please explain correctly how to get the correct answer thank you.

The wooden artifact was made approximately 3,183 years ago. The amount of carbon-14 present in an artifact can be used to determine how long ago the organism that the artifact came from died.

The half-life of carbon-14 is 5730 years, which means that every 5730 years, half of the carbon-14 in a sample will decay. Let's call the amount of carbon-14 in the living tree sample 100%. Since the artifact contains 35% of that amount, we can write:

0.35 x 100% = 100% x (1/2)^(t/5730)

where t is the number of years since the artifact was made.

Simplifying this equation, we get the following:

0.35 = 0.5^(t/5730)

Taking the logarithm of both sides, we get:

log(0.35) = (t/5730) x log(0.5)

Solving for t, we get:

t = (5730 x log(0.35)) / log(0.5)

Using a calculator, we get:

t ≈ 3,183 years

Therefore, the wooden artifact was made approximately 3,183 years ago.

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The points on the graph of the equation represent the solution set to the equation.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is the equation as -

- x - y = 4

The given equation is -

- x - y = 4

x + y = 4

The graph of the given equation will represent a straight line. All the points on the line represent the solution set to the equation.

Therefore, the points on the graph of the equation represent the solution set to the equation.

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{Question in english -

How can i solve this?

- x - y = 4}

The answer is 10.5

First you need to subtract the ending cost (25.50) giving you $52.5

With that 52.5 just divide by the amount of shirts bought (5) and you get 10.5 per shirt.

Answer:

10.50

Step-by-step explanation:

you take 78 and subtract that by 25.50 which gives you how much money he spends on the 5 t-shirts. that will 52.50

now you know that he spends 52.50 on 5 t-shirts, so you divide that by 5 which gives you 10.50

hope it helps

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Answer:

Step-by-step explanation:

An expression to display a loss of 42 yards on the football field would be: -42 yards.

The negative sign in front of the number 42 indicates a loss or a decrease in the yards, which represents a loss of 42 yards on the football field.

Answer:

x = 4

The missing angle is 28°

Step-by-step explanation:

7x + 62 = 90  These angles are complementary which means that they add to 90°

7x + 62 = 90  Subtract 62 from both sides of the equation

7x = 28  Divide both sides by 7

x = 4

The final mixture contains 7 quarts.

What is Mixture?

A mixture is generated when more than one chemical is mixed. A mixture can be created in a variety of ways, including using a liquid, solid, or gaseous medium.

First, let's add up the amount of the three ingredients to find the total volume of the mixture:

144 fl oz + 24 fl oz + 56 fl oz = 224 fl oz

Now, we can convert fluid ounces to quarts:

1 quart = 32 fluid ounces

So, we can divide the total volume in fluid ounces by 32 to find the total volume in quarts:

224 fl oz / 32 fl oz/quart = 7 quarts

Therefore, The final mixture contains 7 quarts.

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Answer:

Tje answer is 36

Step-by-step explanation:

16-30=14

24+14=-36

For the required linear function , the height of the candle when the amount of time for  burning a candle is 16 hours is equal to 18.8 centimeters.

Let 'h' be the height of the candle.

And 't' be the amount of time used for burning.

Required linear function is :

h = mt + c

When t = 8 hours  , h = 20.4centimeters

20.4 = 8m + c ___(1)

When t = 19 hours  , h = 18.2centimeters

18.2 = 19m + c ___(2)

Subtract (2) from (1) we get,

20.4 = 8m + c

18.2 = 19m + c

2.2 = -11m

⇒ m = -2.2 / 11

⇒ m = -0.2

Substitute in (1) we get,

20.4  = 8( -0.2 ) + c

⇒ c = 20.4 + 1.6

⇒ c = 22

Now , h = -0.2t + 22

When t = 16 hours

⇒ h = -0.2(16) + 22

⇒ h = -3.2 + 22

⇒ h = 18.8 centimeters

Therefore, the height of the candle when amount of time of burning is 16 hours is equal to 18.8 centimeters.

The above question is incomplete, the complete question is:

Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 8 hours of burning, a candle has a height of 20.4 centimeters. After 19 hours of burning, its height is 18.2 centimeters. What is the height of the candle after 16

hours?

