HELP PLEASE ASAP
50 points

Answer:

Step-by-step explanation:

The ratio of cocoa powder to one cup of milk is 1/4 cup of cocoa powder to 3 3/4 cups of milk or 1/4 : 3 3/4 or 1 : 15.

Answer: yes the triangles are similar

Step-by-step explanation: a congruent comparison would have the exact same size and shape, similar triangles have the same shape but can be smaller or larger than the original

Answer: The values of x and y are x = 16 and y = 4

Step-by-step explanation:

We can use the information given to set up two equations, as follows:

p = x + 7y = 29 (the cost of making 7 articles)

p = x + 5y = 21 (the cost of making 5 articles)

We can then solve for x and y using either substitution or elimination method.

Substitution method:

Solving the first equation for x:

x = 29 - 7y

Then substitute this value of x into the second equation:

29 - 7y = 21 + 5y

Solving for y:

y = 4

Now we can substitute this value of y back into the first equation:

x = 29 - 7(4) = 5

So the values of x and y are x = 5 and y = 4

elimination method:

Subtracting the second equation from the first:

x = 8 + 2y

Now we can substitute this equation into the first equation:

29 = 8 + 2y + 7y

Solving for y:

y = 4

Now substitute this value of y back into the first equation:

x = 8 + 2(4) = 16

So the values of x and y are x = 16 and y = 4.

Note that both methods give the same solution, but the values of x are different because the two equations are not independent and therefore not the same.

Equation of graph of f is : y = (-1/2)x + 4

A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely.

Given,

The graph of f passes through (- 8, 8)

Line that has

x- intercept a = 1

y-intercept b =  - 2.

Intercept equation of the line

x/a + y/b = 1

x/1 + y/-2 = 1

x - y/2 = 1

-y/2 = 1-x

y = 2x - 2

Comparing it with slope intercept equation of the line y = mx + c

slope m = 2

Product of slopes of two perpendicular lines = -1

If m' is the slope of its perpendicular

then m.m' = -1

        2.m' = -1

         m' = -1/2

Equation of the line

y - y₁ = m'(x - x₁)

Graph of f passes through (-8, 8) and is perpendicular to line y = 2x - 2

y -8 = (-1/2)(x - -8)

y - 8 = (-1/2)(x+8)

y - 8 = (-1/2)x - 4

y = (-1/2)x + 4

Hence, y = (-1/2)x + 4 is the equation graph of f.

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(a) The value of #C(5) = 13.

(b) In the brute-force method, all binary strings of length n are listed and those that contain consecutive 1s are rejected. So a brute-force approach used to compute #C(5).

(c) Using the Theorem of Induction, we proved that #C(C) = #C(l – 1) + #C(l – 2) for l ≥ 2.

Let #C(l) denote the number of binary strings with length l that have no consecutive occurrences of a 1.

For example #C(3) 5; we can list all binary strings of length 3 and determine by inspection that only the strings 000, 001, 010, 100, and 101 have no consecutive occurrences of a 1.

(a) We have to compute #C(5).

All binary strings with length five include:

00000, 00001, 00010, 00100, 00101, 01000, 01001, 01010, 10000, 10001, 10010, 10100, 10101

Strings that don't have successive 1s in them.

So #C(5) = Total number of binary strings with length five

#C(5) = 13

(b) We have to describe why a brute-force approach used to compute #C(5).

In the brute-force method, all binary strings of length n are listed and those that contain consecutive 1s are rejected. The complexity is at least exponential, thus even for modest values of n (like 40 or 50), it will take a long time to process the number of binary strings of length n = 2n.

(c) We have to show that #C(C) = #C(l – 1) + #C(l – 2) for l ≥ 2 and derive a recursive algorithm to compute #C(C).

No empty string contains two consecutive ones.

So #C(0) = 1,

#C(1) = 2 ( 0 and 1)

Base Case : For l = 2,

#C(2) = |{00, 10, 11}|

#C(2) = 3

#C(2) = #C(1) + #C(0)

Consequently, the recurrence is true, for l = 2.

