how to convert 0.24 as a fraction?

Answer: 9pi cm squared

Step-by-step explanation:

The radius is diameter divided by 2, so radius = 3cm.

Now, the equation for area is pi * r^2

3 squared is 9, so the area is 9pi cm squared.

The true statement about the function y = 40x is that it is a linear function

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

y = 40x

The given function is y = 40x, which represents the total number of dollars Mark earns depending on the number of lawns he mows.

Here are some properties of the function:

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Answer:

F = 1.8C + 32

F= 1.8(15)+32

F= 59

Step-by-step explanation:

Fahrenheit and Celcius are unit that can be used to measure temperature. In this question, you are given the equation to calculate Fahrenheit from Celcius so you just need to put the Celcius into C variable.

                                 ^^^ P.S Kinda copied but yknow it helps

Step-by-step explanation:

We can divide both of these ratios. If they both come out to be the same number, they are proportional. If different, they are not proportional.

[tex] \frac{0.2}{2.6} = \frac{1}{13} [/tex]

[tex] \frac{0.3}{3.6} = \frac{1}{12} [/tex]

[tex] \frac{1}{13} \: does \: not \: equal \: \frac{1}{12} \: so \: not \: proportional[/tex]

The solution is, The value of x is 21.4.

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.

here, we have,

The height of the right-angle triangle is 11. The hypotenuse of the right-angle triangle is x.

The measure of the angle opposite to height is 31°.

The sine of an angle is the ratio of height to the hypotenuse.

Therefore,

sin 31° = height/hypotenuse

sin 31° = 11/x

Multiply x with both sides:

x sin 31° = 11

Divide sin 31° with both sides:

x = 11/ sin 31°

x = 21.35

x ≈ 21.4 units

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The equations are defined as follows:

The two trees will have the same height after four years.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The parameters for this problem are defined as follows:

Hence the equations are given as follows:

The trees will have the same height when:

A(t) = B(t)

Hence:

4t + 38 = 8t + 22

4t = 16

t = 16/4

t = 4 years.

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The correct answer is d. column headers.

A formal proof is a logical argument that uses deductive reasoning to show that a statement is true. It typically includes an introduction, a conclusion, and a series of steps that connect the two. Each step is supported by a reason, which can be a definition, an axiom, or a previously proven theorem.

A table may be used in a formal proof to organize information, but column headers are not typically included. Column headers are often used in spreadsheets or data tables to label the columns, but they are not necessary in a formal proof. Therefore, the correct answer is d. column headers.

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The correct answer is A. no; since np<5, the normal distribution should not be used.  This is because np<5, which violates the condition for using the normal distribution approximation to the binomial distribution. In this case, np=15 which is less than 5, and therefore, the binomial distribution should be used. If np is greater than or equal to 5, a normal approximation to the binomial distribution can be used.

The binomial distribution can be used to model the probability of a certain number of successes in a fixed number of independent trials, where the probability of success in each trial is the same. However, if the number of trials is large and the probability of success is small, the binomial distribution can be approximated by a normal distribution.

In this case, we have

n = 100 trials and p = 0.15

probability of success in each trial.

Therefore, np = 15, which is less than 5. According to the rule of thumb, if np < 5 or n(1-p) < 5, the normal distribution approximation is not valid, and the binomial distribution should be used.

Since the probability of success is small (0.15), and the number of trials is relatively large (100), we could use a normal approximation to the binomial distribution. However, since np < 5, we cannot use the binomial probability formula directly. Instead, we would need to use a continuity correction and the standard normal distribution to estimate the probability. Therefore, option A is the correct answer.

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After 10 minutes, the first pool will contain a volume of 2267.5 liters of water and the second pool will contain 2702.5 liters of water.

It is important to first identify the information given in the question. We have the starting amounts of water in both pools, as well as the rates at which water is being added to each pool. Using this information, we can set up an equation to determine how much water will be in each pool after a certain amount of time.

Let t represent the amount of time in minutes that the pools are being filled. The equation for the first pool will be 1920 + 34.75t and the equation for the second pool will be 2500 + 20.25t.

To find out how much water is in each pool after a certain amount of time, we can simply plug in the value of t and solve for the amount of water. For example, if we want to know how much water is in each pool after 10 minutes, we can plug in t = 10 and solve:

First pool: 1920 + 34.75(10) = 1920 + 347.5 = 2267.5 liters
Second pool: 2500 + 20.25(10) = 2500 + 202.5 = 2702.5 liters

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Answer:

The distance around the window in inches is 80 inches. This is because the circumference of a semi-circle is equal to π times the diameter (C = πd). So, 40 x π = 80 inches.

Knowing the height of a rim and the diameter of the rim, we have that the rim diameter is 27.4 in.

The tire diameter can be calculated by adding the rim diameter and two times the tire height.
Formula: Tire diameter = Rim diameter + (2 x Tire height)

Given:
Tire height = 5.2 in
Rim diameter = 17 in

Plug in the given values into the formula to find the value of the tire diameter:
Tire diameter = 17 in + (2 x 5.2 in)
Tire diameter = 17 in + 10.4 in
Tire diameter = 27.4 in

Therefore, the correct answer is 27.4 in.

