Find the value of 8 to the 3rd power divided by 8 squared multiplied by 4 squared.

When mapping the graphemes in the word "flight," students would need five boxes to represent the individual sounds or phonemes: /f/, /l/, /ai/ (represented by "igh"), /t/, and a shared box for the final sound /t/.

In the word "flight," students would need five boxes (phonemes) to map the graphemes.

Phoneme-grapheme mapping is a process used in phonics instruction, where students break down words into individual sounds (phonemes) and then identify the corresponding letters or letter combinations (graphemes) that represent those sounds. It helps students develop phonemic awareness and letter-sound correspondence.

Let's analyze the word "flight" in terms of its individual sounds or phonemes:

/f/ - This is the initial sound in the word and can be represented by the grapheme "f."

/l/ - This is the second sound in the word and can be represented by the grapheme "l."

/ai/ - This is a dipht sound made up of the vowel sounds /a/ and /i/. It can be represented by the grapheme "igh."

/t/ - This is the fourth sound in the word and can be represented by the grapheme "t."

The final sound in the word is /t/. However, in terms of mapping graphemes, the final sound does not require a separate box because the "t" grapheme used to represent it is already accounted for in the previous box.

Therefore, when mapping the graphemes in the word "flight," students would need five boxes to represent the individual sounds or phonemes: /f/, /l/, /ai/ (represented by "igh"), /t/, and a shared box for the final sound /t/.

By segmenting words into phonemes and mapping graphemes, students can strengthen their understanding of the sound-symbol correspondence in written language and develop decoding skills essential for reading and spelling.

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Answer:

4=40

Step-by-step explanation:

because you add up all those angles on staight line you get your 180 degrees.

Answer:

Step-by-step explanation:

Answer:

C) The corresponding sides are congruent.

Step-by-step explanation:

Option C is the correct answer.

Hope it helps you in your learning process.

The Laplace transform of the given function is,

L{f(t)} = (8/s) - 4e^{-3s/2}/s - 6e^{-2s}/s

Given function is f(t) = {8 12 1 Jo, 0 ≤ t < 3/2, 3/2 ≤ t < 2, 2 ≤ t < ∞ respectively.

We have to find Laplace transform of the given function.

For first interval 0 ≤ t < 3/2,

f(t) = 8u(t) - 8u(t-3/2)

For second interval 3/2 ≤ t < 2,

f(t) = 12u(t-3/2) - 12u(t-2)

For third interval 2 ≤ t < ∞,

f(t) = Jo(u(t-2))

Hence, we can write the Laplace transform of the given function as,

L{f(t)} = L{8u(t) - 8u(t-3/2)} + L{12u(t-3/2) - 12u(t-2)} + L{Jo(u(t-2))}

Where, L is Laplace transform.

Let's calculate each Laplace transform stepwise,

1. L{8u(t) - 8u(t-3/2)}L{8u(t)} = 8/L{u(t)}L{u(t)}

= 1/sL{u(t-3/2)}

= e^{-3s/2}/s

Therefore,

L{8u(t) - 8u(t-3/2)} = 8[1/s - e^{-3s/2}/s]

2. L{12u(t-3/2) - 12u(t-2)}L{12u(t-3/2)}

= 12e^{-3s/2}/sL{12u(t-2)}

= 12e^{-2s}/s

Therefore,

L{12u(t-3/2) - 12u(t-2)} = 12[e^{-3s/2}/s - e^{-2s}/s]

3. L{Jo(u(t-2))}L{Jo(u(t-2))} = ∫_{0}^{∞}δ(t-2)e^{-st}dtL{Jo(u(t-2))}

= e^{-2s}

Hence, the Laplace transform of the given function is,

L{f(t)} = 8[1/s - e^{-3s/2}/s] + 12[e^{-3s/2}/s - e^{-2s}/s] + e^{-2s}

= (8/s) - 4e^{-3s/2}/s - 6e^{-2s}/s

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Answer:

(n * (n - 1)) / 2

Step-by-step explanation:

If we have n collinear points, then we can draw n - 1 non-overlapping rays starting from any point on the line. This is because if we choose any two points on the line, then we can draw a unique ray passing through them, and since there are n choose 2 pairs of points on the line, we can draw n choose 2 = (n * (n - 1)) / 2 rays passing through them. However, each of these rays is counted twice (once for each of its endpoints), so we divide by 2 to get the final answer.

