There are 300,000 households in Clover City. A local television repair shop takes a random sample of 50 households and finds that the average number of televisions per household from the sample last year that needed to be repaired was 2.53 ± 0.71. Which of the following is an estimate of the total number of televisions that needed repairing last year in Clover City?

5√3 is the measure of the value of x

The given diagram is a right triangle. We need to determine the measure of the side 'x'

Using the trigonometry identity:

tan 60 = x/5

x = 5 tan 60

Simplifying the result, we will have:

x = 5√3

Hence the value of x from the given triangle is 5√3

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The value of 5.9 feet after the conversion to centimeter is equivalent to   179.9 cm .

The "Feet" and "Centimeters" are both the units of measurement for length.

The unit "Feet" are primarily used in the United States and other countries that follow the Imperial system, while "centimeters" are part of the metric system used in most other parts of the world.

We know that 1 feet is approximately equal to 30.48 cm ;

So , the conversion factor is = 30.48cm ;

To convert the given number we multiply , by the conversion factor ,

We can write :

⇒ 5.9 feet = 5.9 × 30.48 cm ;

⇒ 5.9 feet = 179.832 cm ≈ 179.9 cm .

Therefore , the value of 5.9 feet is approximately equal to 179.9 cm  .

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An equivalent to the expression 3x(2x+5) using distributive property is 6x²+15.

The distributive law of multiplication over addition and subtraction is another name for the distributive property. By its very name, the procedure implies that something will be divided or distributed. Both addition and subtraction are subject to the distributive law.

The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC.

Example: 3x(2x+5)

By using distributive property, we get

3x×2x+3x×5

= 6x²+15

Therefore, an equivalent to the expression 3x(2x+5) is 6x²+15.

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Answer:

n = 4

Step-by-step explanation:

Remove the radical by raising each side to the index of the radical.

Answer:

896

Step-by-step explanation:

The least common multiple (LCM) of 16, 28, and 56 is 896. This can be determined by listing the multiples of 16, 28, and 56 and then finding the smallest number that is a multiple of all three numbers. The multiples of 16 are 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304, 320, 336, 352, 368, 384, 400, 416, 432, 448, 464, 480, 496, 512, 528, 544, 560, 576, 592, 608, 624, 640, 656, 672, 688, 704, 720, 736, 752, 768, 784, 800, 816, 832, 848, 864, 880, 896, etc. The multiples of 28 are 28, 56, 84, 112, 140, 168, 196, 224, 252, 280, 308, 336, 364, 392, 420, 448, 476, 504, 532, 560, 588, 616, 644, 672, 700, 728, 756, 784, 812, 840, 868, 896, etc. The multiples of 56 are 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616, 672, 728, 784, 840, 896, etc. The smallest number that is divisible by 16, 28, and 56 is 896, so 896 is the least common multiple of 16, 28, and 56.

The value of weight of 76 kg when converted to pounds is  167.55112 pounds.

kilogram is the standard unit of mass in the International System of Units (SI), while pounds are a common unit of mass used in the United States and other countries.

To Know how to convert between different units of measurement is essential for accurate calculations and comparisons. convert 76kg to pounds, you can use the formula: 1 kilogram is equal to 2.20462 pounds.

Therefore, to convert 76kg to pounds, you would multiply 76 by 2.20462.

76  x 2.20462 =  167.55112 pounds

So, weight of 76kg is equivalent to  167.55112 pounds

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Answer:°

Based on the given information, we can see that the pair of parallel lines are intersected by a transversal, which creates corresponding angles on the two lines. Using this fact, we can set up the equation:

2x + 105 = 70^2

First, we simplify 70^2:

70^2 = 4900

Then, we solve for x:

2x + 105 = 4900

2x = 4900 - 105

2x = 4795

x = 2397.5

Therefore, x is equal to 2397.5.

The relationship between the angles is that they are corresponding angles, which means they are congruent. We can use this fact to find the measure of the other angle that is marked in the diagram.

