In the figure below, m2=56° and mZXWY=153º,
Find m Z1.

No, this relation is not a function as we cannot see a particular relation between the 2 variables. The variables keep changing indefinitely.

The core concept of calculus in mathematics is a function. The relations are certain kinds of the functions. In mathematics, a function is a rule that produces a different result for every input x. In mathematics, a function is represented by a mapping or transformation. Letters like f, g, and h are widely used to indicate these operations.

The set of all potential values that can be passed into a function while it is specified is known as the domain. The entire set of values that the function's output is capable of creating is referred to as the "range." The group of values that could be an output from a function is known as the co-domain.

Here in the table,

The value of x and y are given in the table.

The value of x changes and then the value of y changes.

But the change is not definite, or we can say that there is no particular relation between them.

Hence, the relation is not a function.

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Using inferential statistics, it is found that the option that is best surveyed from the collected in the survey is given by:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

An inferential statistic is one that makes inference or predictions about a population based on a sample.

From the table, we have that cookies and cream is the most popular flavor, hence the correct option is:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

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Answer:wheres the diagram?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Recall that the argument of the square root function y = √x must always be 0 or greater.

If you meant y=√x+8 -7, the domain is therefore [0, infinity).

But if you meant y=√(x+8) -7, the domain is [-8, infinity).

Those parentheses are important!

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

let's solve ~

The given equations are :

\(\qquad \tt \dashrightarrow \:5x + 3y = 7 \: \: \: \: \: \: \: \: \: \: \: \: - (1)\)

and

\(\qquad \tt \dashrightarrow \:3x - 5y = - 23 \: \: \: \: \: \: - (2)\)

Now, let's multiply equation (1) by 5 and equation (2) by 3 ~

we will get the results as :

\(\qquad \tt \dashrightarrow \:25x + 15y = 35 \: \: \: \: - (3)\)

\(\qquad \tt \dashrightarrow \:9x - 15y = - 69 \: \: \: - (4)\)

Now, add equation (3) and (4) :

\(\qquad \tt \dashrightarrow \:25x + \cancel{ 15y} + 9x - \cancel{15y }= 35 + ( - 69)\)

\(\qquad \tt \dashrightarrow \:34x = - 34\)

\(\qquad \tt \dashrightarrow \:x = - 1\)

Now, since we got the value of x, let's evaluate y~ by using equation (1) :

\(\qquad \tt \dashrightarrow \:5x + 3y = 7\)

\(\qquad \tt \dashrightarrow \:5( - 1)+ 3y = 7\)

\(\qquad \tt \dashrightarrow \:3y - 5 = 7\)

\(\qquad \tt \dashrightarrow \:3y = 12\)

\(\qquad \tt \dashrightarrow \:y = 4\)

Hence, value of y is 4

I hope you understood the whole procedure ~

Hello ~

My name is Irxdscent, and I will be answering your question today! :D

\(\sf{5x \: + \: 3y = 7}\)

        \(\bold{5x \: + \: 3y \: - \: 3y = 7 \: - \: 3y}\)

        \(\bold{5x = 7 \: - \: 3y}\)

        \(\bold{\frac{5x}{5} = \frac{7}{5} \: - \:\frac{3y}{5}}\)

        \(\bold{x =\frac{7 \: - \: 3y}{5}}\)

\(\sf{3x \: - \: 5y = -23}\)

        \(\bold{3x \: - \: 5y \: + \: 5y = -23 \: + \: 5y}\)

        \(\sf{3x = -23 \: + \: 5y}\)

        \(\bold{\frac{3x}{3} = -\frac{23}{3} \: + \: \frac{5y}{3}}\)

        \(\bold{x = \frac{-23 \: + \: 5y}{3}}\)

Hope It Helps! ~

~ Learn With Lrxdscent ~

\(\underline{Answer :}\)

ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ

Answer:

i know i have been asking lots of questions for my math because im not really good and i only get few answers.

and 2x=4 x is 2 LOL

Step-by-step explanation:

Answer:

Seriously though it makes no sense, like i come on here to get answers and give answers and half the time the answers i find are wrong or people are just trying to get points. I dont get it at all.. At least their is one good person on here!

Step-by-step explanation:

9514 1404 393

Answer:

  (B)  306

Step-by-step explanation:

The chart says 17% of the 1800 cars sold were Mazdas. That number is ...

  17% × 1800 = 0.17 × 1800 = 306

The dealership sold 306 Mazdas.

