(1 point) 5 dice of different colors are rolled, and the number coming up on each die is recorded. how many different outcomes are possible?

Answers

Answer 1

The number of total different outcomes are, 7,776.

What is rolling dice?

Every face of a cube known as a dice has a unique number.

By throwing a dice into the air, players can advance in any game by getting a certain number. Typically, this dice or dice has numbers from 1 to 6 written on each face or side of the cube-like shape.

Given:

Discrete 5 dice of different colors are rolled, and the number coming up on each dice is recorded.

Since all the dice are of different colors.

So any combination of the numbers on the dice is unique.

Dice has numbers 1 to 6.

So, for each dice there are 6 possibilities.

Since number coming on a dice is independent to the number coming on the another dice.

So, total different outcomes are = 6 x 6 x 6 x 6 x 6 = 6^5 = 7776.

Hence, the number of total different outcomes are, 7,776.

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Related Questions

An aircraft is taking a group of skydivers up into the air. Evan is dressed in his parachuting outfit, which brings his mass to a total of 90. 0 kg. The aircraft takes the group to a height of 5000. 00 m before the jump. How much gpe does evan gain before jumping?.

Answers

The gravitational potential energy gained by the group of skydivers before jumping is 4,410 kJ.

Explain the term Gravitational Potential Energy?The energy that an item has or acquires when its location changes as a result of being in a gravitational field is known as gravitational potential energy. Gravitational potential energy can be defined as an energy that has a connection to gravitational force or gravity.

Gravitational Potential Energy (GPE) is estimated as;

GPE = m×g×h              

In which

m = mass of parachuting outfit (kg)

g = acceleration due to gravity (m/s²)

h = height (meters)

Put the values in the formula.

GPE = 90× 9.8× 5000

GPE = 4,410,000‬ joules

GPE = 4,410 kJ

Thus, the gravitational potential energy gained by the group of skydivers before jumping is 4,410 kJ.

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A school administrator believes that the mean class GPAs for a given course are higher than the preferred mean of 2.75 at a significance level of 0.05, and checks a randomly chosen sample of 50 classes. Create a histogram, and calculate x¯, the t-statistic, and the p-value.Here is the data for the class GPAS:3.092.732.582.682.842.682.642.622.352.722.632.772.723.032.712.962.743.012.882.682.833.022.832.712.672.792.652.562.782.892.402.382.412.832.863.012.802.842.952.752.932.482.342.972.852.742.843.102.622.77The questions to answer:From the histogram, can normality be assumed? Yes/NoX =T=P=Since the P-value is (greater/less than) than the significance level of 0.05, than the null hypothesis (fails to be rejected/is rejected). (sufficient/insufficient) evidences exists that the new mean GPA is greater than 2.75

Answers

The mean GPA is greater than 2.75.

A= 4.0, A- = 3.7, B+ = 3.three, and many others. Total the first-class factors, and overall the credit hours. Divide the overall satisfactory points by means of the overall credit score hours.

Grade Point Average (GPA):

Grade point average (GPA) is the measure used to summarize your instructional fulfillment at Griffith. After the e-book of final grades every trimester, your software and career.

GPA is calculated and could be utilized by the college to tell choices, which include the subsequent: educational progression.

Divide the total range of grade factors earned with the aid of the total number of letter-graded units undertaken.

Mean GPA = total / 50    

                  = 2.75.

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The equation g equals three fifths times m represents the proportional relationship of the number of gallons of water (g) used by a washing machine over a certain period of time, in minutes (m). Create a written description for the equation. For each minute the washing machine runs, it uses five thirds gallons of water. For each minute the washing machine runs, it uses three fifths of a gallon of water. For each gallon of water the washing machine uses, it runs for three fifths of a minute. For each gallon of water the washing machine uses, it runs for 8 minutes.

Answers

The description of the proportional relationship in the context of this problem is given as follows:

For each minute the washing machine runs, it uses five thirds gallons of water.

What is a proportional relationship?

A proportional relationship is a special case of a linear function, with intercept of zero, meaning that the output variable y is obtained as the multiplication of the input variable x and the constant of proportionality k, as follows:

y = kx.

