a man bought second hand bicycle for rs 1120 and spend rs160 to repair it. he sold it for rs1344, find his profit or loss percent ​

\(\displaystyle \left \{\begin{array}{ccc} 2y=x-12 \\\\y=2x^2+3x-4 \end{array } \right. \Rightarrow \begin{cases} y =\dfrac{x-12}{2} \\\\ 2x^2+3x-4=\dfrac{x-12}{2} \end{cases } \Rightarrow \\\\\\ 2x^2+3x-4=\frac{x-12}{2} \\\\4x^2+6x-8=x-12 \\\\4x^2+5x+4=0 \\\\ \rm D=25-4\cdot 4\cdot 4=-39 \\\\D<0 \ \displaystyle \Rightarrow\varnothing \\\\Answer : \large \boldsymbol{} \sf (x ; y) \notin \mathbb R\)

To find g(-2), we'll substitute -2 for x in the equation g(x) = -4x² - 5x + 9. So,g(-2) = -4(-2)² - 5(-2) + 9g(-2). The value of g(-2) is -6.

To find g(-2), substitute -2 for x in the equation

g(x) = -4x² - 5x + 9 to get

g(-2) = -6 + 9g(-2)

We are given three functions as follows:

f(x) = (1/3)x - 5, g(x)

= -4x² - 5x + 9, and

h(x) = 1/(x - 8) + 3.

We are asked to find g(-2), which is the value of g(x) when x = -2.

Substituting -2 for x in the equation g(x) = -4x² - 5x + 9, we get

g(-2) = -4(-2)² - 5(-2) + 9.

This simplifies to g(-2) = -16 + 10 + 9 = -6.

Hence, g(-2) = -6.

The value of g(-2) is -6.

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26 city blocks

Hence, the actual distnce between the city Hall and library is 26 city blocks apart

The Monday and Tuesday attendance are illustrations of proportions.

Tuesday's attendance is larger than Monday's 7500

The given parameters are:

\(\mathbf{Monday = 4 \times 10^2}\)

\(\mathbf{Tuesday = 3 \times 10^6}\)

The number of times (n) the Tuesday attendance is larger than Monday's is:

\(\mathbf{n = \frac{Tuesday}{Monday}}\)

So, we have:

\(\mathbf{n = \frac{3 \times 10^6}{4 \times 10^2}}\)

\(\mathbf{n = 0.75 \times 10^{6-2}}\)

\(\mathbf{n = 0.75 \times 10^{4}}\)

\(\mathbf{n = 7500}\)

Hence, Tuesday's attendance is larger than Monday's 7500

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To answer this question, we can use the standard normal distribution to find the probability for x > 120. We can proceed as follows:

1. We need to find the z-score for the given raw value of 120.

2. We know that the z-score is given by:

Where

• x is the raw value (x = 120).

• μ is the population's mean. In this case, μ = 109.

• σ is the population standard deviation. In this case, σ = 11.

Therefore, we have that the z-score is:

We can see that the value for z = 1. It means that the value is one standard deviation above the mean of the population.

If we use a cumulative standard normal distribution table, and we find the value for z = 1, we will have a cumulative probability of:

However, we are looking for P(z > 1). Therefore, to find this value, we can proceed as follows:

Therefore:

We need to remember that this value of z is a "transformation" of the value 120 into the standard normal distribution.

In summary, we can say that:

If Naya is filling up the gas tank in her motorcycle she puts 4.145 gallons of gas in the tank if the gas cost $2.57 per gallon then she spend $10.65

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given,

The cost of one gallon of gas =$2.57

The quantity of gas she puts in the tank = 4.145 gallons

Apply unitary method

Then, the cost of 4.145 gallons of gas = Cost of one gallon of the gas × Quantity of gas

The cost of 4.145 gallons of gas= 2.57×4.145= $10.65

Hence, If Naya is filling up the gas tank in her motorcycle she puts 4.145 gallons of gas in the tank if the gas cost $2.57 per gallon then she spend  $10.65

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The average interest rate does he pay on the total $32,000 he owes is 9. 5%

From the information given, we have that;

Given the total pay he owes as;

= $22, 000 +$ 10, 000

= $32, 000

The average interest rate is expressed as;

= sum of interest rate for college loan and car/ number of interest rate

Substitute the values

= 8 + 11/ 2

= 19/ 2

Find the quotient

= 9. 5%

Thus, the average interest rate does he pay on the total $32,000 he owes is 9. 5%

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The correct option is A) $1.02/L.

