Find the least common denominator of the fractions. 4/7 and 2/3 A. 21 B. 7 C. 3 D. 10

Answer:

Step-by-step explanation:

-6+6=0 -3+3=0

This is because the signs are different so you count back starting with the negatives.

-6,-5,-4,-3,-2,-1,0

Answer:

B) 6 positive tiles

Step-by-step explanation:

(a) Using the definition of the Laplace transform, we have L{f(t)} = ∫[0,∞] e^(-st) * (sin²(t) / t) dt.

(b) Similarly, for f(t) = e^(-2t) * cos(2t), the Laplace transform is given by L{f(t)} = ∫[0,∞] e^(-(s+2)t) * cos(2t) dt.

(c) The Laplace inverse of F(s) = (s-3)² - 3 = 3 cannot be determined without additional information or constraints on the function.

(a) To find the Laplace transform of f(t) = sin²(t) / t, we can use the definition of the Laplace transform. The Laplace transform of a function f(t) is given by L{f(t)} = ∫[0,∞] e^(-st) * f(t) dt.

For the given function, we have f(t) = sin²(t) / t. Plugging this into the Laplace transform definition, we get:

L{f(t)} = ∫[0,∞] e^(-st) * (sin²(t) / t) dt.

Unfortunately, the integral of this function does not have a simple closed-form solution. However, it can be expressed using special functions such as the exponential integral or sine integral functions.

(b) To find the Laplace transform of f(t) = e^(-2t) * cos(2t), we can again use the definition of the Laplace transform. Plugging in the function, we get:

L{f(t)} = ∫[0,∞] e^(-st) * (e^(-2t) * cos(2t)) dt.

Simplifying the expression, we have:

L{f(t)} = ∫[0,∞] e^(-(s+2)t) * cos(2t) dt.

This integral can be evaluated using integration techniques, such as integration by parts or complex integration methods, to obtain the Laplace transform of f(t).

(c) To find the Laplace inverse of F(s) = (s-3)² - 3 = 3, we can apply the inverse Laplace transform. The Laplace inverse transform of F(s) is denoted by L^{-1}{F(s)}.

Using the properties of Laplace transforms and inverse transforms, we can simplify the expression F(s) = (s-3)² - 3 to obtain the inverse transform. However, without additional information or constraints on the function, it is not possible to determine the exact Laplace inverse transform in this case.

To know more about Laplace transforms, click here: brainly.com/question/30759963

#SPJ11

Answer:

B) Unequal

Step-by-step explanation:

yun po yung sagot

p follow po at pa rate at heart

The solution of the sum of the numbers will be 5.

To make the addition easier, we can first simplify the fractions by finding a common denominator. The smallest common multiple of 2, 3, and 4 is 12. We can rewrite the fractions with this denominator:

7/4 = (7/4) x (3/3) = 21/12

1/2 = (1/2) x (6/6) = 6/12

5/3 = (5/3) x (4/4) = 20/12

1/3 = (1/3) x (4/4) = 4/12

1/4 = (1/4) x (3/3) = 3/12

1/2 = (1/2) x (6/6) = 6/12

Now we can add the fractions together:

21/12 + 6/12 + 20/12 + 4/12 + 3/12 + 6/12

Combining like terms, we get:

60/12 = 5

So the sum of the original fractions is equal to 5.

To know more about summation follow

https://brainly.com/question/542712

#SPJ1

Descriptive statistics are used to summarize data in a useful and informative manner.

This type of statistics provides meaningful information about the data set by organizing and presenting it in an easily understandable format. Descriptive statistics can be used to summarize the data in the form of tables, graphs, and charts. It can also be used to provide detailed information about the data set, such as the mean, median, mode, standard deviation, and range.

Descriptive statistics can also be used to make inferences about a population. This is done by comparing the data collected from a sample to the characteristics of the population. By understanding the characteristics of the population, researchers can make accurate predictions about the behavior of the population.

Descriptive statistics can also be used to determine if the data adequately represent the population. This involves analyzing the sample size, data accuracy, and the assumptions made about the population. If the data does not accurately represent the population, then researchers have to make changes to their data collection process or revise their assumptions about the population.

