what is 4/20 in simplist form

Check the picture below.

By including another variable in the regression, you will: Increase complexity, number of parameters, flexibility, etc.,

1. Increase the complexity of the model.

2. Potentially improve the explanatory power of the model.

3. Capture additional factors or variables that may influence the dependent variable.

4. Allow for a more comprehensive analysis of the relationship between the independent and dependent variables.

5. Increase the number of parameters in the regression equation, potentially requiring a larger sample size to obtain reliable estimates.

6. Introduce the possibility of multicollinearity if the new variable is highly correlated with existing variables in the model.

7. Provide opportunities for interaction effects and uncover more nuanced relationships between variables.

8. Increase the flexibility of the model to account for different sources of variation and potentially improve the accuracy of predictions.

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Answer:

\(3^{7}\)

Step-by-step explanation:

\(\frac{6}{2} ^{7}\)

6/2 = 3

So, the answer is \(3^{7}\)

To write the given expression, -4cos(t) - 5sin(at), in the form u R cos(wot - 6), the values are as follows:

R = √41

wo = a

6 = tan^(-1)(5/4)

To write the given expression, -4cos(t) - 5sin(at), in the form u R cos(wot - 6), we need to determine the values of wo, R, and 6.

The expression -4cos(t) - 5sin(at) can be rewritten as R cos(wot - 6), where R represents the amplitude, wo represents the angular frequency, and 6 represents the phase shift.

Comparing the given expression with the form u R cos(wot - 6), we can determine the values as follows:

Amplitude (R) = √((-4)^2 + (-5)^2) = √(16 + 25) = √41

Angular Frequency (wo) = a

Phase Shift (6) = tan^(-1)(-5/-4) = tan^(-1)(5/4)

Therefore, the values are:

R = √41

wo = a

6 = tan^(-1)(5/4)

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Answer:

60 minutes is 20% of 300 minutes

Step-by-step explanation:

let x be the number of total minutes

60 = 20% of x

20% = 1/5

60 = 1/5x

multiply both sides by 5

300 = x

x = 300 minutes

The numbers that cannot be probabilities are: square root of 2, -53, 5/3, and 1.31.

Probability is a measure of the likelihood of a particular event occurring in a random experiment. It is a value between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain to occur.

In statistics, probability is used to make predictions or draw inferences about a population based on a sample of data. For example, if we were to flip a coin, the probability of getting heads is 0.5, or 50%. In general probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes, which is the mathematical framework behind the random experiments.

From the set of numbers, 0, 0.08, and 3/5 are all possible values of probability.

Therefore, square root of 2, -53, 5/3, and 1.31 cannot be probabilities.

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The expression that equals 2D−3C in standard form is -2s² - 11s - 7

Algebraic expressions are defined as expressions that are composed of coefficients, variables, terms,  factors and constants.

From the information given, we have that;

D=1−s^2 −s and C=3+3s,

To determine the expression for 2D - 3C

substitute the values of the expressions, we get;

2(1-s² - s) - 3(3 + 3s)

expand the bracket

2 - 2s² - 2s - 9 -9s

collect the like terms or factors, we get;

-2s² - 2x - 9s - 9 + 2

Add or subtract the values

-2s² - 11s - 7

Hence, the expression is -2s² - 11s - 7

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Answer:

a. After 0,5 s;

b. Yes, by 0,5 ft;

c. 1 s

Step-by-step explanation:

In order to find the maximum value of h (height), we have to find this function's vertex (y, since h(t) = y):

\(y = - 16 {t}^{2} + 16t\)

a = -16; b = 16

\(x(vertex) = \frac{ - b}{2a} = \frac{16}{2 \times 16} = \frac{16}{32} = \frac{1}{2} = 0.5\)

\(y(vertex) = - 16 \times ({0.5})^{2} + 16 \times 0.5 = 4\)

This function will reach its maximum value, when y = 4:

\( - 16 {t}^{2} + 16t = 4\)

Let's write this quadratic equation in the following form:

\(a {x}^{2} + bx + c = 0\)

\( - 16 {t}^{2} + 16t - 4 = 0\)

a = -16; b = 16; c = -4

\(d = {b}^{2} - 4ac = { 16}^{2} - 4 \times ( - 16) \times ( - 4) = 0\)

