a) Look at the examples below and determine which relations represent y as
a function of x. Explain why on the lines below.

The graph that does not represents a proportional relationship is: A (see image attached below).

A proportional relationship has a constant, which is uniform and is defined in the equation y = kx, as k. This means a relationship that is proportionate will have an equation in that form.

For a proportional graph, the line must pass through the point of origin which is denoted by the ordered pair, (0, 0).

Therefore, from the options given, the option B represents a proportional relationship because it contains (0, 0), while option C and D takes the form of y = kx.

Therefore, option A does not represent a proportional relationship.

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Answer:

okay i will gladly

Answer:

60 degrees is the measure I think... or 90.

Answer:

40

Step-by-step explanation:

In a triangle all the angles equal to 180

DCE=90 because its a right angle

So you know what both the angles are in the triangle 90 and 60

So you Add both of them together- 90+60=140

Then 180-140=40

CED=40 degrees

Answer:

B

Step-by-step explanation:

s=(u+v)t/2

Cross multiply

2s=(u+v)t

Divide both sides by t

2s/t=u+v

2s/t-v=u

u=2s/t - v

Let's represent the number of adult tickets sold as "x" and the number of child tickets sold as "y".

We know that a single adult ticket costs $8, so the total revenue from adult ticket sales would be 8x. Similarly, a single child ticket costs $5, so the total revenue from child ticket sales would be 5y.

The total number of tickets sold was 245, so we can write an equation:

x + y = 245

We also know that the total revenue was $1768:

8x + 5y = 1768

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

y = 245 - x

Substitute this into the second equation:

8x + 5(245 - x) = 1768

Simplify and solve for x:

8x + 1225 - 5x = 1768

3x = 543

x = 181

So 181 adult tickets were sold. We can use the first equation to find the number of child tickets:

181 + y = 245

y = 64

So 64 child tickets were sold.

Answer:

12

Step-by-step explanation:

t x 5 = 60

60/5 = 12

Answer:

t = 12

Step-by-step explanation:

t*5 = 60

Divide both sides by 5

t = 60/5

t = 12

================================================

Work Shown:

(2n^2)^3

(2n^2)*(2n^2)*(2n^2)

(2*2*2)*(n^2*n^2*n^2)

8n^(2+2+2)

8n^6

I used the rule that a^b*a^c = a^(b+c)

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

Alternative route:

(2n^2)^3

(2)^3 * (n^2)^3

8n^(2*3)

8n^6

The rules used here were (a*b)^c = (a^b)*(a^c) and (a^b)^c = a^(b*c).

Answer:

$ 12 346.40

Step-by-step explanation:

Simply put  '46 ' in where ' x ' is and solve :

P = 6.4 (46^2) - 26 ( 46) = $12 346.40

Volume of given Rectangular Prism is 6\(in^3\), So option A is correct.

Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom and four are lateral faces). The prism's faces are all rectangular in shape. There are three sets of identical faces as a result. A rectangular prism is often referred to as a cuboid because of its shape. A rectangular prism can be found in everyday objects like a geometry box, notebooks, diaries, and rooms.

A rectangular prism's volume is a measurement of how many of its units are occupied. A rectangular prism's volume is expressed in cubic units. It can also be described as how many units are required to fill a rectangular prism.

The area of the base times the height of the rectangular prism equals the volume of the object.

The volume of a rectangular prism = Length × Width ×Height cubic units.

In the given question:

Lengths of edges are \(\frac{2}{2}\)in, \(\frac{3}{2}\)in, \(\frac{8}{2}\)in.

Volume= \(\frac{2}{2}\)×\(\frac{3}{2}\)×\(\frac{8}{2}\) \(in^3\)=\(6\)\(in^3\)

Volume of given Rectangular Prism is 6\(in^3\), So option A is correct.

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Rate of change is the slope.

The slope is the change in Y over the change in X:

Slope = (5- -3) / (2 - -2)

Slope = 8/4

Slope = 2

Answer: A.2

Answer:

Spencer

Step-by-step explanation:

The points are (3,-1) and (5,4) to find slope, you subtract the two y and x points  and divide or put it into a fraction.

The equation for the numerator would be 4-(-1). The negatives cancel out, so the equation is actually 4+1, which is 5.

The equation for the denominator is 5-3, which is 2.

The slope would be 5/2, and Spencer did that work, so Spencer is correct.