Finally, descriptive statistics can be used to gather or collect data. This involves designing surveys, experiments, and other data collection methods. By using descriptive statistics to collect data, researchers can ensure that the data is valid and reliable.

To know more about statistic click-
https://brainly.com/question/15525560
#SPJ1

Answer:

Not probabillity of picking a green marble is 80%

Step-by-step explanation:

Answer:

.80 or 4/5

Step-by-step explanation:

Probability is all about figuring out what you are or not going to get.

One good trick of figuring this out is taking what you don't want, (here its green marbles) take them out, then add all the marbles (G,B,R) and divide. Here you are dividing 8 by 10 which comes out to .80

The only other thing to do is simplify if needed. .80 turns into 8/10 and the only thing that 8 and 10 are divisible by is 2 so it would turn into 4/5

Hope this info can help ;)

R is an equivalence relation on S = {1, 2, 3, 4, 5}, with two distinct equivalence classes: [1, 2, 4, 5] and [3]. Each equivalence class is uniquely determined by an element of S.

To determine what R is, we can use the properties provided:
- Property 1 states that 1 is in the same equivalence class as 4 and 5. So we know that 1, 4, and 5 are related to each other in some way.
- Property 2 states that 2 is also in the same equivalence class as 4 and 5. So we know that 2, 4, and 5 are related to each other in the same way as 1, 4, and 5.
- Property 3 states that 3 is in the same equivalence class as 2. So we can infer that 3 is also related to 4 and 5 in the same way as 1, 4, and 5, since 2 is related to 4 and 5 in that way.

Putting all of this together, we can say that R is the equivalence class containing the elements {1, 2, 3, 4, 5}, since all of these elements are related to each other under the same equivalence relation.

As for the number of distinct equivalence classes that R has, we can use the fact that each equivalence class is defined by a unique element in the set S. Since S has five elements, there can be at most five distinct equivalence classes. However, since we know that 1, 2, and 3 are all related to each other (and to 4 and 5), we can see that there are only two distinct equivalence classes in R:
- {[1, 2, 3, 4, 5]} (which we already identified as R itself)
- {[]} (the empty set, since no other element in S is related to any of the elements in R)

Learn more about Equivalence Classes here: brainly.com/question/30340682

#SPJ11

(7x - 23)° + (11x + 23)° = 180°

7x - 23° + 11x + 23° = 180°

18x = 180° / : 18

x = 10°

When an inequality is multiplied or divided by a negative number, the inequality sign will flip, meaning it will change its direction. For example, if you have a > b and you multiply or divide both sides by a negative number, the inequality will become a < b. This is because the relationship between the values reverses when multiplied or divided by a negative number.

Explanation:

When an inequality is multiplied or divided by a negative number, the direction of the inequality sign is flipped. This is because multiplication or division by a negative number, results in a reversal of the order of the numbers on the number line.

To see why this happens, consider the following example:

Suppose we have the inequality x < 5. If we multiply both sides of this inequality by -1, we get -x > -5. Notice that we have flipped the inequality sign from "<" to ">". This is because multiplying by -1 changes the sign of x to its opposite, and also changes the sign of 5 to its opposite, resulting in a reversal of the order of the numbers on the number line.

Similarly, if we divide both sides of the inequality x > 3 by -2, we get (-1/2)x < (-3/2). Here, we have again flipped the inequality sign from ">" to "<". This is because dividing by a negative number also changes the order of the numbers on the number line.

In general, if we have an inequality of the form a < b or a > b, where a and b are real numbers, and we multiply or divide both sides by a negative number, we obtain:

If we multiply by a negative number, the inequality sign is flipped. For example, if a < b and c < 0, then ac > bc.

If we divide by a negative number, the inequality sign is also flipped. For example, if a > b and c < 0, then a/c < b/c.

Therefore, it is important to be mindful of the signs of the numbers involved when performing operations on inequalities. If we multiply or divide by a negative number, we must flip the direction of the inequality sign accordingly.

