative factor that can be used to either increase or decrease the dimensions of a given object.

So that;

scale =  length of drawing/ original length

In the given question, the scale given is a reduced scale.

scale = 1/ 5000

         = 0.0002

Thus;

i. Given that the length of a path is 180 m, the length on the map can be determined by;

     180 m x 0.0002 = 0.036 m

The length on the map = 0.036 x 100

                                       = 3.6 cm

ii. The value of k = length of drawing/  original length

   k  = 1/ 5000

         = 0.0002 x 100

   k = 0.02 cm

The value of k = 0.02 cm.

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The written index form of the given number as a product of prime factors is; 3¹².

Since the given number in discuss is; 81³.

Recall; 81 = 3⁴.

Therefore, we have that; 81³ = ( 3⁴ )³

= 3¹²

Hence ,the index form of number as required as a product of prime factors is; 3¹².

This is due to the fact that 3 is a prime number.

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Answer:

y÷3

Step-by-step explanation:

y/3 is the same as y÷3

In general, the tallest and shortest plant heights can vary widely depending on the species of plant being considered.

For example, some species of trees can grow over 300 feet tall, while certain species of mosses may only grow a few millimeters in height. The specific environmental conditions, such as the availability of water, sunlight, and nutrients, can also impact the growth and height of plants. Therefore, without more specific information, it is difficult to provide a more precise answer.

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