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(a)the body temperature of the 1601 lb man will increase by approximately 3.0 °C.(b)the body temperature of the 160 lb man will increase by approximately 2.4 °C.

The specific heat of a human is given as 3.47 J/°C. Using this information, we can calculate the increase in body temperature when a certain number of calories are converted into heat energy. In the first scenario, a 1601 lb man consumes a candy bar containing 287 Cal. In the second scenario, a 160 lb man consumes a roll of candy containing 41.9 Cal. We will calculate the increase in body temperature for each case.

(a) To calculate the increase in body temperature for a 1601 lb man who consumes a candy bar containing 287 Cal, we need to convert calories to joules. Since 1 Calorie (Cal) is equal to 4184 joules, we have:
Energy = 287 Cal × 4184 J/Cal = 1.2 × \(10^6\) J
Now, using the specific heat formula Q = mcΔT, where Q is the energy, m is the mass, c is the specific heat, and ΔT is the change in temperature, we can rearrange the formula to solve for ΔT:
ΔT = Q / (mc)
Assuming the mass of the man is converted to kilograms, we have:
ΔT = (1.2 × \(10^6\) J) / (1601 lb × 0.4536 kg/lb × 3.47 J/°C) ≈ 3.0 °C
Therefore, the body temperature of the 1601 lb man will increase by approximately 3.0 °C.
(b) For a 160 lb man who consumes a roll of candy containing 41.9 Cal, we repeat the same calculation:
Energy = 41.9 Cal × 4184 J/Cal = 1.75 × \(10^5\) J
ΔT = (1.75 × \(10^5\) J) / (160 lb × 0.4536 kg/lb × 3.47 J/°C) ≈ 2.4 °C
Thus, the body temperature of the 160 lb man will increase by approximately 2.4 °C.

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Answer:

D

Step-by-step explanation:

brainliest

To find the factors of the expression 12x^2 - 4x - 1, we can use the factor theorem. The factor theorem states that if a polynomial expression evaluates to zero when a certain value is substituted for the variable, then that value is a factor of the polynomial.

To determine if a certain value is a factor of the expression, we can use synthetic division. Synthetic division involves dividing the polynomial expression by the possible factor to check if the remainder is zero. If the remainder is zero, then the value is a factor.

Let's start by checking if x = 1 is a factor of the expression:

    1 | 12 - 4 - 1
      |     12   8
      |____________
       12   8   7

Since the remainder is not zero, x = 1 is not a factor of the expression.

Next, let's check if x = -1 is a factor of the expression:

   -1 | 12 - 4 - 1
      |    -12  16
      |____________
       12 -16  15

Again, the remainder is not zero, so x = -1 is not a factor of the expression.

Now, let's check if x = 2 is a factor of the expression:

    2 | 12 - 4 - 1
      |     24 40
      |____________
       12  20 39

Once again, the remainder is not zero, so x = 2 is not a factor of the expression.

Finally, let's check if x = -2 is a factor of the expression:

   -2 | 12 - 4 - 1
      |    -24 56
      |____________
       12 -28 55

As we can see, the remainder is not zero, so x = -2 is not a factor of the expression.

After checking all the possible factors, we can conclude that none of the values tested (1, -1, 2, -2) are factors of the expression 12x^2 - 4x - 1.

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Answer:

none because 13 times 13 is 169

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

it has two 1s for 2 x values

The student's claim is incorrect because , ( x + 9 ) ( x - 9 ) = x² - 81 , therefore the right side of the equation does not equal to the left side of the equation

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

A = ( x + 9 ) ( x - 9 )

On simplifying , we get

A = ( x + 9 ) ( x ) - ( x + 9 ) ( -9 )

A = x² + 9x - 9x - 81

On further simplification , we get

A = x² - 81

Hence , the equation is solved and A = x² - 81

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Answer:

Step-by-step explanation:

V=l*w*h

V=4* 2 1/2 * 3 1/2=4*5/2*7/2=35

Answer:

V=35

Step-by-step explanation:

V=Bh

v=volume

b=base(length & width)

h=height

V=(4)(2 1/2)(3 1/2)

V=(10)(3 1/2)

V=35

Therefore, Isaac should use the arithmetic mean to describe the temperatures recorded at noon during the week.

To describe the temperatures recorded by Isaac during one week, we need to choose an appropriate measure of center. The measure of center provides a representative value that summarizes the central tendency of the data.

In this case, since the temperatures do not contain an extreme value and we want a measure that represents the typical or central value of the data, the most suitable measure of center to use is the arithmetic mean or average.

The arithmetic mean is calculated by summing all the values and dividing the sum by the number of values. It provides a balanced representation of the data as it considers every observation equally.