Therefore, the number of distinct rays that can be drawn from n collinear points is:

(n * (n - 1)) / 2

Note that this formula assumes that no three points are collinear, as otherwise, the number of rays would be infinite.

question is equaled to 180 degrees

The relationship between the ratios of sin x° and cos yº is that they are reciprocals. The correct answer is option c. The ratios of sin x° and cos yº are reciprocals of each other.

In trigonometry, sin x° represents the ratio of the length of the side opposite the angle x° to the length of the hypotenuse in a right triangle. Similarly, cos yº represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Since the hypotenuse is the same in both cases, the ratios sin x° and cos yº are related as reciprocals. This means that if sin x° is equal to 12/13, then cos yº will be equal to 13/12. The reciprocals of the ratios have an inverse relationship, where the numerator of one ratio becomes the denominator of the other and vice versa.

It's important to note that the signs of the ratios can vary depending on the quadrant in which the angles x° and yº are located. However, the reciprocal relationship remains the same regardless of the signs.

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The solution to the problem is as follows:Given that 80% of teenagers aged 12-17 own smartphones. A random sample of 250 teenagers is drawn.

The probability is calculated by using the Central Limit Theorem and the TI-84 calculator, and the answer is rounded to at least four decimal places.PC <0.11)-0 Х $P(X<0.11)To find the probability of less than 75% of the sampled teenagers owned smartphones, convert the percentage to a proportion.75/100 = 0.75

This means that p = 0.75. To find the sample proportion, use the given formula:p = x/nwhere x is the number of teenagers who own smartphones and n is the sample size.Substituting the values into the formula, we get;$$p = \frac{x}{n}$$$$0.8 = \frac{x}{250}$$$$x = 250 × 0.8$$$$x = 200$$Therefore, the sample proportion is 200/250 = 0.8.To find the probability of less than 75% of the sampled teenagers owned smartphones, we use the standard normal distribution formula, which is:Z = (X - μ)/σwhere X is the random variable, μ is the mean, and σ is the standard deviation.

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4.) The correct equation that represents Fred's score would be = 2+f = 16. That is option B.

5.) coefficient = 5

variable = x

constant= -8 and 12

Sally game scores= 2 + f

Fred game scores = f

The total scores of Sally = 16 points

Therefore to calculate the score of Fred = 2+f = 16

Make f the subject of formula = f = 16-2 = 14

For the given equation which is 5x - 8 = 12. The parts of the equation include the following;

Coefficient= This is the number that is used to multiple a variable. Example is the 5 attached to X.

Variable: This is part of an equation that is varying or changing which is represented by a letter such as X in the given equation.

Constant: This is a fixed quantity that doesn't vary.

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The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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The value of q is -27.

Recall Vieta's Formulas, which state that for a quadratic equation \(ax^2\) + bx + c = 0 with zeroes alpha and beta, the sum of the zeroes is equal to -b/a, and the product of the zeroes is equal to c/a.

In our equation \(x^2\) - 3x + q, the sum of the zeroes alpha and beta is -(-3)/1 = 3.

We are given that 2 alpha + 3 beta = 15. Substitute alpha = (15 - 3 beta)/2 into the equation.

Replace the value of alpha in the sum of zeroes equation: (15 - 3 beta)/2 + beta = 3.

Simplify the equation by multiplying both sides by 2: 15 - 3 beta + 2 beta = 6.

Combine like terms: 15 - beta = 6.

Subtract 15 from both sides: -beta = -9.

Multiply both sides by -1 to solve for beta: beta = 9.

Substitute the value of beta into the sum of zeroes equation: alpha = (15 - 3 * 9)/2 = -3.

Since we have the values of alpha and beta, we can find q using the product of the zeroes formula: q = alpha * beta = -3 * 9 = -27.

