Complete the equation of the line through (3, -1) and (4, 7)​

Answers

Answer 1

Answer:

  y = 8x -25

Step-by-step explanation:

The two-point form of the equation of a line can be used.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (7-(-1))/(4-3)(x -3) +(-1)

  y = 8(x -3) -1

  y = 8x -25 . . . . slope-intercept form of the equation

_____

We don't know what you're starting with, so we don't know how to "complete the equation." Perhaps the above equation is sufficient for the task.


Related Questions

a machine can produce 6 yards of fabric in 2 minutes. how much fabric can the machine produce in 7 days? ​

Answers

Answer:

30,240 yards

Step-by-step explanation:

6*30 in an hour

6*30*24 in a day

6*30*24*7 in a week, solve for 30240

Instead I got 60,480

what of the following is not a characteristic of all parallelograms diagonals bisect each other be opposite angles are congruent C diagonals are angle bisectors deep is the sides are congruent​

Answers

Final answer:

The correct option that is not a characteristic of all parallelograms is C, 'diagonals are angle bisectors,' as it does not apply to every parallelogram, unlike the other options listed.

Explanation:

The question is related to the properties of parallelograms, and specifically, it asks which option is not a characteristic of all parallelograms. To answer this, we must review the properties of parallelograms:

Diagonals bisect each other.Opposite angles are congruent.The sides are parallel, but not necessarily congruent.

Option A (Diagonals bisect each other) and Option B (Opposite angles are congruent) are indeed true characteristics of parallelograms. However, diagonals being angle bisectors is not a general characteristic of all parallelograms, making it incorrect for Option C. Finally, Option D (The sides are congruent) describes a property specific to a rectangle or a rhombus rather than all parallelograms. Thus the correct answer is C, diagonals are angle bisectors, as it is not a defining feature for all parallelograms. Parallelograms have diverse shapes like rectangles, squares, and rhombi, and this property doesn't apply universally.

The bodega offers two deals on chicken nuggets. In deal #1 you can buy 5 chicken nuggets for $7.50. In deal #2 you can buy 8 chicken nuggets for $10.00. In which deal is each chicken nugget cheaper.

Answers

Answer:

The 2nd deal is better

Step-by-step explanation:

First you divide the chicken nuggets by the price and then find how much one chicken nugget costs. In this case $10 divided by 8 is $1.25 while $7.50 divided by 5 is $1.50. The first deal costs more for one chicken nugget so deal 2 is better

Answer:

deal 2 is better the chicken nuggets are cheaper and you could have more chicken nuggets even though it cost more then deal 1, 1 chicken nugget is cheaper in deal 2 than it is in deal 1 so I think you should go for deal 2 Hope I Helped :)

Step-by-step explanation:

A jar contains n nickels and d dimes. There are 24 coins in the jar, and the total value of the coins is $1.90. How many nickels and how many dimes are in the jar?

Answers

Answer:14 dimes 10 nickels

Step-by-step explanation:

24 coins total

14 X.10 = 1.40

10 x .05 = .50

1.40 + .50 = 1.90

Sandy is upgrading her Internet service. Fast Internet charges $45 for installation and $49.45 per month.
Quick Internet has free installation but charges $56.95 per month.
Part 1 out of 2
Complete the equation that can be used to find the number of months after which the Internet service
would cost the same. Use the variable x to represent the number of months of Internet service purchased.
The equation is
___+___=___

Answers

Answer:

x = 6 months.

The equation is given by $45 + ($49.45 × x) = ($56.95 × x).

Step-by-step explanation:

i) Let x be the number of months of Internet Service purchased till the Fast

  Internet charges and Quick Internet charges become the same.

ii) Charges for Fast Internet for x months is given by $45 + ($49.45 × x)

iii) Charges for Quick Internet for x months is given by ($56.95 × x)

iv) According to the first statement we will now equate the equations in ii)  

   and iii) and solve for x.

