Which table represents a function?

The equations that represent proportional relationships are:

A. 2x/12 = 3x/18

C. 4/6 = 10/15

E. 5/5 = 11/11

To determine if an equation represents a proportional relationship, ensure each side of the equation gives the same value when simplified. If they do not have the same value, then the equation does not represent a proportional relationship.

A. 2x/12 = x/6

3x/18 = x/6

Therefore, 2x/12 = 3x/18 represents a proportional relationship.

B. 3/6 = 1/2

6/3 = 2

Therefore, 3/6 = 6/3 does not represent a proportional relationship.

C. 4/6 = 2/3

10/15 = 2/3

Therefore, 4/6 = 10/15 represents a proportional relationship.

D. 4x/18 = 2x/9

x/18 = x/18

Therefore, 4x/18 = x/18 does not represent a proportional relationship.

E. 5/5 = 1

11/11 = 1

Therefore, 5/5 = 11/11 represents a proportional relationship.

F. 8/15 = 8/15

4/30 = 2/15

Therefore, 8/15/2/15 does not represent a proportional relationship.

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Answer:

Multiply 5/2 to both sides

Step-by-step explanation:

Doing so 'cancels' out the coefficient of (z+1) on the left-hand side.

a) The volume of the gas is 0.923 x \(10^{-6}\) m³.

b) The pressure of the gas is 0.532 x \(10^7\) Pascals.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

3 = 4k is an equation.

We have,

Volume of a gas (V) ∝ 1/ Pressure of a gas (P)

This can be written as,

Volume of a gas = K / Pressure of a gas

K = VP

Now,

P =1.8 x \(10^6\) Pascals

V = 2.1 x \(10^{-8}\) m³

K = VP = 1.8 x 2.1 x \(10^{-2}\)

k = 3.78 x \(10^{-2}\) pascal m³

Now,

P = 4.1 x \(10^4\) Pascals

V = K/P =  3.78 x \(10^{-2}\) Pascal m³ / 4.1 x \(10^4\) Pascals

V = 0.923 x \(10^{-6}\) m³

Now,

V = 7.1 x \(10^{-9}\) m³

P = k/V =  3.78 x \(10^{-2}\) Pascal m³ / 7.1 x \(10^{-9}\) m³

P = 0.532 x \(10^7\) Pascals

Thus,

The volume is 0.923 x \(10^{-6}\) m³.

The pressure is 0.532 x \(10^7\) Pascals.

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Answer:

\((3x-5)(3x+5)\)

Step-by-step explanation:

Difference of squares states that:

\(a^2-b^2=(a-b)(a+b)\)

In this case...

\(a^2=9x^2\\\sqrt{a^2}=\sqrt{9x^2}\ (take\ the\ square\ root\ of\ both\ sides)\\a=3x\)

\(b^2=25\\\sqrt{b^2}=\sqrt{25}\ (take\ the\ square\ root\ of\ both\ sides)\\b=5\)

This means that...

\(9x^2-25=(3x-5)(3x+5)\)

To find the circumference of a circle with a radius of 7 cm, Erin should use 2×7×π. This is because the circumference of a circle is calculated by the formula 2×π×r.

The circumference is the measure of the perimeter of a circle. Since we know that from every point on the circle to its center has an equal length and is said to be its radius, the perimeter of the circle we can write as

Circumference = 2 × π × r units.

Here r is the radius of the circle.

It is given that Erin wants to find the circumference of a circle with a radius of 7 cm.

So, first, she has to know the formula for finding the circumference.

Here the radius is given as 7 cm i.e., r = 7 cm

Then, the circumference of the given circle is

= 2 × π × r

On substituting the radius value into the above formula, we get

Circumference = 2 × π × 7 cm

⇒ 14π cm

So, she needs to use option A. 2 × 7 × π  for finding the required circumference. This is the first step for finding the circumference of a circle.

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The total score in each situation can be modeled using an algebraic expression. To find the total score, we can evaluate the expression. Here are the algebraic expressions that can be used for the given situation: Let x be the score of each hit, the algebraic expression to model the total score for 4 hits is:4x.

Let y be the score of each home run, the algebraic expression to model the total score for 2 home runs is:2y x 3Using the given information, there were two 3-run home runs and 4 hits that each scored 2 runs. The total score can be calculated as follows:2y x 3 + 4x = Total score Substituting the values given in the problem statement into the equation, we get:2(3) + 4(2) = 6 + 8 = 14Therefore, the total score for the last baseball game is 14.