The slope will be 5/2, and Spencer did that work, so Spencer is correct.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

Given the points;

(3,-1) and (5,4)

x1 = 3 ; x2 = 5 ; y1 = - 1 ; y2 = 4

Spencer is right because, the slope of a line is obtained thus ;

Slope = change in y / change in x

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

Slope = (4 - (-1)) / (5 - 3)

Slope = (4 + 1) / 2

Slope = 5 / 2

Hence, slope = 2.5

The slope will be 5/2, and Spencer did that work, so Spencer is correct.

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The complete statement is <, >, or = 20% of 80 = 80% of 20 = 16

To complete the statement using <, >, or =, we need to determine which value is larger between 20% of 80 and 80% of 20.

20% of 80 can be calculated as (20/100) x 80 = 16.

Similarly, 80% of 20 can be calculated as (80/100) x 20 = 16.

We can see that both values are equal to 16.

Therefore, the statement can be completed as:

20% of 80 = 80% of 20 = 16.

In other words, 20% of 80 is the same as 80% of 20, and both values are equal to 16.

This result may seem surprising at first, but it is an example of the commutative property of multiplication. This property states that the order of multiplication does not affect the result.

In this case, whether we calculate 20% of 80 or 80% of 20, we are essentially multiplying two numbers and taking a percentage of the result. The order of multiplication does not matter, and we end up with the same value of 16.

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By combination, Three men and three women must be chosen among the six men and seven women that are available. necessary number of methods =  \(^6C_3 * ^7C_3 = 20 * 35 = 700.\)

The sequence of the selection is irrelevant since a combination in mathematics is a selection of items from a set having various members. Regardless of the sequence in which the items were chosen, a mathematical approach known as a combination may be used to calculate the number of alternative arrangements within a collection of objects. Any order can be chosen by a combination. Combinations and permutations are two alternative strategies to divide up a collection of items into subsets in mathematics. The subset's elements can be listed in any order in a combination. In a permutation, the components of a subset are listed in a certain order.

Three men and three women must be chosen among the six men and seven women that are available. necessary number of methods =  \(^6C_3 * ^7C_3 = 20 * 35 = 700.\)

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Answer: LM = 23

Step-by-step explanation:

Solve the algebraic equations:

Line KN: (solve for x)

\(14x-3=25\)

move the 3 to the other side with addition

\(14x=28\)

divide by 14 to get x by itself

\(x=2\)

Now that we have x we can find line KL:

\(9(2)+5\\18+5\\23\)

So we now know that KL is 23 units. And we know that KL = LM

\(\large\boxed{y=\pm\sqrt{\frac{x+3}{5}}}\)

To find the inverse, swap the \(y\) (or \(f(x)\) in this case) and the \(x\), then solve for \(y\).

\(\begin{aligned}y&=5x^2-3\\x&=5y^2-3\\x+3&=5y^2-3+3\\x+3&=5y^2\\\frac{x+3}{5}&=\frac{5y^2}{5}\\\frac{x+3}{5}&=y^2\\\pm\sqrt{\frac{x+3}{5}}&=\sqrt{y^2}\\\pm\sqrt{\frac{x+3}{5}}&=y\end{aligned}\)

\(p < 10-4\\p < 6\)

P<6 is the solution

Be reminded <> change direction when you divide or multiply by a negative number.

Answer:

c)12.6 inches

the ans in cm is 31.9 cm

The lines which are parallel are none.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.

Given;

Coordinates of three lines

a;(1,5) and (-2,-4)

b;(3,2) and (1,-4)

c;(6,1) and (-4,2)

Now, slopes of the lines

a= -4-5/-2-1

=10/3

b=-4-2/1-3

=-3

c=2-1/-4-6

=1/-10

Therefore, by slopes of the line none of them are parallel.

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The unconditional mean E(Y) of the autoregressive model AR(1) is 10.5.

To compute the unconditional mean E(Y) of the autoregressive model AR(1) given by 1.05 + 0.9Y + ε, we can use the property of linearity in expectation and solve for the mean value.

The model can be rewritten as:

Y = (1.05 + ε) / (1 - 0.9)

Since ε follows a normal distribution with mean 0 and variance 0.01, we know that E(ε) = 0.

Using the linearity of expectation, we can compute the unconditional mean E(Y) as follows:

E(Y) = E((1.05 + ε) / (1 - 0.9))

= (1.05 + E(ε)) / (1 - 0.9)

= 1.05 / (1 - 0.9)

= 1.05 / 0.1

= 10.5

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Answer:

7.9

Step-by-step explanation:

7.87400787401

In the next 10 years there will be 398 racoons in the state park

The annual increase in the population size is defined as a sum of differences: the difference between births less deaths and the difference between immigrants less emigrants, in a given country, territory or geographic area at a given year.

