y - 5 = 3 ( x + 9) in slope intercept

Answer:

2.5

The lowest point on the graph, or the minimum is at f(x)= 2.5

The minimum value of the given periodic function is, 2.5

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

A periodic function,

Period  = 3π

The value of the function is in the range of (2.5, 4.5)

So,

Maximum value = 4.5

Minimum value  = 2.5

Thus, the minimum value is 2.5

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A nonparametric test for the equivalence of two populations would be used instead of a parametric test for the equivalence of the population parameters if:

a. No information about the populations is available.

Nonparametric tests do not rely on specific assumptions about the underlying population distribution or parameters. They are distribution-free and can be used when there is limited or no knowledge about the populations being compared. Nonparametric tests use ranks or categorical data to assess the equivalence or difference between populations.

Parametric tests, on the other hand, assume specific distributions or parameters and may require certain assumptions to be met, such as normality and equal variances.

Therefore, when no information about the populations is available, a nonparametric test is preferred as it provides a robust and reliable method for testing equivalence.

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Answer:

\( \sf \: -5.1b - 12.6\)

Step-by-step explanation:

Now we have to,

→ Simplify the given expression.

The expression is,

→ 3.1b - 7.3 - 8.2b - 5.3

Let's simplify the expression,

→ 3.1b - 7.3 - 8.2b - 5.3

→ 3.1b - 8.2b - 7.3 - 5.3

→ (3.1b - 8.2b) + (-7.3 - 5.3)

→ (-5.1b) + (-12.6)

→ -5.1b - 12.6

Hence, answer is -5.1b - 12.6.

As a general rule, a recursion function is any function that takes its value by manipulating the previous terms in the function.

To determine the asymptotic upper and lower bounds for the given recursion functions, let's analyze each case separately:

(1) T(n) = 20T(n/9) + \(n^{1.5}\)

In this case, we can apply the Master Theorem to determine the asymptotic bounds. The Master Theorem states that if a recursive function is of the form T(n) = aT(n/b) + f(n), where a ≥ 1, b > 1, and f(n) is an asymptotically positive function, then:

If f(n) = Θ(\(n^{c}\)) for some constant c < logb(a), then T(n) = Θ(\(n^{logb(a)}\))).

If f(n) = Θ(\(n^{logb(a)}\) * \(log^{k(n)}\)) for some constant k ≥ 0, then T(n) = Θ\((n^logb(a) * log^(k+1)(n)).\)

If f(n) = Θ(\(n^{c}\)) for some constant c > logb(a), and if a * f(n/b) ≤ kf(n) for some constant k < 1 and sufficiently large n, then T(n) = Θ(f(n)).

In our case, a = 20, b = 9, and f(n) = \(n^{1.5}\)

Since logb(a) = log9(20) ≈ 1.1505 and c = 1.5, we have c > logb(a). Therefore, we can apply case 3 of the Master Theorem.

Now, we need to check if a * f(n/b) ≤ kf(n) for some constant k < 1 and sufficiently large n. Let's consider k = 1 and n ≥ 1.

20 * \((n/9)^{1.5}\) ≤ 1 *\(n^{1.5}\)

20/9 ≤ 1

Since 20/9 > 1, the condition is not satisfied for k = 1. Hence, we cannot apply the Master Theorem directly.

However, we can observe that grows faster than \((n/9)^{1.5}\), which means that the dominant term in the recursion is \(n^{1.5}\).

Therefore, we can approximate the upper bound as T(n) = O\((n^{1.5})\).

(2) T(n) = 25T(n/625) + \(n^{0.66}\)

Similar to the previous case, let's apply the Master Theorem.

In this case, a = 25, b = 625, and f(n) = \(n^{0.66}\)

logb(a) = log625(25) = 2/3, and c = 0.66. Since c < logb(a), we can apply case 1 of the Master Theorem.

Therefore, T(n) = Θ(\(n^{log625(25)}\)) = Θ(\(n^{(2/3)\)).

Hence, the asymptotic upper and lower bounds for T(n) are T(n) = O(\(n^{(2/3)\)) and T(n) = Ω(\(n^{(2/3)\)).

