solve the system of equations -4x- y = -18 and 2x + 3y = 24 by combining the equations

Answer:

The bearing of B from A is 335 Degrees

Step-by-step explanation:

Measure bearings clockwise.

Bearings are measured from the North line.

There are 25 degrees between B and North.

360 Degrees in a circle.

360 - 25 = 335

The length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

We have:

Frankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft.

From the Pythagoras theorem:

Perpendicular(P) = 32 ft

Base(B) = 20 ft

H = √(32²+20²)

H = √1424

H = 37.7 ft

Thus, the length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.

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Answer:

D) 37.7

Proof:

When the amplitude of the oscillator gradually decreases with time, we say it is a damped oscillator. The oscillator's behavior is said to be undamped if the amplitude remains the same over time.

Suppose that both the undamped and damped systems are set in motion with the initial conditions

y(0) = y0 and y′(0) = v0.

The amplitude of the damped response is half that of the amplitude of the undamped response at a time t equal to: t = (1/ωd)ln(A0/A0d), where A0 is the amplitude of the undamped response, A0d is the amplitude of the damped response, and ωd is the damped angular frequency.

What is a damped oscillator?

A damped oscillator is an oscillator that gradually loses energy over time as a result of the energy dissipation mechanism present in the oscillator.

A spring-mass system immersed in a viscous fluid, a pendulum and a guitar string are examples of oscillatory systems. When the amplitude of the oscillator gradually decreases with time, we say it is a damped oscillator. The oscillator's behavior is said to be undamped if the amplitude remains the same over time.

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The corrected statement should look like this:
```java
int[] hours = {8, 12, 16};
```

It looks like you are trying to create an integer array in Java called "hours" and initialize it with the values 8, 12, and 16. The given statement has incorrect syntax.
Declare the integer array using "int[]" followed by the variable name "hours".

This tells the Java compiler that you want to create an array of integers called "hours".
Use the assignment operator "=" to assign values to the array.
Enclose the values you want to assign to the array within curly braces "{" and "}" and separate each value with a comma.
The corrected statement should look like this:
```java
int[] hours = {8, 12, 16};
```
Now, the "hours" integer array is initialized correctly with the given values.

The syntax for declaring and initializing an integer array in Java is:

```java
data Type[] array

Name = {value1, value2, value3, ...};
```
In this case, "data Type" is "int", "array

Name" is "hours", and the values are 8, 12, and 16.
Remember to keep your code clean and concise to avoid syntax errors and make it easier for others to understand.

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Answer:

Step-by-step explanation:

We know that a rhombus is a quadrilateral with four sides. All four sides have the same length.

From the diagram, it is clear that

As all the four sides of the rhombus have equal length.

So we can observe

\(VW=WX\)

\(6m-12 = 4m+4\)

Add 12 to both sides

\(6m-12+12=4m+4+12\)

\(6m=4m+16\)

\(2m=16\)

Divide both sides by 2

\(\frac{2m}{2}=\frac{16}{2}\)

\(m=8\)

so

The length of VW= 6m-12

                             = 6(8)-12  ∵ \(m=8\)

                              = 48-12

                              = 36

Thereofore, the length of VW = 36 units.

Answer:

\(14.2857\) % of a weeks visitor come to the website on an average day

Step-by-step explanation:

Visitors on the website per day \(= 800\)

Visitor on the website in seven day \(= 800*7\)

Percent of visitor on any average to the total visitors in a week

\(= \frac{800}{800*7} *100\\= \frac{100}{7}\\= 14.2857\)

Answer:

Step-by-step explanation:

First national bank gives:

$5,449.03 after 4 years being compounded annually at a rate of 2.15%

First federal bank gives:

$5,468.12 after 4 years at a rate of 2.25%

Please let me know if I did anything wrong. I will immediately fix my mistakes :)

Answer:

please i need educere answers

Step-by-step explanation:

i have one day left and i cannot finish please reply with any way to contact you

Answer:

When we say that an allele is "fixed," it means that a particular allele has reached a frequency of 100% in a population.

Step-by-step explanation:

Alleles are different forms of a gene that occupy the same position on homologous chromosomes. In a population, different alleles can exist for a specific gene. However, through various evolutionary processes such as natural selection, genetic drift, or gene flow, one allele may become predominant and eventually fixate within the population.

The fixation of an allele can occur through different mechanisms. For example, if a beneficial allele provides a selective advantage to individuals carrying it, it is more likely to increase in frequency and eventually become fixed in the population. On the other hand, genetic drift, which is the random change in allele frequencies due to chance events, can also lead to the fixation of an allele, especially in small populations.

Once an allele is fixed in a population, it means that all future generations will inherit that allele, and no alternative alleles will be present at that particular gene locus.

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Answer:

\(y\leq 2x+5\)

This represents slope intercept form: y = mx + b

Step-by-step explanation:

\(2x - y \geq -5\\2x+5\geq y\)

The solution of (1/3x) -6 = -7 will be -1 / 3.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is (1/3x) -6 = -7. The expression will be solved as below:-

(1/3x) -6 = -7

1 / 3x = -7 + 6

1 / 3x = -1

x = -1 / 3

Hence, the solution of the expression for the value of x will be -1 / 3.

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The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:

2) Divide 25 by 462.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of people is given as follows:

58 + 164 + 215 + 25 = 462.

Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:

25/462.

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The number of teams in the field hockey championship tournament is 16.

The total number of matches played in the field hockey championship are 120 matches.

Each pair of team played one match with each other.

So, let us say that there are N teams in the tournament.

So, we can chose any two teams for a match,

So, applying the permutation formula,

ⁿC₂ = 120

Solving further,

N!/2!(N-2)! = 120

N(N-1)/2 = 120

N(N-1) = 240

On observing closely and applying hit and trial method,

16(15) = 240

So, the values of N is 16.

Hence, 16 teams participated in the tournament.

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On solving the provide outlier question, we can say that The difference between the upper and lower fourth makes up the fourth outlier (h) = 73.7 - 22.2 = 51.5

Outliers are data points that deviate from the distribution's typical pattern. a value that is "outside" of the record's typical range (either significantly lower or substantially greater). For instance, both 3 and 85 are "outliers" when the scores are 25, 29, 3, 32, 85, 33, 27, 28, etc. Move away. Look for values that are significantly larger or significantly smaller than all other values to identify outliers. Because it is significantly smaller range than all other values, Value 4 is an outlier. An observation that differs unusually from other values in a population sample taken at random is referred to as an outlier.

Here,

a) The data values should now be sorted from smallest to largest:

22.2 40.4 16.4 73.7 36.6 109.9

b) The sorted data set's median is its middle value. The median is the sixth data value in the sorted data set because there are 11 data values total:

m = 36.6

c) The median of the data values below the median, or at 25% of the data, is in the lower fourth.

The lower fourth is the third data value because there are 5 data values below the median.

d) The data value 6 + 3 = 9 represents the third quartile.

Q{3} 73.7

The difference between the upper and lower fourth makes up the fourth outlier (h):

73.7 - 22.2

51.5

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9(5 - y)

EXPLANATION

Difference means subtraction.

This implies that the difference of 5 and y can be expressed as 5 - y.

Hence, nine times the difference of 5 and y can be represented as:

9(5 - y)

The aggregate quantity of the good that Ron and Nancy buy is 6 units.

To find the aggregate quantity, we need to determine the equilibrium quantity where the demand and supply functions intersect. The demand functions for Ron and Nancy are given as \(D_{R}\): \(Q_{R}\)= 8 - 2\(P_{R}\)  and \(D_{N}\): \(Q_{N\) = 7 - \(P_{N}\), respectively. The supply function is S: Q = -1 + P.

To find the equilibrium quantity, we set the quantity demanded equal to the quantity supplied:

\(Q_{R}\) + \(Q_{N\) = Q

Substituting the demand and supply functions, we have:

(8 - 2\(P_{R}\) ) + (7 - \(P_{N}\)) = -1 + P

Simplifying the equation, we get:

15 - 2\(P_{R}\)  - \(P_{N}\) = -1 + P

Rearranging the equation, we have:

\(P_{R}\)  + \(P_{N}\) + P = 16

Since the total price is equal to 16, we know that the aggregate quantity is equal to the sum of the quantities demanded:

Q = \(Q_{R}\) + \(Q_{N\) = (8 - 2\(P_{R}\) ) + (7 - \(P_{N}\)) = 15 - 2\(P_{R}\)  - \(P_{N}\)

Substituting the values of \(P_{R}\)  = \(P_{N}\) = 5 into the equation, we find:

Q = 15 - 2(5) - 5 = 6

Therefore, the aggregate quantity of the good that Ron and Nancy buy is 6 units.

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Answer and Step-by-step explanation:

The answer is parallelograms.

This is because they all have 4 sides and have 2 pairs of parallel sides, which is enough to say that it is a parallelogram.

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

As,

In the picture there is a parallelogram, rhombus, rectangle and a square.

We know,

Properties of parallelogram:-

All the above conditions are also same In a rhombus, rectangle and a square.

Hence,

Parallelogram best describes all the above shapes

Answer:

Deductive Reasoning

Step-by-step explanation:

Answer:

8 x (x+5) should be the answer I think

Answer:

8x+40

Step-by-step explanation:

Since area is equal to length times width, you can find the expression for area by plugging in the length and width given in the problem.

You know the length is 8 and width is x+5 from the picture, so for the area you need to simplify the expression 8(x+5), which is the same as 8x+40

There is an 8.1% probability that any given distance will exceed 212.50 cm.

A probability is a numerical representation of the likelihood or chance that a specific event will take place.

Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

I frequently remind kids that we can express probabilities as ratios, percentages, fractions, or decimals so they are aware of the variety of ways we express odds.

So, the probability that the individual distance is greater:

z = 212.50-200/8.9 = 1.4

Looking up 1.4 in the normal distribution table:

P(z>1.4) = 1 - 0.9192 = 0.0808

= 8.1%

Therefore, there is an 8.1% probability that any given distance will exceed 212.50 cm.

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Complete question:
The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.9 cm.

a. find the probability that an individual distance is greater than 212.50 cm.

Answer: Umm i think one if u skip one number the sequence is like 6, 8, 10, 12, 14 which is adding by two.

The other one, 5, 13, 21, 29 is adding 8 to each number.

Im just guessing here sorry.

Plz mark brainliest:)

Here, we are required to figure out the number sequence 6, 5, 8, 13, 10, 21, 12, 29, 14.

The observation in the sequence is as follows;

By observation, the number sequence contains 9 terms. 4 even Nth term, and 5 odd Nth term.

For the even Nth terms, which are: 5, 13, 21, and 29.

For the odd Nth terms, which are: 6, 8, 10, 12, and 14.

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The kinetic energy of the Mars Climate Orbiter spacecraft is approx    3.31 x 10^7 joules.

To determine the kinetic energy of the Mars Climate Orbiter spacecraft, we can use the formula:

Kinetic energy = (1/2) * mass * velocity^2

Given:

Mass of the spacecraft (m) = 629 kg

Velocity of the spacecraft (v) = 1.20 x 10^4 km/h

First, we need to convert the velocity from km/h to m/s:

1 km = 1000 m

1 h = 3600 s

Velocity in m/s = (1.20 x 10^4 km/h) * (1000 m/km) / (3600 s/h) ≈ 333.33 m/s

Now, we can calculate the kinetic energy:

Kinetic energy = (1/2) * (629 kg) * (333.33 m/s)^2

Kinetic energy ≈ 3.31 x 10^7 joules

Therefore, the kinetic energy of the Mars Climate Orbiter spacecraft is approximately 3.31 x 10^7 joules.

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ANSWER:

STEP-BY-STEP EXPLANATION:

The mean number of observations per unit time is approximately 8.5.

The mean number of observations per unit time can be calculated using the Poisson distribution formula, which is:

P(X = k) = (e^-λ * λ^k) / k!

where λ is the mean number of occurrences per unit time.

If we know that p(8)-p(9), it means that we have the following probability:

P(X = 8) - P(X = 9) = (e^-λ * λ^8) / 8! - (e^-λ * λ^9) / 9!

We can simplify this expression by multiplying both sides by 9!:

9!(P(X = 8) - P(X = 9)) = (9! * e^-λ * λ^8) / 8! - (9! * e^-λ * λ^9) / 9!

Simplifying further:

9!(P(X = 8) - P(X = 9)) = λ^8 * e^-λ * 9 - λ^9 * e^-λ

We can solve for λ by trial and error or by using numerical methods such as Newton-Raphson. Using trial and error, we can start with a value of λ = 8 and check if the left-hand side of the equation equals the right-hand side:

9!(P(X = 8) - P(X = 9)) = 8^8 * e^-8 * 9 - 8^9 * e^-8 ≈ 0.00062

This is a very small number, so we can try a higher value of λ, such as 9:

9!(P(X = 8) - P(X = 9)) = 9^8 * e^-9 * 9 - 9^9 * e^-9 ≈ -0.00011

This is closer to zero, so we can try a value between 8 and 9, such as 8.5:

9!(P(X = 8) - P(X = 9)) = 8.5^8 * e^-8.5 * 9 - 8.5^9 * e^-8.5 ≈ 0.00026

This is even closer to zero, so we can conclude that the mean number of observations per unit time is approximately 8.5.

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There are 70 ways to split 8 people into two teams of 4. There are 1680 ways to split 9 people into 3 teams of 3. There are 945 ways to choose 2 teams of 4 from 10 prospects.

To find the number of ways to split 8 people into two teams of 4, we can first choose the first team in $\binom{8}{4} = 70$ ways, and the second team will be the remaining 4 people.

To split 9 people into 3 teams of 3, we can first choose the first team in $\binom{9}{3} = 84$ ways. After this, we are left with 6 people, from which we choose the second team in $\binom{6}{3} = 20$ ways. The final team will be the remaining 3 people.

To choose 2 teams of 4 from 10 prospects, we can first choose the first team in $\binom{10}{4} = 210$ ways. After this, we are left with 6 people, from which we choose the second team in $\binom{6}{4} = 15$ ways. However, since the order in which we choose the two teams does not matter, we must divide by 2 to get the final answer of $\frac{210 \cdot 15}{2} = 945$.

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Step-by-step explanation:

sin(0) = 0.

sin^2(0) = sin(0) × sin(0) = 0 × 0 = 0.

∴ sin(0) / 1 - sin^2(0) = 0 / 1 - 0

= 0 / 1

= 0.

On solving the provided question, we can say that the sum of the two expressions will be -4n + 6

It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: (Mathematical Operator, Number/Variable, Expression) A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)It is possible to compare expressions and phrases.

Expression, Number/Variable, and Mathematical Operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted.

let the two expression be

-4nand 6 and the sum will be -4n + 6

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Answer:

Length of the side of the square is 12 cm.

Step-by-step explanation:

Given information:

\(\text{side}_1 = 8a \text{ cm (side of a rectangle)}\\\text{side}_2 = 7a \text{ cm (side of a rectangle)}\\P_\text{rec} = 42 + P_\text{sq} \text{ cm } (P_\text{rec} \text{ is perimeter of the rectangle and } \\P_\text{sq} \text{ is the perimeter of the square)}\\\text{side}_\text{sq} = 4a \text{ cm (side of a square)}\)

Our mission is to find the length of the side of the square. We know that the side of the square is 4a cm, so to be able to answer we have to find the value of a first.

Step 1: Finding the value of a

Key to finding the value of a is the perimeter of the rectangle. Notice that we can calculate the perimeter of the rectangle in two different ways.

One way was given in the question:
\(P_\text{rec} = 42 + P_\text{sq}\)

We want equations in terms of a, so we can calculate a. Perimeter of the square can be calculated as:

\(\text{perimeter}_\text{square} = 4 \times \text{side}\)

Substituting the values in equation:

\(P_\text{sq} = 4 \times 4a\\P_\text{sq} = 16a\)

Therefore the first equation for perimeter of the rectangle becomes:

\(P_\text{rec} = 42 + P_\text{sq}\\\fbox{\begin{test}P_\text{rec} = 42 + 16a\end{test}}\)

For the second way we use formula for the perimeter of rectangle which is:
\(\text{perimeter}_\text{rectangle} = 2 \times \text{width} + 2 \times \text{length}\)

Substituting the values in equation:
\(P_\text{rec} = 2 \times 7a + 2 \times 8a\\P_\text{rec} = 14a + 16a\\\fbox{\begin{test}P_\text{rec} = 30a\end{test}}\)

Now let's equate both perimeters of the rectangle.

\(P_\text{rec} = P_\text{rec}\\42+16a = 30a\\42 =14a\\3 = a\)

Step 2: Find the length of the side of the square

It's given that side of the square is 4a cm. All we have to do is substituting a with its value, which we got in the previous step.

\(\text{side}_\text{sq} = 4a\\\text{side}_\text{sq} = 4(3)\\\text{side}_\text{sq} = 12 \text{ cm}\)