Which equation is the slope-intercept form of the line that passes through (1, 2) and is parallel to the graph of y= 8/3x

A. y=8/3-2

B. y=8/3x- 2/3

C. y=8/3x- 3/2

D. y=8/3x + 2

Answer:

112 students

Step-by-step explanation:

From this problem, we can gather that 80% of the students are not performing.

140*0.8=112

To determine the change in angular momentum (ΔL) of a cylinder from t = 0 to t = t0, a student can use the equation:

ΔL = I * Δω

where ΔL is the change in angular momentum, I is the moment of inertia of the cylinder, and Δω is the change in angular velocity.

To calculate Δω, the student needs to know the initial and final angular velocities, ω0 and ωt0, respectively. The change in angular velocity can be calculated as:

Δω = ωt0 - ω0

Once Δω is determined, the student can use the moment of inertia (I) of the cylinder to calculate ΔL using the equation mentioned earlier.

The moment of inertia (I) depends on the mass distribution and shape of the cylinder. For a solid cylinder rotating about its central axis, the moment of inertia is given by:

I = (1/2) * m * r^2

where m is the mass of the cylinder and r is the radius of the cylinder.

By substituting the known values for Δω and I into the equation ΔL = I * Δω, the student can calculate the change in angular momentum (ΔL) of the cylinder from t = 0 to t = t0.

It's important to note that this method assumes that no external torques act on the cylinder during the time interval. If there are external torques involved, the equation for ΔL would need to include those torques as well.

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Answer:

19/3 (6 1/3)

Step-by-step explanation:

the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:

C = {0, 6, 12, 18}

A = {2, 4, 6, 8, 10, 12}

We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.

Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.

Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

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A and B are typically subitized, which means that they can be immediately recognized without counting. C and D are more likely to be counted.

Counting is the process of determining the number of items in a set by successively adding one. Subitizing, on the other hand, is the ability to immediately recognize the number of items in a small set without counting. The capacity for subitizing is limited to small sets typically ranging from 1 to 5 items, depending on the individual's age and mathematical ability. The answer to this question would be option C, 3. For most individuals, recognizing the number of items in a set of 3 would require counting rather than subitizing, as 3 is at the upper limit of the typical range for subitizing.

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Answer:

0.15

Step-by-step explanation:

The probability that the chip drawn from urn II is red is 4/15. Let's call the event that the chip drawn from urn I and transferred to urn II is red "R1", and the event that the chip drawn from urn II is red "R2".

The probability of event R1 is 2/6 = 1/3.

Given that event R1 has occurred, the number of red chips in urn II becomes 4, and the number of total chips becomes 4+1=5. The probability of event R2 is 4/5 = 4/5.

The probability of both events occurring is (1/3) * (4/5) = 4/15.

So, the probability that the chip drawn from urn II is red is 4/15.

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Answer:

17/20 and 20-x/20

Step-by-step explanation:

divide the total number of questions she got right by the total number of questions available

Answer:

2x-y=8

(3x-y=17)*_1

2x-y=8

-3x+y=-17

#-x=-9, x=9 & y=-10

Answer:

x = 9  and y  = 10

Step-by-step explanation:

Subtract the second equation from 1 as in doing so the y will get cancelled as they are of the opposite sign.

2x - y = 8

-3x + y = -17

-----------------

- x = - 9

Therefore,

x = 9

Now we will add the value of x to any of the equation from the question.

2x - y = 8

2(9) - y = 8

18 - y = 8

Therefore,

y = 10

Exponential form is a way of representing repeated multiplications of the same number by writing the number as a base with the number of repeats written as a small number to its upper right.

In the exponential form, the exponent indicates the number of times the base is used as a factor.

For example, in the case of 16 it can be written as 2 × 2 × 2 × 2  = \(2^{4}\), where 2 is the “base” and 4 is the “exponent.

A product in which the factors are identical is called a power of that factor.  The number that is repeated is called the base, and the number of times it repeats is called the exponent, power or degree. And the power that is written on the right upper side are called exponents. when multiplying the numbers having same base and different exponents then the base is kept same and the exponents are added.