In this problem, the relationship is given by the equation presented as follows:

g = 3/5m

The variables are given as follows:

Input m: number of minutes.Output g: number of gallons of water.

The constant is of:

3/5.

Meaning that three fifths gallons of water are used each minute.

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randy wants to attach a 20 foot string of lights to the top of the 19 foot mast of his sailboat. how far from the base of the mast should he attach the end of the light string? round your answer to two decimal places.

Answers

The distance between the base of the string and the base of the mast of the sailboat is 6.24.

Here we have to find the distance from the base of the mast that should be attached to the end of the light string.

Data given:

length of the string = 20 foot

length of the mast of the sailboat = 19 foot

Distance between the base of the mast and the light string = [tex]\sqrt{20^{2} - 19^{2} }[/tex]

                                                                                             = [tex]\sqrt{400 - 361}[/tex]

                                                                                             = √39

                                                                                             = 6.245

Therefore the distance between the string and the mast is 6.24.

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Use Green's theorem and find the work that the force F performs when acting along the complete trajectory counterclockwise. The dimensions of the region R are b = 3 and d3 in ft. The force F is: F = [ay-cx ] lb; use a=2 and c=2. C, RC 0 c, d x

Answers

The work that the force F performs is -36.

How to calculate work using Green's Theorem?

F = [ay - cx]

a = 2

b = 3

c = 2

d = 3

Green's theorem is theorem about the relationship between a integral line on a simple closed curve C and a double integral of a plane D bounded by C. So, from Green's Theorem we get,

∫Pdx + Qdy = ∫∫([tex]\frac{\partial Q}{\partial x}[/tex]-[tex]\frac{\partial P}{\partial y}[/tex])dA

Put the a and c value into force F equation. So,

F = [2y - 2x]

From this, we get

P = 2y

Q = -2x

[tex]\frac{\partial P}{\partial y}[/tex] = 2

[tex]\frac{\partial Q}{\partial x}[/tex] = -2

So, the integral formula become

∫∫([tex]\frac{\partial Q}{\partial x}[/tex]-[tex]\frac{\partial P}{\partial y}[/tex])dA = ∫∫(-2-2)dA

= -4 dA

Next, we calculate the work

Work = -4 × b × d

= -4 × 3 × 3

= -36

Thus, the work is -36 for the force F performs.

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Of the 33 students in 10 science, 4 are boys What fraction of the class are girls?​

Answers

Lets break this down.

We are given the amount of students, which is 33, and so far the amount of boys in the class, which is 4. This can easily be written as [tex]\frac{4}{33}[/tex]. Now, we have a remainder of 29 students (most likely them being girls). This means that the fraction of the class that are girls would be [tex]\frac{29}{33}[/tex].

Hope this helps!

Find the center and radius of the circle.

Answers

Answer:

5

Step-by-step explanation:

If a circle has the diameter of 37in, what is the area?

Answers

Answer:

A = pi (r)^2, so first you have to find the radius. The radius = 18.5 since its diameter/2. So if you plug it in, its A = pi (18.5)^2 and your answer would be A = 1075.21. Hope I helped :))

Step-by-step explanation:

lapeer flour mills purchased new equipment and made the following expenditures: purchase price $ 64,000 sales tax 5,450 shipment of equipment 890 insurance on the equipment for the first year 590 installation of equipment 1,780

Answers

The journal entry for the following transaction will be:

Equipment A/c....Dr. 73120

Prepaid Insurance A/c....Dr. 590

Cash A/c....Cr. 3260

Accounts payable A/c....Cr.  70450

Any cost that has been incurred by the company to make an asset ready to use, is also included in its purchasing price. So, any transportation, legal, or maintenance fee is also included in the asset cost.

