A store is selling blank CDS in packages of 5 do $20. What is the cost of one blank CD?

Answer:  x²−9

Step-by-step explanation:

A square number is obtained ehen we multiply a number to itself.

For example: 5 × 5 = 5² = 25 [It is a square number]

We can do this in expression too, For example: z×z =z²

From all the given options, only x²−9 has both terms as square.

∵ x² = x × x

and 9 = 3×3= 3²

So that,  x²−9  =(x)²-(3)²

Hence, the correct option is x²−9.

Answer:

1/6 or one sixth

Step-by-step explanation:

The requried, rounding to the nearest gram, mass of the object is 95,297 g.

First, we need to find the volume of the rectangular prism:

Volume = length x width x height = 8 in x 7 in x 5 in = 280 cubic inches

Next, we need to convert the volume to cubic centimeters since the density is given in grams per cubic centimeter:

1 cubic inch = 16.3871 cubic centimeters

280 cubic inches = 280 x 16.3871 = 4594.628 cubic centimeters

Finally, we can calculate the mass of the object using the density formula:

Density = mass/volume

Density x volume

mass = 20.7 g/cm³ x 4594.628 cm³ ≈ 95,296.7 g

Rounding to the nearest gram, the mass of the object is 95,297 g.

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Given the lengths of the two sides and the angle between them, only one triangle can be created under the given circumstances.

1. Given that angle B is 32.5°, side AB is 37 cm, side AC is 26 cm, etc.

2. Calculate side BC using the Law of Cosines:

BC = (2(AB)(AC)cosB) + (AB)(AC)2

3. Input the values that are known: BC = (37 2 + 26 2 - 2(37)(26)cos32.5°)

4. Condense: BC = (1369 plus 676 minus 1848 cos 32.5 °)

5. Determine BC =. (2095 - 1539.07)

6. Condense: BC = 556.93

7. Determine BC as 23.701 cm.

8. Since the lengths of the two sides and the angle between them are specified, only one triangle can be formed under the current circumstances.

By applying the Law of Cosines, we can determine the length of the third side, BC, given that side AB is 37 cm, side AC is 26 cm, and angle B is 32.5°. In order to perform this, we must first determine the cosine of angle B, which comes out to be 32.5°. Then, we enter this value, together with the lengths of AB and AC, into the Law of Cosines equation to obtain BC.BC = (AB2 + AC2 - 2(AB)(AC)cosB) is the equation. BC is then calculated by plugging in the known variables to obtain (37 + 26 - 2(37)(26)cos32.5°). By condensing this formula, we arrive at BC = (1369 + 676 - 1848cos32.5°). Then, we calculate BC as BC = (2095 - 1539.07), and finally, we simplify to obtain BC = 556.93. Finally, we determine that BC is 23.701 cm. Given the lengths of the two sides and the angle between them.

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Answer:

Step-by-step explanation:

2 pounds / 5 people

x pounds / 13 people

2/5 pounds per person so 2/5 * 13 = 26/5

5 1/5 i think

sorry if its wrong

Answer: The answer of the question is 2 and 3/5.

Step-by-step explanation: Every pound of meat serves one person, because 10 divided by 2 people is 5. Then, there are 3 pieces of meat left over, and since every person eats 5/5, or 1 whole, then there are 3/5 pieces left over. You then add 2 and 3/5 together, getting your answer 2 3/5.

Answer:

The missing number is 3.

Step-by-step explanation:

1. For the sake of the equation, let's represent the missing number as y. Then write the equation: 4*7=(4*10)-4*y

2. Follow according to the order of operations, then you should get the result of 28=40-4y

3. Swap -4y and 28 in the equations: 4y=40-28 which goes to 4y=12.

4. Find y by dividing the rest of the equation by 4: y=3

57.8

Step-by-step explanation:

To get the answer we have to find 15% of 68 and then subtract it from 68$

15% its 0.15

0.15*68=10.2

68-10.2=57.8 - its the answer

The work done on the chair that weighs 50 N  and lifted to a height of 0.5 m and carried 10 m across the room is 500 joules.

