Consider the following argument: All cats are mammals. I am a mammal. Therefore, I am a cat. Show that this is fallacious using the language of set theory. Illustrate the fallacy with a Venn diagram.

(a) cubic function with three significant digit coefficients: P(t) = 150.7 + 0.358t - 0.000219t^2 + 0.0000012t^3.

(b)  function that models the instantaneous rate of change of the U.S. population : P'(t) = 0.358 - 0.000438t + 0.0000036t^2

(c) So, in 2000, the U.S. population was growing at a rate of 0.168 million people per year, and in 2025 it will be growing at a rate of 0.301 million people per year.

(a) To model the U.S. population in millions, we need a cubic function with three significant digit coefficients. Let's first find the slope of the curve at t=0, which is the initial rate of change:
P'(0) = 0.358

Now, we can use the point-slope form of a line to find the cubic function:
P(t) - P(0) = P'(0)t + at^2 + bt^3

Plugging in the values we know, we get:
P(t) - 150.7 = 0.358t + at^2 + bt^3

Next, we need to find the values of a and b. To do this, we can use the other two data points:
P(25) - 150.7 = 0.358(25) + a(25)^2 + b(25)^3
P(50) - 150.7 = 0.358(50) + a(50)^2 + b(50)^3

Simplifying these equations, we get:
P(25) = 168.45 + 625a + 15625b
P(50) = 186.2 + 2500a + 125000b

Now, we can solve for a and b using a system of equations. Subtracting the first equation from the second, we get:
P(50) - P(25) = 17.75 + 1875a + 118375b

Substituting in the values we just found, we get:
17.75 + 1875a + 118375b = 17.75 + 562.5 + 15625a + 390625b

Simplifying, we get:
-139.75 = 14000a + 272250b

Similarly, substituting the values we know into the first equation, we get:
18.75 = 875a + 15625b

Now we have two equations with two unknowns, which we can solve using algebra. Solving for a and b, we get:

a = -0.000219
b = 0.0000012

Plugging these values back into the original equation, we get our cubic function:
P(t) = 150.7 + 0.358t - 0.000219t^2 + 0.0000012t^3

(b) To find the function that models the instantaneous rate of change of the U.S. population, we need to take the derivative of our cubic function:
P'(t) = 0.358 - 0.000438t + 0.0000036t^2

(c) Finally, we can find the instantaneous rates of change in 2000 and 2025 by plugging those values into our derivative function:
P'(50) = 0.358 - 0.000438(50) + 0.0000036(50)^2 = 0.168 million people per year
P'(75) = 0.358 - 0.000438(75) + 0.0000036(75)^2 = 0.301 million people per year

So in 2000, the U.S. population was growing at a rate of 0.168 million people per year, and in 2025 it will be growing at a rate of 0.301 million people per year. This shows that the population growth rate is increasing over time.

Know more about the cubic function

https://brainly.com/question/20896994

#SPJ11

Respuesta:

25 cm²

Explicación paso a paso:

El área A de un rombo tiene:

A = pq / 2

Donde pyq son las diagonales

Tomando p como la diagonal más grande = 10 cm

Diagonal más pequeña, q = 1/2 * 10 = 5cm

Por lo tanto, el área del rombo es:

A = (10 * 5) / 2

A = 50/2

A = 25 cm²

Answer:

the graph is symmetric about the line y=-1

Step-by-step explanation:

A function is symmetric about y=a when the following is true for all points: f(a-x) = f(a+x). By just looking at the graph, it appears to be symmetric about y=-1, and it can be further proven, by finding the difference of two points, that have the same y-value. So for example if you look at (0, 1) and (-2, 1). The difference between 0 and -1 is 1, and the difference between -2 and -1, is also 1. And this appears to be true for all the other values as well. So the graph is symmetric about the line y=-1

Answer:

The graph is symmetric about the line x=-1

Step-by-step explanation:

The possible measures of the third side of the triangle are 12 cm and 8 cm.

A triangle is a polygon with three sides, angles and vertices, its sum of interior angles is always 180°.

Given that, two sides of a triangle measure 14 centimeters and 21 centimeters.

We know that,

The sum of two side of a triangle is always greater than the third side,

Therefore, if considering 4,

14 + 4 = 18 < 21, not possible

If considering 7,

14 + 7 = 21 = 21, not possible

If considering 8,

14 + 8 = 22 > 21, possible

If considering 12,

14 + 12 = 26 > 21, possible

Hence, the possible measures of the third side of the triangle are 12 cm and 8 cm.

Learn more about triangles, click;

https://brainly.com/question/2773823

#SPJ1

The paired t-test statistic is infinity, which indicates a significant difference in the means of math scores and science scores.

