whats 1 +1=
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The solid that results as a product of a triangle's rotation on the axis would be:

D). Triangular Prism

A triangular prism is characterized as a prism that possesses three sides having a base that is in a triangle shape and the sides being rectangular.

Its volume is denoted by 1/2 × b × h × l and the area as length × (a + b + c).

If a right triangle would be rotated on its axis, it will appear like a triangular prism that has a base in the triangle's shape and the rest of the sides being in the shape of a rectangle.

Thus, option D is the correct answer.

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The elasticity of substitution measures the substitutability between inputs or goods and is calculated based on the ratio of prices or consumption and the marginal rate of substitution.

The elasticity of substitution is a concept used in economics to measure the degree to which one input can be substituted for another in the production process or consumption choices. It quantifies the responsiveness of the relative changes in the ratio of inputs to the relative changes in their marginal rates of substitution. The elasticity of substitution helps economists understand the flexibility of producers or consumers in adjusting their input or consumption mix in response to changes in relative prices or preferences.

The elasticity of substitution (σ) is calculated using the following formula:

σ = (d ln(α₁/α₂))/(d ln(MRS₁₂))

Where:

α₁/α₂ represents the ratio of input prices or consumption prices.

MRS₁₂ represents the marginal rate of substitution between the two inputs or goods.

The interpretation of the elasticity of substitution depends on its value.

1. If the elasticity of substitution (σ) is greater than 1, it implies a high degree of substitutability between inputs or goods. In other words, producers or consumers can easily adjust their mix of inputs or consumption choices in response to changes in relative prices or preferences. A higher σ indicates a more elastic substitution pattern.

2. If the elasticity of substitution (σ) is equal to 1, it implies a constant elasticity of substitution. This suggests a linear relationship between inputs or goods, where the proportionate change in one input or good is equal to the proportionate change in the other input or good.

3. If the elasticity of substitution (σ) is less than 1, it implies a low degree of substitutability between inputs or goods. In this case, producers or consumers face constraints in adjusting their input or consumption mix. A lower σ indicates a less elastic substitution pattern.

Understanding the elasticity of substitution is crucial for various economic analyses. For instance, in production, a higher elasticity of substitution implies that firms can more easily adjust their production techniques by substituting one input for another. This has implications for cost minimization and efficiency. In consumption, the elasticity of substitution helps explain how consumers respond to changes in prices or preferences by adjusting their consumption mix.

In summary, the elasticity of substitution measures the substitutability between inputs or goods and is calculated based on the ratio of prices or consumption and the marginal rate of substitution. Its interpretation depends on its value, with values greater than 1 indicating high substitutability, equal to 1 indicating constant elasticity, and less than 1 indicating low substitutability. The elasticity of substitution provides insights into production decisions, cost minimization, and consumption choices.

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Therefore, the net cash provided or used by operating activities is $115,000.

Starting with the net income of $127,000, we add back the depreciation expense of $36,500 since it is a non-cash expense. We also subtract the gain on sale of plant assets of $10,500 since it is a non-operating gain. These adjustments result in an adjusted net income of $153,000 ($127,000 + $36,500 - $10,500).

Next, we consider the changes in current assets and liabilities. Since accounts receivable decreased by $10,700, we add this amount to the adjusted net income. Merchandise inventory increased by $24,500, so we subtract this amount. Prepaid expenses increased by $7,500, so we subtract this amount as well. Lastly, accounts payable increased by $4,700, so we add this amount.

Calculating the net cash provided or used by operating activities:

Adjusted net income + Changes in current assets and liabilities

$153,000 + (-$10,700) + (-$24,500) + (-$7,500) + $4,700 = $115,000

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The range of the function  g(x) = |x + 2|– 1 is (-1,∞) and domain of the function is (-∞,∞).

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

For example f(x) = x²

Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.

Given the function  g(x) = |x + 2|– 1

The minimum value of the function

At x = -2 ⇒ |-2+ 2|– 1 = -1

The maximum value of the function

At x = ∞ ⇒ |∞+ 2|– 1 = ∞

So,

The range will be (-1, ∞)

Now,

We can put x as -∞ and ∞ so the domain will be (-∞,∞).

Hence "The range of the function  g(x) = |x + 2|– 1 is (-1,∞) and domain of the function is (-∞,∞)".

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Answer:

certain

Step-by-step explanation:

Jai rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase describes the probability that he will roll a number between 1 and 6 (including 1 and 6)?

There are 6 possible outcomes for rolling a die numbered from 1 to 6: {1, 2, 3, 4, 5, 6}.

Within that set of outcomes, there are 6 possible ways of rolling a number between 1 and 6 (including 1 and 6): {1, 2, 3, 4, 5, 6}.

6 out of 6 is 1. When something will occur all the time, we say it is certain.

The area of right triangle QRS will be;

⇒ The area of triangle = 20

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In ΔQRS;

Base = x

Height = 2x

Hypotenuse = 10

Now,

Since, The triangle is a right triangle.

