True or false Square roots!
please help me with this!!

Answer:

it is y=x +1

as i think

good luck

A countable set is the union of two countable sets. for each kN. Now that AB=cn:nN, it may be counted because it is an infinite set.

A bijection is a function between the elements of two sets in mathematics that is also referred to as a one-to-one correspondence, an invertible function, or a bijective function.

In this function, each element of one set is paired with exactly one element of the other set, and each element of the second set is paired with exactly one element of the first set.

No elements are left unpaired. A one-to-one (injective) and onto (surjective) mapping of a set X to a set Y is known as a bijective function, or f: X Y in mathematics.

One-to-one function (an injective function; a bijection from the set X to the set Y has an inverse function from Y to X) should not be confused with one-to-one correspondence. X and Y must be finite if.

Hence, A countable set is the union of two countable sets. for each kN. Now that AB=cn:nN, it may be counted because it is an infinite set.

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Answer:

the number of time spend in reading is 31.3 minutes

Step-by-step explanation:

The computation of the number of time spend in reading is as follows:

= 9.75 pages in science book × 1.2 minutes + 24.5 pages in english class × 0.8 minutes

= 11.7 minutes + 19.6 minutes

= 31.3 minutes

Hence, the number of time spend in reading is 31.3 minutes

The same is relevant and considered

Answer:

J

Step-by-step explanation:

$15/20= 0.75

The statement "Compared to poverty in the United States, poverty throughout the world as a whole is more widespread and more severe" is true because poverty is a global issue affecting millions of people worldwide.

While poverty in the United States is undoubtedly a significant problem, it is not as severe as in many other parts of the world. According to the World Bank, over 700 million people live in extreme poverty, surviving on less than $1.90 per day.

Poverty in many countries can lead to severe hunger, malnutrition, and inadequate access to healthcare, education, and other basic needs.

In contrast, poverty in the United States often includes access to public assistance programs and essential services, such as healthcare and education, although it still has significant impacts on individuals and communities.

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The value of the exponential function is g ( x ) = ( 1/4 )ˣ  and the graph is plotted

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the equation will be

Substituting the values in the equation , we get

g ( x ) = ( 1/4 )ˣ

when x = 0

g ( 0 ) = ( 1/4 )⁰

g ( 0 ) = 1

Now , when x = 1

Substitute the value of x = 1 in the equation , we get

g ( 1 ) = ( 1/4 )¹

g ( 1 ) = ( 1/4 )

Now , when x = 2

Substitute the value of x = 2 in the equation , we get

g ( 2 ) = ( 1/4 )²

g ( 2 ) = ( 1/16 )

Now , when x = 3

Substitute the value of x = 3 in the equation , we get

g ( 3 ) = ( 1/4 )³

g ( 3 ) = ( 1/64 )

Now , when x = 4

Substitute the value of x = 1 in the equation , we get

g ( 4 ) = ( 1/4 )⁴

g ( 4 ) = ( 1/256 )

Hence , the equation is g ( x ) = ( 1/4 )ˣ and the graph is plotted

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The probability of the disease is very low nationwide. We need to estimate the disease probability in one city. The probability of disease in this city is 0.0976% (0.000976 or 0.00001) or 99.9024%.

Solution:Let's assume that the probability of the disease in the city is p.

We know that the probability of having no disease is (1-p).

Out of the 1000 people randomly asked, all of them have no disease which means they all responded negatively.

The probability of one person not having a disease = 1-p

Probability of 1000 people not having a disease =

(1-p) × (1-p) × (1-p) × ... (1000 times)

= (1-p)^1000

Given that the probability of disease is very low nationwide.

The probability of having no disease is high (say 0.9).

So the probability of a disease in the city = 1 - probability of no disease in the city

= 1 - (1-p)^1000= 1 - (1-0.9)^1000

= 1 - 0.000976

= 0.999024

= 99.9024%

Therefore, the probability of disease in this city is 0.0976% (0.000976 or 0.00001) or 99.9024%.

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Answer:

Answer is A

Step-by-step explanation:

Hope it helps

One real-world example of a scenario that can be converted to a mathematical function is the relationship between the cost of a product and the number of units sold. This relationship can be modeled using the following function: y = mx + b

where:

y represents the total cost of selling x units

m represents the marginal cost of each unit sold (i.e., the cost of selling one additional unit)

x represents the number of units sold

b represents the fixed cost of selling the product (i.e., the cost of producing and marketing the product, regardless of the number of units sold)

For example, suppose a company sells a product that costs

10 to produce and 2 to sell each unit. If the company sells 10 units, the total cost of selling those units would be:

y = 10m + 2b

y = 10(10 + 2) + 2(10)

y = 120 + 20

y = 140

In this scenario, the marginal cost of each unit sold is 2

,the fixed cost of selling the product is 20, and the total cost of selling 10 units is 140.This relationship can be used to predict the total cost of selling different quantities of the product ,based on the companys costs and the number of units sold.

