Suhana's father is a farmer. He deposits Rs.1200 of the remaining amount in the bank at 9% p.a. for 3 yrs
Calculate the amount the farmer will receive at the end of 3 yrs

Answer:

2.4 hours

Step-by-step explanation:

Let x = hours riding on bike

One cyclist covers 10 miles for every hour, so multiply x by 10 like this: 10x

Other cyclist covered 15 miles for every hour, so multiply x by 15 like this: 15x

They will both add up to 60

10x + 15x = 60

25x = 60

Divide both sides by 25

25x/25 = 60/25

x = 2.4

we have the number

5,937,852

this number can be written as

5*(1,000,000)+9*(100,000)+3*(10,000)+7*(1,000)+8*(100)+5*(10)+2*(1)

therefore

the digit 7 means ------> 7*1,000=7,000

Answer:

1) The slope-intercept and standard forms are \(y = -5\cdot x + 1\) and \(5\cdot x +y = 1\), respectively.

2) The slope-intercept form of the line is \(y = \frac{5}{2}\cdot x -\frac{9}{2}\). The standard form of the line is \(-5\cdot x +2\cdot y = -9\).

3) The slope-intercept form of the line is \(y = \frac{5}{2}\cdot x + 5\). The standard form of the line is \(-5\cdot x +2\cdot y = 10\).

4) The slope-intercept and standard forms of the family of lines are \(y = \frac{2}{7}\cdot x -\frac{c}{7}\) and \(2\cdot x -7\cdot y = c\), \(\forall \,c \in \mathbb{R}\), respectively.

5) The slope-intercept form of the line is \(y = 2\cdot x-7\). The standard form of the line is \(-2\cdot x +y = -7\).

Step-by-step explanation:

From Analytical Geometry we know that the slope-intercept form of the line is represented by:

\(y = m\cdot x + b\) (1)

Where:

\(x\) - Independent variable, dimensionless.

\(m\) - Slope, dimensionless.

\(b\) - y-Intercept, dimensionless.

\(y\) - Dependent variable, dimensionless.

In addition, the standard form of the line is represented by the following model:

\(a\cdot x + b \cdot y = c\) (2)

Where \(a\), \(b\) are constant coefficients, dimensionless.

Now we process to resolve each problem:

1) If we know that  \(m = -5\) and \(b = 1\), then we know that the slope-intercept form of the line is:

\(y = -5\cdot x + 1\) (3)

And the standard form is found after some algebraic handling:

\(5\cdot x +y = 1\) (4)

The slope-intercept and standard forms are \(y = -5\cdot x + 1\) and \(5\cdot x +y = 1\), respectively.

2) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that \((x_{1},y_{1})=(1,-2)\) and \((x_{2},y_{2}) = (3,3)\), then we construct the following system of linear equations:

\(m+b= -2\) (5)

\(3\cdot m +b = 3\) (6)

The solution of the system is:

\(m = \frac{5}{2}\), \(b = -\frac{9}{2}\)

The slope-intercept form of the line is \(y = \frac{5}{2}\cdot x -\frac{9}{2}\).

And the standard form is found after some algebraic handling:

\(-\frac{5}{2}\cdot x +y = -\frac{9}{2}\)

\(-5\cdot x +2\cdot y = -9\) (7)

The standard form of the line is \(-5\cdot x +2\cdot y = -9\).

3) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that \((x_{1},y_{1})=(-2,0)\) and \((x_{2},y_{2}) = (0,5)\), then we construct the following system of linear equations:

\(-2\cdot m +b = 0\) (8)

\(b = 5\) (9)

The solution of the system is:

\(m =\frac{5}{2}\), \(b = 5\)

The slope-intercept form of the line is \(y = \frac{5}{2}\cdot x + 5\).

And the standard form is found after some algebraic handling:

\(-\frac{5}{2}\cdot x+y =5\)

\(-5\cdot x +2\cdot y = 10\) (10)

The standard form of the line is \(-5\cdot x +2\cdot y = 10\).

4) If we know that \(a = 2\) and \(b = -7\), then the standard form of the family of lines is:

\(2\cdot x -7\cdot y = c\), \(\forall \,c \in \mathbb{R}\)

And the standard form is found after some algebraic handling:

\(-7\cdot y = -2\cdot x +c\)

\(y = \frac{2}{7}\cdot x -\frac{c}{7}\), \(\forall \,c\in\mathbb{R}\) (11)

The slope-intercept and standard forms of the family of lines are \(y = \frac{2}{7}\cdot x -\frac{c}{7}\) and \(2\cdot x -7\cdot y = c\), \(\forall \,c \in \mathbb{R}\), respectively.