From the diagram, we can see that the angle marked as (2x + 10^5)° is supplementary to the angle marked as 70^2°. This means that the sum of their measures is 180 degrees. We can use this fact to find the measure of the angle marked as (2x + 10^5)°:

(2x + 10^5) + 70^2 = 180

2x + 10^5 + 4900 = 180

2x + 10^5 = 175

2x = 175 - 10^5

2x = -99825

x = -49912.5

correct me if im wrong

Step-by-step explanation:

Knowing that two bouquets of flowers and candies are bought, leaving 21.10, the money at the beginning of the purchase is $266.85.

To find out how much money she had in the beginning, we can use the following equation:
Starting money - (bouquets cost + candies cost) = money left

Let's plug in the given values:
Starting money - ((2 x 121.75) + (2.25 x candies)) = 21.10

Simplifying the equation, we get:
Starting money - (243.50 + 2.25 x candies) = 21.10

Now, we can rearrange the equation to solve for the starting money:
Starting money = 21.10 + 243.50 + 2.25 x candies

If we plug in the given values, we get:
Starting money = 21.10 + 243.50 + 2.25 x candies
Starting money = 266.85

Therefore, Arunima had a total of $266.85 in the beginning.

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Answer:

4P

Step-by-step explanation:

See picture below :)

The value of x in the quadrilateral is 8 .

The diagram above is a quadrilateral because it has fur sides. The opposite side of the diagram is equal to each other.

Therefore, let's establish the relationship base on the congruent sides.

The value of x can be found as follows:

5x + 6 = 7x - 10

subtract 7x from both sides of the equation

5x - 7x + 6 = 7x - 7x - 10

-2x + 6 = - 10

subtract 6 from both sides of the equations

-2x + 6 = - 10

-2x + 6 - 6 = - 10 - 6

-2x = -16

divide both sides by -2

-2x / -2 = -16 / -2

x = 8

Therefore,

x = 8

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Answer:

0.375

Step-by-step explanation:

3/8 as a decimal is 0.375

To convert 5.5 cm to mm, we multiplied the length in centimeters by 10, which gave us 55 mm.

Measurement is an essential concept in mathematics and science that involves determining the size, quantity, or degree of something. The metric system is a standard measurement system that is widely used worldwide, and it includes units such as centimeters and millimeters.

Now, let's move on to your question about converting 5.5 cm to mm. Centimeters and millimeters are both metric units of length, with millimeters being smaller than centimeters. Therefore, to convert from centimeters to millimeters, we need to multiply the measurement in centimeters by 10.

We know that 1 cm is equal to 10 mm. So to convert 5.5 cm to mm, we can use the formula:

5.5 cm × 10 mm/cm = 55 mm

Therefore, 5.5 cm is equivalent to 55 mm.

It's important to note that when measuring, it's essential to use the appropriate units to get accurate results. In this case, we used the millimeter unit, which is suitable for measuring small lengths, to convert the 5.5 cm to a smaller unit, millimeters.

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To be able to purchase the car, you would need to save around 198.67 every month for 24 months.

To determine how much money you would have to save every month for 12 months or 24 months, we need to divide the cost of the car by the number of months and round the result up to the nearest cent to ensure that you have enough money to buy the car at the end of the saving period.

For 12 months:

The amount of money you would have to save every month for 12 months is:

4,768 / 12 = 397.33 (rounded up to the nearest cent)

So, you would have to save about 397.33 every month for 12 months to be able to buy the car.

For 24 months:

The amount of money you would have to save every month for 24 months is:

4,768 / 24 = 198.67 (rounded up to the nearest cent)

So, you would have to save about 198.67 every month for 24 months to be able to buy the car.

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Answer:

y = 130 + 75x

My answer is based on the understanding that y is the charge for the service call, x is the number of hours spent on the service call and 130 is the base charge for the service.

