proportions, assist me please! ​

The height of the tree is 30 times the height of the verticle stick.

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.

A vertical meter stick casts a shadow of 0. 4 meters.

If a tree casts a shadow of 12 meters at the same time.

Let x be the height of the stick and y be the height of the tree. Then we have

y/x = 12/0.4

y/x = 30

  y = 30x

The height of the tree is 30 times the height of the verticle stick.

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Answer:

\(x = 0.4y\)

\(x \: \alpha \: y \\ x = ky \\ k = \frac{x}{y} = \frac{8}{20} = 0.4 \\ the \: relationship \: is : \\ x = 0.4y\)

The line in a graph of an inequality will be solid if the inequality symbol is ≤ or ≥, or if the inequality is true for all values on both sides of the line.

A solid line in a graph of an inequality means that the values on either side of the line are included in the solution set. To determine if an inequality will have a solid line, you must analyze the inequality symbol.

If the inequality symbol is < or >, then the line will be dashed, indicating that only the values on one side of the line are included in the solution set.

If the inequality symbol is ≤ or ≥, then the line will be solid, indicating that values on both sides of the line are included in the solution set.

For example, consider the inequality x ≥ 0. To graph this inequality, you would draw a line at x = 0. Since the inequality symbol is ≥, you would draw a solid line at x = 0, indicating that the values x = 0 and all values greater than 0 are included in the solution set.

You can also determine if an inequality will have a solid line by solving the inequality. If the inequality is true for all values on both sides of the line, then the line will be solid. For example, consider the inequality x² ≥ 0. Solving this inequality, you get x ≥ 0 and x ≤ 0. Since the inequality is true for all values greater than 0 and all values less than 0, you would draw a solid line at x = 0, indicating that all values of x, including x = 0, are included in the solution set.

The line in a graph of an inequality will be solid if the inequality symbol is ≤ or ≥, or if the inequality is true for all values on both sides of the line.

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complete question

How can I tell if an inequality will have a solid line?

Answer:

-3.2

Step-by-step explanation:

Therefore, the solution is closest to the specified area for a N(0, 1) density is 0.264, which is option B.

The area to the left of z = 0.63 for a N(0, 1) density is 0.264.

Firstly, we can draw a normal distribution curve to get a better understanding of the problem.

The normal distribution curve can be drawn in the following way:

Now, we need to find the area under the curve to the left of z = 0.63.

We can do this by using a standard normal distribution table or a calculator that has the normal cdf function.

Using a standard normal distribution table:

We can use the standard normal distribution table to find the area to the left of z = 0.63.

The table gives the area to the left of z = 0.63 as 0.2643.

Rounding this to three decimal places gives us 0.264.

Using a calculator:

If we use a calculator that has the normal cdf function, we can find the area to the left of z = 0.63 as follows:

normal cdf (-infinity,0.63)

This gives us the area to the left of z = 0.63 as 0.2643.

Rounding this to three decimal places gives us 0.264.

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Answer:

Step-by-step explanation:

37

Answer: 37

Step-by-step explanation:

To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode. All you have to do is look for the number that occurs in any of those the lists the most and that number is the mode.

the binary representation of 63.25 as 111111.01.

To convert the decimal number 63.25 to binary, we need to convert the integer part (63) and the fractional part (0.25) separately.

1. Converting the integer part (63):

  Divide 63 by 2, and keep track of the remainders:

  63 ÷ 2 = 31 (remainder 1)

  31 ÷ 2 = 15 (remainder 1)

  15 ÷ 2 = 7 (remainder 1)

  7 ÷ 2 = 3 (remainder 1)

  3 ÷ 2 = 1 (remainder 1)

  1 ÷ 2 = 0 (remainder 1)

  The remainders in reverse order give us the binary representation of the integer part: 111111.

2. Converting the fractional part (0.25):

  Multiply 0.25 by 2 and record the whole number part:

  0.25 × 2 = 0.5 (0)

  0.5 × 2 = 1.0 (1)

  The whole number parts give us the binary representation of the fractional part: 01.

Putting the integer and fractional parts together, we have the binary representation of 63.25 as 111111.01.

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The binary representation of the decimal number 63.25 is 111111.01.

To convert the decimal number 63.25 to binary, we need to separate the whole number part and the fractional part.

