How does estimating the number 3,456 to the nearest thousand affect accuracy?

Answer:

The solution is −6+10.

Step-by-step explanation:

The number of cars that must be made to minimize the unit cost is 300 cars which is determined by differentiation.

Differentiation is a mathematical process that determines the instantaneous rate of change of a function based on one of its variables. The most common example is velocity, which is the rate of change of displacement with respect to time. Anti-differentiation is the inverse of finding a derivative.
Differentiation is used to calculate the rate of change of quantities in real time.

Since, we have been given the cost function to be function \((cx)= 1.1^{2} - 660x+107,357\) then we have to find the first differentiation in order to get the value and this will be:-

\((cx)= 1.1^{2} -660x+107,357\\2.2x=660\\x=\frac{660}{2.2} \\x=300\)

Therefore, the number of cars that must be made to minimize the unit cost is 300 cars.

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Answer:

A) She should buy the

Step-by-step explanation:

Part A:

For question A, we find the areas of both plots and see which one is greater.

For the first one, we do 3/8 * 2/3

\(\frac{3}{8} * \frac{2}{3} = \frac{6}{24} = \frac{1}{4}\)

The area of the first plot is 1/4 square miles

For the second one, we do 2/5 * 2/5

\(\frac{2}{5} *\frac{2}{5} = \frac{4}{25}\)

The area of the second plot is 4/25 square miles

We have 1/4 and 4/25.

To see which one is bigger, we make them have the same denominator, also known as the LCM (Least Common Multiple).

LCM(4,25) = 100

Now we make 1/4 have a denominator of 100

4 times what is 100?

25, so the numerator is 25 and the denominator is 100.

We get: 25/100

Now we make 4/25 have a denominator of 100

25 times what is 100?

4, so the numerator is 4 * 4 = 16 and the denominator is 100.

We get: 16/100

Now we can see which is bigger:

25/100 or 16/100

25/100 is bigger

Therefore, Miguel's mother should buy the plot with dimensions 3/8 and 2/3.

Part B

For part B, I'm not sure which plot of land she is going to pay for, so I will answer both.

We answered this in Part A already.

The 3/8 and 2/3 plot was 1/4 square miles and the 2/5 by 2/5 plot was 4/25 square miles.

Plot 1:

1/4 square miles

It said that it costs $750,000 for a square mile

This plot is 1/4 square miles, so we do

\($750,000 * \frac{1}{4} = \frac{750,000}{4} = 187,500\)

The cost for plot 1 is $187,500

Plot 2:

4/25 square miles

It said that it costs $750,000 for a square mile

This plot is 4/25 square miles, so we do

\(750,000*\frac{4}{25} = \frac{3,000,000}{25} = 120,000\)

The cost for plot 1 is $120,000

So for the 3/8 by 2/3 plot, it cost $187,500 and for the 2/5 by 2/5 plot costs $120,000

ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘᴇᴅ!

ʜᴀᴠᴇ ᴀ ɴɪᴄᴇ ᴅᴀʏ!

To find the equation of the parabola with its vertex at the origin and its axis along one of the coordinate axes, we can use the following steps:

Step 1: Identify the axis of the parabola.
Since the parabola's vertex is at the origin, its axis will be one of the coordinate axes. In this case, it will be either the x-axis or the y-axis.

Step 2: Determine the focus of the parabola.
Given that the focus of the parabola lies on the line 3x + 4y = 12, we can rewrite this equation in terms of either x or y to find the coordinates of the focus. Let's rewrite it in terms of x:

3x = 12 - 4y
x = (12 - 4y) / 3

The x-coordinate of the focus is (12 - 4y) / 3. Since the parabola's vertex is at the origin, the y-coordinate of the focus will be 0.

So, the coordinates of the focus are [(12 - 4y) / 3, 0].

Step 3: Find the equation of the parabola.
Since the vertex is at the origin, the general equation of a parabola with its vertex at the origin and axis along the x-axis is given by:

x^2 = 4ay

where "a" is the distance between the focus and the vertex.

