Find the value of n in 2m-3n = 6 and 2m + 6n = 12.​

So, the inputs for which the output of function f(x) is 2 are x = 3√2 or x = -3√2.

an equation is a mathematical statement that asserts the equality of two expressions. it typically consists of two sides, the left-hand side and the right-hand side, separated by an equal sign (=). the expressions on both sides can contain variables, constants, operations, and functions, and the equation is usually solved by finding the values of the variables that make both sides of the equation equal to each other. equations can be used to model real-world phenomena, analyze data, and solve problems in various fields such as physics, engineering, finance, and statistics.

To solve for x when \(y = f(x) = 1/2 x^2 - 7\), we can set y to 2 and solve for x:

\(2 = 1/2 x^2 - 7\)

Adding 7 to both sides, we get:

\(9 = 1/2 x^2\)

Multiplying both sides by 2, we get:

\(18 = x^2\)

Taking the square root of both sides (remembering to consider both the positive and negative roots), we get:

x = ±√18 = ±3√2

So, the inputs for which the output of f(x) is 2 are x = 3√2 or x = -3√2.

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If three balls are picked at random from the box, the chance of obtaining two white balls and one black ball is 1/28.

The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the probability formula. The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Here,

a box contains 7 white balls and 8 black balls. if 3 balls are drawn from the box at random,

=2/7*1/8

=1/28

The probability of drawing 2 white balls and 1 black ball is 1/28 if 3 balls are drawn from the box at random.

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Answer:

subtract 1/2x from 2/3x

Step-by-step explanation:

Step-by-step explanation:

doing whole question

12+7=23⋅−6

12+7=23⋅−6

12+7=23⋅−6

2+7=23⋅−6

2+7=23−6

2+7=23−6

2+7=23−6

2+7−7=23−6−7

Subtract the numbers

2=23−13

2=23−13

2⋅3⋅2=2⋅3(23−13)

Cancel multiplied terms that are in the denominator

Multiply the numbers

Distribute

Combine multiplied terms into a single fraction

Multiply the numbers

Cancel terms that are in both the numerator and denominator

3=4−78

4

4x4x

 from both sides of the equation

3=4−78

3x=4x-783x=4x−78

3−4=4−78−4

Combine like terms

−=−78

−=−78

-x=-78−x=−78

−−1=−78−1

Cancel terms that are in both the numerator and denominator

Divide the numbers

=78

Answer1000

Step-by-step explanation:

Answer:

The answer is 6

Step-by-step explanation:

6 - 3n + 3n

6  -   6n

 6

Answer

2.5w+4=2u

3. z+6*y

4. 2.5/a=4

Step-by-step explanation:

sorry about the other ones they were confusing hope these are right if not im  so sorry

Answer:

you can get his evidence from 2,3, 4, 5. and 6

Answer: the answer is 4-7

Answer:

lines a and b are parallel because their corresponding angles are congruent.

Step-by-step explanation:

Since there are two angles equal to 110 in the same position, lines a and b are parallel because their corresponding angles are congruent.

Answer: Elisa made the greater number of withdrawals

Step-by-step explanation:

140/20=7

270/45=6

Answer:

You end at (5, 5)

Step-by-step explanation:

We know that;

x-value = 4

y-value = 10

If u move 1 unit to the right that means 1 to the x-value, and going down 5 means subtracting 5 from y-value, therefore:

Final x-value = 4 + 1 = 5

Final y-value = 10 - 5 = 5

Final coordinate: (5, 5)

Answer:

2. 3 feet

Step-by-step explanation:

so basically you put

1/6 = 6/x

x = 36in

36 divided by 12 = 3ft

Answer:

(3+5ab^2)*2ab^2

Explanation: To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides

Answer:

(3+5ab^2)*2ab^2

Step-by-step explanation:

The probability that the first card is a king and the second card is a king, given that the sampling is done without replacement, is 1/221 or approximately 0.45%.