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Find the scale:

30 miles / 5miles = 6

Multiply km by the scale:

8 km x 6 = 48 km

The answer is 48 km

Answer: 48km

Step-by-step explanations:. It's just simple cross multiplication.

5miles----->8km

30miles---->?km

Answer is ( 30×8)÷5= 48km

Approximately 7.07 gallons of paint are needed for the room.

To determine the number of gallons of paint needed for the room, we need to convert the area of the walls to the same unit as the coverage provided by a gallon of paint.

Given that the walls have an area of 955 square feet, we first convert this area to square yards because the coverage provided by a gallon of paint is given in square yards. Since 1 yard is equal to 3 feet, we can divide the area in square feet by 9 to convert it to square yards.

955 square feet ÷ 9 = 106.11 square yards

Now that we have the area in square yards, we can calculate the number of gallons of paint needed by dividing the area by the coverage provided by a gallon of paint, which is 15 square yards.

106.11 square yards ÷ 15 square yards/gallon = 7.07 gallons (rounded to two decimal places)

Therefore, approximately 7.07 gallons of paint are needed for the room.

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There are only one way to pick exactly 6 of the 7 winning numbers without regard to order.

There are "1 to 70 numbers, choose 7 " or 70C7 ways to pick 7 correctly.

AND

you must also pick 1 wrong number.  That wrong number has to be

different from any of the 7 correct numbers, and so there are

40-6 or 34 wrong numbers you could have picked.  That's 34 wrong

numbers, choose 1 or 34C1. Since AND means to multiply, the

numerator is 6C5 X 34C1=204

The denominator is the same 3838380 as in part (A)

So the desired probability is 204 / 38380 = 17 / 319865.

However that's just the probability of winning the $10000.

The words "probability of winning" could be taken as the

probability of winning either $1,000,000 OR $10,000. So

P(winning $1,000,000 OR winning $10,000) and since

"OR" means "ADD", we add the probability found in part A,

so the correct answer is 1 / 38380 + 204 / 38380 = 205 / 3838380

=41 / 767676,

the probability of winning a million or ten thousand.

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The range of the function will be;

⇒ { - 6, 19, 29 }

The set of all inputs of the function is called Domain of set.

Given that;

The function is,

⇒ f (x) = 5x + 4

And, The domain = {-2, 3, 5}

Now,

Since, The function is,

⇒ f (x) = 5x + 4

We know that;

The range of the function gives the value of f (x).

So, We get;

The function is,

⇒ f (x) = 5x + 4

Put x = - 2;

⇒ f (-2) = 5 × - 2 + 4

           = -10 + 4

           = - 6

Put x = 3;

⇒ f (3) = 5 × 3 + 4

         = 15 + 4

         = 19

Put x = 5;

⇒ f (5) = 5 × 5 + 4

          = 25 + 4

         = 29

Thus, The value of range = { - 6, 19, 29 }

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The corresponding eigenvalues for the given matrix and vector pairs are:

1. Eigenvalue: λ = -2

2. Eigenvalue: λ = -2

3. Eigenvalue: λ = -3

4. Eigenvalue: λ = -10

5. Eigenvalue: λ = -5

1. Matrix: \(\left[\begin{array}{cc}-10&-8\\24&18\end{array}\right]\)

  Vector: \(\left[\begin{array}{cc}1\\-2\end{array}\right]\)

To check if [1; -2] is an eigenvector,

we need to solve the equation Av = λv:

                          \(\left[\begin{array}{cc}-10&-8\\24&18\end{array}\right]\)  \(\left[\begin{array}{cc}1\\-2\end{array}\right]\)

                            \(\left[\begin{array}{cc}-10&-8\\24&18\end{array}\right]\)  \(\left[\begin{array}{cc}1\\-2\end{array}\right]\)  = \(\left[\begin{array}{cc}\lambda\\-2\lambda\end{array}\right]\)

Solving this system of equations,  λ = -2.

