Solve this equation using the most direct method
3x(x + 6) = -10
Enter your solution in the exact, most simplified form. If there are two solutions, write the answer using the ± symbol.

The answers are,

A) The median is 18.

B) The mean is 2.25.

C) The data set is not symmetrical because it is skewed left.

What is median and mean of data set?

The measure of central tendency that is most frequently used is the mean. The average of the specified set of data is what it actually reflects. Both continuous and discrete data types can use it. It is determined by dividing the total number of values in the data collection by the total sum of all the values.

In most cases, the median shows the midpoint of the supplied set of data when it is presented in a specific order.

Here the given data set is 48,16,8,6,37,20.

To find median , we need  rearrange then into ascending order then,

=> 6,8,16,20,37,48.

Here mid point of the data set is 16 and 20. Then,

=> [tex]\frac{16+20}{2}[/tex]

=> [tex]\frac{36}{2}[/tex]

=> 18.

Now to find mean of the data set we need to add all data and divide them by number of data, Then

=> [tex]\frac{48+16+8+6+37+20}{6}[/tex]

=> [tex]\frac{135}{6}[/tex]

=> 2.25

Now the data set is not symmetrical because it is skewed left.

Hence the answers are,

A) The median is 18.

B) The mean is 2.25.

C) The data set is not symmetrical because it is skewed left.

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Answer:

approximately 87,178,291,200

Step-by-step explanation:

The number of ways to arrange the letters of the word 'jvuyojzrxccome' is 14! (14 factorial), since there are 14 distinct letters in the word. This is a very large number, approximately 87,178,291,200.

In a case whereby formula for the area of a triangle is A=1/2bh. Kevins answer for the area of this triangle is 40 inches2, then Kevins solution is not correct because the correct solution is 20inches.

The concep[t that will be used is the area of triangle, The area of the triangle can be calculated using

A=1/2bh

where  A = area

b = base=5

h= height =8

then A=1/2*8*5= 20 inches

Therefore, the correct area of triangle from the fiqure is 20 inches

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The correct answer is option B.

The entire length of hose

Since the early 17th century, primrose and cowslip have been cultivated as Hose in Hose mutants, which exhibit strong homeotic sepal to petal conversion. The S locus, which regulates floral heteromorphy in Primula species, is linked to the phenotypic, which exhibits varying penetrance and expressivity. Here, we show that the primrose B-function MADS box genes PvDef and PvGlo are upregulated in the first floral whorl in association with the homeotic conversion of sepals to petals in Hose in Hose. We have found and characterized a retrotransposon insertion in the PvGlo promoter that is connected to the up-regulated expression of PvGlo, as well as a restriction fragment length polymorphism linked with PvGlo that cosegregates with the Hose in Hose phenotype.

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Answer: I'm sorry, but I'm unable to answer your question as you haven't provided any information about the minimum payment that he must make to CreditFirst and Sun Money. Please provide more details and I'll do my best to help you.

Step-by-step explanation:

The number of sausage rolls is 8 and the chicken pie is 12.

How many of each item did she buy?

The first step is to form a system of equations using the information in the question:

c + s= 20 equation 1

2.50c - 1.50s = 18 equation 2

Where:

c = number of chicken pies bought

s = number of sausage rolls bought

The elimination method would be used to determine the required values.

Multiply equation 1 by 2.50

2.5c + 2.5s = 50 equation 3

Subtract equation 2 from equation 3:

4s = 32

Divide both sides of the equation by 4

s = 32 / 4

s = 8

Substitute for s in equation 1:

c + 8= 20

c = 20 - 8

c = 12

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Answer:

Below

Step-by-step explanation:

A.) Finding velocity from position requires deriving it

s' = v(t) = 21t^2 + 5

B.) Now it's plug and play

v(3) = 21(3)^2 + 5

= 21(9)+5

=194m/s

C.) Same thing, well derive the v(t)

v' = 42t

D.) One more plug and play

a = 42(3)

= 126m/s^2

The limit of the function [tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex] is 12 and from the graph, we can say that for x = 2, g (x) is continuous while f (x) is not.

