in one school, each class has 23 students and 1 teacher. how many total people are there in 10 classes

Therefore , the solution of the given problem of unitary method comes out to be  $1,320, $3,960, and $5,280, respectively.

After determining the dimensions of one tiny slice, multiply the sum by two to complete a work using unitary procedure. The unit variable methodology, which just requires an expression, can be used to equation a coded unit from a certain group or set of groups. 40 pens, for example, might cost Rs. 4,000, which would be equal to $1.01 and 4000 pounds. It's possible that one country will have total control over the method employed to do this. Virtually every living creature has a distinctive quality.

Here,

In 2016, the prices for 1, 3, or 4 gold ounces were $1,320, $3,960, and $5,280, respectively.

In 2016, 2 gold ounces would cost $2,640.

1 ounce of gold costing $2 in 2016 is equal to $2 divided by 2 ounces of gold. in 2016.

= $2,640 ÷ 2

= $1,320

The price of 3 grams of gold for 2016 equals the price of One ounce of gold. multiplied by 3.

= $1,320 × 3

= $3,960

cost of one ounce of gold. in 2016 multiplied by 4 to get the price of 4 ounces of gold. in 2016.

= $1320 × 4

= $5,280

The price of 1, 3, and 4 gold ounces each in 2016 is therefore $1,320, $3,960, and $5,280, respectively.

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The distance the submarine needs to travel to get to the destination is 15 feet.

Distance is a numerical measurement of how far apart two points or objects are in space. In mathematics, distance is typically measured using the Euclidean distance formula, which applies to points in two- or three-dimensional space.

The Euclidean distance between two points, (x1, y1) and (x2, y2), in a two-dimensional plane is given by the formula:

d = √[tex][(x2 - x1)^2 + (y2 - y1)^2][/tex]

where the symbol √ represents the square root function.

Similarly, the Euclidean distance between two points, (x1, y1, z1) and (x2, y2, z2), in a three-dimensional space is given by the formula:

d = √[[tex](x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2][/tex]

The distance between two points can be positive or zero, but it cannot be negative. Distance is an important concept in many areas of mathematics and science, such as geometry, physics, and engineering. It is also used in real-life applications, such as navigation, transportation, and sports.

There are other measures of distance used in different contexts, such as Manhattan distance or taxicab distance, which measure the distance between two points by the sum of the absolute differences of their coordinates, rather than the square of the differences as in Euclidean distance. Additionally, distance can be defined in different ways for objects other than points, such as for the distance between two lines or two planes in geometry.

To determine the distance the submarine needs to travel to get to the destination, we need to calculate the vertical distance between the submarine and the destination point.

The vertical distance is the difference between the destination point and the submarine's current position:

Distance = Destination Point - Submarine's Position

Distance = (-10.5 ft) - (4.5 ft)

Distance = -15 ft

Therefore, the distance the submarine needs to travel to get to the destination is 15 feet.

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Answer:

2*4*3

Step-by-step explanation:

The number of blocks is the same as the volume. So start with the formula for the volume of a rectangular prism, that being length*width*height. Then use the picture to count out that the length is 4 blocks, width is 2 blocks and height is 3 blocks. Then we can plug these values into our equation and get the answer: 2*4*3

Answer: y = 1.50x + 14

There are 0.625 (or approximately 5/8) gallons in 80 fluid ounces. It's worth noting that the conversion factor between fluid ounces and gallons can vary depending on the system of measurement used

There are 128 fluid ounces in a gallon in the US customary system of measurement. Therefore, to find out how many 80-ounce containers are in a gallon, you can use the following formula:

number of 80-ounce containers in a gallon = 128 / 80

Simplifying this expression, we can perform the division:

number of 80-ounce containers in a gallon = 1.6

This means that there are 1.6 (or approximately 1 and 3/5) 80-ounce containers in a gallon.

Alternatively, you can convert the 80 ounces to gallons using the following formula:

number of gallons in 80 fluid ounces = 80 / 128

Again, simplifying this expression, we can perform the division:

number of gallons in 80 fluid ounces = 0.625

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Using Poisson distribution, the probability mass function is approximately 4.2%

To solve the problem, we can use the Poisson distribution since we are interested in the probability of a certain number of events (in this case, cars with 4 occupants) occurring in a given time period (morning commute).

