Leroy prepared 28 kilograms of dough in 7 hours how many hours did Leroy have to work to prepare 40 kilograms of dough

We can start by factoring the numerator:

3x^2 + 4x + 1 = (3x + 1)(x + 1)

Now we can rewrite the integral as:∫ [(3x + 1)(x + 1)] / (2x) dx

Next, we can use partial fraction decomposition to split the fraction into simpler ones:

(3x + 1)(x + 1) / (2x) = A + (Bx + C) / (2x)

Multiplying both sides by 2x, we get:

(3x + 1)(x + 1) = A(2x) + Bx + C

Setting x = 0, we get:

A = 1/2

Setting x = -1/3, we get:

-2/9 + C = 0

C = 2/9

Now we can solve for B:

3x^2 + 4x + 1 = (1/2)(2x) + Bx + 2/9

3x^2 + 4x + 1 = x/2 + Bx + 2/9

Multiplying both sides by 2, we get:

6x^2 + 8x + 2 = x + 18B/9

6x^2 + (8 - 18B/9)x + 2 = 0

For this quadratic equation to hold for all values of x, the coefficients of x^2 and the constant term must be equal to 0:

6 = 0 (not true)

2 = 0 (not true)

So there is no value of B that makes the equation hold for all values of x. This means we cannot use partial fraction decomposition to simplify the integral.

Instead, we can use long division to rewrite the integrand as:

3/2 x + 7/2 + (5/2) / (2x)

Now we can integrate each term separately:

∫ (3/2)x dx + ∫ 7/2 dx + (5/2) ∫ 1/(2x) dx

= (3/4)x^2 + (7/2)x + (5/2) ln|2x| + C

Therefore, the indefinite integral of (3x^2 + 4x + 1) / (2x) is:

(3/4)x^2 + (7/2)x + (5/2) ln|2x| + C

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Answer:

10.2 square feet

Step-by-step explanation:

The figure given is that of a regular hexagon

Here we can see 6 congruent triangles in the hexagon each with a base of 2 feet and a height of 1.7 feet

The area of each triangle = 1/2 bh which in this case works out to

1/2 x 2 x 1.7 = 1.7 square feet

Therefore the total area of 6  triangles = 6 x 1.7 = 10.2 square feet

As regards if there is evidence that the true mean of number of posts is less than 27, A. No. There is not evidence for the population mean to be less than 27, because 27 is within the 95% confidence interval.

The 95% confidence interval is given as 19.7 to 27.3 posts, which means that if we were to repeat the sampling process many times and construct 95% confidence intervals using each sample, approximately 95% of those intervals would contain the true population mean u.

Since the value of 27 is within the confidence interval, there is not enough evidence to suggest that the true population mean is less than 27. In other words, we cannot reject the null hypothesis that the population mean is greater than or equal to 27 based on this confidence interval.

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1. House Price: $249,900; Square footage: 2,324 square feet.

2. Lender: Wells Fargo; 30 year fixed mortgage rate: 6.5%; 20 year fixed mortgage rate: 5.99%.

3. Insurance Company: State Farm; Cost to insure house yearly: $6,345.00.

4. Property Tax: $4,183.32 (based on Maricopa County tax assessor information).

5. Possible Closing Costs: Loan origination fee: $2,500; Appraisal fee: $500; Title search and insurance: $1,000; Inspection fee: $500; Attorney fees: $1,500; Recording fees: $200; Prepaid interest: $2,000; Escrow deposit: $2,500; Total: $17,709.32.

6. Mortgage Information: Down payment: 10% of $249,900 = $24,990; Amount financed: $224,910; a) Monthly payment for 30 year fixed mortgage at 6.5%: $1,424.47; Monthly payment for 20 year fixed mortgage at 5.99%: $1,555.53; b) Total amount of interest paid over the life of the 30 year mortgage: $357,598.80; Total amount of interest paid over the life of the 20 year mortgage: $177,331.20.

7. Additional Payment Information: If an extra $500 is paid towards the monthly payment of the 30 year fixed mortgage at 6.5%, the mortgage would be paid off in 21 years and 8 months, and the total amount of interest paid would be reduced to $267,710.25. This would result in a savings of $89,888.55 over the life of the mortgage.