(3) T(n) = 15T(n/225) + \(n^{0.5}\)

Using the same approach, we have a = 15, b = 225, and f(n) = \(n^{0.5}.\)

logb(a) = log225(15) ≈ 0.5727, and c = 0.5. Since c < logb(a), we apply case 1 of the Master Theorem.

Hence, T(n) = Θ\((n^{log225(15)})\) = Θ(\(n^{0.5727})\).

Therefore, the asymptotic upper and lower bounds for T(n) are T(n) = O\((n^{0.5727})\)and T(n) = Ω(\(n^{0.5727}\)).

(4) T(n) = T(n-10) + \(n^{4.3}\)

In this case, we don't have a direct recurrence relation. However, we can observe that the function T(n) is recursive based on the value T(n-10) and grows with the term \(n^{4.3}.\)

Since there is no division or constant factor in the recursive part, we can assume that the dominant term is \(n^{4.3}.\)

Therefore, the upper and lower bounds for T(n) can be approximated as T(n) = O(\(n^{4.3}.\)) and T(n) = Ω\(n^{4.3}\).

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Answer:

Check SbS explanation for all

Step-by-step explanation:

1 = 120

2 = 65

3 = I can't read the no. given, but it would be 180 - (number given)

4 = 34.5

5 = 35

The required bearing angle of town B from Thomas is 75°.

We have,

Bearing is basically an angle that is measured clockwise from the north. Bearing are generally written in three figure.

Given that

Thomas is facing towards town A, which is at a bearing of 300°.

Implies that town A is 300° from north.

If Thomas turns 135° clockwise, then he faces towards town B,

The bearing angle will be 300+135 = 435°

Since, one complete round makes angle 360°, therefore

The required bearing angle = 435 - 360 = 75

The bearing angle of town B from Thomas is 75°.

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The given set is open, connected, and simply-connected. The given set, an annulus in the upper half-plane, does not contain any "holes" or disjoint regions. Therefore, it is simply-connected.

Openness:

A set is open if every point in the set has a neighborhood contained entirely within the set. In this case, the set is defined as follows:

(x, y) | 16 ≤ x² + y² ≤ 25, y ≥ 0

The given set consists of all points within or on the annulus defined by 16 ≤ x² + y² ≤ 25 and y ≥ 0. Since the boundary points are not included, the set is open. Therefore, the given set is open.

Connectedness:

A set is connected if it is not possible to split it into two non-empty disjoint open subsets. In other words, all points in the set can be continuously connected without leaving the set. To determine the connectedness of the given set, we need to examine its shape.

The set defined as (x, y) | 16 ≤ x² + y² ≤ 25, y ≥ 0 represents an annulus in the upper half-plane. Since the set is a single connected region and no two disjoint open subsets can be formed within it, the given set is connected.

Simple-connectedness:

A set is simply-connected if it is connected and every simple closed curve within the set can be continuously shrunk to a point without leaving the set. In simpler terms, there are no "holes" or missing pieces in the set.

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COMPLETE QUESTION

Determine whether or not the given set is open, connected, and simply-connected. (Select all that apply.)

(x, y) | 16 ≤ x2 + y2 ≤ 25, y ≥ 0

Answer:

7V

The average amount of minutes exercised on each day

Step-by-step explanation:

We are given that every day "V" amount of vegetables are eaten everyday.

If there are 7 days in a week then the amount of vegetables eaten in 1 week would be 7V

E = ( M + W + F ) / 3

M = # of minutes exercised on Monday

W = # of minutes exercised on Wednesday

F = # of minutes exercised on Friday.

Note that to find the average of something you find the sum of the values and divide that by the number of values.

The equation "E" is adding up the # of minutes exercised on Monday, Wednesday and Friday and dividing the sum of that by 3, which happens to be the number of values being added( those values being the # of minutes exercised on Monday, Wednesday and Friday) . So we can conclude that the equation E represents an average, more specifically the average # of minutes exercised on each day.

Answer:

find the difference.   find the sum

Step-by-step explanation:

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

To solve this problem the we have to convert the units with the given information.