Shawna and Beatrice, by virtue of their status as the offerees, had the option of accepting or rejecting the offer. The acceptance must meet the requirements of a valid contract. The acceptance must be communicated clearly and immediately. In addition, the acceptance must conform to the offer's terms. In Hyde v Wrench (1840), the court held that an acceptance must be unconditional and absolute and that if the acceptance is not in line with the terms of the offer, it is a counteroffer that terminates the original offer. Since Shawna and Beatrice had not yet responded to the offer, there was no acceptance of the contract. Therefore, there was no legal agreement between the parties as a contract must have both an offer and an acceptance in order to be considered valid.

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Answer:

i think base. i might be wrong.

Step-by-step explanation:

Answer:

Its period................

Answer:

(1,2)

(2,4)

(3,6)

There is No relation between the variables ggg and hhh.

To determine if the given table shows a proportional relationship between the variables ggg and hhh, we need to check if the ratio of hhh to ggg is constant for all values of ggg.

Let's calculate the ratios of hhh to ggg for each value of ggg:

For ggg = 333, hhh/ggg = 999/333 = 3.

For ggg = 666, hhh/ggg = 363636/666 = 546.

For ggg = 999, hhh/ggg = 818181/999 = 819.

Since the ratios of hhh to ggg are not constant, the given table does not show a proportional relationship between the variables ggg and hhh.

Therefore, the answer is "No, the table does not show a proportional relationship between the variables ggg and hhh."

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Answer:

number of senior tickets = 239

number of junior tickets = 187

Step-by-step explanation:

let 's' = number of senior tickets

let 'j' = number of junior tickets

20s + 30j = 10390

s + j = 426

we could use the substitution method to solve the system by making

s = 426-j

we can substitute '426-j' in for 's' in the first equation to get:

20(426-j) + 30j = 10390

8520 - 20j + 30j = 10390

8520 + 10j = 10390

10j = 1870

j = 187

s + 187 = 426

s = 239

Answer:

$3.20 for the small and $4.70 for the large packages.

Step-by-step explanation:

multiply 3.20 by 1 since that is the price of mailing a small package and you want to mail 1.

multiply 4.70 by 4 since that is the price of a large one and you want to mail 4.

3.20 x 1 =3.20

4.70 x 4=18.80

Answer:

65038.55

Step-by-step explanation:

First, Let's turn 12.3% into a decimal which is 0.123

Then Multiply 57,915 by 0.123

57,915 × 0.123= 7123.545 Round; 7,123.55

Then Add  [Mark up = Add] 57,915 with 7,123.55

57,915 + 7,123.55= 65038.55

Hence, the Answer is 65038.55

Answer: Angle 3

Step-by-step explanation:

Answer:

\(total \: earning \: in \: a \: week \: \\ = 14 \times \frac{77}{2} \\ = 7 \times 77 \\ = 539 \\ now \: pay \: for \: her \: friend \\ 539 \times \frac{1}{5} = 107.8\)

The percentage increase per year in the winner's check over the given period. If the winner's prize increases at the same rate, it will be $1,454,735,139.69 in 2040.

To calculate the percentage increase per year in the winner's check over the period from 1895 to 2007, we can use the following formula:

Percentage Increase = (Final Value - Initial Value) / Initial Value * 100

a. Calculating the percentage increase:

Initial Value = $140

Final Value = $1,171,000

Percentage Increase = (1,171,000 - 140) / 140 * 100 ≈ 835,714.29%

b. To estimate the winner's prize in 2040, we can assume the same annual percentage increase will continue. We need to calculate the number of years from 2007 to 2040 and apply the percentage increase to the 2007 prize.

Number of years = 2040 - 2007 = 33 years

Estimated prize in 2040 = 1,171,000 * (1 + (Percentage Increase / 100))^33

Estimated prize in 2040 = 1,171,000 * (1 + (835,714.29 / 100))^33 ≈ $1,454,735,139.69

Therefore, if the winner's prize increases at the same rate, it is estimated to be approximately $1,454,735,139.69 in 2040.

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Answer:i honestly dont know just trying to get points

Step-by-step explanation:

According to the question we get the following outputs For x = 0, g(0) = 0 , For x = 2, g(2) = 4 , For x = 4, g(4) = 8. the range of the function g(x) = 2x, with the given domain {0, 2, 4}, is {0, 4, 8}.

The range of the function g(x) = 2x, with the given domain {0, 2, 4}, can be determined by evaluating the function for each value in the domain.

For x = 0: g(0) = 2(0) = 0

For x = 2: g(2) = 2(2) = 4

For x = 4: g(4) = 2(4) = 8

Therefore, the range of the function is {0, 4, 8}.

