A cube has a side length x and an each dimension is being increased by y, guys. :)

A). Write an expression for the surface area of the new cube, and then expand, and simplify, guys. :)
B). Please find the difference of the surface areas of the new cube and the original cube, guys. :)

Answers

Answer 1

Surface area of old cube

6(side)²6x²

Side of new cube

x+y

Surface area

6(x+y)²6(x²+y²+2xy)6x²+6y²+12xy

Difference

6y²+12xy
Answer 2

Answer:

A)  6(x + y)² = 6x² + 12xy +6y²

B)  12xy +6y²

Step-by-step explanation:

Surface area of a cube = 6s²  (where s is the side length)

Part A

Given:

x = side length of original cube

⇒ Surface area of the original cube = 6x²

If the side length of the cube is increased by y, then:

(x + y) = side length of new cube

⇒ Surface area of the new cube = 6(x + y)²

Expand and simplify:

⇒ 6(x + y)²

⇒ 6(x + y)(x + y)

⇒ 6(x² + xy + xy + y²)

6x² + 12xy +6y²

Part B

To find the difference between the surface areas of the new and original cubes, subtract the surface area of the original cube from the surface area of the new cube:

⇒ SA of new cube - SA of original cube

⇒ 6x² + 12xy +6y² - 6x²

12xy +6y²


Related Questions

A pink crayon is made with 12\text{ mL}12 mL12, start text, space, m, L, end text of red wax for every 5\text{ mL}5 mL5, start text, space, m, L, end text of white wax. Which of the following wax mixtures will create the same shade of pink? Choose 2 answers: Choose 2 answers:

Answers

Mixtures D and E have a ratio of 5:12 and will create the same shade of pink. Options D and E are correct.

What is the difference between a ratio and a proportion?

A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.

Given data;

red wax  = 12 ml

white wax = 5 ml

A red wax: white wax = 5:12

B. red wax: white wax=4:1

C red wax white wax = 13: 6

D. red wax: white wax=12:5

E. red wax white wax=12:5

Hence, mixtures D and E have a ratio of 5:12 and will create the same shade of pink.

To learn more about the ratio, refer to the link;

https://brainly.com/question/14335762

#SPJ1

Drag each tile to the correct box.

A certain kind of bacteria multiplies at a rate of 150 percent per hour. When a person’s blood has 45,000,000 of these bacteria, the person will fall sick. Let’s suppose 100 such bacteria entered a person’s blood. How many hours will it take for the person to become sick? Arrange the steps in the right order to show how to find the number of hours it will take for the person to fall sick.

Answers

The steps arranged in the right order are:

45,000,000 = [tex]100(1 + 1.5)^{t}[/tex]

45,000,000 = [tex]100(2.5)^{t}[/tex]

450,000 = [tex](2.5)^{t}[/tex]

log 450,000 = log [tex](2.5)^{t}[/tex]

log 450,000 = log t (2.5)

[tex]\frac{log 450,000}{log 2.5} = t[/tex]

5.632 / 0.3979 = t

t = 14.21 hours

What are the correct steps?

The equation that can be used to represent the growth rate of the bacteria is an exponential equation. The form of exponential equations is:

FV = P(1 + r)^t

Where:

FV = future value of the bacteria PV = present population r = rate of increase t = number of hours

45,000,000 = 100( 2.5)^t

t = log 450,000 / log 2.5

t = 14.21 hours

To learn more about exponential equations, please check: https://brainly.com/question/26331578

#SPJ1

What is the value of f(1)?

0
1
2
4

Answers

Answer:

Solution*-1

Step-by-step explanation:

because 1 is the value of (1)

A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below: Male Female Type A 65 85 Type B 38 12 Compare P(Male or Type B) with P(Male | Type B).
P(Male or Type B) > P(Male | Type B) P(Male or Type B) = P(Male | Type B) P(Male or Type B) < P(Male | Type B) There is not enough information.

Answers

The option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have a table:

            Male      Female

Type A    65       85

Type B    38         12

Male type B =  Type B Male/Total Male

Female type B =  38/(65+38) = 12/103 = 0.11

Male or Type B= Male + Type B female/ total

= 103+12/(97+103)= 135/200 = 0.675

P(Male or Type B) > P(Male |Type B)

Thus, the option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

The interior angle of the regular pentagon below measures 108°, and the
pentagon has rotational symmetry. What is the following measure of
an interior angle after a 90° rotation around the point of symmetry?

Answers

the answer is (108) i hope it works

Consider the following graph.

Which statement best describes Cheryl's commute?