To convert from gallons to liters, we need to use the conversion factor 1 gallon = 3.78541 liters.

A number used to multiply or divide one set of units into another is called a conversion factor. At the point when a transformation is important, the proper change element to an equivalent worth should be utilized.

However, in this question, we are given the conversion factor of 1 liter = 1.06 quarts. So we can use this to convert from gallons to liters:

1 gallon = 3.78541 liters

1 quart = 0.25 gallons

1 quart = 0.25 x 3.78541 liters = 0.94635 liters

1 liter = 1/1.06 quarts = 0.9434 quarts

So, the cost per liter of gasoline is:

  $3.85/gallon x 1 gallon/3.78541 liter

= $1.017/liter

Rounding to two decimal places, the answer is:

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The correct answer is D. After the loop, the last row of matrix is 0, 0, 0, 0, 10.

This is because the code initializes a 5x5 matrix with all elements set to 0. Then, the for loop iterates over the length of the last row (which is 5), and sets the values in the last row to 10. However, the loop also has a semicolon immediately after the condition, which effectively terminates the loop before it even starts executing the loop body.

Therefore, only the initialization statement (which does nothing) and the semicolon are executed, leaving the rest of the matrix unchanged except for the last element in the last row, which is set to 10.

In computer programming, an initialization statement is a statement used to set an initial value to a variable or constant when it is declared. This is typically done to ensure that the variable or constant starts with a known and expected value, and to avoid any unpredictable behavior that may result from uninitialized data.

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Answer:

$3.95m + $8.95b = 47.65

Step-by-step explanation:

I think I don't it right but if not sorry

1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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Answer:

\(5mn^{2} (2+ 5m^{2} n)\)

Step-by-step explanation:

I assumed the polynomial is \(10mn^{2} +25m^{3}n^{2}\)

FIRST: Highlight the common factors{ 5 , m and\(n^{2}\))

\(5mn^{2} (2+ 5m^{2} n)\)

In the textbook, this arrangement is referred to as "flextime" or "flexible working hours."

Flextime is a work arrangement that allows employees to have control over their work schedule within certain core hours. In this case, the core hours are between 10 a.m. and 3 p.m., during which all employees are required to be present at work. However, employees have the flexibility to choose their additional working hours either before or after the core hours.

Flextime offers employees the freedom to adjust their work schedule to accommodate personal obligations, preferences, or other commitments outside of work. It recognizes that individuals have different peak productivity hours and work-life balance needs. By allowing employees to choose their additional working hours, it promotes autonomy and can contribute to increased job satisfaction and work-life integration.

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Answer:

$2122.17 (correct to the nearest cent).

Explanation:

To find the amount after 5 years, we use the compound interest formula below:

Substitute the given values:

After 5 years, you will have $2122.17 (correct to the nearest cent).

Answer:

Step-by-step explanation:

the nearest 10 thousandth position is 7. So rounded to the nearest 10000 would by 70000.

Why?

Because the 1 is less than 5 and that does does not alter the 7 in any way.

The differential equation that models this situation is dx/dt = kx(M - x) (option c).

To determine the differential equation that models the situation, let's analyze the problem statement.

The rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized.

Let's denote the number of words memorized as "a" and the number of words not yet memorized as "M - a" (where M is the total number of words in the list).

The problem states that the rate of memorization is proportional to the product of "a" and "M - a". We can express this mathematically as:

Rate of memorization ∝ a * (M - a)

To convert this proportionality into an equation, we introduce a positive constant k:

Rate of memorization = k * a * (M - a)

The left side of the equation represents the rate of change of the number of words memorized (da/dt), and the right side represents the product of "a" and "M - a" multiplied by the constant k.