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Answer:

5s + 4j where s is the cost of shirts and j is the cost of jeans

Step-by-step explanation:

for shirts, we can represent it with s

for jeans, we can represent it with j

steve is buying two shirts (s) and three jeans (j), so we can write Steve's cost as 2s+3j

his brother buys three shirts (s) and one pair of jeans (j), so we can write his brothers cost as 3s+1j

now, steve's cost is 2s+3j

and his brother's is 3s+1j

we can add these together to find the total cost

2s + 3j + 3s + 1j

combine like terms

5s + 4j

The total cost of the shirts and jeans are,

⇒ 5x + 4y

Where, x is cost of each shirt and y is cost of each jeans.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

For the summer, Steve buys 2 shirts and 3 pairs of jeans. His brother buys 3 shirts and 1 pair of jeans.

Let the cost of each shirt = x

And, The cost of each jeans = y

Hence, We get;

Cost of Steve shirts and jeans = 2x + 3y

And, Cost of his brother shirts and jeans = 3x + y

Thus, The total cost of the shorts and jeans are,

⇒ 2x + 3y + 3x + y

⇒ 5x + 4y

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A fair coin and a fair six-sided die, the sample space can be represented as:

{ (H,1), (H,2), (H,3), (H,4), (H,5), (H,6), (T,1), (T,2), (T,3), (T,4), (T,5), (T,6) }

where H represents heads and T represents tails for the coin toss, and the numbers 1 through 6 represent the numbers on the die.

The sample space for this experiment can be described as the set of all possible outcomes of the coin toss and die cast. One way to represent the sample space is to use the Cartesian product of the sample space for the coin toss and the sample space for the die cast.

where H represents heads and T represents tails for the coin toss, and the numbers 1 through 6 represent the numbers on the die.

Each element in this sample space represents a possible outcome of the experiment, where the first element represents the outcome of the coin toss and the second element represents the outcome of the die cast. This sample space contains 12 possible outcomes, each with an equal probability of 1/12.

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Answer: To solve the system of equations using substitution, we'll start by rearranging one of the equations so that one of the variables can be expressed in terms of the other. In this case, we'll rearrange the second equation to find y in terms of x.

y = 2x + 4

Next, we'll substitute this expression for y into the first equation:

+3x + 5(2x + 4) = 7

Expanding the right-hand side:

+3x + 10x + 20 = 7

Combining like terms:

13x + 20 = 7

Subtracting 20 from both sides:

13x = -13

Dividing both sides by 13:

x = -1

Finally, we'll use the expression we found for y in terms of x to find the corresponding value of y:

y = 2x + 4

y = 2(-1) + 4

y = -2 + 4

y = 2

So the solution to the system is (x, y) = (-1, 2).

Step-by-step explanation:

The collection of 4 in, 5 in, and 10in of three side lengths will not form a triangle.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.

Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know, A triangle has a property that the sum of any two sides is always greater than the third side and the difference between any two sides is smaller than the third side.

From the given options if we observe the third option,

4 + 5 should be greater than 10 but it is not therefore, It is the correct option.

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If the ratio of winners to players remains the same as last year, the balloon dart booth can expect to have 85 winners among 204 players and lose $136.

A ratio compares two quantities or values. In this case, the ratio we are interested in is the ratio of winners to players.

Last year, out of 12 players, 4 popped 2 balloons and 1 player popped 3 balloons. Therefore, the total number of players who won prizes was 4+1=5. The ratio of winners to players is 5/12.

To calculate the number of winners this year, we can use the same ratio. If we assume that the ratio of winners to players is constant, we can set up the following proportion:

(winners/players) = (5/12)

Let's solve for the number of winners among 204 players:

(winners/204) = (5/12)

winners = (5/12) * 204

winners = 85

Therefore, we can expect 85 winners among 204 players if the ratio of winners to players remains the same as last year.

Now let's calculate the potential earnings or losses for the booth. Each player pays $1 for three darts, so the booth will earn 204*1 = $204.

Out of the 204 players, we expect 85 winners. Each winner receives a prize worth $4, so the total cost of prizes is 85*4 = $340.

The booth earns $204 and spends $340 on prizes, resulting in a loss of $136.

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Complete Question:

At the balloon dart booth, players are charged $1 for the chance to throw 3 darts. Prizes worth $4 each are awarded to players who pop at least 2 balloons. Last year, 4 out of 12 players popped 2 balloons, and 1 out of 12 players popped 3 balloons.

If the ratio of winners to players is the same this year and 204 people play the game, how much money will the booth earn or lose?

Using combinatorics, there are 1926 ways to distribute 9 different computer games among Wendy, Jim, and Hannah so that each person receives an odd number of games.

If each person receives an odd number of games, then the number of games must be 1, 3, 5, or 7. There are four odd numbers to choose from.

We can use combinatorics to find the odd number in each turn.

Let's consider each odd number in turn.

