Solve x^2-3x=-8. Please explain

If new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants is false.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given,

We need to check whether if new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants is true or false.

The given statement is false because Primary data collection is a process of collecting original data, directly from the source.

Hence, if new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants is false.

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The required five equation of linear equation are given below.

A linear equation is a mathematical condition of the structure y=mx+b. including just a steady and a first-request (straight) term, where m is the incline and b is the y-catch. At times, the above is known as a "direct condition of two factors," where y and x are the factors.

Five examples of linear equation,

1) 2x – 3 = 0

2) 2y = 8

3) m + 1 = 0

4) x/2 = 3

5) x + y = 2

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The mean absolute deviation (MAD), a measure of variability, illustrates the typical distance between an observation's mean and its variation. MAD uses the data's original units to facilitate interpretation.

Greater values indicate a wider range of data points than the average. The term "variability" refers to how much a data collection varies from one constituent to another. Variability measures reflect the level and magnitude of change within the data collection.

The interquartile range and the mean average deviation are the two methods for calculating variability that are required by the requirements for sixth-grade pupils.

The majority of the data values are fairly near to the mean, as shown by a tiny mean absolute deviation. We can infer from a large mean absolute deviation that numerous data values are dispersed widely from the mean.

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The probability that a college student will get to work in 30 mins or less is 0.4 or 40%.

What does uniformly distributed probability mean?

Uniform distribution refers to a type of probability distribution in which all outcomes are equally likely to occur.

According to the given question:

Since the time is uniformly distributed, every possible travel time has the same likelihood of occurring.

Lower boundary (L) = 20 minutes

Upper boundary (U) = 45 minutes

The probability that a student finishes her trip in 30 minutes or less is:

P (t ≤ 30) = (30 - L)/(U - L)

              = (30 - 20)/(45 - 20)

              = 10/25

              = 0.4 or 40%

The probability that she will get to work in 30 mins or less is 0.4 or 40%

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Answer:

V=HWL

54cm³

Step-by-step explanation:

V=HWL

∴V=9*2*3

V=54cm³

Yes. A leg of a right triangle can indicate the distance that separates two vertical or horizontal points, and the hypotenuse can represent the distance between two non-vertical or non-horizontal points.

We can use this theorem to calculate the distances between two locations on a coordinate grid. Consider the following example using the points:

( 3, 4 ) and ( − 2, 1 )

We can see how to make a right triangle with the hypotenuse as that of the line connecting these two spots. A right angle is formed at the coordinates ( 3, 1), where the vertical line from ( 3, 4 ) and the horizontal line from ( 2, 1 ) intersect.

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The value under the radical is 8

How many times you should multiply a number depends on its power. Exponents and indices are other names for powers. For instance, 82 may also be referred to as "8 to the power 2," "8 to the second power," or just "8 squared."

Exponents and powers can be used to represent extremely large or extremely small numbers in a more straightforward way. To illustrate 3 x 3 x 3 x 3 in a straightforward manner, for instance, we could write it as 34, where 4 is the exponent and 3 is the base. It is said that the entire statement 34 has power.

Due to it,

1250^(3/4)

Having said that,

Since n is an integer number,

Greater than x is n.

actual number a

Therefore,

1250^(3/4)=5^(3) *((4)root(2)^3

1250^(3/4)=125 *((4)root(2)^3

Therefore, the value that is still below the radical is 8.

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Specialized language is language that is distinctive and pertinent to a particular industry.

Language that is relevant to and distinctive of an industry is referred to as specialised language.

They contend that it could only have occurred with the emergence of specific psychological skills, explaining why language is only found in humans.

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The point, M, that is midway between P=(5,−8,−6) and Q=(-7,-2,-8) is

In geometry, the midpoint formula is an equation that determines the separation between two known coordinate locations at their halfway point.

The midway between the points P and Q is calculated using the method

Mid point = ((x₁ + x₂)/2, (y₁ + y₂)/2, (z₁ + z₂)/2)

Applying the method to the given points gives

P = (5, −8, −6) and Q = (-7, -2, -8)

M = ((5 + -7)/2, (-8 + -2)/2, (-6 + -8)/2)

M = (-1, -5, -7)

The coordinates of point M (-1, -5, -7) is the mid way between point  P=(5,−8,−6) and Q=(-7,-2,-8).

