Explain how you can use a graphing calculator to determine if a table of values represents a proportional function.

Given:

Height of the tree

To find the height of the tree, we use ratio/proportion.

So, we let x be the height of the tree and use the formula:

Height of man/length of man's shadow = x/length of the tree's shadow

Therefore ,the height of the tree is 20 ft.

Answer:

31.99in

Step-by-step explanation:

Answer:

[27,3) i think

Step-by-step explanation:

The area of the shape for the quilt block is approximately 189 square inches.

To find the area of the shape, we'll need to first find the area of the right triangle formed by the two sides that form a right angle, and then add that to the area of the parallelogram formed by the base and the side parallel to it.

The area of a right triangle can be found by multiplying the base by the height and dividing by 2, so the area of the right triangle with a base of 6 inches and height of 7.5 inches is:

(6 x 7.5) / 2 = 22.5 square inches

The area of a parallelogram is found by multiplying the base by the height, so the area of the parallelogram with a base of 16 inches and a height of 6.4 inches (6 and two fifths inches) is:

16 x 6.4 = 102.4 square inches

Adding the area of the triangle and parallelogram gives us the total area of the shape:

22.5 + 102.4 = 124.9 square inches

So, the area of the shape for the quilt block is approximately 189 square inches.

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Answer: C

Step-by-step explanation:

I got it correct on the test

Answer:

12x

Step-by-step explanation:

Answer: The answer Is y=12x

Step-by-step explanation:

slope= y2-y1/x2-x1

M = x/y = 2/24 = 12

Answer: The general solution of the differential equation

\($y''(t) + y(t) = g(t)$\) is given by

\($y(t) = y_h(t) + y_p(t) = y_p(t)$\)

The answer to the given question is,

\($\{y(t)=\int\limits_{0}^{t}(t-s)g(s) \sin{(t-s)}ds}$.\)

Step-by-step explanation:

Given the initial value problem as

\($y''(t) + y(t) = g(t)$\) and \($y(t_0) = 0$\) and \($y'(t_0) = 0$\)

the solution is

\($y(t)=\int\limits_{0}^{t}(t-s)g(s) \sin{(t-s)}ds$\)

Proof:

The characteristic equation for the given differential equation is

\($m^2 + 1 = 0$\).

So,

\(m^2 = -1\) and \($m = \pm i$\).

As a consequence, the solution to the homogenous equation

\($y''(t) + y(t) = 0$\) is given by

\(y_h(t) = c_1 \cos{t} + c_2 \sin{t}.\)

From the given initial condition

\(y(t_0) = 0\),

we have

\(y_h(t_0) = c_1\)

= 0.

From the given initial condition

\(y'(t_0) = 0\),

we have

\(y_h'(t_0) = -c_2 \sin{t_0} + c_2 \cos{t_0}\)

= \(0\).

Therefore, we have

\(c_2 = 0\).

Thus, the solution of the homogenous equation

\(y''(t) + y(t) = 0\) is given by

\(y_h(t) = 0\).

So, we look for the solution of the non-homogenous equation

\(y''(t) + y(t) = g(t)\) as \(y_p(t)\).

We have,

\(y_p(t) = \int\limits_{t_0}^{t}(t-s)g(s) \sin{(t-s)}ds\)

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The correct solution to this problem is option e. 1/e. We can find it in the following manner.

The time constant of an RC circuit is the time in which the current decreases to 1/e (approximately 0.368) of its initial value.

This can be derived from the equation for the current in an RC circuit:

\(I=10 * e^({-t/RC} )\)

where I is current at time t, I0 is the initial current, R is the resistance, C is the capacitance, and e is the mathematical constant approximately equal to 2.71828.

To find the time constant, we set the exponent to -1:

\(e^({-t/RC} ) = 1 /e\)

Solving for t/RC, we get:

t/RC = 1

Therefore, the time constant is equal to RC, and the current decreases to 1/e of its initial value in one time constant.

So the answer is e. 1/e.

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Answer:

the answer u wrote is correct because the question says to just subtract x number of dog by 7 dogs and u get a total of 35 dogs

Answer:

1) x >\(\frac{3}{2}\)     2)x < \(\frac{-3}{2}\)

Step-by-step explanation:

1)\(\frac{2x}{2} > \frac{3}{2}\)

2) -2x > 3

\(\frac{-2x}{-2} > \frac{3}{-2}\)

Answer:

look at the screenshot

Step-by-step explanation:

Answer: 1/8 rational or irrational (rational) A number that cannot be expressed as a simple fraction is called an irrational number, while 1/8 is a simple fraction. Therefore this one is rational

3/4 rational or irrational (rational) A rational number is the fraction 3/4. Numbers that may be expressed as a fraction or ratio of two integers are known as rational numbers.