If each person gets 1 game, then we are looking for the number of ways to choose 3 games out of 9 to distribute. This is simply the number of combinations of 3 things taken from a set of 9 things, which is 9C3, or (9!)/(3!6!) = 84.

If each person gets 3 games, then we are looking for the number of ways to choose 3 games out of 9 to distribute to one person. Once those games have been chosen, we are left with 6 games to distribute to the other two people. The number of ways to choose 3 games out of 9 is again 84, but we must multiply this by the number of ways to choose 3 games out of the remaining 6. This is 6C3, or (6!)/(3!3!) = 20. Therefore, the total number of ways to distribute 9 games with each person getting 3 games is 84*20 = 1680.

If each person gets 5 games, then we are looking for the number of ways to choose 5 games out of 9 to distribute to one person. Once those games have been chosen, we are left with 4 games to distribute to the other two people. The number of ways to choose 5 games out of 9 is 126, and the number of ways to choose 4 games out of the remaining 4 is 1. Therefore, the total number of ways to distribute 9 games with each person getting 5 games is 126*1 = 126.

If each person gets 7 games, then we are looking for the number of ways to choose 7 games out of 9 to distribute to one person. Once those games have been chosen, we are left with 2 games to distribute to the other two people. The number of ways to choose 7 games out of 9 is 36, and the number of ways to choose 2 games out of the remaining 2 is 1. Therefore, the total number of ways to distribute 9 games with each person getting 7 games is 36*1 = 36.

Adding up the number of ways to distribute the games in each case, we get 84 + 1680 + 126 + 36 = 1926.

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The number of ways can a train made up consisting of tank cars, box cas and flat cars is 166320

Total number of tank cars = 4

Total number of Box cars = 112

Total number of flat cars = 5

Here we have to apply the concept of combinations

Number of ways of selecting 2 tank car from 5 = [tex]4C_2[/tex]

= 4! / 2!( 4-2) !

= 6

Number of ways of selecting 5 Box cars from 12 = [tex]12C_5[/tex]

= 12! / 5!(12-5)!

= 792

Number of ways of selecting 3 flat cars from 7 = [tex]7C_3[/tex]

= 7! / 3!(7-3)!

= 35

Number of possible ways can a train be made up = 6 × 792 × 35

Multiply the numbers

= 166320

Therefore, the number of possible ways is 166320

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The given question is incomplete, the complete question is :

Freight Train CarsIn a train yard there are 4 tank cars. 12 boxcars, and 7 flatcars. How many ways can a train be made up consisting of 2 tank cars, 5 boxcars, and 3 flatcars?

Option B. Bob continues his research because even though there is no linear relationship here, there could be a different relationship.

A correlation coefficient of 0.05 indicates a very weak linear relationship between the number of bedrooms in a home and its selling price. In other words, the number of bedrooms in a home does not seem to be a strong predictor of its selling price based on the data that Bob has analyzed. However, this does not mean that there is no relationship at all between these two variables. There could be a different type of relationship, such as a non-linear relationship, that is not captured by the linear correlation coefficient. It's possible that Bob will need to use other techniques, such as regression analysis, to better understand the relationship between the number of bedrooms in a home and its selling price.

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Inequality for the number of weeks lily will need to save to have at least $300 is 40 + 65*x >= 300  and  4 week needed to buy the cellphone.

The phenomenon of an unfair and/or unequal distribution of opportunities and resources among the people who make up a society is referred to as inequality. To different people and in various contexts, the word "inequality" may mean different things. Additionally, inequality has distinct yet overlapping social, economic, and geographic dimensions. The conflict between the normative concept of "deservingness" and the moral ethics of equity and social justice, on the one hand, and on the other, further complicates discussions about inequality. Inequalities that can be seen both within and between social groups have come to the forefront of public consciousness in recent years. The growing realization that inequality is systemic and ingrained in various socioeconomic and political structures is the result of this awareness. The contributions of geographers to the subject.

she needs to save at least $300 before she is able to buy the phone and

her grandfather gives her $40  so she need 300 - 40

and she earns $65 tutoring after school each week so until she will not have 260 she not able to buy.

40 + 65*x >= 300

65x >= 260

x >= 260/65

x >= 4

4 week needed.

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The number of student that pass mathematics is 52.

There are hundred students in a class who took an examination in Math and Science. 68 of them passed in Science, 32 passed in both Mathematics and Science, 12 students did not pass in any of the subjects. Therefore, the number of student that passes maths can be solved as follows:

U  = 100

n(S) = 68

n(M n S) = 32

n(M U S)' = 12

Let

x = number of student that pass maths

Therefore,

100 = 68 + x - 32 + 12

100 - 68 + 32 - 12 = x

x = 52

Therefore,

number of student that pass maths = 52

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The equivalent expression to -4x² + 2x - 5(1 + x) is given as follows:

-4x² - 3x - 5.