Answer:

2 apples are left

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

4x-2=18

4x=20

x=5

Therefore your answer is 5

Answer:

5

Step-by-step explanation:

Answer:

A possible solution is she should by 6 bags of popcorn and 10 drinks

Step-by-step explanation:

The price of each bag of popcorn = $7.50

The price of each drink = $4.50

The amount Sarah has to spend = $90

The number of bags of popcorn and drinks Sarah must buy = 16 bags of popcorn and drinks

Let the number of bags of popcorn purchased be represented by x and the number of drinks purchased be represented by y

Therefore, we have;

x + y ≥ 16.....(1)

x × 7.5 + y × 4.5  ≤ 90

Which gives;

7.5·x + 4.5·y ≤ 90....(2)

Rewriting the inequalities as a function of y, gives;

From inequality (1), x + y ≥ 16, we have;

y = ≥ 16 - x

From inequality (2), 7.5·x + 4.5·y ≤ 90, we have;

7.5·x + 4.5·y ≤ 90

4.5·y ≤ 90 - 7.5·x

y ≤ 90/4.5 - 7.5/4.5·x

y ≤ 20 - 5/3·x

Please find attached, the plot of the inequalities

A possible solution is given as the value of x = 6, where y = 10

Therefore, she should by 6 bags of popcorn and 10 drinks.

Answer:

40 degreses

Step-by-step explanation:

there is a right angle and that means it is 90 degreese then it gives you 50 degreese so you add them up and get 140 then you subtract that 140 from 180 and get 40 degreese.

Answer:

c

Step-by-step explanation:

cause it is

Answer:

So there are 500 pairs of numbers that have a sum of 1001. Thus, the sum of numbers from 1 to 1000 is 500*1001 = 500,500.

Step-by-step explanation:

Data can be divided on the basis of qualitative nature into two types as follows:

Thus, it is clear that nominal data can not be ranked or ordered but ordinal data are the type of qualitative data that are categorised and then ranked or ordered.

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Answer:

Jenkins: 25 hours Alexanders: 20 hours

Step-by-step explanation:

To solve this problem we need to set up two equations. We know the rates of each sprinkler's output and how much total water was output. We know how many hours the sprinklers were on. We are looking for how long each sprinkler was used.

We can make a represent hours because we know the rate of sprinkler's output is per hour.

25a+40b=1425

a+b=45

Now to solve this system of equations we need to isolate a variable on one equation to plug into the other.

a+b=45

a=45-b

Now we can plug this in for a in the other equation.

25a+40b=1425

25(45-b)+40b=1425

Distribute 25 into the parenthesis.

1125-25b+40b=1425

1125+15b=1425

15b=300

b=20

Now we know that the Alexander family used their sprinklers for 20 hours. We can plug this back into the other equation to find b.

a+b=45

a+20=45

a=25

The Jenkins used the sprinklers for 25 hours, and the Alexanders used them for 20 hours.

There are 56 different ways to choose 5 books from this collection.

In this case, we have 8 subjects from which we need to choose 5 books. Since there are at least 5 copies of each book, we can assume that we have enough copies of each subject to choose from. The formula for combinations is nCr = n! / (r!(n-r)!), where n represents the total number of subjects and r represents the number of books to be chosen.  

In our case, n = 8 and r = 5.

Plugging these values into the formula, we get 8! / (5!(8-5)!) = 8! / (5!3!).

Simplifying further, we get (8 * 7 * 6) / (3 * 2 * 1) = 56.

Therefore, there are 56 different ways to choose 5 books from this collection.

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Work Shown:

r = 8 = radius

h = 63 = height

V = volume of the cone

\(V = \frac{1}{3}\pi*r^2*h\\\\V = \frac{1}{3}\pi*8^2*63\\\\V = \left(\frac{1}{3}*8^2*63\right)\pi\\\\V = \left(\frac{1}{3}*63*8^2\right)\pi\\\\V = \left(21*64\right)\pi\\\\V = 1344\pi\\\\\)

Side note: You could write the symbol π as "pi" without quotes.

Answer:

12* ( 4+5)

Step-by-step explanation:

48 = 12 * 4

60 = 12 * 5

48 + 60 = 12*4 + 12*5

             = 12*( 4 + 5)

            = 12* 9

            = 108

The completely true statement is made by Bradley: "It is a function: y=x+1 for all x in the domain."

A relation is a function if each input (x-value) is associated with exactly one output (y-value). To determine if the given relation is a function, we can check if there are any repeated x-values. In the relation {(1,2), (3,4), (5,6), (100,101)}, there are no repeated x-values, indicating that each input is associated with a unique output. Alyssa's statement is incorrect because the given relation has enough values in the domain. Carl's statement is also incorrect because the values in the domain and range are interchangeable. Dionne's statement is incorrect because the given relation does not follow the rule y=x^2+1.

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The additional information required to prove  that ΔXYZ and ΔFEG are congruent is  ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE. So option 1 and 5 are correct.