2. Matrix: \(\left[\begin{array}{cc}12&-14\\1&-9\end{array}\right]\)

  Vector: \(\left[\begin{array}{cc}1\\1\end{array}\right]\)

To check if [1; 1] is an eigenvector, we need to solve the equation

Av = λv:

                         \(\left[\begin{array}{cc}12&-14\\1&-9\end{array}\right]\) \(\left[\begin{array}{cc}1\\1\end{array}\right]\) = \(\lambda \left[\begin{array}{cc}1\\1\end{array}\right]\)

This simplifies to:

                         \(\left[\begin{array}{cc}12&-14\\1&-9\end{array}\right]\) \(\left[\begin{array}{cc}1\\1\end{array}\right]\) = \(\left[\begin{array}{cc}\lambda\\\lambda\end{array}\right]\)  

Solving this system of equations, we find that λ = -2.

3. Matrix: \(\left[\begin{array}{cc}-5&-4\\8&7\end{array}\right]\)

  Vector: \(\left[\begin{array}{cc}1\\-2\end{array}\right]\)

  To check if [1; -2] is an eigenvector, we need to solve the equation Av = λv:

                                            \(\left[\begin{array}{cc}-5&-4\\8&7\end{array}\right]\) \(\left[\begin{array}{cc}1\\-2\end{array}\right]\) = λ \(\left[\begin{array}{cc}1\\-2\end{array}\right]\)

  This simplifies to:

                                                   \(\left[\begin{array}{cc}-5&-4\\8&7\end{array}\right]\) \(\left[\begin{array}{cc}1\\-2\end{array}\right]\) =  \(\left[\begin{array}{cc}\lambda\\-2\lambda\end{array}\right]\)

  Solving this system of equations, we find that λ = -3.

4. Matrix: \(\left[\begin{array}{cc}15&24\\-2&-5\end{array}\right]\)

  Vector: \(\left[\begin{array}{cc}1\\1\end{array}\right]\)  

  To check if [1; 1] is an eigenvector, we need to solve the equation Av = λv:

                                    \(\left[\begin{array}{cc}15&24\\-2&-5\end{array}\right]\) \(\left[\begin{array}{cc}1\\1\end{array}\right]\)  = λ \(\left[\begin{array}{cc}1\\1\end{array}\right]\)

  This simplifies to:

                                     \(\left[\begin{array}{cc}15&24\\-2&-5\end{array}\right]\) \(\left[\begin{array}{cc}1\\1\end{array}\right]\)  =  \(\left[\begin{array}{cc}\lambda\\\lambda\end{array}\right]\)

  Solving this system of equations, we find that λ = -10.

5. Matrix: \(\left[\begin{array}{cc}19&-7\\42&-16\end{array}\right]\)

  Vector: \(\left[\begin{array}{cc}3\\1\end{array}\right]\)

  To check if [3; 1] is an eigenvector, we need to solve the equation Av = λv:

                                        \(\left[\begin{array}{cc}19&-7\\42&-16\end{array}\right]\) \(\left[\begin{array}{cc}3\\1\end{array}\right]\) = λ \(\left[\begin{array}{cc}3\\1\end{array}\right]\)

This simplifies to:

                                       \(\left[\begin{array}{cc}19&-7\\42&-16\end{array}\right]\) \(\left[\begin{array}{cc}3\\1\end{array}\right]\) = λ \(\left[\begin{array}{cc}3\lambda\\\lambda\end{array}\right]\)

Solving this system of equations, we find that λ = -5.

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Answer:

B -- Recipe 2 (Gluten-Free)

Step-by-step explanation:

Recipe 1

5 / 16 = 0.3125

Recipe 2

3 / 8 = 0.375

Recipe 2 (Gluten-Free) has a higher ratio so it must have a stronger taste.

Answer:

Your answer would be:
B.) The gluten-free batch has the stronger butterscotch

Regular batch:
5 / 21

5 / 21 = 25 / 110




Gluten-free batch:
3 / 11

3 / 11 = 30 / 110


Solution:
30 / 110 > 25 / 110

In conclusion, the gluten-free batch has the stronger butterscotch.

Step-by-step explanation:

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Greek number prefixes are employed in the naming of molecular (covalent) substances.

Greek number prefixes are employed in the naming of molecular (covalent) substances. Prefixes are always combined in order of size (left-to-right in the table below). For instance, "heptadecatetracta" (7 + 10 + 400) would be the prefix for the number 417.

We utilise prefixes (mono-, di-, tri-, etc.) at the beginning of each element in molecular compounds to denote the element's subscript, but we only use the prefix mono- for the compound's second element.

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Probability helps us to know the chances of an event occurring. The probability of two cards being black without replacement is 24.5%.

Probability helps us to know the chances of an event occurring.

