The buying and selling rate of an American dollar in a bank are Rs 116. 85 and Rs 117. 30 respectively. How much American dollar should be bought and sold by the bank to get Rs 9000 profit? ​

Answer:

No solution

Step-by-step explanation:

This is incorrect, either figure itself or the angle measures

See the attached to understand it

As it is there is no solution

It took 25 hours and 48 minutes employee worked for the week. Thus, option B is correct.

A timesheet is a data table which an emplοyer can use tο track the time a particular emplοyee has wοrked during a certain periοd. Businesses use timesheets tο recοrd time spent οn tasks, prοjects, οr clients. There are different methοds that have been used tο recοrd timesheets, such as paper, spreadsheet sοftware, and οnline time-tracking sοftware. Paper-based timesheets have nοw given way tο the digital fοrmats.

1st Day = 12 + 4 pm - 8:45 am

             = 16 - 8:45

              = 7:15 hours

2nd day = 12 + 5 pm - 9:14 am

              = 17 - 9:14

              = 7:46 hours

3rd day = 12 + 4:02 pm - 8:30 am

              = 16:02 - 8:30

              = 7:32 hours

4th day  = 12 + 5:00 pm - 9:08am

              = 17:00 - 8:30

              = 8:30 hours

5th day  = 12 + 3:30 pm - 8:07 am

              = 15:30 - 8:07

              = 7:23 hours

Adding all the hours of work =  7:15 hours + 7:46 hours +7:32 hours + 8:30 hours + 7:23 hours =  25 hours and 48 minutes

Thus, It took 25 hours and 48 minutes employee worked for the week. Thus, option B is correct.

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Answer:

100mi

Step-by-step explanation:

Step-by-step explanation:

REO=RBO=67

BOR=ERO=91

REB=REO-BE0=67-32=35

RYE=180-ERO-REB=180-91-35=54

Answer:

x  ≈ ± 3.87

Step-by-step explanation:

Given

x² - 3 = 12 ( add 3 to both sides )

x² = 15 ( take the square root of both sides )

x = ± \(\sqrt{15}\)

Then x ≈ 3.87 or x ≈ - 3.87 ( to 2 dec. places )

Answer:

10 pieces

Step-by-step explanation:

Giveb that:

Length of rope = 5 meters

Length per piece of rope cut = 1/2

Number of rope pieces that could be cut out :

Lenght of rope / length per piece cut

5 meters ÷ 1/2 meters

5 * 2 /1

= 10 pieces

When interpreting the expression as \((tanx)^{(sinx)\), the limit using L'Hospital's Rule is -∞ as x approaches 0+. However, when interpreting the expression as\(tan(x^{sinx})\), the limit is not well-defined due to the indeterminate form of 0^0.

To calculate the limit using L'Hospital's Rule, let's consider both interpretations of the expression and find the limits for each case:

Case 1: lim\((tanx)^{(sinx)\) as x approaches 0+

Taking the natural logarithm of the expression, we have:

\(ln[(tanx)^{(sinx)}] = sinx * ln(tanx)\)

Now, we can rewrite the expression as:

\(lim [sinx * ln(tanx)]\)as x approaches 0+

Applying L'Hospital's Rule, we differentiate the numerator and denominator:

\(lim [(cosx * ln(tanx)) + (sinx * sec^{2}(x))] / (1 / tanx)\) as x approaches 0+

Simplifying the expression:

\(lim [cosx * ln(tanx) + sinx * sec^{2}(x)] * tanx\) as x approaches 0+

\(lim [cosx * ln(tanx) + sinx * sec^{2}(x)] * (sinx / cosx)\) as x approaches 0+

\(lim [(cosx * ln(tanx) + sinx * sec^{2}(x)) / cosx] * sinx\) as x approaches 0+

\(lim [ln(tanx) + (sinx / cosx) * sec^{2}(x)] * sinx\) as x approaches 0+

\(lim [ln(tanx) + tanx * sec^{2}(x)] * sinx\) as x approaches 0+

Since lim ln(tanx) as x approaches 0+ = -∞ and\(lim (tanx * sec^{2}(x))\) as x approaches 0+ = 0, we have:

\(lim [ln(tanx) + tanx * sec^{2}(x)] * sinx\) as x approaches 0+ = -∞

Therefore, the limit of \((tanx)^{(sinx)\) as x approaches 0+ using L'Hospital's Rule is -∞.

