I need to know if this is a function, if it is why is it a function. If not why is it not a function

To solve this problem, we need to use Charles's law, which states that, at constant pressure, the volume of a sample of gas is directly proportional to its temperature.

The law can be expressed mathematically as:

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{ \frac{V_1}{T_1}=\frac{V_2}{T_2} } \end{gathered}$} }\)

Where:

Now we obtain the data to continue solving:

Now, we will convert the temperatures to Kelvin:

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{T_1=220 \ ^{\circ}C+273=493 \ Kelvin} \end{gathered}$} }\)

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{T_2=40 \ ^{\circ}C+273= 313 \ Kelvin} \end{gathered}$} }\)

Now we solve for V₂:

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V_2=\frac{V_1T_2}{T_1 } } \end{gathered}$} }\)

Where:

Now, we substitute the values in the formula:

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V_2=\frac{(0.5 \ L\times313\not{k} )}{493\not{k} } } \end{gathered}$} }\)

\(\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V_2\approx0.32 \ Liters } \end{gathered}$} }}\)

Answer:

Area= 50.24

Step-by-step explanation:

Radius is half of the Diameter. 8/2= 4

r=4

3.14*4^2

3.14*16=50.24

Answer:

option 4

Step-by-step explanation:

the total interior angle of a triangle adds up to 180º. you're given it's a right triangle (90º) and the angle B, 21º. Add those up and you get 111º. 180º-111º=69º, angle C.

Answer:

C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.

Step-by-step explanation:

Volume=576π cubic centimeters

Radius=8 cm

h=?

Her work:

Volume of a cyclinder=πr^2h

Step 1:

576π= π8^2h

Step 2:

576π = 64πh

Step 3:

576π / 64π = 64πh / 64π

Step 4:

h=9π cm

Correct workings:

Step 1:

576π= π8^2h

Step 2:

576π = 64πh

Step 3:

576π / 64π = 64πh / 64π

Step 4:

h= 9 centimeters

Her error is in step 4

C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.

Answer:

the error was made in step 4,  should have also been cancelled making the correct answer as 9 cm.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°

The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.

Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.

Now, for the transverse line theorem we can say that:

Angle 1 will be composed of two angles namely:

48 degrees and (180 - 153) degrees.

Thus:

m∠1 = 48° + 27°

m∠1 = 75°

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Answer:

9.375

Step-by-step explanation:

Answer:

Minimum=60

First Quartile(Q1)=79

Median=86

Third Quartile (Q3)=89

Interquartile range (IQR)=10

The inequality represents all possible combinations of x roses and y carnations is 3x+2y≤30.

Different types of inequalities can be represented by a number of different notations. A relationship between two expressions or values that is not equal in mathematics is referred to as an inequality. To correct an inequality, take the following actions: Prior to subtracting any fractions, multiply each phrase by the sum of the least common denominators of all the fractions. Step 2: To make the inequality simpler, combine related terms on both sides. Step 3: To calculate the value of the unknown, subtract or add the amounts from the numbers on either side.

The cost of each rose flower is $3

The cost of each carnation is $2

The cost for x roses will be 3x$

The cost for y carnations will be 2y$

The overall cost must be less than or equal to $30

Therefore, 3x+2y≤30.

Hence, the inequality represents all possible combinations of x roses and y carnations is 3x+2y≤30.

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The perimeter of the figure is 4(π + 9)ft.

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

Given is a 2 - D figure as shown in the figure attached.

We can write the perimeter as -

P = P{rectangle} + P{semicircle}

P = 2(10 + 8) + (4π)

P =  (4π) + (36)

P = 4(π + 9)

Therefore, the perimeter of the figure is 4(π + 9)ft.

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Answer:

Step-by-step explanation:

Using the digits 8,4,7,2,9 and 0 to write a whole Number with 7 in the thousands place and 2 in the tens place :

The whole number is 6 digits long

100 thousand

10 thousand

Thousand = 7

Hundred

Tens = 2

Unit

Also the whole number is less than 500,000

Hence, number in the 100 thousand place is less Than 5,

Hence digit in the 100 thousand place = 4

Placing either 8 or 9 in the ten thousand place will mean That Josh's whole number is greater than 480,000

Answer:

slope = -1/2

Y-intercept = (0,2)

Step-by-step explanation:

Answer:

ummmmm so It give me 54

Step-by-step explanation:

\(9 \times 6 = 54\)

The correct answer is 54.

9 x 1 = 9

9 x 2 = 18

9 x 3 = 27

9 x 4 = 36

9 x 5 = 45

9 x 6 = 54.

Therefore, 9 x 6 = 54.

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The p-value for this test is 0.0124. We can interpret this as strong evidence against the null hypothesis

In statistics, a null hypothesis is a statement that suggests there is no significant difference between two measured phenomena. It is usually represented by "H0" and is a starting point for a statistical analysis.

The probability of generating a test statistic as severe as -2.246 or more extreme, provided the null hypothesis is true, must be calculated in order to arrive at the p-value. Since this is a left-tailed test, the area in the left tail of the standard normal distribution represents the p-value.