   Therefore, $45 + ($49.45 × x) = ($56.95 × x)

                      45 + 49.45 x  =  56.95 x

  Therefore  (56.95 - 49.45) x = 45

                    7.50 × x  =  45

  Therefore x = 45 ÷  7.5 = 6

Suppose that a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 60%. Which of these groups of numbers could represent a success?
A. 0, 1, 2, 3, 4, 5, 6
B. 0, 1, 2, 3, 4, 5, 6, 7
C. 0, 1, 2, 3, 4, 5, 6, 7, 8
D. 0, 1, 2, 3, 4, 5

Answers

Answer:

.0,1,2,3,4,5,6,7,8

The group which represents a success is D. 0, 1, 2, 3, 4, 5.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 60%.

Total outcomes which are numbers from 0 to 9 = 10

If the probability of success is 60%,

P(success) = 60/100 = 6/10

That is, 6 numbers out of 10 are the outcomes which leads to success.

The correct option is D. 0, 1, 2, 3, 4, 5, which is the only option containing 6 numbers.

Hence the correct option is D.

Learn more about Probability here :

https://brainly.com/question/30034780

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Solve
A = P + PrT for A, given that P = $950,r = 3 1/2%, and t = 10 years.

Answers

Answer:

10 days the balance is $1,000, but then the balance drops to $950.

Step-by-step explanation:

For the first 10 days the balance is $1,000, but then the balance drops to $950.

Find the value of k so that the point A lies on the line given by equation.

A(2, 2), kx+(k+1)y=2

Answers

Answer:

k = 0

Step-by-step explanation:

Explanation:-

given straight line equation is k x+(k+1)y=2......(1)

The point A(2,2) lies on the equation is

substitute x = 2 and y=2

k(2) + (k+1)(2) =2

now simplify 2 k+2 k+2 = 2

subtracting '2' on both sides , we get solution is

4 k +2 -2 = 2-2

4 k =0

k = 0

Answer:

k = 0

Step-by-step explanation:

kx + (k + 1)y = 2

2k + 2(k + 1) = 2

2k + 2k + 2 = 2

4k + 2 = 2

4k + 2 - 2 = 2 - 2

4k = 0

4k ÷ 4 = 0 ÷ 4

k = 0

Is the following shape a parallelogram? If so, which condition proves it ?
A. Both pairs of opposite sides are parallel ( definition )
B. One pair of opposite sides are parallel and congruent
C. Both pairs of opposite sides are congruent
D. Both pairs of opposite angles are congruent
E. One angle is supplementary of both sides of its consecutive angles
F. The diagonals bisects each other

Answers

Answer:

B and F

Step-by-step explanation:

Option A is false, there is no information whether opposite sides are parallel.

Option B is true because of following parallelogram theorem.

Parallelogram theorem: If a quadrilateral has one set of opposite sides which are both congruent and parallel, then it is a parallelogram.

Option C is false, there is no information about any angles.

Option D is false, there is no information about any angles.

Option E is false, there is no information about any angles.

Option F is true because of following parallelogram theorem.

Parallelogram theorem:  If a quadrilateral has diagonals which bisect each other, then it is a parallelogram.

How do use distributive property for -2.5(4x-8)+1.2(5x-1)

Answers

Answer:

Step-by-step explanation:

How to complete a square

Answers

Answer: Step 1. Divide all terms by a (the coefficient of x2).

Step 2. Move the number term (c/a) to the right side of the equation.

Step 3. Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

Step-by-step explanation:

need help! extra points.
Which two angles are alternate interior angles?

Answers

Answer:

3 and 2

7 and 6

are the alternate interior angles.

PLEASE HELP ME

Describe the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z”.

