Over ten years, the population of fish in a lake increases by 3%. After the increase, there are 10,094 fish. Which expressions are equivalent to the number of fish ten years before? Select all that apply.

Answer:

4

Step-by-step explanation:

the answer is 4 because if it is 10 ture or flase quiz u need to subtract 10 and 6 and that will give u 4

Using the vertical line test, the graph that represents a function is: Graph C.

A simple test we can carry out quickly to determine if a graph represents a function is the vertical line test.

Using the vertical line test, a vertical line is drawn across the curve in the given plane. If the vertical line intersect the curve more than once, it is not a function, but if it intersects the curve at just exactly one point, then the graph represents a function.

If we draw a vertical line across each of the given graphs, only the graph in option C will be intersected at exactly only one point.

Therefore, graph C represents a function.

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CALCULATE THE AREA

=LENGTH X BREADTH

=6M X 1M

\(6 {m}^{2} \)

NOW CHANGE THE METRES TO MILLIMETRES

=1000MM=1M

SO,IF 1M=1000MM

THEN 6M=MORE

IF MORE LESS WILL DIVIDE

GIVING YOU

\( \frac{6}{1} \times 1000mm\)

\(6000mm\)

The value of g(1) is approximately 0.491, obtained by integrating g'(x) and using the initial condition g(4)=0.325 to determine the constant of integration

the value of g(1) is determined by integrating the given derivative function g'(x) and evaluating it at x=1.

The initial condition g(4)=0.325 is also provided, which can be used to solve for the constant of integration.

integrating the given derivative function g'(x) involves finding the antiderivative of each term separately.

The antiderivative of 1/x is ln(x), the antiderivative of\(e^(-x) -e^(-x),\) and the antiderivative of\(cos(x^100)\) is \(sin(x^100)/100.\)

After integrating each term, we obtain g(x) = ln(x) - e^(-x) \(sin(x^100)/100.\) + C, where C is the constant of integration.

Using the initial condition g(4) = 0.325, we can substitute x=4 and solve for C.

Plugging in the values, 0.325 = \(ln(4) - e^(-4) sin(4^100)/100\) + C. By evaluating this equation, we can find the value of C.

Finally, with the constant of integration C determined, we can substitute x=1 into the function g(x) = \(ln(4) - e^(-4) sin(4^100)/100\) + C to find the value of g(1).

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To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.

The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.  

The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.

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<x = 0 + 2t, y = 15 - 3t, z = -6 + 7t> is the vector parametric equation of the line parallel to the given one and that passes through the point (0, 15, −6).

According to the statement

we have to find that the vector equation with the help of the given line equation and the points.

So, For this purpose, we know that the

A vector equation is an equation involving a linear combination of vectors with possibly unknown coefficients.

And the given points is (0, 15, −6) and the lines

x = −1 + 2t,

y = 6 − 3t,

z = 3 + 7t

From these equation of lines:

Let a = -1 and b = 6 and c = 3

Then

Now, if we want this line to pass through the point (0, 15, -6), then we can replace the correspondent values in the constant term for each equation:

So, Put it in the given equations then

x = 0 + 2t and y = 15 - 3t and z = -6 + 7t

and the vector equation become

<x = 0 + 2t, y = 15 - 3t, z = -6 + 7t>

So, <x = 0 + 2t, y = 15 - 3t, z = -6 + 7t> is the vector parametric equation of the line parallel to the given one and that passes through the point (0, 15, −6).

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a. The amplitude of the given trigonometric function is 2.

b. The period of the function is π, and the function is shifted horizontally by π/2 to the right.

c. The graph of the function will have maximum and minimum points, as well as x-intercepts, which can be plotted to sketch one complete cycle.

a. The amplitude of a trigonometric function represents the maximum absolute value or distance from the midline to the peaks or troughs of the function. In this case, the coefficient of sin(2x - π) is 2, which indicates that the amplitude of the function is 2.

b. The period of a trigonometric function is the distance it takes to complete one full cycle or oscillation. For the given function, sin(2x - π), the coefficient of x is 2, which affects the frequency or rate of oscillation. The general formula for the period of sin(ax + b) is given by T = 2π/|a|. In this case, the coefficient of x is 2, so the period of the function is π.