A. Cheryl accelerated to 65 mph, made a stop for 5.5 minutes, and then decelerated to 45 mph.
B. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and the decelerated to 45 mph.
C. Cheryl drove at a speed of 65 mph for 1 minute, drove at a constant speed for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes.
D. Cheryl drove at a speed of 65 mph for 1 minute, made a stop for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes

Answers

The statement best describes Cheryl's computer is option C. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and then decelerated to 45 mph.  

How to find the function which was used to make graph?

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

If we know that the function crosses the x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

Let's assume the graph of Cheryl's commute was like the one below.

We can see that she started at 0 mph.  

One minute later, she was up to 65 mph, so she had accelerated (increased her speed).

At 6.5 min (5.5 min later) her speed was still 65 mph therefore, she was driving at a constant speed.

Over the next 2.5 min, her speed dropped to 45 mph, therefore she was decelerating.

Learn more about finding the graphed function here:

https://brainly.com/question/27330212

#SPJ1

In the diagram below, line d is parallel to line c.




Which statement is true?


A

m∠1+m∠2=162∘


B

m∠1+m∠2=172∘


C

m∠1+m∠2=180∘


D

m∠1+m∠2=188∘

Answers

Answer:

85° = ∠x {corresponding angles}

∠x = ∠1 {vertically opp. angles}

And, ∠2 + 103° = 180° ( co-interior angles)

∠2 = 180° - 103°

∠2 = 77°

Now, m∠1 + m∠2 = 85° + 77°

= 162°

Hemce, option A. is the right answer.

can someone please help mee

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:Domain = [-3, 1)[/tex]

[tex]\qquad \tt \rightarrow \:Range = [-5 , 4][/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Domain = All possible values of x for which f(x) is defined

[ generally the extension of function in x - direction ]

Range = All possible values of f(x)

[ generally the extension of function in y - direction ]

[tex] \large\textsf{For the given graph : } [/tex]

[tex]\qquad \tt \rightarrow \: domain = [ -3, 1)[/tex]

[tex]\qquad \tt \rightarrow \: range= [ -5,4][/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

What is the product of (6x^2 − 8)(9x^2 – x + 1)?

Answers

[tex](6 {x}^{2} - 8)(9 {x}^{2} - x + 1) \\ 54 {x}^{4} - 6 {x}^{3} + 6 {x}^{2} - 72{x}^{2} + 8x - 8 \\ 54 {x}^{4} - 6 {x}^{3} - 66 {x}^{2} + 8x - 8[/tex]

Hope it helps

please give brainliest

There are 5 types of fruit in a basket. There are 3 apples, 2 bananas, 4 oranges, 5 kiwi,
and 1 passionfruit. You ask a friend to bring you a piece of fruit. What is the probability of them bringing you an apple?

Answers

The probability of bringing an apple is 0.20

How to determine the probability?

The distribution of the fruits is given as:

3 apples2 bananas4 oranges5 kiwi,1 passion fruit.

The probability of bringing an apple is:

P(Apple) = Apple/Total

This gives

P(Apple) = 3/(3 + 2 + 4 + 5 + 1)

Evaluate

P(Apple) = 0.20

Hence, the probability of bringing an apple is 0.20

Read more about probability at:

https://brainly.com/question/25870256

#SPJ1

Based on the graph, which statement is correct about the solution to the system of equations for lines A and B

Answers

Answer:

the answer is (3,4) is the solution to line A but not to line b

Find the inverse please tell me where to put the dots thanks

Answers

Answer:

Draw a line segment from (-7, -2) to (3, 8)

See the diagram below.

You do not have to draw the blue dashed line. It's there to show how the points reflect over.

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

Explanation:

The inverse will have us swap x and y. The point (x,y) becomes (y,x)

The endpoint (-2, -7) becomes (-7, -2)

Also (8,3) moves to (3, 8)

Visually, these points are being reflected over the line y = x to form the inverse. We only need to worry about the endpoints because 2 points is the minimum needed to form a straight line.

Check out the diagram below. The red segment is the inverse. The blue dashed line is the line y = x. You don't have to plot this line as it's just a visual tool to see what's going on. Your teacher likely will only want the red segment.

Since the original segment is parallel to y = x, the inverse is also parallel to the mirror line. All three lines are parallel.  

Find the length of side BC.
Give your answer to 3 significant figures

Answers

Answer:

[tex]\huge\boxed{\sf BC = 19.4 \ cm}[/tex]

Step-by-step explanation:

Given:

θ = 71°

Adjacent = AB = 6.3 cm

Required:

Hypotenuse = BC = ?

We will use the trigonometric ratio of cos.

