Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Jason and Mark have volunteered to fill water into the two dunk tanks for their scout field days. The amount of water in Jason's dunk tank is represented by the equation below, where W represents the amount of water, in gallons, x minutes after he began to fill.

The amount of water in Mark's dunk tank is represented by the equation below, where W represents the amount of water, in gallons, x minutes after he began to fill.
w=2x+1 w=10x+5
Using graphing technology, complete the statements.

After
minutes, the total amount of water in both dunk tanks will be the same.

The total amount of water at that minute will be
gallons.

The area of the rectangle is given by the equation A = 500 inches²

The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.

Perimeter P of rectangle = 2 ( Length + Width )

Given data ,

Let the area of the rectangle be represented as A

Now , the equation will be

The perimeter of the rectangle P = 120 inches

The length of the rectangle L = 5 ( width of rectangle )

Now , Perimeter P of rectangle = 2 ( Length + Width )

Substituting the values in the equation , we get

2 ( 5W + W ) = 120

Divide by 2 on both sides of the equation , we get

6W = 60

Divide by 6 on both sides of the equation , we get

W = 10 inches

So , the width of the rectangle = 10 inches

Now , L = 5W

So , the length of the rectangle = 50 inches

And , the area of the rectangle = L x W

Substituting the values in the equation , we get

The area of the rectangle A = 50 x 10

The area of the rectangle A = 500 inches²

Hence , the area of the rectangle is 500 inches²

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the best answer i got for a is 5 days (1.5 hours a day)

b was 3 days (an hour a day) but I am not that sure but thats the best answer I could come up with

Answer:

10

Step-by-step explanation:

Answer: Let x be the number of days it takes for y workers to weed the field. Then, we know that x and y are inversely proportional, meaning that x * y = k, where k is a constant.

Since it takes 6 days for 10 workers to weed the field, we have:

6 * 10 = k

So, k = 60.

Now, to find the number of days it would take if there were 12 workers, we can plug in y = 12 and solve for x:

x * 12 = 60

x = 60/12

x = 5

Therefore, it would take 5 days for 12 workers to weed the field.

Step-by-step explanation:

The table shows the amounts of each day is attached below.

An equation is an expression that shows the relationship between two or more numbers and variables.

The total amount of snow that falls in three days equals the sum of the amount of snow that falls each day, then

s1 + s2 + s3 = Ts

Here s1 is the snow that fell on day 1, s2 on day 2, s3 on day 3 and Ts is the total amount of snow that fell over the three days.

We need to calculate the amount of snow that fell on the first two days by multiplying the total snow by the given fractions, like this:

s1 = 1/6 * 2 = 1/3

s2 = 7/12*2 = 7/6

Now ,

1/3+ 7/6+ s3 = 2

1.5 + s3 = 2

1.5 - 1.5 + s3 = 2 - 1.5

s3 = 2 - 1.5

s3 = 1/2

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The second largest of the four angles is angle ∠1

Triangle is a closed polygon that is formed by connecting 3 line segments which are called sides of the triangle. In a triangle, the shortest side will always be placed opposite the smallest interior angle. Similarly, the longest side will always be opposite the largest interior angle.

Here we have

The side included by <1 and <2 is 11 cm

The side included by ∠2 and ∠3 is 16 cm  

The side included by ∠3 and <1 is 14 cm  

As we can observe angle ∠4 is an obtuse angle

Hence, ∠4 is the largest angle among the 4 angles

As we know the shortest side is placed opposite the smallest interior angle and the longest side is opposite the largest interior angle.

From the given data,

The side included by ∠2 and ∠3 is the longest side

Hence, the largest angles among ∠1, ∠2, and ∠3 are the angles ∠1

Therefore,

The second largest of the four angles is angle ∠1

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The coordinate of the y-intercept of the line y = 4x + 1 is (7.5, 10). And the value of 'k' is 7.5.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

a) The equation is given as,

y - 4x = 1

y = 4x + 1

Then coordinate of the y-intercept is (0, 1).

b) The equation is given as,

y = 2x + c

From the graph, the y-interept is -3. Then the equation is given as,

y = 2x - 3

At y = 10, the value of 'k' is given as,

10 = 2k - 3

2k = 13

k = 7.5

The coordinate of the y-intercept of the line y = 4x + 1 is (7.5, 10). And the value of 'k' is 7.5.

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Answer:

I think the answer is B. Sorry if I'm wrong I really tried :(

Step-by-step explanation:

None of the equations in Problems 1 through 8 is exact, so they cannot be solved using the method of integration factors.

If an ODE is exact, it can be solved using the method of integration factors.