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Answer:

B. -3x

Step-by-step explanation:

A term is defined as either a constant or a variable with a coefficient.

-3 is incorrect because there is no constant -3 in the expression.

-3x is correct because there is a -3x in the expression

(x + 4) is incorrect because that is a linear binomial and has yet to be distributed.

-7 is incorrect because it has to be distributed.

Therefore, Frank has 54 baseball cards and 9 hockey cards.

In mathematics, an equation is a statement that asserts the equality of two expressions. It consists of two sides, left-hand side (LHS) and right-hand side (RHS), separated by an equals sign (=). The expressions on either side of the equals sign can contain numbers, variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. The goal of solving an equation is to find the value(s) of the variable(s) that make the equation true.

Here,

Let's use algebra to solve the problem.

Let B be the number of baseball cards that Frank has, and let H be the number of hockey cards that he has. Then we have two equations:

B + H = 63 (the total number of cards is 63)

3B - 4H = 126 (three times the number of baseball cards minus four times the number of hockey cards is 126)

We can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for H:

H = 63 - B

Substitute this expression for H in the second equation:

3B - 4(63 - B) = 126

Simplify and solve for B:

3B - 252 + 4B = 126

7B = 378

B = 54

Now we can use either of the two equations to solve for H. Let's use the first one:

B + H = 63

54 + H = 63

H = 9

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Answer:

width = 4in

length = 8in

Step-by-step explanation:

A = LxW = 32

L = W + 4

W(W+4) = 32

W² + 4W - 32 = 0

(W + 8)(W - 4) = 0

W ≠ -8 (dimensions cannot be negative)

W = 4in

L = W+4 = 4+4 = 8in

Answer:

50 in

Step-by-step explanation:

(1)

\(area \: of \: the \: whole \: circle \: = \pi {r}^{2} \)

= 22 × 5 ×5

7

= 78.57

(2)

\(area \: of \: the \: unshaded \: circle \: = \pi {r}^{2} \)

= 22 × 3 ×3

7

= 28.28

(1) - (2) = Area of shaded circle

= 78.57 - 28.28

= 50.29

Answer:

b

Step-by-step explanation:

Answer:

D. All of this information is needed to solve the problem

Thank you

The domain in interval notation is [-1, 3].

The domain in compound inequality is -1 ≤ x < 3.

The range in interval notation is [-5, 3].

The range in compound inequality is -5 < y ≤ 3.

In Mathematics, a domain is the set of all real numbers for which a particular function is defined.

Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-1, 3] or -1 ≤ x < 3.

Range = [-5, 3] or -5 < y ≤ 3.

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Answer:

walk = 9/30 -  bike = 3/30 - car = 6/30 - bus = 12/30

Step-by-step explanation:

Answer:

Step-by-step explanation:

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

(1) 1 shows the rapid increase of people per unit time as it goes to ,2 the number started increasing at a low parse.

(2)The rapid decrease of people per unit time.

(3) 5 and 7 represent the constant number of people at that given time.

(4) The decrease of people

Answer:

7x+10

Step-by-step explanation:

2x(3x)+1x(x+10)

6x+1x+10

7x+10

Answer:

The final price of the television set is $ 20,520.

Step-by-step explanation:

Given that King Monatla surprised his wife on birthday by buying her a 55 inch television set, and the repayment period is 36 months and the monthly installment is $ 570.00, to determine the final price of the television set the following calculation must be performed:

570 x 36 = X

20.520 = X

Therefore, the final price of the television set is $ 20,520.

Answer:

$96.35

Step-by-step explanation:

31.45 x 2 = 62.90

62.90 + 18.50 + 14.95 = $96.35

The transformations that take triangle ABC to triangle A'B'C' are given as follows:

Transformations on the graph of a function are classified according to these items given as follows.

In the context of this problem, the changes caused by these transformations are especially important.

For this problem, we have that the orientation of the triangle changed, thus it underwent a reflection. The line of reflection is y = B, as B was the bottom vertex of ABC and now it is at the top of A'B'C'.

With only the reflection, B and B' would have the same position. However, A'B'C' is above and to the right of the line of reflection, hence a translation up and right was also used.

The inclination and the side lengths remain the same, hence there were no rotations or dilation.

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The solution for the given system of equations is (-2, -2).

What is addition method?

Using the Addition Method to Solve Systems of Equations in Two Variables. The addition method, also known as the elimination method, is a third strategy for resolving linear equation systems. With this approach, we add two terms that share the same variable but have opposing coefficients, resulting in a sum of zero.

Given:

The system of equations,

3x + 7y = -20          ..(1)

-3x + 6y = -6            ..(2)

We have to solve this system of equations using addition method.

Adding equation (1) and (2)

      3x + 7y = -20

 +  -3x + 6y = -6

__________________

       0 + 13y = -26

13y = -26

  y = -2

Plug y = 2 in equation (1), we get

3x + 7(-2) = -20

3x - 14 = -20

3x = -20 + 14

3x = -6

x = -2

Hence, the solution for the given system of equations is (-2, -2).

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