What is 6/6 divided by 1/4??

The value of abc, rounded to the nearest tenth, is approximately 2.4.

To solve for the variable "abc" with given values of b = 63, a = 29, and c = 38, we can use the formula abc = (a + b) / c.

Substituting the given values into the formula, we get:

abc = (29 + 63) / 38

Simplifying the numerator, we have:

abc = 92 / 3

Now, let's divide 92 by 38 to find the value of abc:

abc ≈ 2.42105263158

Rounding to the nearest tenth, we get:

abc ≈ 2.4

Therefore, the value of abc, rounded to the nearest tenth, is approximately 2.4.

It's worth noting that the calculation assumes that "abc" is a single variable, as stated in the question. However, if "abc" is meant to represent the product of three variables (a, b, and c), the calculation would be different. In that case, the formula would be abc = a * b * c, and the solution would be abc = 29 * 63 * 38 = 678,954. However, without further context, it's difficult to determine the intended interpretation of "abc" in this case.

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Answer:

5f+45g

Step-by-step explanation:

Simplify

5*f(1) = 5f

5*g(9) = 45g

5f+45g

First, tan(θ) = sin(θ) / cos(θ), so if cos(θ) = 3/5 > 0 and tan(θ) < 0, then it follows that sin(θ) < 0.

Recall the Pythagorean identity:

sin²(θ) + cos²(θ) = 1

Then

sin(θ) = -√(1 - cos²(θ)) = -4/5

and so

tan(θ) = (-4/5) / (3/5) = -4/3

The remaining trig ratios are just reciprocals of the ones found already:

sec(θ) = 1/cos(θ) = 5/3

csc(θ) = 1/sin(θ) = -5/4

cot(θ) = 1/tan(θ) = -3/4

Answer:

Step-by-step explanation:

The answer is d

So the perfect square factors of 792 are 4, 9, 36, 144, 484, and 1089.

The prime factorization of 792 by dividing it by its smallest prime factor repeatedly:

792 ÷ 2 = 396

396 ÷ 2 = 198

198 ÷ 2 = 99

99 ÷ 3 = 33

33 ÷ 3 = 11

So the prime factorization of 792 is \(2^3 * 3^2 * 11.\)

To find the perfect square factors, we can look for pairs of factors where both factors have even exponents.

The factors of 792 are: 1, 2, 3, 4, 6, 8, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 132, 198, 264, 396, and 792.

The perfect square factors of 792 are:

\(2^2 = 4\\2^2 * 3^2 = 36\\2^2 * 11^2 = 484\\3^2 = 93^2 * 4^2 = 144\\3^2 * 11^2 = 1089\)

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Answer: 21√7

Step-by-step explanation: Hope this helps

Given the expression:

You know that the parentheses group the operations. In this case, it indicates that you must add 2 and 5, subtract 2 from 4, and then multiply the results, which gives you this value:

Since the value you need to obtain is 12, you need to order the operations in this form using parentheses:

Notice that you get:

Hence, the answer is:

Answer:

Plane 'S'

Step-by-step explanation:

Since a plane is a two dimensional surface on which infinitely many points may lie.

In the picture attached, two planes (two dimensional) have been given.

Plane S

Plane T

Plane 'S' contains three points A, B and C and plane 'T' contains points D and E.

Therefore, the plane which contains points A, B and C is Plane 'S'.

The plane that contains points A, B and C is the plane S.

A plane is simply a 2-dimensional surface or figure.

The above definition of a plane means that, there are only two planes in the given figure.

These planes are:

Hence, the plane which contains points A, B and C is plane S.

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Answer:

t = 2

Step-by-step explanation:

We know that both triangles are the same and have the same value so we know that 4 is the base and we want to find the value of t:

We know that:

\(4 = 2t\)

So let’s solve for t:

\(t = 2\)

We can conclude that t = 2 because ΔABC≅ΔKLM

b) the current number of shares is 1440, and the market value of your investment is $17,280.

