Joe's Janitor Shop is getting ready for the next day's jobs. One bucket is being drained at 6 gallons per minute. The container started with 500 gallons. A second container has 200 gallons per minute and is being filled at 6 gallons per minute. How many minutes will it take for the 2 containers to have the same amount of liquid.

Step-by-step explanation:

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Step-by-step explanation:

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The coordinates of the midpoints of the given line segment is:

(3.5, 1.5)

The midpoint of a line segment is simply referred to as the center of that specific line segment.

Thus, the coordinates at that point will be referred to as the coordinates of the midpoint.

The coordinates of the endpoints of the line are:

(4,6) and (3,-3)

The formula to find the coordinates of the midpoint of the line is:

(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2

Thus, we have:

(x, y) = (4 + 3)/2, (6 - 3)/2

= (3.5, 1.5)

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Answer:

2

Step-by-step explanation:

Trust me

Answer:

Step-by-step explanation:

First, label it out:

Then, we add up 12 twice (Since the length is on 2 sides):

Now, we write down a 6 in the ?:

Width = 6.

We are not done!

Now, we have to solve for area.

Answer:

The table should measure diagonally about 41.23 inches.

Step-by-step explanation:

To find the diagonal of a rectangle we use the formula :

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

A and B both represent the side lengths of the rectangle, while C is the diagonal part. Knowing this formula, let's plug in the values for A and B and see what happens.

\(32^{2}\) + \(26^{2}\) = \(c^{2}\)

1024 + 676 = \(c^{2}\)

1700 = \(c^{2}\)

The square root of 1700 is (rounded to the hundreth's place) = 41.23

Answer:

c41

Step-by-step explanation:

Answer:18

Step-by-step explanation:

Answer:

Step-by-step explanation:

17 X (18-x)+12 X x= 271

multiply 17 x 18 and 17 X x also multiply 12 X x

17x18=306

17Xx= 17x

12Xx=12x

equation now looks like after solving:

306-17x+12x=271

combine like terms:

306-5x=271

subtract 306 from both sides

-5x=-35

get x by itself by dividing -5 from both sides

x= -35/-5 which equals 7

x=7

So you will 7 family devotional books and 11 youth devotional books

Answer:

68+97i

Step-by-step explanation:

work shown and pictured

Answer:

68+97i

Step-by-step explanation:

(39 + 34i) + (76 + 89i) - (47 +26i).

Distribute the minus sign

(39 + 34i) + (76 + 89i) + (-47 -26i)

Combine like terms

(39+76-47)+(34i+89i-26i)

68+97i

The triangle on the left side has two legs of length 4 m and 6 m. It's a right triangle, so the hypotenuse has length √((4 m)² + (6 m)²) = 2√13 m. Only the 4 m leg and the hypotenuse count towards the shape's overall perimeter.

The rectangular part contributes 9 m from the top side and 9 m from the bottom one, thus a total of 18 m.

The half-circle has diameter 6 m (indicated by the dashed line, same as the height of the triangle on the left). A full circle with diameter d has circumference πd ; a half-circle with the same diameter would then contirubte πd/2, or in this case, 3π m.

So, the total perimeter of the shape is

(4 m + 2√13 m) + 18 m + 3π m ≈ 38.6 m

Answer:

3. Lotion

2. Suspension

1. Capsule

The highest point for the quadratic function for the height of the object, h(t) = -16·t² + 224·t + 816, indicates that the interval over which the height of the object is increasing is; (-∞, 7]

The shape of the graph of a quadratic function is a parabola.

The function for the height of the object in question 3 is; h(t) = -16·t² + 224·t + 816

Where;

t = The time in seconds

The height of the object is increasing in the interval to the left of the highest point, which can be found as follows;

The x-coordinate of the highest point of the quadratic function, f(x) = a·x² + b·x + c is; x = -b/(2·a)

Therefore, the x-coordinates of the highest point of the object is; -224/(2 × (-16)) = 7

Therefore, the height of the object is increasing in the interval; -∞ < t ≤ 7

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Answer:

I believe that your answer is C and Moon.

