How many equivalent fractions can I make in order to be the same answer to 2/3

Answer:

Since it is 0 years after 1985, the y intercept means that the population was 122,000 in 1985.

Step-by-step explanation:

The lower bound for the function f(n) = 4n^3 + 2n^2 + n is Ω(n^3).


To find the lower bound, we need to determine the term with the highest growth rate in the function f(n). In this case, the highest growth rate is determined by the cubic term 4n^3. The other terms, 2n^2 and n, have a lower growth rate, and therefore, their impact on the overall growth of the function becomes less significant as n increases.

As a result, we can say that the lower bound for the function f(n) is dominated by the cubic term 4n^3, which means that the function f(n) grows at least as fast as Ω(n^3).


The lower bound for the function f(n) = 4n^3 + 2n^2 + n is Ω(n^3). This means that the function grows at least as fast as a cubic function, and the other terms have a lesser impact on the overall growth rate as n increases.

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Given that <A and <B are complementary angles, the measure of angle B is: \(41^{\circ}\)

Apply the knowledge of what complimentary angles are to solve for x then find the measure of <B.

Since <A and <B are both complimentary angles, therefore:

m<A = (6x+1)

m<B = (8x-23)

\((6x+1) + (8x-23) = 90\)

\(6x+1 + 8x-23 = 90\)

\(6x+1 + 8x-23 = 90\\\\14x - 22 = 90\)

\(14x = 90 + 22\\\\14x = 112\)

\(x = 8\)

\(m \angle B = 8x-23\\\\m \angle B = 8(8) - 23\\\\m \angle B = 41^{\circ}\)

Therefore, given that <A and <B are complementary angles, the measure of angle B is: \(41^{\circ}\)

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\(a = 28.\)

Step-by-step explanation:

\( {a}n = a + (n - 1)d\)

\(4 = a + (7 - 1)( - 4)\)

\(4 = a + 6( - 4)\)

\(4 = a + ( - 24)\)

\(4 = a - 24\)

\(4 + 24 = a\)

\(28 = a\)

(OR)

\(a = 28.\)

Answer:

C

Step-by-step explanation:

V = lwh

v = 60 x 15 x 34

v = 30,600

Helping in the name of Jesus.

(7+2)/ 3 x 4

9/3 x 4

3 x 4

= 12

Answer:

\(b = 4\)

Step-by-step explanation:

subtract by 5 on both sides. ur left with

\( {b}^{2} = 16\)

square root b and 16. the square root cancels out b squared. find the square root of 16. the square root of 16 is 4

Balloon's altitude = 43.7ft as

change in altitude/500 = tan 5°  

change in altitude = .0875*500

                              =43.7ft

let's firstly get the EQUATion, of the graph before we get the inequality.

so we have a quadratic with two zeros, at -6 and 8, hmmm and we also know that it passes through (-2 , 10)

\(\begin{cases} x = -6 &\implies x +6=0\\ x = 8 &\implies x -8=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x +6 )( x -8 ) = \stackrel{0}{y}}\hspace{5em}\textit{we also know that } \begin{cases} x=-2\\ y=10 \end{cases}\)

\(a ( -2 +6 )( -2 -8 ) = 10\implies a(4)(-10)=10\implies -40a=10 \\\\\\ a=\cfrac{10}{-40}\implies a=-\cfrac{1}{4} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{1}{4}(x+6)(x-8)=y\implies -\cfrac{1}{4}(x^2-2x-48)=y \\\\\\ ~\hfill {\Large \begin{array}{llll} -\cfrac{x^2}{4}+\cfrac{x}{2}+12=y \end{array}}~\hfill\)

now, hmmm let's notice something, the line of the graph is a solid line, that means the borderline is included in the inequality, so we'll have either ⩾ or ⩽.

so hmmm we could do a true/false region check by choosing a point and shade accordingly, or we can just settle with that, since the bottom is shaded, we're looking at "less than or equal" type, or namely ⩽, so that's our inequality

\({\Large \begin{array}{llll} -\cfrac{x^2}{4}+\cfrac{x}{2}+12\geqslant y \end{array}}\)

The length of h in the given parallelogram is 0.24

To help us solve this problem, please refer to the attached picture below for each corner annotation of the parallelogram.

