Use graph below to write an equation of the line in slope intercept form

2.8889........., 2.8890........, 2.8891...... etc is an irrational number the is between the two rational numbers.

What is a rational number, with an example?

Any number with the pattern p/q, where p and q are integers and q is not equal to 0, is a rational number. Rational numbers include, among others, 1/3, 2/4, 1/5, 9/3, and so forth.

A rational number is a number which is can be represented as the quotient of two numbers without having any remainder i.e., having remainder 0. For example 2.45, 2, 3 etc.

An irrational number has a non zero remainder and has a non terminating quotient. For example the numbers shown in the question 2.888...... and 2.999..... etc.

So the numbers between 2.888... and 2.999... are 2.8889........., 2.8890........, 2.8891...... etc

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Answer:

Angle BAC =50

Step-by-step explanation:

Since O is the circumcenter and angle BOC is the angle subtended by the arc BC at the center and angle BAC is the angle subtended by arc BC

The standard form of function f(x) = 4(x + 6)² + 5 can be written as:

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

The quadratic function is given below.

\(f(\text{x}) = 4(\text{x} + 6)^2+ 5\)

Convert the equation into a standard form. Then we have

\(\rightarrow f(\text{x}) = 4(\text{x} + 6)^2+ 5\)

\(\rightarrow f(\text{x}) = 4(\text{x}^2 + 12\text{x} + 36)+ 5\)

\(\rightarrow f(\text{x})=4\text{x}^2+48\text{x}+144+5\)

\(\rightarrow\bold{f(x)=4x^2+48x+149}\)

Thus, the standard form of function f(x) = 4(x + 6)² + 5 is written by f(x) = 4x² + 48x + 149.

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( a)ρ² = (5/6) sec² θ.

(b) ρ = ±√(5 - 5 cos² θ) / sin θ cos φ.

For part (a) 6z² = 5x² + 5y²

The spherical coordinates for the variables x, y, and z are as follows:

x = ρsinθcosφy = ρsinθsinφz = ρcosθ

Substitute the values of x, y, and z into the given equation:6 (ρ cos θ)² = 5(ρ sin θ cos φ)² + 5(ρ sin θ sin φ)²

Simplify:6ρ² cos² θ = 5ρ² sin² θ (cos² φ + sin² φ)6ρ² cos² θ = 5ρ² sin² θ

Substitute sin² θ = 1 - cos² θ:6ρ² cos² θ = 5ρ² (1 - cos² θ)6ρ² cos² θ = 5ρ² - 5ρ² cos² θ6ρ² cos² θ + 5ρ² cos² θ = 5ρ²6ρ² = 5ρ² / (cos² θ + 5cos² θ)6ρ² = 5ρ² / cos² θ(6/5)ρ² = sec² θρ² = (5/6)sec² θ

The equation in spherical coordinates is ρ² = (5/6) sec² θ.

For part (b) x² + 5z² = 5

The spherical coordinates for the variables x, y, and z are as follows:

x = ρsinθcosφy = ρsinθsinφz = ρcosθ

Substitute the values of x, y, and z into the given equation:

(ρsinθcosφ)² + 5 (ρ cosθ)² = 5ρ²ρ² sin² θ cos² φ + 5 ρ² cos² θ = 5ρ²

Rearrange:ρ² (sin² θ cos² φ + 5 cos² θ - 5) = 0sin² θ cos² φ + 5 cos² θ - 5 = 0sin² θ cos² φ = 5 - 5 cos² θsin θ cos φ = ±√(5 - 5 cos² θ)

The equation in spherical coordinates is ρ = ±√(5 - 5 cos² θ) / sin θ cos φ.

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Hello.

The first fraction is

\(\displaystyle\frac{9}{15}\)

Both the top and bottom can be divided by 3:

\(\displaystyle\frac{3}{5}\) (Simplest Form)

Next fraction:

\(\displaystyle\frac{15}{40} =\frac{3}{8}\)

We divided the top & bottom by 5.

Next:

\(\displaystyle\frac{20}{35}\)

Divide the top & bottom by 5:

\(\displaystyle\frac{5}{7}\)

Next:

\(\displaystyle\frac{12}{20} \\\text{Divide by 4:}\\\displaystyle\frac{3}{5}\)

Next:

\(\displaystyle\frac{44}{48} =\frac{11}{12}\)

Next:

\(\displaystyle\frac{5}{60} =\frac{1}{12}\)

Next:

\(\displaystyle\frac{10}{24} =\frac{5}{12}\)

next:

\(\displaystyle\frac{25}{30} =\frac{5}{6}\)

next:

\(\displaystyle\frac{10}{18} =\frac{2}{9}\)

next:

