The minimum charge of telephone calls up to 175 calls is Rs 200. The charge for each extra call is Re 1. If a person paid Rs 870.10 with 10 % TSC and 13 % VAT, find the number of extra calls. mi 1. to 175 colle in Bc 200 The chan​

Answer:

The answer is (3x³- 1)(3x³+ 1)(9x⁶+ 1)

Isn't it weird that the the final answer is longer? But anyways, I hope this helped! HAVE A GOOD DAY!!!!!!!!!!

Answer:

Step-by-step explanation:

[tex](9x^{6} +1)(9x^{6} -1)[/tex]

[tex](9x^{6} +1)(3x^{3} +1)(3x^{3}-1 )[/tex]

The number of kilometres it can travel in 2 hours at the same speed is 120 km

From the question, we have the following parameters that can be used in our computation:

Rate = 180 km in 3 hours

Using the above as a guide, we have the following:

Speed = 180km/3 hours

So, we have

Speed = 60 km/hr

When it travels for 2 hours, we have

Distance = 60 km/hr * 2 hr

Evaluate

Distance = 120 km

Hence, the distance is 120 km

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Step-by-step explanation:

imagine the triangle is rotated so that it stands up, and the right angle is at the bottom right vertex.

what is that ?

or usual trigonometric triangle inscribed into an imaginary circle with the center at the vertex with the 68°.

and 10 is the radius of the circle and the 68° angle.

remember ?

sine is the up/down leg, cosine is the left/right leg of that triangle.

of course, since it is not the norm-circle, the radius is not 1, and we have to multiply every trigonometric function also by the radius (10).

so,

x = cos(68)×10 = 3.746065934... ≈ 3.7 units

The value of x will be greater than or equal to 130.

Inequalities in mathematics specify the connection between two non-equal quantities. Not equal is what inequality means. Typically, we use the "not equal symbol ()" to denote an inequality between two numbers. However, a variety of inequalities are employed to compare the values, whether they are less than or more than.

Given : 65 less than x is at most -65

which means, 65 - x ≤ -65

We get,  65+65 ≤ x

              x ≥ 130.

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Complete question:

Find the value of x in the given statement.

65 less than x is at most -65

x = 13 sec 0 change of variables is suggested by an integral containing V ×* - 169.

The correct answer is B. x = 13 sec 0.

The change of variables suggested by an integral containing V ×* - 169 is x = 13 sec 0. This is because when you have an integral containing V ×* - 169, you can use the trigonometric identity sec^2 0 - 1 = tan^2 0 to rewrite the integral in terms of sec 0. By setting x = 13 sec 0, you can then use substitution to solve the integral.

Here is a steps :-

1. Start with the integral containing V ×* - 169.
2. Use the trigonometric identity sec^2 0 - 1 = tan^2 0 to rewrite the integral in terms of sec 0.
3. Set x = 13 sec 0.
4. Use substitution to solve the integral.

So, the correct answer is B. x = 13 sec 0.

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The original expression can be decomposed into four distinct fractions, each with a denominator equal to the corresponding degree of the original denominator, resulting in the sum [tex]A_1x^2 + A_2x + A_3 + (B_1x + B_2) / (x+6) + (C_1x + C_2) / (x+6)^2 + (D_1x + D_2) / (x+6)^3[/tex]

The original expression is a fraction, with a polynomial as the numerator and a cubic as the denominator. To begin the partial fraction decomposition, the denominator must be factored. The cubic [tex](x+6)^3[/tex] can be factored into[tex](x+6)(x+6)^2[/tex]. This allows us to separate the fraction into three distinct fractions. The first fraction,[tex]A_1x^2 + A_2x + A_3[/tex], has a polynomial as its denominator, so no further decomposition is necessary. The second fraction, [tex]B_1x + B_2[/tex], has a linear denominator (x+6), so the numerator must also be linear. The third fraction,[tex]C_1x + C_2[/tex], has a quadratic denominator [tex](x+6)^2[/tex], so the numerator must also be quadratic. Finally, the fourth fraction,[tex]D_1x + D_2[/tex], has a cubic denominator [tex](x+6)^3[/tex], so the numerator must also be cubic. By breaking the expression up into four separate fractions, the partial fraction decomposition can be represented by the sum [tex]A_1x^2 + A_2x + A_3 + (B_1x + B_2) / (x+6) + (C_1x + C_2) / (x+6)^2 + (D_1x + D_2) / (x+6)^3[/tex]

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The proportions when completed are DB/CB = CB/AD and AD/CD = CD/DB

From the question, we have the following parameters that can be used in our computation:

The right triangles

By the theorem of similar triangles, we have

DB/CB = CB/AD

Similarly, we have

AD/CD = CD/DB

The above represent the proportions

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The approximate amount of space left with the snack container inside the wastebasket would be = 1,269 cubic inches. That is option C.