Whole Number Part:

Divide the whole number part (63) by 2:

Divide the quotient (31) by 2:

Divide the quotient (15) by 2:

Divide the quotient (7) by 2:

Divide the quotient (3) by 2:

Divide the quotient (1) by 2:

Reading the remainders in reverse order, the binary representation of the whole number part is 111111.

Fractional Part:

To convert the fractional part (0.25) to binary, we multiply the fractional part by 2 and note the whole number part of the result. Repeat this process until the fractional part becomes 0 or until the desired precision is achieved.

Multiply the fractional part (0.25) by 2:

Multiply the fractional part (0.5) by 2:

Since the fractional part becomes 0, we stop the process.

Reading the whole number parts in order, the binary representation of the fractional part is 01.

Combining the binary representation of the whole number part and the fractional part, the binary representation of the decimal number 63.25 is 111111.01.

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The value of x in the chord intersection is 16 units.

The intersecting chord theorem  states that the products of the lengths of the line segments on each chord are equal. In other words, If two chords intersect in a circle , then the products of the measures of the segments of the chords are equal.

Therefore, lets find the value of x in the intersecting chords as follows:

15 × x = 24 × 10

15x = 240

divide both sides of the equation by 15

x = 240 / 15

x = 16

Therefore,

x = 16 units

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Answer:

b=2.6

Step-by-step explanation:

b+2=4.6

Subtract both sides by 2 to isolate b

b+2-2=4.6-2

b=2.6

Therefore, b is equal to 2.6.

I hope this helps!

Answer:

225 lines    *  60 seconds   = 13500 lines = 4500 lines

3 Seconds     1   minute             3 minutes       1   minute

Step-by-step explanation:

Answer: 36 hours

Step-by-step explanation:

Using inverse variation,

7x=14x18

7x=252

x=252/7=36

Therefore, Time taken = 36 hours.

Since we know the rate to fill the reservoir, let's figure out how much water is required:

18 litres/minute × 14 hours × 60 minutes/hour = 15120 litres

Now, divide this value by our new rate, and this should give the time required to fill it, which is:

2160 minutes

Converting it from minutes to hours, the answer is 36 hours.

Hello,

Answer:

4,8

Step-by-step explanation:

what would be 12% of 40 ?

12% × 40 = 12/100 × 40 = 0,12 × 40 = 4,8

Answer:

Square Root, Greatest Integer

Step-by-step explanation:

Functions can be symmetrical in two ways: They can be symmetrical across a line or symmetrical across a point.

In a Square root function, when reflected across the y-axis, the graph has no symmetry because -x returns a different value when plugged into the function.

For a Greatest Integer function, with \(\lfloor x \rfloor\), if we change the value of x to -x and we floor -x, we get a different value than the original.

Hope this helped!

The function f: {(1, 5), (-2, 3), (-4, 2), (2, 5)} is a one-to-one function. It satisfies condition where each input value maps to unique output value, ensuring no repetition or multiple inputs leading to the same output.

A one-to-one function, also known as an injective function, is a type of function where each input value is uniquely mapped to an output value. In the given function f: {(1, 5), (-2, 3), (-4, 2), (2, 5)}, we can observe that each input value corresponds to a distinct output value. For example, the input 1 is mapped to the output 5, and no other input has the same output. Similarly, the inputs -2, -4, and 2 are associated with the outputs 3, 2, and 5 respectively, without any repetition.

This lack of repetition or duplication in the outputs demonstrates that the function is one-to-one. Each input has a unique correspondence with its output, and no two different inputs yield the same output value. Therefore, based on the provided set of mappings, we can conclude that the function f is indeed a one-to-one function.

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Answer:

The answer is -4

Step-by-step explanation:

that would be because that is the answer

the correct answer is B.)  -4      

Answer:

h = - 103/8

Step-by-step explanation:

1) Re-order terms so constants are on the left

8h = = -2(8)²+4(8)-7

2) Evaluate the exponent

8h = -2·64+4(8)-7

3) Multiply the numbers

8h = -128+4(8)-7

4) Multiply the numbers

8h = -128+32-7

5) Add the numbers

8h = -103

6) Divide both sides of the equation by the same term

8h/8 = -103/8

7) Simplify

- Cancel terms that are in both the numerator and denominator

h = -103/8

Answer:

142×11=1152

Step-by-step explanation:

hope it helps you:)

Answer:

4^√16x3

Step-by-step explanation:

Answer:

C IS THE ANSWER

Step-by-step explanation:

plz tell me if I am right plZ

Answer:

c

Step-by-step explanation:

The fraud triangle is a model that describes the three key factors that must be present for fraud to occur: opportunity, rationalization, and pressure.