\(\displaystyle\frac{28}{40} =\frac{14}{20} =\frac{7}{10}\)

\(\displaystyle\frac{8}{10} =\frac{4}{5}\)

\(\displaystyle\frac{3}{9} =\frac{1}{3}\)

\(\displaystyle\frac{15}{20} =\frac{3}{4}\)

\(\displaystyle\frac{6}{9} =\frac{2}{3}\)

\(\displaystyle\frac{20}{32} =\frac{5}{8}\)

\(\displaystyle\frac{5}{35} =\frac{1}{7}\)

\(\displaystyle\frac{2}{8} =\frac{1}{4}\)

\(\displaystyle\frac{2}{20} =\frac{1}{10}\)

\(\displaystyle\frac{33}{36} =\frac{11}{12}\)

\(\displaystyle\frac{15}{40} =\frac{3}{8}\)

\(\displaystyle\frac{32}{36}=\frac{8}{9}\)

\(\displaystyle\frac{14}{20} =\frac{7}{10}\)

I hope it helps.

Have a great day.

\(\boxed{imperturbability}\)

Answer: P(X=28) ≈ C(100, 28) * (1/4)^28 * (3/4)^72 ≈ 0.0368 (rounded to 4 decimal places)

Step-by-step explanation:

Using the binomial probability formula:

P(X=k) = C(n, k) * p^k * (1-p)^(n-k)

Where:

n = 100 (number of trials)

k = 28 (number of successes)

p = 1/4 (probability of success for each trial, since there are 4 sides)

C(n, k) = n! / (k! * (n-k)!)

Plugging the values:

P(X=28) ≈ C(100, 28) * (1/4)^28 * (3/4)^72 ≈ 0.0368 (rounded to 4 decimal places)

We must find p′, q′ in order to calculate the confidence interval; the sample proportion is p′ = 0.842; This is the population proportion's point estimate. Since CL = 0.95 is the requested confidence level, = 1 – CL = 1 – 0.95 = 0.05 (2) (2) = 0.025.

For P, what is the confidence interval at 95 percent?

Since 95% of the area under the curve falls within this interval, the interval (-1.96, 1.96) serves as a 95% confidence interval for the standard normal distribution.

What is the 95 percent confidence interval for the population's proportion of smokers?

Standard Error for Proportion Calculating a 95% Confidence Interval for each group separately is another way to consider whether smokers and nonsmokers have significantly different proportions with wrinkles. For the smokers, we have a certainty time period ± 2(0.0394) or 0.63 ± 0.0788.

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Answer:

Step-by-step explanation:

Yes it is possible you start with one side worth 4 cm and the other two move on to the next

Answer:

  69 miles

Step-by-step explanation:

Put the number in place of the variable representing it and do the arithmetic.

  L = 41 +28 = 69

After 28 days, the length of the road is 69 miles.

Answer:

A. Ariel wants to find the difference of a number and 13.

Step-by-step explanation:

Just took the test

Answer:

A

Step-by-step explanation:

A EDGE 2021

Zach will score his first ringer in (2/5)r times later from the beginning.

Given is that Zach, who scores a ringer 40% percent of the time that he throws a horseshoe. Let [r] be the number of throws it takes Zach to score his first ringer in a game.

Since, [r] represents the number of throws it takes Zach to score his first ringer in a game, we can write -

[x] = 40% of r

[x] = (40/100)r

[x] = (2/5)r

Therefore, he will score his first ringer in (2/5)r times later from the beginning.

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The limit of Nc(t) / t as t approaches infinity is p / μ

To find the limit of Nc(t) / t as t approaches infinity, we need to consider the properties of the renewal process and the counting probability.

Let's denote the number of arrivals in a time interval [0, t] as N(t). This is a renewal process, and the mean interarrival time is μ. Therefore, the average number of arrivals in time t is t / μ.

The number of counted events, Nc(t), can be expressed as the sum of indicator random variables, where each indicator variable takes the value of 1 if the corresponding event is counted and 0 otherwise. Let's denote the indicator variable for the i-th event as Ii.

The probability that an event is counted is given as p. Hence, E[Ii] = p, which means the expected value of each indicator variable is p.

Now, the number of counted events Nc(t) can be expressed as the sum of these indicator variables for all events in the interval [0, t]. Mathematically, we have:

Nc(t) = I1 + I2 + ... + IN(t)

Taking the expected value of both sides, we have:

E[Nc(t)] = E[I1 + I2 + ... + IN(t)]

= E[I1] + E[I2] + ... + E[IN(t)]

= p + p + ... + p (N(t) times)

= N(t) * p

= (t / μ) * p

To find the limit of Nc(t) / t as t approaches infinity, we divide both sides by t:

lim (t → ∞) [Nc(t) / t] = lim (t → ∞) [(t / μ) * p / t]

= p / μ

Therefore, the limit of Nc(t) / t as t approaches infinity is p / μ

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The solid generated when a semicircle is rotated about a line is a solid cylinder.