To calculate the current number of shares and the market value of your investment, we need to take into account the stock splits and stock dividends.

Given:

Initial investment: $1,000

Initial number of shares: 200

Current price per share: $12

a. Calculate the current number of shares:

First, let's consider the stock splits and stock dividends:

1. 2-for-1 stock split:

This means that for each existing share, you now have two shares. So the number of shares is doubled.

New number of shares = Initial number of shares * 2 = 200 * 2 = 400 shares.

2. 20% stock dividend:

A 20% stock dividend means you receive an additional 20% of your current number of shares. To calculate the number of shares received:

Shares received = Current number of shares * (20% / 100%)

Shares received = 400 * (20 / 100) = 80 shares.

Total number of shares after the dividend = Current number of shares + Shares received = 400 + 80 = 480 shares.

3. 3-for-1 stock split:

This means that for each existing share, you now have three shares. So the number of shares is tripled.

New number of shares = Total number of shares after the dividend * 3 = 480 * 3 = 1440 shares.

The current number of shares you have is 1440.

b. Calculate the market value of your investment:

Market value = Current number of shares * Current price per share

Market value = 1440 * $12 = $17,280

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Answer:

approximately 4.36

Step-by-step explanation:

Simplify the expressions inside the parentheses first:

(10 + 43 - 5) = 48

(6 + 5) = 11

48 divided by 11 = 4.36 (rounded to two decimal places)

Therefore, (10 + 43 - 5) divided by (6 + 5) is equal to approximately 4.36.

The chi-square test for independence in a 2x2 contingency table is equivalent to comparing two proportions to determine if they are significantly different.

For a 2x2 contingency table, testing for independence with the chi-square test is the same as conducting a test comparing two proportions, specifically the two proportions of one variable (column) against the proportions of another variable (row).

1. Start with a 2x2 contingency table, which is a table that displays the counts or frequencies of two categorical variables. The table has two rows and two columns.

2. Calculate the marginal totals, which are the row and column totals. These represent the totals for each category of the variables.

3. Compute the expected frequencies under the assumption of independence. To do this, multiply the row total for each cell by the column total for the same cell, and divide by the total sample size.

4. Use the chi-square test statistic formula to calculate the chi-square value. This formula involves subtracting the expected frequency from the observed frequency for each cell, squaring the difference, dividing by the expected frequency, and summing up these values for all cells.

5. Determine the degrees of freedom for the chi-square test. In this case, it is (number of rows - 1) multiplied by (number of columns - 1), which is (2-1) x (2-1) = 1.

6. Compare the calculated chi-square value to the critical chi-square value from the chi-square distribution table at the desired significance level (e.g., 0.05).

7. If the calculated chi-square value is greater than the critical chi-square value, then the proportions of the two variables are significantly different, indicating dependence. If the calculated chi-square value is not greater, then the proportions are not significantly different, suggesting independence.

In summary, testing for independence with the chi-square test for a 2x2 contingency table is equivalent to conducting a test comparing two proportions, where the proportions represent the distribution of one variable against another.

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Answer:

n=5

Step-by-step explanation:

All of the bases are 9 so you can set the exponents equal to each other.

Exponents in a fraction mean subtraction so 7-n = 2

-n=-5

n=5

f ( x ) = x² + 144

=> x² + 144 = 0

=> ( x + 12 ) ( x - 12 ) = 0

=> x + 12 = 0 and x - 12 = 0

=> x = -12 and x = 12

So,the zeroes of f are -12 and 12 .

a) The expected value of a random variable is given by the formula: E(X) = np, where n is the size of the population and p is the probability of the event occurring.

In this case, n = 100 and p = 0.15 (since 15% of the population is left-handed). Therefore, E(X) = 100(0.15) = 15. So, we expect 15 students to be left-handed in this class.b)

The probability of exactly x successes in n independent trials, each with probability of success p, is given by the formula: P(X = x) = (nCx)(p^x)(1-p)^(n-x)where nCx = n!/(x!(n-x)!) represents the number of combinations of x elements that can be selected from a set of n elements.

