the ideal way to organize electronically the raw data for a study is to:____.

No, multiplying by 10x10x10 is not the same as multiplying by 10 factors of 3.

Multiplying by 10x10x10 is not equivalent to multiplying by 10 factors of 3. When you multiply a number by 10, you're essentially adding a zero to the end of it, shifting all the digits one place to the left. So, multiplying by 10 three times (10x10x10) adds three zeros to the original number. However, when you multiply by 10 factors of 3, you are essentially multiplying the number by 3 ten times consecutively. This results in a different outcome.

For instance, if you start with the number 5 and multiply by 10x10x10, you would get 5,000. On the other hand, multiplying by 10 factors of 3 would yield a much larger number, 59,049, because each multiplication by 3 amplifies the result. Therefore, the two operations are not equivalent.

Therefore, multiplying by 10x10x10 and multiplying by 10 factors of 3 yield different outcomes. The former adds three zeros to the original number, while the latter multiplies the number by 3 repeatedly, resulting in a much larger value. It's crucial to understand the distinction between these operations to avoid confusion and accurately calculate mathematical expressions.

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Step 1: 3x + 2 - 4x Distributive Property: The distributive property is used to multiply the 2 by the 4x, resulting in 8x.

The distributive property is a rule of mathematics that states that when you multiply a number by the sum of two other numbers, the result is the same as if you had multiplied the number by each of the two numbers separately and then added the results together. This property is also known as the distributive law of multiplication over addition. For example, if you are asked to multiply 3 x (2 + 5), you can use the distributive property to calculate it as 3 x 2 + 3 x 5, which equals 6 + 15, or 21.

Step 2: 3x + 8x, Combine Like Terms: The like terms of 3x and 8x are combined, resulting in 11x.
Step 3: 11x ÷ 11, Division Property: The division property is used to divide 11x by 11, resulting in x.

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Answer:

$124407.36

Step-by-step explanation:

Simple interest formula: I = P x R x T / 100

22 x 12 months = 264 months (=22 years)

7854 x 6 x 264 / 100 = $124,407.36

Answer:

To keep my head up and focus on the good instead of the bad. To understand that life gets hard. I would remind myself that I'm worth it and I am a strong person. I would tell myself that whatever bad happens, something good will come out of it. To remind myself that all the bad I've been through is only making me a stronger person. And I would remind myself that everything happens for a reason, whether I see it now or I see it later on down the road. I would remind myself that it's never too late to change for the better. I would tell my self "you made it this far, your strong". And I would tell myself that I can do whatever I put my mind to. And that nothing is impossible.

Hope this helps :)

Step-by-step explanation:

If someone could travel back in time one year, the advice I would give myself would be to embrace change and adaptability. The world is constantly evolving, and it is important to stay open-minded and flexible in order to thrive.

I would encourage myself to be proactive in seeking opportunities for growth and learning, even if they seem daunting or unfamiliar at first. Additionally, I would remind myself to prioritize self-care and mental well-being. It is easy to get caught up in the hustle and bustle of daily life, but taking time for oneself is crucial.

Whether it be spending time in nature, practicing mindfulness, or pursuing hobbies and interests, nurturing my own happiness should be a priority. Lastly, I would advise myself not to dwell on past mistakes or missed opportunities.

Every setback is an opportunity for growth, and it is important to learn from these experiences rather than letting them define me. By adopting a positive mindset and focusing on the present moment, I can ensure that I make the most of every opportunity that comes my way.

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Answer:40

Step-by-step explanation:

look at the number of lions at 22 which should be one line after 20, if you use a ruler to connect that line to the best-fit green line you can find the answer 40 as the side on the number of hyenas (number 40) is directly aligned with the part of the green line you previously connectec

Answer:

is that a test

Step-by-step explanation:

The British government might be especially happy to have former military people settle in the region due to their experience and skills in areas such as security, defense, and crisis management.