When a semicircle is rotated about a line passing through its diameter, it sweeps out a three-dimensional shape called a solid cylinder. A solid cylinder is a cylindrical shape that has two circular bases and a curved lateral surface connecting the bases. The bases are congruent and parallel to each other.

To visualize this, imagine taking a semicircle and rotating it about a line passing through its diameter. As it rotates, it forms a solid shape with a circular base and a curved surface that connects the base, resembling a cylinder. The radius of the semicircle will determine the radius of the circular bases of the solid cylinder.

The solid cylinder is a type of right circular cylinder, where the axis of rotation is perpendicular to the bases. It has a constant cross-sectional shape throughout its height, which is the same as the circular shape of the semicircle.

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the amount of ice that will melt from the beginning of day 1 to the beginning of day 4 can be found by integrating the rate of melting over that time period.


To find the amount of ice that melts over the time period from t=0 to t=3, we need to integrate the given rate of melting function, M(t)=4-sin^3 t, over that time period. Using the fundamental theorem of calculus, we can find the antiderivative of M(t):

∫M(t)dt = ∫(4-sin^3 t)dt = 4t + (3/4)cos(t) + (1/12)cos^3(t)

Evaluating this antiderivative from t=0 to t=3, we get:

(4(3) + (3/4)cos(3) + (1/12)cos^3(3)) - (4(0) + (3/4)cos(0) + (1/12)cos^3(0))

Simplifying this expression, we get:

12 + (3/4)cos(3) + (1/12)cos^3(3) - (3/4)

Therefore, the amount of ice that will melt from the beginning of day 1 to the beginning of day 4 is approximately 11.56 acre-feet.

we can find the amount of ice that will melt over a given time period by integrating the rate of melting function over that time period. In this case, we found that approximately 11.56 acre-feet of the ice field will melt from the beginning of day 1 to the beginning of day 4.

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Answer: Its B i just took the test

Step-by-step explanation:

Step-by-step explanation:

4 ( 100 -3)   =  4 x 100  -  4 x 3

                    = 400 - 12 = 388

Answer:

19/15

Step-by-step explanation:

To solve this, we need to add 2/3 and 3/5, to do this, we need to find the LCM of 3 and 5, that is 15. We multiply 2/3 by 5/5 and 3/5 by 3/3. This gets us 10/15 + 9/15. When we add those together, we get 19/15.

Answer:

9/15+10/15

19/15

I hope this helps:

The number of combinations of 6 boys and 20 girls that can exist among 26 children born in a hospital on a given day is 230,230.

]To calculate the number of combinations, we can use the concept of binomial coefficients. The formula for calculating the number of combinations is C(n, k) = n! / (k!(n-k)!), where n is the total number of objects and k is the number of objects we want to select.

In this case, we have 26 children in total, and we want to select 6 boys and 20 girls. Plugging these values into the formula, we get C(26, 6) = 26! / (6!(26-6)!) = 230,230. Therefore, there are 230,230 different combinations of 6 boys and 20 girls that can exist among the 26 children born in the hospital on that given day.

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Answer:

a

Step-by-step explanation:

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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The expressions for the lengths of the segments obtained using vectors notation are;

a. i. \(\overrightarrow{LA}\) = q - (1/2)·p  ii. \(\overrightarrow{AN}\) = (2/7)·(p - q)

b. The expressions for \(\overrightarrow{MN}\), \(\overrightarrow{LA}\), and \(\overrightarrow{AN}\) indicates;

\(\overrightarrow{MN}\) = (1/84)·(46·q - 11·p)

A vector is a quantity that has magnitude and direction and are expressed using a letter aving an arrow in the form, \(\vec{v}\)

a. i. \(\overrightarrow{LA}\) = \(\overrightarrow{BA}\) - \(\overrightarrow{LB}\) =  \(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\)

\(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\) = q - (1/2)·p

\(\overrightarrow{LA}\) = q - (1/2)·p

ii. \(\overrightarrow{AC}\) = \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{AC}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × (p - q)

b. \(\overrightarrow{MN}\) = \(\overrightarrow{MA}\) + \(\overrightarrow{AN}\)

\(\overrightarrow{MA}\) = (5/6) × \(\overrightarrow{LA}\)

\(\overrightarrow{LA}\) = q - (1/2)·p

\(\overrightarrow{AN}\) = (2/7) × (p - q)

Therefore;

\(\overrightarrow{MN}\) = (5/6) × ( q - (1/2)·p) + (2/7) × (p - q)

\(\overrightarrow{MN}\) = (1/84) × ( 70·q - 35·p + 24·p - 24·q) = (1/84)(46·q - 11·p)

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Answer:

Rises to the left and falls to the right

Step-by-step explanation:

Use the degree and the leading coefficient to determine the behavior.