1mm is equal to 1000 μm

5μm * (1 mm/1000μm) = (5*1) / 1000 = 5/1000 = 0.005 mm = 5x10^-3 mm

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

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Answer:

The answer is x^3 - 11x^2

Step-by-step explanation:

Write in standard form.

Hoped this helped!

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Answer:

Distributive property.

Step-by-step explanation:

a(b+c)=

ab+ac

“a” is distributed into “b” and “c”.

or

“a” is shared with both “b” and “c”.

Convert it to a decimal and multiply is the best way to describe rate in simple interest formula.

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number. An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.

Given

The r in the simple interest formula stands for rate.

Convert it to a decimal and multiply is the best way to describe rate in formula.

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lol

Step-by-step explanation:

Of total variation in "dependent-variable", the proportion which is explained by variation in "independent-variable" is called (b) coefficient of determination.

The "Coefficient-Of-Determination", denoted as R², is a statistical measure which represents the proportion of total-variation in the dependent variable which can be explained by  variation in "independent-variable".

It quantifies the percentage of dependent variable's variability which can be attributed to the independent variable. A higher coefficient of determination indicates a stronger relationship between the variables, which means that more of variation in "dependent-variable" can be accounted for by changes in the independent-variable.

Therefore, the correct option is (b).

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The given question is incomplete, the complete question is

Of the total variation in the dependent variable, the proportion that is explained by the variation in the independent variable is called

(a) the coefficient of correlation

(b) the coefficient of determination

(c) the coefficient of skewness

(d) none of the above

Answer: Domain

Step-by-step explanation: I just did this question, and got it correct by putting domain.

The input or values that you could put into an expression or

equation is called a Domain

Domain is set of values in a function . The range of the function is the set of values that the function assume .

Since , domain refers to the set of possible input values , it consists of all the input values shown on the x axis .

The input or values that you could put into an expression or

equation is called a Domain

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Answer:

-7/3

Step-by-step explanation:

The first step is to combine like numbers. Although there are several different ways to go about doing this, I started by adding 2y to both sides which left me with -8-6y=6. I then added 8 to both sides and got 6y=14. Now divide 6 on both sides to get "y" by itself which left me with y = -14/6. When you simplify the answer you get -7/3.

Answer:

Step-by-step explanation:

if C is the right angle,

AB is the hypotenuse

AB^2=AC^2+BC^2

AC^2=13^2-5^2

AC^2=169-25=144

AC=\(\sqrt{144}\)=12

AC=12

Answer:

  A = 95238 (only)

Step-by-step explanation:

The question is equivalent to asking what n-digit number consisting only of the digit n will be divisible by n+1. Of the numbers 1, 22, 333, 4444, ... 999999999, the only one is 666666, which is divisible by 7.

The 5-digit integer A is 666666/7 = 95,238. There is only one instance of A.

a. Therefore, the value of X, xo, that satisfies P(41 ≤ X ≤ xo) = 0.8630 is xo = 8.15. We can illustrate this on a graph of the standard normal distribution by shading the area between the z-scores of 0 and 1.05. b. Therefore, the 10th percentile is x10 = 1.16. We can illustrate this on a graph of the standard normal distribution by shading the area to the left of the z-score of -1.28.

a. Using the standard normal probability table, we find that the z-score associated with a probability of 0.8630 is 1.05. Therefore, we can use the formula z = (X - μ) / σ to solve for X:
1.05 = (xo - 5) / 3
Multiplying both sides by 3, we get:
xo - 5 = 3.15
Adding 5 to both sides, we get:
xo = 8.15
b. To calculate the 10th percentile, we need to find the value of X, call it x10, which corresponds to a cumulative probability of 0.1. Using the standard normal probability table, we find that the z-score associated with a cumulative probability of 0.1 is -1.28. Therefore, we can use the formula z = (X - μ) / σ to solve for X:
-1.28 = (x10 - 5) / 3
Multiplying both sides by 3, we get:
x10 - 5 = -3.84
Adding 5 to both sides, we get:
x10 = 1.16

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Probability= 5/9

Even cards = 2,4,6,8

Odd cards = 1,3,5,7,9

The number of ways of choosing one odd and one even number is 5C1 * 4C1

            (  5!/ 1!* 4!) * (4!/1! * 3!)