The Poisson probability mass function is given by:

P(X = k) = (e^(-λ) * λ^k) / k!

where X is the random variable (number of cars with 4 occupants), λ is the mean (average) number of occurrences in the given time period (morning commute), and k is the number of occurrences we are interested in (k = 4 in this case).

Since the average number of non-driver passengers per car is 0.52, we can assume that the average number of total occupants (including the driver) is 1.52. Therefore, the mean (average) number of cars with 4 occupants in a given time period can be calculated as:

λ = (1.52)^4 * e^(-1.52) / 4!

Using a calculator, we get λ ≈ 0.0331.

Now we can plug in the values of λ and k into the Poisson probability mass function:

P(X = 4) = (e^(-0.0331) * (0.0331)^4) / 4!

Using a calculator, we get P(X = 4) ≈ 0.042

Therefore, the probability that a randomly selected car passing through the toll booth during the morning commute has 4 occupants (the driver and 3 passengers) is approximately 0.042 or 4.2%.

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Answer:

180 degrees

......................

Answer:

The correct answer is (A) 96 and 84. When y is directly proportional to x, it means that the ratio of y to x remains constant. In this case, when x=9, y=108, which means that the ratio of y to x is 108/9. Since the ratio is constant, we can use that ratio to find the values of y when x=8 and x=7. When x=8, y = (108/9)x8 = 96 and when x=7, y = (108/9)x7 = 84.

Henry had deposited approximately $8,000.32 if he received $13,299.23 after 5 years. Rounded to the nearest dollar, the answer is $8,000.To solve this problem, we can use the formula for compound interest:

[tex]$$ A = P \left(1 + \frac{r}{n}\right)^{nt} $$[/tex]

where A is the amount after t years, P is the principal (the amount deposited), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, we have:

A = $13,299.23

r = 0.08 (8%)

n = 4 (quarterly compounding)

t = 5 years

We can rearrange the formula to solve for P:

[tex]P = \frac{A}{(1 + \frac{r}{n})^(nt) }[/tex]

Plugging in the values, we get:

[tex]P = \frac{ $13,299.23}{(1 + \frac{0.08}{4} ) ^ {(4*5)} }[/tex]

P ≈ $8,000.32

Therefore, Henry had deposited approximately $8,000.32 if he received $13,299.23 after 5 years. Rounded to the nearest dollar, the answer is $8,000.

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Answer:

Step-by-step explanation:

Since the hexagon is regular, all of its sides have the same length. Therefore, each side has a length of 57 inches / 6 = 9.5 inches.

To find the area of the hexagon, we can use the formula:

Area = (3√3 / 2) × s^2

where s is the length of a side.

Substituting s = 9.5 inches, we get:

Area = (3√3 / 2) × (9.5 inches)^2

Area ≈ 244.3 square inches

Rounding to the nearest tenth, the area of the hexagon is 244.3 square inches.

For a regular pentagon, the apothem is the distance from the center of the pentagon to the midpoint of one of its sides. We can use the formula for the area of a regular pentagon to find the apothem:

Area = (5/4) × apothem × side length

Substituting the given values, we get:

118.25 square meters = (5/4) × apothem × (4.3 meters)

apothem = 118.25 square meters / (5/4) / (4.3 meters)

apothem ≈ 8.4 meters

Therefore, the length of the apothem is approximately 8.4 meters.

Since the hexagon is regular, all of its sides have the same length. Therefore, each side has a length of 90 feet / 6 = 15 feet.

To find the area of the hexagon, we can use the same formula as in the first problem:

Area = (3√3 / 2) × s^2

Substituting s = 15 feet, we get:

Area = (3√3 / 2) × (15 feet)^2

Area ≈ 1161.4 square feet

Rounding to the nearest tenth, the area of the hexagon is 1161.4 square feet.

The result of multiplcation of two numbers, 2×-3 where one is positive and other negative is equals to the negative six, -6.