Case 2: lim\(tan(x^{sinx})\)as x approaches 0+

We can rewrite the expression as:

lim\(tan(x^{(sinx)})\) as x approaches 0+

This expression does not have an indeterminate form of \(0^0\), so we do not need to use L'Hospital's Rule. Instead, we can substitute x = 0 directly into the expression:

lim \(tan(0^{(sin0)})\) as x approaches 0+

lim\(tan(0^0)\)as x approaches 0+

The value of \(0^0\) is considered an indeterminate form, so we cannot determine its value directly. The limit in this case is not well-defined.

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Doris needs to complete a total of 30 hours of continuing education to renew her real estate license for the first time. As she has already completed 20.5 hours of CE, she needs to complete an additional 9.5 hours of CE.

It's important to note that continuing education requirements vary by state and licensing board, so it's always a good idea to check with the relevant authorities to ensure you meet all the requirements for license renewal. Real estate agents are typically required to complete a certain number of continuing education hours within a specific time frame in order to maintain their license and stay up-to-date with industry developments and best practices. This is important to ensure they are equipped with the necessary knowledge and skills to provide quality services to their clients.
In summary, Doris needs to complete an additional 9.5 hours of CE to meet the 30-hour requirement for renewing her real estate license for the first time.

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Answer:

the variable

Step-by-step explanation:

Given expression:

\((6x+9)^2-5\)

When evaluating the expression for \(x=1\), we need substitute 1 for the variable (\(x\)) in the expression.

Evaluating the expression for \(x=1\):

\(\implies (6\cdot1+9)^2-5\)

\(\implies (6+9)^2-5\)

\(\implies (15)^2-5\)

\(\implies 225-5\)

\(\implies 220\)

Answer:

Variable

Step-by-step explanation:

Let's find the value

\(\\ \rm\Rrightarrow (6x+9)^2-5\)

\(\\ \rm\Rrightarrow (6+9)^2-5\)

\(\\ \rm\Rrightarrow 14^2-5\)

\(\\ \rm\Rrightarrow 196-5\)

\(\\ \rm\Rrightarrow 191\)

Answer:

Abdominal pain can be caused by many conditions. However, the main causes are infection, abnormal growths, inflammation, obstruction (blockage), and intestinal disorders. Infections in the throat, intestines, and blood can cause bacteria to enter your digestive tract, resulting in abdominal pain.

Answer:

Abdominal Pain Causes. Whether you've got a mild ache or serious cramps, abdominal pain can have many causes. For instance, you might have indigestion, constipation, a stomach virus or, if you're a woman, menstrual cramps.

Step-by-step explanation:

Answer: Jacob will be 16 (16.5) years old, which is half of Todd's age, in 4 years.

I respect the Todoroki profile pic :)

Step-by-step explanation:

33 ÷ 2 = 16.5

1/2 of Todd's age = 16.5 (16)

16 - 12 = 4 years (4.5 years to be specific)

The volume of the canister is 339.1 cubic inches.

The volume of a cylinder is calculated by using the formula V=πr²h, where r is the radius of the cylinder and h is the height of the cylinder.

The radius of the cylinder is half of the diameter, so the radius of the canister is 3 inches.

Using the formula, we can calculate the volume of the canister as follows:

V = π×3²×12

V = 108×3.14

V = 339.1 cubic inches

Therefore, the volume of the canister is 339.1 cubic inches.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Graph

Center = ( - 7 , 2)

Radius = 2

equation of the circle = ?