The function is [tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex].

We firstly simplify the expression.

We can write the function as:

[tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex] = [tex]\lim_{x\rightarrow 2}\frac{(x)^3-(2)^3}{x-2}[/tex]

Using the formula, [tex](a)^3-(b)^3 = (a-b)(a^2+ab+b^2)[/tex]

[tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex] = [tex]\lim_{x\rightarrow 2}\frac{(x-2)(x^2+2x+4)}{x-2}[/tex]

Simplify

[tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex] = [tex]\lim_{x\rightarrow 2}[/tex](x^2 + 2x + 4)

Using, [tex]\lim_{x\rightarrow c}[/tex] f(x) = f(c)

[tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex] = [(2)^2 + 2×2 + 4]

[tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex] = (4 + 4 + 4)

[tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex] = 12

We have [tex]\frac{x^3-8}{x-2}[/tex] = (x^2 + 2x + 4)

So the simpler function is

g(x) = (x^2 + 2x + 4)

that agrees with the function f(x) = [tex]\frac{x^3-8}{x-2}[/tex] except x = 2.

Now we graph the function f(x) and g(x).

We can see that for x = 2, g (x) is continuous while f (x) is not.

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The complete question is:

Write a simpler function that agrees with the given function at all but one point. Then find the limit of the function. Use a graphing utility to confirm your result.

[tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex]

Answer:

=-16

Step-by-step explanation:

Step 2, divided first within first parentheses

Step 4, subtract first within the parentheses.

（³√27-14÷2) (6-8)²

 =(3-14÷2) (6-8)²

 =(3-7) (6-8)²

 =(-4) (-2)²

 =(-4) 4

 =-16

The measure of angle AOB is 180°.

Since COE and BOD are right angles, the measure of both angles is 90°.

The measure of COD is 1/4th of the measure of BOC, which is 90°. Therefore, the measure of COD is 90/4 = 22.5°.

Adding the measures of all three angles gives us 180°.

Therefore, the measure of AOB = 180 - (90 + 22.5) = 67.5°

Answer:

Step-by-step explanation:

Labor rate: $60/hr

Labor time: 0.3hr

Labor cost= 60*0.3=$18

Battery cost= $69.95

Tax=5%

Total battery cost is 69.95*1.05= 73.4475≈$73.45

Total cost= $73.45+$18= $91.45

Based on the information in the graph, we can infer that the correct answer is A. None of the above, since none of the options represents the intersection of the set A and B.

The symbol ∩ is used in set theory to refer to the set that contains all those elements that A and B have in common.

Based on the above, we can infer that this refers to the central set in which the number 1 is found. However, none of the options have this value, so the correct answer would be A. none of the above.

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$2360 was invested at 7% and $1910 was invested at 8% to get a total interest of $318

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of money invested at 7% and y represent the amount of money invested at 8%.

The total interest is $318, hence:

0.07x + 0.08y = 318   (1)

she has $450 more in the 8% account, hence:

y = x + 450    (2)

Solving both equations simultaneously:

x = 2360, y = 1910

$2360 was invested at 7% and $1910 was invested at 8%.

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Answer:

(1,-9) or d(0,9) ahahahshaiaiahsiaoajaj

Answer:

(1,-9), (-1,-9)

Step-by-step explanation:

Given:  y+9=0

Therefore: y=-9

Answer:

Tthe length of the A4 sheet of paper is √(1/6m² * √2) and the breadth is √(1/6m² * √2) / √2

Step-by-step explanation:

To calculate the length and breadth of an A4 sheet of paper, we can use the information provided in the problem.

First, we know that the ratio of the length to the breadth is √2:1. This means that for every √2 units of length, there is 1 unit of breadth.

Next, we know that the area of the sheet is 1/6m². To find the length and breadth, we can use the formula for the area of a rectangle, which is length x breadth.