First, we will try to focus on triangle AOD to find the length of OD.

We know that ABCD is a parallelogram and AD is parallel to BC; then AD = BC

AD = 5

To find the length of OD we will use the phytagoras theorem:

AD² = AO² + OD²

0.5² = 0.3² + OD²

0.25 = 0.9 + OD²

OD² = 0.16

OD = 0.4

Then, we will use the congruent triangle concept between triangle AOD and triangle CPD to find the length of h or PD.

Based on the congruent triangle concept; we know that AD and DC should be congruent; then:

AD / DC = AO / DP

0.5 / 0.4 = 0.3 / h

h = 0.24

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The asymptotic notation relationship between the functions \(f(n) = n^3 (8 + 2 cos 2n)\) and \(g(n) = n^2 + 2n^3 + 3n\) is f(n) ∈ Θ(g(n)). Therefore, the growth rates of f(n) and g(n) are primarily determined by the cubic terms, and they grow at the same rate within a constant factor.

To determine the asymptotic notation relationship between the functions \(f(n) = n^3 (8 + 2 cos 2n)\) and \(g(n) = n^2 + 2n^3 + 3n\), we need to compare their growth rates as n approaches infinity.

Θ (Theta) Notation: f(n) ∈ Θ(g(n)) means that f(n) grows at the same rate as g(n) within a constant factor. In other words, there exists positive constants c1 and c2 such that c1 * g(n) ≤ f(n) ≤ c2 * g(n) for sufficiently large n.

o (Little-o) Notation: f(n) ∈ o(g(n)) means that f(n) grows strictly slower than g(n). In other words, for any positive constant c, there exists a positive constant n0 such that f(n) < c * g(n) for all n > n0.

ω (Omega) Notation: f(n) ∈ ω(g(n)) means that f(n) grows strictly faster than g(n). In other words, for any positive constant c, there exists a positive constant n0 such that f(n) > c * g(n) for all n > n0.

Now let's analyze the given functions:

\(f(n) = n^3 (8 + 2 cos 2n)\\g(n) = n^2 + 2n^3 + 3n\)

Since both functions have the same dominant term, we can say that f(n) ∈ Θ(g(n)) because they grow at the same rate within a constant factor. The other notations, o and ω, are not applicable here because neither function grows strictly faster nor slower than the other.

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The equation of the line that passes through the point (-4,-4) is y=-x-8.

The general equation for every straight line is y = mx + c, where m is the gradient (or degree of steepness) of the line and c is the y-intercept (the point in which the line crosses the y -axis).

The three equation of line are slope-intercept form, standard form and point-intercept form.

4x+4y=-28

Taking 4 common and dividing both sides by 4 gives

x+y= -7

y=-x-7

This means slope that is m=-1.

Now to find c in y=mx+c we need to use points (-4,-4).

-4=(-1)(-4)+c

c=-8

So the equation of line is y=-x-8.

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Answer:

So the final answers would be (90 > z)-P(80<z) = .47725 or 47.725%

Step-by-step explanation:

The length of the pendulum is approximately 24.99 cm.

The formula for the period of a pendulum is:

T = 2π√(L/g)

where T is the period in seconds, L is the length of the pendulum in meters, and g is the acceleration due to gravity (approximately 9.81 \(m/s^2\)).

To find the length L of the pendulum in centimeters, we can rearrange the formula as follows:

L = (T/2π\()^2\) * g

Substituting T = 0.537 s and g = 9.81 m/s^2 (which is equivalent to 981 cm/s^2), we get:

L = (0.537/(2π)\()^2\) * 981

L ≈ 24.99 cm

Therefore, the length of the pendulum is approximately 24.99 cm.

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The probability of getting a number greater than 3 is:

P(greater than 3) = favorable outcomes / total outcomes

= 3 / 6

= 1 / 2

So, the correct answer is d. one-half.