Along with addition, subtraction and division, multiplication is one of the four basic arithmetic operations. In mathematics, multiplication means the repeated addition of groups of the same size. As we can see, 3+3 is the same as 2×3. When we multiply two numbers, the answer is called the product. The number of objects in each group is called the multiplicand, and the number of such equal groups is called the multiplier. In our case, 3 is the multiplier, 2 is the multiplier, and 6 is the product. Also, the product of 2× x , where x is any integer, is known as two times of x. We need to calculate the value for 2 times -3. Thus,

2 times -3 = 2×(-3)

Using the multiplicative rule (-)×(+) = - , so the result is -6. So the required value is -6. Hence, required value is -6.

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Answer:

x = 12

x = 9

Step-by-step explanation:

See picture below :)

A scientist planted seeds in 4 sections of soil for an experiment. Not all of the seeds grew into plants. After 20 days, the scientist counted the number of plants in each of the 4 sections. Thus, the number of plants per square foot will be 48.

The number of plants per square foot will be:

= (25 × 13) + (100 × 38) + (125 × 47) + (150 × 62) / (25 + 100 + 125 + 150)

= (325 + 3800 + 5875 + 9300) / 400

= 48.25

The above was illustrated by the number of plants and size of sections.

In this case, the number of plants per square foot will be 48.

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Population growth is usually an exponential equation. By forming and solving an exponential equation the population in 2009 will be 11,373,300.08

The exponential equation for population growth is,

P = P₀ ( 1+r)ⁿ

P₀ is the initial population, r is the rate and n is the time.

Here r = 1.5% = 1.5/100 = 0.015

n is 10 years and P₀ is 9800000

Substituting the values in equation,

P = 9800000 ( 1+0.015)¹⁰

     = 9800000 × 1.160 = 11,373,300.08

So with the growth rate of 1.5% over 10 years, the population will grow and reach 11,373,300.08.

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On January 31st, the money invested would have amounted to $10,737,418.

What is meant by investment?

An asset or object acquired with the intention of creating income or recognition is referred to as an investment. The purchase of products that are not consumed right away but will be utilised to create wealth down the road is referred to as an investment in an economic outlook. An investment in finance is a financial asset that is purchased with the expectation that it will either continue to generate income or be sold at a profit at a later date.

Given,

 A penny is invested on January 1.

It doubles each day.

We should find the amount on January 31.

First day = 1

Second day = 2

Third day = 4

Fourth day = 8

So basically if it is the xth day of January, then the amount on that day is 2ˣ⁻¹

Therefore on the January 31st, the money invested would have amounted to

2³¹⁻¹ = 2³⁰ = 1,073,741,824 pennies = $10,737,418.24 = $10,737,418

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Hello!

Answer:

A. The theoretical probability of flipping 3 heads on one flip of three coins is (1/2) * (1/2) * (1/2) = 1/8. Since you flipped three heads 7 times out of 50, the experimental probability of flipping 3 heads is 7/50.

B. To calculate the theoretical probability of flipping less than 3 heads, we can calculate the probability of flipping 0, 1, or 2 heads and add them together. The probability of flipping 0 heads is (1/2) * (1/2) * (1/2) = 1/8, since all three coins must come up tails. The probability of flipping 1 head is (1/2) * (1/2) * (1/2) * 3 = 3/8, since there are three ways to get one head (HTT, THT, TTH). The probability of flipping 2 heads is (1/2) * (1/2) * (1/2) * 3 = 3/8, since there are three ways to get two heads (HHT, HTH, THH). Therefore, the theoretical probability of flipping less than 3 heads is:

1/8 + 3/8 + 3/8 = 7/8.

So the theoretical probability of flipping less than 3 heads is 7/8.

The size for a TV is determined as the diagonal length of the Television.

The Televisions that we see in our daily life are mostly of the rectangular shape.

A rectangular shape is a shape that has 4 sides in it, the opposite sides of the rectangular are parallel and equal. Two pairs of equal sides are formed in this type of shape.

If we connect the vertices that are directly opposite to each other than it is known as the diagonal of the rectangle . Often we see that the TV is of 32'' or 64''. This only means that the diagonal length of the TV is 32'' or 64''. This is how we measure the size of the TV.