Hence, The triangle QRS satisfy the condition of Pythagoras theorem.

So, We get;

⇒ Hypotenuse² = Base² + Height²

⇒ 10² = x² + (2x)²

⇒ 100 = x² + 4x²

⇒ 100 = 5x²

⇒ x² = 20

⇒ x = √20

So, The Height of triangle = 2√20

And, The Base of the triangle = √20

We know that;

⇒ The area of triangle = 1/2 × Height × Base

⇒ The area of triangle = 1/2 × 2√20 × √20

⇒ The area of triangle = 20

Thus, The area of right triangle QRS = 20

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In 5040 different ways, 7 runners can places 1 through 4 be determined if in a race there are 7 runners. trophies for the race are awarded to the runners finishing in places 1 through 4.

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations. Combinations exist when the order doesn't matter, but permutations exist when it does. A permutation could be described as an ordered combination. The following formula determines how many permutations of n objects, taken r at a time: P(n,r)=n!

Given,

Ways 7 runners can places 1 through 4 be determined:

By using permutation:

7!

7 ×6 × 5 ×4×3×2×1

5040

In 5040 different ways, 7 runners can places 1 through 4 be determined if in a race there are 7 runners. trophies for the race are awarded to the runners finishing in places 1 through 4.

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-3×2d=12

-6d=12

d=12÷(-6)

Hope this helps.

Answer:

12

Step-by-step explanation:

7x +21 =105

7x =105 - 21

7x =84

x=84 :7

x=12

Based on the definition of congruent triangles, m<X = 45 degrees.

Congruent triangles are two triangles that have exactly the same size and shape, which connotes that every corresponding parts of the triangles are equal.

Given EFG = XYZ, therefore, the measure of angle E will be congruent to the measure of angle X.

m<E = m<X

m<E = 180 - 90 - 60

m<E = 30°

Therefore, m<X = 30°.

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The value of both domain and range of this exponential function is (−∞,∞).

y = 2x-9

The domain of the function can be defined as all real numbers except the ones where the expression is undefined. In the case of 2x-9, there is no real number for which this expression is undefined. Therefore, a domain of this exponential function is (−∞,∞).

The range of the function is defined as the set of all valid y values. In this case, all real numbers are valid values of y. Therefore, the range of this exponential function is (−∞,∞).

Therefore, domain of y = 2x-9 is (−∞,∞) and range is also (−∞,∞).

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There are 41 ways to distribute five distinguishable objects into three indistinguishable boxes.

The boxes are indistinguishable, there are 5 different ways to arrange the number of balls in each box: (5,0,0), (4,1,0), (3,2,0), (3,1,1), or (2,2,1).

There is 1 way to put all 5 balls in one box i.e (5,0,0)

(4,1,0): There are 5 choices for the 4 balls in one of the boxes.

(3,2,0): There are 10 choices for the 3 balls in the boxes.

(3,1,1): There are 10 choices for the 3 balls in one of the boxes, and we can simply split the last two among the other indistinguishable boxes.

(2,2,1): There are 10 options for one of the boxes with two balls, then 3 options for the second box with two balls, and one for remaining for the third.

Therefore the boxes with two balls are indistinguishable, we are counting each pair of balls twice so we have to divide by two.

So there are (10×3)/2=15 arrangements of balls as (2,2,1).

Hence the total number of arrangements for 3 indistinguishable boxes and 5 distinguishable balls is 1+5+10+10+15=41.

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Answer:

3,675 people

Step-by-step explanation:

First row, a = 20

Common difference, d = 5

number of terms, n = 35

Sn = n/2 {2a + (n - 1)d}

= 35/2 {2*20 + (35 - 1)5}

= 35/2 {40 + ( 34)5}

= 17.5(40 + 170)

= 17.5(210)

= 3,675 people

The answer is actually 3675.

My reasoning: Plug it in and you shall see!

Answer:

For the first page 2nd line they did 88846 squared instead of cubed.

The correct answer is 935,087,000,000,000.

Step-by-step explanation:

Answer:

The answer would be  x*21/4 (this is all in a fraction)

Step-by-step explanation:

7x3/4 = 21/4 (radical form)

As a result, the width of the confidence interval will rise as the sample size is reduced.

An area created using fixed-size samples of data from a population (sample space) that follows a particular probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability.

Given,

What causes a confidence interval's width to grow?

The confidence interval widens as the confidence level does. The only option to get more accurate population estimates, assuming the confidence level is fixed, is to reduce sampling error. The standard error statistic assesses sampling error.

When sample size is reduced, what happens to the width of the confidence interval?

As a result, the width of the confidence interval will rise as the sample size is reduced.

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Answer:

360 grams

Step-by-step explanation:

120 x 3 = 360

the radius of convergence is 1. The power series converges for values of x within a distance of 1 from the center of the series (which is typically x = 0).

To find the radius of convergence of a power series, we can use the ratio test. Given the coefficients of the power series as 3, 0, 3, 0, 3, the general form of the power series can be written as:

f(x) = 3x^0 + 0x^1 + 3x^2 + 0x^3 + 3x^4 + ...

