Explaining How to Use Linear Palls and
Imagine two lines intersect. How can the properties of
linear pairs and vertical angles help to determine the
angle measures created by the intersecting lines?
Explain.

Answer:

The answer is 126 square inches.

Step-by-step expalation

Answer:

c. 10

Step-by-step explanation:

AREA = WIDTH * LENGTH

Area = 50

Width = 5

Length = ?

50 = 5 * LENGTH

LENGTH = 50 / 5 = 10

The probability of rolling a one is 1/6 because there is one side labeled "1" out of 6 sides total.

Assuming the two dice rolls are independent of one another, the probability of rolling two "1"s is (1/6)*(1/6) = 1/36.

There are 36 ways to roll two dice and only 1 way to get snake eyes.

The order from least to greatest would be 12, 14, 18, 112, 114, 158 miles.

The order of the number of miles the girls run from least to greatest is 12, 14, 18, 112, 114, and 158 miles.

To solve the problem, we first need to find the least number of miles each of the girls ran. Eloise ran 12 miles, while Amelie and Kiki both ran 18 miles.

Therefore, the order from least to greatest would be 12, 14, 18, 112, 114, 158 miles.

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The amount of money, in dollars, that Hector earns $12 per hour after taxes. This means that 75% of his earnings before taxes are retained, resulting in $12 per hour in take-home pay

The expression given, 0.75(16h), represents the amount of money Hector earns after taxes for working h hours. Let's break it down to determine how much money he earns per hour.

The expression 0.75(16h) calculates 75% of the earnings before taxes, which is $16 per hour. Multiplying 16h by 0.75 gives us the amount of money after taxes. 0.75(16h) = 12h

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Answer:

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\(6k + 50.5 = 0 \\ 6k = - 50.5 \\ k = \frac{ - 50.5}{6} \\ k = - 8.4166..\)

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The curve -3\(x^{2}\) + 18x +3 has a maximum value of 30 at x = 3

A point at which a function’s value is greatest. If the value is greater than or equal to all other function values, it is an absolute maximum. if it is merely greater than any nearby point, it is a relative, or local, maximum. In calculus, the derivative equals zero or does not exist at a function’s maximum point.

Differentiate f(x) =  -3\(x^{2}\) + 18x +3 ,

we have dy/dx = -6x + 18.

at turning point, dy/dx = 0

-6x + 18 = 0

6x = 18

x =18/3

x = 3

to check if x = 3 is a minimum or maximum point, we take the second derivate

which is  \(\frac{d^{2}y }{dx^{2} }\) = -6

since  \(\frac{d^{2}y }{dx^{2} }\) < 0

F(x) is a maximum,

so maximum value of x, we substitute x = 3 into the function

f(x)  = -3\((3)^{2}\) + 18(3) + 3

f(x) = 30

In conclusion, the maximum value for the function is 30 at x = 3

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9514 1404 393

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you with three of the functions. Then you need to remember the relations between those and the other three.

  Tan = Opposite/Adjacent

  tan(Ф) = 4/5

This suggests you can draw a triangle like the one attached that has adjacent side 5 and opposite side 4. Then hypotenuse can be found from the Pythagorean theorem:

  AC² = AB² +BC² = 5² +4² = 41

  AC = √41 . . . . . hypotenuse

Then the other trig functions are ...

  Sin = Opposite/Hypotenuse

  sin(Ф) = 4/√41 = (4/41)√41

  Cos = Adjacent/Hypotenuse

  cos(Ф) = 5/√41 = (5/41)√41

And the reciprocal functions are ...

  csc(Ф) = 1/sin(Ф) = (√41)/4

  sec(Ф) = 1/cos(Ф) = (√41)/5

  cot(Ф) = 1/tan(Ф) = 5/4

761680

\(\sf \boxed{\sum _{n=1}^{44}\:60\left(1.2\right)^{n-2}}\)

Identify the following's:

First Term [a]  =  60(1.2)ⁿ⁻² = 60(1.2)¹⁻² = 50

Common ratio [r]  =  1.2

Total Terms [n] =  44

===========================

\(\sf Geometric \ Sum \ of \ Terms = \dfrac{a(r^n - 1)}{r-1}\)

===========================

Solving Steps:

\(\rightarrow \sf \dfrac{a(r^n - 1)}{r-1}\)

\(\rightarrow \sf \dfrac{50(1.2^{44} - 1)}{1.2-1}\)

\(\rightarrow \sf 761679.5808\)

\(\rightarrow \sf 761680 \ \ \ (rounded \ to \ nearest \ integer)\)

The standard equation of the line is:

\(3x - 4y = 20\), option B.

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

In slope-intercept form, the equation of a line is given by:

\(y = mx + b\)

In which:

In standard form, the equation of the line is:

\(y - mx = b\)

Without fractions.

In this problem:

Thus, the equation is:

\(y = mx + b\)

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

Multiplying everything by 4:

\(4y = 3x - 20\)

\(4y - 3x = -20\)

\(3x - 4y = 20\), option B.