The total cost of the new machine = Purchase price + Sales tax + Shipment of machine + Installation of machine

Total cost of new machine = 65,000 + 5,450 + 890 + 1,780

The total cost of the new machine = $73,120

Journal entry for the same:

Equipment A/c....Dr. 73120

Prepaid Insurance A/c....Dr. 590

Cash A/c....Cr. 3260

Accounts payable A/c....Cr.  70450

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An online furniture store sells chairs for $50 each and tables for $250 each. Every day, the store can ship no more than 36 pieces of furniture and must sell at least $3400 worth of chairs and tables. If 23 chairs were sold, determine all possible values for the number of tables that the store must sell in order to meet the requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

Answers

The values for the number of tables are 9, 10, 11, 12, and 13 the store must sell in order to meet the requirements.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Let's assume that the number of tables would be x

According to the given information, we can write the inequality would be as:

x + 23 ≤ 36  ....(i)

23 × 50 + 250x ≥ 3400  ....(ii)

Simultaneus (i) and (ii)

9 ≤ x ≤ 13

Therefore, the value will be lies as 9, 10, 11, 12, and 13.

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solve 4 6/8 - 2 3/5

A. 1 6/13

B. 1 3/40

C. 2 6/40

D. 2 3/13
Giving Brainliest!!!!!

Answers

Answer:

C

Step-by-step explanation:

1. Change to improper fractions

4 6/8 -> Multiply 4 and 8. Add 6. = 38/8

2 3/5 -> Multiply 2 and 5. Add 3. 13/5

Denominators are different so we have to make the same.

38/8 = 190/40
13/5 = 104/40

190/40-104/40 = 86/40 -> 2 6/40

What are the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that the ratio of ABABA, B to ACACA, C is 5:65:65, colon, 6? An x- y- coordinate plane where the x and y tick marks scale by one. A line segment has endpoint A at one, negative six and endpoint C at negative four, two.

Answers

Answer: The coordinate of C is (2, 1.8)

Let the coordinates of A and C be (2, 1) and (2, 4). If the line AC is divided into the ratio of 2:3. This coordinate of C is given as:

Get the coordinate of X;

X = ax1+bx2/a+b

X = 2(2)+3(2)/2+3

X = (4+6)/5

X = 10/5

X = 2

Get the coordinate of Y:

Y = ay1+by2/a+b

Y = 2(1)+3(4)/2+3

Y = (2+12)/5

Y = 14/5

Y = 1.8

Hence the coordinate of C is (2, 1.8)

WILL GIVE BRAINLIEST!!!!

Prove that a line that divides two sides of a triangle proportionally is parallel to the third side. Be sure to create and name the appropriate geometric figures. (10 points)

Answers

Answer:

Use the Triangle Proportionality Converse. If the ratios are equal, then the lines are parallel.

13. Amelia has similar cake pans. The
first pan is 10 inches long and 8 inches
wide. The second pan is 14 inches
Tong. How wide is the second pan?
11.2 inches
B.
11 inches
C. 10.8 inches
D. 10.6 inches
A.11.2
B.11 inches

Answers

Width of second pan become 11.2 inches

What do you mean by similar figures?

Two figures are said to be similar if they share the same shape. Congruent objects are those that are precisely the same size and shape.

The term "similar figures" refers to two figures that share the same shape but differ in size.

When two figures are comparable, the sign ‘∼’ is used to indicate that they are.

It is given that Amelia has similar cake pans. The first pan is 10 inches long and 8 inches wide. The second pan is 14 inches long.

We know that the ratio of the sides of the similar figures is always equal,

So , [tex]\frac{10}{8}=\frac{14}{x}[/tex]

where x is the width of second pan.

Solve the above equation using cross multiplication we get,

x = [tex]\frac{14 \times 8}{10} = \frac{112}{10}=11.2[/tex]

Hence, width of second pan become 11.2 inches

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to obtain a 99.7% (virtually all-encompassing) confidence interval for the true population proportion, you would add and subtract about how many standard deviations to/from the sample proportion?

Answers

We would add and subtract about three standard deviations from the sample proportion to get a 99.7% (nearly full) confidence interval for the real population proportion.

What is a confidence interval?

A confidence interval is a range of estimates for an unknown quantity in frequentist statistics.

The most frequent confidence level is 95%, but other levels, such as 90% or 99%, are infrequently used for generating confidence intervals.

To obtain a 99.7% (almost complete) confidence range for the real population proportion, you would add and deduct around three standard deviations from the sample proportion.

A confidence interval is a range of values that are bound by the statistic's mean and that is likely to include an unidentified population parameter.

The proportion of probability, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn numerous times is referred to as the confidence level.