A single, standard number cube has six sides, numbered from 1 to 6. To find the probability of getting a number greater than 3, we need to determine the favorable outcomes (numbers greater than 3) and divide it by the total number of possible outcomes (all numbers on the cube).

Favorable outcomes: {4, 5, 6} (three numbers greater than 3)

Total possible outcomes: {1, 2, 3, 4, 5, 6} (six numbers in total)

Therefore, the probability of getting a number greater than 3 is:

P(greater than 3) = favorable outcomes / total outcomes

= 3 / 6

= 1 / 2

So, the correct answer is d. one-half.

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The area of the rhombus is 17.5 square inches.

The formula to find the area of a rhombus is:

Area = (diagonal1 x diagonal2) / 2

where diagonal1 and diagonal2 are the lengths of the diagonals.

diagonal1 = 7 inches and diagonal2 = 5 inches.

we can plug these values into the formula:

Area = (7 x 5) / 2

Area = 35 / 2

Area = 17.5 square inches

Therefore, the area of the rhombus is 17.5 square inches.

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Smplifying the expression gives a value equal to 16

BODMAS is a mathematical acronym that stands for;

Given the expression;

10 + 3(12 ÷ (3(2))

Expand the bracket

10 + 3( 12÷ 6)

10 + 3( 12/6)

Divide the numbers in the bracket

10 + 3(2)

10 + 6

Add the values

= 16

Thus, simplifying the expression gives a value equal to 16

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Answer:

x= 8/5 . or 1.6 in decimal form or 1 and 3/5 in a mixed number .

Step-by-step explanation:

Answer:

option B

Step-by-step explanation:

let the height=x

base=x

Area=½bh

72=½x•x

72×2=x²

144=x²

x=√144=12

Answer:

12

Step-by-step explanation:

12 x 12= 144

144/2= 72

Line graph - Decrease in attendance

Bar graph - Students in sports

Stem and Leaf plot - Heights of 80 adults

Number of dogs - Line plot

Answer:

a Car rents a compact car for $24.95 per day plus $0.23 per mile. Cargo Rent a Car rents a compact car for $ 22.95 per day plus $0.31

Step-by-step explanation:

because its plus

25 miles

Step-by-step explanation:

The measure of the secant secant angle m∠TUV is equal to 46°.

The secant secant angle, also known as the secant angle, is a term used in trigonometry to describe the angle between two secant lines that intersect outside of a circle.

m∠TUV = 1/2(arc SW - arc TV)

m∠TUV = 1/2 (145° - 53°)

m∠TUV = 1/2 (92°)

dividing 92° by 2 will give;

m∠TUV = 46°

Therefore, the measure of the secant secant angle m∠TUV is equal to 46°

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Answer:

-2 < a

Step-by-step explanation:

A function that converts an input of letters and numbers into an encrypted output of a fixed length is called hash. The links in the blockchain that is created using an algorithm.

A hash is a mathematical function that changes an input of any length into an encrypted output of a specific length. Therefore regardless of the quantity of raw data involved or the size of the file, its unique hash is always the same size. Also, a hash cannot be used to "reverse engineer" an input from a hash output, because hash functions are "one-way" (like a meat grinder; you don't can't put ground beef back into a steak). However, if you use such a function on the same data, its hash will be the same, so you can confirm that the data is the same (i.e., unchanged) if you already know its hash.

Hashes are used in various parts of the blockchain system. Each block header contains the hash of the previous block, ensuring nothing has been tampered with as new blocks are added. Cryptocurrency blockchains use hashes to secure information and make the ledger immutable.

It refers to the technique of making an input element of arbitrary length reflect an output element of definite length. For blockchain applications in cryptocurrencies, variable duration transactions are processed by specific hashing algorithms and all produce fixed length outputs. This is true regardless of the duration of the input transaction.

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Complete Question:

Fill in the blanks,

A function that converts an input of letters and numbers into an encrypted output of a fixed length is called ________. The links in the blockchain that is created using an algorithm.

