What’s the difference from 0.44% and 0.4%?

Answer/Step-by-sep explanation:

1. Given:

∆NMK ≅ ∆TRP

\( \overline{NM} = 20 \)

\( \overline{MK} = 15 \)

\( \overline{KN} = 25 \)

\( \overline{TR} = 3x - 1 \)

a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP

b. The side that is congruent to \( \overline{TR} \) is \( \overline{NM} \). Thus:

\( \overline{TR} \) ≅ \( \overline{NM} \)

c. Since \( \overline{TR} \) ≅ \( \overline{NM} \), therefore:

\( \overline{TR} = \overline{NM} \)

\( 3x - 1 = 20 \) (substitution)

Add 1 to both sides

\( 3x = 20 + 1 \)

\( 3x = 21 \)

Divide both sides by 3

\( x = \frac{21}{3} \)

\( x = 7 \)

2. a. Slope of LK = \( \frac{rise}{run} = \frac{4}{3} \)

Slope of LM = \( \frac{rise}{run} = -\frac{3}{5} \)

b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):

\( Lk = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

\( Lk = \sqrt{(-4 -(-7))^2 + (8 - 4)^2} \)

\( Lk = \sqrt{(3)^2 + (4)^2} \)

\( Lk = \sqrt{9 + 16} \)

\( Lk = \sqrt{25} \)

\( Lk = 5 \)

✍️Length of LM is the distance between L(-7, 4) and (-2, 1):

\( LM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

\( LM = \sqrt{(-2 -(-7))^2 + (1 - 4)^2} \)

\( LM = \sqrt{(5)^2 + (-3)^2} \)

\( LM = \sqrt{25 + 9} \)

\( LM = \sqrt{34} \)

\( LM = 5.8 \) (nearest tenth)

∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.

Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.

Answer:

8hours 45minutes

WORKING OUT

75÷50=1.5

so 1 page would take 1.5 minutes

1.51 x 350= 525 minutes

8.75 hours

Using binary search to find the key 60 in the given list, the elements compared in order are: 38, 76, 60.

1. We start by comparing the key (60) to the middle element of the list, which is 38. Since 60 is greater than 38, we know that the key must be in the second half of the list.
2. Next, we compare the key to the middle element of the second half of the list, which is 76. Since 60 is less than 76, we know that the key must be in the first half of the second half of the list.
3. We then compare the key to the middle element of the first half of the second half of the list, which is 50. Since 60 is greater than 50, we know that the key must be in the second half of the first half of the second half of the list.
4. Next, we compare the key to the middle element of the second half of the first half of the second half of the list, which is 72. Since 60 is less than 72, we know that the key must be in the first half of the second half of the first half of the second half of the list.
5. Finally, we compare the key to the middle element of the first half of the second half of the first half of the second half of the list, which is 60. Since 60 is equal to 60, we have found the position of the key in the list.


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Answer:

y=9

Step-by-step explanation:

12/y=4/3

3×12/y=3×4/3

36/y=4

y×36/y= 4×y

36=4y

36/4=4y/4

9=y

Nonlinear dynamics and chaos are important fields of study within mathematics that focus on the behavior of complex systems that are difficult to predict. These systems can exhibit chaotic behavior, which is characterized by extreme sensitivity to initial conditions and the appearance of random patterns and fluctuations over time.

Differential equations are often used to model such systems, and numerical methods like 2nd order Runge-Kutta and 4th order Runge-Kutta can be used to solve them. The differential equation given in this to solve this equation using the 2nd order Runge-Kutta method, we need to follow these steps.

Write a conclusion based on the results obtained. The solution for the differential equation dy/dt = y²t using 2nd order Runge-Kutta and 4th order Runge-Kutta methods is more than 250 words, depending on the number of steps taken and the level of detail included in the explanation.

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Answer:

A≈314.16

Step-by-step explanation:

Using percentages, we can deduce that 160 of the 800 attendees at the football and math conference were teenagers or 20% of the total.

In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage.

When determining a percentage of a number, we should first divide it by 100 before multiplying the result by 100.

Therefore, the proportion refers to a component per 100.

The word percent denotes a percentage of 100.

A percentage (%) is a number that represents how many out of 100 it is and can also be written as a decimal or fraction.

To convert a percentage to a fraction, place the percentage's value in the numerator and 100 in the denominator.

So, we are aware of:

The football game attracted 800 spectators.