Here in the figure it is given that ∠F and ∠X are congruent. To prove the triangle is congruent we have to prove that either two sides including the angles are congruent or another angle and included side is congruent.

When ∠Z ≅ ∠G and XZ ≅ FG, two angles and included sides are congruent, so triangles are congruent.

∠Z ≅ ∠G and ∠Y ≅ ∠E , we can not apply ASA, since three angles are mentioned

XZ ≅ FG  and ZY ≅ GE , Two sides are given, ASA cannot be applied, we need two angles

XY ≅ EF and ZY ≅ FG, is not possible.

∠Z ≅ ∠G and XY ≅ FE, one corresponding side and two angles are equal, so ΔXYZ ≅ ΔFEG according to ASA.

So, the correct answer is option 1 and option 5.

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The complete question is as follows and image is given below

What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.

∠Z ≅ ∠G and XZ ≅ FG

∠Z ≅ ∠G and ∠Y ≅ ∠E

XZ ≅ FG and ZY ≅ GE

XY ≅ EF and ZY ≅ FG

∠Z ≅ ∠G and XY ≅ FE

Answer:

1 and 5 are correct

Step-by-step explanation:

Data analytics is the process of collecting, analyzing, and interpreting large volumes of data to gain insights and make informed decisions.

Data analytics involves extracting meaningful information from vast amounts of data to guide decision-making. In the context of university recruitment, data analytics can be utilized to identify patterns, trends, and preferences among potential students.

By analyzing historical data on student demographics, interests, and academic performance, universities can gain valuable insights into the characteristics and behaviors of successful applicants.

Universities can use data analytics techniques to target and personalize their marketing efforts. By analyzing data from various sources, such as social media platforms, website interactions, and online surveys, universities can develop targeted advertising campaigns tailored to specific student segments.

These campaigns can highlight the university's unique features, programs, and campus culture, effectively attracting potential students who align with their offerings.

Furthermore, data analytics can assist universities in optimizing their recruitment strategies. By tracking and analyzing data on recruitment channels, conversion rates, and student engagement, universities can identify the most effective recruitment methods and allocate resources accordingly.

They can also leverage predictive analytics to forecast enrollment numbers and anticipate student demand for specific programs or majors, allowing them to proactively adjust their recruitment efforts.

In summary, data analytics enables universities to make data-driven decisions in their recruitment efforts. By utilizing techniques such as data analysis, targeting, and predictive modeling, universities can better understand their prospective student population, tailor their marketing strategies, and optimize their recruitment efforts to attract and enroll the most suitable candidates.

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Answer:

Step-by-step explanation:

(a³ - b³) = (a - b) (a² + ab + b²)

27x³ - 64 = 3³x³ - 4³

               = (3x)³ - 4³   {a = 3x & b= 4)

Substitute in the above formula.

               = (3x -4)([3x]² + 3x*4 + 4²)

              = (3x - 4)(9x² + 12x + 16)

The expression 27x^3-64 factors to (3x-4) (9x^2+12x+16).

Answer:

I think 15% im sorry if this is wrong

Answer for #3: Yes, Ms. Bartlett is correct.

Step-by-step explanation:

2x - 3 - (x + 1) = x - 4

2x - 3 - x - 1 = x - 4

x - 4 = x - 4

The number of points the team scored in each game are 23, 23 and 17 points respectively.

There are three basic types of equation in mathematics. Namely:

Total points scored = 63 points

First game = (x + 6) points

Second game = (x + 6) points

Third game = x points

63 = x + (x + 6) + (x + 6)

63 = x + x + 6 + x + 6

63 = 3x + 12

63 - 12 = 3x

51 = 3x

x = 51/3

x = 17

Therefore,

First game = (x + 6) points

= (17 + 6)

= 23 points

Second game = (x + 6) points

= (17 + 6)

= 23 points

Third game = x points

= 17 points

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The given table represents the counts from three independent random samples taken from three major cities regarding whether teenagers consumed a soft drink in the past week.

By summing up the counts of teenagers who consumed a soft drink from all three cities and dividing it by the total number of teenagers surveyed, we can calculate the overall proportion. Dividing this proportion by the total number of teenagers and multiplying by 100 will give us the percentage of teenagers who consumed a soft drink.

For example, if the first city had a count of 150 teenagers who consumed a soft drink out of a total of 300 surveyed, the second city had 200 out of 400, and the third city had 180 out of 350, the overall proportion would be (150 + 200 + 180) / (300 + 400 + 350) = 530 / 1050. Multiplying this by 100, we find that approximately 50.48% of teenagers consumed a soft drink in the past week based on the combined sample.