Therefore we would add and subtract about three standard deviations from the sample proportion to get a 99.7% (nearly full) confidence interval for the real population proportion.

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Correct question:
To obtain a 99.7% (virtually all-encompassing) confidence interval for the true population proportion, you would add and subtract about __________ standard deviations to/from the sample proportion.

Colin loves to eat tuna salad for lunch. His mom is always looking for a bargain on 12-ounce cans of tuna. Today, his local grocery store is offering 4 cans of Sea Star tuna for $3.28 and 2 cans of Ocean's Best tuna for $1.88. Which brand is the better deal?

Answers

Answer:

Sea star tuna

Step-by-step explanation:

which graph represents the peicewise function ?

Answers

Graph option B is the correct answer.

What is graphical representation?

Graphical representation refers to the use of charts and graphs to visually display, analyse, clarify, and interpret numerical data, functions, and other qualitative structures.

Given are function,

y = x+1 ≤0 and y = 3x

The best demonstration of these functions can be seen in graph 2.

Hence, Graph option B is the correct answer.

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y= 5x the table for it

Answers

Answer:

The left side represents x, and the right side is y

Step-by-step explanation:

This table is simply going up by 5

A shirt regularly is priced $42. It is on sale 15% off of the regular price. whats is the sale price of the shirt

Answers

Answer:35.70

Step-by-step explanation:

Answer:

35.7

Step-by-step explanation:

Regular priced is=. ₹42

off persent is =15%

15/100×42=6.3

42-6.3=35.7

geometric sequence with a ratio of 2 and a first term of 1/3.

Answers

Answer:

1/3, 2/3, 4/3, 8/3, 16/3, 32/3

or

1/3, 2/3, 1 1/3, 2 2/3, 5 1/3, 10 2/3

Step-by-step explanation:

The length of segment EF is 8 units and the length of segment ED is 10 units. Find the length of segment FD.

Answers

Answer:

6

Step-by-step explanation:

DF = [tex]\sqrt{10^2 - 8^2}[/tex]

[tex]\sqrt{10^2-8^2} = \sqrt{100-64}[/tex]

[tex]\sqrt{100-64} = \sqrt{36}[/tex]

[tex]\sqrt{36} =6[/tex]

Leon has already had 4 science quizzes this semester. Going forward, he expects to have 1 quiz per week. Write an equation that shows how the total number of science quizzes, y, depends on the number of weeks that have passed, x.

Answers

The equation that shows how the total number of science quizzes, y, depends on the number of weeks that have passed, x, is y = 4 + x.

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

Given that, Leon has already taken 4 quizzes, and now, he will have 1 quiz per week.

The number of quizzes taken by Leon in x weeks is:

1x

=x

Since Leon already has 4 quizzes, the total number of quizzes after x weeks is:

y = 4 +x

Hence, the equation that shows how the total number of science quizzes, y, depends on the number of weeks that have passed, x, is y = 4 + x.

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Using the Pythagorean Theorem, determine the distance from point (8, −6) to the origin
Pls help asap

Answers

Step-by-step explanation:

a point on a coordinate grid always creates a right-angled triangle.

the straight distance from the origin (0, 0) is the Hypotenuse (the side opposite of the 90° angle).

the coordinate distances in x and y directions are the 2 legs.

Pythagoras :

c² = a² + b²

c being the Hypotenuse, a and b being the legs.

so,

(distance from origin)² = x² + y²

because the x, y coordinates are the coordinate distances from the origin in x and in y direction.

distance² = 8² + (-6)² = 64 + 36 = 100

distance = sqrt(100) = 10

the point is 10 units apart from the origin.

Shakira went bowling with her friends. She paid $3 to rent shoes and hen $4.50 for each games of bowling. If she spent a total of $21, how many games did Shakira bowl?

Answers

Answer: She bowled 4 games

Step-by-step explanation:

21 - 3 = 18
18 ÷ 4.50 = 4

Answer:

Shakira bowled 4 games.

Step-by-step explanation:

If Shakira paid $3 for rent, we can subtract 3 from 21.

21-3=18.

Now, find out how much 4.50 can go into 18.

First, multiply 4.50 by 2.

