What is 27x45 and can you explain it

Trapezium T is reflected across line x = 3 to form trapezium U and reflected across line x = 7 to form tralpelzium V

The figure is attached

Reflection across a line is a geometric transformation which mirrors a point, shape or figure exactly across a pre-defined plane known as the Line of Reflection.

In other words, the size and general outline are kept in tact while orientations are adjusted. Furthermore, each corresponding point on either side of the Line of Reflection is found to be equidistant from the said axis and lies along a perpendicular line.

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Therefore, the rate of change, in cm per minute, of the height when the height is 6 cm is approximately -6 cm/min.

Given,The width of the box = 10 cm Length of the box = 17 cmThe volume of the box = 527 cubic cm/minWe need to find the rate of change, in cm per minute, of the height when the height is 6 cm.We know that the volume of the box is given as:V = l × w × h where, l, w and h are length, width, and height of the box respectively.It is given that the width and length are being held constant.

Therefore, we can write the volume of the box as

:V = constant × h Differentiating both sides with respect to time t, we get:dV/dt = constant × dh/dtNow, it is given that the volume of the box is decreasing at a rate of 527 cubic cm per minute.

Therefore, dV/dt = -527.Substituting the given values in the above equation, we get:

527 = constant × dh/dt

We need to find dh/dt when h = 6 cm.To find constant, we can use the given values of length, width and height.Substituting these values in the formula for the volume of the box, we get:

V = l × w × hV = 17 × 10 × hV = 170h

We know that the volume of the box is given as:V = constant × hSubstituting the value of V and h, we get:

527 = constant × 6 cm

constant = 87.83 cm/minSubstituting the values of constant and h in the equation, we get

-527 = 87.83 × dh/dtdh/dt = -6.0029 ≈ -6 cm/min

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Answer:

4.9 in

Step-by-step explanation:

6/11 = x/9

6/11 times 9 = x

x = 4.9

Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.

To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.

Given:

Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.

Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.

No information is provided about the defect rate of the third plant.

To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.

Let's calculate the overall probability:

Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)

Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)

To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:

Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)

Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)

Overall probability of selecting a defective MP3 player is given by:

Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)

Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%

Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.

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Answer: Red

Step-by-step explanation: simple look at which one is in the middle the middle of 20 and 30 is 25 simple hoped it helped

Answer:

36

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

because am very good at math

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Answer:

\( - 3x + 4y = 24 \\ 3x - 4y = - 24 - - - (a) \\ 6x + 2y = - 18 - - - (b) \\ 2 \times (a) - (b) : \\ = > 0x - 10y = - 30 \\ 10y = 30 \\ y = 3 \\ \\ 3x = - 12 \\ x = - 4 \\ { \boxed{x = - 4}} \: \: \\ { \boxed{y \: = \: 3}}\)

Answer:

Step-by-step explanation:

You have to assume each roll is independent. The probability of rolling a fair die is 1/6. When you roll the die, you only care about 2,4,5, and 6 since you do not want to get 1 or 3. So the probability is of getting a 2,4,5 and 6 is 4/6.

You could of also see it as the probability of NOT getting a 1 or 3 is:

\(1-\frac{2}{6} =\frac{4}{6}=\frac{2}{3}\)

Now you roll the die 4 times with each success being 2/3

\(\frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3} =(\frac{2}{3})^4=.197530864\)

Answer: 35 , 14

Step-by-step explanation:

[3(-2)^2-4 ]+[8 (3)-3]                     [8(3)-3] -[ 3(-1)^2-4]

35                                                      14

The mean number of defective bulbs is 40 and the variance for the distribution of defective bulbs is 36.0.

Given that, 10% of bulbs produced by a factory are defective. A sample of 400 bulbs is taken.

The number of defective bulbs is a binomial distribution, as it is a sample of bulbs with a probability of 10% of being defective. The mean number of defective bulbs is P×N = 0.1 × 400 = 40.

Therefore, option C is the correct answer.

The variance of a binomial distribution = Npq, where p = probability, q = 1-p, N = sample size, and p and q are 0.1 and 0.9 respectively. Hence, the variance = 400 × 0.1 × 0.9 = 36.0.