Number of strings with the character 0 = 2 = #C (1)

Theorem of Induction

Assume that the recurrence holds for every l < k and the quantity of strings with 0 = #C(l-1)

Induction Step :

For l = k+1,

#C(k+1): Only those strings of length k that do not include consecutive 1s will be the first string in such strings. These strings will never result in consecutive 1s when a 0 is added.

Thus, the number of strings that end in 0 = #C(k)

Only strings of length k that finish in 0 can be added to.

The number of such strings, by induction = #C(k-1)

Hence, #C(k+1) = #C(k) + #C(k-1)

Recursive Algorithm:

NoCon1(n)

{

1. if n < 0 : return 0

2. if n == 0 : return 1

3. if n==1 : return 2

4. return NoCon1(n-1) + NoCon1(n-2);

}

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One term is referred to as a polynomial function (where n = 1), a 2 polynomials (when n = 2), and a 3 polynomials (when n = 3) depending on the value. Example: The polynomial is categorized according to the quantity of terms as: Monomial: One phrase, three times.

There are three different forms of polynomials, depending on how many terms they contain. Monomial, binomial, and trinomial are the three. A polynomial can be divided into zero polynomial, straight polynomial, cubic polynomial, and cubic polynomial depending on its degree.

How can you tell what degree a phrase is?

The degrees of a component in the polynomials equation is given as a+b if a and b are the proponents of the many variables in a term. For instance, the polynomial contains the equation x2y5, whose degree is 2+5 and hence equals 7.

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Classify each polynomial by its degree and number of terms.

Answer:

1 liter = 1000 mL

8.7 x 10^2 mL = 870 mL

870 mL / 1000 mL = 0.87 liter

hope this helps!!

In a sample of size 100, the median splits the data into two equal parts of 50 observations each. So, 50 observations are below the median and 50 observations are above the median.

The first quartile (Q1) separates the lowest 25% of the data from the rest, so 50 observations are between the median and Q1.

The interquartile range (IQR) is defined as the difference between the third quartile (Q3) and Q1, and represents the range of the middle 50% of the data. Since the IQR contains both Q1 and the median, it encompasses all observations between Q1 and the median,

or a total of 75 observations.

therefore the answer is 25,50,75

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The simplified exponential notation of the given expression is 9a²b

What is an exponential expression?

An expression in the form of a²  is called exponential expression.

The simplified exponential notation of the given expression is 18 * a³ b² / 2ab

The given expression is: 18a³b² / 2ab

We can write the above expression as:

(18/2 ) (a³ / a ) (b² / b )

We know that

aˣ / aⁿ= aˣ⁻ⁿ

a³ / a = a³⁻¹ = a²

b² / b = b²⁻¹= b

So,  ( 18/2) ( a³/a) (b²/ b) = 9 a²b

Hence, The simplified exponential notation of the given expression is 9a²b

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Answer:

ask ur teacher

Step-by-step explanation:

Given:-

[tex] \: [/tex]

[tex] \: [/tex]

To find:-

[tex] \: [/tex]

[tex] \: [/tex]

Solution:-

[tex] \: [/tex]

[tex] \: [/tex]

now , put the value of x= -3 in given eqⁿ ∼

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

hope it helps! :)

Answer: 4/7

Step-by-step explanation:

(16/21)/(4/3) = (16/21)*(3/4) = (16*3)/(21*4) = 48/84 = 4/7

Answer:

The student's GPA is 3.06

This student did not make the dean's list because their GPA is less than 3.20

(I can't see the drop down choices - I am using my own words)

Step-by-step explanation:

The process of computing the overall GPA based on letter grades with quality points and the number of credit hours for each course is as follows:

We have the following data

Course         Letter          Quality     Credit       Points x Credit Hours
                     Grade         Points      Hours    
-----------------------------------------------------------------------------------------------  
1                        A                4               5                      4 x 5 = 20

2                       C                2               3                      2 x 3 =   6  

3                        B               3                5                      3 x 5 = 15

4                        A               4                3                       4 x 3 = 12

5                        D               1                 2                       1 x 2 =  2
------------------------------------------------------------------------------------------------
Totals                                                    18                                 55

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

Overall GPA = 55/18 =  3.06

Since the minimum GPA to make the dean's list is 3.20 and 3.06 is less than 3.20, the student did not make the dean's list

The required solution of the equation is -16.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given :six more than the quotient of a number and 8 is equal to 4

To solve this, we can convert the statement into an algebraic equation, Express it in an equation:

6+(x/8) = 4

subtracted 6 from both sides,

x/8 = -2

multiplied both sides by 8,

x = -16

Therefore, the required solution of the equation is -16.