Step 02:

equation of the circle

(x - h) ² + (y - k) ² = r ²

( h , k) = ( - 7 , 2)

r = 2

( x - (-7)) ² + (y - 2)² = 2 ²

(x + 7)² + (y - 2)² = 4

The answer is:

The equation of the circle is (x + 7)² + (y - 2)² = 4

The ratio of LM to FG is 3:4, so correct option is A.

A triangle is a polygon with three sides, three vertices, and three angles. It is one of the basic shapes in geometry and has many properties that make it a useful and interesting shape to study.

The sum of the interior angles of a triangle is always 180 degrees, which is a fundamental property of triangles.

Triangles also have many interesting properties related to their sides, angles, and areas. For example, the Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. The area of a triangle can be calculated using the formula 1/2(base x height) or by using various trigonometric functions.

Triangles are important in many areas of mathematics and science, such as in geometry, trigonometry, calculus, and physics. They are also commonly used in architecture, engineering, and design.

If LMN and FGH are similar triangles, then the ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

Let x be the ratio of LM to FG. Then the ratio of their areas is (x²).

So we have:

LMN / FGH = 18 / 32

(x²) = 18 / 32

x² = 9 / 16

x = (3 / 4)

Therefore, the ratio of LM to FG is 3:4, which is option A.

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The following Java code can be used to solve the given problem:

```public static int getDaysToReachID(long id) { double salary = 0.001; int days = 0; while (salary < id) { salary *= 2; days++; } return days; }```

Explanation:

The given problem can be solved by using a while loop which continues until the salary becomes at least as large as the given ID.

The number of days required to reach the given salary can be calculated by keeping track of the number of iterations of the loop (i.e. number of days).

The initial salary is given as 0.001 AED and it gets doubled every day.

Therefore, the salary on the n-th day can be calculated as:

0.001 * 2ⁿ

A while loop is used to calculate the number of days required to reach the given ID. In each iteration of the loop, the salary is doubled and the number of days is incremented.

The loop continues until the salary becomes at least as large as the given ID. At this point, the number of days is returned as the output.

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Answer:

56/8671

Explanation:

First, determine the total number of artworks.

• Sculptures = 10

• Sketches = 11

• Oil paintings = 9

Total = 10+11+9 = 30

20 artworks can be selected out of 30 in 30C20 ways.

Next:

• 4 sculptures can be selected out of 10 in 10C4 ways.

• 10 sketches can be selected out of 11 in 11C10 ways.

• 6 oil paintings can be selected out of 9 in 9C6 ways.

The combination formula is:

Therefore:

Thus, the probability that 4 sculptures, 10 sketches, and 6 oil paintings are chosen to be displayed is:

The probability is 56/8671.

Answer:

1.2378×104

Step-by-step explanation:

The number 10 is called the base because it is this number that is raised to the power n. Although a base number may have values other than 10, the base number in scientific notation is always 10.

The rate at which total profit is changing when x items have been produced and sold is 1000/2√x - 0.2 - 2800x/3(x^2 + 5)^2.

The rate at which total profit is changing when x items have been produced and sold is calculated by taking the derivative of the total-revenue function R(x) and the total-cost function C(x) with respect to x and subtracting the two:

d(profit)/d(x) = d(R(x))/d(x) - d(C(x))/d(x).

d(R(x))/d(x) = 1000/2√x - 0.2

d(C(x))/d(x) = 2800x/3(x^2 + 5)^2 + 0

Therefore, d(profit)/d(x) = 1000/2√x - 0.2 - 2800x/3(x^2 + 5)^2.

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The growth rate of the bacterial colony after 3 hours is 32%, the population of a slowly growing bacterial colony after t hours is given by the function p(t) = 100 + 24t + 2t²

The growth rate of the colony is the rate of change of the population, which is given by the derivative of the function. The derivative of p(t) is p'(t) = 24 + 4t

