Solve for 50 points
x^(2)=100

A positive δS and a negative δH indicate a spontaneous reaction.

The signs of δs and δh are related to the spontaneity of a reaction through the Gibbs free energy equation:

ΔG = ΔH - TΔS

where ΔG is the change in Gibbs free energy, ΔH is the change in enthalpy, T is the temperature in Kelvin, and ΔS is the change in entropy.

For a spontaneous reaction, ΔG must be negative. The sign of ΔG depends on the signs of ΔH and ΔS and the temperature. Specifically, if ΔH is negative (exothermic reaction) and ΔS is positive (increase in disorder), then ΔG will be negative and the reaction will be spontaneous at all temperatures.

If δs is positive and δh is negative, then ΔS is positive and ΔH is negative. This satisfies the conditions for a spontaneous reaction, and therefore the reaction will be spontaneous at all temperatures.

In summary, a positive δS and a negative δH indicate a spontaneous reaction.

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Answer:

Step-by-step explanation:

Associative property of multiplication:

It makes calculations easier by by grouping easy ones. Applying to given expression:

Answer:

(6*3/2)1/5

Step-by-step explanation:

A-P-E-X

3.6.2 CST

Answer:

B= 21

Step-by-step explanation:

A^2 + B^2 = C^2

72^2 + B^2 = 75^2

Solve for B

B = 21

Answer:

Step-by-step explanation:

5678

Answer:

6 - 3.5 = 2.5

Step-by-step explanation:

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{3}-\stackrel{y1}{(-7)}}}{\underset{\textit{\large run}} {\underset{x_2}{8}-\underset{x_1}{(-2)}}} \implies \cfrac{3 +7}{8 +2} \implies \cfrac{ 10 }{ 10 } \implies 1\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{ 1}(x-\stackrel{x_1}{(-2)}) \implies y +7 = 1 ( x +2) \\\\\\ y+7=x+2\implies {\Large \begin{array}{llll} y=x-5 \end{array}}\)

Answer: b and d (options 2 and 4)

Step-by-step explanation:

36 photos divided amongst ? pages with 6 on each page means that

#1 (p=6*36) is incorrect

#2 (36=p*6) is correct since the number of pages times 6 should equal 36

#3 (p=36*6) is essentially the first option and therefore incorrect

#4 (p=36/6) is correct because 36 pictures divided with 6 pictures on each page will give you the amount of pages

FYI, the amount of pages is 6.

Answer:

a = 15

Step-by-step explanation:

6 + 9 = 15

a = 15

15 - 6 = 9

yes

Answer:

a=15

Step-by-step explanation:

Move all terms not containing  a  to the right side of the equation.

15-6=9

Answer:

distributive property of multiplication over addition

Step-by-step explanation:

Answer:

Step-by-step explanation:

true

Answer: True.

Step-by-step explanation: The new United States needed a way to borrow money for its government, its industrial development, and its commercial activity.

Answer:

Part  A is : 40 feet

Part B i'm not very sure about at all we haven't learned that yet

Part C is B

Step-by-step explanation:

Answer:

correct answer : 3 questions

Step-by-step explanation:

alexa completed = 20% of 30 = 6 questions

Brent completed = 30% of 30 = 9 questions

so Brent completed 3 questions more than Alexa ...

plz mark my answer as brainlist plzzzz vote me

Answer:

No, the two triangles can not be proven to be congruent with the given information. The reason that it can't be proven is due to there being a missing measurement. The triangles could be proven to be congruent if there was an angle given or if the other side was shown to be congruent.

Step-by-step explanation:

This is in my own words not taken from the internet but i suggest that you reword it because our wrighting styles are probably different and sometimes you can get counted off for that. I hope this helps!

Answer:

n=11

The first step is to use distributive property on the right side of the equation. Hope that helps

Answer:

$188

Step-by-step explanation:

first you would do 87 + 7 which is 94

then multiply it by 2 which is 188

hope this helps :)

Answer:

The original price of the jacket was $188

Step-by-step explanation:

1/2x - 7 = 87

      +7     +7

1/2x = 94

x2       x2

x = 188

Answer:

x = {-8 - √10, -8 + √10}     exact answer

x = {-11.16, -4.84}     decimal approximation

Step-by-step explanation:

2(x + 8)²+ 9 = 29

Subtract 9 from both sides

2(x + 8)² = 20

Divide both sides by 2

(x + 8)² = 10

Take the square root of both sides

x + 8 = ±√10

Subtract 8 from both sides

x = -8 ± √10

x = {-8 - √10, -8 + √10}     exact answer

x = {-11.16, -4.84}     decimal approximation

Using compound interest formula when the CD matures on Melissa's 14th birthday, there will be $3187.69 available.

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

Use the formula for compound interest to calculate the amount of money that will be available when the CD matures -

\(A = P(1 + r/n)^(nt)\)

Where A is the amount of money available when the CD matures, P is the initial principal, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, the initial principal is $2000, the interest rate is 6%, and the CD will be held for 8 years (from Melissa's 6th to 14th birthday).