Using the coordinates of the focus we found in Step 2, we can substitute [(12 - 4y) / 3, 0] into the equation:

[(12 - 4y) / 3]^2 = 4a(0)

Simplifying the equation further:

(12 - 4y)^2 = 0

Expanding and solving for y:

144 - 96y + 16y^2 = 0

16y^2 - 96y + 144 = 0

Dividing the equation by 16:

y^2 - 6y + 9 = 0

Factorizing the quadratic equation:

(y - 3)^2 = 0

Taking the square root of both sides:

y - 3 = 0

y = 3

So, the equation of the parabola is x^2 = 4a(3), which simplifies to x^2 = 12a.

In conclusion, the equation of the parabola with its vertex at the origin and axis along one of the coordinate axes, where the focus lies on the line 3x + 4y = 12, is x^2 = 12a.

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Answer:

It is daytime for me

Step-by-step explanation:

Answer:

Sue = 18-x

Tony = (18+x)/2

Step-by-step explanation:

Sue donates x amount of sweets

Tony receives x amount of sweets then eats half of them.

There will be approximately 320 bacteria in 10 hours.

To determine the number of bacteria in 10 hours, we need to calculate the number of doubling cycles that occur within that time period.

Since the bacteria population doubles every 2 hours, in 10 hours, there will be 10/2 = 5 doubling cycles.

Starting with approximately 5 bacteria, each doubling cycle will result in the population doubling. Therefore, the number of bacteria after 5 doubling cycles can be calculated as follows

5 bacteria * (2^5) = 5 * 32 = 160

Hence, there will be approximately 160 bacteria after 5 doubling cycles or after 10 hours.

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Answer:

33 us liquid quarts

Step-by-step explanation:

Hope You Enjoy !

Answer:

33 qt

Step-by-step explanation:

Formula: Multiply the volume value by 4.125

8 1/4 x 4 = 33

Or We can also

Formula: Multiply the volume value by 4

8 x 4 = 32

and then 1/4 = 1

32 + 1 = 33

Hence, the correct answer is [C] 33 qt

[RevyBreeze]

Answer: neither

Step-by-step explanation:

y=mx+b

y=2x+3

m= 2/1

y-1=1/2(x+2)

y-1=1/2x +1

+1          +1

y=1/2x + 2

m=1/2

Answer:

see explanation

Step-by-step explanation:

(1)

0.5 = \(\frac{5}{10}\) = \(\frac{1}{2}\)

(2)

3.8 = 3 \(\frac{8}{10}\) = \(\frac{10(3)+8}{10}\) = \(\frac{30+8}{10}\) = \(\frac{38}{10}\) = \(\frac{19}{5}\)

Answer:

38%

Step-by-step explanation:

22 ÷ 58 = 0.3793...

Ans × 100 = 37.93%

As a whole number = 38%

Answer:

x = 13/7 or x = 1 6/7

Step-by-step explanation:

If Triangle ABC is reflected over the line y = 1. Then the coordinates of B' are (-2, 5)

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

Now, we should reflect point B with respective to line y=1,

let us consider the reflected point coordinates be (h,k).

As  B is reflected with respect to line y=1 which is parallel to X-axis, the X-coordinate will be same.

and the midpoint of B and reflected point (h,k)  lies on line y=1

Hence h=-2 and (K-3)/2=1

k-3=2

k=5

Hence the reflected point of B i.e B' is (-2, 5)

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Answer:

2 and 1/2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The 45 45 90 triangle means that the hypotenuse is just one of the two legs multiplied by rad2. This means that leg s is 10.

The length of the leg is 10.

Option B is the correct answer.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

Sin 45 = Opposite face to angle 45/ Hypotenuse

1/√2 = s / 10√2

s = 10√2 / √2

s = 10

Thus,

The length of the leg is 10.