Let \(a\) be the first term in the series and \(r\) the common ratio. Then the infinite series converges to

\(a + ar + ar^2 + ar^3 + ar^4 + ar^5 + \cdots = \dfrac a{1-r}\)

Removing the first three terms from the left side effectively multiplies the right side by 27, so

\(ar^3 + ar^4 + ar^5 + \cdots = \dfrac{27a}{1-r}\)

By elimination,

\(a + ar + ar^2 = -\dfrac{26a}{1-r}\)

Solve for \(r\). We can eliminate \(a\) so that

\(1 + r + r^2 = -\dfrac{26}{1-r} \\\\ \implies 1-r^3 = -26 \\\\ \implies r^3 - 27 = 0 \\\\ \implies r^3 = 27 \implies \boxed{r=3}\)

Answer:

Division to get 28

Step-by-step explanation:

Answer:

PF

Step-by-step explanation:

Since the triangles are congruent, meaning they are the same shape, we can just match the lines between the two triangles. In triangle ABC, the line AC is the hypotenuse of the triangle. So, we need to find the hypotenuse of the triangle PDF. Looking, we can see the hypotenuse of the triangle PDF is the line, or side, PF.

Hope this helped!

This Turing Machine will accept the language {an bn}, where n is a non-negative integer.

(i) To build a Turing Machine that accepts the language {an bn+1}, we can follow these steps:

1. Start in the initial state, q0.

2. Read the input symbol on the tape.

3. If the symbol is 'a', replace it with 'X' and move to the right.

4. If the symbol is 'b', replace it with 'Y' and move to the right.

5. If the symbol is 'Y', move to the right until you find a blank symbol.

6. If you find a blank symbol, replace it with 'Y' and move to the left until you find 'X'.

7. If you find 'X', replace it with 'Y' and move to the right.

8. If you find 'Y', move to the right until you find a blank symbol.

9. If you find a blank symbol, replace it with 'X' and move to the left until you find 'Y'.

10. If you find 'Y', replace it with a blank symbol and move to the left.

11. Repeat steps 2-10 until all symbols on the tape have been processed.

12. If you reach the end of the tape and the head is on a blank symbol, accept the input.

13. If you reach the end of the tape and the head is not on a blank symbol, reject the input.

This Turing Machine will accept the language {an bn+1}, where n is a non-negative integer.

(ii) To build a Turing Machine that accepts the language {an bn}, we can follow these steps:

1. Start in the initial state, q0.

2. Read the input symbol on the tape.

3. If the symbol is 'a', replace it with 'X' and move to the right.

4. If the symbol is 'b', replace it with 'Y' and move to the right.

5. If the symbol is 'Y', move to the right until you find a blank symbol.

6. If you find a blank symbol, replace it with 'Y' and move to the left until you find 'X'.

7. If you find 'X', replace it with a blank symbol and move to the left.

8. If you find 'Y', move to the left until you find a blank symbol.

9. If you find a blank symbol, replace it with 'X' and move to the right until you find 'Y'.

10. If you find 'Y', replace it with 'X' and move to the left.

11. Repeat steps 2-10 until all symbols on the tape have been processed.

12. If you reach the end of the tape and the head is on a blank symbol, accept the input.

13. If you reach the end of the tape and the head is not on a blank symbol, reject the input.

This Turing Machine will accept the language {an bn}, where n is a non-negative integer.

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(i) To build a TM that accepts the language {anbn+1}, follow the steps below:

Step 1: Input string is obtained on the input tape

Step 2: If the string has an odd length or its second character is a, then it is rejected.

Step 3: The string is divided into two equal halves and compared to each other. If they match, then it is accepted; otherwise, it is rejected.

(ii) To build a TM that accepts the language {anbn}, follow the steps below:

Step 1: Input string is obtained on the input tape.

Step 2: The string is scanned from the left side. For each a seen, it is replaced by A. If a b is seen, then A is replaced by B. If a b or b a is seen, it is rejected. If the string is all a's or all b's, then it is accepted.

Step 3: Repeat step 2 until the whole input string has been processed. If the string is all A's or all B's after processing, then it is accepted; otherwise, it is rejected.

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