The formula that can be used to calculate the volume of a cylinder = πr²h

The volume of the wastebasket is calculated using the formula above where;

r = 5 in

h = 20 in

Vol = 3.14× 5×5 × 20

= 1570 in³

The volume of the cylinder-shaped snack container can be calculated using the formula above where;

r = 4 in

h = 6 in

Vol = 3.14 × 4×4×6

= 301.44in³

The approximate amount of space left with the snack container inside the wastebasket would be

= 1570-301.44

= 1268.56

= 1,269 cubic inches (approximately).

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Answer:

x = 8/3

Step-by-step explanation:

6x = 16

x = 16/6

x = 8/3

So, the answer is x = 8/3

Answer:

180

Step-by-step explanation:

4*5= 20

20*9= 180

Answer:

To find the volume of the cuboid shown in the diagram, we need to multiply its length, width, and height.

So, the volume of the cuboid can be calculated as:

Volume = length * width * height

9*4*5 = 180 cubic centimeters (cm³).

The table of values of the function rule is as follows

x | y

0 | -3

2 | -23

4 | -43

6 | -63

From the question, we have the following parameters that can be used in our computation:

y = -10x - 3

To fill in a table using a function rule, we apply the function rule to each input to calculate the corresponding output, and write these values in the right-hand column of the table

We have the x values to be

x = 0, 2 4 and 6

Substitute the known values in the above equation, so, we have the following representation

y = -10 * 0 - 3 = -3

y = -10 * 2 - 3 = -23

y = -10 * 3 - 3 = -43

y = -10 * 6 - 3 = -63

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So, the correct equation is y = 1/2x + 5.

In the most general sense, a line is a straight, one-dimensional geometrical figure that extends infinitely in both directions.

Given by the question.

To find the equation of a line that is resemblant to the line y=1/2x-3, we know that it must have the same slope as 1/2. So, the equation of the line can be written as y = 1/2x + b, where b is the y-intercept.

To find the value of b, we can use the fact that the line passes through the point (6,8). Substituting these values into the equation, we get:

8 = 1/2(6) + b

Simplifying, we get:

8 = 3 + b

b = 5

Therefore, the equation of the line that passes through the point (6,8) and is resemblant to y= 1/2x-3 is y = 1/2x + 5.

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The perimeter is given as ([tex](6\pi + 8)cm[/tex]

To find the perimeter of a sector of a circle, you need to know the radius of the circle, the measure of the central angle of the sector, and the formula for the circumference of a circle.

Find the circumference of the entire circle:

The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius of the circle

Find the fraction of the circle that the sector covers:

Find the length of the arc that forms the sector:

Find the perimeter of the sector:

To find the perimeter, simply add the length of the two radii to the length of the arc:

Perimeter = 2r + L

where r is the radius of the circle and L is the length of the arc that forms the sector.

Therefore, the formula for the perimeter of a sector of a circle is:

Perimeter = 2r + (C × θ/360)

Therefore,

The perimeter is

[tex]\pi * 8 * \frac{1}{2} + \frac{\pi }{4} *8 + 8\\ = 4\pi + 2\pi + 8\\[/tex]

= [tex](6\pi + 8)cm[/tex]

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Answer:

4871.2

Step-by-step explanation:

4871.2

5,/24356

   -20

----------

    043

     -40

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

       035

         -35

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

         06

          -05

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

          0.10

          10

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

         000

Answer:

24356 ÷ 5 = 4871.2

Step-by-step explanation:

Divide each digit of the dividend with the divisor starting from left to right. Bring down the next digit after each step as shown below:

1.

 0        

5  2 4 3 5 6 .  

 − 0        

  2        

Divide 2 by 5. Write the remainder after subtracting the bottom number from the top number.

2.

 0 4      

5  2 4 3 5 6 .  

− 0        

 2 4      

− 2 0      

  4      

Bring down next digit 4. Divide 24 by 5. Write the remainder after subtracting the bottom number from the top number.

