Use the ingredients from the food bank’s recipe for vegetable bean soup shown below.

AlternativeText

Anna makes a pot of the soup. She is using a 14-cup measuring cup.

Part A
How many times will Anna need to fill the measuring cup to measure 78 cup of turnips? Show your work.

The steady-state response yss(t) can be determined by evaluating the transfer function T(s) at the frequency of the input function f(t) and multiplying it by the Laplace transform of f(t).

To find the steady-state response yss(t), we first need to find the Laplace transform of the input function f(t). In this case, f(t) = 30sin(2t), so its Laplace transform F(s) can be calculated using the Laplace transform properties. Once we have F(s), we can substitute it into the transfer function T(s) = Y(s) / F(s) and solve for Y(s), which represents the Laplace transform of the steady-state response yss(t). Finally, we can use the inverse Laplace transform to obtain the expression for yss(t). By evaluating this expression at different time points, we can determine the steady-state response of the system to the given input function.

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Answer:

57 1/10

(14× 3/4)+(4× 1/2)+(8× 1/2)+(10× 2/5)+(10× 2/5)+(12× 4/5)= 571/10 or 57× 1/10

Answer:

40%

Step-by-step explanation:

He made 48 naira.

48 = 40% * 120

The graph shown above does not represent a function.

If the curve of the graph is to the right or left, it does not represent a function because an x-value will have only two different y-values that corresponds to it, which is not a characteristic of a function.

The graph shown has the curve with the tip to the right, this means, for example, x-value of 5 has two different y-values of -4 and 4.

Therefore, the graph is not a function.

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The amount of ascent, or vertical distance, divided by the run, or horizontal distance, is how slope is commonly expressed as a percentage.

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There is only one value for x that makes \((x+4)^2=0\)

Given the vertex form of the function expressed as:

\(f(x) = -(x+4)^2+5\)

If the function f(x) = 5

\(5 = -(x+4)^2+5\)

Subtract 5 from both sides

\(5 = -(x+4)^2+5\\-(x+4)^2= 5-5\\-(x+4)^2=0\\\)

Hence there is only one value for x that makes \((x+4)^2=0\)

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Answer:

√9 is rational, since √9=3, others are irrational

Answer: √9

Because √9 = 3 which is a rational number

Must click thanks and mark brainliest

Answer:

2^4*41

Step-by-step explanation:

656=2*2*2*2*41

The conditional probability that a person actually has the disease given a positive test result is approximately 0.0826 (rounded to four decimal places). This probability suggests that the test is not highly reliable.

To determine the conditional probability, we can use Bayes' theorem. Let's denote D as the event that a person has the disease and T as the event that the test result is positive. We are interested in finding P(D|T), the probability that a person has the disease given a positive test result.

According to the problem statement, P(D) = 0.03, which represents the probability that a person chosen at random from the population has the disease. The test has a sensitivity of 0.9, meaning that P(T|D) = 0.9, indicating that the test correctly detects the disease in 90% of individuals who actually have it.

Additionally, the test has a specificity of 0.9, implying that P(T|D') = 0.9, where D' represents the event that a person does not have the disease.

We can now apply Bayes' theorem:

P(D|T) = (P(D) * P(T|D)) / [P(D) * P(T|D) + P(D') * P(T|D')]

Substituting the known values:

P(D|T) = (0.03 * 0.9) / [(0.03 * 0.9) + (0.97 * 0.1)]

Calculating this expression yields P(D|T) ≈ 0.0826, or approximately 8.26%.

Given this result, it can be observed that the conditional probability of having the disease, given a positive test result, is relatively low. This suggests that the test is not highly reliable.

Although the test has a high accuracy in correctly identifying individuals without the disease, it has a significant false-positive rate when it comes to individuals who do have the disease. Therefore, it is important to consider other factors and confirmatory tests before reaching a conclusive diagnosis.

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Step-by-step explanation:

5(x+5x)

=5x+25

Hope it helps

Answer:

30x

Step-by-step explanation:

To get 5 - kilogram mixture, we have to use 1.5 kilograms of pepper cheddar cheese and 3.5 kilograms of Pennsylvania jack that cost $13.20

Given:

Pennsylvania jack cost = $12/kg

Pepper cheddar cheese cost = 16/kg

Here we have to find the 5 kg mixture's proportion.

So, let x be the proportion of  pepper cheddar cheese and it cost $16.

So, it can be written as, 16x.

The remaining part of Pennsylvania jack is 5 - x and it cost $12.

So, it can be represented as 12(5-x).