To calculate the work done on the chair, you can use the formula:

Work = Force × Distance × cos(θ)

where:

- Force is the amount of force applied to the chair (in newtons, N)

- Distance is the displacement or distance covered while carrying the chair (in meters, m)

- θ is the angle between the direction of the force and the direction of displacement (if the force is applied vertically upward, then θ = 0°, and the cosine of 0° is 1)

In this case, the force applied to the chair is its weight, which is given as 50 N. The distance covered is 10 m, and the angle between the applied force and the displacement is 0° (since the force is applied vertically upward, perpendicular to the horizontal displacement).

Therefore, the work done on the chair is:

Work = 50 N × 10 m × cos(0°)

     = 50 N × 10 m × 1

     = 500 N·m

The unit for work is the newton-meter (N·m), which is also known as the joule (J). Therefore, the work done on the chair is 500 joules.

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If we were to measure a dependent variable's frequency, the appropriate method would be to count the number of times it occurred.

Frequency refers to the rate at which a behavior or event happens within a given timeframe. By counting the occurrences of the dependent variable, we can determine how often it happens or the number of times it is observed. The other options mentioned—timing the interval between responses, measuring the shape of the behavior, and timing how long it took to achieve—are not directly related to measuring frequency.

Timing the interval between responses would be more relevant for measuring the interresponse time or the duration between two consecutive instances of the behavior. Measuring the shape of the behavior would involve analyzing the pattern or characteristics of the behavior, such as its intensity or duration. Timing how long it took to achieve something would focus on the duration or latency of the behavior rather than its frequency.

Therefore, the correct approach for measuring frequency would be to count the number of occurrences of the dependent variable, providing an objective and quantitative assessment of how frequently the behavior or event takes place.

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The probability that more heads are tossed using coin A than coin B is 5/16.

The given data is: Coin A is tossed three times and coin B is tossed two times. We have to find the probability that more heads are tossed using coin A than coin B.

P(E) = Number of favorable outcomes/ Total number of possible outcomes

Coin toss:

There are two possible outcomes in a coin toss, Head or Tail. The probability of getting a head in a coin toss is

1/2 = 0.5.

Therefore, the probability of getting a tail in a coin toss is also 1/2 = 0.5.

Let's calculate the possible outcomes when coin A is tossed three times.

There are 2 possible outcomes when one coin is tossed.

Number of possible outcomes when three coins are tossed = 2 * 2 * 2 = 8

Likewise, the possible outcomes when coin B is tossed two times are:

The number of possible outcomes = 2 * 2 = 4

Therefore, the total number of possible outcomes = 8 * 4 = 32

Now, we will find out the cases where the number of heads is more when coin A is tossed three times.

HHH HHT HTH HTT THH THT TTH TTT HHT HTT THT TTT TTH TTT HTT TTT THT TTT TTT TTT

Therefore, the number of times when more heads are obtained when coin A is tossed three times is 10. (We have to exclude the case when there is an equal number of heads.)

Therefore, the required probability is: P = Number of favorable outcomes/ Total number of possible outcomes

P = 10/32P = 5/16

Therefore, the probability that more heads are tossed using coin A than coin B is 5/16.

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Answer:Irrational,2/9,22/100 11/50, Irrational, No Fraction Given, Perfect Square, Non-Perfect Square

Step-by-step explanation:Best fit options for each question.

Answer:

I can't help it's past due date. sorry

Step-by-step explanation:

The sum of the first 10 Fibonacci terms is 143. Multiplying this sum by the seventh term (13) gives 1859. The product is larger than the sum, indicating the influence of the seventh term.

To solve this problem, we first need to calculate the first 10 terms of the Fibonacci sequence:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55

Next, we calculate the sum of these 10 terms:

1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 = 143

Now, we find the seventh term of the Fibonacci sequence, which is 13.

Finally, we multiply the sum of the first 10 terms (143) by the seventh term (13):

143 × 13 = 1859

Therefore, the product of the sum of the first 10 terms of the Fibonacci sequence and the seventh term is 1859.

Observation: The product of the sum and the seventh term is a larger number compared to the sum itself.

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Answer:

pls mark me

Step-by-step explanation:

As there are no 12 cards in a standard pack the probability is zero.

The length decreased by 6 cm (from 18 cm to 12 cm) and the width increased by 3 cm (from 9 cm to 12 cm) indeed form a square with an area of 135 cm², which is 27 cm² smaller than the area of the rectangle.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.

Let's start by defining the variables we will use:

Let L be the original length of the rectangle.

Let W be the original width of the rectangle.

Let A be the area of the rectangle.