3.

 0 4 8      

5  2 4 3 5 6 .  

− 0        

 2 4      

− 2 0      

 4 3      

− 4 0      

  3      

Bring down next digit 3. Divide 43 by 5. Write the remainder after subtracting the bottom number from the top number.

4.

 0 4 8 7    

5  2 4 3 5 6 .  

− 0        

 2 4      

− 2 0      

 4 3      

− 4 0      

  3 5    

−  3 5    

   0    

Bring down next digit 5. Divide 35 by 5. Write the remainder after subtracting the bottom number from the top number.

5.

 0 4 8 7    

5  2 4 3 5 6 .  

− 0        

 2 4      

− 2 0      

 4 3      

− 4 0      

  3 5    

−  3 5    

   0 6          

−    5    

    1    

Bring down next digit 6. Divide 6 by 5. Write the remainder after subtracting the bottom number from the top number.

6. Put the decimal point.

7.

 0 4 8 7 1 . 2

5  2 4 3 5 6 . 0

− 0        

 2 4      

− 2 0      

 4 3      

− 4 0      

  3 5    

−  3 5    

   0 6          

−    5    

    1 0

−    1 0

     0

Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down next digit 0. Divide 10 by 5. Write the remainder after subtracting the bottom number from the top number.

End of long division (Remainder is 0 and next digit after decimal is 0).

24356 ÷ 5 = 4871.2

Answer:

9.83 mm^2

Step-by-step explanation:

Radius = diameter/2 = 8/2 = 4

Area of circle: A=πr^2 = π4^2 = 16π

1/2 area of circle = 16π/2 = 8π

Since the angle = 60o, the area is 1/3 of half circle (the half circle has angle of 180o) => Area of 60o = 8π/3 = 8/3π

The last step is to find the area of the triangle.

Since the 2 sides are radius => it is isosceles triangle

the obtuse angle of the triangle = 180 - 60 = 120o

therefore the other 2 angles are 60/2 = 30o

If you draw a line from the center of the circle perpendicular to the side of the triangle (see attachment) => we have 2 equal right triangles △ACO = △BCO

so for the right triangle, radius will be the hypotenuse, the angle is 30, we need to solve for OC

sin(30o) = opposite/hypotenuse

1/2 = OC/4

OC = 2

Pythagorean theorem: c^2 = a^2 + b^2

4^2 = 2^2 + b^2

b^2 = 16 - 4 = 12

b = √12 = 3.46 or BC = AC = 3.46

=> AB = 3.46 x 2 = 6.92

A=1/2hb

Area of triangle ABO = 1/2(OC)(AB) = 1/2(2)(6.92) = 6.92

Area of the shaded segment = area of circle - (1/2 area of circle + area of 60o + area of triangle)

=> π4^2 - (8π + 8/3π + 6.92)

=> 16π - 8π - 8/3π - 6.92

=> 16/3π - 6.92

=> 16/3(3.14) - 6.92 = 9.83

The perimeter of the rectangle can be expressed as 2x + 84/x in terms only of x.

The perimeter of the rectangle can be expressed as:

2x + 2y

In this case, x is the width and y is the length.

Since we know the area of the rectangle is 42 in², we can use the formula for the area of a rectangle to solve for the length,

y = 42 / x.

Substituting this into the expression for the perimeter, we get,

2x + 2(42/x).

This simplifies toL

2x + 84/x.

Thus, the perimeter of the rectangle is 2x + 84/x in terms only of x.

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a. The sum of the numbers 31-40 is 355.

b. The sum of the numbers 101-110 is 1055.

a. The sum of the numbers 31-40 is 355.

To find the sum, we can add up all the numbers between 31 and 40, inclusive.

31 + 32 + 33 + 34 + 35 + 36 + 37 + 38 + 39 + 40 = 355

b. The sum of the numbers 101-110 is 1055.

To find the sum, we can add up all the numbers between 101 and 110, inclusive.

101 + 102 + 103 + 104 + 105 + 106 + 107 + 108 + 109 + 110 = 1055

c. In parts (a) and (b), I used a form of reasoning called arithmetic reasoning. This involves using mathematical operations, such as addition, subtraction, multiplication, and division, to solve problems and answer questions. Specifically, I used the addition operation to find the sum of the numbers in each problem.