Using the formula

p(t) = p(o) e^ kt

k = 3.5/100 = 0.035

t = 10 years

p(t) = 280 e^ 0.035 ×10

p(t) = 280e^0.35

p(t) = 280 × 1.42

p(t) = 398( nearest whole number)

therefore be after 10 years there will be 398 racoons in the state park.

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If A,B, and C are the letters selected and we use A twice, B twice, and C once. The number of ways different passwords exist in this scenario are 30.

A password, sometimes known as a passcode (in devices made by Apple, for instance), is a hidden piece of information that is typically a long string of characters and is used to verify a user's identity. Passwords were always thought to be memorized, but today's average person has access to a huge number of password-protected services, making it difficult to remember a different password for each one. The secret is kept by a party known as the claimant, and the person confirming the claimant's identity is known as the verifier, according to the nomenclature of the NIST Digital Identity Guidelines. The verifier can determine the identity of the claimant when the claimant successfully uses a recognized authentication technique to show the verifier that they know the password.

A, B and C are selected

A is used twice B is used twice and C is once

Total ways = 5!/2!.2! = 30

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Using proportion, we can see that 5 pitchers will serve 40 people if 1/8 pitcher served one person.

Given that,

1/8 pitcher served one person.

Let x be the number of people that the 5 pitchers served.

We can find the value using the proportional method.

Using the proportional concept, the ratio of the number of pitchers served to the number of people will be proportional.

So,

(1/8) / 1 = 5 / x

1/8 = 5/x

Cross multiplying,

x = 40

Hence 5 pitchers will serve 40 people.

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Answer:

\(BD = 30\)

Step-by-step explanation:

Given

\(AB = 17\)

\(AC = 16\)

See attachment

Required

Find BD

If AC = 16, then:

\(AO = 16/2\) i.e. half the diagonal AC

\(AO = 8\)

The diagonals of a rhombus are perpendicular.

This implies that we can apply Pythagoras theorem.

Using Pythagoras theorem on triangle AOB, we have:

\(AB^2 = AO^2 + OB^2\)

\(17^2 = 8^2 + OB^2\)

\(289 = 64 + OB^2\)

Collect like terms

\(OB^2 = 289 - 64\)

\(OB^2 = 225\)

Take positive square roots of both sides

\(OB = 15\)

To solve for BD, we use:

\(OB = \frac{BD}{2}\) --- i.e. half the diagonal BD

\(BD = 2 * OB\)

\(BD = 2 * 15\)

\(BD = 30\)

Answer:1/4

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

1/3 ÷ 4

1/3 x 1/4 = 1/12

Answer: No

Step-by-step explanation:

it helps to organize and categorize large amounts of information, making it more accessible and manageable. This organizational structure helps users to locate specific codes and information efficiently. indexing system True.

The National Codes index lists entries under one main term, which is usually a broad topic or subject area. Under each main term, there may be several subentries that provide more specific details or categories related to the main term. This type of indexing system allows users to quickly and easily find information related to a specific topic, without having to search through an entire document or database. Additionally, it helps to organize and categorize large amounts of information, making it more accessible and manageable.

In the index of the National Codes, entries are listed under one main term to ensure easy navigation and understanding of the content. This organizational structure helps users to locate specific codes and information efficiently.

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Answer:

\( = 15 + 8 \\ = 23 \: mustangs\)

Answer:

21 mustangs

Step-by-step explanation:

8 - 2 + 15 = 21

The number of possible sets of heads and tails that have 2 heads is 11.

Given,

There is one coin and it is flipped five times.

First, we have to list out the outcome when we toss the coin five times.

(HHHHH), (HHHHT), (HHHTT), (HHTTT), (HTTTT), (TTTTT), (TTTTH), (TTTHH), (TTHHH), (THHHH), (THTHT), (HTHTH), (THHTT), (THHHT), (HTTTH), (HTTHH), (HTHHH), (THTTT), (TTHTH), (TTTHT), (TTHHT), (HHTHH), (TTHTT), (HHTTH), (HHTHT), (HTHTT), (THTHH), (THTTH), (HTHHT), (HHHTH)

Now, we can list out the possible sets with 2 heads.

(HHTTT), (TTTHH), (THTHT), (HTTHT), (HTTTH), (THHTT), (TTHHT), (TTHTH), (HTHTT), (THTTH), (HTHTT)

So, the number of possible sets of heads and tails that have 2 heads is 11.

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