[tex]\displaystyle cos \theta = \frac{Adjacent}{Hypotenuse} \\\\cos \ 71 = \frac{6.3}{BC} \\\\0.33 = \frac{6.3}{BC} \\\\BC =\frac{6.3}{0.33} \\\\\boxed{BC = 19.4 \ cm}\\\\\rule[225]{225}{2}[/tex]

FW = 6 units, X = 3 units, and Y = 5 units, what is the surface area of the figure?

Answers

The surface area of the figure is approximately: 178 units².

How to Find the Surface Area of a Figure?

The surface area of any figure is the area of all its faces.

Find the area of each face as shown below:

Area of base = w² = 6² = 36 units²

Area of the 4 rectangular faces = 4(6)(3) = 72 units²

Area of the 4 triangular faces = 4[1/2bh]

b = w = 6 units

h = √(y² + (w/2)²) = √(5² + (6/2)²) = 5.8 units

Area of the 4 triangular faces = 4[1/2(6)(5.8)] = 69.6 units²

Surface area = 36 + 72 + 69.6 ≈ 178 units²

Learn more about surface area on:

https://brainly.com/question/76387

#SPJ1

I just asked a question and this user name venus1234 deleted it for "Violating the Brainly Code" blah blah blah..............Here's the question. Points A and B are on a line with a slope that is . Point C is on the same line. Which could be the ratio of rise to run between points B and C? A. 9/12 B. 8/5 C. 14/17 D. 15/24 please hurry! :) thats all and I apparently "violated the code" I don't understand Isn't this a site for asking questions?

Answers

The ratio of rise to run between points B and C is the same as the slope of line AB

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Slope of a line = ratio of rise to run = rise / run

Hence:

The ratio of rise to run between points B and C is the same as the slope of line AB

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

What order do I put the numbers in

Answers

We have following associations:

m ∠ADC + m ∠CDB = 180° → Definition of linear pair∠ADC is supplementary to ∠CDB → Definition of supplementary angles 2 · m ∠BDC = 180° → Substitution property of equalitym ∠BDC = 90° → Division property of equality

How to complete the proof of a geometric theorem

In this question we need to fill the blanks of a given proof by understanding and taking advantage of the most important axioms and theorems of Euclidean geometry and real algebra. In this case, a linear pair is the combination of two angles whose sum equals 180°, and those angles are always supplementary.

Thus, we have following associations:

m ∠ADC + m ∠CDB = 180° → Definition of linear pair∠ADC is supplementary to ∠CDB → Definition of supplementary angles 2 · m ∠BDC = 180° → Substitution property of equalitym ∠BDC = 90° → Division property of equality

To learn more on Euclidean theorem: https://brainly.com/question/13104788

#SPJ1

The average rate of the first part of Yi’s walk on a park loop was 4 miles per hour. She then met up with a friend and the two walked the rest of the way at an average rate of 5 miles per hour. The entire 3-mile walk took Yi 42 minutes (0.7 hour). Which equation can be used to solve for x, the time in hours that Yi spent walking before meeting her friend?

A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Part 1 and has 4, x, and 4 x. The second row shows Part 2, and has, 5, 0.7 minus x, and 5 left-parenthesis 0.7 minus x right-parenthesis.

x = 0.7 – x
x + (0.7 – x) = 1
4x + 5(0.7 – x) = 1
4x + 5(0.7 – x) = 3

Answers

The equation can be used to solve for x, the time in hours that Yi spent walking before meeting her friend would be D; 4x + 5(0.7 – x) = 3.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Total distance covered = 3 miles.

The first part walked at the rate of 4 miles per hour.

Let us consider x hours was walked in the first part.

Total distance covered in x hours at the rate of 4 miles per hour will be 4x.

Now, the Second walk rate with meeting with friend will be 5 miles per hour.

The Total time is taken = 0.7 hours.

Therefore, time is taken in the second walk only = (0.7 - x) hours.

Distance covered in second walk = 5 (0.7 - x).

Total distance covered = distance covered in the first part + distance covered in the second part.

4x + 5 (0.7 - x) = 3 miles.

Hence, correct option is D; 4x + 5(0.7 – x) = 3.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ1

Answer:

its d

Step-by-step explanation:

answer?...................

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

135

Step-by-step explanation:

2x²/x + x(100 - 15x)

If x = 5 ;

2(5)²/5 + 5(100 - 15×5)

= 2×25/5 + 5(100 - 75)

= 2 × 5 + 5 × 25

= 10 + 125

= 135

If a || b and b I y then

Please help look at picture

Answers

Answer:

Abbly non of them your question is wrwon

A robot moves at a constant speed. The distance it moves and the time it spends moving are shown in this table:



10min 7km

15min 10.5km

20min 14km

Write an equation to describe the relationship between t, the time, and d, the distance.