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The use exponential regression to model C as an exponential function t is C=29.490×1.076t.

Given that,

In the picture we can see the full question.

That is

The table shows the estimated value C, in dollars, of an 1877 Indian Head Cent in very fine condition t years of 1950.

The table has 2 columns

t=time in years                      C= value

since 1950                           in dollars

       0                                          25

      30                                        400

      45                                        625

      54                                        1750

      60                                       2000

We have to find the use exponential regression to model C as an exponential function t.

We know that,

The base reciprocal's multiplication factor is indicated by a negative exponent. For instance, it can be expanded as 1/aⁿ if aⁿ is given. It implies that we must multiply a's inverse, or 1/a, by n. When writing fractions with exponents, negative exponents are employed.

Therefore, The use exponential regression to model C as an exponential function t is C=29.490×1.076t.

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Answer:

The answer you are looking for would be 60% off.

Step-by-step explanation:

On a calculator, set up this equation:

0.60 x 49.99 = 29.994, rounded is $30.00

(Do this with all answer choices, just replace 0.60 with 0.70, 0.40 and so on).

But, 60% would be the answer.

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The average rate of change is 37.5.

Define Rate of change

Given function is,

f(x) = 5(2) ^ x

where, x = 1 to x = 5

We know, the formula of rate of change is

Rate of change = ( f(b) - f(a) ) / (b - a)

for x = 5, for that put value of x in given function

f(x) = 5(2) ^ x

f(5) = 5(2) ^ 5

f(5) = 160

for x = 1, for that put value of x in given function

f(x) = 5(2) ^ x

f(1) = 5(2) ^ 1

f(1) = 10

Now, plug in the values in rate of change formula

Rate of change = ( f(5) - f(1) ) / (5 - 1)

                         = ( 160 - 10) / 4

                         = 150 / 4

                         = 37.5

Hence, the average rate of change is 37.5

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The monthly finance charge is 63 cents.

Here we have to find the monthly finance charge.

The given data:

Average daily balance = $30

The daily periodic rate = 0.07%

The number of days in a cycle is 30.

The formula to find the finance charge:

Finance charge = APR balance × number of days in billing cycle / 365

As it is given a daily periodic rate this means that:

APR / 365 = 0.07%

                = 0.0007

Hence, putting the value in the formula we have:

Finance charge = 0.0007 × 30 × 30

                         = 0.63

As we know that $1 = 100 cents

So finance charge = 0.63 × 100

                               = 63 cents

Therefore the finance charge is 63 cents.

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Based on the Number of students who use mobile in a traditional class,

The joint relative frequency of students who use mobile in traditional classes is 62.162%

What is Joint Relative Frequency?

Joint relative frequency is defined as the ratio of the frequency that is not in total rows or the total columns to the frequency of total rows or columns.

According to the given information:

Courses/devices  Traditional class  Online class  Total rows

Computer                        28                      62                  90

Mobile device                 46                      64                  110  

Total Columns                74                      126                 200

Total Number of students who opted for traditional classes = 74 Number of students who use a mobile phone in traditional class = 46

Joint relative frequency of students who use mobile in a traditional class

                 = Number of students who use mobile in traditional class/Total

                    students who opted for traditional classes

                 = 46/74

Percentage of Joint relative frequency = 46/74 ×100      

                                                                   = 62.162%

Based on the Number of students who use mobile in a traditional class,

The joint relative frequency of students who use mobile in traditional classes is 62.162%

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Answer:

£10

Step-by-step explanation:

3:4 is equal to 3/4 (three-quarters)

Paul gets 75%, and Brian gets 25%.

Paul gets £30.  30 is 3/4 of what number?

75/100 × x = 30

Multiply both sides by 100 and divide both sides by 75

x = 30 × 100/75

x = 30 x 1.33333333333

x= 40

£30 is 75% of £40

30/40 x 100 = 75%

10/40 x 100 = 25%

Brian gets £10

The value of the unknown is 6

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

the expression -1 1/8 - 3/4 = -1 1/8 - ?/8 shows that

-3/4=-?/8

the LCM of the denominator of two fractions is 8

multiply both sides by 8

-3/4×8=-?/8×8

therefore,. -? = -3×2

?= 6

Therefore the value if the unknown is 6

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The fraction is expressed with a common denominator as - 15/ 8

A fraction is simply described as the part of a whole, element or number.