Answers

Answer:

the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z” are

i) reflect the the triangle about the x- axis.

ii) shift the result of i) by 1 upwards

iii) shift the result of ii) by 5 to the left

Step-by-step explanation:

the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z” are

i) reflect the the triangle about the x- axis.

ii) shift the result of i) by 1 upwards

iii) shift the result of ii) by 5 to the left

Which descriptions can describe more than one triangle? Select two options.
side lengths of 6 ft, 8 ft, and 10 ft
angle measurements of 35, 35, and 110°
angle measurements of 30°, 40, and 50°
angle measurements of 40°, 60°, and 80°
side lengths of 4 cm, 6 cm, and 9 cm

Answers

Answer:

angle measurements of 35, 35, and 110°

angle measurements of 40°, 60°, and 80°

Step-by-step explanation:

we know that

The length sides of a triangle must satisfy the Triangle Inequality Theorem and the sum of their interior angles must be equal to 180 degrees

Remember that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

That means, I can have more than one triangle with the same internal angles

so

Verify each description

case 1) side lengths of 6 ft, 8 ft, and 10 ft

Remember that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

Applying the triangle inequality theorem

1) 6+8 > 10 ---> is true

2) 6+10 > 8 ---> is true

3) 8+10 > 6 ---> is true

therefore

The description describe only one triangle

case 2) angle measurements of 35, 35, and 110°

The sum of the interior angles is equal to 180 degrees

therefore

The description can describe more than one triangle, by similar triangles

case 3) angle measurements of 30°, 40, and 50°

The sum of the interior angles is not 180 degrees

therefore

The description is not a triangle

case 4) angle measurements of 40°, 60°, and 80°

The sum of the interior angles is equal to 180 degrees

therefore

The description can describe more than one triangle, by similar triangles

case 5) side lengths of 4 cm, 6 cm, and 9 cm

Remember that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

Applying the triangle inequality theorem

1) 4+6 > 9 ---> is true

2) 4+9 > 6 ---> is true

3) 6+9 > 4 ---> is true

therefore

The description describe only one triangle

Answer:

Angle measurements of 35, 35, and 110°

Angle measurements of 40°, 60°, and 80°

Step-by-step explanation:

took a test got the answer correct

how to solve u/5+3=1

Answers

First subtract 3: u/5 = -2

Now, because u is divided by 5, we can multiply by 5 to get u on its own.

u = -10

To check, -10/5 + 3 = 1

-2 + 3 = 1

1 = 1

This leaves us with a true statement, so the answer is correct.

A triangle has an angle that measures 110°. The other two angles are in a ratio of 2:5. What are the measures of those two angles?

Answers

Answer:

20 and 50

Step-by-step explanation:

the angles of a triangle add up to 180 degrees.

so if 1 angle is 110, then the other two angles combined, add up to (180 - 110) = 70.

the other two angles are in a ratio of 2:5....added = 7

meaning 1 angle is 2/7 of total measure and the other angle is 5/7 of the measure

so one angle is : 2/7 of 70 = 2/7 * 70 = 140/7 = 20 <==

and the other one is 5/7 of 70 = 5/7 * 70 = 350/7 = 50 <==

180-110 =70
2:5= 2+5=7
70 ÷ 7 = 10
2 x 10 =20
5 x 10 = 50
Angles = 20:50

A cylinder has volume 78 cm3 . What is the volume of a cone with the same radius and height? A 26 cm3 B 39 cm3 C 156 cm3 D 234 cm3

Answers

Answer:

Option A - [tex]26 \mathrm{cm}^{3}[/tex]

Step-by-step explanation:

Given: The volume of a cylinder = [tex]78 \mathrm{cm}^{3}[/tex]

Let us substitute the volume of cylinder in the formula.

The formula for volume of a cone is [tex]V=\frac{\pi r^{2} h}{3}[/tex]                    (1)

The formula for volume of a cylinder is [tex]V=\pi r^{2} h[/tex]              (2)

Substituting [tex]V=78[/tex] in equation (2), we get,

[tex]\begin{array}{c}{V=\pi r^{2} h} \\{78=\pi r^{2} h}\end{array}[/tex]

Given that the cone has the same radius and height of that of the cylinder, let us substitute [tex]78=\pi r^{2} h[/tex] in equation (1)

[tex]\begin{array}{l}{V=\frac{\pi r^{2} h}{3}} \\{V=\frac{78}{3}} \\{V=26}\end{array}[/tex]

Thus, the volume of a cone with the same radius and height of a cylinder is [tex]26 \mathrm{cm}^{3}[/tex].