Therefore, option A is the correct answer.

Therefore, the mean number of defective bulbs is 40 and the variance for the distribution of defective bulbs is 36.0.

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Answer: 2/90 = 1/45

Step-by-step explanation:

Answer:

i dont know bro

Step-by-step explanation:

Answer:

10.6

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

Green:  9 - 2(-3) = 9 + 6 = 15

Red:  -2(-3) + 4 = 6 + 4 = 10

Dark blue:  7x + 5 = 19

7x = 19 - 5 = 14

x = 14/7 = 2

Light blue:  6x + 3 = 21

6x = 21 - 3 = 18

x = 18/6 = 3

Red(Lt blue) - Dk blue + Green = 10(3) - 2 + 15 = 43

Answer:

The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.

The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.

So, the impulse on the ball is -80 kg m/s.

The selection can be made in 15 different ways, taking into account the distinct combinations of a boy and a girl from the given group of 5 boys and 3 girls.

To determine the number of ways a boy and a girl can be selected from a group of 5 boys and 3 girls to attend a conference, we can use the concept of combinations.

The number of ways to choose one boy from 5 boys is 5C1, which is equal to 5. Similarly, the number of ways to choose one girl from 3 girls is 3C1, which is equal to 3.

To select one boy and one girl, we need to multiply the number of ways to choose a boy and a girl together. Using the multiplication principle, we multiply the number of choices for each category: 5C1 * 3C1 = 5 * 3 = 15.

Therefore, there are 15 ways to select a boy and a girl from the given group to attend the conference.

Each combination represents a unique pair consisting of one boy and one girl. For example, if the boys are labeled as B1, B2, B3, B4, and B5, and the girls are labeled as G1, G2, and G3, the possible pairs could be (B1, G1), (B1, G2), (B1, G3), (B2, G1), (B2, G2), and so on, up to (B5, G3).

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Robert's dimes are anywhere between 17 and 19.

Nickels

are worth 5 cents, and

dimes

are worth 10 cents. Since Robert has 10 nickels, he already has 50 cents. To reach a minimum of $2.20, or 220 cents, Robert needs at least 170 more cents. Because each dime is worth 10 cents, he needs a minimum of 17 dimes. If he has a maximum of 29 coins in total, subtracting the 10 nickels means that he can have up to 19 dimes. So, Robert could have anywhere between 17 and 19 dimes.

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Step-by-step explanation:

PLot two pioints....connect the points

Use the y -intercept given   y = -1 when x = 0     Plot that

when   y = 0   x = 1/2      plot that

draw line through these points :

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 Section on the spinner and three spins:

4^3=64

The number of individual outcomes when spinning the wheel three times is 64 times

In mathematics, a base number raised to an exponent is referred to as a power. The base number is the factor that is multiplied by itself, and the exponent indicates how many times the base number has been multiplied.

A power exists as the product of multiplying a number by itself. Usually, power is illustrated with a base number and an exponent. The base number tells what number exists being multiplied. The exponent, a small number written beyond and to the right of the base number, tells how many times the base number exists being multiplied.

Given

Sections = 4

no. of spinners per player = 3

no. of spinners per player per game = 4 ³ = 4 * 4 * 4 = 64

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The left side of the expression has a denominator of 4 while the right side has a denominator of 1.

To start with, we have to find the LCM (lowest common multiple) for both sides of the expression

The LCM of 4 and 1 is 4.

When dealing with fractions, the first step after finding the LCM is;

Left side:LCM divided by left denominator times left numerator PLUS

Right side:LCM divided by right denominator times right numerator.

Thus we now have the following;

(4/4) * (-2 + 2*3) + (4/1) * 4*(-2)

1 * (-2 + 6) + 4 * (-8)

4 + (-32)

-28

Answer:

(4,3)

Step-by-step explanation:

Since its a positive translation you add 3 to 1 because you are going to the right. You coordinates of that step then becomes (4,-3). Then you need to translate up 6 units. Because the y is -3 you add 3 to make 0, then 3 more (3+3=6) to get positive 3. You then end up with the coordinates (4,3)

Answer:Equation (1):

-8x + 4y = 24

Equation (2):

-7x + 7y = 28

Simplify the equation:

Equation 1 can be simplify by 4:

-2x + y = 6

Equation 2 can be simplify by 7:

-x + y = 4

Add x to both sides of the equation 2:

y = x + 4

Substitute equation 2 into 1:

x + 4 - 2x = 6

x - 2x = 6 - 4

- x = 2

x = - 2.