Additionally, the function is shifted horizontally by π/2 to the right. This shift is determined by the term inside the sine function, 2x - π. To find the horizontal shift, we equate 2x - π to 0 and solve for x. The shift is equal to π/2.

c. To sketch one complete cycle of the graph of the function, we start by plotting the maximum and minimum points. Since the amplitude is 2, the maximum point will be at 2 units above the midline, and the minimum point will be at 2 units below the midline. The midline is the x-axis in this case.

Next, we can determine the x-intercepts by setting the function equal to 0 and solving for x. This will give us the points where the graph intersects the x-axis.

By plotting these points and connecting them smoothly, we can sketch one complete cycle of the graph. The labels of maximum, minimum, and x-intercepts can be added to the corresponding points to provide clarity in the graph.

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The number of children admitted is 164 and the number of adults admitted is 195  

A linear Equation is a mathematical expression that is used to find unknown numbers. In this, we use different variables to represent the unknown number.

To find the unknown number obtain a linear equation according to the given condition and solve the equations.  

Here we have,

The admission fee for children is 1.5 dollars

The admission fee for adults is 4 dollars

On a certain day, 359 entered the park

Since we don't know the number of children and adults we will use different variables to represent them as shown below

Let x be the number of children

Let y be the number of adults

From the given data

=> x + y = 359 -----(1)

Admission fee collected for x children = 1.5 × x = 1.5x

Admission fee collected for y adults = 4 × y = 4y  

And total fee collected = 1.5x + 4y = 1026 ----(2)

To find the number of children and adults solve (1) and (2)

(1) × 1.5  => 1.5x + 1.5y = 538.5 ---- (3)  

Now do (2) - (3)

=> 1.5x + 4y - (1.5x + 1.5y)  = 1026 - 538.5

=> 1.5x + 4y - 1.5x - 1.5y  = 487. 5

=>  2.5y = 487. 5  

=>  y = 487. 5 /2 = 195

Now substitute y = 195 in (1)

=>  x + 195 = 359

=>  x = 164

Therefore,

The number of children admitted is 164 and the number of adults admitted is 195  

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Answer:

The correct answer is B. Long-term.

Step-by-step explanation:

Since Zach has bought a car for $ 20,000 paying a down payment of $ 5,000 and monthly payments of $ 450 per month for 5 years, he will be paying a total of $ 32,000 for that car (5,000 + 450 x 12 x 5). Thus, the responsibility that Zach has incurred forces him to maintain his monthly payment obligation for 5 years, thus becoming a long term liability.

Answer:

7/8

Step-by-step explanation:

because the are 8 pieces in the entire circle and Tara eats 7 out of 8 of them

Answer:

20.

|3 + 10| = |13| = 13

|3| + |10| = 3 + 10 = 13

Both equal 13.

The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.

Let's match each expression with its corresponding value:

Expression: -9

Value: -9

Expression: 7

Value: 7

Expression: -2

Value: -2

Expression: Undefined

Value: Undefined

Expression: h(3.999)

Value: Undefined

Expression: h(4)

Value: 8

Expression: h(4.0001)

Value: Undefined

Expression: h(9)

Value: Undefined

Now let's explain the reasoning behind each value:

The expression -9 represents the number -9, so its value is -9.

Similarly, the expression 7 represents the number 7, so its value is 7.

The expression -2 represents the number -2, so its value is -2.

When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.

For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.

The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.

Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.

Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.

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Answer:

b) 68%

The percentage of the parts will have lengths between 3.8 in. and 4.2 in

P( 3.8 ≤ x ≤ 4.2) = 0.6826 = 68 %

Step-by-step explanation:

Let 'X' be the normally distributed

mean 'μ'= 4 inches

standard deviation 'σ' = 0.2 inches

Case(i):-

when x₁ = 3.8 inches

\(Z_{1} = \frac{x_{1}-mean }{S.D} = \frac{3.8-4}{0.2} = -1\)

Case(ii):-

when  x₂= 3.8 inches

\(Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{4.2-4}{0.2} = 1\)