4.50x2=9

Now, Since 2 games is $9, multiply 9 by 2.

9x2=18

Now that we found out that 9x2=18, we can see that Shakira bowled 4 games.

Hope this helps! :D

The circumference of a circle is 22pi cm. What is the area, in square centimeters?

Answers

Answer:

Area = 121pi sq cm

Step-by-step explanation:

Circumference is the distance around the circle. The formula for circumference is:

C = pi•d

The question has the info in it that the circumference is 22pi.

C = 22pi

remember,

C = pi•d this means that the circle has a diameter (the d in the formula is diameter) 22cm.

The radius is half the diameter. The diameter is 22cm, so the radius is 11cm.

The formula for the area is:

Area = pi•r^2

= pi•11^2

= pi•121

= 121pi

The area is 121pi sq cm.

two gamblers are playing a coin toss game. gambler a has (n 1) fair coins; b has n fair coins. what is the probability that a will have more heads than b if both flip all their coins

Answers

The more coins that are tossed for both gamblers, the less advantageous Gambler A is. But when a few coins are tossed, Gambler A will continue to hold a significant edge.

The binomial distribution;

In probability theory and statistics, the binomial distribution with parameters n and p is used to describe the discrete probability distribution of the number of successes in a set of n independent experiments.

Let X be the number of wins in the first n flips by A, Y be the signal that the last flip by A also wins, and Z be the number of wins in the n flips by B.

As Y is unrelated to X and Z, the following follows:

P(X + Y > Z) = P(Y = 1) P(X ≥ Z) + P(Y = 0) P(X > Z)

= 1/2(P(X = Z) + 2P(X > Z))

P(X > Z) = P(Z > X)

Here,

The less favorable Gambler A is, the more coins are tossed for both players. However, Gambler A will continue to have a sizable advantage even after a few coins are tossed.

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At a movie theater, the size of popcorn bags decreased 33\frac{1}{3} 3 1 ​ %. If the old bags held 24 cups of popcorn, how much does the new bags hold? At a movie theater, the size of popcorn bags decreased 33\frac{1}{3} 3 1 ​ %. If the old bags held 24 cups of popcorn, how much does the new bags hold?

Answers

Answer:56

Step-by-step explanation:

if the growth rate r of a population is positive and remains constant, the number of people added to the population:

Answers

The number of persons added to the population rises annually if the population's growth rate, r, is positive and stable.

Given statement,

If the growth rate r of a population is positive and remains constant, the number of people added to the population,

In the given case the solution will be the number of people added to the population " increases each year ".

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a farmer is making a circular pen for his sheep. he has 213.52 yards of fencing to use. what should the diameter of the circle pen be?

Answers

The diameter of the circle pen for the sheep of the farmer is 68 yards.

Explain the term circumference of the circle?The distance along a circle's perimeter is referred to as its circumference. In other words, the circumference of a circle is equal to the length of a straight line formed by opening up the circle.The space around a circle is known as its circumference. By calculating the distance required to walk around the globe, we may determine the size of the earth's circumference.

The total length of the fencing used for the preparation of the fencing for sheep is 213.52 yards.

Thus,

circumference = 213.52 yards

The formula for the calculation of the circumference of circle is,

circumference = 2πr,

In which,

π = 3.14  and radius r.

Thus,

213.52 = 2πr

r = 213.52 / 2π

r = 34

Diameter = 2 x radius

Diameter = 2 x 34

Diameter = 68 yards.

Thus, the diameter of the circle pen for the sheep of the farmer is 68 yards.

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Ginny and Bob are both locksmiths.
Ginny uses the function f(x) = 60z+80 to determine the charge to her customers, where x represents the number of hours of
labor.
The table shows what Bobcharges a customer for x hours of labor.
x (hours)
cost ($)
0
60
140
Which locksmith charges less for an initial fee for a service call?
Drag a value or name to the boxes to correctly complete the statements

Answers

Ginny initial charge = $80, Bob initial charge =$60 For the initial fee, Bob charges less than Ginny.

What is unit rate?

A unit rate is the cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

Given that Ginny charges by uses the function f(x)=60x+80 where x represents the number of hours of labour.

