A rectangular room is 12 1/2 feet long and 10 1/3 feet wide. What is the area of the room?

Answer:

Step-by-step explanation:

Suppose that you have a set of points, where the x-coordinates represent the number of months since you purchased a computer and the y-coordinates represent how much the computer is worth. Would you know how to plot these points on a Cartesian plane? How about if the situation were reversed and you had the plotted points? Could you come up with the coordinates of the points and the function rule that would generate these points?

Functions on a Cartesian Plane

Once a table has been created for a function, the next step is to visualize the relationship by graphing the coordinates of each data point. Data points are formatted as (x,y), where the first coordinate represents the horizontal distance from the origin (remember that the origin is the point where the axes intersect). The second coordinate represents the vertical distance from the origin.

Figure 4.1.5.1

To graph a coordinate point such as (4, 2), we start at the origin.

Because the first coordinate is positive four, we move 4 units to the right.

From this location, since the second coordinate is positive two, we move 2 units up.

Figure 4.1.5.2

Plot the following coordinate points on the Cartesian plane:

(5, 3)

(-2, 6)

(3, -4)

(-5, -7)

We show all the coordinate points on the same plot.

Answer:

ok! what do u need help on???

Answer:

Option C.

Step-by-step explanation:

Shortest way to solve this question is to find the factors of the given expression.

The given expression is (x² + 13).

Now we have to factorize it.

(x² + 13) = x² + (√13)²

            = x² + [-(i)²√(13)²]  [Since i = √(-1)]

            = x² - (i√13)²

            = (x - i√3)(x + i√3) [Since (a² - b²) = (a + b)(a - b)]

Option C will be the answer.

The absolute value function as a piecewise function f(x) = |- x² - 8x - 7| is

f(x) = { - (x² + 8x + 7) , x ≤ -7 or x ≥ -1    

        { x² + 8x + 7 , -7 < x < -1

What is meant by absolute value?

Absolute value is a mathematical function that gives the distance of a number from zero on a number line. It is denoted by two vertical bars enclosing the number and always returns a non-negative value.

What is meant by piecewise function?

A piecewise function is a function that is defined by different expressions or rules on different parts or intervals of its domain. The domain is divided into pieces, and each piece has its own expression or rule.

According to the given information

When x² + 8x + 7 ≥ 0, we have:

f(x) = |-(x² + 8x + 7)| = -(x² + 8x + 7)

When x² + 8x + 7 < 0, we have:

f(x) = |x² + 8x + 7| = x² + 8x + 7

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In interval notation, the given expression is given as (∞ , 5) where the value of 5 is exclusive

Inequality are expression not separates by an equal sign.

Let the required set of numbers be "x" such that;

The set of all numbers less than or equal to −5 is expressed as x < -5

In interval notation, the given expression is given as (∞ , 5) where the value of 5 is exclusive

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Answer:

(-∞, -5]

Step-by-step explanation:

The set of numbers less than equal to -5 is the set that includes -5 and all numbers less than -5 through to negative infinity.

x ≤ -5

(-∞, -5]

We always use a curved bracket (parenthe3sis) with infinity.

In this case, since -5 is part of the set, we use a square bracket with -5.

Answer:

4/5

Step-by-step explanation:

The inverse statement is false.

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The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.

To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.

Stock A:

High price = $105.19

Low price = $103.25

Close price = $103.38

Stock B:

High price = $145.18

Low price = $143.28

Close price = $144.05

The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.

To calculate the selling prices, we need to multiply the number of shares by the respective selling price.

Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50

Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50

Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50

Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00

Now, let's calculate the difference in overall gain or loss:

Difference in overall gain = Selling price at the high price - Selling price at the low price

= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)

= $16,148.00 - $15,908.50

= $239.50

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The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.

Given data ,

The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.

Number of students who walk to school = 5

Total number of students in the class = 32

Experimental probability = Number of students who walk to school / Total number of students

= 5 / 32

P = 0.15625

Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.