The growth rate after 3 hours is p'(3) = 24 + 4 * 3 = 32. This means that the population of the colony is increasing by 32% after 3 hours.

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Answer:

4

Step-by-step explanation:

Yep

Answer:

is it 17/5?

Step-by-step explanation:

Answer: $105

Step-by-step explanation:

On the first day he earned 5; second day he earns square of 5 ie. 25; third day is 3 times of the second day, so it's 25x3 = 75. Add these 3 days together to get the answer, which is 105 dollars.

Answer:

one

Step-by-step explanation:

3(x - 2) = 22 - x

3x - 6 = 22 - x

3x + x = 22 + 6

4x = 28

4x/4 = 28/4

x = 7

I think ur question is erorr.

hope it hepls u a lot

Answer:

(6, 5)

Step-by-step explanation:

when you reflect over the x axis, you multiply the y coordinate by -1

if this doesn't help, try using a graph!

===========================================================

Explanation:

As shown in the diagram below, I've drawn a blue horizontal line to split the figure into two rectangles (smaller one up top, larger down below).

The smaller rectangle up top is 25 ft by 8 ft, giving an area of 25*8 = 200 sq ft.

The larger rectangle down below is 35 ft by 25 ft so we have an area of 35*25 = 875 sq ft.

The total area is 200+875 = 1075 square feet

Notes:

Main Answer:The linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

Supporting Question and Answer:

How can we express a vector as a linear combination of  vectors using a system of equations?

To express a vector as a linear combination of  vectors using a system of equations, we need to find the coefficients that multiply each given vector to obtain the desired vector. This can be done by setting up a system of equations, where each equation corresponds to the components of the vectors involved.

Body of the Solution:

(a) To show that the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3, we need to demonstrate two conditions: orthogonality and linear independence.

u1 · u2 = (2)(-3) + (0)(0) + (3)(2) = -6 + 0 + 6 = 0

u1 · u3 = (2)(0) + (0)(7) + (3)(0) = 0 + 0 + 0 = 0

u2 · u3 = (-3)(0) + (0)(7) + (2)(0) = 0 + 0 + 0 = 0

Since the dot product of every pair of vectors is zero, they are orthogonal.

   2.Linear Independence: We need to show that the vectors u1, u2, and u3 are linearly independent, meaning that no vector can be written as a linear combination of the other vectors.

We can determine linear independence by forming a matrix with the vectors as its columns and performing row operations to check if the matrix can be reduced to the identity matrix.

[A | I] = [u1 | u2 | u3 | I] =

[2 -3 0 | 1 0 0]

[0 0 7 | 0 1 0]

[3 2 0 | 0 0 1]

Performing row operations:

R3 - (3/2)R1 -> R3

R1 <-> R2

[1 0 0 | -3/2 1 0]

[0 1 0 | 0 1 0]

[0 0 7 | 0 0 1]

Since we can obtain the identity matrix on the left side, the vectors u1, u2, and u3 are linearly independent.

Therefore, the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3.

(b) To write v = (1, 2, 3) as a linear combination of u1, u2, and u3, we need to find the coefficients x, y, and z such that:

v = xu1 + yu2 + z*u3

Substituting the given vectors and coefficients:

(1, 2, 3) = x(2, 0, 3) + y(-3, 0, 2) + z(0, 7, 0)

Simplifying the equation component-wise:

1 = 2x - 3y

2 = 7y

3 = 3x + 2y

From the second equation, we can solve for y:

y = 2/7

Substituting y into the first equation:

1 = 2x - 3(2/7)

1 = 2x - 6/7

7 = 14x - 6

14x = 13

x = 13/14

Substituting the found values of x and y into the third equation

3 = 3(13/14) + 2(2/7)

3 = 39/14 + 4/7

3 = 39/14 + 8/14

3 = 47/14

Therefore, we have determined the values of x, y, and z as follows:

x = 13/14

y = 2/7

z = 47/14

Thus, we can write the vector v = (1, 2, 3) as a linear combination of u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) as:

v = (13/14)u1 + (2/7)u2 + (47/14)u3

Therefore, v can be expressed as a linear combination of the given vectors.

Final Answer:Therefore,the linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

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The linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