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Answer:

43,560ft

Step-by-step explanation:

A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.

Therefore, for every 1 acre it is equivalent to 43,560 feet.

Sampling error refers to the difference between the results of a sample and the true characteristics of the population from which the sample was drawn.

In statistics, sampling error is a measure of the degree of uncertainty that arises when estimating the characteristics of a population based on a sample of that population. This error occurs due to the fact that it is not feasible to collect data from every individual in a population, so researchers must rely on samples.

Sampling error can arise from various sources, including biases in the sample selection process, variability in the characteristics of the population, and random chance. Understanding and quantifying sampling errors are important in order to assess the validity and reliability of statistical estimates and to draw accurate conclusions from data.

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Answer:

1. No

2. Yes

3. No

Step-by-step explanation:

1.

We know that c = 7, so we plug it in to prove if the equation is true.

[tex]7+8=15[/tex]

The variable is not a solution.

2.

We know a = 30, so we plug it in to prove if the equation is true.

[tex]30-4=26[/tex]

The variable is a solution.

3.

We know y = 4.1, so we plug it in to prove if the equation is true.

[tex]12.6-4.1=8.5[/tex]

The variable is not a solution.

Therefore , the solution of the given problem of equation comes out to be y can be either 3 +√(6) or 3 -√(6) for FG to be equal to HI.

In arithmetic equations, the similar symbol (=) is used to denote equivalence between two statements. It is demonstrated that utilising mathematical methods, which have acted as manifestations of reality, it is feasible to compare different numerical factors. The equal sign, for instance, splits the number 12 and even the answer y + 6 = 12 into two separate parts. One can compute how many characters are already present on either end of this symbol. Contradictory symbol meanings are common.

Here,

To find y such that FG = HI, we need to first calculate FG and HI and then set them equal to each other.

The distance formula can be used to calculate the distance between two points:

Distance between F and G:

FG = √(((-4) - (-5))² + ((-4) - (-7))²)

FG = √(1² + 3²)

FG = √(10)

Distance between H and I:

HI = √((y - 3)² + (10 - 8)²)

HI = √((y - 3)² + 4)

Now we set FG equal to HI:

√(10) = √((y - 3)² + 4)

10 = (y - 3)² + 4

6 = (y - 3)²

y - 3 = ±√(6)

y = 3 ±√(6)

Therefore, y can be either 3 +√(6) or 3 -√(6) for FG to be equal to HI.

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A polynomial is an equation made up of coefficients and in determinates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables.

Multiplying Polynomials Find each product. 1) [tex]6v(2v + 3) 2) 7(-5v - 8)3) 2x(-2x -3)6v(2v + 3)[/tex]

To distribute the 6v over the binomial 2v + 3, we multiply 6v by each term inside the parenthesis:

[tex]6v(2v) + 6v(3)[/tex]

[tex]= 12v^2 + 18v7(-5v - 8)[/tex]

To distribute the 7 over the binomial -5v - 8, we multiply 7 by each term inside the parenthesis:

[tex]7(-5v) + 7(-8)= -35v - 562x(-2x - 3)[/tex]

To distribute the 2x over the binomial -2x - 3, we multiply 2x by each term inside the parenthesis:

[tex]2x(-2x) + 2x(-3)= -4x^2 - 6x[/tex]

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Answer:

$9.25

Step-by-step explanation:

Let x be the original price of each ticket before the discount was taken. The discount is $1.50 off each ticket, so the price they actually paid for each ticket is x - 1.50. Since there are 6 tickets, the total price they paid for all 6 tickets is:

6(x - 1.50)

We know from the problem that the total price they paid for all 6 tickets was $46.50, so we can set up the following equation:

6(x - 1.50) = 46.50

Simplifying this equation, we get:

6x - 9 = 46.50

Adding 9 to both sides, we get:

6x = 55.50

Dividing both sides by 6, we get:

x = 9.25

Therefore, the original price of each ticket was $9.25.

Answer:

9.25$

Step-by-step explanation:

Let x be the original price of each ticket before the discount was taken. The discount is $1.50 off each ticket, so the price they actually paid for each ticket is x - 1.50. Since there are 6 tickets, the total price they paid for all 6 tickets is:

6(x - 1.50)

We know from the problem that the total price they paid for all 6 tickets was $46.50, so we can set up the following equation:

6(x - 1.50) = 46.50

Simplifying this equation, we get:

6x - 9 = 46.50

Adding 9 to both sides, we get:

6x = 55.50

Dividing both sides by 6, we get:

x = 9.25

Therefore, the original price of each ticket was $9.25.

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The length seen in the miscroscope is 3.3 inches

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

Scale factor = 10

Object length = 0.33 in

This means that the length of the object seen through the microscope is 10 times the actual length.

So, we have

Length = 10 * Actual length

The actual length is 0.33 inches, so the length seen through the microscope is:

Length = 10 * 0.33

Length = 3,3

Hence, it would appear to be 3.3 inches long when viewed through Sam's microscope.