Final Report:

1. House Price: $249,900

Square footage: 2,324 square feet

2. Lender: Wells Fargo

30 year fixed mortgage rate: 6.5%

20 year fixed mortgage rate: 5.99%

3. Insurance Company: State Farm

Cost to insure house yearly: $6,345.00

4. Property Tax: $4,183.32 (based on Maricopa County tax assessor information)

5. Possible Closing Costs:

6. Mortgage Information:

Down payment: 10% of $249,900 = $24,990

Amount financed: $224,910

a) Monthly payment for 30 year fixed mortgage at 6.5%: $1,424.47

Monthly payment for 20 year fixed mortgage at 5.99%: $1,555.53

b) Total amount of interest paid over the life of the 30 year mortgage: $357,598.80

Total amount of interest paid over the life of the 20 year mortgage: $177,331.20

7. Additional Payment Information:

If an extra $500 is paid towards the monthly payment of the 30 year fixed mortgage at 6.5%, the mortgage would be paid off in 21 years and 8 months, and the total amount of interest paid would be reduced to $267,710.25. This would result in a savings of $89,888.55 over the life of the mortgage.

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The solution to the equation below rounded to two decimals is x = 2.77.

A number that may be entered for the variable to produce a true number statement is the answer to an equation.

The solution to the equation [tex]3^x=21[/tex] is x = 2.77 (rounded to two decimal places).

To solve this equation, we can take the logarithm of both sides using any base. Let's use the natural logarithm (ln):

[tex]3^x = 21\\\\ln(3^x) = ln(21)[/tex]

Using the power rule of logarithms, we can bring down the exponent x:

x ln(3) = ln(21)

Finally, we can solve for x by dividing both sides by ln(3):

x = ln(21) / ln(3) = 2.769...

Rounding to two decimal places gives x = 2.77.

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Answer:

Step-by-step explanation:

Here is a tree diagram to illustrate the sample space of possible outcomes for drawing two bills out of the bag without replacement:

     |-------$5----$5

$20---|

     |-------$5----$10

     |-------$5----$20

$10---|

     |-------$10---$5

     |-------$10---$20

$5----|

     |-------$20---$5

     |-------$20---$10

$5----|

     |-------$5----$20

The first branch of the tree shows the possible outcomes when the first bill drawn is a $20. The second branch shows the possible outcomes when the first bill drawn is a $10. The third branch shows the possible outcomes when the first bill drawn is a $5. For each branch, the second draw shows the remaining bills in the bag, without replacement. Each endpoint of the tree represents a specific outcome of drawing two bills out of the bag without replacement.

Answer: u should give MATHCAOF2023 brainliest

Step-by-step explanation:

The volume of the empty space in the can is approximately 10549.36 cm³

A sphere is a three-dimensional geometrical shape that is perfectly symmetrical, meaning it has the same shape and size at any orientation. The volume of a sphere can be calculated using the formula V = (4/3) × π × r^3, where V is the volume of the sphere, π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the sphere.

The volume of one ball can be calculated using the formula for the volume of a sphere:

V_ball = (4/3)πr³

where r is the radius of the ball.

For this particular ball, the radius is 3.3 cm, so

V_ball = (4/3)π(3.3)³ = 150.532 cm³ (rounded to three decimal places

To accommodate 5 balls in the can, the height of the can needs to be 10 times the radius of each ball, which is 3.3 cm, so the height of the can is 33 cm.

The volume of the can can be calculated using the formula for the volume of a cylinder:

V_can = πr²h

where r is the radius of the can and h is the height of the can.

Since the radius of the ball and the inside radius of the can are the same, the radius of the can is also 3.3 cm.

V_can = π(3.3)²(33) = 11209.226 cm³ (rounded to three decimal places)

To calculate the volume of the empty space in the can, we need to subtract the total volume of the 5 balls from the volume of the can:

V_empty = V_can - 5V_ball

V_empty = 11209.226 - 5(150.532) = 10549.36 cm³ (rounded to two decimal places)

Therefore, the volume of the empty space in the can is approximately 10549.36 cm³

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100:2=50 r 0

50:2=25 r 0

25:2=12 r 1

12:2=6 r 0

6:2=3 r 0

3:2=1 r 1

1:2 =0 r 1

[tex]\bf 100_{10}=1100100_{2}[/tex]

As per the slope-intercept form of a straight line, the equation of the required line is 5y = 6x + 8.

What is the slope-intercept form of a straight line?

The slope-intercept form of a straight line is: y = mx + c

Here, m = slope of the line , c = y-intercept

If the slope of a line is 'a', then the slope of the line that is perpendicular to the given line is (- 1/a).

The given coordinates of the points A, B, C are (2, 9); (8, 4); and C(- 3, - 2) respectively.

Therefore, the slope of the line AB is (m)

= (y₂ - y₁)/(x₂ - x₁)

= (4 - 9)/(8 - 2)

= (- 5)/6

Slope of the required line is perpendicular to AB.