When two cards are randomly selected from a standard 52 card deck without replacement, there are 52 possible choices for the first card and 51 possible choices for the second card. The probability of selecting a king on the first draw is 4/52, or 1/13, since there are four kings in the deck.

If a king is drawn on the first draw, there will be 51 cards remaining in the deck, including three kings. So, the probability of drawing a king on the second draw, given that a king was drawn on the first draw, is 3/51.

To find the probability of both events occurring, we multiply the probabilities:

P(First card is a king and second card is a king) = P(First card is a king) x P(Second card is a king given that the first card was a king)

P(First card is a king and second card is a king) = (4/52) x (3/51) = 1/221

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Cohen's conventions for interpreting d, this effect is small. Therefore, the correct answer is a. small.

According to Cohen's conventions for interpreting the effect size (d), the effect described in the study is considered "small." Cohen's conventions provide a general guideline for categorizing the magnitude of an effect size.

In this case, the effect size (d) is calculated to be 0.02. Cohen's conventions typically classify effect sizes as follows:

Small effect: d = 0.2

Medium effect: d = 0.5

Large effect: d = 0.8

Since the effect size of 0.02 is significantly smaller than the threshold for a small effect (0.2), it falls into the "small" category. This means that the difference in the number of words uttered per day between men and women, as reported in the study, is relatively small or negligible in practical terms.

Therefore, the correct answer is a. small.

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The product of 56.2 and 9.2057 to the appropriate number of significant digits is 517.00.

The significant digits in a number are the digits that contribute to its precision. When multiplying numbers, the result should be rounded to the same number of significant digits as the factor with the least number of significant digits.

In this case, 56.2 has three significant digits, and 9.2057 has five significant digits. The factor with the least number of significant digits is 56.2. Therefore, the product should be rounded to three significant digits.

Multiplying 56.2 by 9.2057 gives 517.38134. Rounding this result to three significant digits gives us 517.00. The trailing zeros after the decimal point are significant in this case as they indicate the precision of the result. Hence, the correct answer is 517.00.

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Answer:

A

Step-by-step explanation:

Revenues and expenses are closed every year so that the profit or loss can be determined for the yearly period.

Answer:

X⁰ = 240°

y = 8 cm

Step-by-step explanation:

explanation provided in image shown and the proving of each angle properties are labelled with brackets(meaning they are legitimate so dont worry )

happy learning !

The expression that is equivalent to 3(x − 4) + 4(y + 2) is 3x + 4y

From the question, we have the following parameters that can be used in our computation:

3(x − 4) + 4(y + 2)

Open the brackeys

So, we have

3x - 12 + 4y + 12

Evaluate

3x + 4y

Hence the expression is 3x + 4y

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The probability of flipping a coin and drawing a card with an odd number on it is 2/5 or 0.4

To find the probability of flipping a coin and drawing a card with an odd number on it, we need to first determine the individual probabilities of each event.

The probability of flipping a coin and getting heads is 1/2 or 0.5.
The probability of drawing a card with an odd number on it is 2/5 or 0.4 since there are two odd numbers (1 and 3) out of the total of five cards (1, 2, 3, 4, 5).
To find the probability of both events occurring together, we multiply the probabilities.
P(heads and odd number) = P(heads) x P(odd number)
= 0.5 x 0.4
= 0.2
Therefore, the probability of flipping a coin and drawing a card with an odd number on it is 0.2 or 2/10.

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The probability of the coin landing on heads is 1/2 since there are only two possible outcomes. The probability of drawing a card with an odd number is 3/5 since there are three odd numbered cards out of the five. Therefore, the probability of the coin landing on heads and drawing a card with an odd number is 3/10.

To find the probability of both events happening together, we need to multiply the probabilities: 1/2 * 3/5 = 3/10
Therefore, the probability of the coin landing on heads and drawing a card with an odd number is 3/10.
It's important to note that probability is always a number between 0 and 1, with 0 meaning that the event will definitely not happen and 1 meaning that the event will definitely happen. In this case, the probability is less than 1, which means that there is a chance that the event may not occur. It's also worth noting that when we are calculating probabilities, we assume that each event is independent of the other, meaning that the outcome of one event does not affect the outcome of the other.