To express a vector as a linear combination of  vectors using a system of equations, we need to find the coefficients that multiply each given vector to obtain the desired vector. This can be done by setting up a system of equations, where each equation corresponds to the components of the vectors involved.

Body of the Solution:

(a) To show that the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3, we need to demonstrate two conditions: orthogonality and linear independence.

Orthogonality: We need to show that each pair of vectors is orthogonal, meaning their dot product is zero.

u1 · u2 = (2)(-3) + (0)(0) + (3)(2) = -6 + 0 + 6 = 0

u1 · u3 = (2)(0) + (0)(7) + (3)(0) = 0 + 0 + 0 = 0

u2 · u3 = (-3)(0) + (0)(7) + (2)(0) = 0 + 0 + 0 = 0

Since the dot product of every pair of vectors is zero, they are orthogonal.

  2.Linear Independence: We need to show that the vectors u1, u2, and u3 are linearly independent, meaning that no vector can be written as a linear combination of the other vectors.

We can determine linear independence by forming a matrix with the vectors as its columns and performing row operations to check if the matrix can be reduced to the identity matrix.

[A | I] = [u1 | u2 | u3 | I] =

[2 -3 0 | 1 0 0]

[0 0 7 | 0 1 0]

[3 2 0 | 0 0 1]

Performing row operations:

R3 - (3/2)R1 -> R3

R1 <-> R2

[1 0 0 | -3/2 1 0]

[0 1 0 | 0 1 0]

[0 0 7 | 0 0 1]

Since we can obtain the identity matrix on the left side, the vectors u1, u2, and u3 are linearly independent.

Therefore, the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3.

(b) To write v = (1, 2, 3) as a linear combination of u1, u2, and u3, we need to find the coefficients x, y, and z such that:

v = xu1 + yu2 + z*u3

Substituting the given vectors and coefficients:

(1, 2, 3) = x(2, 0, 3) + y(-3, 0, 2) + z(0, 7, 0)

Simplifying the equation component-wise:

1 = 2x - 3y

2 = 7y

3 = 3x + 2y

From the second equation, we can solve for y:

y = 2/7

Substituting y into the first equation:

1 = 2x - 3(2/7)

1 = 2x - 6/7

7 = 14x - 6

14x = 13

x = 13/14

Substituting the found values of x and y into the third equation

3 = 3(13/14) + 2(2/7)

3 = 39/14 + 4/7

3 = 39/14 + 8/14

3 = 47/14

Therefore, we have determined the values of x, y, and z as follows:

x = 13/14

y = 2/7

z = 47/14

Thus, we can write the vector v = (1, 2, 3) as a linear combination of u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) as:

v = (13/14)u1 + (2/7)u2 + (47/14)u3

Therefore, v can be expressed as a linear combination of the given vectors.

Therefore, the linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

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To obtain the residuals from the fit in 8.4a and plot them against y and x, as well as prepare a normal plot, we need the specific details of the fit and the data used.

WE know that residuals represent the differences between the observed values and the predicted values from a statistical model or regression analysis.

Since the residuals against y and x can help identify patterns or trends in the data that may indicate issues with the model's fit.

A normal plot, known as a Q-Q plot, compares the distribution of the residuals to a theoretical normal distribution. If the residuals closely follow a straight line in the normal plot, the residuals are normally distributed, which is an assumption of many statistical models.

Interpreting these plots involves examining the patterns and deviations from expected behavior. If the residuals exhibit a consistent pattern, it might indicate that the model does not capture all the relevant information in the data.

Thus if the residuals appear randomly scattered around zero with no discernible pattern, it suggests that the model adequately explains the data. Deviations in the normal plot may indicate departures from the assumption of normality in the residuals, which could impact the reliability of statistical inferences.

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Answer:

1) 100m^2 3) 96cm^2 4) 36 inches

Step-by-step explanation:

1) 10*10=100\(m^{2}\)

2)

3) 12*8=96\(cm^{2}\)

4)9*4=36 inches