These individuals are often highly trained and disciplined, which can be valuable assets in maintaining stability and ensuring the safety of the local population. Additionally, former military personnel may have a strong sense of loyalty and connection to their country, which can foster a sense of community and cooperation among residents. Overall, the British government may see these individuals as valuable contributors to the region's development and security. Additionally, their presence may act as a deterrent to potential adversaries. Moreover, their knowledge of military strategy could aid in the development of infrastructure and contribute to regional growth. Overall, the integration of ex-military individuals could strengthen the British government's influence and ensure a secure environment.

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the probability that a positive integer less than 100 picked at random has all distinct digits is 90.

He has 99 positive integers less than 100.

The integers that do not have all distinct digits have the same digit twice.

11, 22, 33, 44, 55, 66, 77, 88, 99

There are 9 integers that do not have distinct digits, therefore there are 99-9 integers that do.

Probability is without a doubt how probable something is to show up. whenever we are uncertain about the final results of an occasion, we can talk about the possibilities of sure outcomes and how probable they are. The analysis of events governed by opportunity is referred to as records.

A chain of moves in which the results are usually unsure. The tossing of a coin, selecting a card from a deck of playing cards, throwing a cube. occasion. it is a single final results of an experiment. Getting a Heads whilst tossing a coin is an event.

Simple probability is the calculation of an outcome or the chance of an event ever taking place. coverage companies use possibility statistics to determine the possibilities of having to pay out a declare. A simple chance is calculated by way of dividing a particular outcome through all of the feasible outcomes.

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Answer:

Step-by-step explanation:

Since C=2(3.14)r and D=2r

C=3.14D

C/D=3.14

Answer:

After 3 months, Simon will be able to pay off his loan with the money he holds at his savings account.

Step-by-step explanation:

ending loan's principal balance = beginning loan's principal balance - number of months x $300

or we can simplify it:           l₁ = l₀ - 300x ⇒ l₁ = 3,300 - 300x

l₁ = ending loan's principal balance

x = number of months

ending savings account balance = beginning savings account balance + number of months x $600

or we can simplify it:         s₁ = s₀ + 600x ⇒  s₁ = 1,000 + 600x

s₁ = ending savings account balance

x = number of months

account balances for months

                                    month 1        month 2         month 3         month 4

boat loan                     $3.000         $2,700          $2,400           $2,100

savings account          $1,600         $2,200          $2,800           $3,400

Answer:

y equals 300x plus 3300

Step-by-step explanation:

(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

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Answer:

y=2x-5

Step-by-step explanation:

Answer and explanation is in the picture.

The equation of a line is given by:

y = mx + c

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

The equation of the line that passes through the point (3, 1) and (1, -3) is

y = 2x - 5.

The equation of a line is given by:

y = mx + c

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

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of a line is y = mx + c

(3, 1) = (a, b)

(1, -3) = (c, d)

Slope:

= (d - b) / (c - a)

= (-3 - 1) / (1 - 3)

= -4 / -2

= 2

m = 2

Now,

We can choose any point and set it as (x, y) and substitute it in the equation.

(3, 1) = (x, y)

y = mx + c

1 = 2 x 3 + c

1 = 6 + c

c = 1 - 6

c = -5

Now,

m = 2

c = -5

The equation of the line that passes through the point (3, 1) and (1, -3) is

y = 2x - 5.

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According to the model, -9 (7v + 9.7) = -63v - 87.3. The solution has been obtained by using area model.

What is an area model?

An area model is a rectangular graphic used in mathematics to multiply and divide two numbers or expressions. The length and breadth of the rectangle are determined by the factors, also known as the quotient and divisor.

We are given an expression as -9 (7v + 9.7).

Using area model,

-9 * 7v = -63v

Similarly,

-9 * 9.7 = -87.3

On combining both, we get

-9 (7v + 9.7) = -63v - 87.3

Hence, the value for the expression is -63v - 87.3.

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Given : A custom made football field is 200 yards long and 80 yards wide.

To find the area of the football field in square meters, we need to convert the measurements from yards to meters and then calculate the area.

