only 4 more left........................

A: 95 people dislike both

B: 81

C: 21

Answer:

Thanks for the points!!

Step-by-step explanation: dawggggggg

Answer:

3b/2 + 3

Step-by-step explanation:

The formula to calculate perimeter of rectangle is 2l + 2w

The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2

Using the formula to calculate perimeter you can substitute and calculate

p= 2l + 2w

p= 2(b/4 + 1/2) + 2(b/2 + 1)

p= 2b/4 +2/2 + 2b/2 +2

p= 1/2b + 1 + b + 2

p= 3/2b + 3

Simplified it's 3b/2 +3

After answering the presented question, we can conclude that equation 0.1492063492063492 * 100% Percentage increase = 14.9% As a result, the average yearly pay has increased by 14.9%.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the number "9". The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

To determine the % increase in mean annual wage, find the difference between the new and old salaries, divide it by the old salary, and multiply by 100.

(new salary - previous salary) / old salary * 100% = percentage increase

(28960 - 25200) / 25200 * 100% Percentage increase = 0.1492063492063492 * 100% Percentage increase = 14.9%

As a result, the average yearly pay has increased by 14.9%.

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The standard error of the mean represents a measure of the precision of the sample mean as an estimate of the population mean.

It is the standard deviation of the sampling distribution of the means, and it decreases as the sample size increases. In other words, it reflects how much the sample mean is likely to deviate from the true population mean due to chance variation. On the other hand, the standard deviation represents a measure of the variability or dispersion of the data points around the mean. It is the square root of the variance, and it indicates how much the observations deviate from the mean on average. Thus, while the standard error of the mean focuses on the accuracy of the estimate, the standard deviation describes the spread of the data.

The standard error of the mean represents a measure of the variability of the mean estimates across different samples, while the standard deviation represents a measure of the variability of individual data points within a single sample. The standard error helps to determine the precision of the mean estimate and is influenced by both the standard deviation and the sample size. In contrast, the standard deviation provides insight into the dispersion of data points around the mean within a given sample, and is useful for understanding the spread of the data. Both metrics are important in statistical analysis and hypothesis testing.

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The correct option regarding whether the opposite of a number is a negative number is given as follows:

C) False; counterexample: -5.

To opposite of a number is also called it's additive inverse, that is, the absolute number is kept while the signal is exchanged, from positive to negative and from negative to positive. Hence:

Thus, the opposite of a number is not always a negative, it is only negative if the number is positive, for example.

None of these are counterexamples, as they have negative opposites, hence the correct option is given by:

C) False; counterexample: -5.

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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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Answer:

-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

-1 3/4 = -1.75.

Answer:

10

Step-by-step explanation:

product means multiplication, so

2 x 5 = 10

(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

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We want to find an equation and the sixth term of the given geometric sequence.

The equation is: \(a_{n} = 4*a_{n}-1\) and the sixth term is equal to 512

In a geometric sequence, each term is a constant times the previous term, so the general relation is:

\(a_{n} = k*a_{n}-1\)

Here we can use any pair of consecutive terms to find the value of the constant, for example, if we use the first two, we have:

\(8 = k*2\\8/2 = 4 = k\)

Now we know the value of the constant, then the general formula is: \(a_{n} = 4*a_{n}-1\)

Now we can use this to get the sixth term:

\(a_{6} = 4*a_{5}-1=4*128 = 512\)

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The area of a shape is the amount of space it occupies.

The area of the garden is 529.2 square feet

The given parameters are:

Shape: Rectangle

Dimension: 21ft by 25.2ft

The area of a rectangle is:

\(\mathbf{Area = Length \times Width}\)

So, we have:

\(\mathbf{Area = 21 \times 25.2}\)

\(\mathbf{Area = 529.2}\)

Hence, the area of the garden is 529.2 square feet

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Given that Jessie's grandfather bought her a new aquarium with dimensions 12 × 27 cm base and 184 cm height.

The question is to calculate the amount of water the new aquarium can hold. We need to use the formula to calculate the volume of a rectangular prism:

Volume = length x width x height or

V = lwh

The length and width of the base of the aquarium is given as 12cm and 27 cm respectively.

Therefore, we substitute the given values into the formula:V = 12 × 27 × 184V = 55968 cubic centimeters .

The capacity of the aquarium is 55,968 cubic centimeters or 55.968 liters because 1 cubic centimeter equals 1 milliliter and 1 liter is equal to 1000 milliliters.

Given that Jessie's grandfather bought her a new aquarium with dimensions 12 × 27 cm base and 184 cm height.