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The rate of change of the area of a circle with respect to its radius when r = 3 cm is 6π cm2/cm, and the rate of change of the area of a circle with respect to its radius when r = 4 cm is 8π cm2/cm.

The area of a circle can be calculated using the formula, A = πr^2, where A is the area of the circle and r is the radius.The rate of change of the area of a circle with respect to its radius r can be calculated using the derivative of the equation. By taking the derivative of A with respect to r, we get the equation, dA/dr = 2πr.This equation signifies that the rate of change of the area of a circle with respect to its radius is proportional to the radius. As the radius increases, the rate of change of the area of the circle also increases.To calculate the rate of change of the area of a circle with respect to its radius when r = 3 cm and r = 4 cm, we can substitute the corresponding values of r in the equation, dA/dr = 2πr.

For r = 3 cm, the rate of change of the area of the circle with respect to its radius is dA/dr = 2π(3) = 6π cm2/cm.

For r = 4 cm, the rate of change of the area of the circle with respect to its radius is dA/dr = 2π(4) = 8π cm2/cm.

Therefore, the rate of change of the area of a circle with respect to its radius when r = 3 cm is 6π cm2/cm, and the rate of change of the area of a circle with respect to its radius when r = 4 cm is 8π cm2/cm.

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The other possibility is that the new battery will last longer on average than the known average battery life of the previous model. A one-sample t-test for a population mean is an appropriate test for the researchers' hypothesis. So, option B. is the correct choice.

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Answer: x = {41,42,43...}

Step-by-step explanation:

0.25x - 4 > 6

0.25x > 6 + 4

0.25x > 10

x > 10/0.25

x > 40

The possible values of x are {41,42,43...}

The value of fluid ounce in millimeter can be calculated by mutliplyin by 29.574 so 12 fluid ounce is 354.882 millileters.

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.

Per ounce, there are 29.5735296 millilitres (ml) (oz). As a result, the conversion formula for oz to ml is as follows:

ounce x 29.5735296 = ml

The following is the response to the question "What is 12 oz to ml?" when we enter 12 oz into our formula:

12 x 29.5735296

= 354.8823552 12 oz

≈ 354.882 ml

We have also changed the answer to "12 oz to ml?" into a fraction for your convenience. The fractional response to "12 oz to ml?" is as follows:

12 oz ≈ 354 15/17 ml

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Answer:

35.35 seconds

Step-by-step explanation:

The volume of the cylindrical glass can be calculated as:

V = πr²h

where r is the radius (half of the diameter), h is the height, and π is the mathematical constant π (approximately 3.14).

Since the diameter is 3 inches, the radius is 1.5 inches. The height is 10 inches. Therefore, the volume of the glass is:

V = π(1.5)²(10) ≈ 70.69 cubic inches

To fill the glass 50%, we need half of the volume:

V/2 ≈ 35.35 cubic inches

The faucet dispenses water at a rate of 1 cubic inch per second, so the time it takes to fill the glass 50% is:

t = (V/2) / (1 cubic inch per second) ≈ 35.35 seconds

Therefore, it takes approximately 35.35 seconds to fill the glass 50%. Rounded to two decimal places, the answer is 35.35 seconds.

Answer:

The maximum value of the function is 9/4.

The minimum value of the function is -1/4.

On the interval (0, pi/2), the function is strictly increasing.

The range of the function is [-1/4, 9/4].

Given function is:

y=5/4sin x + 1

:

The set of all shows for the overall group would be well-defined because it would include all seven shows from the Friday night line-up, ordered from most watched to least watched among all viewers.

A set is well-defined if it is clear which elements belong to the set and which do not. In this case, each set (the set of sitcoms, the set of dramas, and the set of all shows) is well-defined because each show is clearly identified as either a sitcom or a drama and is ordered from most watched to least watched within its respective group (women, men, and overall).

Therefore, each set is well-defined.