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Answer:

-65/36

Step-by-step explanation:

Answer:

2nd option

y > 6 and y < 2

Step-by-step explanation:

as the value of y can not be greater than 6 and less than 2 at the same time, the 2 inequalities have no common solutions

theefore no solution

Answer:

29/42

Step-by-step explanation:

No. of red candies = 3

No. of green candies = 13

No. of yellow candies = 13

No. of blue candies = 13

T.T = 42

Probability that candy will not be blue= 13+13+3 = 29

= 29/42

Hope it helps!

Pls mark me brainliest

Have a good day.

Answer:

29/42

Step-by-step explanation:

So, there are total of 42 candies (13 blue, green and yellow and 3 red).

But the question implies that, the blue color will not be chosen. So since there are 13 blue candies, we subtract that from the total number (42) and we get 29.

Therefore, 29/42 is the answer

Answer:just did hope i helped ; )

Step-by-step explanation:

Answer:

37.2

Explanation:

A golden rectangle is a rectangle that satisfies the following proportion:

Where a is the shortest side and (a+b) is the length of the other side. So, we can replace a by 23 and calculate b as:

Applying cross-multiplication, we get:

Therefore, we can find the solutions to the quadratic function as:

Since -37.215 doesn't have any sense here, the value of b is 14.215

It means that the length of the longest side is:

a + b = 23 + 14.215 = 37.215

So, the answer is 37.2

We're given:

Let x equal the calorie count per serving of the original popcorn.

The light popcorn has a calorie count of 120, which is 25% fewer calories than regular popcorn. This means that 75% of the calorie count of regular popcorn is equal to that of the light popcorn:

\(x*0.75=120\)

\(x*0.75=120\)

⇒ Divide both sides by 0.75:

\(\dfrac{x*0.75}{0.75}=\dfrac{120}{0.75}\\\\x=160\)

Therefore, each serving of regular popcorn has 160 calories.

The length of the arc intercepted by a central angle of 3 radians in a circle of radius 76 is 228 and the length of the arc intercepted by a central angle of 2 radians in a circle of radius 15 is 30.

Explain:

The following formula determines the length of an arc that a circle's central angle intercepts:

Arc length is equal to (central angle / 2) 2r r r

where r denotes the circle's radius. We can determine the length of the two arcs using the following formula:

For the first circle, with a radius of 76 and a center angle of 3 radians:

Arc length = 3 x 76 = 228

Therefore, in a circle with a radius of 76, the length of the arc that is intercepted by a central angle of 3 radians is 228.

For the second circle, whose radius is 15, and whose center angle is 2 radians:

Arc length = 2 x 15 = 30

As a result, the length of the arc in a circle with a radius of 15 is 30 when it is intercepted by a central angle of 2 radians.

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Answer:

x = - 7, x = - 1

Step-by-step explanation:

Assuming you require the expression solved.

To solve, equate to zero

x² + 8x + 7 = 0 ← in standard form

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1

The value of the two numbers are 43 and 218

From the information given, we have;

Let the numbers be x and y

Then,

The difference between the numbers = x - y

The sum of the numbers = x + y

Substitute the values

x + y = 261

x - y = 175

Let's solve the simultaneous equations

Make 'x' the subject from 1

x = 261 - y

Substitute the value in 2

261 - y - y= 175

collect the like terms

-2y = - 86

y = 43

Substitute to determine the value of x

x = 261 - y = 261 - 43 = 218

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Answer: It's already a mixed number; if your talking about improper fractions it is 55/9

Step-by-step explanation:

6x9+1

6x9=54+1=55/9

Answer:

55/9

Step-by-step explanation:

Because 9 x 6 is 55 then + 1 is 55

Answer: the answer is 504!