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When an auditor uses monetary-unit sampling to examine the total value of invoices, each invoice has a probability proportional to its monetary value of being selected.

Monetary unit sampling (MUS) refers to a statistical sampling method utilized to determine if the account balances or monetary amounts in a population contain any misstatements in an account of transaction. Auditors use monetary unit sampling, which is also known as probability-proportional-to-size sampling or dollar-unit sampling, to establish the accuracy of financial accounts. With monetary unit sampling, each dollar in a transaction is a separate sampling unit. When an auditor uses monetary-unit sampling to examine the total value of invoices, each invoice has a probability proportional to its monetary value of being selected.

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The inventory depreciation expense is determined as $9,000.

The inventory depreciation expense is calculated by applying the following formula as follows;

inventory depreciation expense = cost of the inventory x depreciation rate

The given parameters include;

cost of the inventory in month of June = $60,000

depreciation rate = 15%

The inventory depreciation expense is calculated as follows;

inventory depreciation expense = $60,000 x 15/100

inventory depreciation expense = $60,000 x 0.15

inventory depreciation expense = $9,000

Thus, the inventory depreciation expense is determined as $9,000.

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Answer: 1,675 Pounds

Step-by-step explanation:

335 x5 = 1,675

Answer:

5 dollars for 1 sub

Step-by-step explanation:

y2-y1/x2-x1=unit rate

20-10/4-2

10/2

5

Answer:

The balloon contains 456.3 kg of helium

Step-by-step explanation:

Density=mass / volume

Volume=2600 cubic meters of helium

Density=0.1755 kilograms per cubic meters

Mass=x

Find mass, x

Density=mass / volume

Mass=Density × volume

=0.1755 * 2600

=456.3 kg

The balloon contains 456.3 kg of helium

Answer: The length is 6.67in and the width is 6.

Answer:

C.) 8.0%

Step-by-step explanation:

8.60/7.92= 0.68

0.68/8.60=0.079 which rounds up to 0.08

0.08= 8.0%

The number of pints of flour Marcie used if she baked several of pies with 4 cups of flour is 2 pints.

Convert cups to pints:

1 cup = 0.5 pint

Multiply 0.5 by 4 to get the number of pints that is equivalent to 4 cups.

4 cups = 0.5 × 4

= 2 pints

Ultimately, 2 pints of flour is used by Marcie to bake several pies.

Complete question:

marcie baked severial of pies she use 4 cups of flower for the dough how many pitches of flower did she use.

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Rewrite as ;

\({:\implies \quad \sf (80+9)+(80+16)}\)

\({:\implies \quad \sf (80+80)+(9+16)}\)

\({:\implies \quad \sf 2(80)+(25)}\)

\({:\implies \quad \sf 160+25}\)

\({:\implies \quad \boxed{\bf 185}}\)

The rate of change of the function that has a graph that passes

through the points (-1, 3) and (-2,-4) is slope and is equal to 7.

We have given two points  (-1, 3) and (-2,-4) .

Rate of change of graph is given by slope

Using slope formula , we get

      m = -4 - 3 / -2 - (-1)

      m = -7 / -2 + 1

      m = -7 / -1

       m = 7

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Answer:

19 degrees

Explanation:

The tangent ratio is opposite/adjacent. To find the angle however you need to take the inverse so the answer will be tan^-1(17/50).

Answer:

first one

Step-by-step explanation:

The graph intersects x-axis at (4,0)  and (-3,0)

If function f has zeros at -3 and 4 then the first graph represents the function f.

When a function has zeros at -3 and 4, it means that the function's value is equal to zero at those x-values.

In other words, when x = -3 and x = 4, the function f(x) becomes 0.

To represent this on a graph, you should look for two points where the graph intersects the x-axis at -3 and 4.

When the graph crosses the x-axis at these points, it indicates that the function has zeros at those x-values.

When we observe the graphs, the first graph has zeros at -3 and 4.

Hence, the first graph could represent the function f with zeros at -3 and 4.

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The amount of drugs that will be left after 12 hours is 17.42 mg provided Sarah takes 550 mg of an antibiotic every hour.

Exponential decay can be described as a reduced amount of an original substance by a definite percentage over a period of time. It can be determined by using the formula:

\(\mathbf{y = a(1 - r)^t}\)

where;

\(\mathbf{y = 550(1 - 0.25)^{12}}\)

y = 17.42 mg

Therefore, we can conclude that the amount of drugs that will be left after 12 hours is 17.42 mg.

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