The volume of the cone is 26 cubic centimeters.

A cylinder has a volume of [tex]78 \;\rm{cm}^3[/tex].

We need to determine the volume of a cone with the same dimensions compared to a cylinder.

Now,

The formula for finding the volume of the cylinder is [tex]\pi r^2h[/tex].

The formula for finding the volume of the cone is [tex]\dfrac{1}{3}\pi r^2h[/tex].

Therefore, the volume of the cylinder is thrice the volume of the cone if we consider the same dimensions.

Thus,

[tex]\begin{aligned} 3 \times \rm{volume\;of\;the\;cone}&=78\;\rm{cm^3}\\&=26\;\rm{cm^3} \end{aligned}[/tex]

Hence, the volume of the cone is 26 cubic centimeters.

To know more about the cone, please refer to the link:

https://brainly.com/question/10670510

At a certain company, Joe sells 25% of the products, Cindy sells 40% of the products, and Jamie sells 35% of the
products. Which of the following graphs represents the sales of this company?

Answers

The graph that represents the sale of the company is the first graph as shown attached.

In the first pie chart, each salesperson's contribution is clearly depicted as a segment of the whole pie. Joe's 25%, Cindy's 40%, and Jamie's 35% are visually represented.

Pie charts are good for showing how much of something each person sells. They help us see who sells more without needing to do hard math.

With pie charts, it's easy to understand who sells the most just by looking at the colors and sizes of the slices. They make it simple to compare how much each person sells without having to do any fancy calculations.

In 2004, about $38 out of every $100 spent on advertising was spent on television advertising. The amount spent on radio advertising was about 21% as much as was spent on television advertising. How much of every $100 spent on advertising was spent on radio advertising?

Answers

Answer:

$8

Step-by-step explanation:

Given: Television advertising= $38 out of every $100 spent on advertising.

           Radio advertising= 21% as much as was spent on television ads.

As given there are $38 spent on television ads on every $100 of advertising.

∴ Amount spent on television ads= [tex]\frac{38}{100}[/tex]

Now, finding amount spent on radio advertising on every $100 spent on advertising.

We know, The amount spent on radio advertising was about 21% as much as was spent on television advertising.

∴ Amount spent on radio advertising= [tex]\frac{38}{100} \times \frac{21}{100}[/tex]

⇒ Amount spent on radio advertising= [tex]\$ 0.0798[/tex]

To know the amount spent on radio advertising on every $100 spending on advertising.

Amount spent on Radio advertising on every $100 spending= [tex]0.0798\times 100= \$ 7.98 \approx \$ 8[/tex]

Hence, $8 spent on radio advertising on every $100 spending.

About $7.98 out of every $100 spent on advertising was allocated to radio advertising, based on the information that $38 out of every $100 was used for television advertising and radio advertising accounted for 21% of the television advertising amount.

In 2004, about $38 out of every $100 spent on advertising was spent on television advertising. To find out how much of every $100 was spent on radio advertising, which was about 21% as much as was spent on television advertising, we apply the following calculation:

Amount spent on radio advertising = Television advertising amount × (Radio advertising percentage / 100)

Amount spent on radio advertising = $38 × (21 / 100)

Amount spent on radio advertising = $7.98

Therefore, $7.98 out of every $100 spent on advertising was spent on radio advertising.

Show work please I don’t understand it.

Answers

Answer:

2<6

Step-by-step explanation:

2(n+3)-4

(2n + 6)-4

2n + 2

--------(both can be divided by 2)

2      2

n=2

2<6

the second line the the last  i believe im not so sure about the graphing but i hope starting you off with 2<6 helps

Riley drink 4/5 quart of iced tea and her friend drink 0 3/10 quart how much more of a quart of iced tea did Riley drink than her friend

Answers

Answer:

[tex]\frac{1}{2}[/tex] quart

Step-by-step explanation:

Given:

Riley drink 4/5 quart of iced tea

And her friend drink 0 3/10 quart of iced tea

Question asked:

how much more of a quart of iced tea did Riley drink than her friend = ?