\(t1 = t2 = \frac{ - b}{2a} = \frac{ - 16}{2 \times ( - 16)} = \frac{ - 16}{ - 32} = 0.5\)

So, with this value of t, the function will reach its maximum

.

b. Since the maximum height of the horse is 4 ft, that means it can reach the pole that is 3,5 ft. We can find by how much:

4 - 3,5 = 0,5 ft

.

c. In order to find how long the horse is in the air, we need to find where this quadratic equation crosses the x-axis (when y = 0):

\( - 16 {t}^{2} + 16t = 0\)

Let's divide the whole equation by -16:

\( {t }^{2} - t = 0\)

Let's factor this equation:

\(t(t - 1) = 0\)

\(t = 0 \: \: or \: \: t = 1\)

It was in the air from 0 to 1 second, for a total of 1 second

sorry this question is to hard for me

The statement is False that When drawing a context diagram, standardized names should be used within each set of symbols.

According to the statement

we have given the statement and we have to show that the statement is a true or false after analyzing.

So, to analyse the statement

Context diagrams show the interactions between a system and other actors (external factors) with which the system is designed to interface. System context diagrams can be helpful in understanding the context .

But we know that the standardized names is not used within each set of symbols. so, this is used in a randomly sets.

that's why the given statement is not true in the case of the standardized names.

So, The statement is False that When drawing a context diagram, standardized names should be used within each set of symbols.

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The value of the expression tan(-5π/6) can be determined using trigonometric properties and  identities.

First, let's consider the unit circle. The angle -5π/6 is measured in the clockwise direction from the positive x-axis. In this position, the reference angle is π/6, which is the positive angle formed with the x-axis.

The tangent function (tan) is defined as the ratio of the sine (sin) of an angle to the cosine (cos) of the angle. Using the reference angle π/6, we can determine the value of tan(π/6) as the ratio of sin(π/6) to cos(π/6). sin(π/6) equals 1/2, and cos(π/6) equals √3/2. Therefore, tan(π/6) is (1/2) divided by (√3/2), which simplifies to 1/√3 or √3/3. Since tan is an odd function, tan(-5π/6) is equal to the negative of tan(5π/6). Therefore, tan(-5π/6) has the same value as -√3/3.

In conclusion, the value of tan(-5π/6) is -√3/3, which means that the tangent of the angle -5π/6 is negative and equal to the ratio of -√3 to 3.

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Coating the seed typically improves seed quality and germination rates, so the same seeding rate can be maintained even with coated seed.

To convert mass-based seeding rates to population-based establishment rates, we need to consider the area conversion factors provided:

a. Given a seeding rate of 60 lbs/acre for cereal rye, we can convert it to seeds per square foot by using the conversion factor of 1 acre = 43,560 square feet.

b. Given a seeding rate of 15 kg/ha for crimson clover, we can convert it to seeds per square meter using the conversion factor of 1 hectare = 10,000 square meters.

To convert population-based seeding rates to mass-based seeding rates, we can use the given area conversion factors:

a. Given a seeding rate of 30 plants/square foot for oats, we can convert it to pounds of seed per acre.

b. Given a seeding rate of 20 plants/square meter for hairy vetch, we can convert it to kilograms of seed per hectare.

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Answer:

Step-by-step explanation:

ok so this is a vetical angle. so they are equal to 180. so if 1 measurement is found the other is the difference of 180 and that angle measeurement.

so y is the same as 110

and 180 - 110 is 70, so x and z are equal to 70.

i hope this helped you :)

Answer:

y=110, x and z=70

Step-by-step explanation:

110 and y are congruent angles, so they both are 110 degrees.

both angles on the same side of the line always total 180 degrees,

so x and z must be 70.

Answer:

x/7 + 1 = 10

Step-by-step explanation:

x/7 + 1 = 10

When a\(_{n}\) = \(2^{n}\)+ n,  a₀ = 1,  a₁ = 3,  a₂ = 6, and a₃ = 11  

When a\(_{n}\) = n^(n+1)!,  a₀ = 0,  a₁ = 2,  a₂ = 2⁶, and a₃ = 3²⁴  

When a\(_{n}\) =  [n/2], a₀ = 0,  a₁ = 1/2,  a₂ = 1, and a₃ = 3/2      

When a\(_{n}\) = [n/2] + [n/2], a₀ = 0,  a₁ = 1,  a₂ = 2, and a₃ = 3/2  

Number sequence

A number sequence is a progression or a list of numbers that are directed by a pattern or rule.

