What is the perimeter of this rectangle?

Hey there!

2v - 7 - 12v + 15
COMBINE the LIKE TERMS

= (2v - 12v) + (-7 + 15)

= 2v - 12v - 7 + 15

= -10v + 8

Therefore, your answer should be:

-10v + 8

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Hello!

First, let's remember:

In an ordered pair, we will have two variables represented as (x, y).

In the first two ordered pairs, the exercise informed the value of x. In the third ordered pair, it informs the value of y. We will solve it in a similar way, look:

x = 7/2 or also x = 3.5.

The lower value of the perimeter is 140 inches .

Width of the rectangle is 20 inches .

The length of the rectangle is calculated as ,

Rearranging the terms ,

The higher value of perimeter is 220 inches .

Width of the rectangle is 20 inches .

The length is calculated as,

Therefore,

Thus the range of values for the length of the given rectangle are 50 and 90 .

The number of outcomes that do not show c is calculated to be 9 if each spinner is spun once.

The three possible outcomes of the first spinner are 1,2 and 4 and the possible outcomes of the second spinner are a,b,c and d; so if the two spinners are spun together, the possible outcome will be:

a1, a2, a4

b1, b2, b4

c1, c2, c4

d1, d2, d4

Therefore, there are a total of 12 possible outcomes, and 3 out of these possible outcomes show c. Now the outcomes that do not show c can be calculated by subtraction as follows;

Outcome not showing c = Total outcomes - Outcomes showing c

Outcome not showing c = 12 - 3

Outcome not showing c = 9

Therefore, 9 outcomes do not show c if each spinner is spun once.

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Answer: 6

Step-by-step explanation:

Based on the amount of the loan, and the number of periods as well as the APR, the total amount of the monthly payment would be $6,423.

The monthly payments for the loan would be constant so they can be considered to be annuities.

The value of these annuities would be:

Present value of annuity = Annuity x ( 1 - (1 + rate)^-number of periods) / rate

6,100 = Annuity x (1 - (1 + 5%/12)⁻⁽²ˣ¹²⁾ / 0.05/12)

Annuity = 6,100 / 22.793898393955992921598741250451

= $267.62

The total monthly payment is:

= 267.62 x 12 x 2 years

= $6,423

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The equation of the line is 4y = x + 32 which passes through the point (-8,6) and has a slope of 1/4.

We have been given the required line that passes through the point (-8,6) and has a slope of 1/4.

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Let the required line would be as

⇒ y - y₁ = m (x - x₁ )

The required line passes through the point (-8,6)

Here x₁ = -8 and y₁ = 6 and m = 1/4

Substituting these inputs into the above equation obtains the line equation.

⇒ y - 6 = 1/4 (x - (-8))

⇒ y - 6 = 1/4 (x + 8)

⇒ 4y - 24 = x + 8

⇒ 4y = x + 8 + 24

⇒ 4y = x + 32

Thus, the equation of the line is 4y = x + 32 which passes through the point (-8,6) and has a slope of 1/4.

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Using Pythagoras's theorem, the set of measurement that can be used to form a right triangle is √2, √7 and 9.

A right angle triangle is a triangle that has one of its angles as 90 degrees.

The sides of a right angle triangle can be found using Pythagoras's theorem.

Therefore, Pythagoras's theorem is described as follows;

c² = a² + b²

where

Therefore, the sides of the triangle that can be used to form a right triangle will have to obey the Pythagoras's theorem,

(√2)² + (√7)² = 9

2 + 7 = 9

Therefore, the last option can form a right triangle.

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In this case, we must analyze the graphs to find the solution.

Step 01:

Graph A

Dollars vs Months

If Months = 4 ===> 400 Dollars

Graph B

Months vs Dollars

If Dollars = 4 ===> 400 Months

If Months = 4 ===> The dollar amount is imperceptible on the graph.

The answer is:

The graphics are different.

In this case, we must analyze the graphs to find the solution.