Solution:

Riley drank of iced tea = [tex]\frac{4}{5}[/tex]

Her friend drank of iced tea = [tex]0\frac{3}{10}[/tex]

                                                = [tex]\frac{3}{10}[/tex]

We will subtract the share of her friend from Riley's share

Riley drank more than her friend =[tex]\frac{4}{5} - \frac{3}{10}[/tex]  

                                                     = [tex]\frac{5}{10}[/tex]

                                                     =    [tex]\frac{1}{2}[/tex]

Thus, Riley drank [tex]\frac{1}{2}[/tex]  quart more than her friend.

Final answer:

Riley drank 1/2 quart more iced tea than her friend, which is the difference between 4/5 quart and 3/10 quart.

Explanation:

The question asks how much more of a quart of iced tea did Riley drink than her friend. Riley drank 4/5 quart and her friend drank 3/10 quart. To find out the difference, we subtract the smaller amount from the larger amount:

4/5 quart - 3/10 quart = 8/10 quart - 3/10 quart = 5/10 quart or 1/2 quart.

Therefore, Riley drank 1/2 quart more iced tea than her friend.

hiro thinks -5 = -5 is hiro thinking correct

Answers

Yes because -5 does equal -5

In circle A, ZBAE = ZDAE.
What is the length of BE?
O
O
14 units
17 units
27 units
34 units
V
3x-24

Answers

Incomplete question the complete question with the diagram is given below.

Answer:

The Correct option is second one 17 units.

Therefore the Length of BE is 17 units.

Step-by-step explanation:

Given:

∠BAE = ∠DAE

BE = 3x - 24

DE = x + 10

To Find :

Length of BE = ?

Solution:

∠BAE = ∠DAE        .........Given:

As Chords that subtend congruent angles are congruent. That is equal angles subtends equal chords.

So , the chord BE and DE are equal

Substituting the values we get

[tex]BE=DE\\3x-24=x+10\\2x=34\\\\x=\dfrac{34}{2}=17\\\\x=17\ units[/tex]

Therefore the Length of BE is 17 units.

Answer:

Answer is C

Step-by-step explanation:

edge 2021

9.360 seconds= How many hours?

Answers

Answer:

0.0026 mark brainliest

Step-by-step explanation:

Answer:

2.6 hours

Step-by-step explanation:

9360 second divide by 60 to get minutes

156 minutes divided by 60 to get hours

2.6 hours

hELP ! I NEED ANSWER QUICK PLS HELP
Write as a product of two polynomials.
x(y–5)–y(5–y)

Answers

Final answer:

The expression x(y-5) - y(5-y) can be rearranged and factored into (y - 5)(x + y), which is the expression written as a product of two polynomials.

Explanation:

To write the expression x(y-5) - y(5-y) as a product of two polynomials, we first distribute the variables across each term:

x(y-5) = xy - 5x

-y(5-y) = -5y + y²

Now, combining like terms:

xy - 5x - 5y + y²

This expression can't be factored as is, since it cannot be represented by the product of two simpler polynomials with real coefficients. However, we can rearrange the terms:

(xy - 5y) + (y² - 5x) = y(x - 5) + y(y - 5)

Here we can see a common factor of (y-5):

(y - 5)(x + y)

This is the expression written as a product of two polynomials.

Tavon has a gift card for $ 155 that loses $ 3.50 for each​ 30-day period it is not used. He has another gift card for $ 135 that loses $ 3 for each​ 30-day period it is not used.
a. Write and solve an equation for the number of​ 30-day periods until the value of the gift cards will be equal.
b. What will the value of each card be when they have equal​ value?