Therefore, the slope of the required line is

= - 1/(- 5/6)

= 6/5

This line passes through point C(- 3, - 2).

- 2 = - 3(6/5) + c

⇒ c = -2 + 18/5

⇒ c = 8/5

The equation of the required line is

y = (6/5) x + (8/5)

⇒ 5y = 6x + 8

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Answer:

24,576

Step-by-step explanation:

24*4^(5)

Answer:

29

Step-by-step explanation:

ƒ(x) = 4x² – 3x + 2, what is f(3)

They are asking you to substitute in 3 in place of x:

ƒ(x) = 4x² – 3x + 2

ƒ(3) = 4(3)² – 3(3) + 2

ƒ(3) = 36 – 9 + 2

f(3) = 29

The program is an illustration of loops.

Loops are used to carry out repetition operations;

While loop is used when one wants to loop forever and the breaking out condition from loop is known. Certain conditions are set inside the loop along with either break statement or return statements to end the loop.

here, we have,

The program in Python, where comments are used to explain each line is as follows:

#This gets a positive integer from the user

num = int(input("Enter a positive integer: "))

#If the input is not greater than 0

if num <= 0:

  #This prints Error

  print("Error")

#If otherwise

else:

  #This iteration is repeated until 0 is printed

  while num>=0:

      #If the current number is a multiple of 5

      if num%5 == 0:

          #The number is printed

          print(num,end=" ")

      #This decreases the number by 1, until it gets to 0

      num-=1

The above program is implemented using a while loop

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Complete question:

Input an int greater than 0 and print every multiple of 5 between it and 0 inclusive in descending order. If the number is not greater than 0 print "error". Print all numbers on one line with single spaces in between.

Example:

Enter a positive integer:

42

40 35 30 25 20 15 10 5 0

Answer:

Excise taxes

Step-by-step explanation:

Excise taxes will always cause a supply curve to shift to the left. An excise tax is a tax on a specific good or service, which increases the cost of production for suppliers. As a result, suppliers will produce and supply less of the good or service, which leads to a decrease in the quantity supplied and a shift to the left in the supply curve.

the total COGS for the month of September using LIFO periodic inventory method is $14080 and  the dollar value of the ending inventory is $10800

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

To calculate COGS using LIFO periodic inventory method, we need to determine the cost of goods sold for each sale.

Sept 24 sale: 425 units sold from the most recent purchase of 450 units on Sept 18 at $20 each, so COGS for this sale is: 425 x $20 = $8,500.

Sept 10 sale: 290 units sold from the Sept 1 purchase of 500 units at $16 each and the Sept 7 purchase of 350 units at $18 each.

Since the Sept 7 purchase is more recent, we will use those units first. We sold 290 units from the Sept 7 purchase and have 60 units left over at $18 each.

COGS for this sale is: (290 x $18) + (60 x $16) = $5,580.

The total COGS for the month of September using LIFO periodic inventory method is $8,500 + $5,580 = $14,080.

b) To calculate ending inventory using LIFO periodic inventory method, we assume that the most recent purchases are still in inventory.

The ending inventory consists of the remaining 60 units from the Sept 7 purchase at $18 each and the 500 units from the Sept 1 purchase at $16 each.

Hence, the dollar value of the ending inventory is: (60 x $18) + (500 x $16) = $10,800.

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When rolling a dice, the probability that the dice will not roll a 2 will be 5/6.

Science uses a figure called the probability of occurrence to quantify how likely an event is to occur.

It is written as a number between 0 and 1, or between 0% and 100%, when represented as a percentage.

The possibility of an event occurring increases as it gets higher.

Probability, or the likelihood that an event will occur, is calculated by dividing the number of favorable outcomes by the total number of potential possibilities.

A coin toss serves as the most simple illustration. When you flip a coin, there are only two possible outcomes: heads or tails.

So, the probability formula is:

P(E) = favorable events/Total events

Now, calculate as follows:

P(E) = favorable events/Total events

P(E) = 5/6

Therefore, when rolling a dice, the probability that the dice will not roll a 2 will be 5/6.

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Answer:

Step-by-step explanation:

To solve for v, we need to isolate it on one side of the equation.

Starting with:

W = 7sy^4 - 2sv

Add 2sv to both sides:

W + 2sv = 7sy^4

Subtract W from both sides:

2sv = 7sy^4 - W

Divide both sides by 2s:

v = (7sy^4 - W) / 2s

Therefore, the solution for v is:

v = (7sy^4 - W) / 2s

Yοu shοuld invest $120,000 in Fund A and $130,000 in Fund B tο prοduce an annual interest incοme οf $6,000.