Step 01:

Graph A

Dollars vs Months

If Months = 4 ===> 400 Dollars

Graph B

Months vs Dollars

If Dollars = 4 ===> 400 Months

If Months = 4 ===> The dollar amount is imperceptible on the graph.

The answer is:

The graphics are different.

The probability that the engine over heats and leaks is 0.0096

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

Probability is a metric used to express the possibility or chance that a particular event will occur. Probabilities can be expressed as fractions from 0 to 1, as well as percentages from 0% to 100%.

Engine leaks oil AND overheats,

hence P(Engine overheats) = P(Engine overheats) X P(Engine leaks oil) = 0.12 X 0.08 = 0.0096

Hence the probability of leaking of engine due to over heating is 0.0096

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Answer: 6 [tex]\frac{17}{18}[/tex] gallons of gas left in the car

Step-by-step explanation:

   Upon further clarification, this question reads "3/8 of the gas" and not "38 of the gas."

     If Tom's car has 11 1/9 gallons of gas, and we want to know how much gas the car will have left if he uses 3/8 of that, we first need to find 3/8 of 11 1/9.

     "Of" can usually be written as multiplication.

3/8 of 11 1/9 = 3/8 * 11 1/9 = 4 1/6

     Next, we will use subtraction since he uses 4 1/6 gallons of gas.

11 1/9 - 4 1/6 = 6 17/18 gallons

In a sample of 10 nucleotides, the likelihood of drawing 10 consecutive adenines at random is 0.000006.

Probability: The probability of an occurrence is defined as the ratio between the number of favorable outcomes to a certain event and the entire number of potential outcomes.

The following calculation shows the likelihood of picking 10 consecutive adenines at random from a sample of 10 nucleotides:

According to the information provided, there are 10 adenines and a likelihood of 0.30 that DNA contains them. n = 10 and p = 0.30

Therefore, Probability = (0.30)10 = 0.000006

The likelihood of randomly selecting 10 consecutive adenines from a sample of 10 nucleotides is calculated by multiplying the likelihood that DNA contains adenines by 10 times.

Therefore, The probability of picking 10 consecutive adenines at random from a sample of 10 nucleotides is 0.000006.

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The given statement is true.

What is variables?

In statistical modelling, experimental sciences, and mathematical modelling, there are dependent and independent variables. Dependent variables are so named because they are researched in an experiment under the assumption or requirement that they are dependent on the values of other variables according to some rule or law.

The given statement is true.

It does not matter whether we average the data across every month or every year as long as the variables are the same; the correlation will remain the same. Since the correlation coefficient r is a unitless metric, the time variable has no effect on it.

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Based on the quantity of the bag of sugar that Jaleel and Angela purchased, and their recipes for brownies, the amount of flour needed by each is:

Jaleel and Angela purchased a 20-cup bag of sugar and divided it evenly which means that they each get 10 cups of sugar.

Jaleel's recipe shows that every 1.5 cups of sugar needs a cup of flour. If he had 10 cups of sugar therefore, the amount of flour needed would be:

= Number of cups of sugar / Cups of sugar per cup of flour

= 10 / 1.5

= 6 ²/₃ cups of flour

Angela's recipe is such that every cup of sugar needs 1/2 cups of flour. This means that with 10 cups of sugar, the amount of flour needed is:

= 10 x 1/2

= 5 cups of flour

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ΔXYZ  ≅  ΔUTV

The two angles of the non-included side of the triangle are congruent to the two sides and non-included sides of the second triangle, according to the AAS theorem.

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Solving those simple linear equations, by isolating the variable, and combining like terms.

1.3x-4=23

3x -4=23

3x=27

x=9

2) 9-4x=17

-4x =17-9

-4x=8

4x=-8

x=-2

3) 6(x-7)=36 Distributing the factor

6x -42=36

6x=36+42

6x=78

x=13

4) 2(x-5)-8=34 Distributing the factor

2x -10-8=34

2x -18=34

2x=52

x=26

The area of the given diagram is 270sq.metre

The area of Rectangle is length times of width.

