Along with the wood, Jack is also using some nails to build the shelves. One box of nails has a mass of kilograms (kg).



Jack used between and of the nails in the box.

How many kilograms of nails did Jack use to build the shelves? Show your work or explain your answer.

Answer:

i think it is b

Step-by-step explanation:

Check the picture below.

Answer:

70.8

Step-by-step explanation:

Answer:

The number of deliveries that are predicted to be made to homes during a week with 50 deliveries to business is 87 deliveries

Step-by-step explanation:

The data categorization are;

The number of home deliveries = x

The number of delivery to businesses = y

The line of best fit is y = 0.555·x + 1.629

The number of deliveries that would be made to homes when 50 deliveries are made to businesses is found as follows;

We substitute y = 50 in the line of best fit to get;

50 = 0.555·x + 1.629 =

50 - 1.629 = 0.555·x

0.555·x = 48.371

x = 48.371/0.555= 87.155

Therefore, since we are dealing with deliveries, we approximate to the nearest whole number delivery which is 87 deliveries.

Answer:87

Step-by-step explanation:

The equation states that the sum of these temperature values, multiplied by -47 Tm.n divided by (4.35 * k), should equal zero. This equation likely arises from a discretization scheme for solving a heat transfer or diffusion problem numerically, where the temperature at each grid point is approximated based on neighboring points.

The equation you provided is:

Tm,n+1 + Tm,n-1 + Tm+1,1 + Tm-in = -47 Tm.n / (4.35 * k)

This equation appears to represent a numerical scheme or a finite difference approximation for solving a partial differential equation. The equation relates the temperature values at different grid points in a two-dimensional domain. Here's a breakdown of the terms in the equation:

• Tm,n+1 represents the temperature at the (m, n+1) grid point.

• Tm,n-1 represents the temperature at the (m, n-1) grid point.

• Tm+1,1 represents the temperature at the (m+1, 1) grid point.

• Tm-in represents the temperature at the (m, n) grid point.

• k is a constant related to the thermal conductivity of the material.

• 4.35 is a scaling factor.

The equation states that the sum of these temperature values, multiplied by -47 Tm.n divided by (4.35 * k), should equal zero. This equation likely arises from a discretization scheme for solving a heat transfer or diffusion problem numerically, where the temperature at each grid point is approximated based on neighboring points.

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Answer:

1.2/2.3/3.2/4.1/5.3

Step-by-step explanation:

Out of the 60 staff in the office, the majority of them preferred kebab as their favorite type of takeaway pizza, with 18 people choosing it.

A survey was conducted among the 60 staff members in the office to determine their favorite type of takeaway pizza. The results revealed that 18 people preferred kebab, making it the most popular choice among the staff. This indicates that approximately 30% of the surveyed staff members chose kebab as their favorite type of pizza.

The next highest preference was for "other" with 19 people selecting this option. This category could include a variety of different types of pizza not specifically mentioned in the survey options. It is worth noting that this category had a slightly higher preference than kebab.

Fish and Chips was the third most popular choice, with 14 people selecting it as their favorite type of takeaway pizza. This indicates that around 23% of the staff members preferred fish n chips pizza.

The remaining preferences were lower in comparison, with 6 people choosing curry as their favorite and the remaining staff members either not expressing a specific preference or selecting options not mentioned in the survey.

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The total time required to fill the pool completely as per the inlet and drain pipe capacity is given by 146.25 hours.

Let's assume that the capacity of the pool is 1 unit .

The inlet pipe can fill the pool at a rate of 1/26 units per hour.

The drain pipe can empty it at a rate of 1/30 units per hour.

When both pipes are open,

The net rate of filling is the difference between the rate of filling and the rate of emptying,

Net rate = Rate of filling - Rate of emptying

⇒Net rate = 1/26 - 1/30

⇒Net rate = (30 -26 )/780

⇒Net rate = (4)/780

⇒Net rate = 1/195 units per hour

Since the pool is already 25% filled.

This implies,

It still needs to be filled by another 0.75 units.

The time required to fill the pool by 0.75 units at a net rate of 1/195 units per hour can be found using the formula,

Time = Amount of filling needed / Net rate

⇒Time = 0.75 / (1/195)

⇒Time = 146.25 hours

Therefore, the total time taken to fill the pool completely would take another 146.25 hours.