The probability of the parts will have lengths between 3.8 in and 4.2 in

\(P( 3.8\leq x\leq 4.2) = P(-1\leq z\leq 1)\)

                        = P(Z≤1) - P(Z≤-1)

                        =  0.5 +A(1) -(0.5-A(1)

                       = 2 A(1)

                       = 2×0.3413

                      = 0.6826

Conclusion:-

The percentage of the parts will have lengths between 3.8 in. and 4.2 in

P( 3.8 ≤ x ≤ 4.2) = 0.6826 = 68 %

Answer:

B

Step-by-step explanation:

E2020

Amy will choose the second restaurant to purchase pizza. Because the second one is cheaper.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given,

the first restaurant charges a delivery fee of $6 for the entire purchase and $13 per pizza.

The second restaurant has no delivery fee and charges $16 per pizza.

And Amy will choose between two restaurants to purchase pizzas for her party.

The cost of one pizza of the first restaurant:

Cost = delivery fee + price of one pizza

        = $6 + $13

         = $19

The cost of one pizza of the second restaurant:

Cost = delivery fee + price of one pizza

          = $0 + $16

         = $16

And 16< 19

The second restaurant is cheaper.

Therefore, Amy will choose the second restaurant to purchase pizza.

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Answer:

{y: y = –7, –2, 3, 8}

Step-by-step explanation:

Answer: 2 units.

Step-by-step explanation: When you graph the points given, it gives you this shape in the image below.  The hypotenuse (longest side of triangle) is found by doing the following:

a^2 + b^2 = c^2, where a and b are the legs (the other sides of the triangle) and c is the hypotenuse.

5^2 + 2^2 = 29.

√ 29 ≈ 5.38, and that is the length of the hypotenuse.

The shortest side is the bottom side, which is 2 units.  Therefore, that is your answer.

Let me know if this is right! :)

Answer:

the tenth letter of the alphabet.

Step-by-step explanation:

Js is just the plural version of J.

Answer:a simple answer

Step-by-step explanation:the question asks: "Js need a simple answer"

So what they need is "a simple answer"!

Answer: D.

Step-by-step explanation:

You can start out with the form AX = B and solve for matrix X that would yield the answer

Then X = (A^-1)(B)

A = [1    -1]

      [1     1]

A^-1 = (1/(1 - (1)(-1)))*[1    1]

                             [-1   1]

which can be written as (1/2) * [1    1]

                                                  [-1   1]

B = [26]

     [6]

(A^-1)(B) = (1/2)*[1    1] [6]

                        [-1   1] [26]

= (1/2)*[32]

          [20]

= [16]

  [10]

Answer:

4,9

Step-by-step explanation:

Answer:

4,9

Step-by-step explanation:

The numerical or verbal descriptions that usually result from measurements are called data or observations.

When measurements are conducted, whether in scientific experiments, surveys, or other data collection processes, the outcome is typically a set of data or observations.

These measurements can be represented numerically, such as numerical values or quantities, or verbally, using descriptive terms or categories.

Numerical descriptions provide precise quantitative information, such as measurements of length, weight, temperature, time, or any other measurable attribute. These measurements are often expressed using numbers or units of measurement.

Verbal descriptions, on the other hand, use words or qualitative descriptions to convey information about the observations.

For example, when conducting a survey, respondents might provide verbal responses that describe their opinions, preferences, or experiences.

Both numerical and verbal descriptions play important roles in data analysis and interpretation.

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The modified Reynolds analogy, also known as the Chilton-Colburn analogy, is expressed mathematically as Nu = f * Re^m * Pr^n. It relates the convective heat transfer coefficient (h) to the skin friction coefficient (Cf) in fluid flow. This equation is widely used in heat transfer analysis and design applications involving forced convection.

The modified Reynolds analogy is a useful tool in heat transfer analysis, especially for situations involving forced convection. It provides a correlation between the heat transfer and fluid flow characteristics. The Nusselt number (Nu) represents the ratio of convective heat transfer to conductive heat transfer, while the Reynolds number (Re) characterizes the flow regime. The Prandtl number (Pr) relates the momentum diffusivity to the thermal diffusivity of the fluid.