The expression for this problem is defined as follows:

-4x² + 2x - 5(1 + x)

To obtain the equivalent expression, we apply the distributive property to -5(1 + x) as follows:

-5(1 + x) = -5 - 5x.

Then the expression is given as follows:

-4x² + 2x - 5 - 5x.

Combining the like terms, we have that the expression is given as follows:

-4x² - 3x - 5.

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The algebraic expression that represents the amount that they still need to raise is given as follows:

A. 2x² - 9xy - 1.

The total amount that the three friends want to raise is defined as follows:

7x² - 4xy + 8.

The total amount raised is obtained adding the amounts raised by each of the friends, as follows:

5xy + 16 + x² + 4x² - 7 = 5x² + 5xy + 9.

Then the remaining amount to be raised is obtained by the subtraction of the total amount by the amount raised, as follows:

7x² - 4xy + 8 - (5x² + 5xy + 9) = 7x² - 5x² - 4xy - 5xy + 8 - 9

7x² - 4xy + 8 - (5x² + 5xy + 9) = 2x² - 9xy - 1.

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The Correct option Will be  An event is unusual if it has a low probability of occurring The choice of a cutoff should consider the context of the problem i.e. A.

The likelihood of an event is expressed by probability. The occurrence of a random event is the subject of this mathematical field of study. The value is between zero and one. In mathematics, probability is a tool for calculating the likelihood that certain events will take place.

Probability is the possibility of something happening. The probability distribution also makes use of this central concept in probability theory. We must first ascertain the total number of possibilities before calculating the likelihood that a specific event will occur.

When something unusual happens, it does not happen frequently in terms of sight or sound.

The probability that an event will occur P(E) = the number of positive outcomes divided by the total number of outcomes.

Now,

As an unusual event has low probability because it does not happen often and The same cutoff should not be used to detect unexpected events all of the time. Choosing a cutoff is subjective, and it should consider the repercussions of erroneously labelling an occurrence as rare.

Hence,

            An event is unusual if it has a low probability of occurring The choice of a cutoff should consider the context of the problem.

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The equations that are true of the values x, y, and z are :

The line that x degrees and 65 degrees is on, is a straight line which means that they will both add up to 180 degrees :

x degrees + 65 degrees = 180 degrees

x and z are congruent angles which means they are both the same angle measure.

y would be equal to 65 degrees because, just like x and z, y and 65 degrees are congruent.

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Options include:

The expression that represents the amount of money the friends still need to collect to meet their goal is 5x² - 7xy + 20. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

The four fundamental mathematical operations that can be used to express any real number are referred to as "arithmetic operations" in mathematics. The four operations are addition, subtraction, division, and multiplication.

We are given the total contribution goal as 8x² - 4xy + 9

Amounts collected by:

Martin = 3xy + 17

Tyreese =  x²

Braydon = 2x² - 6

So, the total amount collected till now is

(3xy + 17) + x² + (2x² - 6) = 3x² + 3xy - 11

Amount left to be collected is

⇒(8x² - 4xy + 9) - (3x² + 3xy - 11)

⇒8x² - 4xy + 9 - 3x² - 3xy + 11

⇒5x² - 7xy + 20

Hence, the expression is 5x² - 7xy + 20.

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Answer:

2. More time spent on homework results in higher grades.

Step-by-step explanation:

The more time spent on homework pays off in higher grades. If this is incorrect my apologies.

More weight on one side of a balance scale will tip the scale in that direction is relationship is an example of causation.

Causation is the capacity of one variable to influence another.

Causation means that a change in one variable results in a change in another variable.

More weight on one side of a balance scale will tip the scale in that direction.

In this case, adding more weight to one side of the scale will directly cause it to tip in that direction.

There is a correlation between the variables, but it's not necessarily a direct cause-and-effect relationship.

The more education a person has, the more they read suggests that education and reading are correlated, but having more education doesn't necessarily cause a person to read more.

Hence,  More weight on one side of a balance scale will tip the scale in that direction is an example of causation.

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[tex] \: [/tex]

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hope it helps!:)

Multiplying the total number of children by the fraction that like chocolate yields [tex]32(3/8)=12[/tex]

Answer:

JGK = 29 degrees

Step-by-step explanation:

i hope this helped :)

Answer:

the slope is -6/-5