what 43 x 680 x 43 + 4 help me plz

The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.

The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.

In other words, it involves using sample data to make generalizations or predictions about a larger population.

Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.

It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.

This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.

These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.

The goal of inferential statistics is to provide insights into the larger population based on a representative sample.

It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.

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The final image is real since it is located to the right of the second lens. It is also upright since the magnification is positive.

(a) Using the thin lens formula, 1/f = 1/p + 1/q, where f is the focal length, p is the object distance, and q is the image distance, we have:

1/f = 1/p - 1/q1

Substituting the given values, we get:

1/11.6 = 1/16.2 - 1/q1

Solving for q1, we get:

q1 = 6.97 cm

Therefore, the image formed by the first lens is located 6.97 cm to the right of the lens.

(b) The image formed by the first lens acts as an object for the second lens. Using the thin lens formula again, we have:

1/f = 1/p2 + 1/q1

Substituting the given values, we get:

1/5 = 1/p2 + 1/6.97

Solving for p2, we get:

p2 = 3.32 cm

The distance from the second lens to the image of the first lens is then:

q2 = p2 + q1 = 3.32 + 6.97 = 10.29 cm

Therefore, the image of the first lens is located 10.29 cm to the right of the second lens.

(c) The object distance for the second lens is simply the image distance of the first lens:

p2 = q1 = 6.97 cm

(d) Using the thin lens formula again, we have:

1/f = 1/p2 + 1/q2

Substituting the given values, we get:

1/5 = 1/6.97 + 1/q2

Solving for q2, we get:

q2 = 13.95 cm

Therefore, the final image is located 13.95 cm to the right of the second lens.

(e) The magnification of the first lens is given by:

m1 = -q1/p = -6.97/16.2 ≈ -0.43

(f) The magnification of the second lens is given by:

m2 = -q2/p2 = -13.95/3.32 ≈ -4.20

(g) The total magnification of the system is given by the product of the magnifications of the two lenses:

m = m1 × m2 ≈ 1.81

(h) The final image is real since it is located to the right of the second lens. It is also upright since the magnification is positive.

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Answer:

Step-by-step explanation:

that sounds like a you problem

12x3=36

can i get brainest

Answer:

Step-by-step explanation:

1. 500

2. 10

3. 25000

Answer:

Zulus.

Explanation:

The Zulus are a group of ethnic people from the Bantu tribe in Southern Africa. They also constitute the largest ethnic group in South Africa and were a separate kingdom before the attack by the Britishers in 1879.

Therefore, it is only reasonable to say that the resistance to the British rule in Southern Africa was led by the Zulus as it was their land. The Ethiopians, Egyptians, and Liberians were African nations but not a part of the Southern African area. Ethiopia is in the East, Liberia in the West, and the Egyptians in the North part of Africa.  

Answer:

A. To find a linear equation that models the temperature T when crickets are chirping at x chirps per minute, we need to use two points that are known. In this case, we are given that a cricket produces 120 chirps per minute at 70 degrees F and 168 chirps per minute at 80 degrees F. We can use these two points to find the slope and y-intercept of the line.

The slope of a line can be found using the formula: m = (y2 - y1) / (x2 - x1)

In this case, we can substitute the given values to get:

m = (168 - 120) / (80 - 70) = 48/10 = 4.8

The y-intercept of a line can be found using the formula: b = y - mx

We can use the point (70, 120) and the slope that we found to get:

b = 120 - (4.8 * 70) = -264

So the linear equation that models the temperature T when crickets are chirping at x chirps per minute is:

T = 4.8x - 264

B. If the crickets are chirping at 150 chirps per minute, we can substitute this value for x in the equation we found above to estimate the temperature:

T = 4.8x - 264

T = 4.8(150) - 264 = 720 - 264 = 456

So the estimated temperature is 456 degrees F.

C. The y-intercept of the line is -264, it represents the temperature when x (chirps per minutes) is zero. In this case it represents the temperature when the cricket is not chirping which is impossible, so it doesn't have any physical meaning.

The statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is NOT true.

A. The statement is true. The ratios of the vertical rise to the horizontal run, also known as the slopes, of any two distinct nonvertical parallel lines are equal. This is one of the properties of parallel lines.

B. The statement is true. If two distinct nonvertical lines are parallel, then they have the same slope. Parallel lines have the same steepness or rate of change.