Substitute - 2 for x in equation 2:

y = - 2 + 4

y = 2.

Therefore, (x, y) = (- 2, 2)

The phrase "all free variables of a formula ϕ(u1, . . . , un) are among u1, . . . , un" refers to a property of a logical formula ϕ with variables u1, u2, ..., un. In logic and formal systems, variables are used to represent unspecified elements or objects.

When a variable is considered "free" in a formula, it means that it is not bound by any quantifiers or other logical operators in the formula. In other words, it is a variable that is not restricted in any way within the formula.

The given statement implies that all the free variables in the formula ϕ(u1, . . . , un) are explicitly listed among the variables u1, u2, ..., un. In other words, the formula ϕ does not contain any additional free variables beyond the ones explicitly mentioned.

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In the following option n log n seems to grow the fastest amongst all according to the size of inputs.

In computer science and mathematics, the running time or complexity of an algorithm is often measured in terms of the size of the input, usually denoted by n. The notation O(f(n)) is used to describe the upper bound on the running time of an algorithm, where f(n) is a function of n.

In the context of comparing growth rates of functions, we usually only consider the highest-degree term of the function. For example, we would say that f(n) = n^2 + n grows as O(n^2), because n^2 grows much faster than n and dominates the running time as n grows larger.

Now, let's consider the functions n, n / log n, n - log n, n log n, and n^2. As n grows, each of these functions grows at a different rate.

1. n grows linearly with n, so it takes more time as the size of the input grows.

2. n / log n grows faster than n, but slower than n log n. This is because logarithms grow much slower than linear functions, but as n grows larger, the difference between n and log n becomes larger, so n / log n grows faster.

3. n - log n grows slower than n and n / log n, because log n grows much slower than n, so as n grows larger, n - log n becomes closer to n.

4. n log n grows faster than n, n / log n, and n - log n, but slower than n^2. This is because logarithms grow much slower than linear functions, but as n grows larger, the difference between n and log n becomes larger, so n log n grows faster.

5.n^2 grows much faster than n, n / log n, n - log n, and n log n, so as n grows larger, n^2 becomes much larger than any of these functions.

So, of the options given, n log n grows the fastest, meaning that an algorithm that takes time proportional to n log n will become slower faster as the size of the input grows than an algorithm that takes time proportional to n, n / log n, or n - log n.

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Answer:

a will be the correct answer bro be sure

The Regression equation best fits these data is ŷ = -0.58939x + 12.52235

We have the table as from which can be calculated as

Sum of X = 2

Sum of Y = 99

Mean X = 0.25

Mean Y = 12.375

Sum of squares (S\(S_x\)) = 89.5

Sum of products (SP) = -52.75

As, Regression Equation

ŷ = b x + a

where b = SP/S\(S_x\)

b = -52.75/89.5

b = -0.58939

and, a = MY - b MX

a = 12.38 - (-0.59)(0.25)

a = 12.52235

So, the required equation is ŷ = -0.58939x + 12.52235

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$225 was earned from the craft sales

and $40 was earned from the play.

Given, During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play admissions.

Of each dollar earned, $0.15 came from games. Craft sales earned 3 times as much as games. Food sales were 4 times the amount earned from the play.

Let the amount earned by play be x,

Now, Games earned = 0.15×500 = $75

Also, crafts earned 3×75 = $225

Now, as play earned x, then food earned 4x.

According to question,

x + 75 + 225 + 4x = 500

5x + 300 = 500

5x = 200

x = 40

So, the amount earned by Play be, $40

and the amount earned by Food be $160.

Hence, $225 was earned from the craft sales

and $40 was earned from the play.

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