Answers

Answer:

A) 40

B) $ 15

Step-by-step explanation:

A)An equation for the number of​ 30-day periods until the value of the gift cards will be equal

Let x be the number of time periods for which the gift card is not used, then

For the gift card $ 155 if it is not used for x periods, then the amount that will be lost is

155 - 3.50 x---------------------(1)

For the gift card $ 135 if it is not used for x periods, then the amount that will be lost is

135 - 3x---------------------- (2)

Now when both the amount lost is equal

[tex]155 - 3.50x = 135 - 3x[/tex]

solving the equation, we get

[tex]155 -135 = -3x + 3.50x[/tex]

20 =  0.5x

[tex]x = \frac{20}{0.5}[/tex]

x = 40

Thus the value of gift cards will be equal for 40 ,30 day periods.

B)The value of each card be when they have equal​ value

The two cards  will have equal value after 40 30 day periods, this denotes that at this time, the value of each card will be equal.

Then

[tex]155 - 3.50x = 135 - 3x[/tex]

substituting  x = 40, we get

[tex]155 - 3.50(40)= 135 - 3(40)[/tex]

[tex]155 - 140= 135 - 120[/tex]

[tex]15 =15[/tex]

when they have equal​ value, the value of each card will be $15

whats the square root of 64

Answers

Answer:

The square root of 64 is 8.   8*8=64

Hope this helps,  

:)

Can someone explain how to do this page I wasn't there when my teacher explained it

Answers

Answer:

You have to solve for the letter

Step-by-step explanation:

For example, Q5 is 40 - 5n = -2.

You subtract 40 from -2 and get -42 then you have 5n = -42.You divide 5 to -42 so [tex]\frac{-42}{5}[/tex].The answer is -8.4.

*Use a calculator if necessary.*

~Hope this is helps (.^.)~

The surface area of a tabletop is 5760 square inches. Which expression shows this number in scirntific notation?

Answers

Answer:

Scientific notation = 5.76 x 10³ square inches

Step-by-step explanation:

Standard notation = 5,760 square inches

Scientific notation = 5.76 x 10³ square inches

PLEASE HELP ME

Describe the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z”.

Answers

Answer:

The sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.

Explanation:

By inspection (watching the figure), you can tell that to transform the triangle XY onto triangle X"Y"Z", you must slide the former 5 units to the left, 1 unit down, and, finally, reflect it across the x-axys.

You can check that analitically

Departing from the triangle: XYZ

Translation 5 units to the left: (x,y) → (x - 5, y)

Vertex X: (-6,2) → (-6 - 5, 2) = (-11,2)Vertex Y: (-4, 7) → (-4 - 5, 7) = (-9,7)Vertex Z: (-2, 2) → (-2 -5, 2) = (-7, 2)

Translation 1 unit down: (x,y) → (x, y-1)

(-11,2) → (-11, 2 - 1) = (-11, 1)(-9,7) → (-9, 7 - 1) = (-9, 6)(-7, 2) → (-7, 2 - 1) = (-7, 1)

Reflextion accross the x-axis: (x,y) → (x, -y)

(-11, 1) → (-11, -1), which are the coordinates of vertex X"(-9, 6) → (-9, -6), which are the coordinates of vertex Y""(-7, 1) → (-7, -1), which are the coordinates of vertex Z"

Thus, in conclusion, it is proved that the sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.