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Quantitative research is a form of qualitative research that focuses on gathering and evaluating data that can be measured and quantified. This study style use numerical data and statistical approaches to uncover patterns, correlations, and trends in data.

Data is frequently collected through surveys, questionnaires, or standardised tests, and the findings are generally evaluated using statistical software. Response options in quantitative research are frequently constrained and organised, with participants picking from a pre-determined range of answers.

The goal of quantitative research is to produce data that is trustworthy, valid, and generalizable to a broader population. Based on the data acquired, this form of study is frequently used to test hypotheses.

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There are zero number of solutions the system of equations have.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are y=5/2x+2 ------(I) and 2y=5x+8 ------(II)

Substitute equation (I) in (II), we get

2(5/2x+2)=5x+8

5x+4=5x+8

5x-5x=8-4

Therefore, there are zero number of solutions the system of equations have.

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"Your question is incomplete, probably the complete question/missing part is:"

How many solutions does the following system of equations have? y=5/2x+2 and 2y=5x+8

An equation for how much Ann's gym charges for x visits in a one month is y = 20x + 5.

An equation for how much Blake's gym charges for x visits in a one month is y = 20x + 5.

A solution to this system of equations is the ordered pair (0.2, 9).

In order to write an equation that model this situation, we would assign variables to the cost charged by Ann's gym and the cost charged by Blake's gym respectively, and then translate the word problem into algebraic equation as follows:

For the cost charged by Ann's gym, we have the following equation:

y = 20x + 5.

For the cost charged by Blake's gym, we have the following equation:

y = 30x + 3.

In this exercise, we would use an online graphing calculator to plot the given system of equations in order to determine the solution as shown in the image attached below.

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The project is considered to be complete when the EV is equal to the AC. So option b is correct.

When a project is considered complete, it means that the total amount of work that was planned to be done (referred to as the Budget at Completion or BAC) has actually been completed and the amount spent on completing the work so far EV is equal to the BAC.

In project management, Earned Value (EV) and Actual Cost (AC) are two key measurements used to quantify the exhibition of a project.

Earned Value (EV) addresses the arranged value of the work that has been finished. It is calculated by multiplying the arranged completion rate by the Budget at Completion (BAC).

Actual Cost (AC) addresses the actual measure of cash spent on the project in a limited way of time. It is the amount of the multitude of costs caused for the finished work and the work underway.

At the point when the Earned Value (EV) is equivalent to the Actual Cost (AC), it implies that all the arranged work has been finished and all the budget has been spent.

This is a decent indication that the project is on target and is probably going to be finished within the arranged budget.

Thus, when the Earned Value (EV) is equivalent to the Actual Cost (AC), the project is thought of as complete.

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The correct description of the set {4,8,12,16,...} is {x|xEN and x is a multiple of 4 greater than 0}.

What is a set?

The way a person always represents a set is as a collection of items or elements with definite boundaries. A set is indicated by a capital letter. The number of items in a finite set is known as the cardinal number of the set.

We are given a set {4,8,12,16,...}

In the given set, we can see that they are all multiples of 4 but not -4.

Also, 4 is not an odd integer.

Therefore, it is a multiple of 4 greater than 0.

Hence, the correct description of the set {4,8,12,16,...} is {x|xEN and x is a multiple of 4 greater than 0}.

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The linear equation:

1 - (4/3)x = (1/2)*(-x + 7)

Has one solution.

So here we have a linear equation:

1 - (4/3)x = (1/2)*(-x + 7)

To solve it, let's isolate the variable x.

