What is the difference between 65 and -25?

Answer: C

Step-by-step explanation:

The rest of the quadrilaterals provided have 2 pairs of parallel lines.

The choice is:

Explanation:

The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.

Here's what a trapezoid looks like :

\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)

According to the information we can infer that the period of the graph is 8.

To determine the period of the graph we have to consider that the period of a grah is the distance between rigdes. So, in this case we have to count what is the difference between each rigde.

In this case, the distance between rigdes is 8 units because the first is located in the line 1 an the second is located in the line 9. So we can conclude that the period of the graph is 8.

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Answer:

45 degrees

Step-by-step explanation:

The 4 angles of a quadrilateral will add to 360.

We know 1 of them (angle B) is 90 degrees.

We can set up an equation to solve the others.

2x+3x+x+90 = 360

Now solve for x.

Start by combining the x terms together.

6x+90 = 360

6x = 360-90

6x = 270

(6x/6) = 270/6

x = 45 degrees

Check back to see if that makes sense and if the equation equals 360 when x is 45:

2x+3x+x+90 = 360

2(45)+3(45)+45+90=360.

Answer:

719/47 is 15.29787234

Answer:

Hi,

In a square, all sides are equal.

The area is obtained by multiplying one side by another side.

So, A = L^2

A = Area

L = length of a side

24ft^2 = L^2

L = square root(24) = 4.9

L = 4.9

We can say x^2 = 24

And the length of one side is therefore 4.9

Answer:

Step-by-step explanation:

Given function: f(x)=|3x-6|

To find: Vertex of the function

When we solve the given equation, 3x-6, by equating it to 0, we get

3x=6

x=2 ......(1)

Now, we will use the obtained value of x to find the value of y

To find the vertex at x=2, we will have to find the value of the y coordinate

let's assume the equation to be: 3x-6+y ......(2)

Let's solve equation (2) by equating it to 0

3x-6+y=0

Substituting equation (1), we get

3(2)-6+y=0

6-6+y=0

y=0

Therefore, we get the value of x as 2 and y as 0.

Therefore the vertex of f(x)=|3x-6| is (2,0).

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The percentage improvement in reliability when test length is doubled is 15%

R(n) = 0.25n / (0.75 + 0.25n)

substitute n = 1 into the equation :

R(n) = 0.25n / (0.75 + 0.25n)

R(1) = 0.25(1) / (0.75 + 0.25(1))

R(1) = 0.25 / 1

R(1) = 0.25

when test length is doubled , n = 2

substitute n = 1 into the equation :

R(n) = 0.25n / (0.75 + 0.25n)

R(2) = 0.25(2) / (0.75 + 0.25(2))

R(2) = 0.5 / 1.25

R(2) = 0.4

Percentage improvement can be calculated thus ;

R(2)-R(1)/R(1) × 100%

(0.4-0.25)/0.25 × 100%

0.15 × 100%

=15%

Therefore, percentage improvement in reliability is 15%

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Answer:

D

Step-by-step explanation:

Answer:

The equation of this line is y = -4.

Answer:

y=-4

Step-by-step explanation:

zero slope m=0

y-y1=m(x-x1)

y-(-4)=0(x-(-9))

y+4=0

y=-4

Edwin needs to sell 44,625 jars of jam to break even.

To determine how many jars of jam Edwin needs to sell to break even, we'll calculate the breakeven point using the following formula:

Breakeven Point = Fixed Expenses / (Selling Price per Unit - Variable Cost per Unit)

Given information:

Selling Price per Unit (SP) = $1.90

Variable Cost per Unit (VC) = $1.10

Fixed Expenses = $35,700.00 per year

Plugging in the values into the formula:

Breakeven Point = $35,700 / ($1.90 - $1.10)

Breakeven Point = $35,700 / $0.80

Breakeven Point = 44,625 jars

Therefore, Edwin needs to sell 44,625 jars of jam to break even.

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Answer:

X can be any number it' a variable

Step-by-step explanation:

A best example of an out-of-pocket cost is: C. A deductible.

An out-of-pocket cost can be described as a cost you pay from your own personal reserve, which may include coinsurance, deductibles, copays, and some services covered by an individual's health plan.

Out-of-pocket cost may be reimbursed.

Thus, a best example of an out-of-pocket cost is: C. A deductible.

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Answer: C. A deductible

Step-by-step explanation:

The result of the expression, 18 x 4² + (9 – 3)² after simplification is 324.

What is an expression?

An expression can be defined as the combination of variables and constants with two or more operations applied to it. The operation can be addition, subtraction, multiplication and division.