Let's consider an example of a paired t-test and a two-sample t-test on a dataset of 5 students' scores in two different exams: math and science. Let's assume that the students took both exams, and their scores are paired. We want to test whether there is a significant difference in the means of math scores and science scores.

We calculate the difference between each student's math score and science score and compute the mean difference and standard deviation of the differences:

Student Math Score Science Score Difference

1                      80      75                        5

2                      90      85                        5

3                      85      80                        5

4                       95      90                        5

5                    75              70                        5

Mean difference = 5

Standard deviation of differences = 0

We can calculate the paired t-test statistic as:

t = (mean difference - hypothesized difference) / (standard deviation of differences / square root of sample size)

Let's assume the hypothesized difference is 0 (i.e., there is no difference between the means). Then the t-test statistic is:

t = (5 - 0) / (0 / √(10)) = infinity

To know more about t-test here.

https://brainly.com/question/15870238

#SPJ4

Hey there! I'm happy to help!

The slope of a perpendicular line is always the negative reciprocal of the original.

QUESTION 1

For the first one, we have a slope of -2/7. To find the reciprocal you flip the numerator and denominator, giving us -7/2. Then, we want the negative reciprocal, so since two negatives make a positive our perpendicular slope is 7/2.

QUESTION 2

Let's first rearrange our equation to be in slope intercept form.

3x+5y=-15

Subtract 3x from both sides.

5y=-3x-15

Divide both sides by 5.

y=-3/5x-3

First we find the reciprocal of -3/5, which is -5/3. This is the normal reciprocal, but we want the negative one, and since two negatives makes a positive, our slope is 5/3.

Have a wonderful day! :D

Based on this information, we can conclude that the measured mean values of vcom,1 and vcom,2 are not significantly different from each other and fall within the range of experimental error.

Assuming that the mean value of vcom,1 is 5.2 m/s with an experimental uncertainty of 0.1 m/s, and the mean value of vcom,2 is 5.5 m/s with an experimental uncertainty of 0.2 m/s, we can calculate the difference between the two mean values and compare it with the combined experimental uncertainty.

The difference between the two mean values is 0.3 m/s, which is greater than the combined experimental uncertainty of 0.22 m/s (calculated as the square root of (0.1² + 0.2²)). Therefore, we can conclude that the two mean values are different and outside the range of experimental error.

Learn more about Mean values :

https://brainly.com/question/30756017

#SPJ4

The complete question is :

What is the experimental uncertainty of the mean values of vcom,1 and vcom,2, and is the difference between them significant? Can we conclude that the two mean values are the same, or are they within the range of experimental error?

Answer:

Step-by-step explanation:

false

A) Let C(x) the cost of manufacturing x refrigerators, since C is linearly related to x, then we can set the following equation:

To determine the values of m and b we will use the fact that:

Therefore we can set the following system of equations:

Subtracting the second equation from the first one we get:

Dividing the above equation by 75 we get:

Substituting m=75 in 43m+b=5075, and solving for b we get:

Therefore:

B) Evaluating C(x) at x=123 we get:

C) From the equation we get that the fixed cost is $1850.

D) The cost to produce each additional refrigerator is $75.

Answer:

(a)

(b) $11075.

(c) $1850.

(d) $75.

Thus, 36° is the smaller angle and 144° is the greater angle.

For instance, the complement angle of 130° and the angle of 50° is 180°. Complementary angles add up to 90 degrees. When the two extra angles are combined, they create a straight line and an angle. The two angles that complement one another do not necessarily need to be close to one another, it should be emphasised. As a result, two angles may be supplementary if their sum is 180 degrees. The study of various shapes is one of the main areas of mathematics.

To know more about Supplement Angle visit:-

https://brainly.com/question/18164299

#SPJ4

Answer:

310

Step-by-step explanation:

Answer: 310

Step-by-step explanation: 2% equals 10, so just keep counting up until you get 62%.

Hopefully this helped! :D

There are five sign changes, so there are five or, counting down in pairs, three or one negative solutions. Then my answer is:There are two or zero positive solutions, and five, three, or one negative solutions.In the above example, the maximum number of positive solutions (two) and the maximum number of negative solutions (five) added up to the leading degree (seven). It will always be true that the sum of the possible numbers of positive and negative solutions will be equal to the degree of the polynomial, or two less, or four less, or....This can be helpful for checking your work. For instance, if I had come up with a maximum answer of "two" for the possible positive solutions in the above example but had come up with only, say, "four" for the possible negative solutions, then I would have known that I had made a mistake somewhere, because 2 + 4 does not equal 7, or 5, or 3, or 1

There are four, two, or zero positive roots, and zero negative roots.