In this case, n = 100, p = 0.15 and we want to find P(X = 12). So, P(X = 12) = (100C12)(0.15^12)(0.85^88) ≈ 0.147c) The probability of at least x successes in n independent trials, each with probability of success p, is given by the formula:P(X ≥ x) = Σ(nCx)(p^x)(1-p)^(n-x) from x to n.

In this case, n = 100, p = 0.15 and we want to find P(X ≥ 10). So, P(X ≥ 10) = Σ(100Ck)(0.15^k)(0.85^(100-k)) from k = 10 to k = 100. Using a calculator, we find that P(X ≥ 10) ≈ 0.972.

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the equation of the line is: 18y = 2x + 3

The slope-intercept form of the equation of a line is:

y = mx + c

Where m is the slope

and c is the intercept

Slope, m = 1/9

Intercept, c = 1/6

Substituting the parameters above into the given equation:

Answer:

4

Step-by-step explanation:

Solving:

Checking:

Answer:

Harry needs to make 12 potions to get an A.

Step-by-step explanation:

He currently has a D

+ 4 = C

+ 4 = B

+ 4 = A

4 + 4 + 4 = 12 potions

So, Harry needs to make 12 potions to get an A in his potions class.

The point (9, -7) is the only solution to the system of linear inequalities given.

To determine which point would be a solution to the system of linear inequalities, let's substitute the given points into the inequalities and see which point satisfies both inequalities.

The system of linear inequalities is:

y > -4x + 6

y > (1/3)x - 7

Let's test each given point:

For the point (9, -7):

Substituting the values into the inequalities:

-7 > -4(9) + 6

-7 > -36 + 6

-7 > -30 (True)

-7 > (1/3)(9) - 7

-7 > 3 - 7

-7 > -4 (True)

Since both inequalities are true for the point (9, -7), it is a solution to the system of linear inequalities.

For the point (-12, -2):

Substituting the values into the inequalities:

-2 > -4(-12) + 6

-2 > 48 + 6

-2 > 54 (False)

-2 > (1/3)(-12) - 7

-2 > -4 - 7

-2 > -11 (False)

Since both inequalities are false for the point (-12, -2), it is not a solution to the system of linear inequalities.

For the point (12, 1):

Substituting the values into the inequalities:

1 > -4(12) + 6

1 > -48 + 6

1 > -42 (True)

1 > (1/3)(12) - 7

1 > 4 - 7

1 > -3 (True)

Since both inequalities are true for the point (12, 1), it is a solution to the system of linear inequalities.

For the point (-12, -7):

Substituting the values into the inequalities:

-7 > -4(-12) + 6

-7 > 48 + 6

-7 > 54 (False)

-7 > (1/3)(-12) - 7

-7 > -4 - 7

-7 > -11 (True)

Since one inequality is true and the other is false for the point (-12, -7), it is not a solution to the system of linear inequalities.

In conclusion, the point (9, -7) is the only solution to the system of linear inequalities given.

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Answer:

m∠R = 123°

m∠S = 91°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc

m of arc QRS = 2 m∠P = 2(57) = 114

Now m of arc SPQ = 360 - 114 = 246

So, m∠R = 1/2(246) = 123

m of arc RSP = 2 m∠Q = 2(89) = 178

m of arc PQR = 360 - 178 = 182

m∠S = 1/2(182) = 91

The constant of proportionality from the proportional relationship is 3/2

A proportional relationship is a mathematical relationship between two variables in which their ratio is always equal. In other words, if x and y are in a proportional relationship, then y/x is always equal to a constant value, called the constant of proportionality. This can be expressed mathematically as y = kx, where k is the constant of proportionality and x and y are the variables in the relationship.

To determine the constant of proportionality, we need to use the proportional relationship given.

y = kx

k = constant of proportionality

3/8 = k(1/4)

Solve for k

k = [(3/8) / (1/4)]

k = 3/2

k = 1.5

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Answer:

The answer is

C. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.