Therefore, the 130 dollars is the baseline cost, as it is the charge even if 0 hours are spent. The extra 75 dollars per hour is the additional charge that has to be paid for every each hour that is spent on the job.

Therefore, the equation should be y = 130 + 75x.

The 3 sided die is a unique type of dice with three sides instead of the usual six, and the probability of rolling any of the sides is equal to 1/3 or 33.3%.

A 3 sided die, also known as a triangular or tetrahedral die, is a unique type of dice that has three sides instead of the usual six. It is often used in games, puzzles, and simulations that require a random number generator.

Mathematically speaking, the probability of rolling any of the three sides on a 3 sided die is equal to 1/3 or 33.3%. This is because each of the sides has an equal chance of landing face up when the die is rolled.

To calculate the probability of rolling a specific number on a 3 sided die, we divide the number of ways that number can appear by the total number of possible outcomes.

For example, if we want to know the probability of rolling a 2, we would divide 1 (since there is only one side with a 2) by 3 (the total number of sides on the die). This gives us a probability of 1/3 or 33.3%.

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Answer:

There are 2 iron (Fe) atoms, 3 oxygen (O) atoms, and 3 carbon (C) atoms on both the reactant and product side of the equation. Therefore, the equation is balanced.

Answer:

There is 2 Iron(Fe) atoms , 6 Oxygen atoms and 3 carbon atom on both side so this equation is balanced I believed.

Therefore , the solution of the given problem of inequality comes out to be Paul can drive at most 208 more miles before he will have to refill the tank.

A connection or collection of variables without the equal sign is a mathematical inequality. Equilibrium is typically followed by equity. Inequality happens when two values are not equal. Differences exist between equality and inequality. It was decided to utilize the most factors symbol because the quantities are not identical or equivalent (). Any discrepancy, regardless of how small or large, can be used to compare values.

Here,

Let x be the number of miles Paul can drive before he will have to refill the tank.

Since Paul's car can go at most 375 miles on one tank of gas, and he has already driven 167 miles, we can write the inequality:

x ≤ 375 - 167

Simplifying, we get:

x ≤ 208

Therefore, Paul can drive at most 208 more miles before he will have to refill the tank.

Interpretation: If Paul drives more than 208 miles, he will not have enough gas to complete the journey and will need to refill the tank.

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55 kilograms is approximately equal to 121.2541 pounds.

A kilogram (symbol: kg) is the base unit of mass in the International System of Units (SI).

It is currently defined based on the fixed numerical value of the Planck constant, h,

Which is equal to 6.62607015 × 10-34 in the units of J·s.

A pound (symbol: lb) is a unit of mass used in the imperial and US customary systems of measurement.

The international avoirdupois pound (the common pound used today) is defined as exactly 0.45359237 kilograms.

To convert 55 kilograms to pounds,

We need to multiply the value in kilograms by 2.20462,

Since one kilogram is approximately equal to 2.20462 pounds.

Therefore,

55 kilograms multiplied by 2.20462 gives us:

55 kg x 2.20462 = 121.2541 pounds

(rounded to four decimal places)

So, 55 kilograms is approximately equal to 121.2541 pounds.

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The value of 104 kg into lbs can be converted by multiplying kilogram by 2.204622  so the answer is 229.3 pounds.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

The SI unit of mass is the kilogramme (kg). It has the same mass as the international kilogramme prototype. The International Bureau of Weights and Measures maintains a platinum-iridium international prototype similar to this one. A kilogramme is about equivalent to 2.20462262184878 pounds.

The legal definition of a pound, or the international avoirdupois pound, is 0.45359237 kilogrammes.

Pounds = kilograms × 2.20462262184878

= 104 x 2.20462262184878

= 229.3 pounds or lbs.

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Answer:Y=20

Step-by-step explanation:

growth

113.09724, is the diameter of craig's balloon.

What is volume ?

The area or capacity of a cone is determined by its volume.