Length of the field = 200 yards Width of the field = 80 yards

1 yard is equal to 0.9144 meters. So, we can convert the measurements as follows:

Length in meters = 200 yards * 0.9144 meters/yard Width in meters = 80 yards * 0.9144 meters/yard

Now, we can calculate the area of the field in square meters:

Area in square meters = Length in meters * Width in meters

Substituting the values:

Area = (200 yards * 0.9144 meters/yard) * (80 yards * 0.9144 meters/yard)

Simplifying the expression:

Area = (200 * 0.9144 * 80 * 0.9144) square meters

Calculating the result:

Area ≈ 11839.68 square meters

Therefore, the area of the custom made football field is 200 yards long and 80 yards wide.  is approximately 11839.68 square meters.

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Answer:

The missing dimension of the prism is (x-4)

Step-by-step explanation:

Here, we want to find the missing dimensions of the prism

To get the volume, we are to multiply three dimensions since we are talking about volume

Mathematically, to find the third dimension, we need to divide the original polynomial by the product of the two other dimensions

The product of the two other dimensions is;

(x-1)(x-9) = x^2-9x-x + 9

= x^2-10x+ 9

So we divide;

(x^3-14x^2+49x-36)/(x^2-10x+ 9)

We can use long division to get this

using long division, the answer here is x-4

The volume of a prism is the product of its dimensions.

The missing dimension of the prism is x - 4

The volume function is given as:

\(\mathbf{V(x) = x^3 - 14x^2 + 49x - 36}\)

Let the missing dimension of the prism be y.

So, the volume is calculated using:

\(\mathbf{V(x) = y \times (x - 9) \times (x -1)}\)

Multiply the factors

\(\mathbf{V(x) = y \times ( x^2-9x-x + 9)}\)

\(\mathbf{V(x) = y \times ( x^2-10x + 9)}\)

Equate both expressions of volume

\(\mathbf{y \times ( x^2-10x + 9) = x^3 - 14x^2 + 49x - 36}\)

Make y the subject

\(\mathbf{y = \frac{x^3 - 14x^2 + 49x - 36}{x^2-10x + 9 }}\)

Factor the numerator

\(\mathbf{y = \frac{(x - 4)(x^2-10x + 9 )}{x^2-10x + 9 }}\)

Cancel out common factors

\(\mathbf{y = x - 4}\)

Hence, the missing dimension of the prism is x - 4

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Therefore , the solution of the given problem of unitary method comes out to be total amount spent by Ria £129.58.

By multiplying the value about one unit by the quantity of units required, one can apply the unit technique to solve a problem. The unit procedure is used to separate a single entity integer from a given many, to put it simply. One pen, or 400 rupees, would be needed to purchase 40 needle. There might be a common way to verify this. only one nation. Anything has a unique feature. Algebra, grid logic, and its laminates and reverse are all identical terms used to describe mathematical analysis.

Here,

Given : Ria purchases 19 books for £6.82 apiece.

Thus,

Total cost of book = 19 * 6.82

=> 129.58

Therefore , the solution of the given problem of unitary method comes out to be total amount spent by Ria £129.58.

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The investment problem is modeled by an initial value problem (IVP) where the rate of change of the investment is determined by the initial investment, monthly deposits, and the interest rate.

a) The investment problem can be modeled by an initial value problem where the rate of change of the investment, y(t), is given by the initial investment, monthly deposits, and the interest rate. The IVP can be written as:

dy/dt = 0.09y + 200, y(0) = 500.

b) To solve the IVP, we can use an integrating factor to rewrite the equation in the form dy/dt + P(t)y = Q(t), where P(t) = 0.09 and Q(t) = 200. Solving this linear first-order differential equation, we obtain the solution for y(t).

c) To find the value of the investment after 2 years, we substitute t = 2 into the obtained solution for y(t) and calculate the corresponding value.

d) After 2 years, the monthly deposit increases to $300. To find the value of the investment a year later, we substitute t = 3 into the solution and calculate the value accordingly.

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Step-by-step explanation:

hope it will help you...