Here is the determination of whether each of the equations in Problems 1 through 8 is exact, and if it is, finding the solution:

1. (2x + 3) + ( 2y - 2)y' = 0

This equation is not exact.

2. (2x + 4y) + ( 2x - 2y)y' = 0

This equation is not exact.

3. (3x^2 - 2xy + 2) + ( 6y^2 - x^2 + 3) y' = 0

This equation is not exact.

4. dx/dt = bx + cy, dy/dt = ax - by

This system of ODEs is not exact.

5. dx/dt = bx - cy, dy/dt = ax + by

This system of ODEs is not exact.

6. (ye^(2x) -2e^(2x)x sin(2x)+2x)+(xe^(2x)y cos(2x) -3) y'=0

This equation is not exact.

7. (y/x+6x) +(In x - 2)y' = 0, x > 0

This equation is not exact.

8. (y^2)dy/dx + 0 = (x^2 + y^2)^(3/2)

This equation is not exact.

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The number of gallons of paint nearest to tenth will be 0.0358 gallon.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The area of the wall is given as,

A = 6 inches x 172 inches

A = (6 / 12) feet x (172 / 12) feet

A = 0.50 x 14.33

A = 7.167

A ≈ 7.2 gallons

Then the number of gallons of paint is given as,

⇒ 7.167 / 200

⇒ 0.0358 gallon

The number of gallons of paint nearest to tenth will be 0.0358 gallon.

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Answer: A

Step-by-step explanation:

If there is a $5000 Unearned Revenue credit on the accounting worksheet, it means that the company has received payment for products or services that have not yet been delivered. Therefore, when the delivery is made, an adjusting entry is needed to reflect the change in the company's financial statements.

The adjusting entry would be a debit to the Unearned Revenue account for $5000 and a credit to the Revenue account for $5000, reflecting the delivery of the products and the recognition of revenue. The entry would be recorded in the Adjustment column of the worksheet.

Therefore, the correct answer is option A, a $5000 Adjustment debit.

Answer:

A. a $5000 Adjustment debit

Step-by-step explanation:

The delivery of products listed as a $5000 Unearned Revenue credit would be recorded on an accounting worksheet with a $5000 Adjustment debit.

Unearned revenue is a liability account that represents payments received from customers for goods or services that have not yet been provided. When the delivery is made and the products are provided, the unearned revenue is "earned" and the revenue is recognized in the accounting records.

To record the delivery and recognize the revenue earned, the company would make an adjusting entry to decrease the unearned revenue account and increase the revenue account. Since the unearned revenue account has a credit balance, the adjusting entry would require a debit to reduce the balance. This would result in a $5000 Adjustment debit to Unearned Revenue and a $5000 Adjustment credit to Revenue.

Of the given four estimators, the one that shows the most bias is Mean = 20, SE = 1. Hence, Mean = 20, SE = 1 is the accurate choice.

The estimator with the highest value (Mean = 20) compared to the population parameter (15) is the most biased. The lower the standard error (SE = 1), the more confident the estimate, but if the estimate is far from the population parameter, it is considered biased.

In this case, the Mean = 20 estimator is the most biased because it has the greatest difference from the population parameter and the lowest standard error, indicating a high level of confidence in the estimate despite it being significantly different from the actual population parameter.

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Answer: Alicia had 3 feet of wood and she used 3 feet, so she has 3 - 3 = 0 feet of wood left.

Since we are asked to estimate the amount of wood, we could round 3 to the nearest whole number and say that Alicia has approximately 0 feet of wood left.

Step-by-step explanation:

Answer:

see image for answer

Step-by-step explanation:

see image for answe

Using the midpoint formula we will see that the coordinates of B are (-9, 1)

We know that for two points (x, y) and (a, b) the midpoint is at:

( (x  + a)/2,  (y + b)/2)

In this case if the coordinates of B are (x, y), we can write the equation:

(-2, 4) = ( (x + 5)/2, (7 + y)/2)

We can solve these two equations to find the coordinates of point B, we will get:

(x + 5)/2 = -2

x + 5 = -4

x = -4 - 5 = -9

And:

(7 + y)/2 = 4

7 + y = 4*2 = 8

y = 8 - 7 = 1

The coordinates of B are (-9, 1)

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Hence, the cylinder's content determines the apparent volume of the glassware, and also the difference between the cylinder as well as spherical volumes determines the glass's true capacity.

Capacity can be defined as the amount which can be held by any kind of vessel. This can depend upon their depth as well as their size.

Actual capacity is the volume of liquid that a glass vessel can contain while it is only partially filled, as opposed to capacity, which refers to the volume of liquid when the glass vessel is fully filled to the brim.

