An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 3 ft long with a diameter of 1.8 ft. Suppose oil is drained at a rate of 1.7 ft³ per minute. If the tank starts completely full, how many minutes will it take to empty the tank? Use the value 3.14 for pi, and round your answer to the nearest minute. Do not round any intermediate computations.

Answer:

In 2x*3y, you must multiply each term together. 2*3=6 and x*y=xy. So, 2x*3y=6xy.

If I had $14 to spend, the park that I will choose based on the information will be park D where 6 rides cost $16.50

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this case, if I had $14 to spend, the park that I will choose based on the information will be park D where 6 rides cost $16.50. This is because it's the cheapest.

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The summation of the values in the table is -0.65

Just take the sum between the products of the values in the correspondent rows, the first row gives:

-1*0.999 = -0.999

The second row gives:

349*0.001 = 0.349

Then the sum between these two gives:

-0.999 + 0.349 = -0.65

That is the summation.

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Amount, in U.S. dollars, will Ezra receive for his bounus check Ezra will receive 180 U.S. dollars for his bonus check.

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It is used to make sense of numerical data by summarizing it and drawing conclusions from it. Statistics is used in a wide range of fields, from social sciences to medicine, engineering, and business.

To convert Canadian dollars to U.S. dollars, we need to know the exchange rate. Let's assume that the exchange rate is 1 Canadian dollar = 0.80 U.S. dollars.

First, we need to convert Ezra's paycheck from Canadian dollars to U.S. dollars:

720 Canadian dollars * 0.80 U.S. dollars/Canadian dollar = 576 U.S. dollars

So Ezra receives 576 U.S. dollars for his paycheck.

To find out how much he will receive for his bonus check, we need to convert it from Canadian dollars to U.S. dollars:

225 Canadian dollars * 0.80 U.S. dollars/Canadian dollar = 180 U.S. dollars

Therefore, Ezra will receive 180 U.S. dollars for his bonus check.

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Step-by-step explanation:

To simplify the expression:

(-11r² +8rs + 4s² ) − (11r² − 4rs – 3s²), we need to perform the subtraction operation by distributing the negative sign to each term inside the parentheses:

-11r² + 8rs + 4s² - 11r² + 4rs + 3s²

Now we can combine like terms by adding or subtracting coefficients of the same variables:

(-11r² - 11r²) + (8rs + 4rs) + (4s² + 3s²)

Simplifying further, we get:

-22r² + 12rs + 7s²

Therefore, the simplified expression is -22r² + 12rs + 7s².

After 5 hours, there will be 700 gallons of water still in the pool.

Given that, the pool has 1,200 gallons of water and can drain 100 gallons an hour.

After 5 hours, the total amount of water drained from the pool will be 100 gallons per hour times 5 hours, or 500 gallons.

= 100 gallons × 5

= 500 gallons

To find out how much water will still be in the pool, we need to subtract the amount of water drained from the original amount "y":

This forms an equation.

Amount of water still in the pool = original amount - water drained from the pool.

y = 1,200 gallons - 500 gallons

y = 700 gallons

Therefore, 700 gallons of water is still in the pool.

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Answer: After each half-life, the amount of radioactive isotope will be reduced to half its previous amount. Therefore, after 5 half-lives, the amount remaining will be:

155 grams / 2^5 = 4.84 grams (rounded to two decimal places)

So, after 5 half-lives, approximately 4.84 grams of the radioactive isotope will be left.

Step-by-step explanation:

Answer:

The garment manufacturer must order 640.56 kg of fabric and the total cost of fabric purchased would be S$3,843.36.

Explanation:

To find out how much fabric must be ordered in kg, we need to first convert the yards to meters, then calculate the weight of the fabric in kg.

1 yard = 0.9144 meters 3,500 yards = 3,202.8 meters

Density = 200 gm/m² = 0.2 kg/m²

Total weight of fabric = 3,202.8 meters x 0.2 kg/m² = 640.56 kg

Therefore, the garment manufacturer must order 640.56 kg of fabric.

The cost of fabric per kg is S$6.