From the problem statement, we can set up the following equations:

(L - 6) = (W + 3) (the length decreased by 6 cm is equal to the width increased by 3 cm, forming a square)

(L - 6)(W + 3) - 27 = A (the area of the square is 27cm² smaller than the area of the rectangle)

Simplifying the first equation, we get:

L - W = 9

Solving for one variable in terms of the other, we can express L in terms of W:

L = W + 9

Substituting this expression into the second equation, we get:

(W + 3 - 6)(W + 3) - 27 = A

W(W + 6) - 27 = A

Expanding and simplifying, we get:

W² + 6W - 27 = A

Now, we can use the first equation to substitute for L in terms of W, and express A solely in terms of W:

A = LW

A = (W + 9)W

A = W² + 9W

Substituting this expression for A into the previous equation, we get:

W² + 6W - 27 = W² + 9W

Simplifying, we get:

3W = 27

W = 9

Substituting this value for W into the expression for L, we get:

L = W + 9 = 9 + 9 = 18

Therefore, the original length and width of the rectangle are 18 cm and 9 cm, respectively, and the area of the rectangle is:

A = LW = 18 x 9 = 162 cm²

We can check that the length decreased by 6 cm (from 18 cm to 12 cm) and the width increased by 3 cm (from 9 cm to 12 cm) indeed form a square with an area of 135 cm², which is 27 cm² smaller than the area of the rectangle.

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Answer:

252

Step-by-step explanation:

lol I take rsm too and I just guessed and checked

Answer:

If we assume that the proportion of male and female internet users in the second study is the same as the first study (i.e., 60% female and 40% male), and that the percentage of male and female internet users who create their own blog is the same as the first study (i.e., 17% for male and 22% for female), then we can calculate the percentage of teen bloggers who are female and male.

First, we can calculate the number of male and female internet users in the second study:

Number of female internet users = 1000 x 0.5 x 0.6 = 300

Number of male internet users = 1000 x 0.5 x 0.4 = 200

Next, we can calculate the number of female and male teen bloggers in the second study, based on the percentages from the first study:

Number of female teen bloggers = 300 x 0.22 = 66

Number of male teen bloggers = 200 x 0.17 = 34

Finally, we can calculate the percentage of teen bloggers who are female and male:

Percentage of teen bloggers who are female = (66 / 1000) x 100% = 6.6%

Percentage of teen bloggers who are male = (34 / 1000) x 100% = 3.4%

Therefore, in the second study, 6.6% of teen bloggers would be female and 3.4% of teen bloggers would be male.

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

The standard matrix is:

| 0      -1 |
| -1      0 |

The standard matrix of the linear transformation T: R2 to R2 that reflects each vector through the line x1=-x2 can be found by following these steps:

1. Start with the standard basis vectors for R2, which are (1,0) and (0,1).

2. Apply the transformation T to each of these vectors to find the new vectors. For the first vector, (1,0), we have x1=1 and x2=0. The reflection through the line x1=-x2 gives us a new vector with x1=-x2=-0=0 and x2=-x1=-1. So the new vector is (0,-1).

3. For the second vector, (0,1), we have x1=0 and x2=1. The reflection through the line x1=-x2 gives us a new vector with x1=-x2=-1 and x2=-x1=-0=0. So the new vector is (-1,0).

4. The standard matrix of the transformation T is the matrix whose columns are the new vectors we found. So the standard matrix is:
```
| 0 -1 |
| -1  0 |
```
This is the standard matrix of the linear transformation T: R2 to R2 that reflects each vector through the line x1=-x2.

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Answer:

A

Step-by-step explanation:

Answer:

n < 3

Step-by-step explanation:

\(6n + 10 < 4n + 16\)

\(2n + 10 < 16\)

\(2n < 6\)

\(n < 3\)

The mean is calculated by adding up all the numbers in the data set and dividing by the total number of values. In this case, the sum of the numbers is 105 and there are 16 values, so the mean is 6.56 cups of coffee per week on average.

To find the median, we need to arrange the numbers in order from smallest to largest. The ordered list is: 1, 1, 2, 2, 3, 4, 5, 5, 6, 6, 7, 8, 8, 9, 9, 36. The median is the middle value, which is 6.