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Answer:

-4/5 (fraction)

Step-by-step explanation:

add the numbers:

25x^2-16=0

use quadratic formula

simplify -40/50

-4/5

Answer:

9

Step-by-step explanation:

3/4 of 12 means 3/4 times 12. Therefore,

\(\displaystyle{\dfrac{3}{4} \cdot 12 = 3\cdot \dfrac{12}{4}}\\\\\displaystyle{=3\cdot 3}\\\\\displaystyle{=9}\)

Answer:

c) 9

Step-by-step explanation:

Extract 3/4 of 12:

\(12*\frac{3}{4} =\frac{12*3}{4} =\frac{36}{4} =9\)

Hope this helps.

Area is calculated using length measurements, specifically measurements of two dimensions of a flat or planar shape, such as length and width. The resulting value represents the amount of space occupied by the shape on a flat surface.

Area is commonly measured in square units such as square metres (\(m^{2}\)), square feet (\(ft^{2}\)), square inches (\(in^{2}\)), and so on.

To calculate the area of a flat shape, multiply its length and width by the appropriate unit of measurement.

Area = Length x Width

Similarly, to find the area of a circular surface, we would use the formula for the area of a circle:

Area = π x (Radius)^2

\(Area = \pi . (r)^2\)

where π is the mathematical constant pi, and the radius is half the diameter:

So, area is a measure of the amount of space occupied by a flat or planar shape and is calculated using length measurements.

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The point on the curve y = 3x² - 2x where the slope of the tangent line is -267 is (-9,423).

To find the point on the curve where the slope of the tangent line is -267, we need to differentiate the equation y = 3x² - 2x with respect to x to find the derivative. Taking the derivative, we have dy/dx = 6x - 2.

Setting the derivative equal to -267, we can solve for x:

6x - 2 = -267

6x = -265

x = -265/6

x ≈ -44.17

Now that we have the x-coordinate, we can substitute it back into the original equation to find the corresponding y-coordinate:

y = 3(-44.17)² - 2(-44.17)

y ≈ 19527.19

Therefore, the point on the curve y = 3x² - 2x where the slope of the tangent line is -267 is approximately (-44.17, 19527.19).

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To show that w is in the subspace of R4 spanned by V1, V2, and V3, we need to find constants c1, c2, and c3 such that:

w = c1V1 + c2V2 + c3V3

We can write this as a matrix equation:

| 1 -4 -9 -4 | | c1 | | -2 |

| 6 3 5 1 | x | c2 | = | -1 |

| 2 4 11 -8 | | c3 | | -1 |

| -15 7 22 -14 | | -2 |

We can solve this system of equations using row reduction:

| 1 -4 -9 -4 | | c1 | | -2 |

| 6 3 5 1 | x | c2 | = | -1 |

| 2 4 11 -8 | | c3 | | -1 |

| -15 7 22 -14 | | -2 |

R2 = R2 - 6R1

R3 = R3 - 2R1

R4 = R4 + 15R1

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 12 29 -16 | | c3 | | 3 |

| 0 -23 67 -59 | | -32 |

R4 = R4 + 23R2

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 12 29 -16 | | c3 | | 3 |

| 0 0 174 -294 | | 225 |

R3 = R3 - (12/27)R2

R4 = (1/174)R4

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 0 -1 22/3 | | c3 | | -13/3 |

| 0 0 1 -98/87 | | 25/58 |

R1 = R1 + 4R3

R2 = R2 - 59R3

R4 = R4 + (98/87)R3

| 1 0 -13 -10/3 | | c1 | | 21/29 |

| 0 27 0 -2119/87 | x | c2 | = | 2238/87 |

| 0 0 1 -98/87 | | c3 | | 25/58 |

| 0 0 0 1390/2391 | | 1009/2391 |

R1 = R1 + (13/1390)R4

R2 = (1/27)R2

R3 = R3 + (98/1390)R4

| 1

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Step-by-step explanation:

Let x=amount of sugar needed

Then 10x=amount of flour needed

Now we can set up an inequality:

40<= 11x <=50 divide each term by 11

40/11<=x<=50/11 now multiply each term by 10x (amount of sugar needed)

400/11 <= 10x <=500/11 or

36.36 <=10x <= 45.45

The possible weights of flour the baker can use is greater than or equal to 36.36 lb and less than or equal to 45.45 lb

Answer:

40

Step-by-step explanation:

Answer:

1007721.54

Step-by-step explanation:

You first divide 10495 divide 530 which equals 19.8. Then you multply it by 48939 and get 969084.53. Then you add 38637 to 969084.53. Coulda just used a caculator.