Simplifying the expression

The given expression is 18 x 4² + (9 – 3)²

Using the BODMAS rule, we get,

= 18 x 4² + (6)²

= 18 × 16 + 36

= 288 + 36

= 324

Lila estimated it right.

The mistake that Rob might have made would be that he must have not solved (9 – 3)² the right way and gained the wrong answer.

Hence, the result of the expression, 18 x 4² + (9 – 3)² after simplification is 324.

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The statement as given is not true. For n = 1, the left side is just the first term, 1, while the right side would be 3(1) - 1 = 2, and 1 ≠ 2.

I think what you meant to write was the equation

1 + 4 + 7 + ... + (3n - 2) = 1/2 n (3n - 1)

which can be easily proved by induction.

For n = 1, we have

1 = 1/2 (1) (3(1) - 1)   →   1 = 1

which is of course true.

Now for the inductive step. Assume the equation holds for n = k, so that

1 + 4 + 7 + ... + (3k - 2) = 1/2 k (3k - 1)

and use this to show it holds for n = k + 1.

We would have

1 + 4 + 7 + ... + (3k - 2) + (3(k + 1) - 2)

which reduces to

1/2 k (3k - 1) + (3k + 1)

3/2 k² + 5/2 k + 1

1/2 (3k² + 5k + 2)

1/2 (k + 1) (3k + 2)

which is precisely what the formula gives on the right side for n = k + 1. QED

Answer:

x-6+6(6+6+6)X I am a pro boiiiiii

Answer:

≈19974 grams per cubic meter.

The required density in grams per cubic meter is 19895 g / m³.

Given that,
The density of a certain material is such that it weighs 8 ounces for every 3 gallons of volume. Express this density in grams per cubic meter, round your answer to the nearest whole number, is to be determined

Volume is defined as the ratio of the mass of an object to its density. And that space is occupied by an object in the space.

Here,
1 gallon = 0.0038 m³
3 gallon = 0.0114 m³
Volume = 0.0114 m³

Mass =

1 ounce = 28.35 g
8 ounce = 8 * 28.35
8 ounce = 226.8 g
Mass = 226.8 g

density = mass / volume
            = 226.7 / 0.0114
            ≈ 19895 g / m³

Thus, the required density in grams per cubic meter is 19895 g / m³.

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For the following equation, the x-intercept is (3/2, 0) and the y-intercept is (0, 6).

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 equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

y+2=-4(x-2)

for x-intercept=(x,0)

2=-4(x-2)

2=-4x+8

4x=6

x=6/4=3/2

for y-intercept=(0,y)

y+2=-4(*-2)

y=6

The x-intercept is (3/2,0) and y-intercept is (0,6) for given equation.

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A two-column proof to show that m∠3 + m∠6 = 180° should be completed with the statements and reasons stated below.

In Mathematics and Geometry, the consecutive interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the interior angles that are formed are congruent and each pair of the consecutive interior angles is supplementary.

In this context, a two-column proof to show that m∠3 + m∠6 = 180° should be completed with the following statements and reasons;

Statement                                                Reasons

l║n                                                           Given

∠6 and ∠7 are linear pair                 consecutive interior angles theorem  

∠3 ≅ ∠7                                                Definition of linear pair  

m∠3 + m∠6 = 180°                                Substitution property

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Answer:

Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet

Step-by-step explanation:

The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)

The collection, description, analysis, and drawing of conclusions from quantitative data are all included in the area of statistics, which is a branch of applied mathematics. Probability theory, linear algebra, and calculus of differential and integrals are some of the core mathematical concepts in statistics.

Descriptive statistics were used in the statement.

Descriptive statistics is a branch of statistics that deals with the collection, presentation, and summary of data. It is used to describe and summarize the main features of a data set, such as measures of central tendency (e.g., mean, median, mode) and measures of dispersion (e.g., range, variance, standard deviation).

In this case, the statement is simply reporting a single value, the average credit card debt for college students in 2008. This is an example of a descriptive statistic because it is a summary measure that describes a characteristic of the population or sample under study.

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Descriptive statistics were used in the statement.

Descriptive statistics is a branch οf statistics that deals with the analysis, descriptiοn, and summarizatiοn οf data. It invοlves the use οf variοus statistical measures, such as measures οf central tendency (mean, median, and mοde), measures οf dispersiοn (standard deviatiοn, variance, range), and graphical representatiοns (histοgrams, bοx plοts, scatter plοts, etc.) tο describe the features οf a dataset.

