(12 pts) consider the following rational function where all factors given are irreducible: 2x (x 1)(x 2 3) (a) rewrite the expression using partial fraction decomposition. do not solve for the coefficients. do not solve for the coefficients. 2x (x 1)(x 2 3)

The mass of a gallon of water that weighs 8 pounds to the nearest tenth of a kilogram is; 4 kg

The metric system is defined as a system of measurement that uses the meter, liter, and gram as base units of length (distance), capacity (volume), and weight (mass) respectively.

Now, we are told that;

1 gram = 1 milliliter of water

2 liters = 2 kilograms

Now, we want to find the mass of 8 pounds of water in kilograms.

Now, from basic conversion, we know that;

1 pound of water = 0.453592 kg of water

Thus;

8 pounds of water = 8 * 0.453592

= 3.628736

To the nearest pound gives 4 kg of water.

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Answer:

Loggerhead turtles live and migrate around the Atlantic Ocean. Which of the following is an adaptation of Loggerhead turtles? *

Step-by-step explanation:

The fraction that represents a thirty-seven-degree angle out of a full rotation is 37/360, which signifies that the angle occupies 37 out of the 360 equal parts that make up a complete circle.

In a full rotation, there are 360 degrees, so each degree is a fraction of that complete circle. To determine the fraction that represents a specific angle, we divide the measure of the angle (in degrees) by the total degrees in a full rotation.

In this case, we have a thirty-seven degree angle. Dividing 37 by 360 gives us the fraction 37/360. This means that the angle occupies 37 out of the 360 equal parts that make up a full rotation.

The fraction 37/360 can be simplified, if needed, by finding any common factors in the numerator and denominator. However, in this case, 37/360 is already in its simplest form.

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Answer:

i need this answer too someone please answer lol

Answer:

80 oz

Step-by-step explanation:

There are 16 ounces in a pound, so:

5 lbs (16 oz/1 lbs)

Multiply the 2 and you get 80 oz.

Answer: 80 ounces

Step-by-step explanation:

5 x 16 = 80

Answer:

C

Hope that helps!

Step-by-step explanation:

Answer:

C (the third one)

Step-by-step explanation:

This is a negative number, meaning that it "increases" as it goes left. It can't be D because that is -15 1/2.

If A and B are independent, they cannot be mutually exclusive. In this case, P(A ∩ B) = P(A) * P(B), but since A and B cannot be mutually exclusive, this situation is not applicable.

If A and B are mutually exclusive events, it means that they cannot occur at the same time. Therefore, P(A and B) is equal to zero, because the intersection of the events is empty. So, if A and B are mutually exclusive:

P(A ∩ B) = 0

If A and B are independent events, it means that the occurrence of one event does not affect the probability of the other event occurring. In this case, the probability of both events occurring can be calculated as:

P(A ∩ B) = P(A) * P(B)

However, since A and B are mutually exclusive, they cannot be independent. If two events are mutually exclusive, the occurrence of one event implies that the other event cannot occur. Therefore, if A and B are mutually exclusive, they cannot be independent.

So,

If A and B are mutually exclusive, P(A ∩ B) = 0 and it does not make sense to talk about the probability of both events occurring together.

If A and B are independent, they cannot be mutually exclusive. In this case, P(A ∩ B) = P(A) * P(B), but since A and B cannot be mutually exclusive, this situation is not applicable.

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Answer:

120π

Step-by-step explanation:

radius = 6

angle =120

because a circle is 360, so that's 1/3 of the full circle

full circle area = πr² =36π

so the arc area = 1/3 * 360π = 120π

Answer:

2 million 2 3 divided by 3= 20000

Step-by-step explanation:

add and divide

Answer: The answer is after 10 months.

Step-by-step explanation:

So you first start trying to input random numbers up until you get to 10. You multiply 22 by 10 and add an additional 80 making it 300. While when you multiply 30 by 10 you get 300 also.

(a) We have shown that there exists an element b ∈ B that is an upper bound for A.

(b) The statement in part (a) is not always the case if we only assume sup A ≤ sup B.

(a) If sup A < sup B, show that there exists an element b ∈ B that is an upper bound for A.