The question is to calculate the amount of water the new aquarium can hold.

We need to use the formula to calculate the volume of a rectangular prism:

Volume = length x width x height or

V = lwh

The length and width of the base of the aquarium is given as 12cm and 27 cm respectively.

Therefore, we substitute the given values into the formula:

V = 12 × 27 × 184V

= 55968 cubic centimeters .

The capacity of the aquarium is 55,968 cubic centimeters or 55.968 liters because 1 cubic centimeter equals 1 milliliter and 1 liter is equal to 1000 milliliters.

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Answer:

—4.5 and 0

Step-by-step explanation:

when x=—4.5 and x=0 y is included in the domain.

The house was in the shape of an octagon, with eight separate bedrooms on each side.

The house described in the statement has an octagonal shape. An octagon is a polygon with eight sides, characterized by its eight equal angles. In this case, each side of the house corresponds to one of these angles, resulting in eight separate bedrooms on each side of the octagonal structure.

The choice of an octagon as the shape of the house can have various implications. Octagonal buildings are often admired for their unique architectural design and aesthetic appeal. The shape provides symmetry and balance, allowing for an interesting and visually pleasing structure. Additionally, an octagonal layout can offer practical advantages in terms of space utilization and room distribution. In the case of the house described, each side of the octagon accommodates a separate bedroom, providing privacy and ample living space for its occupants. The symmetrical arrangement of the bedrooms around the central area of the house could create a harmonious and well-organized living environment. Overall, the octagonal shape of the house with eight separate bedrooms on each side offers both architectural and functional benefits.

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Step-by-step explanation:

You can actually factorise this equation like how you factorise quadratic equations,

LHS = sin⁴a + 2sin²a cos²a + cos⁴a

= (sin²a + cos²a)²

Again, by using the identity sin²a + cos ²a = 1,

= (1)²

= 1

= RHS (Proven)

The set X defined using set builder notation is X = {1, 2, 3}.

To determine the elements of set X, we need to find the values of 'a' that satisfy the given conditions.

Condition 1: a^2 + 3a - 4 ≥ 0 To find the values of 'a' that satisfy this inequality, we can factorize the quadratic equation: (a + 4)(a - 1) ≥ 0

The critical points are when (a + 4) = 0 and (a - 1) = 0. So, a = -4 and a = 1.

We can now create intervals based on these critical points: For a < -4, (a + 4) < 0 and (a - 1) < 0, so the inequality is not satisfied. For -4 ≤ a ≤ 1, (a + 4) ≥ 0 and (a - 1) < 0, so the inequality is satisfied. For a > 1, (a + 4) ≥ 0 and (a - 1) > 0, so the inequality is satisfied.

Condition 2: -6 ≥ a^2 - 5a Rearranging the inequality, we get: a^2 - 5a + 6 ≤ 0

We can factorize the quadratic equation: (a - 2)(a - 3) ≤ 0

The critical points are when (a - 2) = 0 and (a - 3) = 0. So, a = 2 and a = 3.

We can now create intervals based on these critical points: For a < 2, (a - 2) < 0 and (a - 3) < 0, so the inequality is not satisfied. For 2 ≤ a ≤ 3, (a - 2) ≥ 0 and (a - 3) < 0, so the inequality is satisfied. For a > 3, (a - 2) ≥ 0 and (a - 3) > 0, so the inequality is not satisfied.

Combining both conditions, we find that the values of 'a' that satisfy both conditions are 1, 2, and 3.

Therefore, the set X is X = {1, 2, 3}.

The set X defined using set builder notation is X = {1, 2, 3}.

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Answer: In summary, all integers can be classified as either positive, negative, or zero.

Step-by-step explanation:

There are three types of integers: positive integers, negative integers, and zero.

Positive integers: Positive integers are numbers greater than zero, such as 1, 2, 3, 4, and so on.

Negative integers: Negative integers are numbers less than zero, such as -1, -2, -3, -4, and so on.

Zero: Zero is an integer that is neither positive nor negative. It is the only integer that is neither positive nor negative, and it is often referred to as the "origin" on a number line.

In summary, all integers can be classified as either positive, negative, or zero.

Answer: The three types of integers are Zero (Neutral Integers), Negative Integers, and Positive Integers.

Step-by-step explanation:

Negative Integers are the ones that has a value less than zero, examples of these are -7, -8, -9.

Positive integers, on the other hand. Are the ones that has a value more than zero, examples of these are 10, 11, 12, 13.

Note: The key difference between Negative Integers and Positive Integers is that a negative integer has a "-" sign, while a positive integer does not.