For example, the set of sitcoms for the women's group would be well-defined because it would include the four sitcoms from the Friday night line-up, ordered from most watched to least watched among women. Similarly, the set of dramas for the men's group would be well-defined because it would include the three dramas from the Friday night line-up, ordered from most watched to least watched among men.

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The step by step process of making the  8 by 10 frame consists of gather materials, measure the size and cut and screw it.

The first step in making a frame is to gather your materials. You'll need wood or other materials to construct the frame, as well as some tools like a saw and a hammer or nail gun.

To calculate the size of your frame, you'll need to add some extra length and width to the dimensions of your photo.

Once you have your dimensions, you'll need to cut your wood or other materials to size. You'll need four pieces of wood to create the frame - two longer pieces for the sides, and two shorter pieces for the top and bottom.

Next, you'll need to assemble your frame using nails or screws. Make sure the corners are flush and that the frame is square. You can use a carpenter's square to check your angles and make sure everything is aligned correctly.

Finally, you'll need to finish your frame. This could involve painting or staining the wood, adding decorative elements like beads or embellishments, or simply leaving the wood as-is for a more natural look. Once your frame is complete, you can insert your photo or artwork and enjoy your new creation!

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The relative frequency of men in Cambridge who walked to work is 0.39

Relative frequency is defined as the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).

We have to consider that frequency of men in Cambridge who walked to work, 8,110 by 20,276.

In order to find the relative frequencies for Tables 1 and 2 by dividing the value in each cell by the total for that table.

Relative frequency = 8,110 /20,276

The Relative frequency = 0.399980

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Answer:

y = 17

Step-by-step explanation:

the initial value of the function is obtained when x = 0

• note that [tex]a^{0}[/tex] = 1

then

y = 17[tex](1.24)^{x}[/tex] ← substitute x = 0

y = 17[tex](1.24)^{0}[/tex] = 17 × 1 = 17

initial value of the function is y = 17

Answer:

Step-by-step explanation:

To find the equation of a line that passes through two given points, we can use the point-slope form of the equation of a line. The point-slope form is:

y - y1 = m(x - x1)

where m is the slope of the line, (x1, y1) is a point on the line, and (x, y) are the coordinates of any other point on the line.

To use this formula, we first need to find the slope of the line that passes through the two given points (-4, -2) and (-6, -5). The slope, denoted by m, is given by the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) = (-4, -2) and (x2, y2) = (-6, -5). Substituting these values, we get:

m = (-5 - (-2)) / (-6 - (-4))

= (-5 + 2) / (-6 + 4)

= -3 / -2

= 3/2

So, the slope of the line is 3/2.

Now, we can choose either of the two given points and use it with the slope to write the equation of the line. Let's use the first point, (-4, -2). Substituting the values of x1, y1, and m in the point-slope formula, we get:

y - (-2) = (3/2)(x - (-4))

Simplifying the right side of the equation, we get:

y + 2 = (3/2)(x + 4)

Expanding the right side, we get:

y + 2 = (3/2)x + 6

Subtracting 2 from both sides, we get:

y = (3/2)x + 4

So, the equation of the line that passes through the points (-4, -2) and (-6, -5) is:

y = (3/2)x + 4

Therefore, the equations that represent circles with a diameter of 12 units and a center on the y-axis are: x² + (y - 3)²=36 and x² + (y + 8)²=36.

In mathematics, an equation is a statement that asserts the equality of two expressions. It consists of two expressions separated by an equals sign (=). The expression on the left side of the equals sign is called the left-hand side (LHS), and the expression on the right side of the equals sign is called the right-hand side (RHS). Solving an equation means finding the value of the variable that makes the equation true. I

Here,

A circle with diameter 12 units and center on the y-axis has its center at (0, c), where c is a constant. The radius of the circle is half the diameter, which is 6 units.

The equation of a circle with center (0, c) and radius r is given by:

x² + (y - c)² = r²

Substituting r = 6 and simplifying, we get:

x² + (y - c)² = 36

The only two equations among the options given that match this form are:

x² + (y - 3)² = 36 (center at (0,3))

x² + (y + 8)² = 36 (center at (0,-8))

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Answer:

Step-by-step explanation: Yes, but ONLY when you are multiplying or dividing.