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A research center conducted a national survey about teenage behavior. Teens were asked whether they had consumed a soft drink in the past week. The following table shows the counts for three independent random samples from major cities. Baltimore Yes 727 Detroit 1,232 431 1,663 San Diego 1,482 798 2,280 Total 3,441 1,406 4,847 No 177 904 Total (a) Suppose one teen is randomly selected from each city's sample. A researcher claims that the likelihood of selecting a teen from Baltimore who consumed a soft drink in the past week is less than the likelihood of selecting a teen from either one of the other cities who consumed a soft drink in the past week because Baltimore has the least number of teens who consumed a soft drink. Is the researcher's claim correct? Explain your answer. (b) Consider the values in the table. (i) Baltimore Detroit San Diego 0 0.1 0.9 1.0 0.2 0.3 0.4 0.5 0.6 0.7 0.8 Relative Frequency of Response (ii) Which city had the smallest proportion of teens who consumed a soft drink in the previous week? Determine the value of the proportion. (c) Consider the inference procedure that is appropriate for investigating whether there is a difference among the three cities in the proportion of all teens who consumed a soft drink in the past week. (i) Identify the appropriate inference procedure. (ii) Identify the hypotheses of the test.

The probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15

For given question,

A research center poll showed that 85 percent of people believe that it is morally wrong to not report all income on tax returns.

so, the probability that someone have this belief is P = 0.85

We know that in probability,

p = 1 - q

where;

p is probability of success

q is probability of failure.

Thus the probability that someone does not have this​ belief would be,

= 1 - P

= 1 - 0.85

= 0.15

Therefore, the probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15

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The gift that would NOT be considered rebating is option B, the $20 t-shirt without the insurer's name.

Rebating in the insurance industry refers to the act of providing something of value as an incentive to purchase insurance. In the given options, A, C, and D involve gifts with the insurer's name, which can be seen as promotional items intended to indirectly promote the insurer's business.

These gifts could potentially influence the customer's decision to choose that insurer.

However, option B, the $20 t-shirt without the insurer's name, does not have any direct association with the insurer. It is a generic gift that does not specifically promote the insurer or influence the purchase decision.

Therefore, it would not be considered rebating since it lacks the direct inducement related to insurance.

Rebating regulations aim to prevent unfair practices and maintain a level playing field within the insurance market, ensuring that customers make decisions based on the merits of the insurance policy rather than incentives or gifts.

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Answer:

Ages are as follows:
Father: 40

Mother: 37

Son: 11

Each twin daughter: 6

Step-by-step explanation:

Interesting puzzle!

Let

F denote the age of the father

M the age of the mother

S the age of the son

D the age of each of the twin daughters

Total of all ages is

F + M + S + 2D = 100  [1]

We also have

F + S = 51   ==>  S = 51- F    [2]

F - M = 3    ==>  M = F - 3    [3]

S - D = 5 ==> D = S -5  [4]

==> D = (51-F) -5  

==> D = 46 - F         [5]

Substitute this in equation [1] to get

We now have everyone's age in terms of the father's age F

Substituting each of equations [2], [3]  and [5] into [1] we get one equation in terms of F

F + (F-3) + (51-F) + 2(46-F) = 100

(F + F - F -2F ) + (-3 + 51 + 92) = 100

-F + 140 = 100

- F = 100 - 140

-F = -40

or

F = 40

From [3]

M = F - 3 = 40 - 3 = 37

From [2]

S = 51 - F = 51 - 40 = 11

From [4]

D = S - 5  = 11 - 5 = 6

Verify:

F + M + S + 2D = 40 + 37 + 11 + 2 x6 = 100

Step-by-step explanation:

a = father age

b = mother age

c = son age

d = daughters age

1. a + b + c + 2d = 100 (don't forget : twin-daughters)

2. a + c = 51

3. a = b + 3

4. d = c - 5

we need to transform the equations 2-4 to express 3 variables by the 4th, and then put that into the first equation and solve for that one variable.

once we have that, we can use again the equations 2-4 to solve for the other variables.

2. tells us that

c = 51 - a

3. tells us that

b = a - 3

4. and 2. tells us that

d = c - 5 = (51 - a) - 5 = 46 - a

with that we get in 1.

a + (a - 3) + (51 - a) + 2(46 - a) = 100

a + a - 3 + 51 - a + 92 - 2a = 100

2a - 3a + 48 + 92 = 100

-a + 140 = 100

-a = -40

a = 40

b = a - 3 = 40 - 3 = 37

c = 51 - a = 51 - 40 = 11

d = c - 5 = 11 - 5 = 6

so, the father is 40 years old

the mother is 37 years old

the son is 11 years old

both of the twin daughters are 6 years old.

Answer: 258 envelopes

Step-by-step explanation:

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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