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Answer:

Intergers

Step-by-step explanation:

A subset is a part of a whole math concept, idea, or sample space.

We need to find what math concept -5 is apart of.

-5 is part of the All Real Numbers section.

-5 is also part of integers as well.

Answer:

Sister = 15 years old

Brother = 12 years old

Step-by-step explanation:

Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X

Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have

B = 3X

S = 4X

B-3 = (3/4)(S-3)

Therefore, we have a system of equations

B = (4/5)S

B-3 = (3/4)(S-3)

Substitute (4/5)S for B into the second equation to only have one variable

(4/5)S - 3 = (3/4)(S-3)

(4/5)S - 3 = (3/4)S - 9/4

add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient

(1/20)S = 3/4

multiply both sides by 20 to isolate the S

S = 15

B = (4/5)S = 12

Answer: 3:1

Step-by-step explanation:

Let the cost of a game ticket be g.

Let the cost of a ride ticket be r.

The information given can be formed into an equation which will be:

3g + 4r = 39

Since Five ride tickets cost $15, the cost of each ride ticket will be:

= $15/5

= $3.

Therefore, 3g + 4r = 39

We put the value of r = $3 into the equation

3g + 4(3) = 39

3g + 12 = 39

3g = 39 - 12

3g = 27

g = 27/3

g = 9

The cost of a game ticket is $9

The ratio of the cost of a game ticket to the cost of a ride ticket will be:

= 9/3

= 3/1

= 3:1

The ratio is 3:1

Answer:

the chances of her picking a yellow one is 6 in 35

Step-by-step explanation:

Given:

The angle is 1591 degrees.

To find the coterminal angle:

First, we need to write the given angle in terms of 360 degrees.

We can write,

So, the coterminal angle of 1591 degrees is 151 degrees.

Step-by-step explanation:

3x-18+2x+27=6x-23

5x+9=6x-23

-x=-32

x=32

3x-18=3×32 -18

=78°

2x+27=2×32+27

=91°

6x-23=6×32 -23

=169°

The product of (−21)(19)(−5) is 1995.

What is product?

In mathematics, the product is the result of multiplying two or more numbers or expressions together. The product is an important concept in mathematics and is used in many areas, including arithmetic, algebra, calculus, and geometry.

The problem asks us to find the product of (−21)(19)(−5). To solve this problem, we can multiply the three numbers together in any order because multiplication is associative.

So, let's multiply the numbers from left to right:

(−21)(19)(−5) = (−399)(−5)

We then simplify this expression by multiplying -399 and -5 together:

(−399)(−5) = 1995

Therefore, the product of (−21)(19)(−5) is -1995.

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Answer:\(x<−95+3y5\)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

In the coordinate axis the point D is located at the position of (5,-2) .

In the given graph of the coordinate axis , we can see that the four points A,B,C and D are located

The coordinates of each point are :

A (-5,-2)

B (-2,5)

C (2,-5)

D (5,-2)

Therefore using the given abscissae and ordinate of the points the point that is located at (5,-2) is D.

A coordinate system in geometry is a way to use one or more integers, or coordinates, to determine the exact placement of points or other geometrical objects on a manifold, such Euclidean space.

The order of the coordinates is crucial, and they are frequently identified by their position in an ordered tuple or by a letter, such as "the x-coordinate." The coordinates are often real values in elementary mathematics, but they could also be complex numbers or parts of a more abstract system, such a commutative ring.

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At the head of the Sparta government were Two kings and five ephors.

Who were Sparta's two kings?

Kassandra approached Archidamos and Pausanias, the Two Kings of Sparta, to restore the citizenship and their residence.

What kind of political system did the Spartans have?

At the head of the Sparta government were Two kings and five ephors.

Sparta – never ones to do anything by half – had two kings at all . The agenda for the apella was set by the gerousia and the ephors.

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