Answer:

radius of cylinder = 1 cm

Step-by-step explanation:

Start with the formula for the volume of a cylinder:  V = (pi)r²h, where r is the radius and h is the height.  We want to solve this for the radius, r.

Dividing both sides of the Volume formula (above) by (pi)h, we get:

           V

r² = -----------

        (pi)h  

If we now substitute 12.56 cc for V, 3.14 for pi and 4 cm for h, we get:

          V           12.56 cc

r² = ---------- = ----------------- = 1 cm²

       (pi)h         3.14(4 cm)

Taking the square root of both sides, we get    r = 1 cm

Answer:

I believe it is C.

Step-by-step explanation:

Conservation of number, which is the understanding that the quantity of an object remains the same even if its appearance or arrangement changes.

Four-year-old Dimitri has not acquired the concept of conservation.

Conservation refers to the understanding that certain properties of objects, such as quantity, remain the same even when their appearance changes, as long as nothing is added or removed.

In this case,

Dimitri incorrectly believes that increasing the spacing between nickels in one row results in more nickels, failing to understand that the quantity remains the same.

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The fraction of the animals in chickens is 52/80 which is 0.65 in decimal form.

So, (A) The fraction of the animals is chickens: 52/80

Simplest form: 13/20

(B) In decimal form: 0.65

Therefore, the fraction of the animals in chickens is 52/80 which is 0.65 in decimal form.

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The reasonable models of disease spread among a finite number of people are given by the equations:

dN/dt = alpha N

dN/dt = alpha (N_T - N)

dN/dt = alpha (N - N_T)

In the context of epidemiology, these differential equations represent different scenarios for the spread of a disease within a population. The variable N represents the number of infected individuals, and N_T represents the total population size. The parameter alpha represents the rate at which the disease spreads.

In the first model (1), the rate of change of infected individuals is proportional to the current number of infected individuals (N). This model assumes that the disease spreads based on the existing infected population alone.

In the second model (2), the rate of change of infected individuals is proportional to the difference between the total population (N_T) and the current number of infected individuals (N). This model assumes that the disease spreads based on the susceptible population size.

In the third model (3), the rate of change of infected individuals is proportional to the difference between the current number of infected individuals (N) and the total population (N_T). This model assumes that the disease spreads based on the immune or recovered population.

These models provide a mathematical framework to understand and study the dynamics of disease spread within a finite population. The choice of model depends on the specific characteristics and assumptions about the disease being studied.

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Answer:

11

Step-by-step explanation:

3(1)^2 = 3

2^3 = 8

3+8=11

Answer: m=-18

Step-by-step

9*-2=-18 to get m, as 4/-2 = -2

Answer:

answer id the 4th degree angle

Step-by-step explanation:

The first table shows proportionality, The second does not have this

In the first there is a proportional relationship between x and y on the table.

That is y = 6 * x

when

48 = 6 * 8

60 = 6 * 10

72 = 6 * 12

On the other table the values are not proportional

12 = 6 * 2

28 = 7 * 4

64 = 8 * 8

The difference between the tables is that the first showed us a constant of proportionality 6 ,while the other does not have a constant of proportionality.

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We know that

Jordan earns $17.65 per hour. (rate)

The number of hours is 85.

He worked 35 overtime hours.

The smallest non-infinite positive integer (whole number) this representation cannot represent is \(2^-^2^4\)

Each number is addressed as 1.fraction * 2^exponent.

The key here is to know there are limits for both exponent (8 bits) and a fraction (23 bits), however, these limits don't really coordinate.

For instance, we can make 2^24 with the 8 bits exponent, while we can't make 2^-24 with a fraction (since it just has 23 bits).

In this way, in the event that you need to make number 16777216 = 2^24, you just set the fraction to 0 and set the exponent to address 24.

In any case, on the off chance that you need to address 16777217 = 2^24 + 1, the solitary thing you can do is to add a little fraction so when it duplicates with 2^24 it produce 1, and that little fraction ought to be 2^-24, which shockingly can't be created by just 23 digits.

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