Descartes' Rule of Signs can be useful for helping you figure out (if you don't have a graphing calculator that can show you) where to look for the zeroes of a polynomial. For instance, suppose the Rational Roots Test gives you a long list of potential zeroes, you've found one negative zero, and the Rule of Signs says that there is at most one negative root. Then you know that you've found every possible negative root (rational or otherwise), so you should now start looking at potential positive roots.Similarly, if you've found, say, two positive solutions, and the Rule of Signs says that you should have, say, five or three or one positive solutions, then you know that, since you've found two, there is at least one more (to take you up to three), and maybe three more (to take you up to five), so you should keep looking for a positive solution.

Answer:

x = 8

Step-by-step explanation:

Write as fraction form

\(\frac{2}{5}=\frac{x}{20}\)

\(\mathrm{Switch\:sides}\)

\(\frac{x}{20}=\frac{2}{5}\)

\(\mathrm{Multiply\:both\:sides\:by\:}10\)

\(\frac{x}{20}\cdot \:10=\frac{2}{5}\cdot \:10\)

\(\mathrm{Simplify}\)

\(\frac{x}{2}=4\)

\(\mathrm{Multiply\:both\:sides\:by\:}2\)

\(\frac{2x}{2}=4\cdot \:2\)

\(\mathrm{Simplify}\)

\(x=8\)

Hence, Answer is [D} x = 8

~Learn with Lenvy~

Solution:

Given:

\(2:5 = x:20\)

We know that:

To find x, let's multiply the extremes and put the product on one side. Then multiply the middles and put the product on the other side.

Now, solve for x.

A rhombus is a quadrilateral that has four sides of equal length. A rhombus also has two diagonals, which are perpendicular bisectors of each other. This formula is given as follows: Perimeter = 4 × a, where a is the length of each side of the rhombus.

To find the perimeter of a rhombus using diagonals, follow these steps:

Step 1: Obtain the length of each diagonal of the rhombus.

Step 2: Use the length of the diagonals to find the length of each side.

Step 3: Add the length of each side to find the perimeter of the rhombus.

The perimeter is the sum of all the sides of a figure. To get the perimeter of a rhombus using diagonals, the length of each diagonal has to be found first. The formula for finding the length of each side of a rhombus is:  where the diagonal is the measure of the diagonal of the rhombus.

To find the perimeter of a rhombus, add the length of all the sides of the rhombus. This formula is given as follows: Perimeter = 4 × a, where a is the length of each side of the rhombus.

Therefore, the perimeter of a rhombus using diagonals can be found by following the above procedure and then using the formula to add all the sides of the rhombus.

Learn more about Perimeter from the given link

https://brainly.com/question/7486523

#SPJ11

Answer:

y = -5(x-5)^2+1125

Step-by-step explanation:

No, the combination lock is not appropriate. This is so as the repetition is  allowed, neither permutation nor the combination rule holds true or valid.

Learn more, https://brainly.com/question/24288075  

#SPJ4

Answer:

x = -1, -7

Step-by-step explanation:

=> x² + 8x + 7 = 0

=> (x + 1) (x + 7) = 0

=> x = -1, -7

Hi there!

Answer:

x=0

How it works:

In coordinate planes, x always goes first. Then the y comes next. If x is 0, and y is also zero, none of those would be in the y axis place...

If the x is in 0 and the y is 1,2,3,4,5.... then the y axis would be in the y axis and x would just stay the same...

If the x is 1, then the y would be 0 which means that there would be nothing in the y axis.

Therefore, the answer is x=0..

Answer:

260 dollars

Step-by-step explanation:

The amount after  10 years will be $260.

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

Given amount invested = $220

rate = 1.7% compounded annually

time = 10 years

the amount is  given by

A = p\((1 + \frac{r}{n} )^{nt}\)

r = 1.7% = 0.017

n = 1 for compounded annually

t = 10 years

p = $220

A = 220(1 + 0.017)¹⁰

A = $260.39

A = $260

Hence the amount is $260.

Learn more about compound interest;

https://brainly.com/question/14295570

#SPJ5

To answer this question, we need to remember that if we have the function f(x), the function -f(x) is the reflection of the function f(x) in the x-axis.

Then, the graph of the function g(x) is the same as g(x) = -f(x). Then, we have that:

Then

We can check this graphically as follows (the red graph is the function f(x) = 4|x| and the blue function is g(x) = -4|x|):

Therefore, g(x) = -4|x| is the reflection of the function f(x) = 4|x| over the x-axis.

In summary, the equation that describes g(x) is:

(First option).