So, we can set up the equation:

(length) x (breadth) = 1/6m²

We can then use the information about the ratio of length to breadth to set up a proportion:

length/breadth = √2/1

Now we can cross-multiply and substitute this proportion into our area equation:

length x breadth = 1/6m²

length x (length/√2) = 1/6m²

length^2 = 1/6m² * √2

length = √(1/6m² * √2)

To find the breadth we can use proportionality again

breadth = length/√2

So, the length of the A4 sheet of paper is √(1/6m² * √2) and the breadth is √(1/6m² * √2) / √2

The required cost of the computer after 3 years is given as $548.43.

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
A laptop computers purchase for $1300 after each year the resale value decreases by 25%.
Price of the laptop after x years,

y = 1300[1 - 0.25]ˣ

Put x = 3
y = 1300[0.75]³

y =  $548.43

Thus, the required cost of the computer after 3 years is given as $548.43.

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The line with slope -2 through the point (-13, 21) is y = -2x + b where b= y intercept, found by plugging in the values x=-13 and y=21.

21 =-2(-13) + b

b = 21 -26 = -5

y =-2x -5 is the equation in slope intercept form

or

2x +y =-5 in standard form the graph is a downward sloping straight line

y intercept is (0,-5), x intercept is (-5/2, 0) = (-2 1/2, 0)

plot those two points,  connect them with a straight line

add arrows on both ends of the line to indicate the line goes forever in both directions

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An arithmetic progression is a set of numbers with a fixed difference between any two succeeding numbers (A.P.). Examples of A.P. include 3, 6, 9, 12, 15, 18, and 21.

A.P. and G.P. application: A series of terms known as an arithmetic progression (AP) have identical differences. In a geometric progression (GP), the common ratio is multiplied by the previous term to produce each succeeding term.

Given,

a₁ = x

a₂ = 2x + 1

a₃ = 11

a₂ - a₁ = a₃- a₂

(2x + 1) - (x) = 11 - (2x + 1)

2x - x + 1 = 11 - 2x - 1

x + 1 = -2x + 10

2x + x = 10 - 1

3x/3 = 9/3

x = 3  

The arithmetic sequence:  3, 7, 11

Common difference: 4

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Step-by-step explanation:

The equation of the function is y = 1/2x.

The answer to the query is that $14.28 is left on your credit throughout 44 minutes of calls.

When any term's greatest degree is two or higher, an equation is said to be nonlinear. This is a sample of a numerical solution since formula has the highest degree of 2, whereas equation 2 includes the variables x and y. 3x + 4y = 5, etc., where + 2x + 1 = 0.

Let y be the remaining credit (in dollars) and x be the calling time (in minutes). Based on the information given, we have two points on the line: (24, 16.88) and (38, 15.06).

Using these two points, we can find the equation of the line using the point-slope form:

y - 16.88 = m(x - 24)

where m is the slope of the line. Substitute one of the points to find m:

15.06 - 16.88 = m(38 - 24)

-1.82 = m(14)

m = -1.82/14 = -0.13

Now we have the slope of the line, we can write the equation of the line using the point-slope form:

y - 16.88 = -0.13(x - 24)

To find the remaining credit after 44 minutes, substitute x = 44 into the equation:

y = -0.13(44 - 24) + 16.88

y = -0.13(20) + 16.88

y = 16.88 - 2.6

y = 14.28

So the remaining credit after 44 minutes of calls is $14.28.

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Answer: The area of the rectangular region is 27 m².

Step by step explanation:

Data :

We calculate the area taking into account the formula that I will give you:

[tex] \bold{A = b * h }[/tex]

We simplify according to the given formula:

[tex]\bf A = 9(3)[/tex]

[tex]\boxed{ \bf A = 27 \: {m}^{2} }[/tex]

Rpt: The area of the rectangular region is 27 m².

The total bill with 6 percent of tax is $36.87, for which the server must be paid one $20 bill, one $10 bill, one $5 bill, one $1 bill and 0.87 pennies.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred.

The amount for total bill is $34.78.

The sales tax percentage added is 6%.