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Answer:

The input for the method is a continuous function f, an interval [a, b], and the function values f(a) and f(b). The function values are of opposite sign (there is at least one zero crossing within the interval). Each iteration performs these steps: Calculate c, the midpoint of the interval, c = a + b2.

Step-by-step explanation:

-------------------------

Answer:

Hello the excel output is missing attached is the excel output for the question

Answer : living area and Bedrooms

Step-by-step explanation:

A significant variable is a variable that is vital in the  determination of the outcome of an activity or group of activities, and when the variable is independent is means that other variable does not affect its value or importance.

hence the important independent variable in this question are : Living area (x2) and Bedrooms(x3) because the pvalue < ∝ = 0.05

2x-3=7

The answer would be 5.

Answer:

x=5

Step-by-step explanation:

2x−3=7

Add 3 to both sides.

2x=7+3

Add 7 and 3 to get 10.

2x=10

Divide both sides by 2.

x=10/2

Divide 10 by 2 to get 5.

x=5

A subset of a population selected to represent the population is a sample.

A sample is a subset of a population that is selected to represent the larger population as a whole. It is important to select a representative sample so that the results of the analysis are accurate and reliable.

A population can be defined as a group of individuals, objects, or subjects that share common observable characteristics or traits. A population is a group of things that share something in common, and it can be any size.

A sample is a smaller group of individuals, objects, or subjects that are taken from the population to perform research or statistical analysis. Samples are typically used in research to estimate what is happening in the population as a whole.

A subset is a subset of a larger group.

In other words, it is a smaller set that is part of a larger set. A subset can contain any number of elements or members, and it can be of any size.

Hence, the "a sample" is correct.

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Answer:

 A right triangle is shown. The length of the hypotenuse is 8.3 and the length of another side is 5.

Answer: B

Step-by-step explanation:

Hi,

7.9p - 7.9p = 0.7 + 7.9 - 6

0 = 2.6

so, there is no solution

Satoko has 303030 tokens to spend at an arcade, and the three lines indicate the cost of playing her favorite games. She must also consider her personal preference for each game, as enjoyment plays a crucial role.

Satoko's objective is to make the most out of her 303030 tokens while enjoying her three favorite games at the arcade. To achieve this, she needs to allocate her tokens wisely across the three games. By analyzing the cost of playing each game for various numbers of times, she can determine the optimal strategy.

First, Satoko should identify the game with the lowest cost per play. If one game stands out as the most affordable, she can prioritize it to maximize the number of plays within her token budget. However, she must also consider her personal preference for each game, as enjoyment plays a crucial role.

Next, Satoko can distribute the remaining tokens among the other two games. She should aim to strike a balance, ensuring she has a reasonable number of plays for each while still getting the most out of her tokens. It might be beneficial to allocate more tokens to the game she enjoys the most among the remaining two.

By carefully analyzing the cost per play and her personal preferences, Satoko can make informed decisions on how to allocate her 303030 tokens at the arcade. This strategic approach will help her maximize her enjoyment and extend her gaming experience within the given budget.

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The total vertical distance traveled by the ball when it stops bouncing is twice the sum of the distances it falls during each bounce.

The total vertical distance traveled by the ball when it stops bouncing is equal to the sum of the distance it falls and the distance it rises.

When a ball bounces, it follows a pattern where it falls vertically downward and then rebounds vertically upward, reaching a slightly lower height with each bounce until it eventually comes to a stop.

To calculate the total vertical distance traveled by the ball, we need to consider both the downward and upward movements during each bounce.

Let's assume that the ball is dropped from a certain height and bounces a total of "n" times before coming to rest.

During the first bounce, the ball falls a certain distance downward. On the subsequent bounce, it rises to a slightly lower height than the previous bounce and then falls again. This pattern repeats for each subsequent bounce until the ball eventually stops bouncing.

To find the total vertical distance traveled, we need to add up the distances traveled during each downward and upward movement for all "n" bounces.

Mathematically, the total vertical distance traveled by the ball can be expressed as:

Total Distance = Distance of First Fall + Distance of First Rise + Distance of Second Fall + Distance of Second Rise + ... + Distance of nth Fall + Distance of nth Rise

Since each downward and upward movement is equal in magnitude, we can simplify the equation:

Total Distance = 2 × (Distance of First Fall + Distance of Second Fall + ... + Distance of nth Fall)

Therefore, the total vertical distance traveled by the ball when it stops bouncing is twice the sum of the distances it falls during each bounce.

By calculating the sum of the distances the ball falls during each bounce and multiplying it by 2, we can determine the total vertical distance traveled by the ball.

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Option (A)  (y = ±2x + 3) represents a function. In this equation, for every value of x, there is only one corresponding value of y, which satisfies the equation.

