Scientists from different fields are trying to understand how the global climate is reacting to the changes caused in nature, and by human activities. They have come up with conflicting interpretations. Which of these is the most likely outcome of differences in interpretations made by scientists on the issue of global climate? All old ideas would be discarded. Scientific evidence would be weakened. Scientists would look for new evidence. The limitations of science would be evident.

Answer:

Step-by-step explanation:

its a

the 12th term of the geometric sequence will be 97656250.

What is geometric sequence?

The sequence where each word is varied by another by a common ratio is known as a geometric progression or geometric sequence. When we add a constant (which is not zero) to the term before it, the sequence's subsequent term is created. The following symbols stand in for it: a, ar, ar2, ar3, ar4, etc.

Geometric Progression (GP), a form of sequence in mathematics, is a series in which each subsequent term is created by multiplying each preceding term by a set integer, known as a common ratio. A geometric sequence of integers that follows a pattern is another name for this development.

The terms are given 2,10,50...

a = 2

r = 10/2 = 5

The 12th term will be= 2*(5)\()^{11}\) = 2 * 48828125= 97656250

Hence, the 12th term of the geometric sequence will be 97656250.

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Jose will need 40.82 in² of paper to cover the stack of coins

The area in this scenario will be:

A = 2πr² + 2πrh

Where r and h represent the radius of the coins and the height of the coin stack respectively

Given: diameter of coin = 1 inch and thickness = 1/8 inch

radius(r) = diameter/2 = 1/2 inch

Substituting values gives:

A = 2×3.14 × (1/2)² + 2×3.14 ×(1/2)×(100 ×(1/8))

A = 40.82 in²

Note: the correct thickness of the coins should be 1/8 in

Therefore, the area of paper Jose will need to cover the stack of coins is 40.82 in²

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Answer:

7.3degrees

Step-by-step explanation:

60 -38=22°

3hrs=22°

1hr=?

1×22=22÷3=7.3°

The percent error in the experimental value of g is option (d) 2.04%. This means that the experimental value of g deviates from the accepted value by 2.04%.

To calculate the percent error, we need to compare the experimental value of g with the accepted value.

Let's assume the experimental value of g is ge and the accepted value is ga.

The formula for percent error is:

Percent Error = |(ge - ga) / ga| * 100

Substituting the given values:

Percent Error = |(ge - 9.8) / 9.8| * 100

We are given that the accepted value of g is 9.8 m/s^2.

Suppose the experimental value of g is 9.6 m/s^2.

Percent Error = |(9.6 - 9.8) / 9.8| * 100

Percent Error = |-0.2 / 9.8| * 100

Percent Error = 0.0204 * 100

Percent Error = 2.04%

The correct option from the given choices would be (d) 4%, which is the closest value to the calculated percent error.

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Based on the given information, we know that the 95% confidence interval for the population mean falls between $5938.42 and $6546.32.

This means that if we were to repeat the sampling process many times and construct a confidence interval each time, about 95% of those intervals would contain the true population mean.

As for the hypothesis test with the null hypothesis (which is not specified in the question), we do not have enough information to determine the p-value. The confidence interval and hypothesis test are two different methods of statistical inference, and while they are related, they provide different types of information.

In order to determine the p-value for the hypothesis test, we would need to know the null hypothesis, the sample size, the sample mean, the standard deviation (or a good estimate of it), and the level of significance (alpha). With this information, we could calculate the test statistic and then use a t-distribution or z-distribution (depending on the sample size and whether the standard deviation is known) to find the p-value.

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Answer: 12.70x3.5= 44.5 every hour.. 44.5x3.5=155.75 dollars a hour.

Step-by-step explanation:

Answer:

$44.45 is what she would earn.

Step-by-step explanation:

Multiply the two numbers together. Batta bing batta boom.

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

Yes you are correct :)

Step-by-step explanation:

Used a graphing calculator

The coefficient of x² in 2 x² x³ is 2 n with number.

2 x² x³

= 2 x² (x³)

= 2 x² (x  x  x)

= 2 x² x  x  x

The coefficient of x² is 2.The expression 2 x² x³ can be written as 2 x² (x³). This can be further simplified to 2 x² (x  x  x). The coefficient of x² is 2, which means that the coefficient of x² in 2 x² x³ is 2. The coefficient of a term is the numerical factor of the term, or the number that is multiplied with the term. In this case, the coefficient of x² is 2, as it is the number multiplied with x².

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Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.

Exponents of polynomials are whole numbers.

Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.

If an operation results in the production of another polynomial, the resulting polynomials will be closed.

The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.

The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.

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The $25 represent the constant for the equation y=25+5h where she lawns for $25 each lawn, plus $5 for every hour she spends mowing.