A cone's circular base tapers from a flat base to a point known as the apex or vertex in three dimensions.

A cone is made up of a collection of line segments, half-lines, or lines that connect the apex—the common point—to each point on the base, which is in a plane without the apex.

A cone can be thought of as a collection of irregularly shaped circular disks placed on top of one another with the ratio of their radii remaining constant.

A three-dimensional shape's volume is determined by how much space it takes up.

According to our question-

V = 4/3 * * r3 is the formula for a sphere's volume.

Your balloon's diameter is 6,

hence its radius is 3.

V = 4/3 * 3.14159 * 33 = 113.09724

Hence, 113.09724, is the diameter of craig's balloon.

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The simple savings can be calculated using the interest formula. This is given as Interest = P (principal)× R (interest rate)×T (period).

An interest-bearing savings account without the usual minimum balance requirements is used by clients in a simple savings account. The formula used to calculate simple savings is given,

[tex]\text{Interest on savings account} = \text{daily balance} \times \text{rate of interest}\times\frac{\text{no. of days}}{365}[/tex]. And the simple interest is calculated by the following formula,

[tex]\text{Interest} = \mathrm{P (principal)\times R (interest\;rate)\times T (time\;period)}[/tex].

Imagine that you had a savings account with $20,000 and 3% interest paid annually. The interest rate is 0.03, so the formula would be as follows: Interest = $20,000 x 0.03 x 1 = $600. So the value is $600.

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The division of [tex]14x^3-21x^2-7x $ by $-7x[/tex] is -2x-2.

What is polynomial division?

Polynomial division is a method used to divide two polynomials, which are algebraic expressions consisting of one or more terms, using long division.

To perform polynomial division of [tex]14x^3- 21x^2 - 7x[/tex] by −7x, we can follow these steps:

Write the dividend [tex](14x^3 - 21x^2 - 7x)[/tex] in descending order of powers of x, filling in any missing terms with a coefficient of 0:

[tex]14x^3 - 21x^2 - 7x + 0[/tex]

Write the divisor (-7x) to the left of a long division bracket and divide the first term of the dividend by the first term of the divisor. Place the result above the long division bracket.

-2x

Multiply the divisor by the quotient and write the result below the dividend. Subtract this product from the dividend and bring down the next term.

[tex]14x^3 - 21x^2 - 7x + 0\\\\-(-7x)(-2x)\\\\14x^2[/tex]

Repeat steps 2 and 3 with the new dividend (14x^2) and the same divisor (-7x).

[tex]-2x - 2\\\\14x^2 + 0x\\\\-(-7x)(-2x + 2)\\\\-14x[/tex]

Repeat steps 2 and 3 with the new dividend (-14x) and the same divisor (-7x).

2

[tex]14x^2 + 0x + 0[/tex]

[tex]-(-7x)(-2x + 2 - 2/7)[/tex]

0

The final result of the polynomial division is the quotient -2x - 2 with no remainder.

Therefore, the division of [tex]14x^3-21x^2-7x $ by $-7x[/tex] is:

[tex]14x^3-21x^2-7x \div -7x = -2x - 2.[/tex]

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The missing angles of the shape are

For a rhombus shape, the opposite angles are equal and the sum of the angles are equal to 360 degrees

The four shapes makes a fifth rhombus between them

2 < BIF + 2 < IBJ = 360

2 < BIF + 2 * 54 = 360

2 < BIF + 108 = 360

2 < BIF = 360 - 108

2 < BIF = 252

< BIF = 152

solving for < JBC

2 <JBC + < JBI = 180

< JBC = < IBA

2 < JBC + 54 = 180

2 < JBC = 180 - 54

2 < JBC = 126

< JBC = 63

Solving for < BJD

2 < JBC + 2 < BJD = 360

126 + 2 < BJD = 360

2 < BJD = 360 - 126

2 < BJD = 234

< BJD = 117

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Answer: Roughly 104.94 (because we need to use pi, and pi must round because it never ends). I really hope this helps!