\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

Given the standard deck has 26 black cards while the total number of cards is 52. Therefore, the probability of two cards being black without replacement is,

Probability = (Probability of the first card is black) × (Probability of the second card being black)

Probability = (26/52) × (25/51)

Probability = 0.245 = 24.5%

Hence, the probability of two cards being black without replacement is 24.5%.

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The project has a net present value of $100,000, an internal rate of return of 15%, and a profitability index of 1.1. Therefore, the project should be accepted.

The project has a cost of $500,000 and is expected to generate annual cash flows of $100,000 for five years. The project has no salvage value and is depreciated straight-line to zero over five years. The firm's required rate of return is 10%.

The net present value (NPV) of the project is calculated as follows:

NPV = -500,000 + 100,000/(1 + 0.1)^1 + 100,000/(1 + 0.1)^2 + ... + 100,000/(1 + 0.1)^5

= 100,000

The internal rate of return (IRR) of the project is calculated as follows:

IRR = n[CF1/(1 + r)^1 + CF2/(1 + r)^2 + ... + CFn/(1 + r)^n] / [-Initial Investment]

= 15%

The profitability index (PI) of the project is calculated as follows:

PI = NPV / Initial Investment

= 1.1

The NPV, IRR, and PI of the project are all positive, which indicates that the project is financially feasible. Therefore, the project should be accepted.

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Answer:

\(\dfrac{-15}{8}\)

Step-by-step explanation:

\(\sf \dfrac{3}{4} \ \div \dfrac{-2}{5}\)

 Use KCF method.

       \(\sf \dfrac{3}{4} \ \div \dfrac{-2}{5}=\dfrac{3}{4}*\dfrac{-5}{2}\)

                      \(\sf = \dfrac{3*(-5)}{4*2}\\\\ =\dfrac{-15}{8}\)

Answer:

31 and 37

Step-by-step explanation:

Those are the only two numbers

Answer:

The two numbers between 30 and 40 which have only 2 factors are -

31 and 37

Hope it helps you.

For each increase of one unit on the x-axis (the horizontal axis), the amount on the y-axis (the vertical axis) increases by the slope of the line.

Slope is the amount of change in the y-axis that occurs as a result of a one-unit change in the x-axis. It is also known as the rise over run.

A positive slope indicates that the line rises from left to right, while a negative slope indicates that the line falls from left to right. If the slope is zero, the line is horizontal.

The slope of a horizontal line is zero, and the slope of a vertical line is undefined because the x or y coordinate does not change as the other changes.

Therefore, the slope of a line represents the amount by which the value on the y-axis increases for every increase of one unit on the x-axis

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Answer: yes it is t={1}

PREMISES

16–2t=5t+9

CALCULATIONS

16–2t=5t+9

(16–9)-(2t-2t)=5t+2t+(9–9)

7–0=7t+0

7t=7

7t/7=7/7

t=1/1

t=

1

PROOF

If t=1, then the equations

16–2t=5t+9

16–2(1)=5(1)+9

16–2=5+9 and

14=14 prove the root (zero) t=1 of the statement 16–2t=5t+9

Step-by-step explanation:

Answer:

Width is 10

Length is 18

Step-by-step explanation:

Perimeter is calculated as 2(w+l) or w+w+l+l. When you put those two numbers into the equation 2(10+18) or 10+10+18+18, you get the exact same answer of 56, and since 10 is eight less than 18, it would be the width.

Answer:

Step-by-step explanation:

perimeter P = 2L + 2W

where

Perimeter P = 56 m

Width W = L - 8 m

find:

length L

width W

solution:

just plugin the values into the formula:

P = 2L + 2W

56 = 2L + 2(L - 8)

56 = 2L + 2L - 16

56 + 16 = 4L

L = 72/4

L = 18 m

solve for W:

substitute L=18 back into the equation W=L-8

W = 18 - 8

W = 10 m

therefore:

length L = 18 m

Width W = 10 m

proof:

56 = 2(18) + 2(10)

56 = 36 + 20

56 = 56 ----- OK

Answer:

25

Step-by-step explanation

5 times 5 is 25

(To make problems like this easier just multiply the denominator by the result, take this problem for example, the denominator is 5 and the result is 5 so just multiply those and you get 25)

True. the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model.

The slope and intercept of a line reveal the steepness of the line and the location in which it intersects an axis. The slope and intercept of the logistic relationship of the two variables can be utilized to get the average change rate. The ratio of a change in the variable y to the rise in the x component is known as the the line's slope.

Y = a + bX, where X seems to be the mediating variable and Y is the response variable, is the equation of a linear regression line. A is the intersection (the result of y for x = 0), and b is the line's slope.