A constant is a value or number that is consistently the same regardless of how it is expressed. For instance, in the a forementioned figure, when its face value is 36 and 82 respectively, 36 and 82 remain constant. Its worth remains constant. A constant in mathematics is a particular number or symbol that has been given a stable value. In other words, a constant is an expression-unchanging value or integer. It always has the same value.

Here,

The $25 serves as the constant in the equation y=25+5h, where she charges $25 for each lawn she mows and an additional $5 per hour.

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Any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

Within 2 standard deviations of the mean refers to the range that includes data points within two units of standard deviation from the mean. In this case, the mean is 180 and the standard deviation is 35.

To find the range within 2 standard deviations of the mean, we need to calculate the upper and lower bounds.

The upper bound can be found by adding 2 standard deviations (2 * 35 = 70) to the mean: 180 + 70 = 250.

The lower bound can be found by subtracting 2 standard deviations (2 * 35 = 70) from the mean: 180 - 70 = 110.

Therefore, any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

It's important to note that this answer is specific to the given mean and standard deviation. If the mean and standard deviation were different, the range within 2 standard deviations would also be different.

Always calculate the upper and lower bounds based on the provided mean and standard deviation to determine the range within 2 standard deviations accurately.

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Answer:

Liz is correct

Step-by-step explanation:

Given

See attachment for complete question

Required

Who is correct? Daniel or Liz

From the attached data, we have:

\(Time: 1\frac{3}{4},\ 2\frac{1}{2},\ 2,\ 2\frac{3}{4},\ 1,\ 1\frac{3}{4},\ 1\frac{1}{4},\ 3,3\frac{1}{4},\ 3\frac{3}{4},\ 2,\ 2\)

The total number of students is:

\(n = 12\)

The data that represents  \(2\frac{1}{2}\) or more is:

\(Time: 2\frac{1}{2},\ 2\frac{3}{4},\ 3,3\frac{1}{4},\ 3\frac{3}{4}\)

The frequency of this is 5

The frequency that represents \(2\frac{1}{2}\) or less will be 7

This means that less than half spend \(2\frac{1}{2}\) or more

and more than half spend \(2\frac{1}{2}\) or more

Hence, Daniel is incorrect. Liz is correct

The right angles are congruent, it means that all right angles have the same measure. In Euclidean geometry, a right angle is defined as an angle that measures exactly 90 degrees.

Therefore, regardless of the size or orientation of a right angle, all right angles are congruent to each other because they all have the same measure of 90 degrees.

Based on the given information, the conclusion that ∠1 ≅ ∠2 is valid. This is because the given information states that ∠1 and ∠2 are right angles, and right angles are congruent.

Therefore, ∠1 and ∠2 have the same measure, making them congruent to each other. The conclusion is consistent with the given information, so it is valid.

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After solving the given expression that is 11 feet 7 inches plus 14 feet 6 inches plus 35.5 inches plus 30 inches plus 6 feet 10 inches is 460.5.

Given that,

We have to find what is 11 feet 7 inches plus 14 feet 6 inches plus 35.5 inches plus 30 inches plus 6 feet 10 inches.

We know that,

1 feet is equal to 12 inches.

So,

We can write as

11 feet 7 inches plus 14 feet 6 inches plus 35.5 inches plus 30 inches plus 6 feet 10 inches.

11f 7in+ 14f 6in +35.5in+ 30in + 6f 10in

11(12)+7in+14(12)+6+35.5+30+6(12)+10

132+7+168+6+35.5+30+72+10

460.5

Therefore, After solving the given expression that is 11 feet 7 inches plus 14 feet 6 inches plus 35.5 inches plus 30 inches plus 6 feet 10 inches is 460.5.

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Answer: It's the second answer. Subtract 22 from 50, then divide the result by 3.

Step-by-step explanation: 3x+22= 50. You need to subtract 22 to both sides which will become 3x=28. Then you need to divide each side by 3, and the answer is 9.3 (With 3 repeating).

Answer

300

Step-by-step explanation:

multiply by each other

The matrix [Qr₁...Qrp] is the result of transforming each vector in R through the matrix Q.

A matrix is a collection of numbers arranged in rows and columns, with each element representing a specific value.

In this explanation, we will look at the relationship between a matrix Q and a set of vectors r₁,..., rp in Rⁿ, and how they can be combined to form a new matrix [Qr1...Qrp].

The matrix [Qr₁...Qrp] can be written as the product of two matrices: QR, where R is defined as [r₁...rp].

This means that when the matrix Q is multiplied by the matrix R, we get the matrix [Qr₁...Qrp].

The reason for this is that multiplying a matrix by another matrix is simply a way of transforming each vector in the original matrix.

In this case, Q transforms each vector r₁,..., rp in R to produce the new set of vectors [Qr₁...Qrp].