These factors are often represented as the three sides of a triangle, with fraud being the result at the center.

Opportunity refers to the ability of an individual to commit fraud, either due to a lack of internal controls or the ability to override existing controls. Rationalization refers to the mental process by which an individual justifies the fraudulent behavior to themselves, often by convincing themselves that it is not really wrong or that they have a valid reason for doing it. Pressure refers to the external factors that motivate an individual to commit fraud, such as financial difficulties, job insecurity, or a desire to meet performance targets.

In summary, the fraud triangle indicates that all three conditions of opportunity, rationalization, and pressure must be present for fraud to be perpetrated.

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Answer:

12 over 27 = 4 over 9

Step-by-step explanation:

12 over (12 + 15) = 12 over 27 = 4 over 9

The power to which a number or expression is raised is called the exponent.

1. An exponent is a mathematical notation that represents the power to which a number or expression is raised. It is written as a superscript number or variable placed above and to the right of the base number or expression.

2. The base number or expression is the number or expression that is being multiplied repeatedly by itself, raised to the power of the exponent.

3. The exponent tells us how many times the base number or expression should be multiplied by itself. For example, in the expression \(2^3\), the base is 2 and the exponent is 3. This means that 2 should be multiplied by itself three times: 2 * 2 * 2 = 8.

4. The exponent can be a positive whole number, a negative number, zero, or a fraction. Each of these cases has different interpretations:

  - Positive exponent: Indicates repeated multiplication. For example, \(2^4\)means 2 multiplied by itself four times.

  - Negative exponent: Indicates the reciprocal of the base raised to the positive exponent. For example, \(2^{-3\) means 1 divided by \(2^3\).

  - Zero exponent: Always equals 1. For example, \(2^0\) = 1.

  - Fractional exponent: Represents a root. For example, \(4^{(1/2)\)represents the square root of 4.

5. Exponents follow certain mathematical properties, such as the product rule \((a^m * a^n = a^{(m+n)})\), the quotient rule \((a^m / a^n = a^{(m-n)})\), and the power rule \(((a^m)^n = a^{(m*n)})\).

Remember to use these rules and definitions to correctly interpret and evaluate expressions involving exponents.

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Using substitution, it is found that k = 2 satisfies the differential equation.

The solution is:

\(y = e^{2x} + ke^{-3x}\)

The differential equation is:

\(4y - y^{\prime\prime} = 10e^{-3x}\)

We replace y and it's derivatives in the solution, then:

\(y^{\prime}(x) = 2e^{2x} - 3ke^{-3x}\)

\(y^{\prime\prime}(x) = 4e^{2x} + 9ke^{-3x}\)

Then:

\(4y - y^{\prime\prime} = 10e^{-3x}\)

\(4(e^{2x} + ke^{-3x}) - (4e^{2x} + 9ke^{-3x}) = 10e^{-3x}\)

\(4ke^{-3x} - 9ke^{-3x} = 10e^{-3x}\)

\(-5ke^{-3x} = 10e^{-3x}\)

\(5k = -10\)

\(k = -\frac{10}{5}\)

\(k = -2\)

k = 2 satisfies the differential equation.

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Answer:

k = -2

Step-by-step explanation:

Did the work

Answer:

\( 1 \frac{1}{13}\)

Step-by-step explanation:

\( 1 \frac{2}{5}=\frac{7}{5} \\ \\ 1 \frac{3}{10}=\frac{13}{10} \\ \\ \frac{7/5}{13/10}=\frac{14}{13} =1 \frac{1}{13}\)

Answer:

The slope of the blue line is undefined

Step-by-step explanation:

This is because a vertical line cannot have a numerical value for it's slope. Also, there is no y-intercept

\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Index power,

First of all, any variable or polynomial raised to power 0 results in 1.

Hence, the value is Constant,

Option a.) is Correct

a.) Constant.

Answer:

(1,1), (1,2), (2,1), (2,2)

Step-by-step explanation:

The exact length of the curve is \(& \mathbf{L}=\mathbf{e}^5+\mathbf{4}\).

Let the given equation is \(x=e^t-t, y=4 e^{\frac{t}{2}}, 0 \leq t \leq 5\).