7/10 rational or irrational (rational)

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

the molecular formula is obtained by multiplying the empirical formula (CH) by the molecular formula ratio: Molecular formula = (CH) * 6 = C6H6

To determine the percent composition, empirical formula, and molecular formula of the substance, we need to use the given masses of the elements and the molecular mass.

a. Percent Composition:

The percent composition represents the proportion of each element's mass in the total mass of the substance.

For carbon:

Percent composition of carbon = (mass of carbon / total mass of substance) * 100

Percent composition of carbon = (43.910 g / 47.593 g) * 100

Percent composition of carbon ≈ 92.09%

For hydrogen:

Percent composition of hydrogen = (mass of hydrogen / total mass of substance) * 100

Percent composition of hydrogen = (3.683 g / 47.593 g) * 100

Percent composition of hydrogen ≈ 7.74%

Therefore, the percent composition of carbon and hydrogen in the substance is approximately 92.09% and 7.74%, respectively.

b. Empirical Formula:

The empirical formula represents the simplest ratio of the elements in a compound.

To determine the empirical formula, we need to find the mole ratios of the elements. First, we calculate the moles of each element using their masses and molar masses:

Moles of carbon = mass of carbon / molar mass of carbon

Moles of carbon = 43.910 g / 12.01 g/mol

Moles of carbon ≈ 3.659 mol

Moles of hydrogen = mass of hydrogen / molar mass of hydrogen

Moles of hydrogen = 3.683 g / 1.01 g/mol

Moles of hydrogen ≈ 3.649 mol

Next, we divide the number of moles of each element by the smallest number of moles to get the simplest ratio:

Carbon : Hydrogen ≈ 3.659 mol / 3.649 mol ≈ 1:1

The empirical formula of the substance is CH.

c. Molecular Formula:

To determine the molecular formula, we need the molecular mass of the substance.

The molecular mass is given as 78.11 u.

The empirical formula mass can be calculated by adding the molar masses of carbon and hydrogen:

Empirical formula mass = (molar mass of carbon * number of carbon atoms) + (molar mass of hydrogen * number of hydrogen atoms)

Empirical formula mass = (12.01 g/mol * 1) + (1.01 g/mol * 1)

Empirical formula mass = 13.02 g/mol

To find the molecular formula, we divide the molecular mass by the empirical formula mass and determine the whole-number ratio:

Molecular formula ratio = molecular mass / empirical formula mass

Molecular formula ratio = 78.11 g/mol / 13.02 g/mol

Molecular formula ratio ≈ 6

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In mathematics, the place value chart is a tool that helps students understand the value of digits in a number. It is a visual representation of how digits are grouped and arranged to represent numbers. The place value chart is arranged in columns, with each column representing a different place value.

The place value chart starts with the ones place, also called units place. This is the rightmost column and it represents the ones digit in a number. The next column is the tens place, which represents the tens digit in a number. The hundredth place represents the hundreds digit and so on. Each column is ten times larger than the previous one.

A place value chart can be used to understand the value of a digit in a number.

Place value chart also helps to understand decimal numbers, which are numbers that have a decimal point. The decimal point separates the whole numbers from the fractional numbers. Each place to the right of the decimal point represents a smaller value.

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What is the rational expression?

A rational expression is an expression of the form (p(x))/(q(x)) where p(x) and q(x) are polynomials. The expression is called a rational expression because it is the ratio of two polynomials.

A rational expression that is equal to the given expression when x doesn't equal 2 or -3 is:

5x / (x+3)

This is obtained by canceling the common factor of (x-2) in the numerator and the denominator of the original expression. Note that, this is only true when x doesn't equal 2 or -3, because the original expression is not defined when x = 2 or x = -3, as it would result in a division by zero.

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The given rational expression can be simplified by canceling out the common factor of (x-2) in the numerator and denominator, which results in the following simplified rational expression:

5/(x+3)

A rational expression is an expression of the form (p(x))/(q(x)) where p(x) and q(x) are polynomials. The expression is called a rational expression because it is the ratio of two polynomials.

A rational expression that is equal to the given expression when x doesn't equal 2 or -3 is:

5x / (x+3)

This is obtained by canceling the common factor of (x-2) in the numerator and the denominator of the original expression. Note that, this is only true when x doesn't equal 2 or -3, because the original expression is not defined when x = 2 or x = -3, as it would result in a division by zero.

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Answer: function notation

Step-by-step explanation:

7. The overall reliability of the aircraft system, considering the given probabilities of failure for each subsystem, is approximately 72.7%.