In the given figure there we can see three rectangles.

Let us divide each length to three parts.

The length 27m is divided into 3 we get

27/3=9m.

Hence each rectangle has 9m of length.

The width 30m is divided into 3 parts we get,

30/3=10m.

Hence area of each rectangle is 9×10=90 sq. m

Total area of diagram will be

3 times of 90.

270 sq.m.

Hence the area of the given diagram is 270sq.metre

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x = 12° and y = 7° are the value of linear angles.

What is linear pair of angles?

8x° = 96°

x = 96/8

x = 12°

8x° = 11y + 19

8 * 12° = 11y + 19

96 = 11y + 19

11y = 96 - 19

11y =    77

y = 77/11

y = 7°

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Answer:

x = -2

Step-by-step explanation:

If m(x) = 4x + 15 and m(x) = 7, the we can substitute and get the equation:

4x + 15 = 7

x = -2

A set of data is given. It is required to find the first, second, and third quartile.

The given data is:

Recall that the lower quartile Q₁, or the first quartile, is the median of the lower half of the data in a set.

The lower half is:

Find the median of the lower half to get the first quartile, Q₁:

Hence, Q₁=9.

Recall that the second quartile Q₂ is the same as the median of the data.

The median is the middle element or the mean of two middle elements in a numerical data set with the elements ordered by their value.

Notice that the middle number is 15.

Hence, second quartile Q₂=15.

The upper quartile Q₃, or the third quartile, is the median of the upper half of the data in a set.

The upper half of the data is:

Calculate the median to find the third quartile, Q₃:

It follows that Q₃=17

The complete table is shown below:

The most appropriate choice for reflection will be given by-

After reflection over y-axis, coordinate of K will become K' (6, -1)

After reflection over y-axis, coordinate of L will become  L' (0, -1)

After reflection over y-axis, coordinate of M will become M' (0, -2)

After reflection over y-axis, coordinate of J will become  J' (6, -2)

What is reflection?

Reflection of a figure about a line is a transformation in which a mirror image of the figure can be obtained over the line.

The line is called the line of reflection.

Here,

After reflection over the y - axis, sign of x coordinate will be same.

Coordinate of K = (-6, -1)

After reflection over y-axis, coordinate of K will become K' (6, -1)

Coordinate of L = (0, -1)

After reflection over y-axis, coordinate of L will become L' (0, -1)

Coordinate of M = (0, -2)

After reflection over y-axis, coordinate of M will become M' (0, -2)

Coordinate of J = (-6, -2)

After reflection over y-axis, coordinate of J will become J' (6, -2)

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Answer:

You need to show the image

Step-by-step explanation:

Answer: 3.45

Step-by-step explanation:

In these linear expressions one is equivalent which is  3- 2( - 2.6x + 2.1) = 5.2x - 1.2 and one is not .

An algebraic expression known as a linear expression has terms that are either constants or variables raised to the first power.

Alternatively pluging; we will see that none of the exponents can be greater than 1.

2x - 3(1.3x - 2.5) = 5.9x + 7.5

2x -3.9x + 7.5 = 5.9 + 7.5

-1.9x + 7.5 ≠  5.9 + 7.5

thus linear expression is not equivalent.

3- 2( - 2.6x + 2.1) = 5.2x - 1.2

3 + 5.2x -  4.2 = 5.2x - 1.2

5.2x - 1.2 = 5.2x - 1.2

thus, linear expression is equivalent.

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Answer:

625 pages

Step-by-step explanation:

Rate x time of the one printer + the rate x time of the second printer = 1000 pages

t= time

([tex]\frac{300}{10}[/tex] )t +( [tex]\frac{400}{8}[/tex]) t = 1000

30t + 50t = 1000

t(30 + 50) = 1000

80t = 1000   Divide both sides by 80

t = 12.5

It took 12.5 minutes to get this job done with both printers.