Therefore, the differential equation that models this situation is:

da/dt = k * a * (M - a)

Comparing this with the given options, we can see that the correct choice is option C:

dx/dt = k * x * (M - x)

The complete question is:

At any time t > 0 the rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized. If a denotes the number of words memorized at time t, which differential equation models this situation? Assume k is a positive constant.

A. dx/dt = kx

B. dx/dt = kx(x - M)

C. dx/dt = kx(M - x)

D. dx/dt = kt(M - t)

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Answer:

you would have 3 1's and 10 9's  so sorry if this is wrong

Answer:

0 pints ≤ J ≤ 4 pints

Where J is the amount of juice that Carl bought.

Step-by-step explanation:

Here we need to learn how to use the inequality symbols.

Let's define each one of them:

A < B   (A is strictly smaller than B)

A > B  (A is strictly greater than B)

A ≤ B (A is smaller than or equal to B)

A ≥ B  (A is greater than or equal to B)

A ≠ B  (A is different than B)

Ok, in this case, we know that Carl buys 4 one-pint cartons of milk.

Then the total amount of mil that he buys is 4 times one pint, this is:

4*1 pint = 4 pints

He has 4 pints of milk.

And we know that he buys less juice than milk, then if J represents the amount of juice that he bought, we need to have:

J < 4 pints

This means that the amount of juice that he bought is smaller than the quantity of milk that he bought (4 pints)

If we want to be more correct, we should write:

0 pints ≤ J ≤ 4 pints

Here we say that J needs to be a positive number (we can't buy a negative quantity of juice)

The mean of the number of houses burglarized in this sample is 4.5 based on probability.

The probability of a house in an urban area being burglarized is 15%. This means that out of every 100 houses, 15 will be burglarized.

If 30 houses are randomly selected, we can use the binomial distribution to find the mean number of houses burglarized. The formula for the mean of a binomial distribution is:

Mean = n * p

where n is the number of trials (in this case, 30) and p is the probability of success (in this case, 0.15).

Substituting these values, we get:

Mean = 30 * 0.15
Mean = 4.5

Therefore, the mean number of houses burglarized out of 30 randomly selected houses is 4.5. Note that this is an expected value and may not represent the actual number of houses burglarized in any particular sample of 30 houses.
To find the mean of the number of houses burglarized, we can use the formula:

Mean = (Probability of success) x (Number of trials)

In this case:
- Probability of success (a house being burglarized) is 15%, or 0.15 as a decimal.
- Number of trials (randomly selected houses) is 30.

Using the formula, we get:

Mean = (0.15) x (30) = 4.5

So, the mean of the number of houses burglarized in this sample is 4.5.

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Answer:

a = 2, b = -2

P is at a minimum

Step-by-step explanation:

For any polynomial function, the turning point is either a maximum or a minimum

It can be determined by taking the first derivative of the function and setting it equal to 0 and solving for x and y

In this case we are given the turning point as x=1, y = 3 and we have to calculate a and b in the equation y = ax² + (ab)x + 5

The first derivative of y, y' = 2ax + ab

If we set this equal to 0 we get 2ax + ab = 0 ==> 2ax = -ab ==> b = -2

So the equation is of the form y = ax² -2ax + 5  (subbing for b)

Since we know that at x = 1, y =3 substitute y and x values in the above equation and solve for a

y = 3 = a(1²) - 2a(1) + 5

a - 2a + 5 = 3

-a + 5 = 3

a = 2

So the equation is of the form y = 2x² -4x + 5

If we plot this we will find that P is a minimum point

However, we can always determine mathematically if P is a max or min by taking the second derivative of the original function and noting the sign.  If it is positive, the point is a minimum, and if it is negative, the point is a maximum.

Taking derivatives,

y' = 4x  - 4

y'' = (4x-4)' = 4

The sign is positive so P is a minimum

Graph attached for reference

The solution to the initial value problem y" + 4y + 3y' = e', y(0) = 1, y'(0) = 0 is y(t) = -1/7 + (1/7)cos(√7t).