The distinction between both apparent capacity versus Actual capacity in parameters of surface area, as well as volume, is that the former refers to the entire surface area proportional volume of the vessel, whilst the latter refers to the surface area but instead the volume of the liquid that could also fit.

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Mathematics is a computational system developed by the Babylonians.

Mathematics has its roots in ancient civilizations, such as the Babylonians and Egyptians, who used mathematical concepts for practical purposes such as measuring land, calculating taxes and predicting astronomical events. The ancient Greeks made major contributions to mathematics with the development of geometry by Euclid and the formulation of mathematical proofs by Pythagoras and his followers.

The 17th and 18th centuries saw a major development in calculus by mathematicians like Isaac Newton and Gottfried Wilhelm Leibniz, which revolutionized the field and opened up new avenues of scientific investigation. In the 19th and 20th centuries, mathematicians such as Georg Cantor, Kurt Gödel, and Alan Turing made major contributions to the foundations of mathematics and the development of computer science.

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The most precise classification of BCDE is a square.

Quadrilaterals are four sided polygons which also have four vertices and four angles.

Sum of all the interior angles of a quadrilateral is 360 degrees.

We have to find the length of adjacent sides of the quadrilateral BCDE.

If they are equal, then the quadrilateral is either square or rhombus.

If they are not equal, then they are either rectangle or parallelogram.

B(-1, -1), C(6, -2), D(5, -9), and E(-2, -8)

BC = [tex]\sqrt{(6--1)^2+(-2--1)^2}[/tex] = √50

CD = [tex]\sqrt{(5-6)^2+(-9--2)^2}[/tex] = √50

Adjacent sides are equal. So it is either square or rhombus.

If it is rhombus, length of diagonals BD and CE are not equal.

If it is square, length of diagonals BD and CE are equal.

BD = [tex]\sqrt{(5--1)^2+(-9--1)^2}[/tex] = √100 = 10

CE = [tex]\sqrt{(-2-6)^2+(-8--2)^2}[/tex] = √100 = 10

Length of diagonals are same. So it is a square.

Hence the given quadrilateral is a square.

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The velocity of the bean is 0.63 feet/second

Angular velocity is the time rate at which an object rotates or revolves about an axis. Angular velocity is represented by the Greek letter omega (ω) It is measured in angle per unit time; hence, the SI unit of angular velocity is radians per second.

w = tetha/t

1 revolution = 360° = 2π

1 minutes = 60s

w = 12× 2π/60

w = 24×3.14/60

w = 1.26 radian/second

r = d/2

r = 1/2 = 0.5miles

v = wr

v = 1.26 × 0.5

v = 0.63feet/second

therefore the velocity of the bean is 0.63 feet/second.

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Answer:

A, There were about 204 principals in attendance

Step-by-step explanation:

In one exhibit room, there are 14 principals out of 60 people so the ratio is 14 to 60

If the ratio stays the same then, x is the number of principals in attendance at the conference, then

x/875 = 14/60

60x = 14(875)

60x = 12250

x = 12250/60 = 204

hope this helps.

The intersection of the set of integers and multiples of 5 will be (5,15).

What exactly are integers?

In mathematics, integers are the collection of positive and negative numbers. Integers, like whole numbers, do not include the fractional element. Thus, integers are numbers that can be positive, negative, or zero, but not fractions. On integers, we can do all arithmetic operations such as addition, subtraction, multiplication, and division. Integers include numbers such as 1, 2, 5, 8, -9, -12, and so on. "Z" is the symbol for integers.

Now,

Odd Integers between 0 and 20=1,3,5,7,9,11,13,15,17,19

Multiples of 5 between 0 and 35=5,10,15,20,25,30,35

Then the common integers are=5,15

Hence,

          The intersection of the set of integers multiples of 5 will be (5,15).

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Option A and B : This statements is generally false in probability theory.

A. P(A ∪ B) = P(A) + P(B) - This statement is generally false in probability theory. This is known as the inclusion-exclusion principle, which states that the probability of the union of two events is equal to the sum of their individual probabilities minus the probability of their intersection.

B. P(A | B) = P(A) - This statement is generally false in probability theory. In general, P(A | B) is not equal to P(A) because the occurrence of event B affects the probability of event A.

C. P(A ∩ B) = P(A)P(B) - This statement is generally true in probability theory. This is known as the independent events rule, which states that the probability of the intersection of two independent events is equal to the product of their individual probabilities.