Therefore, the total cost of fabric purchased is:

Total cost = 640.56 kg x S$6/kg = S$3,843.36

Answer:

2/3 is not equal to 60%

Step-by-step explanation:

2/3 of is equal to 66.6%

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{Question reads..}[/tex]

[tex]\rm{Suzanna \ says \ that \ \dfrac{2}{3} \ and\ 60\% \ are \ equal.\ Is\ she \ correct?}\\\\\rm{Justify \ your \ thinking.}[/tex]

[tex]\huge\textsf{Let us make the problem easier to solve}[/tex]

[tex]\mathtt{\dfrac{2}{3} = 2\div 3 = 0.666667}\\\\\mathtt{ 0.666667\times100 = 66.67\%}\\\\\mathtt{\dfrac{2}{3} \approx 66.67\%}\\\\\\\\\mathtt{\dfrac{2}{3}\neq 60\%}[/tex]

[tex]\huge\text{Is she correct? Justify your thinking.}[/tex]
[tex]\huge\boxed{\mathtt{No, \she\ is \ incorrect\ because\ \dfrac{2}{3}\ is}}\\\\\huge\boxed{\mathtt{equivalent\ to\ approximately \ 66.67\%}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

2 (x + 8) + 5x.

Step-by-step explanation:

This question is to find the algebraic expression given by words. Call the unknown number x. Then the sum of it and eight is x + 8. Two sets of it means 2 (x + 8). Now that added to five times the number is 2 (x + 8) + 5x. Then, the answer is: 2 (x + 8) + 5x.

Answer:

Step-by-step explanation:

[tex]A=\pi r^2=\pi \times 5^2=25\pi[/tex]

Solution: [tex]A=25\pi[/tex] units²

It should be noted that 768 hand-held color televisions can be sold at $320 per television.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

It should be noted that to find the number of hand-held color televisions sold at $320 per television, we need to substitute p = 320 into the supply model or demand model and solve for N.

Using the supply model:

N = 2.4p = 2.4(320) = 768

Therefore, at a price of $320 per television, the supplier is willing to produce 768 hand-held color televisions per week.

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a) To estimate Bad Debt Expense under the Allowance Method, Bigger Corp needs to create an adjusting entry at the end of the period. The entry will increase Bad Debt Expense and create a contra-asset account, Allowance for Doubtful Accounts. The entry will be:

Bad Debt Expense 44,000

Allowance for Doubtful Accounts 44,000

The calculation for the entry is: 8% * $550,000 = $44,000.

b) After the adjustment in (a), the net realizable value of Bigger Corp's accounts receivable is:

Accounts Receivable $550,000

Allowance for Doubtful Accounts ($69,000)

Net Realizable Value $481,000

c) To write off Customer F's debt of $20,000 under the Allowance Method, Bigger Corp needs to create another journal entry that decreases both accounts receivable and the allowance account. The entry will be:

Allowance for Doubtful Accounts 20,000

Accounts Receivable - Customer F 20,000

d) After writing off Customer F's debt, the net realizable value of Bigger Corp's accounts receivable is:

Accounts Receivable $530,000

Allowance for Doubtful Accounts ($69,000)

Net Realizable Value $461,000

An aging of accounts receivable is a report that categorizes a company's accounts receivable by the length of time the invoices have been outstanding. The report typically breaks down the receivables by 30-day periods, such as 0-30 days, 31-60 days, 61-90 days, and 91+ days. This report is used to help management identify which accounts are overdue and may require follow-up action, and to estimate the amount of bad debt expense that may need to be recorded.

Selling on account has several advantages, such as increasing sales revenue and customer loyalty. It also allows customers to buy products or services they need without having to pay immediately, which can be beneficial for both parties. However, there are also disadvantages, such as the risk of non-payment, the need to manage accounts receivable and collection efforts, and the potential for bad debt expense. Additionally, selling on account may require additional resources to manage, such as billing and collections staff.

Notes Receivable is a written promise to pay a specified amount of money at a specific future date. Accounts Receivable, on the other hand, represent amounts owed to a company by its customers for goods or services sold on credit. Notes Receivable usually carry interest and have a longer-term repayment schedule compared to Accounts Receivable, which are typically due within a shorter time frame, such as 30 days.

Answer:

For an item to have measurable volume, the item must have space and must have a closed surface. Therefore, the item is the cereal box.

Step-by-step explanation:

hope its right!

The fastest speed at which you can go around the curve without the book sliding is equal to 4.43 m/s.