When we add these two we can get the 5 kg mixtures,

So,

16x+12(5-x)=5(13.20)

=>16x+60-12x=66

=>4x+60=66

=>4x=6

=>x=6/4

=>x=1.5

So, the value of Pennsylvania jack is 5 - x => 5 - 1.5 = 3.5

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Answer:

Step-by-step explanation:

Option A. In observational studies, the variable of interest can be either numerical or categorical, so it does not have to be numerical.

Observational studies are a type of study in which researchers observe and record data on variables of interest without manipulating them directly. These studies are often used in fields such as epidemiology, social sciences, and psychology to investigate relationships between variables and identify potential risk factors for diseases or other outcomes.

The variable of interest in an observational study can be either numerical or categorical. Numerical variables are those that can be measured and expressed as a numerical value, such as age, height, weight, or blood pressure. Categorical variables are those that are qualitative or nominal in nature, such as gender, race, or smoking status.

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In observational studies, the variable of interest ____

A. cannot be numerical.

B. must be numerical.

C. is controlled.

D is not controlled.

Answer:

I think the answer is 3

Step-by-step explanation:

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Answer:

stocks, bonds, mutual funds, and collectables

Step-by-step explanation:

For a given discrete probability distribution, The random variable also contains discrete values, The mean and standard deviation are computed in terms of Expected values E(X).

The mathematical formalization of a number or object that is subject to chance events is known as a random variable. It is a function or mapping between a space of potential outcomes, commonly real numbers, to a space of measurement.

The arithmetic mean, also known as the arithmetic average or simply the mean or average, is the sum of a set of numbers divided by the total number of numbers in the set. The collection frequently consists of a series of findings from a survey, experiment, or observational study.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

For discrete probability distribution with P(x) as the probability of the event 'x'.

Mean = E(X) = x*P(x).

Variance = \(E(X^{2})-(E(X))^2\)

standard deviation = \(\sqrt {Variance}\)

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Answer:

the third choice is the answer.

Step-by-step explanation:

the chance of recieve a blue pen

= 0.008

the chance of recieve a blue tote bag

= 0.04

0.008 < 0.04

The 100th term in the sequence 5, 9, 13, 17,.. is term 401.

The arithmetic sequence:

5, 9, 13, 17,...

To find,

Which term of the arithmetic sequence 5, 9, 13, 17,...is 401​.

Concept,

For a given A.P. sequence if the first term is 'a', the common difference is 'd', then the aₙth term is given by:

aₙ = a + (n - 1)d....(1)

Calculation,

Here in the given sequence:

5, 9, 13, 17,..

a = 5, d = 9 - 5 = 4, and aₙ = 401, n = n, substitute in equation (1)

401 = 5 + (n - 1)4

⇒ 396 = (n - 1)4

⇒ n - 1 = 99

⇒ n = 100

Therefore, the 100th term in the sequence 5, 9, 13, 17,.. is term 401.

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Answer:

45°

Step-by-step explanation:

Let :-

We know :-

On adding :-

→ x + 3x = 180°

→ 4x = 180°

→ x = 180°/4

→ x = 45°

Answer:

10$

Step-by-step explanation:

dollars hope it helps

Answer:

its 10$

Step-by-step explanation:

Answer:

pretty sure it's 17

Step-by-step explanation: just did it

The value of the expression is 11.032

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

28 - 12 √(n ÷ 2)

Sustitute n = 4

= 28 - 12 √(4 ÷ 2)

= 28 - 12√2

= 28 - 12 x 1.414

= 28 - 16.968
= 11.032

Thus,

The value is 11.032

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Using the trigonometry ratios, the value of x in both right triangles are: 9.4 and 25.4

The trigonometry ratios are SOHCAHTOA, which are used for solving a right triangle.

1. Find x using TOA:

tan 38 = opp/adj = x/12

x = (tan 38)(12)

x = 9.4

2. Find x using SOH:

sin 52 = opp/hyp = 20/x

x = 20/sin 52

x = 25.4

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Answer:

b-72

Step-by-step explanation:

an expression does not have an answer. she has b amount of buttons and gives away 72.

EXPLANATION:

To solve the exercise we must make a rule of three.

The exercise is as follows:

Answer:

i attatched a picture of how it should look

Step-by-step explanation:

Answer: We on da same question i do not know

Step-by-step explanation:

Sarah's charges per hour for working during the week will be $9.5.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.

Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be

45x + 5y = 902.5           ...1

50x + 10y = 1045

25x + 5y = 522.5          ...2

Subtract equation 2 from equation 1, then we have

45x - 25x = 902.5 - 522.5

20x = 380

x = 19

And the value of y will be

25 (19) + 5y = 522.5

475 + 5y = 522.5

5y = 47.5

y = 9.5

Sarah's charges per hour for working during the week will be $9.5.

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