Answers

The equation to describe the relationship between t, the time, and d, the distance is t = 1.43d

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

As we know,

time(t) = speed(s)×distance(d)

Speed is constant:

t ∝ d

t = kd

k = t/d = 10/7 = 15/10.5 = 20/14 = 1.428 ≈ 1.43

The equation is:

t = 1.43d

Thus, the equation to describe the relationship between t, the time, and d, the distance is t = 1.43d

Learn more about the proportional here:

brainly.com/question/14263719

#SPJ1

Answer:

d=0.7t

Step-by-step explanation:

the other dude is wrong

All of the details to the question are in the picture that is attached in this question, please help

Answers

Answer: 10

The arc length of the semicircle is

a+(a+1)+(a+2)+(a+3)+(a+4)=5a+10

As x = 42, this means a+4 is 42/180 of the arc length of the circle, 5a+10.

So,

(42/180)(5a+10)=a+4

42(5a+10)=180(a+4) [multiply both sides by 180]

210a+420=180a+720 [distributive property]

30a+420=720 [subtract 180a from both sides]

30a=300 [subtract 420 from both sides]

a=10 [divide both sides by 30]

he tables represent the functions f(x) and g(x). A table with 2 columns and 7 rows. The first row, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2. The second row, f(x), has the entries, negative 5, negative 3, negative 1, 1, 3, 5. A table with 2 columns and 7 rows. The first row, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2. The second row, g(x), has the entries, negative 13, negative 9, negative 5, negative 1, 3, 7. Which input value produces the same output value for the two functions?

Answers

A function assigns the values. The input value that produces the same output value for the two functions is 1.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.


For the given tables the x is the input while f(x) and g(x) are the outputs of the respective functions. Therefore, the input for which the two given functions will return the same output is 1.

Hence, the input value that produces the same output value for the two functions is 1.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1

The function f(x) = − x^2+ bx +1 is shown in the graph. What is the value of b?

Answers

Answer:

b = 4

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here ( h, k ) = (2, 5 ) , then

y = a(x - 2)² + 5

to find a substitute any point on the parabola into the equation

using (0, 1 ) then

1 = a(0 - 2)² + 5 ( subtract 5 from both sides )

- 4= a(- 2)²= 4a ( divide both sides by 4 )

- 1 = a

then

y = - ( x - 2)² + 5

   = - (x² - 4x + 4) + 5

    = - x² + 4x - 4 + 5

    = - x² + 4x + 1 ← in the form ax² + bx + c

with b = 4

Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. This relationship is modeled with distance d as a function of time t.

Which statements are true of the scenario? Select two answers..

The independent variable, the input, is the variable d, representing distance.
The distance traveled depends on the amount of time Marlene rides her bike.
The initial value of the scenario is 16 miles per hour.
The equation t = d + 16 represents the scenario.
The function f(t) = 16t represents the scenario.

Answers

A function assigns the values. The correct option is B and E.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given Marlene rides her bike at a rate of 16 miles per hour. Therefore, Marlene Speed is  16 miles/hour. Now if speed is 16 miles/hour, then time is the independent variable and distance is the dependent variable. And the speed is the slope of the function, therefore, the statements that are true of the scenario are,

The distance traveled depends on the amount of time Marlene rides her bike.

The function f(t) = 16t represents the scenario.

Hence, the correct option is B and E.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1

Answer:

B and E

Step-by-step explanation:

correct on Edge

Inventory was taken on Day 1, Day 2, Day 5, Day 6, and Day 7. Norris wants to know roughly what the inventory was on Day 3.

What should he do to estimate the inventory on Day 3?


He should use the value for Day 2 because it is closest in value to Day 3.


He should randomly pick a point near the fitted line where x=3.


He should evaluate the function f(x)=−1/3 x+4 for y=3.


He should evaluate the function f(x)=−1/3 x+4 for x=3.

Answers

Answer:

A

Step-by-step explanation:

guessing

He should evaluate the function f(x)=−1/3 x+4 for x=3  , Option D is the correct answer.

What in Interpolation ?

Interpolation is when the line of best fit is used to determine the value of a point that is within the range of plotted points.

It is given to find the value at Day 3 which lies in the range of the points used for plotting

The line for best fit is

f(x) = (-1/3)x +4

At x = 3

f(3) = (-1/3) * 3 +4

f(3) = -1+4 = 3

Therefore He should evaluate the function f(x)=−1/3 x+4 for x=3

Option D is the correct answer.