According to Newton's Second law of motion, the centrifugal force which acts on a physical object that is moving around a curve in the x-direction (x-coordinate) and y-direction (y-coordinate) is modeled by the following mathematical equations:

∑Fx = Fc = mv²/r (x-direction)

∑Fy = Fmax = n - W = mg = 0

Fmax = μmg

Where:

Generally speaking, the maximum speed of a physical object would be attained when its static friction is maximum. Therefore, we would have the following:

Fmax = μmg = mV²/r

Making V the subject of formula, we have:

Maximum speed, V = √μgr

Maximum speed, V = √(0.2 × 9.8 × 10)

Maximum speed, V = 4.43 m/s.

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Hope this answer helps.

1. The function that will directly calculate the final price on an item is " a * 0.455".

2. The percentage that is actually being saved by the custumer is 54.5%.

The final price of an item after the discount and coupon can be calculated using the following function:

Final price = a * (1 - 0.35) * (1 - 0.30)

Final price = a * 0.455

This function first applies the 35% discount, which reduces the original price (a) to 65% of its value. Then, it applies the 30% coupon to the discounted price, which reduces it to 70% of its value.

Original price = $100

Sale price (35% off) = $100 * (1 - 0.35)

Sale price (35% off) = $65

Final price = $65 * (1 - 0.30)

Final price = $45.50

Savings = $100 - $45.50

Savings = $54.50

Percentage saved:

= (Savings / Original price) * 100%

= ($54.50 / $100) * 100%

= 54.5%

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Answer:

17,242 cm³

Step-by-step explanation:

Step 1:

Volume of square prism = (area of base) * height

Volume of square prism = (25 * 30) * 25

Volume of square prism = 750 * 25

Volume of square prism = 18,750 cm³

Step 2:

Volume of cylinder = (area of base) * height

Volume of cylinder = (π * (8/2)²) * 30

Volume of cylinder = 16π * 30

Volume of cylinder = 480π

Volume of cylinder ≈ 1,508 cm³

Step 3:

Volume of composite = (Volume of square prism) − (Volume of cylinder)

Volume of composite = 18,750 cm³ − 1,508 cm³

Volume of composite = 17,242 cm³

The probability that the next piece of quartz Nora picks will be yellow is [tex]\frac{1}{9}[/tex].

What is probability?

Probability is a tool that can be used to calculate the likelihood of an event. It can only be used to assess the likelihood that an event will take place. a scale where 0 represents impossibility and 1 represents a particular occurrence.

We are given that Nora picks pieces 18 times from the box and gets 3 purple, 2 yellow, 5 white, and 8 pink quartz pieces.

So, for the event,

⇒ Probability of yellow pieces = [tex]\frac{2}{18}[/tex]

⇒ Probability of yellow pieces = [tex]\frac{1}{9}[/tex]

Hence, the probability that the next piece of quartz Nora picks will be yellow is [tex]\frac{1}{9}[/tex].

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Step-by-step explanation:

3y is not a constant for it has a variable.

However, (2+8) = (10) is a constant

The solution to the homogenous equation is M = c₁e⁻(ⁿ² + √[n(n+1)n] + c₂e⁻(ⁿ²-√[n(n+1)n

To solve the second order differential equation:

d²M/dn² + 2n (dM/dn) = n

We can use the method of undetermined coefficients. First, we assume a particular solution of the form M = An + B, where A and B are constants to be determined. We then find the first and second derivatives of M:

dM/dn = A

d²M/dn² = 0

Substituting these into the differential equation, we get:

0 + 2n(A) = n

Solving for A, we find:

A = 1/2

So the particular solution is:

M = (1/2)n + B

To find B, we can substitute the particular solution into the original differential equation:

d²M/dn² + 2n (dM/dn) = n

0 + 2n(1/2) = n

So the homogeneous solution is:

Mh = C1n + C2

where C1 and C2 are constants to be determined. The general solution is the sum of the homogeneous and particular solutions:

The solution to the homogenous equation is;

M = c₁e⁻(ⁿ² + √[n(n+1)n] + c₂e⁻(ⁿ²-√[n(n+1)n

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Thus, the closest area of the blue painted region (square - circle) on teh canvas is 7.7 sq. ft.