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Using it's concept for the difference between points, the absolute value inequality |x - y| < 10 represents when Erik wins the game, and the inequality |x - y| ≥ 10 represents when Nina wins the game.

Erik and Nita are playing a game with numbers. In the game, they each think of a random number from zero to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers to greater than 10, then Nita wins. Use what you know about inequalities and absolute values to better understand the game.

The absolute function is defined by:

It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.

For this problem, we have that:

The difference between these two numbers is:

|x - y|.

Erik wins if the difference is less than 10, hence:

|x - y| < 10.

Hence:

Using it's concept for the difference between points, the absolute value inequality |x - y| < 10 represents when Erik wins the game, and the inequality |x - y| ≥ 10 represents when Nina wins the game.

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Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

The logarithm and exponential functions are inverse of each other. The exponential function raises a number to a power and the logarithm gives the power that the number has to be raised to in order to equal a given value. In other words, the exponential function expresses exponential growth, while the logarithm expresses exponential decay.

For example, if y = 2^x, then x = log2(y). This logarithmic relationship is useful in solving exponential problems and understanding exponential dynamics.

In exponential dynamics, logarithms are used to study and model changes that occur at exponential rates, such as population growth or decay, interest rate calculations, and many other real-world applications. The logarithmic relationship helps to simplify the exponential equations and make them easier to work with.

In summary, the logarithm and exponential functions are important in understanding exponential dynamics because the logarithmic relationship helps to simplify exponential problems and make them easier to solve.

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Answer:

0.12 x (x + 3000) = 4200

equation for her salary last year : last year's salary = (4200 / 0.12) - 3000

$32,000

Step-by-step explanation:

Let x = last year's salary

this year's salary = 3000 + x

this equation can be used to determine how much she saved this year = 0.12 x (x + 3000) = 4200

to find last year's salary, make x the subject of the formula

4200 / 0.12 - 3000 = x

x = $32,000

I understand you want to find an angle in a triangle using given information. In this case, you have angle A, side a (opposite angle A), and side b. To solve this, you can use the Law of Sines:
sin(A) / a = sin(B) / b
Given that angle A and sides a and b are known, you can solve for angle B using the following steps:
Step 1: Rearrange the equation to isolate sin(B):
sin(B) = (b * sin(A)) / a
Step 2: Substitute the given values of angle A, side a, and side b into the equation:
sin(B) = (b * sin(A)) / a
Step 3: Calculate the value of sin(B) using the values from Step 2.
Step 4: Find angle B by taking the inverse sine (arcsin) of the value calculated in Step 3:
B = arcsin(sin(B))
Now, you have found angle B using the given information. Remember that the sum of angles in a triangle is 180 degrees, so you can find the third angle, C, by subtracting angles A and B from 180:
C = 180 - A - B
You have now found all angles in the triangle using the given information and the Law of Sines.

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The probability of not spinning a 3 is 8/9

From the question, the given parameters are:

Number of sections = 9

Sections = Number 1 to 9

The probability of spinning a 3 = 1/9

The above probability can be represented as

P(3) = 1/3

The probability that the number 3 is not spun is the complement of the  probability of spinning a 3

This is calculated as

P(3) + P(Not 3) = 1

Substitute the known values in the above equation So, we have the following equation

1/9 + P(Not 3) = 1

Evaluate the like terms

P(not 3) = 8/9

Hence, the probability is 8/9

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The geometric average of the five returns is 20.14.%

Geometric average or geometric mean is the average of a set of values calculated using the products of the terms or values.

The geometric average of a data set containing n observations is the nth root of the product of the values.

Calculating the geometric average of the following five returns: -36.81%, 19.14%, 23.77%, -6.34%, 31.17%:

n = 5

Geometric average = \(\sqrt[5]{(-36.81) \times (19.14) \times (23.77) \times (-6.34) \times (31.17)}\)

Geometric average = 20.14%

In conclusion, the geometric average  mean is obtained as the  nth root of the product of the values.