To solve the given initial value problem using the Laplace transform, we need to take the Laplace transform of both sides of the differential equation and apply the initial conditions.

Taking the Laplace transform of the differential equation:

L[y"] + 4L[y] + 3L[y'] = L[e']

Using the properties of the Laplace transform and the differentiation property L[y'] = sY(s) - y(0), where Y(s) is the Laplace transform of y(t) and y(0) is the initial condition:

s²Y(s) - sy(0) - y'(0) + 4Y(s) + 3Y(s) = 1/s

Since the initial conditions are y(0) = 1 and y'(0) = 0, we can substitute these values:

s²Y(s) - s(1) - 0 + 4Y(s) + 3Y(s) = 1/s

Simplifying the equation:

s²Y(s) + 4Y(s) + 3Y(s) - s = 1/s + s

Combining like terms:

(s² + 7)Y(s) = (1 + s²)/s

Dividing both sides by (s² + 7):

Y(s) = (1 + s²)/(s(s² + 7))

Now, we can use partial fraction decomposition to simplify the right side of the equation:

Y(s) = A/s + (Bs + C)/(s² + 7)

Multiplying through by the common denominator (s(s² + 7)):

(1 + s²) = A(s² + 7) + (Bs + C)s

Expanding and equating coefficients:

1 + s² = As² + 7A + Bs³ + Cs

Matching coefficients of like powers of s:

A + B = 0 (coefficient of s²)

7A + C = 1 (constant term)

0 = 0 (coefficient of s)

From the first equation, we have B = -A. Substituting into the second equation:

7A + C = 1

Solving this system of equations, we find A = -1/7, B = 1/7, and C = 1.

Therefore, the Laplace transform of y(t) is:

Y(s) = (-1/7)/s + (1/7)(s)/(s² + 7)

Taking the inverse Laplace transform of Y(s) using the table of Laplace transforms, we can find y(t):

y(t) = -1/7 + (1/7)cos(√7t)

So, the solution to the initial value problem y" + 4y + 3y' = e', y(0) = 1, y'(0) = 0 is y(t) = -1/7 + (1/7)cos(√7t).

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Answer:

(2,6)

Step-by-step explanation:

substitute the given value of x into the equation

-4 (-4 + y ) +2 = -y

solve for y

y=6

substitute the value of y into x= -4 + y

x= -4 + 6=2

x=2

y=6

(2,6)

Hi!

Your answer is:

x=2 and y=6

I hope this helps!

Feel free to mark brainliest!

7/4 can be expressed as

3/4 can be expressed as

Then, the fractions to compare are:

14/8, 4/8, 7/8, 6/8

We can order them only considering the numerators. from least to greatest value the ordered list is:

4/8, 6/8, 7/8, 14/8

or

4/8, 3/4, 7/8, 7/4

Volume of 19.6 g of a liquid that has a density of 0.967 g/ml is 20.3

Volume and density are connected by a particular substance's mass. The relationship between mass and volume can be easily determined using density; for example, the mass of a body is equal to its volume multiplied by the density (M = Vd), whereas the volume is equal to the mass divided by the density (V = M/d).

Density decreases when volume increases without accompanying increases in mass.

here,

Density = mass/volume

or, Volume = mass/density

or, volume = 1.96g/0.967 g/ml

or, volume = 20.268 ml (nearly equal to 20.3)

so, Volume of 19.6 g of a liquid that has a density of 0.967 g/ml is 20.3

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Step-by-step explanation:

-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4

Let the number of professors be x.

If there are 16 times as many students as professors, then the number of students will be:

If the number of students and professors is 42,500, then we have that:

Solving by dividing both sides by 17, we have:

Hence, we can calculate the number of students in the college to be:

Therefore, there are 40,000 students in the college.

Answer:

Step-by-step explanation:

All triangles without exception, have 180 degrees.

x + 53 + 70 = 180                Add the left

x + 123 = 180                       Subtract 123 from both sides.

x + 123 - 123 = 180 - `123    Combine.

x = 57  

Answer:

necklace

Step-by-step explanation:

It is the only one with a negative elevation