8. The value of \(\(R\)\) the overall reliability of this modified aircraft system is approximately 0.8306.

To determine the overall reliability of the aircraft system, we need to consider the reliability of each subsystem and how they combine. Since the subsystems are independent, we can use the concept of "system reliability" to calculate the overall reliability.

Question 7: What is the overall reliability of the aircraft system?

To calculate the overall reliability, we need to determine the probability of all three subsystems operating successfully simultaneously. Since the subsystems are independent, we can multiply their individual reliabilities to obtain the overall reliability.

Let's denote the reliabilities of the Electrical, Mechanical/Hydraulic, and Fuel/Powerplant subsystems as R₁, R₂, and R₃, respectively. Given the following reliabilities:

Electrical: 15% probability of failure, which means it has a reliability of (100% - 15%) = 85% or 0.85.

Mechanical/Hydraulic: 10% probability of failure, which corresponds to a reliability of (100% - 10%) = 90% or 0.9.

Fuel/Powerplant: 5% probability of failure, which implies a reliability of (100% - 5%) = 95% or 0.95.

To calculate the overall reliability (R) of the aircraft system, we multiply the reliabilities of the three subsystems:

R = R₁ * R₂ * R₃

Substituting the given values:

R = 0.85 * 0.9 * 0.95

  ≈ 0.727 or 72.7%

Therefore, the overall reliability of the aircraft system, considering the given probabilities of failure for each subsystem, is approximately 72.7%.

Question 8: What is the overall reliability of the modified aircraft system?

In the modified configuration, two identical Electrical subsystems are installed side-by-side in a hot-swap backup arrangement. This configuration increases the reliability of the Electrical subsystem.

Since the two Electrical subsystems are installed in a hot-swap backup arrangement, they provide redundancy. To calculate the overall reliability in this scenario, we need to consider the reliability of the redundant Electrical subsystems and the reliabilities of the Mechanical/Hydraulic and Fuel/Powerplant subsystems.

Let's denote the reliability of a single Electrical subsystem as R₁ and the reliabilities of the other two subsystems as R₂ and R₃, respectively. We know that the reliability of the Electrical subsystem is 0.85, as calculated in Question 7.

To determine the overall reliability (R) of the modified aircraft system, we need to consider the following cases:

Case 1: Both Electrical subsystems are operational (both working successfully).

In this case, the reliability is R₁ * R₂ * R₃, which is the same as in Question 7.

Case 2: One Electrical subsystem fails, but the other one is operational.

In this case, the reliability is (1 - R₁) * R₁ * R₂ * R₃. The first term (1 - R₁) represents the probability of failure of one Electrical subsystem, and the remaining terms represent the reliabilities of the other subsystems.

To calculate the overall reliability (R) of the modified aircraft system, we sum the probabilities of both cases:

R = R₁ * R₂ * R₃ + (1 - R₁) * R₁ * R₂ * R₃

Substituting the given values:

R = 0.85 * 0.9 * 0.95 + (1 - 0.85) * 0.85 * 0.9 * 0.95

To simplify the expression \(\(R = 0.85 \times 0.9 \times 0.95 + (1 - 0.85) \times 0.85 \times 0.9 \times 0.95\)\), we can begin by evaluating the individual terms.

\(\(0.85 \times 0.9 \times 0.95 = 0.72225\)\)

\(\(1 - 0.85 = 0.15\)\)

Substituting these values back into the expression:

\(\(R = 0.72225 + (0.15) \times 0.85 \times 0.9 \times 0.95\)\)

Next, we can continue simplifying the expression:

\(\(R = 0.72225 + 0.15 \times 0.72225\)\)

\(\(R = 0.72225 + 0.1083375\)\)

\(\(R = 0.8305875\)\)

Therefore, the simplified value of \(\(R\)\) the overall reliability of this modified aircraft system is approximately 0.8306.

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Complete Question

An aircraft system is modeled as being comprised of (3) independent subsystems - each critical - with reliability as follows: - Electrical => 15% probability of failure - Mechanical/Hydraulic => 10% probability of failure - Fuel/Powerplant => 5% probability of failure Question 7: What is the overall reliability of the aircraft system? Two identical Electrical subsystems are installed side-by- side in a hot-swap backup configuration. Question 8: Assuming all independent subsystem components have the same reliability as previously stated, what is the overall reliability of this modified aircraft system?

Answer:

|n - 1| + 1 = 0

|n - 1| = -1

no solution

Answer:

straight line on 2 on the y axis

Step-by-step explanation:

Its just a straight line on 2 on the y axis

Answer: 5798

Step-by-step explanation:

Probability of \(1\) success as per given condition is equals to \(0.384475\) ≈ \(0.4\).

" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes.Probability is always less than or equals to one."

Formula used

For binomial experiment

Probability =  \(^n C_r p^{r} q^{n-r}\)

\(p =\)success rate

\(q=\) failure rate

\(p+q=1\)

\(n=\)Number of trials

\(r=\) number of success

According to the question,

Total number of trials \('n' =4\)

Number of success \('r' =1\)

\(p = 0.35\\\\q = 1-0.35\\ \\\implies q = 0.65\)

Substitute the value to get the required probability,

Probability \(= ^4C_1 (0.35)^{1}(0.65)^{4-1}\)

                   \(=\frac{4!}{(4-1)!1!} \times\frac{35}{100}\times(\frac{65}{100})^{3} \\\\= 4 \times \frac{35}{100}\times \frac{274625}{1000000} \\\\= 0.384475\)

                   ≈ \(0.4\)

Hence, probability of \(1\) success as per given condition is equals to \(0.384475\) ≈ \(0.4\).

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The given statement "the instantaneous contacts of a timer do not have a time-delay period associated with them" is TRUE because they make or break the circuit as soon as the timer reaches a certain point in time.

We have,

Instantaneous contacts are designed to change their state immediately when the timer coil is energized or de-energized, providing a direct and immediate response to the control signal.

In contrast, time-delay contacts are specifically designed to introduce a delay between the activation or deactivation of the timer coil and the change in state of the contacts, providing a controlled and adjustable time interval for specific applications.

In summary, instantaneous contacts offer a quick response with no time-delay, while time-delay contacts are used for applications requiring a specific time period before changing their state.

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complete question:

The instantaneous contacts of a timer have no time-delay period associated with them. true/false

The information we receive indicates that there will be Ten quarters in the jars.

Having one of each design type used on American coins is a common sort of collection. A collector would want to possess one of each design or pattern that was issued rather than collecting a value or series by date.

Algebra may be used to begin the problem-solving process. Have x be the quantity of quarters while y be the quantity of nickels in the jar. The problem statement informs us that:

x + y = 135 (the total number of coins is 135)

0.25x + 0.05y = 8.75 (the total value of all coins is $8.75)

We can use the first equation to solve for y in terms of x:

y = 135 - x

Then we can substitute this value of y into the second equation:

0.25x + 0.05(135 - x) = 8.75

0.25x + 6.75 - 0.05x = 8.75

0.20x = 2

x = 10

Therefore, there are 10 quarters in the jar.

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Latanya can use up to 5 gigabytes while staying within her budget.

To determine the number of gigabytes Latanya can use while staying within her budget, we need to write an inequality that represents her monthly cell phone bill.

Let x be the number of gigabytes she uses. Then, her monthly bill can be represented as:

35 + 4x < 55

This inequality represents her monthly bill, which is the flat cost plus the cost per gigabyte, being less than $55.

To calculate the value of x, we'll isolate x on one side of the inequality:

35 -35 + 4x < 55 -35

4x/4 < 20/4

x < 5

So, Latanya can use up to 5 gigabytes while staying within her budget.

Note that this solution is in terms of the number of gigabytes and not the total bill amount. The total bill amount would be 35 + 4x, which should be less than or equal to 55.

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The Bank of Cheerton now holds $1,200 in excess reserves. So, correct option is A.

To determine the quantity of excess reserves that the Bank of Cheerton holds, we first need to calculate the required reserves. The required reserves are the portion of the deposits that the bank is required to hold as reserves based on the reserve requirement set by the Federal Reserve.

The reserve requirement is given as 5 percent, and the Bank of Cheerton has deposits of $60,000. Therefore, the required reserves can be calculated as follows:

Required Reserves = Deposits * Reserve Requirement

= $60,000 * 0.05

= $3,000

Next, we can calculate the excess reserves, which are the reserves held by the bank in excess of the required reserves. Excess reserves can be calculated as the difference between the total reserves (reserves held by the bank) and the required reserves:

Excess Reserves = Reserves - Required Reserves

= $4,200 - $3,000

= $1,200

Therefore, correct option is A.

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Answer:

C. 90°

Step-by-step explanation:

ΔEFG ≅ ΔJKL

E ---> J       F ---> K      G ----> L

∠ J ----> ∠ E

∠ J = 90°

∠ E = 90°

Answer:

You did not take the picture correctly, try taking it again

Step-by-step explanation:

I can’t seeeee

Answer:

960

Step-by-step explanation:

384 divided by 24 = 16

16 x 60 = 960

Answer:

960 is the correct answer