C. The statement is true. Given two distinct lines in the Cartesian plane, the two lines will either intersect at a point or they will be parallel and never intersect. These are the two possible scenarios for distinct lines in the Cartesian plane.

D. The statement is NOT true. Given any two distinct lines in the Cartesian plane, they may or may not be parallel or perpendicular. It is possible for two distinct lines to have neither parallel nor perpendicular relationship. For example, two lines that have different slopes and do not intersect or two lines that intersect but are not perpendicular to each other.

Therefore, the statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is the one that is NOT true.

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Answer:

9/20 or 45%

Step-by-step explanation:

Each random number has four digits, representing four students. We want to count how many have a 4 or a 5, which represents students with blue eyes.

Of the 20 random numbers, 9 have at least one 4 or 5.

2546, 6075, 7359, 5621, 1430, 6147, 5978, 9436, 5971

So the experimental probability is 9/20, or 45%.

Deidra's speed is 6 mph.

To calculate Deidra's speed in miles per hour (mph), we need to divide the distance she ran by the time it took her to run that distance.

Given:

Distance = 3 miles

Time = 0.5 hour

Speed (mph) = Distance / Time

Substituting the given values:

Speed (mph) = 3 miles / 0.5 hour

To divide by a fraction, we can multiply by its reciprocal. So, we can rewrite the expression as:

Speed (mph) = 3 miles × (1 hour / 0.5 hour)

Simplifying further:

Speed (mph) = 3 miles × (2 / 1)

Speed (mph) = 3 miles × 2

Speed (mph) = 6 miles per hour

Therefore, Deidra's speed is 6 mph.

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Answer:

10000 greater

Step-by-step explanation:

2 on the left = 2000 dollars

2 on the right = 0.20 dollars

2000 ÷ 0.2 = 10000

Answer:

C)Gustavo used a simulation where the data is qualitative.

Step-by-step explanation:

I took the test

The statement which tells about Gustov's data collection is gvien by: Option D: Gustavo used a simulation where the data is quantitative.

Qualitative data tells about the quality or characteristic. It is tough to express it numerically or not at all expressible numerically. They are usually catagorical.

In contrast, there is quantitative data which can be expressed numerically.

Simulation is imitation or analogous recreation of something.

Here, the situation of the contest was simulated by the spinner.

Gustov collects data to get liklihood of winnig a certain prize. The data he will collect is the frequency(assuming he works with the frequencies) (the number of times a specific prize occurs in his experiment) of all those 4 prizes.

Frequency is a numerical value, therefore a quantitative data.

Thus, the statement which tells about Gustov's data collection is gvien by: Option D: Gustavo used a simulation where the data is quantitative.

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To calculate the overall speedup of a system that spends 55% of its time on I/O with a disk upgrade that provides for 50% greater throughput, we need to determine the impact of the upgrade on the overall system time.

If the system spends 55% of its time on I/O, then the remaining 45% of the time is spent on other tasks. With a disk upgrade that provides for 50% greater throughput, the I/O time can be reduced by 50% of its original value.

To calculate the overall speedup, we need to consider the weighted impact of the improvement. Since the I/O time contributes 55% to the overall system time, the speedup of that portion will have a 55% weight in the overall speedup calculation.

The overall speedup can be calculated as follows:

Overall Speedup = 100% - (55% * 50%) = 100% - 27.5% = 72.5%

Therefore, the overall speedup of the system with the disk upgrade is 72.5, expressed as an integer value without the percentage sign.

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P(X < 4) = 0.8059

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

In this problem we have that:

In which

P(X < 4) = 0.8059

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The length of the other base is 4 meters.

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as 1/2 x the sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

The area of a trapezoid.

A = (1/2) h (b1 + b2)

where A is the area, h is the height, b1, and b2 are the lengths of the two bases.

We are given,

h = 8, b1 = 12, and A = 64.

We can substitute these values into the formula and solve for b2:

64 = (1/2)(8)(12 + b2)

Simplifying:

64 = 4(12 + b2)

16 = 12 + b2

b2 = 4

Therefore,

The length of the other base is 4 meters.