Ginny initial charge = $80

Bob initial charge =$60

Hence, For the initial fee, Bob charges less than Ginny.

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What act was made to prevent wild buying and selling on the stock market?a. The Anti Market Actb. The Truth-in-Securities Actc. The TTCd. The Truth-Democrat Act which measures would the nurse take to prevent skin breakdown for a confused client? hesi eaq suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a constant rate of 6 cubic feet per minute. if the pool has radius 3 feet and height 8 feet, what is the rate of change of the height of the water in the pool when the depth of the water in the pool is 6 feet? if the power delivered were 59.32 kw, evaluate the outer surface temperature, in k, and the rate of entropy production, in kw/k, for the gearbox as the system, keeping input power, h, and a from example 2.4 the same. How did brice marden interpret the spiritual reverence for nature that he found in the buddhist poems of cold mountain?. A codon is a set of three nucleotides that correspond to a specific amino acid. The table below shows various DNA codons and their corresponding amino acids.Amino Acid DNA Codon(s)Alanine GCT, GCC, GCA, GCGArginine AGA, AGG, CGT, CGC, CGA, CGGAsparagine AAT, AACAspartic Acid GAT, GACCysteine TGT, TGCGlutamic Acid GAA, GAGGlutamine CAA, CAGGlycine GGT, GGC, GGA, GGGHistadine CAT, CACIsoleucine ATT, ATC, ATALeucine CTT, CTC, CTA, CTG, TTA, TTGLysine AAA, AAGMethionine (Start) ATGPhenylalanine TTT, TTCProline CCT, CCC, CCA, CCGSerine TCT, TCC, TCA, TCG, AGT, AGCThreonine ACT, ACC, ACA, ACGTryptophan TGGTyrosine TAT, TACValine GTT, GTC, GTA, GTGStop TAA, TAG, TGATwo strands of DNA are identical except for one codon. As a result, they code for slightly different proteins. Based on the information in the table above, which of the following statements could be true? A. One strand contains a CCC codon instead of CCA. B. One strand contains a ACG codon instead of ACA. C. One strand contains a CGC codon instead of CGG. D. One strand contains a CAC codon instead of CTC. Urgent, please helpI'll mark brainliest Select the best choice to match the description. Answers may be used more than once or not at all.This Starling force is roughly double the pressure in regular systemic capillaries because the amount of blood flow to the kidneys is 2X greater. a nurse admits a woman reporting severe right upper quadrant pain after eating dinner. what client risk factors lead the nurse to suspect gallbladder disease? select all that apply. read the sentence. los estudiantes [blank] en la clase. which form of the verb estar fills the blank correctly? true false an easement is the right to go onto land owned by another and take away some part of the land itself or some product of the land. Wrinkles Away Inc. is entering... Wrinkles Away Inc. is entering a foreign market and is spending significant funds on educating customers about their line of wrinkle-reducing skincare products. These costs are an example of costs Multiple Choice learning pioneering opportunity greenfield R&D MC Qu. given that the standard gibbs energy change for the following reaction is 23 kj mol-1 at 298 k what are the concentrations of ca2 and so42- at equilibrium? the reduction of nitric oxide with hydrogen is second order in and first order in . complete the rate law for this reaction in the box below. use the form , where '1' is understood for , ... (don't enter 1) and concentrations taken to the zero power do not appear. rate Juan buys 13 bottles of apple juice at the corner store for a total cost of $5.07. Assumeeach bottle of juice is the same price. If c represents the total cost in dollars and centsof the juice for any number, j, of bottles of juice, write a proportional equation for c interms of j that matches the context. while gabby is trying to watch the video in the kind care text, she is interrupted and distracted by a flurry of other text messages. in a communication exchange, these other text messages are known as andy noticed that the status report seemed to be missing a section. it did not describe what the team will accomplish between now and the next report. based on andy's observation, the status report is missing the section. The governor resembles the U.S. President in that they appoint every other state executive (such as attorney general and secretary of state), as well as department heads to help carry laws into effect.FalseTrue Which describes Eurasia? 50 g of sugar is dissolved in 500 g of water. What is the percent by mass of salt?HINT: find the total mass of the solution first.