Answer:

x=2

Step-by-step explanation:

10 - (x + 3) = 5

To solve for x, we can start by simplifying the left side of the equation:

10 - (x + 3) = 5

10 - x - 3 = 5

7 - x = 5

Next, we can isolate x on one side of the equation by subtracting 7 from both sides:

7 - x = 5

7 - x - 7 = 5 - 7

-x = -2

Finally, we can solve for x by dividing both sides of the equation by -1:

-x = -2

x = 2

Therefore, the solution to the equation is x = 2.

Using the binomial distribution, it is found that the probability that exactly three workers owns a car is given by:

A. 0.267.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability that exactly three workers owns a car is given by P(X = 3), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{10,3}.(0.3)^{3}.(0.7)^{7} = 0.267\)

Hence option A is correct.

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Answer:

Than answer is (7 x 2) + 3

Answer: free robux

Step-by-step explanatiofre

Answer:

perimwter = 2(4x-6 + 2x+4) = 2 (6x-2) = 12x-4

Answer:

it's a

Step-by-step explanation:

He lost 50 lbs over a 5 moth period

Answer:

liseN iNn c1as

Step-by-step explanation:

a) The distance of the stone above ground level at any time t is given by h(t) = 950 + 4.9t², where h(t) is measured in meters and t is measured in seconds.

b) It takes approximately 13.93 seconds for the stone to reach the ground.

c) The stone strikes the ground with a velocity of approximately 136.04 m/s.

d) It takes approximately 16.75 seconds for the stone thrown downward with a speed of 6 m/s to reach the ground.

When objects are dropped or thrown from a height, their speed and position can be determined using physics equations. In this problem, we will calculate the distance, time, and velocity of a stone dropped from a tower.

First, we need to determine the equation for the height of the stone above the ground at any given time t. We can use the formula:

h(t) = h0 + vt + 0.5at²

where h0 is the initial height, v is the initial velocity (which is zero for a dropped object), a is the acceleration due to gravity (g = 9.8 m/s^2), and t is the time since the stone was dropped.

Using the given values, we can plug in the numbers and simplify:

h(t) = 950 + 0t + 0.5(9.8)t²

h(t) = 950 + 4.9t²

To find the time it takes for the stone to reach the ground, we need to set h(t) = 0 and solve for t:

0 = 950 + 4.9t^2

t^2 = 193.88

t ≈ 13.93 seconds

To find the velocity at which the stone strikes the ground, we can use the formula:

v = v₀ + at

where v₀ is the initial velocity (which is zero for a dropped object) and a is the acceleration due to gravity (g = 9.8 m/s²). We can plug in the values for t and solve for v:

v = 0 + 9.8(13.93)

v ≈ 136.04 m/s

Finally, if the stone is thrown downward with a speed of 6 m/s, we can use the same formula for h(t) as before, but with an initial velocity of -6 m/s. We can then find the time it takes to reach the ground using the same method as before:

h(t) = 950 - 6t + 0.5(9.8)t²

0 = 950 - 6t + 4.9t²

t² - 1.22t - 193.88 = 0

t ≈ 16.75 seconds

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Answer:

Well it's the same because it's the same problem just worded different it's like saying "May I?" and your sister says "Can I?" It's the same question just different wording.

Ending Inventory Cost and Cost of Goods Sold using different inventory methods:

FIFO Method:

Ending Inventory Cost: $11,920

Cost of Goods Sold: $15,068

LIFO Method:

Ending Inventory Cost: $11,996

Cost of Goods Sold: $15,123

Weighted Average Cost Method:

Ending Inventory Cost: $11,974

Cost of Goods Sold: $15,087

Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.

This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.

Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.

This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.

Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.

Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.

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"Distance traveled is a function of time." In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.

Distance is a fundamental concept in physics and mathematics that measures the extent or length between two points.

It represents the amount of ground covered or space traveled. When we say that distance is a function of various factors, it means that different variables or parameters can influence the distance traveled.

In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.

The sentence "Distance traveled is a function of time" expresses this relationship, indicating that the distance traveled can be determined or calculated based on the value of time.

Thus, it implies that as time changes, the corresponding distance traveled also changes, establishing a functional relationship between the two variables.

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Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

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Question 1:

(a) The equation representing Elaine's total parking cost is:

C = x * t

(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.

Question 2:

The given system of equations is inconsistent and has no solution.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.

(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):

C = x * 24

Question 2:

To solve the linear system:

-x - 6y = 5

x + y = 10

We can use the elimination method.

Multiply the second equation by -1 to create opposites of the x terms:

-x - 6y = 5

-x - y = -10

Add the two equations together to eliminate the x term:

(-x - 6y) + (-x - y) = 5 + (-10)

-2x - 7y = -5

Now we have a new equation:

-2x - 7y = -5

To check the answer, we can substitute the values of x and y back into the original equations:

From the second equation:

x + y = 10

Substituting y = 3 into the equation:

x + 3 = 10

x = 10 - 3

x = 7

Checking the first equation:

-x - 6y = 5

Substituting x = 7 and y = 3:

-(7) - 6(3) = 5

-7 - 18 = 5

-25 = 5

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16 is the number which is one-fifth of a number when one-fourth of that same number is 20.

As per the given data:

One-fourth of the number is resulted to 20.

Here we have to determine the result of one-fifth of the same number from the given options.

An expression for a portion of a whole is a fraction.

For any real numbers, the fractional component of x is defined.

Let the number be X.

One-fourth of a number is 20 which means:

Multiply the one-fourth fraction with an unknown number which results in the number 20.

\($\frac{1}{4}\)  (X) = 20

X = 20 × 4

X = 80

Now we have to determine that one-fifth of the same number.

Multiply the one-fifth fraction by 80.

We get:

= \($\frac{1}{5}\) (80)

= \($\frac{1}{5}\)   × 5 × 16

= 16

One-fifth of the number 80 is 16

Therefore Option (D) - 16 is the correct answer.

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Answer:

The interior angle would measure \(108^{\circ}\). Assuming that this polygon is regular, it would contain \(5\) sides.

Step-by-step explanation:

An exterior angle in a polygon is supplementary with the interior angle that shares the same vertex with the exterior angle. In other words, the sum of these two angles would be \(180^{\circ}\).

In this question, the exterior angle measures \(72^{\circ}\). Therefore, the interior angle that shares the same vertex with this \(72^{\circ}\!\) exterior angle would measure \((180^{\circ} - 72^{\circ})\), which is \(108^{\circ}\).

The sum of all interior angles in a polygon with \(n\) sides (regular or not) is \(180\, (n - 2)\) degrees.

All the interior angles in a regular polygon are equal. Hence, in a regular polygon with \(n\) sides (and hence \(n\!\) vertices,) each of the \(n\!\!\) interior angles would measure \(180\, (n - 2) / n\) degrees.

Assume that the polygon in this question is regular. Again, let \(n\) be the number of sides in this polygon. Each interior angle would measure \(180\, (n - 2) / n\) degrees. However, it was also deduced that an interior angle of this polygon measures \(108^{\circ}\). That is:

\(\displaystyle \frac{180 \, (n - 2)}{n} = 108\).

Solve for \(n\):

\(180\, n - 2 \times 180 = 108\, n\).

\((180 - 108)\, n = 360\).

\(\begin{aligned}n &= \frac{360}{180 -108} \\ &= \frac{360}{72} \\ &= 5\end{aligned}\).

In other words, if this polygon is regular, it would contain \(5\) sides.