Step-by-step explanation:

360*0.40=144

so they said 40% reggie collected main mor than 40% collected so you need to do add like 360+144=504

Answer:

1:7

Step-by-step explanation:

There was originally 28 students. Since 4 of them are gone. There are 24 students.
the ratio of students to markers is now:

24:168

Now you have to simplify it by finding the lowest common denominator:

24 and 168 both share 1 so:

24/24 = 1, 168/24 = 7

1:7

Therefore, for every student on that day, there is 7 markers

7 markers per student

The result of the given terms is -2/5 as per the given question from complex numbers.

There is a multiplicative inverse for every nonzero complex number. As a result, complex numbers are a field with real numbers as a subfield. The complex numbers also form a two-dimensional real vector space with 1, I as the standard basis.

Because of this standard basis, the complex numbers form a Cartesian plane known as the complex plane. This allows for a geometric interpretation of complex numbers and operations, as well as the expression of geometric features and constructions in terms of complex numbers. Real numbers, for example, constitute the real line, which corresponds to the complex plane's horizontal axis.

=(((3/5)+(1/5)i)+((4/5)-(2/5)i) -((9/5)-(1/5)i))

=((3/5)+(4/5)-(9/5))-i((1/5)+i((1/5)-(2/5)+(1/5))

=(-2/5)+i(0)

= -2/5

Therefore, the result of the given terms is -2/5

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Answer:

\(-\frac{1}{128}\)

Step-by-step explanation:

1) Identify the type of sequence this is; whether it is geometric progression, quadratic sequence or linear sequence.

= Geometric progression

2) Find the \(n^{th}\) term of this sequence. Every sequence of geometric progression is written in \(u_{n} = u_{1} * r^{n-1}\) form, where \(u_{1}\) is the first term of the sequence and \(r\) is the common ratio. To find the \(n^{th}\) term of this sequence, we need to find the common ratio (\(r\)) first.

\(r = \frac{u_{2}}{u_{1}}\)

\(r = \frac{-32}{64}\)

\(r = -\frac{1}{2}\)

2.1) Write it in \(u_{n} = u_{1} * r^{n-1}\) form.

\(u_{n} = 64 * (-\frac{1}{2} )^{n-1}\)

3) Find the \(14^{th}\) term by substituting 14 into the \(n\)'s.

\(u_{14} = 64 * (-\frac{1}{2} )^{14-1}\)

\(u_{14} = 64 * (-\frac{1}{2} )^{13}\)

\(u_{14} = 64 * -\frac{1}{8192}\\u_{14} = -\frac{1}{128}\)

Answer:

2k + 4

Step-by-step explanation:

David,

Start by performing the indicated multiplication:

5(k+2)-3(k+2) becomes 5k + 10 - 3k - 6.

Next, combine like terms:  5k - 3k + 10 - 6 becomes 2k + 4

This 2k + 4 is the desired simpler result.

Answer:

Step-by-step explanation:

where is the picture?

Answer:

you need a picture lol

Step-by-step explanation:

Answer:  

D. y = [x] - 2

Explanation:  

The Greatest Integer Function is denoted by y = [x].

     For all real numbers, x, the greatest integer function returns the largest integer less than or equal to x. In essence, it rounds down a real number to the nearest lowest integer.

         In the plot of y = [x], the plot starts from origin because y = [0] = 0.

                      But, in the question, all the lines are shifted 2 units downward, as it starts from (0, -2).

i.e for every values of x, y moves two units down

                               So our answer is y = [x] - 2.

(Information reworded from "InesWalston" who is another user on Brainly when they responded to the same question!)

                             Hope this helps, good luck! :D

[ SIDE NOTE: Someone else said that it is y=[x]-4, so I am not 100% sure! ]

In the given inequality 14 + x > 5, the graph represents the value of x greater than -9.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

When the inequality is plotted on the graph it represents that the value of x is greater than -9.

The graph of the inequality  14 + x > 5, is attached with the answer below.

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the counting number just before C5F16 is 3,072.