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The value assigned to variable y in the given expression "x = 0; y = (x > 0) ? 10 : -10;" is -10.

In the given expression "x = 0; y = (x > 0) ? 10 : -10;", the variables x and y are being assigned values based on a conditional statement.

First, the value of x is assigned as 0.

The conditional statement (x > 0) checks whether the value of x is greater than 0. In this case, since x is equal to 0, the condition evaluates to false.

The ternary operator ? : is used to specify different values for y based on the outcome of the conditional statement. If the condition is true, the value assigned to y would be 10. On the other hand, if the condition is false, the value assigned to y would be -10.

In this case, since the condition (x > 0) is false, the value assigned to y is -10, as indicated after the colon :.

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The partition where the bundle branches are located is called the interventricular septum. The interventricular septum is a wall of tissue that separates the ventricles of the heart. It plays a crucial role in electrical conduction within the heart.

Within the interventricular septum, there are specialized bundles of cardiac muscle fibers known as the bundle branches. These bundle branches are responsible for transmitting electrical signals from the atrioventricular (AV) node to the ventricles, coordinating the contraction and pumping of blood.

The bundle branches consist of the left bundle branch and the right bundle branch. The left bundle branch further divides into the anterior and posterior fascicles, while the right bundle branch extends towards the right ventricle. These branches distribute electrical impulses to specific regions of the ventricles, ensuring synchronized and efficient contraction.

In summary, the partition where the bundle branches are located is known as the interventricular septum. It serves as a pathway for electrical signals to reach the ventricles, facilitating coordinated contraction and efficient pumping of blood.

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Answer:

k is the vertical translation where; if k > 0 the translation is k units up. if k < 0 the translation is k units dn. Remember the order we are supposed to perform the transformations.

Answer:$43.29

Step-by-step explanation:

Answer:

9.99*3=

Step-by-step explanation:

Eat a hot dog. I giving you a laugh to brighten your day

When an algorithm necessitates extensive sharing of instantaneous results, parallelism slows it down. Because there are multiple independent parallel processes and the right number of threads, parallelism will speed up an algorithm.

The ones with data dependencies are the most challenging. It will be exceedingly challenging, for instance, if you are dealing with a vector and the input for the computation at point n depends on the output at position n-1.

When this occurs, you must comprehend what the original algorithm is doing and take an alternative approach. For the aforementioned case, it might be a difficulty with digital signal processing including a feedback-containing digital filter. These are challenging to parallelize, but that is not the sole solution. Instead, you might use the filter and signal's fast Fourier transforms, multiply them, and then perform the inverse transform. All of these operations can be partially parallelized.

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The optimal mix of crops to plant is 1,304 acres of soybeans, 761 acres of corn, and 341 acres of cotton, which will maximize the family's total profit.

3.51 Farm Management problem: Formulate and solve a linear programming model for this problem in a spreadsheet.The given table contains information about the labor-hours and fertilizer needed per acre and the total expected profit per acre for the potential crops under consideration.

Given that Dwight, Hattie, and their children can work at most 6.500 total hours during the upcoming season and have 200 tons of fertilizer available. We need to find the mix of crops that maximizes the family's total profit.Let x1, x2, and x3 be the amount of acres for soybeans, corn, and cotton, respectively.

We need to maximize the profit, which is given byZ = 70x1 + 60x2 + 90x3subject to the constraints given below:2x1 + 3x2 + 4x3 <= 6,500 (labor-hours constraint)3x1 + 2x2 + 4x3 <= 200 (fertilizer constraint)x1, x2, x3 >= 0 (non-negativity constraint)The linear programming model for this problem can be written as follows:maximize Z = 70x1 + 60x2 + 90x3Subject to:2x1 + 3x2 + 4x3 ≤ 6,5003x1 + 2x2 + 4x3 ≤ 200x1, x2, x3 ≥ 0Solving the problem using a spreadsheet, we get the following optimal solution.

 The optimal solution is obtained for x1 = 1,304 acres of soybeans, x2 = 761 acres of corn, and x3 = 341 acres of cotton.

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Answer:

Well we don't have the choices to choose from so I will just list some

36x1x1

18x2x1

3x6x2

3x3x4

2x2x9

6x6x1

3x12x1

Step-by-step explanation:

anything that multiples together to get 36

Hope this helps if you need more let me know! :)

1x factors of 36

1x1x36

1x2x18

1x3x12

1x4x9

1x6x6

2X factors of 18

2x1x18

2x2x9

2x3x6

3 times factors of 12

3x1x12

3x2x6

3x3x4

4 times factors of 9

4x1x9

4x3x3

6 times factors of 6

6x1x6

6x2x3

there are some repeats but that should be most of the choices

Radians are a unit of measurement for angles used in mathematics and physics. They are defined as the ratio between the length of an arc of a circle and the radius of that circle.

One of the most important benefits of using radians to measure angles is that they simplify calculations involving angles, making them easier to work with.