The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.

Function is a type of relation, or rule, that maps one input to specific single output.

The function f(x) is defined as;

f(x)= 123x³+9\(x^4\) - 768x - 3\(x^5\) - 189x² + 1260

WE need the degree and the leading coefficient to determine the behavior.

Since our leading coeffeicent has a leading even degree of 5, and a positive number,

The function will Rises to the left and falls to the right.

The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.

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Based on effect size conventions, d = 0.60 is considered a moderate effect size. It is a standardized measure that quantifies the magnitude of the difference or relationship between two groups or variables.

It provides a standardized way to compare the strength of effects across different studies or contexts. Effect size conventions vary across disciplines and research areas, but a commonly used benchmark is Cohen's d. In this convention, an effect size of d = 0.20 is considered small, d = 0.50 is considered medium or moderate, and d = 0.80 is considered large.

Therefore, with a value of d = 0.60, the effect size is considered moderate according to this convention. It indicates a meaningful and noticeable difference or relationship between the groups or variables being studied, but not as strong as a large effect size would suggest.

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To determine the probability that the mean life of the monitors, denoted by "m," is true, we can use statistical techniques. Given that the production manager claims the monitors have a mean life of 83 months and a variance of 81, we can calculate the probability using the standard normal distribution.

To calculate the probability, we first convert the problem into a standard normal distribution using the Z-score formula: Z = (x - μ) / σ, where Z represents the standard score, x is the observed mean, μ is the claimed mean, and σ is the square root of the claimed variance. In this case, the claimed mean is 83 months, and the claimed variance is 81, so σ is the square root of 81, which is 9.

Let's assume the observed mean is m, for which we want to calculate the probability. We can calculate the Z-score as Z = (m - 83) / 9. By using statistical tables or a calculator, we can find the probability associated with this Z-score. If the probability is less than a predetermined significance level (e.g., 0.05), we can reject the claim that the mean life of the monitors is 83 months.

The probability obtained represents the likelihood of observing a sample mean as extreme as m, assuming the claim is true. If the probability is low, it suggests that the observed mean is significantly different from the claimed mean, casting doubt on the production manager's assertion. Conversely, a higher probability indicates that the observed mean is more likely to occur by chance alone, supporting the claim made by the production manager.

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A person's cardiovascular fitness, age, weight, gender, and the severity of the activity performed may all play a role in how fast a person attains steady-state and fully recovers. When an individual is fit, they tend to have a lower resting heart rate than an unfit person. Furthermore, a fit person's heart rate is less likely to climb to high levels during activity, and their muscles are more efficient, requiring less oxygen to function. Finally, fit people tend to have better cardiovascular health and are more capable of removing waste products from their muscles, allowing for a quicker recovery time.

RQ stands for respiratory quotient and represents the ratio of carbon dioxide produced to oxygen consumed. During exercise, RQ rises because the body is using more carbohydrates than fats to generate energy, which increases carbon dioxide production. During the recovery period, RQ decreases as the body switches back to using fat as its primary energy source and oxygen consumption increases.The graph/plot of RQ as a function of time during rest, physical activity, and recovery phases should show a steady increase during physical activity and a decline during recovery. This variation makes sense because during exercise, the body's demand for energy increases, and RQ increases as a result. Conversely, during recovery, the body switches back to using fat as its primary energy source, resulting in a decrease in RQ.

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Answer:

i think its 6 and 8

Step-by-step explanation:

sorry if i get it wrong

can you tell me if it is right or wrong

Answer:

b

Step-by-step explanation:

b

The length of 4.13 inches is approximately 4.05 millimetres.

1mm = 0.0393701 in, therefore 105mm is equal to 105 x 0.0393701 or 4.13 inches.

A length measurement in the metric system is one hundred and five millimetres. You must apply a conversion factor in order to translate it to inches, which serves as the imperial system's default unit of measurement. As each millimetre is equivalent to 0.0393701 inches, you may calculate the number of inches by multiplying this amount by the number of millimetres (in this example, 105). In more precise terms, 4.13 inches are equal to 105 millimetres.  Calculate this by multiplying 105 by 0.0393701, which yields a result of 4.13. Every measurement in millimetres can be converted to inches by knowing the conversion factor. To convert a given amount of millimetres to inches, simply multiply it by 0.0393701. This makes converting measures from metric to imperial units simple.

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