For the answer of factors of expression (12 + 54), in the form of a(b + c), where a is the GCF of 12 and 54 is equals to 6( 2 + 9).

In math, to factor a number means to express it as a product of (other) whole numbers, called its factors. For example, if 7x5 = 35, 7 and 5 are both factors. The divisors that give the remainder to be 0 are the factors of the number. We have an expression of numbers, 12 + 54. We have to write this expression in form of a( b + c), where a is GCF of 12 and 54. Now, we can write the factors of 12 and 54 are 12 = 2×2×3

54 = 2×3 ×3×3

The greatest common factor, GCF of 12 and 54 is 2×3 = 6. So, 12 + 54 = 6× 2 + 6×9

Taking out the common factor 6 from above expression, 6( 2 + 9) which is required form a( b + c). Hence, required expression is 6( 2 + 9).

For more information about factor, visit :

https://brainly.com/question/28765863

#SPJ4

Polynomial is divisible by x+2, therefore the first root is -2.  The second and third roots of the function, we can estimate them utilizing the quadratic equation formula.

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.

Let the given polynomial function be

F(x)=2x³ - 9x² - 6x + 40, the first potential roots are -2, 4 and 5/2.

Solving for the first root, we divide the given function by x+2 where the result is 2x² - 13x + 40.

Since the given polynomial exists divisible by x+2, therefore the first root exists -2.

For the second and third roots of the function, we can estimate them utilizing the quadratic equation formula.

To learn more about polynomial function refer to:

https://brainly.com/question/2833285

#SPJ13

Answer = 1.8

Step 1) 3 ÷ 2.7 = 0.900

Step 2) 0.900 x 2 = 1.8

Time taken by the person to walk the boardwalk to the end and back is 0.9 hours.

Given that, The Coney Island Boardwalk is 2.7 miles long.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

A person walks at the average speed of 3 mph.

We know that, speed = Distance/Time

= 2.7/3

= 0.9 hours

Hence, time taken by the person to walk the boardwalk to the end and back is 0.9 hours.

To learn more about the speed, distance, and time visit:

brainly.com/question/4978052.

#SPJ2

Answer:

D

Step-by-step explanation:

if the password is alphabetic only, not case-sensitive, and has seven characters, there are a total of \(26^7\) possible combinations.

Since the password is alphabetic only and not case-sensitive, it means that there are 26 possible choices for each character of the password, corresponding to the 26 letters of the alphabet. The fact that the password is not case-sensitive means that uppercase and lowercase letters are considered the same.

For each character of the password, there are 26 possible choices. Since the password has seven characters, the total number of possible combinations is obtained by multiplying the number of choices for each character together: 26 × 26 × 26 × 26 × 26 × 26 × 26.

Simplifying the expression, we have 26^7, which represents the total number of possible combinations for the password.

Therefore, if the password is alphabetic only, not case-sensitive, and has seven characters, there are a total of \(26^7\) possible combinations.

Learn more about combinations here:

https://brainly.com/question/13095958

#SPJ11

not sure how much she bought, but all you’d have to do is multiply the cost of salmon fillets ($8.30) times the amount she bought.

Example: if Mrs. Patrolia bought 3 pounds it would be $8.30 x 3.

Answer: 5.99,6 6.01

Step-by-step explanation:

The probability of line from F to B = 25% and the probability of the second line from A to F = 75%

The probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.

The total possible outcome = 20

event of the first line = 5

event of the second line = 15

probability of line from F to B = 5/20

(5 × 100)/20 = 25%

probability of the second line from A to F = 15/20

(15 × 100)/20 = 75%

Therefore, the probability of line from F to B is 25 percent (25%) while the probability of the second line from A to F is 75 percent (75%)

Read more about probability here:https://brainly.com/question/251701

#SPJ1

The probability of line from F to B = 25% and the probability of the second line from A to F = 75%

What is probability

The probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.

The total possible outcome = 20

event of the first line = 5

event of the second line = 15

probability of line from F to B = 5/20

(5 × 100)/20 = 25%

probability of the second line from A to F = 15/20

(15 × 100)/20 = 75%

Therefore, the probability of line from F to B is 25 percent (25%) while the probability of the second line from A to F is 75 percent (75%)

For such more question on probability

brainly.com/question/251701

#SPJ8

Answer:

5 weeks

Step-by-step explanation:

Let factory B produce the same amount of shoes as factory A in w weeks.

then,

70+50w = 120+40w

50w - 40w = 120 - 70

10w = 50

w = 50/10

w = 5

Therefore, in 5 weeks factory B will produce the same amount of shoes as factory A will produce in 5 weeks time.