A circle is an a double shape made up of a collection of points that are spaced regularly apart from one another (called the radius) on a plane. The fixed point is referred to as the circle's origin or centre, and the defined distance between each point and the origin is referred to as the radius.

Given data:

Area of painted region  = Area of square - Area of circle  

Area of painted region = side² - π*r²

Area of painted region = 6² -  3.14*3²

Area of painted region = 36 -  28.26

Area of painted region = 7.74

Thus, the closest area of the blue painted region (square - circle) on teh canvas is 7.7 sq. ft.

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Answer:

70 gold and bronze

Step-by-step explanation:

Add gold at 20 percent and bronze at 50 percent to get 70 percent gold and bronze.

The value of a triangular piece of land is, 1500 dollars.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We know that;

Area of triangular piece of land = 1/2 x  length x height

Here, Length = 20m

Height = 10m

Hence, We get;

Area = 1/2 x 20 x 10

       = 100 cm²

Since, The land is 15 dollar per square meter.

Hence, The total value is,

Value = 15dollars x 100

         = 1,500 dollars

Thus, The value of a triangular piece of land is, 1500 dollars.

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Sam had 21 hits, and Jessica had 42 hits

A linear equatiοn is a mathematical equatiοn that can be written in the fοrm οf "ax + b = c", where "a", "b", and "c" are cοnstants and "x" is the variable being sοlved fοr. Linear equatiοns describe a straight line relatiοnship between variables.

Let's use variables tο represent the number οf hits that Jessica and Sam had.

Let's say that Sam had x hits.

Accοrding tο the prοblem, Jessica had dοuble the amοunt οf hits Sam had, sο Jessica had 2x hits.

Tοgether, they had 63 hits, sο we can write an equatiοn:

x + 2x = 63

Simplifying the equatiοn:

3x = 63

Dividing bοth sides by 3:

x = 21

Sο Sam had 21 hits, and Jessica had dοuble that amοunt, οr 42 hits.

Therefοre, Sam had 21 hits, and Jessica had 42 hits

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     $5.05                                     15

+    $9.05                                     20

+  $13.05                                     25

+  $17.05                                      30

+  $21.05                                 +   35

   $65.25                                  125      

NUMBER OF CUPS SOLD :-125

TOTAL PROFIT:- $65.25

The volume of the new figure is approximately 63.36 ft³.

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

If the dimensions of a figure are multiplied by a scale factor of k, then its volume will be multiplied by a factor of k³.

In this case, the dimensions are multiplied by 2/5, which is the same as multiplying by a scale factor of 0.4 (2/5 = 0.4). Therefore, the volume of the new figure will be:

V' = (0.4)³ * V

where V is the original volume.

Substituting V = 975 ft³, we get:

V' = (0.4)³ * 975 ft³

V' ≈ 63.36 ft³

Therefore, the volume of the new figure is approximately 63.36 ft³.

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There are 260 students who attend Juniper Middle School. The average daily unexcused absences increased by 25% from September to October.

a. Let's assume that the total number of students at Juniper Middle School is "x."

Given that 55% of the students are in the 8th grade, we can write:

0.55x = number of 8th grade students

And since the remaining 117 students are in 7th grade, we can write:

x - 0.55x = 117

0.45x = 117

x = 260

Therefore, there are 260 students who attend Juniper Middle School.

b. To find the percent change from September to October, we can use the formula:

percent change = ((new value - old value) / old value) x 100%

Substituting the given values, we get:

percent change = ((6 - 4.8) / 4.8) x 100%

percent change = (1.2 / 4.8) x 100%

percent change = 25%

Therefore, the average daily unexcused absences increased by 25% from September to October.

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Answer:   A. The first quartile is 65.

Reason:

25% of the data is below the 1st quartile.

75% of the data is above the 1st quartile.

The third quartile is 65 is the true statement.

Option C is the correct answer.

We have,

The first quartile (Q1) represents the 25th percentile of the data, meaning 25% of the data falls below this value.

The third quartile (Q3) represents the 75th percentile of the data, meaning 75% of the data falls below this value.

Since 75% of pistachio ice cream is purchased by people above the age of 65, it means that the third quartile (Q3) of the data is 65.

Thus,

The third quartile is 65 is true.

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