There are several types of fractions, which includes;

From the information given, we have  the fractions;

-1 1/8 - 3/4.

Convert the mixed fraction to improper fraction

- 9/ 8 - 3/4

Find the Lowest common multiple

-9 - 6  /8

Subtract the numerators

-15/ 8

Hence, the value of the expression is -15/8

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The 3 phases of the agile life cycle:

The Continuous Delivery: Lean Life Cycle.

The Exploratory (Lean Startup) Life Cycle.

The Program Life Cycle for a Team of Teams.

What is the Agile cycle?

The systematic succession of phases that a product goes through as it develops from start to finish is known as the agile software development life cycle. Concept, conception, iteration, release, maintenance, and retirement are its six phases.

The systematic succession of phases that a product goes through as it develops from start to finish is known as the agile software development life cycle. Concept, conception, iteration, release, maintenance, and retirement are its six phases.

The project management approach a team decides on will have a small impact on the Agile life cycle. For instance, Scrum teams work in sprints, which are brief timeframes akin to iterations. They also have responsibilities that are precisely defined, like Scrum master. Kanban teams, on the other hand, operate more continuously and don't have set roles. Another illustration is Extreme Programming, where teams frequently work in shorter iterations and give engineering practices more attention.

Hence,

The 3 phases of the agile life cycle:

The Continuous Delivery: Lean Life Cycle.

The Exploratory (Lean Startup) Life Cycle.

The Program Life Cycle for a Team of Teams.

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Calculating the obtuse angle or value of a triangle.

Finding obtuse angle value:

steps:

1)  Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together.

For example, if the lengths of the sides measure 4 and 2, then squaring them would result in 16 and 4. Adding the squares together results in 20.

2)  Square the length of the side opposite the obtuse angle. For the example, if the length is 5, then squaring it results in 25.

3) Subtract the combined squares of the adjacent sides by the square of the side opposite the obtuse angle. For the example, 25 subtracted from 20 equals -5.

4)  Multiply the lengths of the adjacent sides together, and then multiply that product by 2. For the example, 4 multiplied by 2 equals 8, and 8 multiplied by 2 equals 16.

5) Divide the difference of the sides squared by the product of the adjacent sides multiplied together then doubled. For the example, divide -5 by 16, which results in -0.3125.

The obtuse angle value is obtained by inverse of cos:

cos^-1(-0.3125)

= 108.209 degrees.

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The required weight of fido the labrador is 40 kilogram.

kilogram is the fundamental unit used to measure weight ans pound is used in UK to measure weight of any object.

As we have given in 10 kilogram, there are 22 pounds. So, one kilogram is equal to 2.2 pound.

We have to find the weight of fido the labrador in kilogram

here,weight in pound is 88

we know that one pound contain 1/2.2 kilogram

So, weight of 88 pound in kilogram = (88)1/2.2

weight in kilogram = 40 kilograms.

Hence, the required answer is 40 kilogram.

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Hence, the total distance traveled by the particle is 16 meters

The velocity function  for a particle moving along a line is given by u(t): 2t-4, for 0 < t < 6 (in seconds)

[tex]Distance(D) = \int\limits^a_b {u(t)} \, dt[/tex]

[tex]Distance(D) = \int\limits^6_0 {(2t-4)} \, dt[/tex]

In this time period velocity will be zero

So, u(t) = 0

2t-4=0

at t=2 seconds, velocity will be zero.

So,

[tex]Distance(D) = |\int\limits^2_0 {(2t-4)} \, dt| +| \int\limits^6_2 {(2t-4)} \, dt|[/tex]

[tex]Distance (D) = |[t^2-4t]\right\{{{2}\atop{0}}\right.|+|[t^2-4t]\right\{{{6}\atop{4}}\right.|[/tex]

[tex]Distance (D) = |[2^{2}-8-0+0]| + |[6^{2} -24-4^{2} +16]|[/tex]

[tex]Distance (D) = |4-8|+|36-24-16+16|[/tex]

[tex]Distance (D) = 4+12[/tex]

[tex]Distance (D) = 16 meters[/tex]

Hence, the total distance traveled by the particle is 16 meters

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The number of three-digit numbers less than $500 that cab be formed is 90.