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The southern transition to black slave labor in the last quarter of the seventeenth century might be explained by the ___. PLZZZZZ HELP!!!! What idea, achievement, or life event is associated with Aristotle? condemned to death by poison tutored Alexander the Great thought philosopher-kings should run the government What is the equation of a line with a slope of -2 that passes through thepoint, (-2, 12)?O A. y = 4x-2O B. y = -2x+6O C. y = -2x+8O D. y=-2x+4SUBMIT Why is it important for citizens in a democracy to have more than one way to participate in government and politics?OA.many ways to participate means many opportunities for one's voice to be heardB. many ways to participate means fewer opportunities for the authorities to cut off debateC. both "a" and "b"D. neither "a" nor "6"ResetNext The molecular shape of the SiH2Cl2 molecule is approximately __________ and its dipole moment is ______ .A. Tetrahedral, zero B. Tetrahedral, greater than zero C. trigonal planar, zero D. trigonal planar, greater than zero The standard internal energy change for a reaction can be symbolized as U rxn or E rxn . For each reaction equation, calculate the energy change of the reaction at 25 C and 1.00 bar . Sn ( s ) + 2 Cl 2 ( g ) SnCl 4 ( l ) H rxn = 511.3 kJ/mol In a relational database, the link between two tables by a primary key and a foreign key is known as what? A cone-shaped drinking cup is made from a circular piece of paper of radius R by cutting out a sector and joining the edges CA and CB. Find the maximum capacity of such a cup. The total of 3 games is $38.97 . Each game costs the same amount. Write an equation that can be used to determine n , the cost of 1 game In the theory of relativity, the mass of a particle with velocity v ism = m01 v2/c2,where m0 is the mass of the particle at rest and c is the speed of light. What happens as v c?A. m ? m0B. m ? ?C. m ? 0D. m ? ?? What should the Architect do to ensure Field-Level Security is enforced on a custom Visualforce page using the Standard Lead Controller? Samar likes to snack frequently during the day, but he wants his snacks to provide at least 24 grams of protein per day. Each snack pack provides 4 grams of protein and each minibite provides 1 gram. snack pack cost 50 cents each and minibites 12 cents. how many of each snack should he use to minimize his daily cost? Which of the following is NOT true of Campin's Merode Altarpiece? 1. Campin's work, as a craftsman and painter, is reflected in the tools and activities of Joseph's workshop. 2. Campin used oil paint and its related techniques, which allowed him to achieve effects that were not possible with tempera 3. The scene of the Annunciation takes place in a contemporary Flemish home. 4. Campin painted himself kneeling in prayer in the panel on the left. What ingredient was originally used to bleach flour at the time that Harvey W. Wiley, head of the FDA successfully, got the practice of bleaching flour banned in the US for a short time? Write a function called rst_last that takes a single parameter, seq, a sequence. rst_last should return a tuple of length 2,where the first item in the tuple is the first item in seq, and the second item in tuple is the last item in seq. If seq is empty, the function should return an empty tuple. If seq has only one element, the function should return a tuple containing just that element. Poe states that the province of a poem is ____A artB beautyC truthD reason Hermann Ebbinghaus found that the more times he practiced the nonsense syllables on Day 1, the fewer repetitions he needed to relearn the information on Day 2 because he had increased his _____ time. How do topographic maps compare in their representation of continental and ocean-floor topography? A. Both continental and ocean-floor topography are measured relative to the Earth's center. B. Both continental and ocean-floor topography are measured relative to sea level. C. Continental topography is measured relative to sea level, while ocean-floor topography is measured relative to the Earth's center. D. Ocean-floor topography is measured relative to sea level, while continental topography is measured relative to the Earth's center. A student solves the equation StartFraction x + 3 Over 2 EndFraction = StartFraction 3 x + 5 Over 5 EndFraction using the steps in the table.Original equationStartFraction x + 3 Over 2 EndFraction = StartFraction 3 x + 5 Over 5 EndFractionCross multiplication5 (x + 3) = 2 (3x + 5)Distributive property5 x + 15 = 2 (3 x + 5)Subtraction property of equality5 = xWhich method of solving for the variable could be used instead of cross multiplication?distributing x + 3 and then 3x + 5 to both sides of the equationdistributing x 3 and then 3x 5 to both sides of the equationusing the multiplication property of equality to multiply both sides of the equation by 10using the multiplication property of equality to multiply both sides of the equation by One-tenth When two moles of ethane react completely with oxygen, how many moles of carbon dioxide will be produced?A. 2.B. 4.C. 8.D. Unknown number. Steam Workshop Downloader