A function is a relation between two variables where each input is associated with exactly one output. To determine if an equation represents a function, we can use the vertical line test.

Out of the given options, only equation A (y = ±2x + 3) represents a function. In this equation, for every value of x, there is only one corresponding value of y, which satisfies the equation. When plotted on a coordinate plane, a vertical line will intersect the graph at most once for every value of x.

Equations B\((x^2 + y^2 = 16)\), C\((y = \pm3x + 8)\), D \((y^2 = -5x - 8)\), and E \((x = 4y + 7)\) do not represent functions. In these equations, a vertical line will intersect the graph more than once for some values of x, meaning that there are multiple outputs for a single input, which violates the definition of a function.

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Answer:

Math: Deals 6710 - 9506 fire damage and combustion to the second weakest enemy and 2 random enemies.

Step-by-step explanation:

wra

Here is the completed table:

Time (x)    Distance from Surt (y)

0                           230

1                           185

2                           140

3                           95

4                                50

5                            5

To complete the table for John's drive, we need to substitute different values of x into the equation y = 230 - 45x to calculate the corresponding distances from Surt (y) at different times (x).

In this table, the time (x) represents the number of hours John has been driving, and the distance from Surt (y) represents the corresponding distance he has covered from Surt in miles.

For example, when John starts driving (x = 0), he is 230 miles away from Surt. As time progresses, the distance from Surt decreases by 45 miles for every hour of driving, according to the equation y = 230 - 45x.

By substituting different values of x into the equation, we can determine the distance from Surt at various points in John's drive.

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Answer:

Step-by-step explanation:

(a + b)² =a² + 2ab + b²

(a -b)² = a² - 2ab + b²

1) y = (x -1)²

 y= x² -  2*x*1 + 1

y = x² - 2x + 1    

Ans: C

2)y = (x +4)² + 5

y = x² +2*x*4 + 4² + 5

  = x² + 8x + 16 + 5

y = x² + 8x + 21

C

3) y = -(x + 9)²- 10

y = - [x² + 18x + 81] - 10

= -x² - 18x - 81 - 10

y =-x² - 18x - 91

B

4) y = 3(x + 2)² - 18

y =3 [x² + 4x + 4] - 18

y =  3x² + 12x  + 12 - 18

y =3x²  + 12x - 6

A

5) y = -2(x + 1)² - 16

       = -2[x² + 2x + 1] -16

       = -2x² - 4x - 2 - 16

     y = -2x² - 4x -  18

A

6) y = 5(x + 5)²

        =5[x²+ 10x + 25]

y = 5x² +50x + 125

A

7)y = (1/2)(x + 8)² - 8

  y = (1/2) (x² + 16x + 64) - 8

\(y = \dfrac{1}{2}*x^{2}+ \dfrac{1}{2}*16x + \dfrac{1}{2}*64 -8\\\\\\y =\dfrac{1}{2}x^{2}+8x +32 - 8\\\\\\y=\dfrac{1}{2}x^{2} +8x + 24\)

A

8) y = (x + 3/2)² + 3/4

\(y = x^{2} +2*x*\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\y=x^{2}+3x+\dfrac{12}{4}\\\\\\y=x^{2}+3x + 3\)

C

9) y = 2[x² + 16x + 64] - 5x

y = 2x² + 32x + 64 - 5x

y =2x² + 27x + 6

Instead of using a t-test, alternative statistical tests can be employed when the null hypothesis makes specific claims about the data. These tests are chosen based on the type of data and the specific hypothesis being tested.

When the null hypothesis makes claims about the data that go beyond a simple comparison of means, using a t-test may not be appropriate. Alternative statistical tests can be used in such situations to address specific hypotheses.

For example, if the null hypothesis involves comparing proportions, a chi-square test or Fisher's exact test can be used. These tests are suitable for analyzing categorical data and determining if there is a significant difference between observed and expected frequencies.

Similarly, if the null hypothesis involves comparing means across more than two groups, analysis of variance (ANOVA) or its non-parametric counterpart, the Kruskal-Wallis test, can be employed. These tests allow for the comparison of means across multiple groups and can provide valuable information about the overall differences between groups.

The selection of an appropriate test depends on various factors. The nature of the variables being analyzed, such as categorical or continuous, influences the choice of test. Sample size also plays a role, as some tests require larger sample sizes to yield accurate results. Additionally, each test has certain assumptions associated with it, and researchers need to ensure these assumptions are met before applying the test.

By using alternative tests that are suitable for the specific hypotheses being tested, researchers can gain a deeper understanding of their data. This approach allows for more accurate statistical inferences and can provide valuable insights into the relationships and differences present in the dataset.

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Answer:

449 100

Step-by-step explanation:

0.2% × 450000÷ 100=900

450000-900= 449 100

Answer:

Step-by-step explanation:

The answer is 449100 pounds .