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The value of K is 2.

Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.

We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.

Using the formula for the surface area, we have:

Initial surface area * (scale factor)^2 = Final surface area

50 * K^2 = 200

Dividing both sides of the equation by 50:

K^2 = 200/50

K^2 = 4

Taking the square root of both sides:

K = √4

K = 2

Therefore, the value of K is 2.

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Answer:

g³ - 24g - 96 = 0

Step-by-step explanation:

g³ = 24(g + 4)

g³ = 24g + 96

g³ - 24g - 96 = 0

Answer:37

Step-by-step explanation:

10+(9*5)+4-22

Diego will ride 21 miles in 2.5 hours as a result, which is answer option C as 8.4 miles per hour divided by 2.5 hours equals 21 miles.

Mathematicians use the unitary technique to address proportional relationship issues involving two or more quantities. To answer problems involving rates, ratios, and proportions, it is frequently employed in academics and everyday life. With the unitary technique, the value with one unit is first determined, and the value of the desired amount of units is then determined using this value. The unitary technique can be used, for instance, to determine the price of 1 pen if the price of 4 pens is $8. Cost of 1 pen equals the sum of the costs of 4 other pens. One pen costs $8 plus $4. One pen costs $2.

given

Diego will cover 2.5 miles in that time, according to the following formula:

Rate times distance

Diego's bicycle travels at an average speed of:

Rate: Distance x Time

Hence, we may determine his rate as:

12.6 miles divided by 1.5 hours equals 8.4 miles per hour.

Now that we know this rate, we can calculate how far Diego will travel in 2.5 hours:

8.4 miles per hour divided by 2.5 hours equals 21 miles in the formula for distance.

Diego will ride 21 miles in 2.5 hours as a result, which is answer option C as 8.4 miles per hour divided by 2.5 hours equals 21 miles.

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1) they collected 192 1-rupee coins, 2) 64 5-rupee coins, 3) 96 10-rupee coins, and 4) they invested $ 96 in making diyas.

Since students of a school collected total money $ 1568, and they got 1 rupee coins, 2 rupee coins, 5 rupee coins and 10 rupee coins, and the number of 10 rupee coins are half of 1 rupee coins, 5 rupee coins are one third of 1 rupee coins and 2 rupee coins are one-fourth of 1 rupee coins, and total number of coins are 400, and total amount of 2 rupee coins is invested on making diyas and amount of 10 rupee coins invested on making sweets, to determine:

1. How many 1 rupee coins did they collect?

2. How many number of 5 rupee coins they collected?

3. How many number of 10 rupee coins they collected?

4. How much money is invested on making diyas?

The following calculations must be performed:

Therefore, 1) they collected 192 1-rupee coins, 2) 64 5-rupee coins, 3) 96 10-rupee coins, and 4) they invested $ 96 in making diyas.

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Answer:

5, 9,13,17

Step-by-step explanation:

5 +4 +4+4

Game theory is a branch of mathematics that deals with the study of decision-making in situations where two or more individuals or groups are involved.

It aims to predict the outcomes of these decisions by analyzing the strategies and incentives of each player. In the context of oligopoly, game theory helps us understand how firms interact and compete with each other in a market. Oligopoly is a market structure where a small number of large firms dominate the market. In this situation, firms must take into account the actions and reactions of their competitors when making decisions about pricing, production, and advertising. Game theory provides a framework for analyzing the strategic behavior of firms in an oligopolistic market. It helps us understand how firms may collude or engage in strategic behavior to gain an advantage over their competitors. It also provides insights into how changes in market conditions or government regulations can affect the behavior of firms in an oligopoly. I can say that visual aids and real-world examples can be helpful in understanding complex concepts like game theory. Video clips can be a great way to illustrate key ideas and make them more accessible to a wider audience. However, it is important to remember that game theory is a highly technical field and may require a significant amount of study and practice to fully grasp its concepts and applications.

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