It is not given how many times per year the interest is compounded, so assume it is compounded annually.

Using these values in the formula -

\(A = $2000(1 + 0.06/1)^(1*8)A = $2000(1.06)^8A = $3187.69\)

Therefore, the value is obtained as $3187.69.

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Answer:

c(p) = {0.2 p ⇒ p < 1000

          0.24 p - 40 ⇒ 1000 ≤ p ≤ 2000

          0.29 p - 140 ⇒ p > 2000}

Step-by-step explanation:

* Lets explain how to solve the problem

- The profit is represented by p

1. If the profit is under $1,000,  the commission rate is 20%

∵ The profit is p < 1000

∵ 20% of p =  = 0.2 p

∵ c(p) is the function of the commission

∴ c(p) = 0.2 p when p < 1000

2. If the profit is at least $1,000 and less than or equal to  $2,000, the

 commission rate is 20% of the first $1,000 and 24% of the remainder

 of  the profit

- At least means greater than or equal

∵ The profit 1000 ≤ p ≤ 2000

- The commission is divided into 20% of first $1000 and 24% of

 the reminder

∵ 20% of 1000 =  = 200

∵ The remainder of the profit = p - 1000

∵ 24% of the remainder profit =

 = 0.24(p - 1000) = 0.24 p - 240

∴ The total commission = 200 + 0.24 p - 240

∴ The total commission = 0.24 p - 40

∴ c(p) = 0.24 p - 40 when 1000 ≤ p ≤ 2000

3. If the profit is above $2,000, the rate is 20% of the first $1,000

  of profit,  24% of the next $1,000 of profit, and 29% of the amount

  of profit over $2,000

∵ The profit p > 2000

- The commission is divided into 20% of first $1000 and 24% of the

 next $1,000 of profit, and 29% of the amount of profit over $2,000

∵ 20% of 1000 =  = 200

∵ 24% of 1000 =  = 240

- The amount of profit over $2,000 = p - 2000

∵ 29% of the amount of profit over $2,000 =

   = 0.29(p - 2000)

  = 0.29 p - 580

∴ The total commission = 200 + 240 + 0.29 p - 580

∴ The total commission = 0.29 p - 140

∴ c(p) = 0.29 p - 140 when p > 2000

* The commission function is:

c(p) = {0.2 p ⇒ p < 1000

           0.24 p - 40 ⇒ 1000 ≤ p ≤ 2000

           0.29 p - 140 ⇒ p > 2000}* Lets explain how to solve the problem

- The profit is represented by p

1. If the profit is under $1,000,  the commission rate is 20%

∵ The profit is p < 1000

∵ 20% of p =  = 0.2 p

∵ c(p) is the function of the commission

∴ c(p) = 0.2 p when p < 1000

2. If the profit is at least $1,000 and less than or equal to  $2,000, the

 commission rate is 20% of the first $1,000 and 24% of the remainder

 of  the profit

- At least means greater than or equal

∵ The profit 1000 ≤ p ≤ 2000

- The commission is divided into 20% of first $1000 and 24% of

 the reminder

∵ 20% of 1000 =  = 200

∵ The remainder of the profit = p - 1000

∵ 24% of the remainder profit =

 = 0.24(p - 1000) = 0.24 p - 240

∴ The total commission = 200 + 0.24 p - 240

∴ The total commission = 0.24 p - 40

∴ c(p) = 0.24 p - 40 when 1000 ≤ p ≤ 2000

3. If the profit is above $2,000, the rate is 20% of the first $1,000

  of profit,  24% of the next $1,000 of profit, and 29% of the amount

  of profit over $2,000

∵ The profit p > 2000

- The commission is divided into 20% of first $1000 and 24% of the

 next $1,000 of profit, and 29% of the amount of profit over $2,000

∵ 20% of 1000 =  = 200

∵ 24% of 1000 =  = 240

- The amount of profit over $2,000 = p - 2000

∵ 29% of the amount of profit over $2,000 =

   = 0.29(p - 2000)

  = 0.29 p - 580

∴ The total commission = 200 + 240 + 0.29 p - 580

∴ The total commission = 0.29 p - 140

∴ c(p) = 0.29 p - 140 when p > 2000

* The commission function is:

c(p) = {0.2 p ⇒ p < 1000

           0.24 p - 40 ⇒ 1000 ≤ p ≤ 2000

           0.29 p - 140 ⇒ p > 2000}

To calculate the probability of event E, which is rolling at least one 6, we can use the complement rule.

P(E) = 1 - P(E^C)

First, let's calculate P(E^C), the probability of the complement event, which is rolling no 6's in a single roll of the die. Assuming a fair 6-sided die, the probability of not rolling a 6 on a single roll is 5/6.