1 - (4/3)*x = -(1/2)*x + (1/2)*7

-(4/3)*x + (1/2)*x = 3.5 - 1

-(8/6)*x + (3/6)*x = 2.5

(-5/6)*x = 2.5

x = (-6/5)*2.5

x = 3

So the linear equation has a single solution, thus, the correct option is A.

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There is also a marginal distribution of Y .The marginal p.m.f. is symbolized fY and is calculated by summing over all the possible values of X : fY(y)def=P(Y=y)=∑xf(x,y).

Now, According to the question:

If X and Y are discrete random variables and f (x,y) is the value of

their joint probability distribution at (x,y), the functions given by:

g(x) = Σy f (x,y) and h(y) = Σx f (x,y) are the marginal distributions of X and Y , respectively (Σ = summation notation).

A marginal distribution is a distribution of values for one variable that ignores a more extensive set of related variables in a dataset.

A marginal distribution is the percentages out of totals, and conditional distribution is the percentages out of some column. UPD: Marginal distribution is the probability distribution of the sums of rows or columns expressed as percentages out of grand total.

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Answer:

Step-by-step explanation:

a) ST

b) SR or RU or RT

c) VW

d) It's 4 units since RU = ST/

Answer:

The expected value of each extended warranty sold by the company is $19.05. This is calculated by taking the 0.9% failure rate after the original warranty period (0.009) multiplied by the replacement cost of $450, which gives an expected cost of $4.05. Then, subtract the cost of the extended warranty ($27) to get an expected value of $19.05 per warranty sold.

To solve this inequality, you can add 1 to both sides of the inequality to get:

−7 + 1 < x − 1 + 1 < 8 + 1

-6 < x < 9

This inequality is a compound inequality, which is made up of two separate inequalities joined by the word "and".

Answer:

Let x be the amount of alloy 1 used, and y be the amount of alloy 2 used.

We know that:

x + y = 53 (total weight of alloy 3 is 53 pounds)

0.35x + 0.69y = 0.40(53) (40% of the alloy 3 is titanium)

We can use the first equation to solve for one of the variables in terms of the other:

y = 53 - x

Substitute this expression into the second equation:

0.35x + 0.69(53-x) = 0.40(53)

0.35x + 36.97 - 0.69x = 21.2

-0.34x = -15.77

x = 46.44 pounds of alloy 1.

y = 53 - x = 6.56 pounds of alloy 2.

The total distance of the race was 68 miles

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

The total distance can be determined from the fractions.

Consider that d represent the total distance of the race.

The distance running is 1/2d. The distance swimming is 1/4d. The remaining distance is 17 miles.

Thus,

 Remaining = total distance - distance running - distance swimming

 17 mi = d -1/2d -1/4d = 1/4d

Use known fractions

68 mi = d

The total distance of the race is 68 miles.

This race has a 17-mile swimming segment, that would take a fast swimmer on the order of 8 hours, by itself.

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Answer:

11, 13, 15, 17, 19

Step-by-step explanation:

The numbers: (x)+(x+2)+(x+4)+(x+6)+(x+8)

Given: (x)+(x+2)+(x+4) = 3+(x+6)+(x+8) => 3x + 6 = 2x + 17 => x = 11

The integers: 11, 13, 15, 17, 19

Answer:

7, 8, 9, 10 and 11

Step-by-step explanation:

Let:

a = smallest integer

Then the five consecutive integers in ascending order will be:

a, (a + 1), (a + 2), (a + 3), (a + 4)

According to the statement in the question:

a + (a + 1) + (a + 2) = (a + 3) + (a + 4) + 3

3a + 3 = 2a + 10

a = 7

Answer:

m = 20

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

Let's pick 2 points (0,5) ( 1 , 25)

The y increase by 20, and the x increase by 1, so the slope is

m = 20

Answer:

The slope is 20.

Step-by-step explanation:

To find the slope of the line, we pick two points on the line and use the slope formula.

m = ( y2-y1)/(x2-x1)

The points I used were ( 0,5) and ( 1,25).

m = ( 25-5)/( 1-0)

   = 20/1

   = 20

The slope is 20.