Look at printer b

[tex]\frac{400}{8}[/tex] (12.5) = pages

50 x 12.5 = 625 pages

To solve the system of equation using substitution method only, here are the steps.

1. Since the 2nd equation has been equated already into x = or y = , we can use this value to substitute the "x" value in the first equation.

2. Then, solve for y.

a. Eliminate first the parenthesis by multiplying the number outside it to the number inside it. (3 x 2/3y = 2y)

Therefore, the value of y is 3.

3. Plug in the value of "y" to either of the equation to solve for x. For this solution, we will plug it in to the second equation.

The value of x = 2.

To check whether these values are true for both equations, we can plug them in.

Indeed, the values of x and y are true to both equations. The solution x = 2, y = 3 correct.

The value of x in the triangle is 3.

The exterior angle of the triangle is VBC.

Using the exterior angle theorem, the value of x can be found in the triangle.

The exterior angle theorem states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.

In other words,  an exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Therefore,

m∠D = 9x - 2

m∠C = 40°

m∠VBC = 20x + 5

Hence,

20x + 5 = 9x - 2 + 40

20x + 5 = 9x + 38

20x - 9x = 38 - 5

11x = 33

x = 33 / 11

x = 3

Therefore,

x = 3

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Probability that the man wins money from at least one of the sources, a lottery and a card game, is equal to  17/50.

Probability that he wins from first source = 1/100

Probability that he doesn’t wins from first source = 99/100

Probability that he wins from second source = 1/3

Probability that he doesn’t wins from second source  = 2/3

Probability that the man wins money from at least one of the sources = 1-(probability that the man wins no money from any of the sources)

[tex]=1-[(\frac{99}{100} )(\frac{2}{3} )] =1-(\frac{33}{50} )=\frac{17}{50}[/tex]

So, the required probability of winning the money by the man from at least one of the sources is 17/50.

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Given

relation = {(9,1), (0,1), (9,-3), (-4,12)}

Find

Is this a function?

Explanation

A relation is a function only if it relates each element in its domain to only one element in the range.

here , domain 9 has two range value 1 and -3

so it is not a function

Final Answer

Hence , it is false

Answer:

False

Step-by-step explanation:

Definition:

Function is a set of coordinate points where each coordinate points do not have same domains (x-values). If we express mathematically, we can do as [tex]\displaystyle{f=\left \{(x_0,y_0),(x_1,y_1),(x_2,y_2),...,(x_n,y_n)\}\right}[/tex] where [tex]\displaystyle{x_0\neq x_1 \neq x_2\neq \dots \neq x_n}[/tex]Function is also considered to be a relation but not all relations can be functions.

As accorded to the relation, it turns out that there are two same domains (x-values) which is 9 from (9,1) and (9,-3). Therefore, this relation doesn’t satisfy the definition of function so it’s not a function.

Please let me know if you have any questions!

The cheapest pizza without a delivery fee is 13.25 × and the cheapest delivery fee is $3.75.

A price assessed by the delivery business as compensation for the service.

Therefore, the cheapest pizza without a delivery fee is 13.25 × and the cheapest delivery fee is $3.75.

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Since the algae grow exponentially with doubling time of 4 days, then the population will be quadruple in size in 8 days and will be triple in size in  6.34 days.

The easiest way is to consider the situation as a geometric sequence. If the population doubles its size in 4 days, then it will be quadruple in:

2 x 4 days = 8 days.

In general, we can use the growth formula:

P(t) = Po . 2^(t/Td)

Where:

P(t) = population at time t

Po = initial population

Td = doubling time

Parameters given:

Td = 4 days

P(t) = 3Po

Plug those parameters into the formula:

3 Po = Po . 2^(t/4)

3 = 2^(t/4)

log 3 = (t/4) log 2

t = 4 . log 3 / log 2 = 6.34 days.

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