P(E^C) = 5/6

Now, we can calculate P(E) using the complement rule:

P(E) = 1 - P(E^C)

P(E) = 1 - 5/6

P(E) = 1/6

Therefore, the probability of rolling at least one 6 (event E) is 1/6, or approximately 0.167 (rounded to three decimal places).

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The character of the string "str1" = part1 will be printed.

The correct option is C.

We have,

str1 = "part1"

str2 = "part2" for x in str1: print (x, end=" " )

The program will print each character of the string "str1" on a separate line, followed by a space.

In this case, the string "str1" is "part1", so the program will print "p a r t 1" (with spaces in between each character).

The string "str2" is not involved in the loop, so it will not be printed.

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This statement is - true.

Two angles that lie in the same plane and have a common vertex and a common side but have no common interior points are the meaning of adjacent angles.

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the measure of the largest angle of the triangle is Largest angle = 4x + 10 = 4(25) + 10 = 110 So, the largest angle of the triangle has a measure of 110 degrees.

tLet x be the measure of the smallest angle of the triangle.

According to the problem statement, the measure of the largest angle of the triangle is 10 more than 4 times the measure of the smallest angle. Therefore, we can write:

Largest angle = 4x + 10

The measure of another angle is 20° more than the smallest angle. Therefore, we can write:

Other angle = x + 20

Since the sum of the measures of the angles in a triangle is always 180 degrees, we can write an equation based on this fact:

Smallest angle + Largest angle + Other angle = 180

Substituting the expressions we have for the largest angle and the other angle, we get:

x + (4x + 10) + (x + 20) = 180

Simplifying the expression, we get:

6x + 30 = 180

Subtracting 30 from both sides, we get:

6x = 150

Dividing both sides by 6, we get:

x = 25

Therefore, the measure of the largest angle of the triangle is:

Largest angle = 4x + 10 = 4(25) + 10 = 110

So, the largest angle of the triangle has a measure of 110 degrees.

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Answer:

3645

Step-by-step explanation:

65610/18=3645

Answer:

\( - 2 \times 5 - 7 \times ( - 3) = - 10 + 21 = 11\)

Answer:

Step-by-step explanation:

As per graph:

Calculation:

Answer:

  (c)  $31.75

Step-by-step explanation:

First of all, you need to use some number sense to estimate an answer.

If the $900 loan had no interest, 1/3 of it would be paid off in each of the 3 years, or about $300 each year. You will be making 12 monthly payments each year, so the amount of principal being paid with each payment is $300/12 = $25. Any answer much above this amount will not make sense, so you can immediately reject all choices except $31.75.

__

The simple interest on the loan is ...

  I = Prt = $900×0.09×3 = $243

That, too, is divided among the 36 payments, so adds ...

  $243/36 = $6.75 to each of the $25 payments we calculated above.

The monthly payment is ...

  $25 +6.75 = $31.75

the answer is 4.8. Your welcome

Answer:

(6-2)÷3=1

this is the answer

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The volume of a solid is  \(\frac{26}{3} \pi\).

Given

The given curves about the specified line. y = x + 1, y = 0, x = 0, x = 2; about the x-axis

Curve is y = x + 1

Line is y = 0

We have to find out the volume v of the solid obtained by rotating the region bounded by these curves.

If the region bounded above by the graph of f, below by the x-axis, and on the sides by x=a and x=b is revolved about the x-axis, the volume V of the generated solid is given by \(V = \pi \int\limits^b_a {(f(x))^{2} } \, dx\). We can also obtain solids by revolving curves about the y-axis.

Volume of a solid:

According to washer method:

\(V = \pi \int\limits^b_a {(f(x))^{2} } \, dx\)

Using washer method, where a=0 and b=2, we get

V = \(\pi \int\limits^2_0 {(x+1)^{2} } \, dx\)

= \(\pi[ \frac{(x+1)^{3} }{3} ]0 \ to \ 2\)

= \(\pi [\frac{(3+1)^{3} }{3} -\frac{(0+1)^{3} }{3}]\)

= \(\pi [\frac{27}{3} -\frac{1}{3} ]\)

= \(\pi [\frac{26}{3}]\)

= \(\frac{26}{3} \pi\)

Therefore the volume of a solid is  \(\frac{26}{3} \pi\).

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Answer:

154 m^2

Step-by-step explanation:

Area of a circle:  A = (pi)(radius)^2

Here, r = 7 m, so A = (3.14)(7 m)^2 = 154 m^2

Yes the acceptable move that proves the two equation are equivalent.

What is equivalent equation?

equivalent equation are algebraic equations that have identical solutions or roots. Adding or substracting the same number or expression to both side of an equation produce an equivalent equation. Systems of equations that have the same solutions are said to be equivalent equations. Finding and resolving equivalent equations is an important skill for everyday life as well as for algebra classes. Consider some illustrations of equivalent equations, how to solve them for one or more variables, and practical applications of this knowledge.

Sol-

By observing both equations

In equation A : -3(x+9)=18

Divide the equation A by -3

=> (x+9)=-6

And this result equals to equation B

Hence both equations are equivalent

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