Additionally, they allow for a more elegant and unified approach to mathematical and physical problems involving angles. So, in short, the word "radian" might be associated with concepts such as circles, arcs, and the measurement of angles in mathematics and physics.

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Answer:

y= 1/2x

Step-by-step explanation:

If y is 2 and x is 4

2= 1/2 (4)

2 = 2

Answer:

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of x

To find the value of x we can use either sine or cosine

\( \sin(30) = \frac{5}{x} \\ x \sin(30) = 5 \\ x = \frac{5}{ \sin(30) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}\)

\( \cos(60) = \frac{5}{x} \\ x \cos(60) = 5 \\ x = \frac{5}{ \cos(60) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}\)

Hope this helps you

\( \sf \: I = P(1 + \frac{r}{n} {)}^{nt} - P \\ \sf = 893(1 + \frac{41}{500} ) ^{1 \times 5} - 893 \\ \sf= 893 \times ( \frac{541}{500} ) ^{5} - 893 \\ \sf= 1324.30 - 893 \\ \sf = 431.30\)

Answer:

$431.30(approximate value)

Hope you could get an idea from here.

Doubt clarification - use comment section.

The average velocity for the [3,4] is 27m/s and for [4,5] is 37m/s

The average velocity can be found by taking the derivative of the position function and evaluating it at the midpoint of the interval.

The average velocity on the interval [3,4] is given by (s(4) - s(3)) / (4 - 3), which is equal to (s(4) - s(3)) / 1. Using the position function, s(t) = 5t^2 - 8t + 13, we find that s(4) = 5(4²) - 8(4) + 13 = 61 and s(3) = 5(3²) - 8(3) + 13 = 34. Therefore, the average velocity on the interval [3,4] is (61 - 34) / 1 = 27 m/s.

The average velocity on the interval [4,5] is given by (s(5) - s(4)) / (5 - 4), which is equal to (s(5) - s(4)) / 1. Using the position function, s(t) = 5t² - 8t + 13, we find that s(5) = 5(5²) - 8(5) + 13 = 98 and s(4) = 5(4²) - 8(4) + 13 = 61. Therefore, the average velocity on the interval [4,5] is (98 - 61) / 1 = 37 m/s.

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Answer:

there is no problem

Step-by-step explanation:

Answer:

2x + 50 is the area

so now find the area of the not shaded region

which is 2x + 2

subtract that from the answer

2x + 50 - 2x + 2

52

angle measure | rotation

0                               0

π/6                          1/12

π/4                         1/8

π/2                          1/4

2π/3                        1/3

π                             1/2

3π/2                        3/4

2π                             1

An angle is a measure of the amount of turn between two lines or rays that share a common endpoint. The unit of measure for angles is usually degrees, but radians and gradians are also used.

Since 2π radian corresponds to 1 full rotation. We can say:

π/6 radian = π/6 * 1/2π = 1/12 rotation

1/8 rotation = 1/8 * 2π = π/4 radian

1/6 rotation = 1/6 * 2π = π/3 radian

π/2 radian = π/2 * 1/2π = 1/4 rotation

2π/3 radian = 2π/3 * 1/2π = 1/3 rotation

1/2 rotation = 1/2 * 2π = π radian

3π/2 radian = 3π/2  * 1/2π = 3/4 rotation

1 rotation = 2π radian

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The best way to select a random sample of students is "Ask every 20th student during lunch in the school cafeteria".

The model approach to picking a random sample of students to gather data on teens' music tastes is to ensure that each student has an equal chance of getting chosen. This is known as random sampling, and it assists in reducing biases and ensuring that the sample is representative of the total population.

Option C, Asking every 20th kid during lunch in the school cafeteria, would be the best decision among the possibilities presented.

By picking every 20th student, a decent amount of randomization is achieved, and each student has an equal chance of being included in the sample.

When compared to the other choices, this technique generates a more representative sample.

Hence, the correct answer is C.

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Answer:

32 watermelons

Step-by-step explanation:

Answer:

Fraction of saving = 1/8

Step-by-step explanation:

Given:

Spent on bills = 3/8

Spend on food = 2/5

Spend on entertainment = 1/10

Find:

Fraction of saving

Computation:

Fraction of saving = 1 - Spent on bills - Spend on food - Spend on entertainment

Fraction of saving = 1 - 3/8 - 2/5 - 1/10

By taking LCM

Fraction of saving = [40 - 15 - 16 - 4]/40

Fraction of saving = [5]/40

Fraction of saving = 1/8

An obtuse triangle and right angle triangle can always be used as counter examples to the given statement.

What is acute angle?

An angle which is measuring less than 90 degrees is called an acute angle. This angle is smaller than the right angle

What is obtuse angle?

An obtuse angle is a type of angle that is always larger than 90° but less than 180°. In other words, it lies between 90° and 180°.

What is right angle?

A right angle is an angle of exactly 90 degrees or \pi /2 radians corresponding to a quarter turn. If a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles..

Hence, an obtuse triangle and right angle triangle can always be used as counterexamples to the given statement " All angles in a triangle are acute".

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