Proof:
1. By definition, sup A is the least upper bound for set A, and sup B is the least upper bound for set B.
2. Since sup A < sup B, there must be a value between sup A and sup B.
3. Let's call this value x, where sup A < x < sup B.
4. Now, since x < sup B and sup B is the least upper bound of set B, there must be an element b ∈ B such that b > x (otherwise, x would be the least upper bound for B, which contradicts the definition of sup B).
5. Since x > sup A and b > x, it follows that b > sup A.
6. As sup A is an upper bound for A, it implies that b is also an upper bound for A (b > sup A ≥ every element in A).

Thus, we have shown that there exists an element b ∈ B that is an upper bound for A.

(b) Give an example to show that this is not always the case if we only assume sup A ≤ sup B.

Example:
Let A = {1, 2, 3} and B = {3, 4, 5}.
Here, sup A = 3 and sup B = 5. We can see that sup A ≤ sup B, but there is no element b ∈ B that is an upper bound for A, as the smallest element in B (3) is equal to the largest element in A, but not greater than it.

This example shows that the statement in part (a) is not always the case if we only assume sup A ≤ sup B.

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The statement  of the given question is True.

True. This is because there are only 14 different types of socks to choose from, so if you choose 15 socks, there must be at least one pair of socks that match. This is known as the Pigeonhole Principle, which states that if there are more pigeons than pigeonholes, at least one pigeonhole must contain more than one pigeon. In this case, the socks are the pigeons and the different types of socks are the pigeonholes.

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Answer:

y = -x - 14

Step-by-step explanation:

The solutions to the equation 2|n| - 12 = 16 are n = 14 and n = -14.

So, the correct answer is n = 14 or n = -14.

The equation to solve is 2|n| - 12 = 16.

We can start by isolating the absolute value term by adding 12 to both sides of the equation, which gives us 2|n| = 28.

Next, we divide both sides of the equation by 2 to solve for the absolute value, resulting in |n| = 14.

To find the solutions for n, we consider both the positive and negative values of the absolute value.

For the positive case, n = 14 satisfies the equation since |14| = 14.

For the negative case, we have -n = 14, which implies n = -14.

So, the correct answer is n = 14 or n = -14.

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Answer:

List 4

Step-by-step explanation:

list 4 because 1 bag equals 2 pink which is 4

The slope Using the formula will be h = -100t + 4000

This is a linear function because for every 5 seconds that pass, the height of the plane drops 500 feet, or -500 to be exact. So that's the slope of the line.

If we look at the table we can determine where the graph goes through the h axis. The h axis is the y axis, and the t axis is the x axis. So where the graph goes through the h axis is also the y-intercept.

If your teacher is any good at all, he/she would make sure that you understand beyond a shadow of a doubt that the y-intercept exists where x = 0. Looking at the table, where x (t) is 0, y (h) is 4000 feet.

Writing the linear equation then is super easy. In the form y = mx + b, we already know both the slope (-100) and the y-intercept (4000), so we fill in accordingly:

h = -100t + 4000 which appears to be choice a.

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Answer:

A. \(( 8 \times \frac{1}{2} )\frac{1}{3}\)

Explanation:

Associate property of multiplication: a × (b × c) = (a × b) × c

Option A

Shows associate property of multiplication. Does not change final answer.

Option B

The grouping does not change inside the parenthesis.

Option C

This does show associate property but multiplying first 8 × 1/3 is complex.

Option D

Product of this changes the final answer. Not correct.

Answer:

364 days

Step-by-step explanation:

Magic bean will take 364 days to grow 14.56 m tall.

A conversion factor exists as a ratio that expresses how many of one unit stand equal to another unit. For example, there exist 12 in. in 1 ft, 1609 m in 1 mi, 100 cm in 1 m, 60 s in 1 min, and so on.

Unit conversion exists as a multi-step procedure that involves multiplication or division by a numerical factor, choosing the accurate number of significant digits, and rounding.

First we need to convert the height in m into cm.

14.56 m=14.56*100=1456 cm

If it grows 4 cm in one day then:

It will take 1456/4=364 days (a year) to grow completely.

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The solution of u in the equation where u is a real number is -10.