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The equivalent regular expression for the given DFA using Arden's theorem is (a+b)(a+bb+ba(a+b))*.

1. Start with the given DFA and its transition table:

  State | Input a | Input b

  ------|---------|---------

  1     | 3       | 2

  2     | 1       | 2

  3     | 2       | -

2. Apply Arden's theorem, which states that for a DFA with a single final state, the regular expression for that state can be obtained by substituting the regular expressions for the other states into the equation: R = S + RP, where R is the regular expression for the final state, S is the regular expression for the current state, and P is the regular expression for the next state.

3. Begin with state 1:

  - Substitute the regular expression for state 3 into the equation:

    1 = 3a + ε

  - Since state 3 has no outgoing transition for input b, it is represented as ε (empty string).

4. Move to state 2:

  - Substitute the regular expression for state 1 into the equation:

    2 = 1(a + b) + 2a + 3b

  - State 1 is represented as (a + b) from the previous step.

  - Note that 1 is substituted because it is the regular expression for the state itself.

5. Move to state 3:

  - Substitute the regular expression for state 2 into the equation:

    3 = 2b

  - State 2 is represented as b from the previous step.

6. Substitute the obtained regular expressions back into the previous equations until no new substitutions are made:

  - In this case, there are no new substitutions to be made.

7. The resulting regular expression for state 1 is (a + b)(a + bb + ba(a + b))*.

Therefore, the equivalent regular expression for the given DFA using Arden's theorem is (a + b)(a + bb + ba(a + b))*.

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Answer:

click on A or fill it in

Step-by-step explanation:

Answer:

Resto= $240.000

Step-by-step explanation:

Dada la siguiente información:

Cantidad total de dinero= $640.000

Costo de estudio= 3/8= 0,375

Costo de auto= 1/4= 0,25

Primero debemos calcular la cantidad total gastada, y después la diferencia:

Costo de estudio= 0,375*640.000= 240.000

Costo de auto= 0,25*640.000= 160.000

Gasto total= $400.000

Resto= 640.000 - 400.000

Resto= $240.000

There are 37 numbers from 1 to 37, inclusive.

The probability of choosing a number that is a multiple of 3 is approximately 0.324 or 32.4%.

How to find and what is probability?

To count the number of multiples of 3, we can first find the smallest multiple of 3 that is greater than or equal to 1, which is 3.

Then we can find the largest multiple of 3 that is less than or equal to 37, which is 36. We can then count the multiples of 3 by counting in increments of 3 from 3 to 36: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36. There are 12 such numbers.

Therefore, the probability of choosing a number that is a multiple of 3 is:

P(multiple of 3) = number of multiples of 3 / total number of numbers

P(multiple of 3) = 12/37

So the probability of choosing a number that is a multiple of 3 is approximately 0.324 or 32.4%.

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

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The integral of f(x, y, z) = (x + y + z)/(x^2 y^2 z^2) over the path r(t) = 3ti + 3tj + tk, 0 ≤ t ≤ 1 is: -14/(729√19).

To evaluate the line integral of f(x, y, z) over the given path r(t), we need to substitute the parameterization of the path into the function f(x, y, z) and then compute the integral.

Step 1: Substitute the parameterization of the path into the function f(x, y, z):

f(r(t)) = [(3t) + (3t) + (t)] / [(3t)^2 (3t)^2 (t)^2]

= (7t)/(729t^6)

= 7/(729t^5)

Step 2: Compute the differential of the path:

dr(t) = (3i + 3j + k) dt

Step 3: Compute the magnitude of the differential:

|dr(t)| = sqrt((3)^2 + (3)^2 + (1)^2) dt

= sqrt(19) dt

Step 4: Set up the line integral:

∫[0,1] (f(r(t)) |dr(t)|)

= ∫[0,1] [(7/(729t^5)) * sqrt(19)] dt

Step 5: Evaluate the integral:

= (7/729) * sqrt(19) ∫[0,1] t^(-5/2) dt

To compute the integral ∫[0,1] t^(-5/2) dt, we can use the power rule of integration:

= (7/729) * sqrt(19) * [(t^(-3/2))/(-3/2)] | [0,1]

= -14/(729√19) * [1/(2√t^3/2)] | [0,1]

= -14/(729√19) * (1/(2√1^3/2) - 1/(2√0^3/2))

= -14/(729√19) * (1 - 0)

= -14/(729√19)

Therefore, the integral of f(x, y, z) over the given path r(t) is -14/(729√19).

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