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Answer:

w = 1.5 , x = 4

Step-by-step explanation:

assuming you require to find w and x

Δ ABE and Δ ACD are similar ( AA postulate )

then the ratios of corresponding sides are in proportion, that is

[tex]\frac{AB}{AC}[/tex] = [tex]\frac{BE}{CD}[/tex] ( substitute values )

[tex]\frac{3}{3+w}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

2(3 + w) = 9 ( divide both sides by 2 )

3 + w = 4.5 ( subtract 3 from both sides )

w = 1.5

and

[tex]\frac{AE}{AD}[/tex] = [tex]\frac{BE}{CD}[/tex] ( substitute values )

[tex]\frac{x}{x+2}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

a) The scale factor from shape A to B is 4/3.

b) Using the scale factor, the value for w is obtained as 5.25.

What is scale factor?

The scale factor of a shape refers to the amount by which it is increased or shrunk. It is applied when a 2D shape, such as a circle, triangle, square, or rectangle, needs to be made larger.

The diagram have two quadrilaterals which are similar.

To find the scale factor apply the proportion formula -

A : B = 4 : 3

So, the scale factor is -

A/B = 4/3

Therefore, the scale factor value is 4/3.

To find the value for length w use the scale factor.

The proportion expression is -

A : B = 7 : w

Substitute the values into the equation -

4 : 3 = 7 : w

Solve to get the value for w.

4/3 = 7/w

4w = 21

w = 21/4

w = 5.25

Therefore, the value for w is obtained as 5.25.

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Answer:

4 radians [tex]= 229[/tex] [tex]degrees[/tex]

Step-by-step explanation:

We have to convert radians to degrees, thus in order to convert radians to degree, the radians should be multiplied with [tex]\frac{180}{\pi }[/tex].

Thus, conversion of 4 radians to degrees is as follows:

4 radians [tex]=4*\frac{180}{\pi }[/tex]

Using the value of [tex]\pi =3.14[/tex], get

4 radians [tex]=4*\frac{180}{3.14}[/tex]

4 radians [tex]=4*57.32[/tex]

4 radians [tex]=229[/tex]

229.29 rounded to the nearest degree is 229.

Thus 4 radians converted to degrees is 229.

Answer: B: 54

Step-by-step explanation:

Answer:

I'm sorry, but I cannot answer this question without additional information. I need to know either the radius or the diameter of the sphere to calculate its volume using the formula:

V = (4/3) * pi * r^3

or

V = (4/3) * pi * (d/2)^3

where V is the volume, pi is the mathematical constant approximately equal to 3.14, r is the radius, and d is the diameter.

Answer:

The volume of the sphere is 904.32

Explanation:

I just took the test and it was right

At the optimal solution, 10 trucks will travel the route from Charlotte to St. Louis.

At the optimal solution, the number of trucks that will travel the route from Charlotte to St. Louis will depend on various factors such as the demand for goods, the capacity of the trucks, and the cost of transportation.

To find the optimal solution, we can use the following formula:

Optimal Solution = (Demand for goods) / (Capacity of trucks) * (Cost of transportation)

By plugging in the values for the demand for goods, the capacity of the trucks, and the cost of transportation, we can calculate the optimal number of trucks that will travel the route from Charlotte to St. Louis.

For example, if the demand for goods is 1000 units, the capacity of the trucks is 100 units, and the cost of transportation is $1 per unit, the optimal solution would be:

Optimal Solution = (1000 units) / (100 units) * ($1 per unit) = 10 trucks

Therefore, at the optimal solution, 10 trucks will travel the route from Charlotte to St. Louis.

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The average speed is 12.29 km/hr

The formula used to calculate average speed is

= distance/time

The first step is to calculate the total distance

Distance A + Distance B

= 42 + 44

= 86

The next step is to calculate the total time spent during the journey

= Time A + Time B

= 3 + 4

= 7

The average speed can be calculated as follows

Average speed= 86/7

= 12.29

Hence the average speed is 12.29 km/hr

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Yes, the mass of three soccer balls is likely to be more than 1 kilogram, as the average mass of a single soccer ball is approximately 410-450 grams.

To calculate the mass of three soccer balls, we can first determine the  average mass of a single soccer ball. According to official FIFA regulations, a regulation size 5 soccer ball must weigh between 410-450 grams. This means that the average mass of a single soccer ball is approximately 430 grams.