The total bill including tax will be -

Final Bill = Total Bill + (Total Bill × tax)

Substitute the values into the equation -

Final Bill = 34.78 + (34.78 × 6%)

Final Bill = 34.78 + (34.78 × 0.06)

Final Bill = 34.78 + 2.0868

Final Bill = 36.8668 ≈ 36.87

Therefore, the final bill is $36.87.

The amount of $20 bill = 1

The amount of $10 bills = 2

The amount of $5 bills = 1

The amount of $1 bills = 5

The amount of pennies = x

So, the amount of bill given to server to make a total of $36.87 is -

1 × ($20) + 1 × ($10) + 1 × ($5) + 1 × ($1) + x = $36.87

20 + 10 + 5 + 1 + x = 36.87

36 + x = 36.87

x = 36.87 - 36

x = 0.87

Therefore, along with 1 bill each 0.87 pennies should be given to the server.

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The best course grade your friend can earn is 92%.

To earn a 75% for the course, your friend would need to score a minimum of 18.75% on the final exam.

This is calculated by:

(0.75 - 0.82) / 0.25

= (0.18) / 0.25

= 0.1875 or 18.75%.

As a result, the best course grade your friend can earn is 92% and the your friend would need to score a minimum of 18.75% on the final exam.

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Answer:

To solve for x, you can use the equation 6x = 5. This gives x = 5/6.

Answer:

the answer is diet coke divided by the square root times the 10/4

Step-by-step explanation:

The manager is mistaken in believing that the set of integers is the best domain for this model. The domain in this case represents the times of day when shoes were sold.

Hours are continuous values that can be any real number between 0 and 24. As a result, a set of real numbers such as 0 = t = 14, where t represents the hour of the day, would be a better domain for this model.

The manager wants to achieve by analyzing the data. This could be to gain insights into customer behavior, identify areas for improvement, measure the success of marketing efforts, etc.

The domain of integers would be appropriate only if the number of pairs of shoes sold could only be an integer value, which is not the case for online shoe sales.

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Given that, 3x -2 < 2x+1

⇒3x-2x < 1+2

⇒ x< 3 or x∈ (-∞,3)

Both the lines y=3x -2 and y=2x+1 will meet at x=3.

The black line clearly reveals the solution of 3x -2<2x + 1.

An inequality is formed by two real numbers or two algebraic expressions linked by the symbol ", V, ", or '>'.

As an example: Three, five, and seven are numerical inequalities. Literal inequalities are x 5, y > 2, and x > 3. axe + b 0 and axe + b > 0 are simple inequalities in a single variable.

Slack inequalities in one variable are axe + b 0 and axe + b > 0.

axe + by c, axe + by > c are two-variable strict inequalities.

Slack inequalities in two variables are axe + by c and axe + by > c.

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Answer:

The patient's blood sugar levels should stay within the range of 73 to 93 milligrams per deciliter in order to be considered within the normal range. Any blood sugar level below 73 milligrams per deciliter or above 93 milligrams per deciliter should be monitored closely and adjustments may need to be made to their diet or medications.

Answer: The equation -0.67x + 0.47x = 6.4 is equivalent to -0.2x = 6.4

Step-by-step explanation: To solve this equation for x, we can divide both sides of the equation by -0.2

x = 6.4 / -0.2

x = -32

Therefore, x = -32 is the solution to the equation -0.67x + 0.47x = 6.4

This solution represents the value of x that makes the equation true.

This fraction can be simplified to its lowest terms, which is 8/15.

In mathematics, a fraction is in its lowest terms when its numerator and denominator cannot be divided by any other number than one. This means that the numerator and denominator of the fraction do not share any common factors, except one. To convert a fraction to its lowest terms, divide the numerator and denominator by any common factors they may have.

To solve this problem, we need to first convert both fractions to have the same denominator. To do this,

we can multiply the denominator of 4/9 by 5/5,

which is equal to 20/45.

Then, we can multiply the denominator of 6/15 by 3/3,

which is equal to 18/45.

Now that both denominators are the same,

we can add the numerators together to get a sum of 8/15.

This fraction can be simplified to its lowest terms,

which is 8/15.

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