            5* 4= 20

Total number of ways of choosing 2 cards out of 9 = 9C2

        9!/ 2! * (9-2)!

     = 9!/ 2! * 7!

     = 9*8/2

    = 9 *4= 36

Thus, Probability is = 20/ 36

                             = 5/9

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Answer:

2500ml

Step-by-step explanation:

there's 1000 ml in a liter.

2.5 * 1000=

2500

Answer:

2500ml!!!!!!!!!!!!!!!!!!

Answer:

50 students

Step-by-step explanation:

Students at a school went on a trip. The given equation models the total cost of the trip, where x is the number of students who went on the trip.

18x = 900

How many students went on the trip?

Given equation:

18x = 900

Where,

x = number of students who went on the trip

Number of students who went for the trip

18x = 900

x = 900/18

x = 50 students

Therefore, 50 students went for the trip

The radius of the circle circumscribing the isosceles triangle is :

(a) 20sqrt(2).

To find the radius of the circle circumscribing the isosceles triangle, we need to use the fact that the perpendicular bisectors of the sides of the triangle intersect at the center of the circle. Since the triangle is isosceles, the perpendicular bisector of the base will also be an altitude, so it will intersect the base at its midpoint. Let's call this point M.

First, we can use the Pythagorean theorem to find the height of the triangle. If we draw an altitude from the vertex opposite the base to the midpoint of the base, we get two right triangles that are congruent by the hypotenuse-leg congruence theorem. Let's call the height h. Then:

h^2 + 24^2 = 40^2
h^2 = 40^2 - 24^2
h = sqrt(40^2 - 24^2)
h = 32

Now we can find the distance from the center of the circle to point M, which is the radius of the circle. Let's call this distance r. Since M is the midpoint of the base, its distance from each endpoint is 24. We can use the Pythagorean theorem again to find r:

r^2 = h^2 + 24^2
r^2 = 32^2 + 24^2
r^2 = 1152
r = sqrt(1152)
r = 12sqrt(8)
r = 24sqrt(2)

So the answer is (a) 20sqrt(2).

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Answer:  20

Explanation:

Answer:

3 Cups of flour

Step-by-step explanation:

1 batch of cookies = 1 cup of flour

2 batch of cookies = 2 cups of flour

3 batch of cookies = 3 cup of flour

I hope i helped you :)

Answer:

a. \(6+6+6+6+6+6+6+6+6+6 = 6\times 10\)

b. \(17\times 32\)

c. \((-7)+(-7)+(-7)+(-7)+(-7) = (-7)\times 5\)

d. \(3\times 19\)

e. \(11\times 19\)

f. \((-8)+(-8)+(-8)+(-8)+(-8)+(-8) = (-8)\times 6\)

Step-by-step explanation:

Recordemos que la multiplicación es una operación derivada de la adición, podemos decir que la multiplicación es una forma abreviada de la adición. Por ejemplo, si hallamos la siguiente operación:

\(a\times b = c\) (Ec. 1)

Es equivalente a decir "a es sumada b veces". En el caso de que tanto a como b sean números enteros, siendo b un número natural, es equivalente a decir que:

\(a \times b = \Sigma \limits_{i = 1}^{b} a\) (Ec. 2)

Ahora, procedemos a analizar cada caso:

a. 6+6+6+6+6+6+6+6+6+6

Aquí puede verse 6 es sumado 10 veces, entonces tenemos que:

\(6+6+6+6+6+6+6+6+6+6 = 6\times 10\)

b. Sumar 17 veces el número 32.

\(17\times 32\)

c. (-7)+(-7)+(-7)+(-7)+(-7)

Aquí puede verse que -7 es sumado 5 veces, entonces tenemos que:

\((-7)+(-7)+(-7)+(-7)+(-7) = (-7)\times 5\)

d. Sumar 19 veces el número 3.

\(3\times 19\)

e. Sumar 19 veces el número 11.

\(11\times 19\)

f. (-8)+(-8)+(-8)+(-8)+(-8)+(-8)

Aquí puede verse que -8 es sumado 6 veces, entonces tenemos que:

\((-8)+(-8)+(-8)+(-8)+(-8)+(-8) = (-8)\times 6\)