In this case, the median is a better measure of central tendency because the data set includes an outlier value of 36 cups per week. This single value skews the mean and makes it less representative of the majority of employees' coffee consumption. The median, on the other hand, is not affected by outliers and represents the middle value in the data set, which is more reflective of the typical coffee consumption for this office.

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named width in java with a value of 1.55.

double length = 3.5; double width = 1.55;

Double is a data type in Java that supports storing decimal numbers. It is used to represent values that include a fractional component and is a 64-bit floating-point data type. When exact decimal numbers are required, as in financial or scientific computations, the double data type is frequently utilized. A double's range is roughly  ±\(5.0 \times 10^{-324}\) to ±\(1.7 \times 10^{308\) having a 15–17 decimal digit degree of accuracy.

For example:

double myDouble = 3.14; Alternatively, you may define a double variable without first giving it a value and then give it one later on in your code.

3.5 double length, 1.55 double width;

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Answer:

(-5,4)

Step-by-step explanation:

when the coordinate is reflection it stays the same number but is change to  the opposite (-/+)

reflecting over the y-axis flip the X coordinate (-5,4)

reflecting over the x-axis flip the Y coordinate (5,-4)

You have the following system of equations:

y = 9x - 9

y = 9

In order to solve the previous system of equations, replace y = 9 into the first equation and solve for x:

9 = 9x - 9 add 9 both sides and simplify

9 + 9 = 9x

18 = 9x divide by 9 both sides

18/9 = x

2 = x

x = 2

Hence, the solution to the system is x = 2 and y = 9.

The given function is

f(x) = - 2|x+5| + 2

The x intercept is the value of x when f(x) = 0

Substituting f(x) = 0 into the function, we have

0 = - 2|x+5| + 2

Subtract 2 from both sides

0 - 2 = - 2|x+5| + 2 - 2

- 2 = - 2|x+5|

Divide both sides by - 2. It becomes

- 2/- 2 = - 2|x+5|/- 2

1 = |x+5|

x + 5 = 1 or x + 5 = - 1

x = 1 - 5 or x = - 1 - 5

x = - 4 or x = - 6

x intercepts are x = - 6, x = - 4

Writing the x intercepts as points, they are

(- 6, 0) and (- 4, 0)

The y intercept is the value of f(x) when x = 0

substituting x = 0 into the function, we have

f(0) = - 2|0+5| + 2

f(0) = - 2|5| + 2 = - 2(5) + 2 = - 10 + 2

f(0) = - 8

y intercept = (0, - 8)

The results of preference ballots can be time-consuming to compile

The potential difficulty with preference ballots expressed in the given options is: The results of preference ballots can be time-consuming to compile.

A preference ballot is a type of ballot used in elections where voters indicate their order of preference for the candidates or options listed on the ballot.

Instead of simply selecting one option, voters rank the options in order of their preference, usually by indicating a first-choice, second-choice, and so on.

Preference ballots require more complex calculations to determine the winner, especially when there are more than two candidates. This can result in delays in announcing the results and can be time-consuming to compile.

Thus, this can result in delays in announcing the results and can be time-consuming to compile.

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Answer:

\(3(4)^{23}\)

Step-by-step explanation:

Let the first term be \(a\) and the common ratio be \(r\).

We know \(a=3\) and \(ar=12\), meaning \(r=4\).

This means the 24th term is \(3(4)^{23}\).

8 students like only tennis and​ football. When, In a survey of students about favorite​ sports, the results include 34 who like​ tennis, 37 who like​ football, 17 who like tennis and​ football, 21 who like tennis and​ baseball, 25 who like football and​ baseball, 9 who like all three​ sports, and 7 who like none of the sports.

One of the earliest areas of mathematics that deals with number theory, geometry, and analysis is algebra. Algebra is also defined as the study of mathematical rules and symbols through the manipulation of those mathematical symbols. The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions. In algebra, we utilize integers with fixed or definite values, such as 2, 7, 0.068, etc. In algebra, we combine integers with variables like x, y, and z.

Given

Number of student who only likes tennis and football

= number of student likes only tennis and football - who like all three sports

= 17 - 9

= 8

8 students like only tennis and​ football. When, In a survey of students about favorite​ sports, the results include 34 who like​ tennis, 37 who like​ football, 17 who like tennis and​ football, 21 who like tennis and​ baseball, 25 who like football and​ baseball, 9 who like all three​ sports, and 7 who like none of the sports.

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Answer:

true

Step-by-step explanation: