find the sum of that amount to RS 9144 in 3 years at 9%per year simple interest ​

Answer: C

Step-by-step explanation:

To solve for 12, we can use eliminate or substituion to solve our system of equations. Let's use elimination method.

\(\left \{ {{3f-2k=10} \atop {-3f-2k=14}} \right.\)

Let's add the equations together. This way, 3f+(-3f)=0

\(-4k=24\)                   [divide both sides by -4]

\(k=-6\)

Now that we know k, we can plug it into either equation to find f.

\(3f-2(-6)=10\)        [multiply]

\(3f+12=10\)             [subtract both sides by 12]

\(3f=-2\)                    [divide both sides by 3]

\(f=-\frac{2}{3}\)

Now that we have f and k, we know that C is the correct answer.

Answer:

\(-3\frac{9}{50}\)

Step-by-step explanation:

Hope this helps! :D

Answer: -3 9/50

Step-by-step explanation: it's simple 18 is pit over a hundred since it cannot be put over 10. And -3, the whole number, goes on the outside. 18/2 =9 100/2=50 9/50

\(h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{4a} \)

\(y = a{(x - h)}^{2} + k \)

Where the a-term determines how wide, narrow, upward or downward the graph is.

The h-term determines the horizontal shift of graph. (x-axis)

The k-term determines the vertical shift of graph. (y-axis)

The vertex of graph is at (h,k). We can find the vertex by using the given formulas.

From the equation, the coefficients are:

\( \begin{cases} a = - 1 \\ b = 12 \\ c = - 31 \end{cases}\)

Substitute these values in the formulas.

Find the value of h

\(h = - \frac{12}{2( - 1)} \\ h = - \frac{12}{ - 2} \\ h = - \frac{ - 6}{1} \longrightarrow - ( - 6) = 6 \\ h = 6\)

Hence, the value of h is 6.

Find the value of k

\(k = \frac{4( - 1)( - 31) - {(12)}^{2} }{4( - 1)} \\ k = \frac{124 - 144}{ - 4} \\ k = \frac{ - 20}{ - 4} \longrightarrow \frac{5}{1} = 5 \\ k = 5\)

Hence, the value of k is 5. Then we substitute both value of h and k in the vertex form

\(y = a {(x - h)}^{2} + k \\ y = - 1 {(x - 6)}^{2} + 5 \\ y = - {(x - 6)}^{2} + 5\)

Since the vertex is at (h,k). Therefore the value of h is 6 and k is 5. Therefore:

\( \large{(h, k)=(6, 5)}\)

(6,5) is the vertex.

Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

Answer:

i.formula= current unit subtract previous unit

Answer:

C

Step-by-step explanation:

It is straight to the point and very factual, more than the others.

Answer:

$6.50

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

145 degrees

Step-by-step explanation:

A line is 180 degrees total. So solve by using this equation:

180 - 35

You get 145.

Have a great rest of your day!

Answer:

The answer is 145.

Step-by-step explanation:

BCD is a straight line, and the line AC makes a 35-degree angle with the line. We know that a straight line is equivalent to 180 degrees, so we simply subtract 35 from 180.

180 - 35 = 145 degrees

Answer:

167.9166459

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

2(x-8)=x+5x

Combine like terms

2(x-8) = 6x

Divide by 2

2(x-8)/2 = 6x/2

x-8 = 3x

Subtract x from each side

x-8-x = 3x-x

-8 = 2x

Divide by 2

-8/2 = 2x/2

-4 =x

Answer:

78

Step-by-step explanation:

To compute (f.g)(5.5) , first compute g(5.5) , then use that value in f(x) to compute the composite function value

g(5.5) = -12(5.5) - 6 = -66 - 6 = -72

Use this value for x in f(x) = -x + 6

f(g(5.5)) = f(-72) = -(-72) + 6 = 72 + 6 = 78

If |q| = 5 at an angle of 45° and |r| = 16 at an angle of 300°. then the

|q – r| will be 18.0

To find |q - r|, we need to subtract the complex numbers q and r after which discover the magnitude (or absolute value) of the end result.

First, we want to express q and r in rectangular form, which means that finding their actual and imaginary additives:

For q, we've:

|q| = 5 at an perspective of 45°

Re(q) = |q| cos(45°) = five cos(45°) = 5/√2

Im(q) = |q| sin(45°) = 5 sin(45°) = 5/√2

So q = (5/√2) + (5/√2)i

For r, we have:

|r| = 16 at an angle of 300°

Re(r) = |r| cos(300°) = 16 cos(300°) = sixteen(-√3/2) = -8√three

Im(r) = |r| sin(300°) = 16 sin(300°) = -8

So r = -8√three - 8i

Now we are able to discover q - r by using subtracting the actual and imaginary additives:

q - r = (5/√2) + (5/√2)i - (-8√3 - 8i)

= (5/√2) + 8√3 + (5/√2 + 8)i

To discover |q - r|, we want to take the importance of this complex number:

|q - r| = √[(5/√2 + 8√3)² + (5/√2 + 8)²]

= √[25/2 + 80√3 + 192 + 50/2 + 40 + 64]

= √[125/2 + 80√3 + 256]

= √[625/4 + 320√3 + 1024]

= √[(25/2 + 16√3)²]

= 25/2 + 16√3

≈ 18.0

Hence, |q - r| is about equal to 18.0.

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Answer:

Rational

Step-by-step explanation:

A rational number is a number that can be written as a fraction.

Hope this helps. Plz give brainliest.

Answer: y = -(5/3)x + 8

I assume (6,-2)(6,−2) is actually just (6,−2).

Step-by-step explanation:

A parallel line will have the same slope as the reference line.  Rewite the reference line equation into y=mx+b format:

5x+3y=6

3y = -5x+6

y = -(5/3)x + 6

The parallel line we want will have the same slope, -(5/3):

y = -(5/3)x + b

b will be different since we want this new, parallel, line to go through point (6,-2), so it must be moved to accomodate this point.  Find the value of b we need by entering the point into the new equation and solving for b.

y = -(5/3)x + b  for point (6,-2)

-2 = -(5/3)(6) + b

-2 = -10 + b

b = 8

y = -(5/3)x + 8

Answer:

look at the explanation

Step-by-step explanation:

Write an equation:

Trash a way : $25 + 0.25x

Garbage No More : $45 per month

so to make them equal we need to have enough trash in Trash A Way that it equals $45

25  + 0.25x =45

0.25x = 20

x = 80

So, you need to have 80 pounds of trash to make them equal

hope this helps!

please vote and heart!

Explanation

We are required to obtain the first five terms of the sequence below:

This can be achieved by substituting for n, the values 1, 2, 3, 4, and 5. This is shown below:

Hence, the answers are:

a₁ = 7/3

a₂ = 7/2

a₃ = 21/5

a₄ = 14/3

a₅ = 5

One game that fits the description is a deck-building card game called "RandomQuest." In this game, each player creates their own unique character at the beginning by selecting different attributes, abilities, and starting equipment. These choices determine the character's overall strength and capabilities.

During gameplay, players are dealt a hand of random item cards from a shared deck. These item cards represent weapons, armor, spells, potions, and other useful items that the character can utilize. The goal is to strategically use these item cards to overcome challenges and defeat enemies.

The outcome of each encounter is determined by a combination of factors, including the player's character attributes, the chosen item cards, and the random elements introduced by the game mechanics. Each item card has specific effects and values, such as attack power, defense bonuses, or special abilities, which contribute to the character's overall performance.

To calculate the chances of winning, players must consider the strength of their character, the capabilities of their opponents, and the potential synergies between the item cards they possess. They should strategically choose which item cards to play in each encounter, considering factors like the enemy's weaknesses, their own character's strengths, and the potential risks and rewards of each card.

"RandomQuest" is a deck-building card game where players use randomly assigned item cards to win encounters and overcome challenges. Through strategic decision-making and synergistic card combinations, players can maximize their chances of success and achieve victory.

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The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.

To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.

Now, integrating the inner integral with respect to x, we get:

∫ (x² + y²)dx = (1/3)x³ + y²x + C1,

where C1 is the constant of integration.

Next, we integrate the resulting expression with respect to y:

∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,

where C2 is another constant of integration.

Finally, we evaluate this double integral over the given region by substituting the limits of integration:

∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.

Performing the integration, we can find the numerical value of the double integral within the given region.

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The ordered pairs which give the solutions of the system of equations are (-4, 1) and (-8, 9)

In order to determine the ordered pairs which give the solutions of the system of equations in a linear-quadratic graph, you need to find the points of intersection of the line and curve from the graph.

Then trace to the x and y-axes to find the ordered pairs values (Check the image attached)

Thus, the ordered pairs are (-4, 1) and (-8, 9)

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Answer:

3.1429 or 3 1/7

Step-by-step explanation:

22/7 = 3.1429 or 3 1/7

Answer:

True

Step-by-step explanation:

Answer:

The green box by 0.234kg of sugar

Step-by-step explanation:

Given data

The green box weight= 1.26 kg

The red box weight=  1.026 kg

comparing the two values

the green box contains 0.234kg more sugar

=1.26-1.026

=0.234kg

The statement that best defines quantitative research is Quantitative research explains a phenomenon by means of collecting numerical data through surveys and observation and analyzing the data with statistical procedures. Option d is correct.

Quantitative research is a type of research that involves the collection of data that can be analyzed numerically. It involves the collection and analysis of data using mathematical and statistical tools. This type of research is often used in the social sciences, such as psychology, sociology, and economics.

Quantitative research is objective in nature and involves collecting data that can be quantified. This type of research is often used to answer research questions that can be measured numerically, such as the number of people who use a particular product or service.

Quantitative research is a systematic, empirical approach to research that involves the collection of numerical data. This data is then analyzed using statistical procedures to draw conclusions about the research question or hypothesis being tested.

Therefore, d is correct.

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The number of ways to choose a dance committee of 8 students is 6,096,454 ways.

The number of ways to choose a dance committee with 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors is 1,134,000 ways.

The number of ways to choose a dance committee with 4 juniors and 4 seniors is 12,870 ways.

The probability of selecting a committee consisting of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors is 0.186.

The probability of selecting a committee consisting of 4 juniors and 4 seniors is 0.002.

To solve these problems, we can use the concept of combinations. The number of ways to choose k items from a set of n items is given by the binomial coefficient, also known as "n choose k," denoted as C(n, k) or nCk.

In general, the formula for the binomial coefficient is:
C(n, k) = n! / (k! * (n - k)!)

Now, let's solve each problem:

In how many ways can a dance committee of 8 students be chosen?
We have a total of 35 eligible students (8 freshmen + 10 sophomores + 9 juniors + 8 seniors). To choose a committee of 8 students, we need to calculate C(35, 8):
C(35, 8) = 35! / (8! * (35 - 8)!)
= 35! / (8! * 27!)
Therefore, the number of ways to choose a dance committee of 8 students is:
35! / (8! * 27!) = 6,096,454 ways

In how many ways can a dance committee be chosen if it is to consist of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors?
We need to choose 2 students from each category. The number of ways can be calculated by multiplying the number of ways to choose 2 students from each category:
C(8, 2) * C(10, 2) * C(9, 2) * C(8, 2)
Therefore, the number of ways to choose a dance committee with 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors is:
C(8, 2) * C(10, 2) * C(9, 2) * C(8, 2) = 1,134,000 ways

In how many ways can a dance committee be chosen if it is to consist of 4 juniors and 4 seniors?
We need to choose 4 juniors from the 9 available and 4 seniors from the 8 available. The number of ways can be calculated as:
C(9, 4) * C(8, 4)
Therefore, the number of ways to choose a dance committee with 4 juniors and 4 seniors is:
C(9, 4) * C(8, 4) = 12,870 ways

Probability of selecting a committee consisting of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors.
To find the probability, we need to divide the number of ways to choose the desired committee (as calculated in question 2) by the total number of ways to choose a committee of 8 students (as calculated in question 1):
Probability = (Number of ways to choose the desired committee) / (Total number of ways to choose a committee of 8 students)
Therefore, the probability of selecting a committee consisting of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors is:
1,134,000 / 6,096,454 ≈ 0.186

Rounded to the nearest thousandth, the probability is approximately 0.186.

Probability of selecting a committee consisting of 4 juniors and 4 seniors.
Similarly, to find the probability, we divide the number of ways to choose the desired committee (as calculated in question 3) by the total number of ways to choose a committee of 8 students (as calculated in question 1):
Probability = (Number of ways to choose the desired committee) / (Total number of ways to choose a committee of 8 students)
Therefore, the probability of selecting a committee consisting of 4 juniors and 4 seniors is:
12,870 / 6,096,454 ≈ 0.002

Rounded to the nearest thousandth, the probability is approximately 0.002.

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Answer:

C) 2,2,2.82842712

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

Side lengths of 4, 8, and 12 do not form a right triangle. According to the Pythagorean Theorem, a² + b² = c². In this theorem, "c²" represents the largest side (c) squared

The 14th term of the arithmetic sequence x-1x−1, 7x-77x−7, 13x-13, ...13x−13,... is  -79.

The nth term of a particular arithmetic sequence can be found by,  an = a + (n – 1)d. So in order to find the nth term, substitute the given values \(a_{1}\) and d  into the formula. So to find the 14th term, substitute n = 14 into the equation which is the nth term.

Given,

 \(a_{1}\)= x-1x-1

 \(a_{2}\)= 7x-77x−7

 \(a_{3}\)= 13x-13

 n=  14

We have to find the common difference d from differences in adjacent terms \(a_{1}\),\(a_{2}\),\(a_{3}\) . That is,

\(a_{2}-a_{1} =a_{3} -a_{2}\)

\(7x-77x-7-(x-1x-1)=13x-13-(7x-77x-7)\)

\(7x-77x-7-x+x+1=13x-13-7x+77x+7\\-70x-8x=-6+6\\-78x=0\\ x=0\)

Put x=0 in x-1x-1, 7x-77x-7, 13x-13

Therefore,

\(a_{1}\) = -1

\(a_{2}\) = -7

\(a_{3}\) = -13

Then,  d will be \(-7-(-1)\) or \(-13-(-7)\)

So, d= -6

Put  \(a_{1}\), d, and n in the equation \(a_{n} =a+(n-1)d\)  to find the 14th term.

Therefore,

\(a_{14}=-1+(14-1)-6\\ =-1-78\\=-79\)

The 14th term of the given arithmetic sequence is -79

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