Answer:

(8,7)

Step-by-step explanation:

To find the x coordinate of the midpoint

Add the x coordinates of the endpoints and divide by 2

(10+6)/2 = 16/2 = 8

To find the y coordinate of the midpoint

Add the y coordinates of the endpoints and divide by 2

(5+9)/2 = 14/2 = 7

The coordinate of the midpoint is (8,7)

Answer:

897.23

Step-by-step explanation:

The decimal places start at the tenths:

00.tenths, hundredths, thousandths

So you would need to end up with only two numbers after the decimal.

To round, if a number is 4 or less, leave the next number as it is.

Ex: 2.32 → 2.3                    Rounding to the tenths

     78.614 → 78.6               Rounding to the tenths

If the number is 5 or higher, round up one number

EX: 37.76 → 37.8                Rounding to the tenths

      6.389 → 6.4                 Rounding to the tenths

Our number, 897.234, needs to be rounded to the hundredths place, so use the number to its right to determine the rounded value. The number 4 means that the hundredths place will remain the same, so the new value is:

897.23

:Done

A firm would not produce a unit of output where marginal cost (MC) exceeds marginal revenue (MR) because doing so would result in a loss.

The firm's goal is to maximize profit, and this is achieved by producing at a level where MC is equal to MR.

If MC is higher than MR, it means that the additional cost of producing one more unit is not offset by the additional revenue generated from selling that unit, leading to a negative impact on the firm's overall profitability.

In a profit-maximizing scenario, firms aim to produce at a level where MC is equal to MR.

This is because producing at this point ensures that the incremental cost of production is matched by the additional revenue generated, leading to optimal profit levels.

If MC exceeds MR, producing additional units would lead to diminishing returns and reduce the firm's profitability.

Therefore, it would not be rational for the firm to produce at that level of output.

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The number of ordered quadruplets of non-negative integers that satisfy the given condition is:
|A| - |B| = 161,700 - 16,215 = 145,485

To solve this problem, we need to use the Principle of Inclusion-Exclusion (PIE). Let A be the set of all quadruplets (a1,a2,a3,a4) of non-negative integers that satisfy the equation a1+a2+a3+a4=100, and let B be the set of all quadruplets where all four integers are odd. Then the number of quadruplets that satisfy the given condition is given by:
|A| - |B|
To find |A|, we can use stars and bars. If we consider 100 stars and 3 bars, we can partition the stars into 4 groups, corresponding to the four integers. There will be 99 gaps between the stars and bars, and we need to choose 3 of them to place the bars. This gives us:
|A| = (99 choose 3) = 161,700
To find |B|, we can use a similar approach. If all four integers are odd, then they must be of the form 2k+1, where k is a non-negative integer. Substituting this into the equation a1+a2+a3+a4=100, we get:
2k1 + 1 + 2k2 + 1 + 2k3 + 1 + 2k4 + 1 = 100
Simplifying this equation, we get:
k1 + k2 + k3 + k4 = 48
This is now an equation in non-negative integers, which we can solve using stars and bars. We need to partition 48 stars into 4 groups, and there will be 3 bars separating them. This gives us:
|B| = (47 choose 3) = 16,215.

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The volume of a sphere is given by

where Pi=3.14 and r is the radius, which in our case is 5cm.

By substituting these values into the last formula, we get

which gives

then, by rounding to the nearest hundredth, the volume is 525.33 cm^3

Lower class limits are 15, 25, 35, 45, 55, 65, 75, Upper class limits are 24, 34, 44, 54, 64, 74, 84, Class width are 10 (all classes have a width of 10), Class midpoints are 19.5, 29.5, 39.5, 49.5, 59.5, 69.5, 79.5, Class boundaries are [15, 25), [25, 35), [35, 44), [45, 54), [55, 64), [65, 74), [75, 84) and Number of individuals included in the summary is 76.

Here are the details for the given frequency distribution:

Lower class limits are the least number among the pair

Here, Lower class limits are 15, 25, 35, 45, 55, 65, 75 respectively.

Upper class limits are the greater number among the pair

Here, upper limit class are 24, 34, 44, 54, 64, 74, 84 respectively.

Class width is the difference between the Lower class limits and Upper class limits which is 10 (all classes have a width of 10).

Class midpoints is the middle point of the lower class limits and Upper class limits which is 19.5, 29.5, 39.5, 49.5, 59.5, 69.5, 79.5 respectively.

Class boundaries are the extreme points of the classes which are  [15, 25), [25, 35), [35, 44), [45, 54), [55, 64), [65, 74), [75, 84) respectively.

Number of individuals = 27 + 33 + 14 + 4 + 6 + 1 + 1

                                     = 76

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