Which of these numbers is the greatest?

0.29
0.27
0.21
0.28

Answer:

-5.6

Step-by-step explanation:

Given parameters:

 Temperature at Alto  = -3.8°C

Unknown:

The wind chill temperature  = ?

Solution:

Due to the windchill, temperature in Alto feels colder at -3.8.

We can infer that usually, the temperature in Alto is not supposed to be up to this value. The windchill reduced the temperature;

 Temperature in Alto = Original temperature + wind chill temperature

Originally, the temperature would be = -3.8 + 5.6 = 1.8

So;

     -3.8 = 1.8 + wind chill temperature

   Wind chill temperature  = -3.8 - 1.8 = -5.6

Answer:

-9.4

Step-by-step explanation:

Answer:fixed cost=10

Independent variable=months paid

Dependent=hours on support

month=x,h=hour,10x+35h=total cost

97.50=10+35h

87.50=35h

h=2.5 hours

Step-by-step explanation:

showed work

Answer:

x=40

Step-by-step explanation:

Area of a triangle = B*H/2

First, you have to find the relationship between the large triangle and the smaller triangle. 72 is three times as much as 24, so to find x, you would have to find the relationship between 120 and x. So, 120/3 = 40.

Answer:

  4444444444444444444

Step-by-step explanation:

BELIEVE ME ON THIS ONE

Answer:

-(x-y)^2 because both x have a power to the two and i'm gonna bet that it's asking for a negative so there you go!

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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Answer:

20 comic books

Step-by-step explanation:

Let us first set up a variable, x, for the number of books that Zoe has. If Jared has 12 more comics than Zoe, he would have x+12 books.

Given that Zoe and Jared have a total of 28 comic books, let us write an equation and solve for x:

\(x+x+12=28\\2x+12=28\)

Now that we have a simplified version of the equation, let us solve for x by isolating the variable on the left side:

\(2x=28-12\\2x=16\\x=8\)

We now know that x=8, and also that Jared has x+12 books. To find the number of comic books Jared has, let us add 12 to x:

\(x+12=\\8+12=\\20\\\)

Therefore, Jared has 20 comic books.

I hope this helps! Please let me know if you have any further questions :)

Approximately 0.0228 or 2.28% of people develop AIDS within 4 years of infection.

To determine the fraction of people who develop AIDS within 4 years of infection, we can use the normal distribution and standard deviation provided.

Given:

Mean (μ) = 8 years

Standard deviation (σ) = 2 years

We want to find the fraction of people who develop AIDS within 4 years of infection, which can be represented as the probability of the variable falling within the range of 0 to 4 years. To calculate this probability, we need to standardize the range using the z-score formula:

z = (x - μ) / σ

where x is the value within the range we are interested in, μ is the mean, and σ is the standard deviation.

In this case, we have:

x = 4 years

μ = 8 years

σ = 2 years

Calculating the z-score:

z = (4 - 8) / 2

= -4 / 2

= -2

Using a standard normal distribution table or a calculator, we can find the corresponding area under the curve for the z-score of -2. This area represents the probability that a randomly selected person develops AIDS within 4 years of infection. From the standard normal distribution table, the area corresponding to -2 is approximately 0.0228.

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Hello!

Answer: An ounce is 28 grams.

Step-by-step explanation: In a quarter ounce, there are 7 grams. Half an ounce weighs 14 grams. There are 3.5 grams in one-eighth of an ounce.

Hope this helps.

Have a great day! :)

~Ray

The expression of the simplified equation 5a = 2a + 15 is a = 3

From the question, we have the following equation

5a = 2a + 15

To start with, we need to subtract 2a from both sides of the equation

This is represented as

5a - 2a = 2a - 2a + 15

Evaluate the like terms on both sides of the equation

This gives

3a = 15

Solving further, we divide both sides by 3

3a/3 = 15/3

Evaluate

a = 5

Hence, the solution is 5

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Answer: C

Step-by-step explanation:

If you look at the picture, you can see that it is decreasing from hour 3 to hour 4.

This means that from 3 < x < 4, it is decreasing.

The measure of angle ZCBD is 90°. Therefore, the correct option is J. 90.