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If |q| = 5 at an angle of 45° and |r| = 16 at an angle of 300°. then the

|q – r| will be 18.0

To find |q - r|, we need to subtract the complex numbers q and r after which discover the magnitude (or absolute value) of the end result.

First, we want to express q and r in rectangular form, which means that finding their actual and imaginary additives:

For q, we've:

|q| = 5 at an perspective of 45°

Re(q) = |q| cos(45°) = five cos(45°) = 5/√2

Im(q) = |q| sin(45°) = 5 sin(45°) = 5/√2

So q = (5/√2) + (5/√2)i

For r, we have:

|r| = 16 at an angle of 300°

Re(r) = |r| cos(300°) = 16 cos(300°) = sixteen(-√3/2) = -8√three

Im(r) = |r| sin(300°) = 16 sin(300°) = -8

So r = -8√three - 8i

Now we are able to discover q - r by using subtracting the actual and imaginary additives:

q - r = (5/√2) + (5/√2)i - (-8√3 - 8i)

= (5/√2) + 8√3 + (5/√2 + 8)i

To discover |q - r|, we want to take the importance of this complex number:

|q - r| = √[(5/√2 + 8√3)² + (5/√2 + 8)²]

= √[25/2 + 80√3 + 192 + 50/2 + 40 + 64]

= √[125/2 + 80√3 + 256]

= √[625/4 + 320√3 + 1024]

= √[(25/2 + 16√3)²]

= 25/2 + 16√3

≈ 18.0

Hence, |q - r| is about equal to 18.0.

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Options a, b, d, and g are the correct conditions for a Binomial Distribution.

The four conditions necessary for X to have a Binomial Distribution are:

a. There are n set trials: In a binomial distribution, the number of trials, denoted as "n," must be predetermined and fixed. Each trial is independent and represents a discrete event.

b. The trials must be independent: The outcomes of each trial must be independent of each other. This means that the outcome of one trial does not influence or affect the outcome of any other trial. The independence assumption ensures that the probability of success remains constant across all trials.

d. There can only be two outcomes, a success and a failure: In a binomial distribution, each trial can have only two possible outcomes. These outcomes are typically labeled as "success" and "failure," although they can represent any two mutually exclusive events. The probability of success is denoted as "p," and the probability of failure is denoted as "q," where q = 1 - p.

g. The probability of success, p, is constant from trial to trial: In a binomial distribution, the probability of success (p) remains constant throughout all trials. This means that the likelihood of the desired outcome occurring remains the same for each trial. The constant probability ensures consistency in the distribution.

The remaining options, c, e, and f, are not conditions necessary for a binomial distribution. Option c, "Continue sampling until you get a success," suggests a different type of distribution where the number of trials is not predetermined. Options e and f, "You must have at least 10 successes and 10 failures" and "The population must be at least 10x larger than the sample," are not specific conditions for a binomial distribution. The number of successes or failures and the size of the population relative to the sample size are not inherent requirements for a binomial distribution.

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Answer:

Answer:

21

Step-by-step explanation:

5. the coefficients aₙ are determined by the recurrence relation (n-1)naₙ₋₂ + naₙ₋₁ + aₙ = 0. 6. ∑[n=0 to ∞] (n+1)(n+2)aₙxⁿ⁺² - 7∑[n=0 to ∞.

5. To find the series solution of the differential equation **y" + xy' + y = 0**, we can assume a power series representation for the unknown function **y**:

**y = ∑[n=0 to ∞] aₙxⁿ**.

Differentiating **y** with respect to **x**, we obtain:

**y' = ∑[n=0 to ∞] (n+1)aₙxⁿ⁺¹**.

Taking another derivative, we have:

**y" = ∑[n=0 to ∞] (n+1)(n+2)aₙxⁿ⁺²**.

Substituting these expressions for **y**, **y'**, and **y"** back into the differential equation, we get:

**∑[n=0 to ∞] (n+1)(n+2)aₙxⁿ⁺² + x∑[n=0 to ∞] (n+1)aₙxⁿ⁺¹ + ∑[n=0 to ∞] aₙxⁿ = 0**.

Next, we reindex the series terms to ensure consistency in the powers of **x**:

**∑[n=2 to ∞] (n-1)naₙ₋₂xⁿ + x∑[n=1 to ∞] naₙ₋₁xⁿ + ∑[n=0 to ∞] aₙxⁿ = 0**.

Now, let's combine all the terms and set the coefficient of each power of **x** to zero:

For **n=0**: **a₀ = 0** (from the constant term).