Length of Parametric Curve: A parametric curve is a function expressed in components form, such that x=f(t),y=g(t). The length of a parametric curve on the interval a ≤ t ≤ b is given by the definite integral \($L=\int_a^b \sqrt{\left(\frac{d x}{d t}\right)^2+\left(\frac{d y}{d t}\right)^2} d t$\)

Let’s begin by getting the first derivative of the components of the function with respect to the variable t.

\($$\begin{aligned}x & =e^t-t, y=4 e^{\frac{t}{2}} \\\frac{d x}{d t} & =\frac{d}{d t}\left(e^t-t\right)=\frac{d}{d t}\left(e^t\right)-\frac{d}{d t}(t)=e^t-1 \\\frac{d y}{d t} & =\frac{d}{d t}\left(4 e^{\frac{t}{2}}\right)=\left(4 e^{\frac{t}{2}}\right) \frac{d}{d t}\left(\frac{t}{2}\right)=\left(4 e^{\frac{t}{2}}\right)\left(\frac{1}{2}\right)=2 e^{\frac{t}{2}}\end{aligned}$$\)

Substitute the derivatives into the following definite integral which computes the length of the parametric curve on the interval [a,b]=[0,5].

\($$\begin{aligned}L & =\int_a^b \sqrt{\left(\frac{d x}{d t}\right)^2+\left(\frac{d y}{d t}\right)^2} d t \\& =\int_0^5 \sqrt{\left(e^t-1\right)^2+\left(2 e^{\frac{t}{2}}\right)^2} d t \\& =\int_0^5 \sqrt{\left(e^{2 t}-2 e^t+1\right)+\left(4 e^t\right)} d t \\& =\int_0^5 \sqrt{\left(e^{2 t}+2 e^t+1\right)} d t \\& =\int_0^5 \sqrt{\left(e^t+1\right)^2} d t \\& =\int_0^5\left(e^t+1\right) d t\end{aligned}$$\)

We need to find the value of the definite integral to get the exact length of the curve.

Take out the limits of integration and evaluate the resulting indefinite integral to solve.

\($$\begin{aligned}L & =\left.\left[\int\left(e^t+1\right) d t\right]\right|_0 ^5 \\& =\left.\left[\int e^t d t+\int 1 d t\right]\right|_0 ^5 \\& =\left.\left[e^t+t\right]\right|_0 ^5\end{aligned}$$\)

Evaluate the solution at the limits of integration to get the length.

\($$\begin{aligned}& L=\left[e^{(5)}+(5)\right]-\left[e^{(0)}+(0)\right] \\& L=\left(e^5+5\right)-\left(e^0+0\right) \\& L=e^5+5-(1+0) \\& L=e^5+5-1 \\& \mathbf{L}=\mathbf{e}^5+\mathbf{4}\end{aligned}$$\)

Therefore, the exact length of the curve is \(& \mathbf{L}=\mathbf{e}^5+\mathbf{4}\).

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The rate of population growth is proportional to the logarithm of the ratio of the carrying capacity to the current population.

The Gompertz function is a solution of the differential equation:

dP/dt = c ln(K/P) P

where P(t) is the population at time t, c is a constant, and K is the carrying capacity, i.e., the maximum population that can be sustained by the available resources.

To solve this differential equation, we can use separation of variables:

dP/P ln(K/P) = c dt

Integrating both sides, we get:

∫ dP/P ln(K/P) = ∫ c dt

Integrating the left-hand side requires a substitution. Let u = ln(K/P), then du/dP = -1/P and the integral becomes:

-∫ du/u = -ln|u| = -ln|ln(K/P)|

The right-hand side is just:

c t + C

where C is an arbitrary constant of integration.

Putting these together, we get:

-ln|ln(K/P)| = ct + C

Taking the exponential of both sides, we get:

|ln(K/P)| = e^(-ct-C)

Using the absolute value is unnecessary, since ln(K/P) is always positive, so we can drop the absolute value and write:

ln(K/P) = e^(-ct-C)

Solving for P, we get:

P = K e^(-e^(-ct-C))

This is the Gompertz function, which gives the population as a function of time, under the assumption that the rate of population growth is proportional to the logarithm of the ratio of the carrying capacity to the current population.

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Answer:

your answer is x = 3

Answer:

x = 3

Step-by-step explanation:

2x/3 + 1 = 3

Subtract 1 from both sides

2x/3 = 2

Multiply both sides by 3

2x = 6

Divide both sides by 2

x = 3