5) If we know that \((x,y) = (3,-1)\) and \(m = 2\), then the y-intercept of the line is:

\(3\cdot 2 + b = -1\)

\(b = -7\)

Then, the slope-intercept form of the line is \(y = 2\cdot x-7\).

And the standard form is found after some algebraic handling:

\(-2\cdot x +y = -7\) (12)

The standard form of the line is \(-2\cdot x +y = -7\).

So, the gradient vector field of f is (∇f) = (cos(5y/z), -5x sin(5y/z)/z, 5xy sin(5y/z)/z^2).

To find the gradient vector field of the function f(x, y, z) = x cos(5y/z), we need to calculate the partial derivatives with respect to each variable and combine them into a vector.

The gradient vector is defined as:

∇f = (∂f/∂x, ∂f/∂y, ∂f/∂z)

Taking the partial derivatives of f(x, y, z) with respect to each variable:

∂f/∂x = cos(5y/z)

∂f/∂y = -5x sin(5y/z)/z

∂f/∂z = 5xy sin(5y/z)/z^2

Putting these partial derivatives together, we have:

∇f = (cos(5y/z), -5x sin(5y/z)/z, 5xy sin(5y/z)/z^2)

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Answer:

y = 2x

Step-by-step explanation:

I am basing this off of your straight line that you drew.

Slope is found by using \(\frac{rise}{run}\) . This means that you change in your y-axis divided by change in your x axis.

This can also be modeled by Δy/Δx

I used point (0,0) and the peak of the slope (100,200)

Your line starts at 0 and rises 200 and runs to the right 100.

Thus, you can write:

y = \(\frac{200}{100}\) x

This simplifies to y = 2x

Step-by-step explanation:

You divide each term by -2

30% of 45 is

Answer:

13.5

Step-by-step explanation:

13.5

Answer:

5n - 2

Step-by-step explanation:

3 + x = 8

8 - 3 = 5

5 = x

3 (first term) - 5 = -2

5n - 2

Answer:

nth term = 5n - 2

Step-by-step explanation:

The given sequence is 3, 8, 13, 18.

To find the nth term, we have to find the algebraic expression.

So, d = 8 - 3

    d = 5

b = first term - common difference

b = 3 - 5

b = (-2)

Algebraic expression or the nth term =

5n + (-2)

5n - 2.

Thus, the nth term equals to 5n-2!

The formula for the real portion of a complex function can be used to write re(e(1/z)) in terms of x and y: f(z) + f(z*) = re(f(z)) / 2

where z* denotes z's complex conjugate.

By applying this formula to the provided function, we obtain:

re(e(1/z)) = (e(1/z) + e(1/z*)) / 2

re(e(1/z)) = (e(x-iy) + e(x+iy)) / 2

re(e(1/z)) = (ex (cos y + I sin y) + ex (cos y - I sin y)) /2

As a result, re(e(1/z)) can be represented as ex cos y in terms of x and y.

Because it fulfills Laplace's equation, which asserts that the total of a function's second-order partial derivatives is equal to zero, this function is harmonic in every domain excluding the origin.

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Answer:

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

Set up a system of equations using the given information:

First, we can solve equation (1) for one of the variables, such as x:

Substitute this expression for x into equation (2):

By factoring the quadratic equation, we get:

So, the possible values for y are 4 and 11, so as x values (11 or 4).

Answer:

The answer is 13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

5(3)-2

15-2

13

Answer:

36 yards of fabric

Step-by-step explanation:

Set up the proportion

quilts/yards = quilts/yards

Let x = no. of yards to make 12 quilts

x/12 = 21/7 = 3

x = 12(3) = 36 yards of fabric

Answer:

f(- 3) = - 16

Step-by-step explanation:

To evaluate f(- 3) with x = - 3 in the interval x ≤ - 2, then

f(- 3) = 5x - 1 = 5(- 3) - 1 = - 15 - 1 = - 16

Based on the information we can infer that the correct options are equations 2, 4 and 5.

To find the correct options we must replace the values of x and y in order to find the area more easily. In this case we can replace the values by the number 1 to find the area of the figure.

If we replace the value of x and y by the number 1 in the equations, they would look like this:

Option 1.

Option 4.

Option 5.

According to the above, all the equations have a 4 as a result, so they correspond correctly with the area of the figure.