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Answer:

x= -3 / 8

Step-by-step explanation:

5x+7+3x-4=0

Sum 5x and 3x

8x+7-4=0

Subtract 7-4

8x+3=0

Move the constant to the other side and change his symbol with his opposite

8x=-3

8 is multiplying x, the opposite of multiplying is dividing, so it divide the -3 (under it)

x= -3 / 8

Answer:-18

Step-by-step explanation: -4 really means minus 4. Get rid of the plus sign in front of it

According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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The vector z is (7/4, -5/4, -1/4).

To find the vector z, we need to isolate it in the given equation. First, we rearrange the equation to get:

4z = w + 2u

Then, we can substitute the given values for w and u:

4z = 5, -1, -5 + 2(-1, 2, 3)

Simplifying this gives:

4z = 7, -5, -1

Finally, we can solve for z by dividing both sides by 4:

z = 7/4, -5/4, -1/4


In summary, to find the vector z, we rearranged the given equation and substituted the values for w and u. We then solved for z by dividing both sides by 4. The resulting vector is (7/4, -5/4, -1/4).

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Answer:

13.20 or 1.5%.

Step-by-step explanation:

Since Emily borrowed 880, you need to subtract 893.20 from 880. That equals 13.20. The percentage of interest is 1.5 because 6 months is half of a year and the annual interest rate is 3 percent.

Answer:

BODMAS

Step-by-step explanation:

BODMAS is correct.

Brackets

Of

Division

Multiplication

Addition

Subtraction

The ship captain should be turned 129.49 so it's heading straight for Island B.

Given Island A is 160 miles from Island B and the captain of a ship travels 170 miles from Island A and then discovers that he is off course and 200 miles from island B.

So we gave it

a = 200 feet

b = 170 feet

c = 160 feet

We need to find angle C which goes directly to island B.

We apply the "cosine law":

\(\begin{aligned}\cos C&=\frac{a^2+b^2-c^2}{2ab}\\ &=\frac{(200)^2+(170)^2-(160)^2}{2\times 200\times 170}\\ &=\frac{40000+28900-25600}{68000}\\ &=\frac{43300}{68000}\\ &=0.636\end\)

Now we multiply both sides by cos⁻¹, we get

cos⁻¹(cos C)= cos⁻¹(0.636)

C = 50.51

The interior angle is 50.51°

We need to find the outer angle to find the bearing the captain needs to turn

Applying the additional angle ruler:

The outside angle = 180 - 50.51 = 129.49°

Therefore, he must turn so as to head directly for Island B, where Island A is 160 miles from Island B and the captain is sailing 170 miles.

from Island A and then discovers that it is off-road and 200 miles away

Island B is 129.49.

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The probability that the mean annual precipitation of a sample of 49 randomly picked years will be less than 92.8 inches is, 0.9192

What is standard deviation?

The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.

Given: The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 90 inches, and a standard deviation of 14 inches.

z score is given by,

z = (x - μ)/(σ/√n) = (92.8 - 90)/(14/√49) = 2.8/2 = 1.4

The  required probability is,

p(z < 1.4) = 0.9192, by standard normal table.

Hence, the  probability that the mean annual precipitation of a sample of 49 randomly picked years will be less than 92.8 inches is,  0.9192.

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The correct comparison is C. -2 > -7. the inequality of the -2 is greater then -7.

Inequality refers to the state of being unequal or not equal in some respect. It can refer to various forms of disparities or differences, such as differences in income, wealth, education, opportunities, health, or social status, among others. Inequality can occur between individuals, groups, communities, or nations, and it can be caused by various factors, such as discrimination, historical legacies, social structures, policies, or economic systems. Inequality is often considered a social problem because it can lead to social tension, unrest, and injustice, as well as undermine economic growth and human development.

Option A (-9 > 4) is incorrect because -9 is a smaller value than 4, so it is false.

Option B (-6 > -5) is also incorrect because -6 is a smaller value than -5, so it is false.

Option D (7 < 3) is incorrect because 7 is a larger value than 3, so it is false.

Therefore, option C (-2 > -7) is the correct comparison because -2 is a larger value than -7, so it is true.

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It should be A: 1 ounce of hamburger patty has approximately 3/17 grams of protein and 1 ounce of fish has 3/16 grams of protein.

Answer:

About 7.07% of the visitors bought a gift.

Step-by-step explanation:

7/99 = 0.0707

0.0707 *100 = 7.07%

then:

About 7.07% of the visitors bought a gift.