To find the measure of angle ZCBD, we need to examine the given information.

From the figure, we know that angle CDE is 155°.

Since the opposite angles of a rectangle are congruent, angle BCD is also 155°.

In a rectangle, the sum of the interior angles at a vertex is always 90°.

Therefore, angle CBD is 90°.

Hence, the measure of angle ZCBD is 90°.

Therefore, the correct option is J. 90.

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In this case, the standard deviation is 3.7, so the variance is 3.7², or 13.69. This means that the data points in the data set are, on average, 13.69 units away from the mean.

The variance of a data set is a measure of how the data points are distributed around the mean. It is calculated by squaring the standard deviation, which is the average distance of the data points from the mean.

Variance is a useful measure for quantifying the spread and variability of the data points in a data set. By knowing the variance, it is possible to make predictions about how likely it is that a given data point will fall within a certain range from the mean.

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The function of the absolute value is always positive the correct answer would be option (B).

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.  

For example, |5| is 5 because it is 5 units away from 0.  Also, |-5| is also 5 because -5 is 5 units from 0.

We have to determine the statement best describes the function.

We have been given that the graph represents the absolute value parent function.

Since the parent function's graph with an absolute value that is always positive.

Therefore, the graph of the absolute value parent function would be always positive.

Hence, the correct answer would be option (B)

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The gradient of the chord PQ is 2h + 8

Let's first find the coordinates of points P and Q on the curve y = 2x^2+1.

Point P has an abscissa of 2, so its coordinates are (2, 2(2)^2+1) = (2, 9).

Point Q has an abscissa of 2+h, so its coordinates are (2+h, 2(2+h)^2+1) = (2+h, 2(4+4h+h^2)+1) = (2+h, 8+8h+2h^2+1) = (2+h, 2h^2+8h+9).

The gradient of the chord PQ is given by:

(m) = Δy /Δx

(m) = (2h^2+8h+9 - 9) / (2+h - 2)

(m) = (2h^2+8h) / (h)

(m) = 2h + 8

As h approaches zero, the gradient of the chord PQ approaches 8, because the term 2h becomes negligible compared to 8 when h is small. Therefore, the gradient of the tangent to the curve at point P is 8.

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The balance in the account after 3 years will be $6,589.08.

To find the balance in the account after 3 years, we need to use the formula for compound interest: A = P(1 + r/n)^(nt)

Where: A = final balance (amount), P = initial deposit ($4,500), r = annual interest rate (3.9%), n = number of times the interest is compounded per year (monthly = 12), t = number of years (3)

So, the balance in the account after 3 years would be:

= 4,500(1 + (0.039/12))^(12*3)

= 4,500(1.00325)^36

= $6,589.08. Therefore, the balance in the account after 3 years will be $6,589.08.

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We will recommend option C which is Salaried pay. Salaried employees make more per week than hourly employees.

Given that, Salary per year = $78,000.

Hourly employees get paid $26 per hour, but get $39 per hour for each hour over 40 hours.

The total number of working hours from Sunday to Saturday is 47.

The payment for 47 hours of work per week will be given below.

Salary per week = \(40 \times 26 + 7 \times 39\)

Salary per week = $1313

We know that there are 52 weeks in one year. So the salary for one year is given below.

Salary per year = \(1313\times 52\)

Salary per year = $68276

We can see that we calculate the yearly salary with per hour rate, the amount will be lower than the salary per year $78000.

Hence we will recommend option C which is Salaried pay. Salaried employees make more per week than hourly employees.

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Answer:

y > 75

Step-by-step explanation:

Given that:

Starting number of boxes = > 100

Number of boxes sold = 25

Number of boxes left after selling 25

Let the number of boxes left = y

y = starting number of boxes - Numbe rof boxes sold

y = 100 - 25

y = 75

Since the starting number of boxes is more than 100

Then, y should also be more than 75

y > 75

Relying solely on statistics on real GDP during World War II may give a misleading indication of prosperity. It is crucial to consider a broader range of indicators and factors, such as living standards, employment conditions, social well-being, and the overall human experience, to assess the true impact of the war on the economy and society.