20% of the population were teenagers.

The number of teens at that time was:

= 800/100*20

= 8*20

= 160

Therefore, using percentages, we can deduce that 160 of the 800 attendees at the football and math conference were teenagers, or 20% of the total.

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Therefore, the inverse Laplace transform of the potential function \(\( H(s) \) is:\( h(t) = 20e^{(-200 + 3090i)t} + 20e^{(-200 - 3090i)t} \)\)

Step 1: Factorize the denominator of \(\( H(s) \):The denominator \( s^2 + 400s + 6290000 \)\) cannot be factored further, so we move to the next step.

Step 2: Express\(\( H(s) \) using partial fractions:\( H(s) = \frac{A}{s - s_1} + \frac{B}{s - s_2} \)\)

To find A and B, we need to solve for the values of s_1 and s_2, which are the roots of the denominator equation \(\( s^2 + 400s + 6290000 = 0 \)\).

Using the quadratic formula, we find that the roots are complex:\(\( s_1 = -200 + 3090i \) and \( s_2 = -200 - 3090i \).\)

Step 3: Substitute the values of s_1 and s_2 into the partial fraction decomposition:

\(\( H(s) = \frac{A}{s - (-200 + 3090i)} + \frac{B}{s - (-200 - 3090i)} \)\)

Step 4: Find the values of A and B:

We multiply both sides of the equation by the denominator to eliminate the fractions and then substitute the values of s_1 and s_2:

\(\( 40(s+200) = A(s - (-200 - 3090i)) + B(s - (-200 + 3090i)) \)\)

Simplifying the equation, we get:

\(\( 40s + 8000 = As + A(-200 + 3090i) + Bs + B(-200 - 3090i) \)\)

Matching the coefficients of like terms, we get the following system of equations:

\(\( A + B = 40 \)\( A(-200 + 3090i) + B(-200 - 3090i) = 8000 \)\)

Solving this system of equations, we find that A = 20 and B = 20.

Step 5: Write the partial fraction decomposition:

\(\( H(s) = \frac{20}{s - (-200 + 3090i)} + \frac{20}{s - (-200 - 3090i)} \)\)

Step 6: Find the inverse Laplace transform using lookup tables:

The inverse Laplace transform of each term can be looked up in the Laplace transform table. The inverse Laplace transform of \(\( \frac{20}{s - (-200 + 3090i)} \) is \( 20e^{(-200 + 3090i)t} \), and the inverse Laplace transform of \( \frac{20}{s - (-200 - 3090i)} \) is \( 20e^{(-200 - 3090i)t} \).\)

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Let's begin by listing out the given information:

We will calcuate using the BODMAS (Bracket Of Division, Multiplication, Addition, Subtraction) operation

Answer:

Step-by-step explanation:

Slope of perpendicular line = \(\frac{-1}{m}\)

       = -1 ÷ \(\frac{-5}{3}\)

        \(= -1 *\dfrac{-3}{5}\\\\=\dfrac{3}{5}\)

Answer:

\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)

Step-by-step explanation:

\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)

The money Jodi will have after selling her shares will be B. $5160.00

What is meant by selling?

Selling typically refers to the exchange of goods or assets for money or other valuable consideration. It is the process of transferring ownership of a product or item from the seller to the buyer in return for an agreed-upon price or value.

What is meant by shares?

Shares refer to units of ownership in a company or corporation. When a company sells shares, it is raising funds from investors who then become shareholders and have a claim on the company's profits and assets.

According to the given information

Jody bought 20 shares of Amazon at $121.00, which costs her 20 x $121.00 = $2420.00.

One year later, she bought 20 more shares at $127.00, which costs her 20 x $127.00 = $2540.00.

The total cost of buying all the shares is $2420.00 + $2540.00 = $4960.00.

Jody sold all her shares two years later at $133.00 per share, which gives her 40 x $133.00 = $5320.00.

Her total profit is $5320.00 - $4960.00 = $360.00.

After deducting the broker's fees, Jody will have $360.00 - $80.00 = $280.00.

Therefore, the correct answer is option B. $5160.00.

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Answer:

20in

Step-by-step explanation:

Answer: 20 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

x          -  age of a son three years ago

3x        -  age of a father three years ago

x + 3      -  age of the son now

3x + 3       -  age of the father now

x + 3 + 5       -  age of the son in five years time

3x + 3 + 5       -  age of the father in five years time

in five years time, the father will be twice as old as his son, so:

3x + 3 + 5 = 2(x + 3 + 5)

3x + 8 = 2x + 16

3x - 2x = 16 - 8

  x = 8

x + 3 + 4       -  age of the son in four years time

8 + 3 + 4 = 15

3x + 3 + 4       -  age of the father in four years time

3×8 + 3 + 4 = 31    

the sum of their ages in four years time:

15 + 31 = 46

Answer:

x2 = 4py

Step-by-step explanation:

Answer:

are those fractions or division signs

Step-by-step explanation:

.........................

Answer:

5/21

Step-by-step explanation:

4/7 - 1/3

12/21 - 7/21

5/21

Best of Luck!

Answer:

$84.75 over budget

Step-by-step explanation:

Barts' budget is 285.75

Bills: 240 + 130.50 = $370.50

(subract by his budget)

370.5 - 285.75 = $84.74

:)

Answer:

Step-by-step explanation:

Let's call hens h and ducks d. The first algebraic equation says that 6 hens (6h) plus (+) 1 duck (1d) cost (=) 40.

The second algebraic equations says that 4 hens (4h) plus (+) 3 ducks (3d) cost (=) 36.

The system is

6h + 1d = 40

4h + 3d = 36

The best way to go about this is to solve it by substitution since we have a 1d in the first equation. We will solve that equation for d since that makes the most sense algebraically. Doing that,

1d = 40 - 6h.

Now that we know what d equals, we can sub it into the second equation where we see a d. In order,

4h + 3d = 36 becomes

4h + 3(40 - 6h) = 36 and then simplify. By substituting into the second equation we eliminated one of the variables. You can only have 1 unknown in a single equation, and now we do!

4h + 120 - 18h = 36 and

-14h = -84 so

h = 6.

That means that each hen costs $6. Since the cost of a duck is found in the bold print equation above, we will sub in a 6 for h to solve for d:

1d = 40 - 6(6) and

d = 40 - 36 so

d = 4.

That means that each duck costs $4.

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 390$

Explanation:

Lets say each drives 9 miles per gallon, and each costs 6.50

540 / 9 = 60

60 x 6.5 = 390$

I hope this helped!

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- Zack Slocum

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1. The probability that exactly 12 students drive to school is 0.169.

2.The probability that more than 15 students drive to school is 0.027.

3. The probability that no more than 10 students drive to school is 0.004.

4. The mean and standard deviation of the sample are 13.6 and 2.4, respectively.

5. The percentage falling within 1 standard deviation of the mean is approximately 68%, which satisfies the empirical rule for normal distributions.

This problem involves the binomial distribution, since each student either drives to school (success) or does not (failure), and the probability of success is given as 0.68 for each student.

(1) The probability that exactly 12 students drive to school is given by the binomial probability mass function:

P(X = 12) \(= (20 choose 12) * (0.68)^12 * (1 - 0.68)^(20 - 12) = 0.169\)

(2) The probability that more than 15 students drive to school is given by the complement of the probability that at most 15 students drive to school:

P(X > 15) = 1 - P(X <= 15) = 1 - sum[(20 choose i) * \((0.68)^i * (1 - 0.68)^{20 - i)}\) for i = 0 to 15.

This is approximately 0.027.

(3) The probability that no more than 10 students drive to school is given by the cumulative distribution function:

P(X <= 10) = sum[(20 choose i) * \((0.68)^i * (1 - 0.68)^{20 - i}\) for i = 0 to 10. This is approximately 0.004.

(4) The mean of the binomial distribution is given by the formula np, where n is the sample size and p is the probability of success.

Thus, the mean is 200.68 = 13.6.

The standard deviation of the binomial distribution is given by the formula sqrt(np(1-p)), which is approximately 2.4.

(5) The percentage falling within one standard deviation of the mean is approximately 68% by the empirical rule, which is the same as the percentage of students who drive to school in the university.

However, the empirical rule applies to normal distributions, and the binomial distribution is not exactly normal.

Nonetheless, for large sample sizes, the binomial distribution can be approximated by a normal distribution using the central limit theorem, which would make the empirical rule applicable.

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Ethan is in the process of constructing an equilateral triangle. So, option(A) is the correct answer.

Circle:

Polygon:

Triangle:

Therefore, Ethan is in the process of constructing an equilateral triangle.