Step-by-step explanation:

First, we know that to solve a circle's area, we do a(Area)=pi times radius squared. So, if the diameter of the circle is 14, then the radius is 7 (half of the diameter). That becomes pi (roughly 3.14) times 7 squared, which gives ur roughly 153.94 (because pi is never ending, so we have to round.)

If we know that the circle's area is about 153/94, and we know that the triangle's height is 7(because from the center point to the top point on the triangle, if exactly half of the full circle (diameter/2=radius, and radius is 7). Then, we would do 14 times 7(height times length) and that gives us 98, and divide by 2 which gives us 49.

Subtracting 49 from the circle's area (153.94) gives us an answer of roughly 104.94.

To find the equation of the tangent line to a curve at a given point, we will need the equation of the curve and the place where you want to locate the tangent line in order.

Calculate the derivative by differentiating the curve's equation. This will reveal the tangent line's slope at any point along the curve.

Put the derivative you discovered in step 1's derivative into the x-coordinate of the place where you wish to find the tangent line. This will reveal the tangent line's slope at that particular position.

To determine the equation of the tangent line, use the point-slope form of the equation of a line. A line's point-slope formula is written as y - y1 = m(x - x1), where (x1, y1) is the line's point and m is its slope. Both the slope of the line and the location on the line where you wish to find the tangent line are known to you from step 2.

Put the tangent line's equation in a simpler, more conventional form,        as y = mx + b.

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The value of centimeter to inches can be calculated by simply by dividing the length  value by 2.54 so 13 cm to 5.118 inches.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

You've also come to the right place if you've been wondering how many inches are in 13 centimetres or how many inches are in 13 centimetres.

On our website, inches are denoted by "in" or "′′, while centimetres are always written as cm.

You must divide 13 centimetres by 2.54 to get the answer in inches.

Hence, in inches, the comparable height, width, or length is:

13 cm equals 5.11811 inches.

13 cm is equal to 5.11811 inches.

5.11811 inches in 13 cm.

13 cm in inches: 13/2.54 = 5.11811 inches is the conversion factor for 13 cm.

You can convert 13 inches to centimetres here.

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If you arrived at a relative's house 45 seconds after leaving home, traveling 90 m, the speed was 2 meters per second.

To find out how fast you traveled, you need to use the formula for speed, which is distance divided by time. In this case, the distance is 90 meters and the time is 45 seconds.

So, you can plug these values into the formula to find your speed:
Speed = Distance / Time
Speed = 90 meters / 45 seconds
Speed = 2 meters per second

Therefore, you traveled at a speed of 2 meters per second. This means that you covered 2 meters in just one second. This is a relatively fast speed, especially if you were walking or running.

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The units of moment of inertia depend on the shape and dimensions of the object, and can be expressed in kg m², g cm², lb ft², or oz in².

The units of the moment of inertia depend on the shape and dimensions of the object. Some common units for a moment of inertia are:

kg m² (kilogram-meter squared)

g cm² (gram-centimeter squared)

lb ft² (pound-foot squared)

oz in² (ounce-inch squared)

These units represent the distribution of mass around an axis of rotation and are used in calculations involving rotational motion and torque.

The moment of inertia is a physical property of an object that determines its resistance to rotational motion. It depends on the mass distribution of the object and its orientation with respect to the axis of rotation. The moment of inertia is typically represented by the symbol I and is measured in units of kg m², g cm², lb ft², or oz in². The moment of inertia can be calculated using the object's mass, dimensions, and shape, and is used in calculations involving rotational motion, such as torque and angular acceleration. Different shapes and distributions of mass have different moments of inertia, which can affect the object's motion and stability.

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Answer:

a. AD = 28 mm

b. m/CBD = 90°

c. m/ADC = 90°

d. m/AEB = 45°

e. m/DAC = 135°