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The probability of selecting all 4 traditional students from the remedial program is 0.0435 or 4.35%.

The probability of selecting all 4 traditional students from a remedial program that evenly enrolls traditional and non-traditional students can be calculated using the hypergeometric probability distribution formula.

Let's assume that there are 20 students in the remedial program, out of which 10 are traditional students and 10 are non-traditional students.

The probability of selecting all 4 traditional students can be calculated as follows:

P(X = 4) = (C(10,4) * C(10,0)) / C(20,4)

Where C(n,r) is the combination function that gives the number of ways to choose r items from a set of n items.

Simplifying the above equation, we get:

P(X = 4) = (210 * 1) / 4845

P(X = 4) = 0.0435

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Answer:

No.

Step-by-step explanation:

First, we need to firgure out what 1/4 of 18 is (4.5). Then, multiply 4.5*22 to see the gallons left by the average traveled each gallon (99). Clearly, 99 is not equal to or greater than 110.

Draw from (3, -1.5) to (-2, 6)

The probability that the artist chosen will be a painter or a photographer is 3/4

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

To solve this exercise the formula and the procedure that we have to use for probability is:

probability= (achieving success / possible outcomes)

Achieving success = 7 painters + 5 photographer = 12

Possible outcomes = 7 painters + 5 photographer + 4 sculptors = 16

Applying the formula to calculate the probability we get:

probability= (achieving success / possible outcomes)

probability= 12/16

Simplifying:

probability= 3/4

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(A) The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R'  is 1/2

(B) Coordinates of Δ P"Q"R"

P" (-4,0)

Q"(-3,1)

R"(1,-2)

(C) Triangles PQR and P"Q"R" are not congruent.

Given

ΔPQR is transformed into ΔP'Q'R'

Coordinates of P, Q, R are

P (8,0),

Q(6,2)

R(-2,-4)

Coordinates of P'Q'R' are

P′(4, 0)

Q′(3, 1)

R′(−1, −2)

(A) By Distance formula we can find the distance between P Q and P'Q'

Distance formula = \(D = \sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

Where D = Distance between two points

from distance formula we can write that

PQ = \(\sqrt{(6-8)^{2} +(2-0)^{2} } = \sqrt{4+4} =2 \sqrt{2}\)

Similarly

P'Q'= √2

PQ /P'Q' = 2

hence the scale factor of dilation is 1/2 (Compression)

(B )The Coordinates of Reflection about y axis can be written for a point

(x,y) as (-x,y)

So the Coordinated of Δ P"Q"R" can be written as

P" (-4,0)

Q"(-3,1)

R"(1,-2)

(C) ΔPQR  and ΔP"Q"R" are similar triangles but they are not  congruent because their sides  are not equal in size.

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Answer:

\(\Large \boxed{\mathrm{Option \ D}}\)

Step-by-step explanation:

(6, 4)

x = 6 and y = 4

y > -1/2x + 7

Plug in the values to check if it is true.

4 > -1/2(6) + 7

4 > -3 + 7

4 > 4

This statement is false.

(6, 4) lies on the line.

Answer:

\(\frac{43}{2}\) or 21.5

Step-by-step explanation:

8(x - 16) = 44

8x - 128 = 44

    + 128 + 128

8x = 172

/8  /8

x = \(\frac{43}{2}\) = 21.5

To check:

8(x - 16) = 44

8(21.5 - 16) = 44

172 - 128 = 44

    44   =  44

This is a true statement, which makes our answer true.

Hope that helps!

Answer:

21.74 But if it tells you to round I would round to 21 lbs

Step-by-step explanation:

its basically just a ratio of 92 to 20

92/20=4.6

92-20=72% the amount that is lost

so given that the plum is 100 lbs we know that 72% is depleted

(72/92 = .78)X100= 78 lbs depleted

Lastly 100-78 =22 for the remaining weight of the prunes.

Answer:

2 days

Step-by-step explanation:

12 - 4 = 8

8/3 = 2.7

The most effective chunking of the digit sequence 14929111776 would depend on the purpose of chunking.

However, a possible effective chunking could be 14-92-91-11-77-6, which groups the digits into pairs or triplets based on their similarity or pattern. Another possible chunking could be 1492-911-1776, which separates the digits based on significant historical events. Ultimately, the effectiveness of chunking would depend on the context and intended use of the sequence. The most effective chunking of the digit sequence 14929111776 would be to group the numbers into smaller, manageable chunks. One possible way to chunk the sequence is: 149-29-11-17-76. This breaks the sequence into five groups, making it easier to remember and process.

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Answer:

0.46 feet

Step-by-step explanation:

Length = 5/6 feet (or 0.254 m)

Width = 3/8 feet (or 0.114 m)

(5/6 - 3/8) feet = 11/24 feet or 0.46 feet (0.140 m)