Descriptive statistics were used in the statement. The statement is simply describing the average credit card debt fοr cοllege students in 2008. Descriptive statistics are used tο describe οr summarize a dataset οr pοpulatiοn, while inferential statistics are used tο draw cοnclusiοns οr make predictiοns abοut a larger pοpulatiοn based οn a sample οf data. Since the statement οnly prοvides infοrmatiοn abοut a specific grοup οf cοllege students in 2008, it dοes nοt invοlve making any inferences οr predictiοns beyοnd this grοup.

Hence, Descriptive statistics were used in the statement.

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540 yards should be purchased to enclose the deck and option B is correct.

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides.

A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

Pools dimension = 1:3

Length = 60 × 3

= 180

Breadth= 30 × 4

= 90

Perimeter of rectangle = 2(l+b) = 2(90+180)

P = 2(270) = 540 yards

Thus, 540 yards should be purchased to enclose the deck and option B is correct

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You will have $1,09,545.455 in the account in 20 years. An you will put total $72,000 in the account. And you will earn $37,545.455 of total interest.

Here,

We deposit $300 each month earning 4% interest compounded monthly.

we will find the future value of this amount after 20 years.

for finding future value, The general formula is

FV=PV∙(((1+i)ⁿ-1))/i

Where,

FV= future value

PV=present value

i=interest

n=time period

now, our PV=300$ and we have 4% interest compounded monthly

i.e.

i=4/100∙1/12

i=0.0033

And, the period of time is

n=20×12

n=240

Now, we will calculate the future value

FV=300 (((1+0.0033)²⁴⁰-1))/0.0033

FV=300 (((1.0033)²⁴⁰-1))/0.0033

FV=300 (((2.205)-1))/0.0033

FV=300(365.15)

FV=1,09,545.455$

Now, The total money you put into account is

total amount=300×20×12

total amount=72,000$

Total interest,

total interest=109545.455-72000

total interest=37,545.455$

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To complete the grouped frequency distribution for the data with a class width of 4, you can start by first obtaining the range of the data, determining the lower limit of the first class interval, and the upper limit of each class interval.

After you have determined the upper limit of each class interval, the next thing to do will be constructing a table that shows the columns for the class intervals, the frequency of each interval, and the cumulative frequency.

Count the number of data points that fall into each class interval, and record these frequencies in the frequency column of the table. Add up the frequencies to get the cumulative frequencies. Finally, use the figures obtained to determine the mean, median and mode.

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Answer:

-√26, 5.15, 5.2, 16/3

Step-by-step explanation:

-√26 = -5.09

16/3 = 5.33

Answer:

x > -5, so the correct answer is C.

Answer:

Students 1 & 4

Step-by-step explanation:

An expression has NO equal sign, EQUATIONS have equals.

2 & 3 have equals which makes then equations.

~R3V0

Step-by-step explanation:

any linear function represents a straight line (hence the name) and is therefore of the structure

y = f(x) = ax + b

"a" is the slope of the line, and it is represented by the ratio (y coordinate difference / x coordinate difference) when going from one point on the line to another point.

"b" is the y-intercept (the y-value when x = 0).

so, let's look at the answer options :

A.

x = 0 gives us b (the y value) : 2

so, then for x = 1, y = 3 ?

3 = a×1 + 2

a = 1

now, the next point must be also on the same line for the whole function to be linear (and that means the equation has to be true for all numbers involved) :

x = 2, y = 6

6 = 1×2 + 2 = 4

6 is for sure NOT 4, so this is not a linear function.

it is actually y = x² + 2

B.

x = 0 gives us b : 1

for x = 1, y = 3 ?

3 = a×1 + 1

a = 2

again, the next point must be on the same line :

x = 2, y = 9

9 = 2×2 + 1 = 5

9 is for sure NOT 5, so this is not a linear function.

it is actuality y = 3^x.

C.

x = 0 gives us b : 0

for x = 1, y = 1 ?

1 = a×1 + 0 = a

a = 1

the next point :

x = 2, y = 4

4 = 1×2 = 2

4 is for sure NOT 2, so this is not a linear function.

it is actually y = x².

D.

x = 0 gives us b : 3

for x = 1, y = 9

9 = a×1 + 3

a = 6

the next point(s) must fit :

x = 2, y = 15

15 = 6×2 + 3 = 12 + 3 = 15

correct

x = 3, y = 21

21 = 6×3 + 3 = 18 + 3 = 21

correct

yes, this is a linear function.

it is y = 6x + 3

Answer:

3

Step-by-step explanation:

the equation is:

y=1/4x+3