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The slope of the line that passes through G(-6, -13) and H(-6.4, -3.8) is -23

From the question, the points are given as

G(-6, -13) and H(-6.4, -3.8)

Rewrite the above points properly

So, we have the following ordered pairs

(x, y) = (-6, -13) and (-6.4, -3.8)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (-6, -13) and (-6.4, -3.8)

Substitute the known values in the above equation

So, we have the following equation

Slope = (-3.8 + 13)/(-6.4 + 6)

Evaluate

Slope = -23

Hence, the slope of the line is -23

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Answer:

63.16%

Step-by-step explanation:

\(\frac{12}{19}\)  x 100% = 63.16%

So, 12 is 63.16% of the 19

Answer:

The number of minutes Nikki needs to listen to the radio to hear 20 commercials is 63.275 minutes

Step-by-step explanation:

The given dependent and independent variables are;

The number of minutes spent by Nikki listening = x

The number of commercials aired = y

The relationship between the independent variable, x ans the dependent variable, y, was given by the Nikki's graphing tool line of best fit as follows;

y = 0.338·x - 1.387

Therefore, the number of minutes, x, Nikki needs to listen to the radio to hear 20 commercials, y is given as follows;

20 = 0.338·x - 1.387

20 + 1.387 = 0.338·x

0.338·x  =20 + 1.387 = 21.387

x =  21.387/0.338 = 63.275 minutes

The number of minutes, x, Nikki needs to listen to the radio to hear 20 commercials, y = 63.275 minutes.

Answer:

C. 63 minutes

Step-by-step explanation:

Answer:

D    2200 feet

Step-by-step explanation:

Let d = the horizontal distance

tan 45 = 2200/d

dtan 45 = 2200

d = 2200/tan 45

d = 2200 ft.

Another solution is to recognize that the triangle is a 45-45-90 triangle and that the legs are congruent in the triangle.  So, the horizontal leg is the same as the vertical leg = 2200

This function satisfies the given derivative condition \(F'(x) = 8x^2 + 7x - 3\)and the initial condition F(0) = 4.

To find the function F(x) such that its derivative F'(x) is given by 8x² + 7x - 3 and F(0) = 4, we can integrate the derivative with respect to x.

By integrating term by term, we get:

\(F(x) = (8/3)x^3 + (7/2)x^2 - 3x + C\)

Here, C represents the constant of integration.

To determine the value of C, we can use the initial condition F(0) = 4:

4 = (8/3)(0)³ + (7/2)(0)² - 3(0) + C

4 = 0 + 0 - 0 + C

4 = C

Thus, the function F(x) is:

F(x) = (8/3)x³ + (7/2)x² - 3x + 4

This function satisfies the given derivative condition

F'(x) = 8x² + 7x - 3 and the initial condition F(0) = 4.

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The proof of ∠WVY = ∠XVZ for the given angles in the figure has been proved.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

As per the given,

∠WVX = ∠YVZ

Since,∠WVX = ∠WVY - ∠YVX

∠YVZ = ∠XVZ - ∠YVX

Compare both,

∠WVY - ∠YVX  = ∠XVZ - ∠YVX

∠WVY = ∠XVZ (proved)

Hence "The proof of ∠WVY = ∠XVZ for the given angles in the figure has been proved".

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12

1) Considering this Data Set:

8 12 15 9 10 12 12 18 14 15 10 11 12 9 17

2) And the fact that the mode is the central tendency measure that indicates the data point that repeats itself the most, we can tell that the mode is:

Note that this is the data point that repeats itself the most.

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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Answer:

13 hearts, plus 3 other queens- so 16 out of 52, simplified 4 out of 13.

The distance the water sprays as the sprinkler rotates is 7.34 ft

Since the grassy area is circular, its area is the area of a circle.