The equation incorporates the friction factor (f) to account for the energy dissipation due to fluid flow. The values of the constants m and n depend on the flow conditions and geometry, and they are determined experimentally or by empirical correlations. The modified Reynolds analogy is widely used in engineering calculations and design of heat exchangers, cooling systems, and other applications involving heat transfer in fluid flow.

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Answer:

4 6/10+ 6 8/10= 11 4/10

Step-by-step explanation:

The 4+6=10, and 6/10+8/10=14/10 which converts to 1 4/10. 10+1 4/10= 11 4/10

Answer:

11 and 4/10

Step-by-step explanation:

Hope this helps!

There are 13 dimes and 32 nickels.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

A collection of nickels and dimes is worth $2. 90.

There are 19 more nickels than dimes.

Let n be number of nickels and d be number of dimes

As, Nickels are worth 5 cents and dimes 10 cents so

5n+ 10d = 2.90

Now, n= d+ 19

So, 5(d+ 19)+ 10d= 290

5d + 95 + 10d= 290

15d= 290-95

d= 13

and, n= 13 +19 = 32

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Step-by-step explanation:

This is the answer for 1., but the steps are the same for the rest of the questions, so I am sure you will be able to get the rest!

Slope is the value in front of the X and basically tells us how far up or down the line moves in 1 square across the line. It goes up if it is positive, and down if it is negative.

Y-intercepts can be found by plugging in 0 for x.

For question 1:

y=\(\frac{3}{5}\)(0)+3=3 so the y-intercept is 3 up from 0.

Then, we can use our slope which is a fraction, the top can be thought of as rise and the bottom is run. This means each point will be 3 up and 5 to the right.

Answer:

2/ Points at (0,-5), ( 1,-4), (2,-3)

Step-by-step explanation:

The slope is rise/run

The slope is x, which mean = 1

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We have that, the values of the trigonometric functions are going to be given by

\(sin t =  -0.98\\cost = -0.15\\tan t = -6.40\\cot t = -0.16\\sec t = -6.71\\csct = -1.02\\\)

The trigonometric functions of t, in Quadrant IV, can be found using the basic trigonometric relations. Since the terminal point of t is in Quadrant IV, the values of the trigonometric functions can be found by taking the absolute value of the given angle.

\(sin t = | sint | = |sin (sect) = |sin 3| = -0.98\\cost = |cost| = |cos (section) = |cos 3| = -0.15\\tant = |tant| = |tan (sect) = |tan 3| = -6.40\\cot t = |cot t| = |cot (sect) = |cot 3| = -0.16\\sec t = |sec t| = |sec (section) = |sec 3| = -6.71\\csc t = |csc t| = |csc(section) = |csc 3| = -1.02\\\)

These are the values of the trigonometric functions of t given that its terminal point is in Quadrant IV.

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A probability model consists of the sample space and the way to assign probabilities. The sample space is the collection of all possible outcomes of a random experiment.  It can be finite, countably infinite, or uncountably infinite.

A probability model is a way of assigning probabilities to events in the sample space.The probability of an event is a measure of the likelihood that the event will occur. The probability of an event is always between 0 and 1, inclusive. A probability of 0 means that the event will never occur, while a probability of 1 means that the event is certain to occur. If an event has a probability of 0.5, then it is just as likely to occur as not to occur.The probability of an event can be calculated using different methods, depending on the type of experiment. For example, if the experiment is a coin toss, then the probability of getting heads is 0.5, and the probability of getting tails is also 0.5. If the experiment is rolling a six-sided die, then the probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on.In summary, a probability model consists of the sample space and the way to assign probabilities. It is a mathematical framework used to quantify uncertainty in various fields such as statistics, physics, economics, and engineering. The probability of an event is a measure of the likelihood that the event will occur and is always between 0 and 1, inclusive.

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The correct statement is: provided that the sample size is reasonably large (for any population).

The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.

These conditions include a random sample from the population and a sufficiently large sample size (typically, n > 30 is considered large enough).

Therefore, the Central Limit Theorem is important because it allows us to make inferences about the population mean using the normal distribution, even if we do not know the population distribution.

This is useful in many applications of statistics, including hypothesis testing, confidence intervals, and estimating population parameters

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