For **n=1**: **a₁ = 0** (from the **x** term).

For **n≥2**:

**(n-1)naₙ₋₂ + naₙ₋₁ + aₙ = 0**.

This recurrence relation allows us to determine the coefficients **aₙ** in terms of **aₙ₋₁** and **aₙ₋₂**.

To summarize, the series solution of the differential equation **y" + xy' + y = 0** is given by:

**y = a₀ + a₁x + ∑[n=2 to ∞] aₙxⁿ**,

where the coefficients **aₙ** are determined by the recurrence relation:

**(n-1)naₙ₋₂ + naₙ₋₁ + aₙ = 0**.

6. (a) To solve the Euler's differential equation **x²y" - 7xy' + 16y = 0**, we assume a power series solution:

**y = ∑[n=0 to ∞] aₙxⁿ**.

Differentiating **y** with respect to **x**, we obtain:

**y' = ∑[n=0 to ∞] (n+1)aₙxⁿ⁺¹**.

Taking another derivative, we have:

**y" = ∑[n=0 to ∞] (n+1)(n+2)aₙxⁿ⁺²**.

Substituting these expressions for **y**, **y'**, and **y"** back into the differential equation, we get:

**∑[n=0 to ∞] (n+1)(n+2)aₙxⁿ⁺² - 7∑[n=0 to ∞

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The formula for calculating the effective annual rate of interest with quarterly compounding is:

(1 + r/4)^4 - 1 = A/P

where r is the quarterly interest rate, A is the final amount, and P is the principal.

In this case, P = $2,000, A = $3,000, and the time period is 7 years or 28 quarters.

So we have:

(1 + r/4)^4 - 1 = 3000/2000

(1 + r/4)^4 = 1.5

1 + r/4 = (1.5)^(1/4)

r/4 = (1.5)^(1/4) - 1

r = 4[(1.5)^(1/4) - 1]

To get the effective annual rate, we need to convert the quarterly rate to an annual rate by multiplying by 4:

effective annual rate = 4[(1.5)^(1/4) - 1] ≈ 8.84%

Therefore, the effective annual rate of interest at which $2,000 will grow to $3,000 in seven years if compounded quarterly is approximately 8.84%, rounded to 2 decimal places.

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Answer:

In the question it is given ,

nth tem of sequence is n²+20

So, first term is (1)²+20=21

Second term is (2)²+20=24

Third term is (3)²+20=29

brainliest please :) hope this helped

Answer:  I don’t see anything

Step-by-step explanation:

Answer:

6999999

Step-by-step explanation:

Funny Number.

The value of the voltage of the electricity is 6 + j + 2j²

From the question, we have the following parameters that can be used in our computation:

C = 2 - j

I = 3 + 2j

The formula of voltage is given as

V = CI

Substitute the known values in the above equation, so, we have the following representation

V = (2 - j) * (3 + 2j)

Open the brackets

So, we have

V = 6 + 4j - 3j + 2j²

Evaluate the like terms

V = 6 + j + 2j²

Hence, the voltage is 6 + j + 2j²

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Answer:

c = 29

Step-by-step explanation

heeyyyy I know this question was posted a long time ago, but uhhhhhh I felt like answering anyways sooooooo

Ok, so since the angle across from b is 97˚, that means b is 97˚ as well.

So then we have 54 + 97 + c = 180

151 + c = 180

c = 29

Answer:

f(2) = 22

Step-by-step explanation:

To find f(#), plug the number into each x of the equation.

f(x) = 10x + 2

f(2) = 10(2) + 2

Simplify the parentheses by multiplying.

f(2) = 20 + 2

Add.

f(2) = 22

Hope this helps!

Answer:

480 and 481

Step-by-step explanation:

2 conservative

let's say the first number is x

the second number is x+1

so x + (x+1) = 961

2x + 1 = 961

2x = 960

x = 480

the first number is x , so it equals 480

the second number is x+1, so it equals 481

An expression for the product √15x * √21x³ without a perfect square

factor in the radicand is: 3x²√35

The number or expression written under a root symbol or radical sign is known as a radicand in math. It is an expression of which we are taking a root.