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Answer:

Step-by-step explanation:

Correct option is A)

Answer:

JN = 10 in

Step-by-step explanation:

the volume (V) of a triangular prism is calculated as

V = Ah ( A is the area of the triangular base and h the height )

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

here b = JL = 7 , h = KM = 6 , then

A = \(\frac{1}{2}\) × 7 × 6 = \(\frac{1}{2}\) × 42 = 21 in²

given V = 210 with h = JN , then

21 JN = 210 ( divide both sides by 21 )

JN = 10 in

When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

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Step-by-step explanation:

10 - m = 12

10 - 12 = m

-2 = m

m = -2

Answer:

m = -2

Step-by-step explanation:

10 -m=12

Subtract 10 from each side

10-m-12 = 12-10

-m = 2

Multiply each side by -1

-1 * -m = 2 * -1

m = -2

Answer:5 Tons

Step-by-step explanation:

Or 7,858.35 Pound sterling In Money Standards

Answer:

y = 8

Step-by-step explanation:

x = 4 is the equation of a vertical line parallel to the y- axis.

A perpendicular line will be a horizontal line with equation

y = c ( where c is the value of the y- coordinates the line passes through )

the line passes through (- 9, 8 ) with y- coordinate 8 , then

y = 8 ← equation of perpendicular line

Instead of developing the geometry, some examples of creating the workpart geometry during machining include:

Contour turning:

Profile milling:

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Answer:

500.

Step-by-step explanation:

The last digit must end with 0, 2, 4, 6, 8   for the Pin code to be even.

The middle 2 digits may be any numbers.

So if the last number is 0 Then there are 10*10 = 100 possible PIN codes.

So  as there are 5 possible last digits , the total  possible sets of digits

= 5 * 100

= 500.

The formula for the circumference of a circle can be derived from the concept of the circle's diameter and π (pi).

The circumference of a circle is defined as the distance around its outer edge. To derive the formula, we first need to understand that the diameter of a circle is the distance across it, passing through the center. It is equal to twice the radius (the distance from the center to any point on the circle).

Now, if we take the ratio of the circumference to the diameter for any circle, we find that this ratio is always constant, regardless of the size of the circle. This constant ratio is denoted by the Greek letter π (pi), which is approximately equal to 3.14159. Therefore, we can express the circumference of a circle as C = πd, where C represents the circumference and d represents the diameter. Alternatively, we can use the radius (r) and express the formula as C = 2πr. These formulas allow us to calculate the circumference of a circle based on its diameter or radius.

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Answer:

Solutions

Step-by-step explanation:

El ángulo de 45 grados es uno de los ángulos notables en trigonometría. La razón trigonométrica más comúnmente asociada con este ángulo es:

- La razón trigonométrica del seno: sin(45°) = 1/√2 ≈ 0.7071

- La razón trigonométrica del coseno: cos(45°) = 1/√2 ≈ 0.7071

- La razón trigonométrica de la tangente: tan(45°) = sin(45°)/cos(45°) = 1

Recuerda que estas razones trigonométricas se obtienen a partir de la relación entre los lados de un triángulo rectángulo y se utilizan para calcular longitudes, ángulos y relaciones en problemas trigonométricos.

Answer:

WPB

Step-by-step explanation:

Because it's larger than 90 degrees. And none of the other angles are obtuse.

Answer:

the answer is WPB!!!!!!

Answer:

5. 36 square inches

2. Answer is B.

3. 189 cm^2

Step-by-step explanation:

5. 6 + 6 + 6 + 8 + 10 = 36

3. 51 + 102 + 36 = 189

Answer:

-9 because it is to the left of the number line, smaller than 6 and a negative

Answer: (2;3).

Step-by-step explanation:

\(\displaystyle\\\left \{ {{4x=-3y+17} \atop {3x-4y=-6}} \right. \ \ \ \ \left \{ {{4x+3y=17\ |*4} \atop {3x-4y=-6\ |*3}} \right. \ \ \ \ \left \{ {{16x+12y=68} \atop {9x-12y=-18}} \right. \\Let's\ sum \ up\ these\ equations:\\25x=50\ |:25\\x=2.\\4*2=-3y+17\\8+3y=17\\3y=9\ |:3\\y=3.\)

Answer:

Step-by-step explanation:

The given relations can be written as two equations in two unknowns. These can be solved by any of the ususal methods.

__

Let v and b represent the numbers of vans and buses used, respectively.

  v + b = 24 . . . . . 24 vehicles were taken

  8v +43b = 752 . . . . 752 students were transported

__

Perhaps the easiest solution is that afforded by a graphing calculator. It shows the solution to be ...

  v = 8 . . . . vans required

  b = 16 . . . . buses required

__

You can eliminate the v variable by subtracting 8 times the first equation from the second.

  (8v +43b) -8(v +b) = (752) -8(24)

  35b = 560 . . . . . simplify

  b = 16 . . . . . . divide by 35

  v = 24 -16 = 8 . . . . . find v from the first equation

They had to take 8 vans and 16 buses.