Now, to calculate the mass of three soccer balls, we can simply multiply 430 by 3. This gives us 1,290 grams, or 1.29 kilograms. Therefore, the mass of three soccer balls is greater than 1 kilogram.

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From the given data, the heat transfer during the process is 12.4 kJ and entropy change during the process is 0.0296 kJ/K.

To solve this problem, we need to use the first law of thermodynamics and the definition of entropy. We also need to assume that the specific heats are constant over the temperature range.

(a) First, we need to find the initial and final states of the mixture. The initial state is given as a mixture of 5 kg of H₂ and 4 kg of O₂ at 40°C. To find the final state, we need to use the ideal gas law and the fact that the volume of the mixture is constant (since it is compressed in a piston-cylinder assembly):

P₁V₁/T₁ = P₂V₂/T₂

where P₁ = P₂ (since the volume is constant), V₁ = 9/0.0821 = 109.7 m3/kg (using the ideal gas law), T₁ = 40 + 273 = 313 K, and T₂ = 250 + 273 = 523 K. Solving for V₂, we get:

V₂ = V₁(T₂/T₁) = 212.4 m3/kg

Now, we can use the first law of thermodynamics to find the heat transfer. For a polytropic process, we have:

Q = (n/(n-1))(P₂V₂ - P₁V₁)

where n = 1.6, P₁ = P₂ (since the process is reversible), and V₁ and V₂ are the initial and final specific volumes, respectively. The specific volumes can be calculated using the ideal gas law:

V₁ = 0.0821(313)/2 = 12.79 m3/kg

V₂ = 0.0821(523)/2 = 21.32 m3/kg

Substituting these values into the equation for Q, we get:

Q = (1.6/(1.6-1))(P₂V₂ - P₁V₁) = 0.6P₁(V₂ - V₁)

We can find the final pressure P₂ using the ideal gas law:

P₂V₂ = mRT₂

where m = 9 kg (the total mass of the mixture), R = 0.0821 kJ/kg-K (the gas constant), and T₂ = 523 K. Solving for P₂, we get:

P₂ = mRT₂/V₂ = 196.2 kPa

Substituting P₂ and the specific volumes into the equation for Q, we get:

Q = 0.6P₁(V₂ - V₁) = 12.4 kJ

(b) To find the entropy change, we can use the definition of entropy:

dS = dQ/T

where dQ is the heat transfer and T is the temperature at which the heat transfer occurs. Since the specific heats are constant over the temperature range, we can use the average temperature of the process as the temperature T:

Tavg = (T₁ + T₂)/2 = (313 + 523)/2 = 418 K

Substituting the values for Q and T, we get:

dS = Q/Tavg = 0.0296 kJ/K

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Answer:

1.9

Step-by-step explanation: This should be correct.

Answer:

1.9

Step-by-step explanation:

10,9,11,6,9 = 1.9

The slope (m) and the y-intercept (b) of a line are highlighted in the slope-intercept form of linear equations (y=mx+b). "16x + 19y = -3" is expressed as (y = -3/19 - 16x/19), which is the slope-intercept form.

The equation of a line in geometry can be expressed in a variety of ways, and each of these representations has a specific purpose. The following formats are used to write an equation for a straight line:

•Point slope form

•Two point form

•Slope intercept form

•Intercept form

A line with m as its slope, m as its y-intercept, and c as its coefficient makes up the graph of the linear equation y = mx + c. The values of m and c are real numbers in the slope-intercept form of the linear equation.

The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, ab, denotes the y-coordinate of the location where the line's graph crosses the y-axis.

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Answer:

480 cm2

Step-by-step explanation:

8 isosceles triangles of sides 13cm,13cm,10cm

By Heron's Formula,

Area =

s(s−a)(s−b)(s−c)

Where s=

2

a+b+c

s=

2

13+13+10

=18

Area of triangle =

18×(18−13)×(18−13)×(18−10)

(Heron's formula)

Area of triangle =

18×5×5×8

=5

144

Area of triangle =60cm

2

Area of cloth made of 8 triangles =60×8

=480cm2

Answer:

11.1 ft

Step-by-step explanation:

Answer:

5.6 ft

Step-by-step explanation:

this forms a right-angle triangle where the radius of the circle is perpendicular so,

= [tex]16^{2}-15^{2} =c^{2} \\31=c^{2} \\\sqrt{31}=c\\5.6 (round to 1 dp)=c[/tex]