Know more about the inequality click here:

https://brainly.com/question/30231017

#SPJ11

Answer: She wants to reduce costs

Step-by-step explanation:

Answer:

She wants the construction to move more quickly

Step-by-step explanation:

this was the correct answer as shown on the quiz. the choices were changed

according to the topic

5000+1400+1700+2200-5000×80%+1200

=55300-4000+1200

=$52500

Thus we choose option B

B.$52,500

Answer:

4th option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, 12) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m = \(\frac{6-12}{6-2}\) = \(\frac{-6}{4}\) = - \(\frac{3}{2}\)

the line crosses the y- axis at (0, 15 ) ⇒ c = 15

y = - \(\frac{3}{2}\) x + 15 ← approximate equation of line of best fit

Answer:

- 3x - 6y

Step-by-step explanation:

Given

(x + 2y)(- 3) ← multiply each term in the parenthesis by - 3

= - 3x - 6y

They should use 6 cup of Noah's measuring cup

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating the number of cup the should use:

Number of cup = Recipe call / Noah's cup

Number of cup = (3/4) / (1/8)

Number of cup = 3*8 / 4*1

Number of cup = 24/4

Number of cup = 6

Learn more about algebraic operations at: brainly.com/question/3927786

#SPJ4

Correctly written question:

Melanie and Noah are baking a birthday cake for Francesca. The recipe call for 3/4 measuring cup and Noah has a 1/8 measuring cup. Which cup should they use?

Answer:

\(P(W') = \frac{6}{n+6}\)

Step-by-step explanation:

Let P(W) represents the probability that Paul wins

Let P(W') represents the probability that Paul does not win

Given

\(P(W) = \frac{n}{n+6}\)

Required

\(P(W')\)

In probability, the sum of opposite probability equals 1;

This implies that

\(P(W) + P(W') = 1\)

Substitute \(P(W) = \frac{n}{n+6}\) in the above equation

\(P(W) + P(W') = 1\) becomes

\(\frac{n}{n+6}+ P(W') = 1\)

Subtract \(\frac{n}{n+6}\) from both sides

\(\frac{n}{n+6} - \frac{n}{n+6} + P(W') = 1 - \frac{n}{n+6}\)

\(P(W') = 1 - \frac{n}{n+6}\)

Solve fraction (start by taking the LCM)

\(P(W') = \frac{n + 6 - n}{n+6}\)

\(P(W') = \frac{n - n + 6}{n+6}\)

\(P(W') = \frac{6}{n+6}\)

Hence, the probability that Paul doesn't win is \(P(W') = \frac{6}{n+6}\)

The IH states that the sum of the angles in convex polygon C(which, by the IH, is (n - 2)·π) and the sum of the angles in triangle B (180°) is the same as the sum of the angles in A.

Using induction all convex polygons with n vertices have angles that add to (n - 2)·π, therefore let P(n) be that. We will demonstrate that P(n), where n≥3, holds for every n ∈ N. We demonstrate P(3), which states that any convex polygon with three vertices has an angle total of 180 degrees. Any triangle formed by such a polygon has angles that add up to 180°.

Assume that P(n) holds for some n ≥ 3 and that all convex polygons with n vertices have angles that add to (n-2) 180° for the inductive step. We demonstrate P(n+1), which states that each convex polygon with n+1 vertices has an angle sum of (n-1)·π. Let A represent any n+1-vertex convex polygon.

The IH states that the sum of the angles in convex polygon C (which, by the IH, is (n - 2)·π) and the sum of the angles in triangle B (180°) is the same as the sum of the angles in A. As a result, the total angle in A is (n-1) 180°. Thus, the induction is complete and P(n + 1) holds.

To learn more about angles in convex polygon link is here

brainly.com/question/13585442

#SPJ4

The solutions for the given equations would be

x =14

x = -96

x = 53

What is a linear equation in one variable?

A linear equation in one variable is an equation that can be written in the form ax + b = 0, where x is the variable, a and b are coefficients, and a is not equal to zero. The variable x is the unknown value in the equation and the goal is to find the value(s) of x that makes the equation true.

9x = 126

x = 126/9

x = 14

x/8 = -12

x = -12 * 8

x = -96

x + 19 = 72

x = 72 - 19

x = 53

Hence, the solutions for the given equations would be

x =14

x = -96

x = 53

To learn more about the linear equation in one variable, visit:

https://brainly.com/question/85774

#SPJ1

Answer:

A.