Zero are the neutral integers which means that it's the integer that's in the middle of the positive and negative integers, it has neither a positive sign or a negative sign.

Another note: Integers do not include fractions or decimals, only whole numbers.

Answer:

the second one

Step-by-step explanation:

the independent number is the y intercept (where it touches the y-axis which would make the y-intercept 2) and the slope is 1/2 if you use rise/run. so it seems as if the equation is written in y=mx+b form. so the answer is y=1/2x+2

Car B will catch up with Car A at 4:45pm, after travelling for 2 5/8 hours (3 hours minus 1 hour minus 3/8 of an hour).

Car A leaves the Grand Canyon at noon and travels at 80 mph. At 3 pm, it stops for an hour. Car B leaves the Grand Canyon at 2 pm and travels at 90 mph without stopping.To calculate when Car B will catch up with Car A, we need to find the time difference between their departure times and the difference in their speeds.Car A leaves one hour before Car B, so we can subtract 1 hour from the total travel time. The difference in their speeds is 10 mph, which is equivalent to 1/8 of an hour for every hour of travel. Therefore, we can subtract 1/8 of an hour from the total travel time for every hour of travel.We can use these two deductions to calculate the total travel time: 3 hours - 1 hour - 3/8 of an hour = 2 5/8 hours. Therefore, Car B will catch up with Car A at 4:45pm.

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Answer:

25×2,06 5,2×7,6

4,002×35 45,07×5,1

103×2,12 3,02×0,25

12,5×11 7,52×6,002

Step-by-step explanation:

;lfk;dlj

The matrix A is not invertible.

A matrix is invertible if and only if it is square and its determinant is non-zero. In the given case, matrix A is a 5 × 5 matrix and can be written as A = BC, where B is a 5 × 4 matrix and C is a 4 × 5 matrix.

Since B is a 5 × 4 matrix and C is a 4 × 5 matrix, the product BC will be a 5 × 5 matrix, which is the same size as A. However, the rank of the product BC cannot be greater than the smaller of the ranks of B and C. Since B is a 5 × 4 matrix, its rank cannot be greater than 4, and similarly, the rank of C cannot be greater than 4. Therefore, the rank of the product BC cannot be greater than 4.

Since the rank of A is the same as the rank of BC, the rank of A cannot be greater than 4. However, for a 5 × 5 matrix to be invertible, its rank must be 5.

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The triangles are congruent using one of the congruence criteria, you can conclude that all corresponding sides and angles of the triangles are congruent.

To prove congruent triangles, you need to follow these steps:

1. Identify the given information in the problem about the triangles. Look for information about side lengths, angle

measures, or relationships between sides and angles.

2. Determine which congruence criterion applies to the given information.

There are five congruence criteria for triangles:

Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), and Hypotenuse-Leg

(HL) for right triangles.

3. Apply the congruence criterion to show that the triangles are congruent. This means providing evidence that the

corresponding sides and angles of the triangles are equal in measure.

4. Once you have shown that the triangles are congruent using one of the congruence criteria, you can conclude that

all corresponding sides and angles of the triangles are congruent.

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Sure! Here's the 99.5% confidence interval for the true population mean textbook weight: (49.433, 60.567) ounces.

To construct a confidence interval for the true population mean textbook weight, we can use the formula:

Confidence Interval = (sample mean) ± (critical value) * (standard deviation / √(sample size))

Given the information provided:

- Sample mean = 55 ounces

- Population standard deviation = 11.4 ounces

- Sample size = 32 textbooks

First, we need to find the critical value corresponding to a 99.5% confidence level. Since the sample size is relatively small (32 textbooks), we can use a t-distribution instead of a normal distribution.

The degrees of freedom for a t-distribution are given by (sample size - 1). In this case, the degrees of freedom will be (32 - 1) = 31.

Using a t-table or a statistical calculator, we find the critical value for a 99.5% confidence level and 31 degrees of freedom is approximately 2.750.

Now, we can calculate the confidence interval:

Confidence Interval = 55 ± 2.750 * (11.4 / √32)

Confidence Interval = 55 ± 2.750 * (11.4 / 5.657)

Confidence Interval = 55 ± 5.567

Therefore, the 99.5% confidence interval for the true population mean textbook weight is approximately (49.433, 60.567) ounces.

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a. Drive Co.'s revenue function R(X) = (-x^2/5)-247x.

b. The price per drive when revenue is maximized is $370.6.

c. The maximum profit made from the sale of these drives if Drive Co. incurs production costs of $179 per drive and has fixed costs of $250 is $6030.

What is a function?

The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs.