Linear equatiοns are mathematical expressiοns that represent a straight line when plοtted οn a graph. They are used tο describe relatiοnships between variables that have a cοnstant rate οf change. A linear equatiοn is typically written in the fοrm y = mx + b, where y is the dependent variable, x is the independent variable, m is the slοpe οf the line, and b is the y-intercept.

The slοpe οf the line describes hοw much the dependent variable changes fοr a given change in the independent variable. The y-intercept is the pοint at which the line intersects the y-axis.

Accοrding tο the questiοn:

Tο determine hοw much mοney yοu shοuld invest in each fund, yοu can set up the fοllοwing system οf equatiοns:

Let x be the amοunt invested in Fund A and y be the amοunt invested in Fund B.

x + y = $250,000 (tοtal amοunt invested)

0.012x + 0.062y = $6,000 (annual interest incοme target)

Sοlving fοr x and y, yοu get:

x = $120,000 invested in Fund A

y = $130,000 invested in Fund B

Therefοre, yοu shοuld invest $120,000 in Fund A and $130,000 in Fund B tο prοduce an annual interest incοme οf $6,000.

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Answer:

f Kyle's net worth is $672 and his liabilities are $314, we can calculate his total assets as follows:

Total assets = Net worth + Liabilities

Total assets = $672 + $314

Total assets = $986

Therefore, Kyle's total assets are $986.

Step-by-step explanation:

To find the total of Kyle's assets, we need to subtract his liabilities from his net worth:

Assets = Net worth - Liabilities

Assets = $672 - $314

Assets = $358

Therefore, the total of Kyle's assets is $358. The correct option is C.

Answer:

D) ON'(-11,-2), M'(-8'-1), O'(-11'-5)

Answer:

The last option is the answer.

D. ON'(-11, -2), M(-8, -1), O'(-11, -5)

The 16.7 feet fire escape that forms a right triangle with a 8.9 feet base, according to the Pythagorean Theorem indicates that the distance between the two platforms is about 14 feet

The Pythagorean Theorem states that if the lengths of the legs of a right triangle are a and b and the length of the hypotenuse side of the right triangle is c, then c² = a² + b².

Possible part of the question obtained from a similar question posted online includes;

The shape formed by the fire escape = A right triangle

Length of the base of the right triangle = 8.9 feet

Length of the fire escape (the hypotenuse side of the right triangle) = 16.7 feet

The distance between the two platforms = The height of the right triangle = x

The Pythagorean Theorem applied to the right triangle indicates that we get;

Square of the length of the hypotenuse side = Sum of the square of the legs of the right triangle

Therefore; 16.7² = 8.9² + x²

x² = 16.7² - 8.9² = 199.68

x = √(199.68) ≈ 14

The distance between the two platforms is about 14 feet

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The amount of the repayment check was $22199.492.

What is the interest rate?

The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate. The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.

Here, we have

Given: A loan of $21,532 was repaid at the end of 6 months.

We have to find the size repayment check (principal and interest)

was written, if a 6.2% annual rate of interest was charged.

Principal P = $21,532

Rate r = 6.2% = 0.062/yr

Time t = 6 months = 6/12 = 0.5 yr

Interest = Principal * rate * time

I = Prt

I = 21,532×0.062×0.5

I = $667.492

The loan repayment is the original Principal plus the interest.

A = $21,532 + $667.492

A = $22199.492

Hence, The amount of the repayment check was $22199.492.

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If y varies inversely as x, we can write the relationship between x and y as:

y = k/x

where k is a constant of proportionality. To find k, we can use the given information that y = 5 when x = 2:

5 = k/2

Solving for k, we get:

k = 10

Now we can write the equation that relates x and y:

y = 10/x

To find y when x = 6, we substitute x = 6 into the equation:

y = 10/6 = 5/3

Therefore, when x = 6, y = 5/3.

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Answer:

n = 8

Step-by-step explanation:

The two angles are complementary angles which add up to 90°

Therefore
(7n - 3) + 37 = 90

7n - 3 + 37 = 90

7n + 34 = 90

7n = 90 - 34

7n = 56

n = 56/7
  = 8

Therefore n = 8

Answer: n= 8°

Step-by-step explanation:

Given: We can see in the diagram that we have Right angle , In this Perpendicular diagram , we have two angle ;

Let , a= 37°

        b= (7n-3)°

To Find::  Value of n =?

Solution: It is clear from the diagram that

               The total angle of the Diagram is 90° ,

              So,

               a + b=90° - (1)

             Put the value of a and b in Equation (1),

            We have ,

              37° + (7n-3)°= 90°

                      (7n-3)°=90°-37°

                      (7n-3)°= 53°

                       7n°=53°+3

                        7n°=56°

                          n= 8°

Answer:   n= 8°  

Answer:

At the time of this writing (October 2020), 1 euro is equivalent to 1.18 US dollars. This means that 1.22 euros per liter would be equivalent to 1.42 US dollars per gallon.