In the ratio test, we examine the limit of the absolute value of the ratio of consecutive terms:

lim |a(n+1)/a(n)| as n approaches infinity,

where a(n) represents the nth term of the power series.

Let's apply the ratio test to the given power series:

|a(n+1)/a(n)| = |3x^(n+1)/3x^n| = |x|.

Now, we need to determine the values of x for which the limit |x| as n approaches infinity is less than 1 for the power series to converge.

If |x| < 1, then the power series converges. If |x| > 1, the power series diverges.

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Answer:

  x = 10°

Step-by-step explanation:

Given the figure with angles 2x, 4x, 5x, and 50° marked, you want to find the value of x.

∠HAC = ∠HCA . . . . base angles of isosceles triangle HAC

2(∠HAC) = 4x . . . . . exterior angle 4x is equal to the sum of the equal remote interior angles HAC and HCA

∠HAC = 2x . . . . . . . divide by 2

∠AED = 180° -2x -2x = 180° -4x . . . . sum of angles in ∆AED is 180°

∠AHC = 180° -4x . . . . angles at H are a linear pair

HC ║ ED . . . . converse of corresponding angles theorem

∠FEG = ∠FCH = 50° . . . . . corresponding angles theorem

5x = 50° . . . . . substitute value of ∠FEG

x = 10° . . . . . divide by 5

Using this value for the marked angles, we get the measures shown in the attachment.

Step-by-step explanation:

angle marked on diagram = 180 - 75 = 105° (supplementary angles)

x = 105° (alternate angles are equal)

2. Using proportion, the value of x = 38, the length of FC = 36 in.

3. Applying the angle bisection theorem, the value of x = 13. The length of CD = 39 cm.

The Angle Bisector Theorem states that in a triangle, an angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides of the triangle.

2. The proportion we would set up to find x is:

(x - 2) / 4 = 27 / 3

Solve for x:

3 * (x - 2) = 4 * 27

3x - 6 = 108

3x = 108 + 6

Simplifying:

3x = 114

x = 114 / 3

x = 38

Length of FC = x - 2 = 38 - 2

FC = 36 in.

3. The proportion we would set up to find x based on the angle bisector theorem is:

13 / 3x = 7 / (2x - 5)

Cross multiply:

13 * (2x - 5) = 7 * 3x

26x - 65 = 21x

26x - 21x - 65 = 0

5x - 65 = 0

5x = 65

x = 65 / 5

x = 13

Length of CD = 3x = 3(13)

CD = 39 cm

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A. The waiter earns $25 an hour

The length of one edge of the tabletop is 4.89 feet.

We know that square is a shape that has all the side equal. Based on this using the formula to find the length of edge of the tabletop.

The area of square table is given by the formula -

Area of square table = side²

We will keep the value of area of square table to find the value of side which will be length of edge

24 = side²

Side = ✓24

Taking square root for the value on right side of the equation

Side = 4.89

Hence, the length of one edge of the tabletop is 4.89 feet.

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Answer:

#2

63 questions correctly

Step-by-step explanation:

I hope this helps

15 questions 8 incorrect

15/8= 1.875

135/1.875= 72 incorrectly

135 questions- 72incorrectly= 63correct questions

The term that refers to the strength of association between variables is b) effect size. Effect size is a quantitative measure that describes the magnitude of the relationship between two or more variables. It is particularly useful in comparing the results of different studies or experiments, as it provides a standardized measure of the strength of the association, regardless of the specific context or sample size.

In contrast, a) statistical index is a broader term that refers to any statistic used to measure a particular characteristic or attribute, such as the mean or median. c) Standard deviation is a measure of the dispersion or spread of data points around the mean, and while it may provide some context for the strength of the relationship, it does not directly measure the association between variables. d) Linear degree refers to the degree of a linear equation, which is unrelated to the strength of association between variables.

In summary, effect size is the most appropriate term to describe the strength of association between variables, as it provides a standardized measure of the magnitude of the relationship that can be used to compare different studies or experiments. It is an important concept in research and data analysis, as it allows researchers to understand the practical significance of their findings and make informed decisions about their work.

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(a) There are 81 possible answer sequences for the four questions.

(b) The probability of getting all four answers correct when guessing is approximately 0.01235 when rounded to five decimal places.

(c) The probability of answering at least one question correctly when guessing is approximately 0.51775 when rounded to five decimal places.

(a) Since there are three possible answers for each of the four questions, there are a total of 3^4 = 81 possible answer sequences for the four questions.

(b) If you are guessing on each question, the probability of getting one question correct is 1/3. Since there are four questions, the probability of getting all four correct is (1/3)^4 = 1/81, which is approximately 0.01235 when rounded to five decimal places.

(c) The probability of not getting any question correct is (2/3)^4, since there are two incorrect answers for each question and we are guessing on all four questions. Therefore, the probability of getting at least one question correct is 1 - (2/3)^4, which is approximately 0.51775 when rounded to five decimal places.

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