Statistics on real GDP during World War II may give a misleading indication of whether it was a period of prosperity because GDP measures the total value of goods and services produced within a country's borders, but it does not capture the full picture of economic well-being and quality of life.

During World War II, the increased production of military goods and services significantly boosted GDP. The war effort led to a surge in government spending, mobilization of resources, and expansion of industries related to defense production. This contributed to a substantial increase in GDP figures, creating the appearance of economic growth and prosperity.

However, it is essential to consider the context and the underlying factors that influenced these GDP numbers. World War II was a time of conflict and immense human suffering. The war resulted in widespread destruction, loss of life, displacement, and significant social and economic disruptions. Resources were redirected towards war production, which often came at the expense of civilian consumption and investment.

Furthermore, GDP does not account for the distribution of wealth and income. While some sectors of the economy thrived during the war, others faced hardships and scarcity. Rationing and resource allocation measures were implemented, which limited the availability of consumer goods for the general population. Additionally, the impact of inflation and wartime price controls can distort the true economic conditions experienced by individuals and households.

Moreover, the human cost of war cannot be captured by GDP alone. The loss of lives, physical and emotional trauma, and long-term social and economic consequences cannot be adequately reflected in GDP figures.

Therefore, relying solely on statistics on real GDP during World War II may give a misleading indication of prosperity. It is crucial to consider a broader range of indicators and factors, such as living standards, employment conditions, social well-being, and the overall human experience, to assess the true impact of the war on the economy and society.

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The angle that is complementary to angle X is 90 degrees minus angle X.

1. Complementary angles are two angles whose sum is 90 degrees.

2. Let's assume that angle X is given.

3. To find the angle that is complementary to angle X, we need to subtract angle X from 90 degrees.

4. The formula to find the complementary angle is: Complementary Angle = 90 degrees - angle X.

5. Substitute the value of angle X into the formula to calculate the complementary angle.

6. For example, if angle X is 45 degrees, the complementary angle would be: 90 degrees - 45 degrees = 45 degrees.

7. Similarly, if angle X is 60 degrees, the complementary angle would be: 90 degrees - 60 degrees = 30 degrees.

8. Therefore, to find the complementary angle to any given angle X, subtract that angle from 90 degrees.

9. The result will be the measure of the angle that is complementary to angle X.

10. Remember that complementary angles always add up to 90 degrees.

11. By using this approach, you can find the complementary angle for any given angle X.

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The value of the mean number of days absent of 5 days produced by the instructor's sample is an example of a statistic.

In statistics, a sample is a subset of a population used to represent the whole group. A statistic is a numerical value that summarizes the characteristics of a sample, such as the mean, median, or standard deviation. The statistic provides information about the sample and is used to make inferences about the population. The mean number of days absent from class during a quarter for all APU statistics students is an example of a population parameter, which is a numerical value that summarizes the characteristics of an entire population. In this case, the sample mean of 5 days can be used to estimate the population mean. The accuracy of this estimation depends on the size and representativeness of the sample.

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The angle if an angle measures 86° less than the measure of its supplementary angle is 133.

Supplementary angles are two angles whose measures add up to 180° .

Supplementary Angles

Let the angle be "x".

Its supplementary angle is "180-x"

Equation:

180 - x - x = 86

180 - 2x = 86

2x = 180 - 86

2x = 94

x = 47

Angle x = 47 degrees

supplementary angle is "180-x"

= 180 -47

= 133

Hence , If an angle is 86° smaller than its supplementary angle, the angle is 133°.

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For any positive real number ( M ), there exists a positive integer ( N ) such that for all ( n > N ), ( n^2 > M ). This proves that the limit of ( n^2 ) as ( n ) goes to infinity is infinity. Hence, the limit of the expression ( (n^2 + 1) - n ) as ( n ) approaches infinity is also infinity.

To find the limit of the expression ( \lim_{n \to \infty} (n^2 + 1) - n), we can simplify the expression and see how it behaves as ( n ) approaches infinity.

( (n^2 + 1) - n ) can be rewritten as ( n^2 - n + 1 ).

As ( n ) approaches infinity, the dominant term in the polynomial is ( n^2 ). The other terms become less significant compared to ( n^2 ).