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The complete question is:

Ethan is using his compass and straightedge to complete the construction of a polygon inscribed in a circle. Which polygon is he in the process of constructing?

1. An equilateral triangle

2. A square

3. A regular pentagon

4. A regular hexagon

The system I am evaluating is the performance management system at my current company. I believe that 12 of the 15 characteristics of an ideal system are present in this system. The two characteristics that are not present at all, or barely present, are:

An ideal system refers to a theoretical or conceptual model that represents a perfect or idealized version of a system.

The one characteristic that is clearly present in my company's performance management system is specificity: The performance goals and objectives are very specific, which makes it easy for employees to understand what is expected of them.

The characteristic in my company's performance management system that is furthest from the ideal is openness. To improve alignment between the system and the ideal, I would recommend that the company make the performance management process more open and transparent.

The responsibility for making the performance management system more open would fall to the human resources department. They would need to work with managers and employees to develop a more open and transparent process.

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Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

Answer:

Step-by-step explanation:

Out of all the answer choices, d) 1.327 × 10-31 ng is the only one that matches the calculated value of the mass of a single bromine atom in nanograms. Therefore, d) is the correct answer.

To understand why, we need to convert the mass of a single bromine atom from grams to nanograms.

There are 10^9 nanograms in a single gram, so we can use this conversion factor to make the necessary calculation:
1.327 × 10-22 g x (10^9 ng/1 g) = 1.327 × 10-13 ng

However, none of the answer choices match this value. We need to use scientific notation to convert 1.327 × 10-13 ng into one of the given answer choices.
a) 1.327 × 10-16 mg = 1.327 × 10^-10 ng (since 1 mg = 10^6 ng)
b) 1.327 × 10-25 kg = 1.327 × 10^-4 ng (since 1 kg = 10^12 ng)
c) 1.327 × 10-28 μg = 1.327 × 10^-19 ng (since 1 μg = 10^3 ng)
d) 1.327 × 10-31 ng = 1.327 × 10-31 ng

Out of all the answer choices, d) 1.327 × 10-31 ng is the only one that matches the calculated value of the mass of a single bromine atom in nanograms. Therefore, d) is the correct answer.

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The author develops the connection between Mourne Textiles and the history and culture of Ireland by mentioning that local Irish weavers taught Gerd Hay-Edie how to weave and make the designs. Additionally, the author highlights the significance of the landscape and natural resources in Northern Ireland to the design and production of the textiles.

Hence, the correct answer is option B.

In the article, the author describes how Gerd Hay-Edie learned traditional weaving techniques from local weavers in Northern Ireland, and how she incorporated these techniques into her designs. The author also emphasizes the importance of the Mourne Mountains and the surrounding natural resources in shaping the textiles produced by the company.

Furthermore, the author highlights how the designs and techniques used by Mourne Textiles are rooted in Irish tradition and history. Through these details and examples, the author establishes a strong connection between Mourne Textiles and the history and culture of Ireland.

Hence, the correct answer is option B.

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--The question is incomplete, answering to the question below

"How does the author develop the connection between Mourne Textiles and the history and culture of Ireland?

A. by explaining major historical events in Ireland and how Gerd Hay-Edie took part in them

B. by mentioning that local Irish weavers taught Gerd Hay-Edie how to weave and make the designs

C. by describing Gerd Hay-Edie’s career and how events in Ireland impacted the company

D. by comparing the Norwegian fjords to the Irish landscape and Gerd Hay-Edie’s fashion sense to the typical Irish style" --

Answer: 8 units (7.81 Units without rounding)

Work: To get this answers, you need to know the Pythagorean Theorem. The Pythagorean Theorem is a² + b² = c² (c² being the length you need to find) After you find the answer, you have to square it, and after squaring it, you get the missing length. So, let's plug in the numbers. 5² + 6² = 61. Now we need to √61. After doing so, you get 7.81024..., and if you round half way, you get 7.81 units. But preferably, I like to round fully, and you get 8 units.

I hope this helps, and Happy Holidays! :)

Answer:

The bag will make 432 pieces of popcorn.

Step-by-step explanation:

From the information given, you know that the bag has an average of 450 kernels and that 4% don't pop. So, with this information you can find the pieces of popcorn that the bag will made by calculating 4% of the average number of kernels in a bag and subtracting the result from that amount:

450*4%=18

450-18=432

According to this, the answer is that the bag will make 432 pieces of popcorn.