So, A = πr² where r = radius of circle = distance sprinkler sprays

Making r subject of the formula, we have

r = √(A/π)

Since A = 172 ft², substituting the values of the variables into the equation, we have

r = √(A/π)

r = √(172 ft²/π)

r = √(172 ft²/3.142)

r = √(54.749 ft²)

r = 7.34 ft

So, the distance the water sprays as the sprinkler rotates is 7.34 ft

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Answer:

its 3 3/4 :)

Step-by-step explanation:

Answer:

46$ in total

y=2r+20

If Isabella goes on 13 rides, she would have to pay a total of $46. If she rides 'r' times, the total cost would be expressed by the mathematical equation 20 + 2r.

This question relates to a linear relationship involving a fixed cost and a variable cost. In Isabella's case, the fixed cost is the admission fee, which is $20. The variable cost is the rides, where each ride costs $2.

So, if she goes on 13 rides, she will have to pay: $20 (for admission) + ($2 * 13 (rides)) = $20 + $26 = $46.

For r rides, the total cost would be: $20 (for admission) + ($2 * r (rides)). So the total cost for r rides can be expressed in a mathematical equation as: 20 + 2r.

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Answer: The answer will be 8^2

Step-by-step explanation: We know,

4^3 = 4*4*4 = 64 which is also equivalent to next in series 4*4 =8 and 3-1 =2

i.e. 8^2= 64

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To earn an average grade of 90 student need to score of 116 on a fourth exam.

To find the score needed on the fourth exam for the student to earn an average grade of 90,

we can set up an equation.

Let us denote the score on the fourth exam as x.

The average grade is calculated by summing all the scores and dividing by the number of exams.

Here we have 3 exams with scores of 84, 80, and 80, and we want the average grade to be 90.

(84 + 80 + 80 + x) / 4 = 90

Simplifying the equation,

⇒(244 + x) / 4 = 90

Now, we can solve for x.

⇒244 + x = 90 × 4

⇒ 244 + x = 360

⇒ x = 360 - 244

⇒x = 116

Therefore, the student would need a score of 116 on the fourth exam to earn an average grade of 90.

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Answer:

Step-by-step explanation:

The quadratic formula allows us to solve any quadratic equation that's in the form ax^2 + bx + c = 0.

(The quadratic formula helps us solve any quadratic equation. First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) .)

Answer:

(w-2)x4 = p (i think)

Step-by-step explanation:

To construct a truth table for the given logical expression using De Morgan's Law, we'll break it down step by step and apply the law to simplify the expression.

Let's start with the given expression:

Xyz + X(Y Z)' + X'(Y + Z) + (Xyz)' (X + Y')(X' + Z')(Y' + Z')

Step 1: Apply De Morgan's Law to the term (Xyz)'

(Xyz)' becomes X' + y' + z'

After applying De Morgan's Law, the expression becomes:

Xyz + X(Y Z)' + X'(Y + Z) + (X' + y' + z')(X + Y')(X' + Z')(Y' + Z')

Step 2: Expand the expression by distributing terms:

Xyz + XY'Z' + XYZ' + X'Y + X'Z + X'Y' + X'Z' + y'z' + x'y'z' + x'z'y' + x'z'z' + xy'z' + xyz' + xyz'

Now we have the expanded expression. To construct the truth table, we'll create columns for the variables X, Y, Z, and the corresponding output column based on the expression.

The truth table will have 2^3 = 8 rows to account for all possible combinations of X, Y, and Z.

Here's the complete truth table:

```

| X | Y | Z | Output |

|---|---|---|--------|

| 0 | 0 | 0 |   0    |

| 0 | 0 | 1 |   0    |

| 0 | 1 | 0 |   0    |

| 0 | 1 | 1 |   1    |

| 1 | 0 | 0 |   0    |

| 1 | 0 | 1 |   0    |

| 1 | 1 | 0 |   1    |

| 1 | 1 | 1 |   1    |

```

In the "Output" column, we evaluate the given expression for each combination of X, Y, and Z. For example, when X = 0, Y = 0, and Z = 0, the output is 0. We repeat this process for all possible combinations to fill out the truth table.

Note: The logical operators used in the expression are:

- '+' represents the logical OR operation.

- ' ' represents the logical AND operation.

- ' ' represents the logical NOT operation.

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