A perfect square is a number, from a given number system, that can be expressed as the square of a number from the same number system. Examples of Numbers that are Perfect Squares. 25 is a perfect square

√15x * √21x³

The product of roots with the same index is equal to the root, so

√(15x * 21x³)

Calculate the sum inside the radical

√315x⁴

Then, you can simplify the radical expression and move the variable + exponent to get:

3x²√35

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Complete question is:

Write an expression for the product √(15x) * √(√21x³) without a perfect square factor in the radicand.

The answer is a discount price: RS.300

                           Selling price: RS 1700

                           Cost price: RS 1500

The marked price is 2000

by applying the known mathematics

discount amount: 100 × (Original price - Discounted price) / Original price

                              =2000 × 15%

                              =300

 selling price: Cost Price + Profit Margin.

                        =2000-300

                        =1700

  cost price :  {100/(100 + Profit%)} × SP.

                     =2000-2000×25%

                    = 1500

by these calculations, we can achieve our answers

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Answer:

39

Step-by-step explanation:

Since the first measure is 39 that means the second is 39 because its the same.

Circumference = 2 x pi x r

Circumference = 2 x 3.14 x 3.5m

Circumference = 21.98

Round to 22m

The answer is c. 22m

Answer: It’s 6.5

Step-by-step explanation: Bruh just look it up on google

Answer:

4 1/8

Step-by-step explanation:

1 1/8 x 3 2/3 = ?

9/8 x 11/3 = 99/24

99/24 = 4 1/8

Answer:

1. find the least common denominator for the left-hand side fraction. This brings you to 8/8x + 3x/8x = 1/2

2. Add the numerator on the left-hand side of this equation, (8+3x)/8x = 1/2

3. Multiply both sides by 2, that will lead you to (8+3x)/4x =1/1

4. Multiply both sides by 4x, we get 8+3x=4x

5. Finally, subtracting 3x from both sides simplifies the equation to x=8. Note that this is as simple as this expression can get so you can not go any further, therefore 1/x+3/8=1/2 simplifies to x=8.

Step-by-step explanation:

Using linear equations, it is 3570metre  from the post office to the

library

What is a linear equation ?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form

Ax + B = 0

e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.

The standard form of a linear equation in two variables is of the form

Ax + By = C

e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

Length of each block=275 meter

let's Create a linear equation from this i.e. 275x where x=number of blocks.

No. of blocks from  post office to the library = 13 (x=13)

so, distance of  post office to the library= 275*13

                                                                    =3575meter

                                                        ≈3570 meter (round to nearest 10th)

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We can solve systems of equations with 3 variables using substitution by finding the value of one variable from one equation then putting the value of that variable in second equation and 3 equation then solving them properly.

The algebraic approach for system can significantly systems of equations at once is called the substitution method. As the name implies, this method involves substituting a variable's value from one equation into another. In this manner, a pair of linear equations are combined into a single, simple linear equation with just one variable.

Equations linear in three variables:

1. Use all but one of your equations to find all the variables that can be expressed in terms of one of the variables.

2. Determine the variable's numerical value using the one remaining equation.

3. Using that figure, determine the answers to all of the other variables.

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Answer:   2 7/10

Step-by-step explanation:  

1 + 1 = 2 + 7/10 = 2 7/10

Answer:

17.2 hours, or 17 hours and 12 minutes

Step-by-step explanation:

If she reads 50 pages per hour, then 860/50 = 17.2

Monetary Unit Sampling ensures larger dollar components are selected for examination by using stratification and probability theory, which improves the effectiveness of the audit and saves time and resources.

Monetary Unit Sampling (MUS) is a statistical sampling method used in auditing to estimate the number of monetary errors in a population of transactions. MUS ensures that larger dollar components are selected for examination by using probability theory and stratification techniques.

In MUS, each individual transaction is assigned a dollar value or monetary unit. The auditor then selects a sample of transactions using a random sampling method, with a higher probability of selecting larger monetary units. This is achieved by stratifying the population into different strata or layers based on their monetary value.

For example, the population may be divided into strata such as transactions under $1,000, transactions between $1,000 and $10,000, and transactions over $10,000. The auditor can then assign different sampling rates to each stratum, with a higher sampling rate for the larger stratum.

By selecting larger dollar components for examination, MUS can improve the effectiveness of the audit by focusing on transactions with a higher potential for material misstatement. This can also reduce the sample size required for the audit, saving time and resources while still providing a reasonable estimate of the monetary errors in the population.

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