In the number system, real numbers are only the fusion of rational and irrational numbers. These numbers can generally be used for all arithmetic operations and can also be expressed on a number line. Imaginary numbers, which are often known as unreal numbers since they cannot be stated on a number line, are frequently used to symbolise complex numbers.

Given that u is a real number and the value of \(u^3 = -1000\).

Take cube root on both sides of the equation:

\(\sqrt[3]{u^3} = \sqrt[3]{-1000} \\\\u = \sqrt[3]{(-10)(-10)(-10)} \\\\u = -10\)

Hence, the value of u is -10.

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Answer:

I think the answer is 2.3

Answer:

September hope it help

Step-by-step explanation:

The critical value of t for a two-tailed test with 6 degrees of freedom using α = .05 is b. 2.447.

The critical value of t for a two-tailed test with 6 degrees of freedom using a significance level (α) of .05 can be found using a t-distribution table. In this case, the critical value of t would be approximately 2.447.

This means that if the calculated t-value from your experiment is greater than 2.447 in either direction (positive or negative), it would indicate that the null hypothesis can be rejected and that there is a statistically significant difference between the means of the groups being compared.

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Answer:

v= 0

6(2-0)+2(4)=20 is the simplified version of the equation.

Answer:

35 as a fraction is 7/20

Step-by-step explanation:

Answer:

11/35

Step-by-step explanation:

Using Boolean algebra, we can prove that the left-hand side (LHS) is equal to the right-hand side (RHS) for the given expressions.

To explain further, let's analyze each expression:

(a) W. Y + W'. Y. Z' + W. X. Z + W'. X. Y' = W. Y + W'. X. Z' + X'. Y. Z' + X. Y'. Z

To prove the equality, we need to simplify both sides of the equation using Boolean algebra laws and properties. By applying distributive laws, factorizing, and rearranging terms, we can manipulate the expressions until they are equivalent.

(b) A. D' + A'. B + C'. D + B'. C = (A' + B' + C + D'). (A + B + C + D)

Again, using Boolean algebra laws such as distributive laws, De Morgan's laws, and simplification rules, we can simplify both sides of the equation and manipulate the expressions to obtain an equivalent form.

By applying these laws and properties in a step-by-step manner, we can show that the LHS is equal to the RHS for both expressions, thus proving their equality using Boolean algebra.

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Answer:

well here you go

1= 129

2= 51

3= 129

4= 51

5= 129

6= 51

7= 129

Step-by-step explanation:

since angle 51 is congruent to angle 2, they have the same measure which is 51. and if you look at it, angle 1+ 51 = 180 because they are supplementary angles. when you subtract 51 from 180 you get 129. for the other angles, look at the four on the bottom right side as a copy and paste of the four on the top left. basically meaning since 51 is congruent to angle 2 apply that same thing to angles 4 and 6. and since angle 1 is 129, that means angle 3 is 129 also. again, apply that same thing to angles 5 and 7.

sorry if its confusing, i get it

hope i helped :)

Answer:

c

Step-by-step explanation:

bc im smart ffff f f g g g g g g. t t t t t

Random assignment is the process of placing research participants into the conditions of an experiment in such a way that each participant has an equal chance of being assigned to any level of the independent variable.

Random assignment helps to ensure that the groups being compared in an experiment are equivalent at the start of the study, minimizing the influence of confounding variables and increasing the internal validity of the research.

By randomly assigning participants to different conditions, researchers can infer that any observed differences between groups after the experiment are due to the manipulation of the independent variable rather than preexisting differences between the groups.

Random assignment can be achieved through various methods, such as using random number tables, computer-generated randomization, or random assignment software.

It is an important aspect of experimental design and helps to strengthen the causal inferences that can be drawn from the research findings.

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Answer:

14.5

Step-by-step explanation:

23.78 ÷ 1.64 = 14.5 meaning she bought 14.5 gallons of gas

Answer:

14.5

Step-by-step explanation:

If Elaine spent $1.64 per gallon for 14.5 gallons; she would have paid $23.78 for gas.

$23.78 ÷ $1.64 = 14.5

$1.64 • 14.5 = $23.78

I hope this helps