Drive Co. sells portable 905 hard drives when the price is $66/drive and can sell 800 hard drives when the price is $87/drive.

Let p be the price of hard drive and x be the number of hard drives.

When x = 905, then p = 66.

So, (x1,p1) = (905,66)

Similarly, when x = 800, then p = 87.

So, (x2,p2) = (800,87)

So, the equation of line between x and p is given as -

p-p1=[(p2-p1)/(x2-x1)}(x-x1)

Plugging in the values -

p-66=[(87-66)/(800-905)](x-905)

p-66=(21/-105)(x-905)

-105p+6930=21x-19005

-105p-21x=-19005-6930

-105p-21x=-25935

p=(-21x/105)-247

p=(-x/5)-247

So, the price function p(x) = (-x/5)-247.

Now, derive the revenue function -

Revenue = Number of drives × price per drive

Revenue = x · p(x)

Revenue = x · (-x/5)-247

Revenue = (-x^2/5)-247x

Therefore, the revenue function R(x) = (-x^2/5)-247x.

For maximum revenue -

dR/dx = R'(x) = 0 and R''(x)<0

dR/dx = -2x/5-247 = 0

-2x/5 = 247

x = -1235/2

x = -617.5

Therefore, the number of drives at maximum revenue is 618 drives.

The price per drive is -

p(618) = {-618/5}-247

p(618) = -370.6

Therefore, the price per drive is $370.6.

Now, the profit S(x) = Revenue R(x) - Total Cost C(x)

C(x) = fixed cost + variable cost

Variable cost = number of drives × price per drive

C(x) = 250 + 179x

Substituting the values -

S(x) = [(-x^2/5)-247x] - [250+179x]

S(x) = (-x^2/5)-68x-250

In order to get maximum profit differentiate the equation and equate it to 0.

dS/dx = 0

dS/dx = -2x/5-68 = 0

-2x/5 = 68

x = 340/-2

x = -170

d^2S/dx^2 = -2/5<0

So, maximum profit will be at x = 170.

S max = S(170) = [(170)^2 /5] - 68 (170) - 250

= 5780 - 11560 - 250

= -6030

Therefore, the maximum profit earned is $6030.

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The expansion of (a+b)^15 is: a^15 + 15a^14b + 105a^13b^2 + 455a

To expand (a+b)^15 using the Binomial Theorem, we can use the formula:

(a + b)^n = C(n,0)a^nb^0 + C(n,1)*a^(n-1)*b^1 + C(n,2)*a^(n-2)*b^2 + ... + C(n,n-1)a^1b^(n-1) + C(n,n)a^0b^n

where C(n,k) represents the binomial coefficient "n choose k" which is equal to n!/(k!(n-k)!).

In this case, n = 15, so we have:

(a+b)^15 = C(15,0)a^15b^0 + C(15,1)a^14b^1 + C(15,2)a^13b^2 + ... + C(15,14)a^1b^14 + C(15,15)a^0b^15

We can evaluate each binomial coefficient using the formula above, or we can use Pascal's Triangle to obtain the coefficients:

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

1 10 45 120 210 252 210 120 45 10 1

1 11 55 165 330 462 462 330 165 55 11 1

1 12 66 220 495 792 924 792 495 220 66 12 1

1 13 78 286 715 1287 1716 1716 1287 715 286 78 13 1

1 14 91 364 1001 2002 3003 3432 3003 2002 1001 364 91 14 1

1 15 105 455 1365 3003 5005 6435 6435 5005 3003 1365 455 105 15 1

Thus, we have:

(a+b)^15 = 1a^15b^0 + 15a^14b^1 + 105a^13b^2 + ... + 5005a^1b^14 + 32768a^0b^15

Simplifying, we get:

(a+b)^15 = a^15 + 15a^14b + 105a^13b^2 + 455a^12b^3 + 1365a^11b^4 + 3003a^10b^5 + 5005a^9b^6 + 6435a^8b^7 + 6435a^7b^8 + 5005a^6b^9 + 3003a^5b^10 + 1365a^4b^11 + 455a^3b^12 + 105a^2b^13 + 15ab^14 + b^15

Therefore, the expansion of (a+b)^15 is:

a^15 + 15a^14b + 105a^13b^2 + 455a

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Answer:

30/64 inches.

Explanation:

The size of the converted metric part = 0.473 in.

Now, we know that:

Therefore:

Thus, we have that:

To the nearest 64th of an inch, the closest size will be 30/64 inches.

Answer:

1 over 36

Step-by-step explanation:

Answer:

1 over 36 or A

Step-by-step explanation:

Trust me bro;)