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Thus, the value displayed by Point K is roughly 373.

A number line in mathematics is a continuous straight line with numerals spaced equally apart along that line. Some stories will have a defined beginning and conclusion. We refer to these as closed number lines.

The distance between 367 and 377 can be split into five equal portions because the number line has 5 increments. Two components make up each section.

So, starting at 367, we must move 2 units to the right for each component until we reach Point K in order to determine the number represented by Point K.

We arrive at 369 by adding 2 units to the right of 367. From 369, we deduct another 2 units to arrive at 371. Following the same pattern, we arrive at 373, 375, and ultimately 377.

Point K is closest to 373 because it lies between 373 and 375. Thus, the value displayed by Point K is roughly 373.

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Answer:

20 millilitres of oil

Step-by-step explanation:

You need to first find how much goes into 1 litre of oil and to do that we divide the two numbers

80/2 = 40

Now we know that for every 1 litre we need 40 millitres

Since .5 is half of 1 we just need to take half of 40

half of 40 = 20

20 millilitres of oil

As per military time, 4pm would be 1600 hours or 16:00. We can deduce this by also seeing the 24 hour clock.

A day is divided into 24 equal-length segments and runs from midnight to midnight on the modern 24-hour clock, also known as military time in the United States.

Many nations use a 12-hour clock or a 24-hour/12-hour time combination, especially those that speak English as their primary language. Some professions favor using the 24-hour clock in nations where the twelve-hour clock is most prevalent.

A 24-hour clock is used in military time instead of a 12-hour clock to measure time. To convert from the 12-hour clock to military time, just add 12 to any time that is after noon. For example, 1 PM would be 13:00 in military time. To convert from military time to a 12-hour clock, just deduct 12 from any time that is after 12 PM (noon).

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Answer:

Equation: 1,152.00 = 21.80x + 16.60y

21.80x + 16.60y = 1,152.00

x = 52 days

y = 69 days

This money will buy 121 days of food for Jasmine and Siri.

The conversion of 3/2 as a decimal is 1.5.

To convert a fraction to a decimal, you can divide the numerator (the top number) by the denominator (the bottom number) using long division, a calculator, or by using a decimal equivalent chart. It's important to note that some fractions have repeating decimals or do not terminate, such as 1/3 or 7/11. In those cases, the decimal representation is either an infinite non-repeating decimal or a repeating decimal.

To convert a fraction to a decimal, you simply divide the numerator (the top number) by the denominator (the bottom number).

So, to convert 3/2 to a decimal, we can perform the following division:

3 ÷ 2 = 1.5

Therefore, 3/2 as a decimal is equal to 1.5.

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When rotated about the x axis, a cone will form a circle and the sphere will remain a sphere. The prism and cylinder will not form any new figures when rotated about the x axis.

Cone generally refers to a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. It is a surface formed by the straight line segments joining a circle or other closed curve at different levels. Cone shapes are commonly seen in nature, such as in pine cones, ice cream cones, and volcanoes. In mathematics, a cone is a solid figure with a circular base and a curved surface that comes to a point at the top.

A sphere is a three-dimensional object consisting of a perfectly round shape. It is the surface of a perfectly round ball and is mathematically defined as the set of points that are all the same distance from a single point, which is the center. It is one of the most common shapes in geometry and is found in many everyday objects, such as balls and marbles.

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Answer:4

Step-by-step explanation:

The different ways that the people from can randomly sit down in adjacent seats is 138240 ways

Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects. This can be illustrated by nCr

There are 2 people from California, so they can be arranged in 2! = 2 ways.

There are 4 people from Mexico, so they can be arranged in 4! = 24 ways.

Now we can treat the group of Californians and the group of Mexicans as a single block of 6 people (2 Californians and 4 Mexicans), which we can arrange with the 3 people from England. There are 3 + 1 = 4 blocks of 6 people that we can form (one for each possible position of the block), and within each block, there are 6! ways to arrange the people.

Therefore, the total number of arrangements that satisfy the given conditions is:

= 2! * 4! * 4 * 6! = 2 * 24 * 4 * 720

= 138,240 ways

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The length of the wire is given as follows:

21 ft.

Similar triangles are triangles that share these two features presented as follows:

From the similar triangles, the proportional relationship to obtain the height of the tower is given as follows:

4/5 = 13/h

4h = 13 x 5

h = 13 x 5/4

h = 16.25.

Applying the Pythagorean Theorem, the length of the wire is given as follows:

l² = 16.25² + 13²

l = sqrt(16.25² + 13²)

l = 21 ft.

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The area of the composite figure is equal to 52 square units

The composite figure can be observed to be made up of two congruent triangles, and a parallelogram, so we shall calculate for the areas of the three figures and then add the result to get the total area of the composite figure as follows:

area of the one congruent triangles = 1/2 × 8 units × 4 units

area of the one congruent triangles = 16 square units

area of the parallelogram = 5 units × 4 units

area of the parallelogram = 20 square units

total area of the composite figure = 16 square units+ 16 square units + 20 square units

total area of the composite figure = 52 square units

Therefore, the area of the composite figure is equal to 52 square units

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