So, when taking the limit as ( n ) goes to infinity, we can ignore the smaller terms ( -n ) and ( +1 ).

Therefore, the limit becomes: ( \lim_{n \to \infty} n^2 ).

The limit of ( n^2 ) as ( n ) goes to infinity is infinity. This can be proven formally using the definition of a limit:

For any positive real number ( M ), there exists a positive integer ( N ) such that for all ( n > N ), ( n^2 > M ).

Proof:

Let's assume ( M ) is a positive real number.

We need to find a positive integer ( N ) such that for all ( n > N ), ( n^2 > M ).

Let's choose ( N = \lceil \sqrt{M} \rceil ), where ( \lceil \cdot \rceil ) denotes the ceiling function.

Now, consider any ( n > N ).

Since ( N = \lceil \sqrt{M} \rceil ), we have ( N \geq \sqrt{M} ).

Squaring both sides, we get ( N^2 \geq M ).

Since ( n > N ), we also have ( n^2 > N^2 ).

Combining the above inequalities, we have ( n^2 > N^2 \geq M ).

Therefore, for any positive real number ( M ), there exists a positive integer ( N ) such that for all ( n > N ), ( n^2 > M ). This proves that the limit of ( n^2 ) as ( n ) goes to infinity is infinity.

Hence, the limit of the expression ( (n^2 + 1) - n ) as ( n ) approaches infinity is also infinity.

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Answer:

y = 2x + 3

Step-by-step explanation:

The slope

As the y changes by 2, the x changes by 1.  2/1 is 2

The y intercpet is 3.  This what y is when x is 0.

Based on the information given the amount of the retained earning is $2,600,000.

Using this formula

Retained earning=Total assets - Common stock - Liabilities

Where:

Total assets=$8,000,000

Common stock=$4,200,000

Liabilities=$1,200,000

Let plug in the formula

Retained earning=$8,000,000-$4,200,000-$1,200,000

Retained earning=$2,600,000

Inconclusion  the amount of the retained earning is $2,600,000.

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The expected number of flips until getting the first heads is equal to the reciprocal of the probability of getting heads on a single flip, which is 1/p.

The number of independent flips x until the first heads follows a geometric distribution. In general, the probability of getting the first heads on the kth flip is given by \((1-p)^(^k^-^1^)\)p. Thus, the expected value or mean of the geometric distribution is E(x) = 1/p.

This means that on average, we need to flip the coin 1/p times until we get the first heads. For example, if the probability of getting heads is 0.5, then on average we need to flip the coin 2 times until we get the first heads. If the probability of getting heads is 0.1, then on average we need to flip the coin 10 times until we get the first heads.

The geometric distribution is a fundamental concept in probability theory and has many applications in fields such as finance, engineering, and computer science.

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Answer:

Step-by-step explanation:

Answer:

C^2 = 95 ft is the length of the hypotenuse.

Step-by-step explanation:

To get the hypotenuse, apply the Pythagorean theorem.

The formula is a^2+b^2=c^2, where a and b are the leg lenths and c is the length of the hypotenuse. This is referred to as the Pythagorean theorem.

We know what a and b are, so lets utilize the Pythagorean theorem

.

a^2 + b^2 = c^2 - This is the Pythagorean theorem formula.

76^2 + 57^2 = C^2 - Fill in the equation with a= 76 and b = 57^2.

5776 + 3249 = c^2

9025 = c^2 -   C^2  is found by adding A^2 and B^2.

square root of c^2 = square root of 9025 - Take the square root of both sides of the equation.

C = 95 ft  - Simplify

C^2 = 95 ft is the length of the hypotenuse. Brainliest? :D

Answer:

0.24 → -0.24

1/4 → -1/4

0 → 0

-5 → 5

240 → -240

Step-by-step explanation:

Hope this helped! :)

Answer:

The cost of 100 cans of tennis balls is $250

The cost of 120 cans of tennis balls is $300.

The cost of 250 cans of tennis balls is $625

Step-by-step explanation:

0/12 = 2.5 per can

100*2.5 = 250

120*2.5 = 300

250*2.5= 625

Answer:

28cm

Step-by-step explanation:

7cm is each side, 4 sides so 7*4 which is 28cm.