D. P(A | B) + P(A' | B) = 1 - This statement is generally true in probability theory.

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Let A and B be any two events. Which of the following statements, in general, are false? P(A∣B)+P(A∣B)=1                                                                                                                                    

A. P(A ∪ B) = P(A) + P(B)

B. P(A | B) = P(A)

C. P(A ∩ B) = P(A)P(B)

D. P(A | B) + P(A' | B) = 1

Answer: The equation that represents the relationship between the price of oranges last week, x, and the price of oranges this week, y is:

y = x + 1/5x

The equation states that the price of oranges this week is equal to the price of oranges last week plus 1/5 of the price of oranges last week.

Step-by-step explanation:

Answer:

40 ft²

Step-by-step explanation:

First way:

A = 1/2bh = 1/2(16)(5) = 40

2nd way:

Length of dotted line at top = x

16² - 8² = x²

x² = 192

x = √192 = 13.86

Area rectangle = 8 x 13.86 = 110.85

Find the shaded area:

110.85 - 1/2(8)(13.86) - 1/2(8)(13.86 - 10) = 40

Answer:

  40 ft²

Step-by-step explanation:

You want the area of a triangle two different ways. The height from the 10 ft base is given as 8 ft; the height from the 16 ft base is given as 5 ft.

The area formula for a triangle is ...

  A = 1/2bh . . . . . . where b is the base, and h is the height from that base

The base (side) dimensioned in red is 10 ft. The perpendicular distance to the opposite vertex is shown in red as 8 ft. Then the area is ...

  A = 1/2(10 ft)(8 ft) = 40 ft²

The base dimensioned in green is 16 ft. The perpendicular distance to the opposite vertex is shown in green as 5 ft. Then the area is ...

  A = 1/2(16 ft)(5 ft) = 40 ft²

The area of the triangle is 40 ft².

Answer:

140

Step-by-step explanation:

simple interest=principle which is the money, multiply by 7%which is the rate multiply by 1yr which is the time divided by 100

SI=(2000x7x1)

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

100

The solution for the equation is [tex]x=\frac{\pi }{2} +2\pi n[/tex] ,for any integer n.

An equation is the statement that asserts th equality of the two expressions with 'equal to' (=) sign.

cot [tex]\frac{x}{2} =1[/tex],

Taking inverse on both sides we get,

[tex]\frac{x}{2}[/tex] = [tex]cot^{-1} (1)[/tex]⇒[tex]\frac{x}{2}=\frac{\pi}{4}[/tex]

                ⇒[tex]x=\frac{\pi }{2}[/tex].

cot is positive in first and third quadrant. To find the second solution add π to it.

[tex]\frac{x}{2} =\pi +\frac{\pi }{2}[/tex]

[tex]x=\frac{5\pi }{2}[/tex]

to find period for cot([tex]\frac{x}{2}[/tex])  

The periodic function can be calculated by [tex]\frac{\pi }{|b|}[/tex], replace b with [tex]\frac{1}{2}[/tex]  

we get [tex]2\pi[/tex]. we get period for  cot([tex]\frac{x}{2}[/tex])  is [tex]2\pi[/tex] so values will repeat every

radians in both directions.

[tex]x=\frac{\pi }{2} +2\pi n, \frac{5\pi }{2} +2\pi n,[/tex] for any integer n.

consolidating we get,

[tex]x=\frac{\pi }{2} +2\pi n[/tex], for any integer.

Hence, the solution for the equation cot [tex]\frac{x}{2}[/tex]= 1 is [tex]x=\frac{\pi }{2} +2\pi n[/tex]

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Answer:

The $19,000 in expenses should be entered by the accountant as a debit in the following journal entry:

Date Account Account Number Debit Credit

1 - Oct Expenses 19000 5050

The contents of r0 will be 0x20000851, which is the first byte of the word stored at address 0x20000850.

The TI TM4C123 is a little-endian processor, meaning that it stores data in the memory in reverse order. This means that the first byte of a word will be stored at the lower address, and the last byte at the higher address.

In this example, register r1 contains the address 0x20000850. When we execute the ldr r0, [r1] instruction, the processor will read the value stored in memory at address 0x20000850 and store it in register r0.

Since this is a little-endian processor, the value stored in memory at address 0x20000850 will be the last byte of the word, and the value stored in memory at address 0x20000851 will be the first byte of the word.

This means that the contents of r0 will be 0x20000851, which is the first byte of the word stored at address 0x20000850.

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The amount of the down payment that is required to be paid is = $17025

The down payment is the initial amount that the buyer has to offer for the merchandise before they would later have to make the full payment. The down payment is a sign of seriousness on the part of a buyer

The amount that the house is selling for is $113,500.

The percentage that is to be considered for the down payment is 15 percent of the total amount.

This is given as 15 percent of $113,500.

down payment is 0.15 * $113,500

= $17025

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