Step-by-step explanation:

In mathematics, mapping is used synonymously to a function, and a function is basically a relation between two values or expressions say y and x

like the difference equation relating y and x.

In a function, for every value of x plugged into the function there is always a corresponding value of y.

Example.

Given the function

y=2x+5.

find the value of y when x=0

we are going to substitute x=0 and solve

y=2(0)+5

y=5

so for x=0 y=5

Answer:

Solution given:

equation of line j is:

y=2x+8

comparing above equation with y=mx+c

we get

m=2

let slope of another line k be M

since lines are perpendicular

their product is -1

so

m *M=-1

2M=-1

M=-½

since it passes from (6,-6)

we have

(y-y1)=M(x-x1)

(y+6)=-½(x-6)

2y+12=-x+6

x+2y+12-6=0

x+2y+6=0 is a required equation of line k.

Answer:

\( \displaystyle y = - \frac{1}{2} x - 3\)

Step-by-step explanation:

we are given that,

\( \displaystyle E _{ j}: y = 2x + 8\)

and it's perpendicular to \(E_k\)

since \(E_k\) is perpendicular to \(E_j\) the slope of the equation of k has to be -½

because we know that

\( \displaystyle m_{ \text{perpendicular}} = - \frac{1}{m}\)

we are also given a point where the perpendicular line passes as we got the slope and a point we can consider using point-slope form of linear equation to figure out the perpendicular line

remember the point slope form

\( \displaystyle y - y_{1} = m(x - x_{1})\)

we got that, y1=-6,x1=6 and m=-½ thus,

substitute:

\( \displaystyle y - ( - 6)= - \frac{1}{2} (x - 6)\)

remove parentheses:

\( \displaystyle y + 6= - \frac{1}{2} (x - 6)\)

distribute:

\( \displaystyle y + 6= - \frac{1}{2} x + 3\)

cancel 6 from both sides:

\( \displaystyle y = - \frac{1}{2} x - 3\)

hence, the equation of line k is y=-½x-3

Consequently, each variable's value for the parallelogram INDY that's diagonals intersect at P and have values of x = 2/3 and y = 8/9.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. a formula that expresses the connection between two expressions on either side of a sign.

Here,

If a parallelogram INDY has diagonals that intersects at P, then O bisects ID and YN

Hence IP = PD and NP = YP

IP=3x

DP = 6x - 2

NP = 3y and

YP=7x-2,

Substitute

3x = 6x-2

3x-6x = -2

-3x = -2

x = 2/3

x = 0.67

Also NP = YP

3y = 7x-2

3y = 7(2/3) - 2

3y = 14/3 - 2

3y = 14-6/3

3y = 8/3

9y = 8

y = 8/9

Hence the value of each variable for parallelogram INDY That has diagonals that intersect at P is x = 2/3 and y = 8/9.

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The other possibility is that the new battery will last longer on average than the known average battery life of the previous model. A one-sample t-test for a population mean is an appropriate test for the researchers' hypothesis. So, option B. is the correct choice.

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Answer:

Step-by-step explanation:

i think u got the question wrong cuz all ud have to do is add 2.4+9 which is 11.4 +4n

Answer: Correct answer is -1

Step-by-step explanation:

The mean weight of the three reserve players is 221 pounds.

We can begin by finding the total weight of the nine players:

9 players x 177 pounds per player = 1593 pounds

Next, we can find the total weight of all twelve players (nine players and three reserves):

12 players x 188 pounds per player = 2256 pounds

To find the total weight of the three reserve players, we can subtract the weight of the nine players from the weight of all twelve players:

2256 pounds - 1593 pounds = 663 pounds

Finally, to find the mean weight of the three reserve players, we divide their total weight by their number:

663 pounds / 3 players = 221 pounds

Therefore, the mean weight of the three reserve players is 221 pounds.

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