Step-by-step explanation:

Wish you the Best with your studies!

The rate of the slower jet is 562 mi/h and the rate of the faster jet is 656 mi/h.

Distance is a measure of the physical separation between two objects or points. It is a fundamental concept in geometry, physics, and other sciences, and it is used to describe the length or size of objects, the speed of motion, and the magnitude of forces.

Let's call the rate of the slower jet "r" (in mi/h). Then the rate of the faster jet is "r+94" (since it's traveling 94 mi/h faster).

We know that after 2 hours, the two jets are 2436 miles apart. We can use the formula:

distance = rate x time

For the slower jet, the distance it has traveled is:

distance = rate x time = r x 2 = 2r

For the faster jet, the distance it has traveled is:

distance = rate x time = (r+94) x 2 = 2r + 188

The total distance between the two jets is the sum of these distances:

2r + (2r + 188) = 2436

Simplifying this equation, we get:

4r + 188 = 2436

Subtracting 188 from both sides:

4r = 2248

Dividing by 4:

r = 562

So the rate of the slower jet is 562 mi/h. The rate of the faster jet is:

r+94 = 562+94 = 656 mi/h

Therefore, the rate of the slower jet is 562 mi/h and the rate of the faster jet is 656 mi/h.

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The function that satisfied the table is defined as follows:

y = (x + 2)(x - 6).

According to the Factor Theorem, the function is defined as a product of it's linear factors, which are dependent on the zeros of the function.

The zeros of a function are the values of x when y = 0, hence they are given as follows:

x = -2 and x = 6.

Then the linear factors are given as follows:

Meaning that the function is defined as follows:

y = (x + 2)(x - 6).

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The length of the rectangle with an area of 21 sq yards is 7 yards.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know, The area of a rectangle is, (length×width).

Given, A rectangle flower bed had a total area of 21 square yards.

Therefore, (l×w) = 21.

Also given, That it is 3 yards.

Therefore, 21 = 3×l.

l = 21/3.

l = 7 yards.

Q. A rectangle flower bed had a total area of 21 square yards. If it was

3 yards wide how long it was?

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Answer:

[tex] - 2.5[/tex]

Firstly you have to substitute the values of f(x), g(x) and h(x) into k(x)

After substituting, simplify k(x), then to get k'(x) you have to differentiate the function using quotient rule . After proper differentiation, just substitute -1 as your value of X for K' and you will arrive at your answer.

I hope the diagram is clear enough

if the solving was useful pls can u give me the brainliest answer

The cost of renting a car for 15 days is given as follows:

$668

To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.

The points for this problem are given as follows:

(1, 56), (2, 82), (3, 108), (4, 134), (5, 212), (6, 290).

Inserting these points into a calculator, the linear regression equation giving the cost of renting a car for x days is given as follows:

y = 45.3x - 11.6.

Hence the cost for 15 days is given as follows:

y = 45.3(15) - 11.6

y = $668 -> rounded.

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A transaction in which a customer recieves back money he/she had previously deposited at a bank is called a withdrawal.

The transaction in which a customer receives back money he/she had previously deposited at a bank is called a withdrawal. A withdrawal is the opposite of a deposit, in which a customer puts money into a bank account.

When a customer makes a withdrawal, the money is taken out of the account, and the customer can either receive cash or a check for the amount of the withdrawal, or transfer the funds to another account.

Withdrawals can be made from various types of bank accounts, such as checking accounts, savings accounts, and money market accounts.

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Answer: Withdrawl

Explanation: When a customer deposits at a bank, they add money to their account. This money is then available for them to use in various ways, such as making purchases or paying bills. However, there may come a time when the customer wants to take some of the money back out of their account. This is when they would request a withdrawal.

Here's an example to help show the concept: Let's say you have $100 in your bank account and want to withdraw $50. You would go to the bank and fill out a withdrawal slip, indicating the amount you want to take out. The bank would then give you $50 in cash, reducing the balance in your account to $50.

It's important to note that withdrawals can be made in different forms, depending on the bank and the customer's preferences. For example, you may be able to withdraw money through an ATM, by writing a check, or by using online banking services.

TL;DR - a withdrawal is a transaction where a customer receives back money they had previously deposited at a bank. It allows customers to access the funds in their accounts for various purposes. Happy to help; have a great day! If you appreciated my answer, please give me Brainliest :)