Answer:

x = 11/10

Step-by-step explanation:

5(2x-1)=6

Distribute

10x -5 = 6

Add 5 to each side

10x-5+5 = 6+5

10x = 11

Divide by 10

10x/10= 11/10

x = 11/10

Answer:

x =1 1 /10

Step-by-step explanation:

2 x −1= 6/5

2 x = 11 /5

x = 11 /10

x = 1.1

x=1 1/10 or 1.1

Answer:

C = 17.27 units

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = πd ( d is the diameter ) , then

C = 3.14 × 5.5 = 17.27 units

Noise is defined as any undesired sound that is deemed unpleasant, loud, or disturbing to hear.  The value of ITOI is 20dB.

Noise is defined as any undesired sound that is deemed unpleasant, loud, or disturbing to hear. There is no difference between noise and desirable sound in terms of physics, as both are vibrations across a medium such as air or water. The distinction occurs when the brain hears and perceives a sound.

The following data is been known,

The SFDR mean the spurious-free dynamic range, it is the ratio of the fundamental signal to the strangest spurious signal in the output.

\(D_R_f(dB) = \dfrac23(P_3-N_o)\)

where P₃ is the third-order intercept

N₀ is the noise power

So, ITOI (Third-order Intercept Point which is equal to 20dB)

Hence, the value of ITOI is 20dB.

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The domain of the graph is x∈R or  \((-\infty,\infty)\) and range is  \((-\infty,\infty)\).

What is domain and range of the function?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Here the given line coordinates are,

\((x_1,y_1)=(4,3)\\(x_2,y_2)=(-5,-2)\)

Now using slope formula m= \(\frac{y_2-y_1}{x_2-x_1} = \frac{-2-3}{-5-4} = \frac{-5}{-9}=\frac{5}{9}\)

Equation of line is \(y-y_1=m(x-x_1)\)

=> y-3=\(\frac{5}{9}\)(x-4)

=>9y-27=5x-20

=> 9y=5x-20+27

=> 9y=5x+7

=> y =\(\frac{5x+7}{9}\)

Then function of the graph is y =\(\frac{5x+7}{9}\)

The domain of linear function is the set of all real numbers. Then,

Domain = x ∈ R = \((-\infty,\infty)\)

Range = \((-\infty,\infty)\).

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Answer: The  real answer is 62 steps per min

Hope this helps!

Robert averaged 62 steps in a minute.

An equation is a mathematical statement formed when two expressions are equated using an equal sign.

The equations are useful in the determination of unknown parameters.

The equations are of various types, such as Trigonometric equations, and quadratic equations.

The number of steps climbed by Robert is 775

The time taken by Robert to climb the steps is 12 1/2 minutes

The time taken by him = 25/2 minutes in fraction form

The time taken by him = 12.5 minutes in decimal form.

The steps he walks in 1 minute have to be determined.

Let x be the number of steps he walks in 1 minute, then the equation formed is,

x  = Total steps  /  Total Time

x = 775/12.5

x = 7750/125

x = 62 minutes.

So, the average number of steps Robert walked is 62 minutes.

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Answer:

A. x=5

B. y=8

C. 16.4

D. w=5

Step-by-step explanation:

I hope this helps

Answer:

A= 150 cm

B= 4 cm

Sorry if its wrong

Answer:

15

Step-by-step explanation:

5x3 = 15 It's Simple Hope it helps

Answer:

its 25.14

Step-by-step explanation:

Answer:

25.14

Step-by-step explanation:

done it

Answer:

g(4) = 8/3

Step-by-step explanation:

g(4) = 5/6(4)-2/3

= 20/6 - 2/3

= 10/3 - 2/3

= 8/3

Answer: 32.99 dollars

Step-by-step explanation:

454.22 minus the cost of the gaming system (355.25) equals 98.97, which when divided by three is the cost of each game

Answer:

$32.99 / game

Step-by-step explanation:

We can set up an equation for this problem.

Let g = the # of games Greg purchased

\(355.25+3g=454.22\\\)

Subtract 355.25 from both sides

\(3g=98.97\)

Divide both sides by 3 to isolate g

\(g=32.99\)

Therefore, Greg spends 32.99 on 1 game.

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