Here,

a₀, a₁, a₂, and a₃ are terms of a sequence

from option a, a\(_{n}\) = \(2^{n}\)+ n

⇒ a₀  = 2⁰+ 0 = 1+0 = 1

⇒ a₁  = 2¹+ 1 = 2+1 = 3

⇒ a₂, = 2²+ 2 = 4+2 = 6

⇒ a₃  = 2³+ 3 = 8 +3 = 11  

from option b, a\(_{n}\) = n^(n+1)!

⇒ a₀  = 0^(0+1)! = 0

⇒ a₁  = 1^(1+1)! = 2² = 2

⇒ a₂, = 2^(2+1)! = 2^(3)! = 2⁶          [ ∵ 3! = 6 ]

⇒ a₃  = 3^(3+1)! = 3^(4)! = 3²⁴         [ ∵ 4! = 24 ]

from option c, a\(_{n}\) =  [n/2]          

⇒ a₀  = [0/2] = 0

⇒ a₁  = [1/2] = 1/2

⇒ a₂, = [2/2] = 1

⇒ a₃  = [3/2] =  3/2  

from option d, a\(_{n}\) = [n/2] + [n/2]

⇒ a₀  =  [0/2] + [0/2] = 0

⇒ a₁  =  [1/2] + [1/2] = 1/2 + 1/2 = 1

⇒ a₂, = [2/2] + [2/2] = 1 + 1 = 2

⇒ a₃  =  [3/2] + [3/2] = 6/4 = 3/2

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The Complete Question is -

What are the terms a₀, a₁, a₂, and a₃ of the sequence {a\(_{n}\)}, where a\(_{n}\) is where a\(_{n}\) equals

a. \(2^{n}\) + n                    b. n^(n+1)!

c. [n/2]                      d. [n/2] + [n/2]

The work required to pull 15 ft of the cable to the top is 45 lb-ft.  

It can be calculated using the formula for work, which is W = Fd, where W is the work, F is the force, and d is the distance.

First, we need to determine the force required to pull the cable. Since the cable weighs 60 lb and is 20 ft long, the weight per foot of the cable is 60 lb / 20 ft = 3 lb/ft.

Next, we need to determine the distance that the cable needs to be pulled. In this case, the distance is 15 ft.

Finally, we can plug these values into the formula for work to find the work required to pull 15 ft of the cable to the top:

W = Fd
W = (3 lb/ft)(15 ft)
W = 45 lb-ft

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Answer:

Step-by-step explanation:

251 divided by something has to equal to a number it will divide by...

2 3 = 2x 2 x 2 = 8

x

p 2 = pxp

251 divided by 25 x8

/49 x8

/100x8

/4x 8

so I would say  5

\(\huge\text{Hey there!}\)

\(\large\text{Equation: }\mathsf{a - 2\dfrac{1}{2} = 1\dfrac{1}{2}}\)

\(\large\text{You have to SIMPLIFY the BOTH SIDES of the given EQUATION}\)

\(\mathsf{-2\dfrac{1}{2}=\bf -\dfrac{5}{2}}\)

\(\mathsf{1\dfrac{1}{2}=\bf \dfrac{3}{2}}\)

\(\large\text{New equation: }\mathsf{a + \dfrac{-5}{2}= \dfrac{3}{2}}\)

\(\large\text{ADD by }\mathsf{\dfrac{5}{2}}\large\text{ to BOTH SIDES}\)

\(\mathsf{a + \dfrac{-5}{2}+\dfrac{5}{2}= \dfrac{3}{2}+ \dfrac{5}{2}}\)

\(\large\text{Cancel out: }\mathsf{-\dfrac{5}{2}+ \dfrac{5}{2}}\large\text{ because it gives you 1}\)