Step-by-step explanation:

7+3=10 so it will be A, you're welocme

Answer:

A and D

Step-by-step explanation:

A) x + 7 = 10

D) 4 × x = 12

Answer: n > 2

Step-by-step explanation: n + 5 > 7

n > 7-5

n > 2

Answer: 5

Step-by-step explanation: unless this was somehow a trick question

Answer:

All the interior angles are equivalent to the other interior angles, all the exterior angles are equivalent to the other exterior angles, and all the sides are equal to all the other sides

Step-by-step explanation:

Answer:

This should explain it

Step-by-step explanation:

If its the graph question I think it is this is the answer screenshot.

Answer:

.0888 repeating

Step-by-step explanation:

4 ÷ 5 ÷ 9  work left to right

Answer:

0.088

Step-by-step explanation:

4÷5/9 = ?

First let's see how much 4÷5 is, you will get the answer as 0.8 or 8/10.

Now, we need to calculate how much 0.8/9 = ? The answer is 0.088.

Answer:

x=15

Step-by-step explanation:

5x= 75 (divide)

75/5= 15

Answer: There is only one step to solve this equation; we use inverse operations to isolate the x by dividing 5 on both sides. We divide because 5 is being multiplied by x, and the inverse operation for multiplication is division.

5x/5 = x

75/5 = 15

The equation now looks like:

x = 15

x is equal to 15. This is your answer.

With the given vertices value of the triple integral is 0.

To evaluate the triple integral of the function f(x, y, z) = xyz over the given tetrahedron T with vertices (0,0,0), (1,0,0), (1,1,0), and (1,0,1), follow these steps:

1. Set up the limits of integration: The tetrahedron T is bounded by the planes x=0, y=0, z=0, x+y+z=1. We need to find the limits for x, y, and z.

- For x, the range is between the points (0,0,0) and (1,0,0), so 0 ≤ x ≤ 1.
- For y, given a fixed value of x, the range is between the points (x,0,0) and (x,1-x,0), so 0 ≤ y ≤ 1-x.
- For z, given fixed values of x and y, the range is between the points (x,y,0) and (x,y,1-x-y), so 0 ≤ z ≤ 1-x-y.

2. Write the triple integral with the determined limits of integration:
⌡⌡⌡(xyz dV) = ∫(from 0 to 1) ∫(from 0 to 1-x) ∫(from 0 to 1-x-y) xyz dz dy dx.

3. Integrate with respect to z:
∫(from 0 to 1) ∫(from 0 to 1-x) [(1/2)xyz²] (from 0 to 1-x-y) dy dx
= ∫(from 0 to 1) ∫(from 0 to 1-x) (1/2)xyz(1-x-y)² dy dx.

4. Integrate with respect to y:
∫(from 0 to 1) [(1/6)x(1-x)³] (from 0 to 1-x) dx
= ∫(from 0 to 1) (1/6)x(1-x)³ dx.

5. Integrate with respect to x:
[(1/24)(1-x)⁴] (from 0 to 1)
= (1/24)(1-1)⁴ - (1/24)(1-0)⁴
= 0.

Therefore, the value of the triple integral is 0.

Learn more about triple integral.

brainly.com/question/2289273

#SPJ11

Answer:

value of r will be 126 or numbers lower than 126

Step-by-step explanation:

sorry if im wrong

Answer:

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

Corresponding dimensions are 26 mm and 39 m.

Find the scale factor:

\(Given, `lim N→[infinity] ∑ j=1 N [5(N j) 4−(N j)] N1`.\)We need to find the value of the given expression by using it as a definite integral.

\(First, we can write `∑ j=1 N [5(N j) 4−(N j)] N1` as `∑ j=1 N [5(N j) 4/N - (N j)/N] * (1/N)`\)

\(As `N` approaches infinity, the above expression becomes:`∫₀¹ [5x⁴ - x] dx`\)

Now, evaluating the integral we get:\(`∫₀¹ [5x⁴ - x] dx`= `[(5/5)*x⁵ - (1/2)*x²]₀¹`= `[(5/5) - (1/2)]`= `(9/10)`\)

\(Therefore, `lim N→[infinity] ∑ j=1 N [5(N j) 4−(N j)] N1` = `(9/10)`\)

Thus, the value of the given expression evaluated by using it as a definite integral is `9/10`

To know more about the word evaluated visits :

https://brainly.com/question/12837686

#SPJ11