To know more about Interpolation

https://brainly.com/question/18768845

#SPJ1

How many students scored 5 marks?​

Answers

Answer:

9

Step-by-step explanation:

2 + 1 + 4 + 3 + 5 + 7 + 4 + 2 + 2 + 1 + x = 40

x = 40 - (2 + 1 + 4 + 3 + 5 + 7 + 4 + 2 + 2 + 1)

x = 40 - (3 + 7 + 12 + 6 + 3)

x = 40 - (10 + 18 + 3)

x = 40 - 31

x = 9

can someone please help mee(20 points and i will give brainliest!!!)

Answers

The vertex is the lowest/highest point, depending on if the parabola opens upwards or downwards.

So because the vertex opens upwards, we are looking for the lowest point which is at (2,-3).

A carpenter started with a board that was 31 inches long. he cut 2 pieces that were each 3 inches long. he then cut 3 pieces that were each

Answers

Answer:

i don't know

Step-by-step explanation:

i

the number of people with one type of flu doubles every day for several days what type of function represents this pattern

Answers

Answer:

The answer will be Exponential growth.

Please mark me as the brainliest.

Answer:

exponential growth

Step-by-step explanation:

The function f(x) is shown on the graph.
-181x
15
12-
Hr)
-9-
6-
3-
-3
T
3
9
12-
10
18+
If f(x) = 0, what is x?
O 0 only
O -6 only
O-2, 1, or 3 only
O-6, -2, 1, or 3 only

Answers

Answer: -6

Step-by-step explanation:

Other Questions
What is the absolute value of -6 ? Potential output is not purely a physical measure based on the number of workers and existing factories because: Confucianism, Yin and Yang, and astronomical theories are included in the architecture of the Forbidden City? Hassan used the iterative process to locate StartRoot 0.15 EndRoot on the number line.A number line going from 0 to 0.9 in increments of 0.1. A point is between 0.4 and 0.5.Which best describes Hassans estimation?Hassan is correct because StartRoot 0.15 EndRoot almost-equals 0.4Hassan is correct because the point is on the middle of the number line.Hassan is incorrect because StartRoot 0.15 EndRoot is less than 0.4. Hassan is incorrect because the point should be located between 0.1 and 0.2 Assume that t varies jointly as r and q2. If t=320 when r=5 and q = 4, what is the value of q when r= 1 and t= 196?q= Why were the Mongols able to conquer so much territory? Which player in the economy supplies labor in the factor market?a. Governmentb. Householdsc. Business firms d. Rest of the world What is the solution to the equation below? (Round your answer to twodecimal places.)7Inx=2.4A. x=99.48B. x = 18.48C. x=1.41D. x= 1.9 How much of an alloy that is 30% copper should be mixed with 200 ounce of an alloy that is 70% copper in order to get an alloy that is 40% copper? Fully simplify.15x(4)y(4)(-5xy(5)) The __________cranial fossa ranges from the posterior edge of the lesser wings of the sphenoid bone (anteriorly) to the anterior region of the petrous part of the temporal bone (posteriorly). It houses the temporal lobes of the brain and the pituitary gland. a. The Gap purchased inventories totaling $10,392 million for the fiscal year ended February 2, 2019. Use the financial statement effects template to record cost of goods sold for The Gap's fiscal year ended February 2, 2019. (Assume accounts payable is used only for recording purchases of inventories and all inventories are purchased on credit.)b. What amount did the company pay to suppliers during the year? Record this with the financial statement effects template.I'm not sure how to show these amounts on the financial statement effects template. The term , often used in conjunction with absolute advantage, is defined as making the best use of resources. . What characteristics of this Royal Pedigree fit with the expectations for an X-linked, recessive disorder? The quotient of 8.4 times 10 Superscript 9 and a number n results in 5.6 times 10 Superscript 27. What is the value of n? Circle O has a circumference of approximately 44 in.----dOMark this and returnWhat is the approximate length of the diameter, d?O 7 in.O 14 in.O 22 in.O44 in.Save and ExitxtSubmit Polyuria, polyphagia, polydipsia, weight loss , and fatigue are the principal signs and symptoms of which condition Your opening a small toy store. Identify three decision about inventory you would need to buy in your first year of operation. What type of information, if any would you want or need to have available in you accounting information system to help you make each of those decisions? Which describes one way that renewable resources differ from nonrenewable resources? renewable resources make cleaner energy. it takes longer to replenish renewable resources. renewable resources are more easily located and harvested. pollution levels increase with the use of renewable resources. Dalton law states that the partial pressure of a gas in a mixture of gases is _____ to the total pressure of the mixture.