\(\large\text{Keep: }\mathsf{\dfrac{3}{2}+\dfrac{5}{2}}\large\text{ because it helps solve for \bf a}\)

\(\large\text{New equation: }\mathsf{a = \dfrac{3}{2}+\dfrac{5}{2}}\)

\(\mathsf{\dfrac{3+5}{2\ \& \ 2}}\)

\(\mathsf{3 + 5 = 8}\)

\(\mathsf{2\ \& \ 2=2}\)

\(\large\text{Equation: }\mathsf{a = \dfrac{8}{2}}\)

\(\large\text{Simplify above and you have the \bf a value}\uparrow\)

\(\boxed{\boxed{\large\textsf{Answer: \huge \bf a = 4}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The light fixtures will make approximately 0.914 swings per second during a minor earthquake in San Francisco.

To determine the frequency of the swings per second for the light fixtures, we need to use the formula for the period of a pendulum, which is T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

In this case, the length of the pendulum is given as 1.50 m, and the mass of the bulb is given as 2.35 kg. We can assume that the shade and cord add negligible mass to the system. The acceleration due to gravity is approximately 9.8 m/s^2.

Plugging in the values, we get:

T = 2π√(1.50/9.8)

T ≈ 1.093 seconds

The frequency of the swings per second is the reciprocal of the period, so:

f = 1/T

f ≈ 0.914 Hz

It's important to note that this is an approximation, and the actual frequency may vary depending on factors such as the amplitude of the oscillations and the specific characteristics of the earthquake.

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Answer:

0.255

Step-by-step explanation:

Answer: 0.255

Step-by-step explanation: 25.5/100= 0.255

Answer:

32

Step-by-step explanation:

Hope it helps!!

Answer:

50

Step-by-step explanation:

the missing number is 50

Answer:

50

Step-by-step explanation:

Every number is being multiplied by 10

Hope this helps you out! :)

Answer:

70 errors

Step-by-step explanation:

43 + 62 = 105

105 - 35 = 70

Answer:

26

Step-by-step explanation:

I will assume you meant this:    5 ( 7-4)²  ÷ 3 + 11

Using PEDMAS

  Parentheses first

      5 ( -3)² ÷ 3 + 11

  then exponents

     5 ( 9)  ÷ 3 + 11  

   then division

        5 * 3   + 11

    and multiplication

          15 + 11    then addition and or subtraction = 26

Answer:

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Subtract 15 from both sides then divide by 3.

Answer:

3x + 15 = 90

3x = 90 - 15

3x = 75

x = 25

Use 1/8*(whatever amount of days until fractions match)

it will take road x 44 days to repair (1/8*44)

road y will take 70 days to repair (1/8*70)

it will take road y 26 days longer to repair

Answer:

1.) x+2

2.) x+4

Step-by-step explanation:

I got it right on Edge, hope this helps

The expression represents the second consecutive odd integer is X + 2

and for the third consecutive odd integer is X + 4.

All whole numbers and negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a set of integers is formed.

An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.

Given One example of consecutive odd integers would be 3, 5, 7, 9, ...

the difference between 2 consecutive numbers is

5 - 3 = 2

when X is the first odd integer,

the second consecutive odd integer is X + 2

difference between 3rd and first digit is

7 - 3 = 4

the third consecutive odd integer is X + 4

Hence adding the consecutive even numbers to the first digit of odd numbers gives the consecutive odd numbers.

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$5 for 1 shirt

y = cost

x = number be shirts

10y = 2x

5y = x

Answer:

A square has 4 sides of equal length, so if you have been given the length, this is also the breadth.

Therefore, the perimeter is 4 x side length.

For example, imagine a square with side length 3 cm.  As all four side lengths are equal, the perimeter would be 4 x 3 cm = 12 cm

Answer:

Therefore the zeros of this function are between 1 and 2. So the correct answer is "a".

Step-by-step explanation:

In order to find the zeros of a function we need to find at which values for "x" make f(x) equal to zero. Therefore we have:

\(f(x) = x^3 - 2 \\0 = x^3 - 2\\x^3 - 2 = 0\\x^3 = 2\\x = \sqrt[3]{2} = 1.2599\)

Therefore the zeros of this function are between 1 and 2. So the correct answer is "a".