The formation of the numbers involves the permutation of the first three even digits. Also, permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear.

The sequence include the following:  $1$, $2$, $3$, $4$, $5$,

The number must be less than $500$.

In order to find the number of even digits numbers to be fixed, we select the even numbers.

So, the number of possible arrangements = [tex]6_{P_{2} }[/tex]

[tex]\frac{6!}{(6-2)!}[/tex]

=[tex]\frac{6*5*4*3*2*1}{4*3*2*1}[/tex]

6*5

=30

Similarly, fixing the units digit as 4

The number pf possible arrangements =    [tex]6_{P_{2} }[/tex]

=6*5=30

Fixing the unit digit as 6

The number of arrangements possible is [tex]6_{P_{2} }[/tex]

5*6 = 30

Therefore three-digit even numbers  that can be formed is:

30+30+30=90

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Answer:

u + v = < - 9, - 7 >

Step-by-step explanation:

to sum u and v add the corresponding x and y components of the 2 vectors

u + v

= < - 8, - 5 > + < - 1, - 2 >

= < - 8 - 1, - 5 - 2 >

= < - 9, - 7 >

A complex number is represented as a + bi, where a denotes the real part and bi denotes the imaginary part, to represent it in standard form.

How to find the value of i ?

Its value is fixed which is  √-1

A complex number is, for instance, 5 + 2 i. The same is true for 3+4i.

Consequently, a complex number is a straightforward illustration of the addition of two integers, namely a real number and an imaginary number. There are two distinct halves to it: one is entirely real, and the other is fantastical.

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The statistical relationship between two variables is stronger than 95% of the relationships we would expect to see just by chance.

Statistical relationship:

Statistical relationship defines that  if a change in one variable (X) results in a systematic increase in another (Y).

Given,

A statistical relationship between two variables is considered statistically significant.

Here we need to find if it is stronger than what percent of relationships we'd expect to see by chance.

While we looking into the given question we know that the statistical relationship is stronger then the percent of relationships we'd expect to see by chance is 95%.

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Program in java ,

public int createLicenseNum(int customID){

      licenseNum = (100000 * customID) + licenseYear;  

      return (licenseNum);     }

createLicenseNum method takes customID as its parameter. The formula function :

licenseNum = (100000 * customID) + licenseYear;

100000  is multiplied to the customID and  the result is added  to the licenseYear and is assignedlicenseNum.

When the CreateLicenseNum function is invoked it computes and returns the value of licenseNum as:

licenseNum = (100000 * customID) + licenseYear;

                    = (100000 * 777) + 2014

                    = 77700000 + 2014

licenseNum = 77702014                                                                                                        

Output is:

Dog license: 77702014      

Function call JAVA:

public class CallDogLicense {

public static void main(String[] args) {

DogLicense dog1 = new DogLicense();

dog1.setYear(2014);

dog1.createLicenseNum(777);

System.out.println("Dog license: " + dog1.getLicenseNum()); //calls getLicenseNum to get the computed licenceNum value

return; } }

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As movie ticket prices rise, demand decreases or declines. When the cost of the neighborhood Internet service provider rises, demand likewise decreases. Demand decreases as cappuccino prices rise.

Demand is the quantity of things that consumers are willing and able to purchase at various prices within a specific time frame. The term "demand curve" refers to the relationship between price and quantity demanded. Demand is just a consumer's desire to buy products and services immediately and to pay the price associated with them. Demand can be defined as the quantity of things that consumers are prepared and willing to purchase at various prices within a specific time frame.

Given,

As movie ticket prices rise, demand decreases or declines.

When the cost of the neighborhood Internet service provider rises, demand likewise decreases.

Demand decreases as cappuccino prices rise.

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Answer:

Line A

Step-by-step explanation:

The slope of 2x is a positive slope so it can't be line d(which is negative) or line c(which is horizontal).

That leaves us with lines a and b. 2x is a steep slope and line a has a steep slope while line b has a shallow slope so it is line a.

The number of inflection points can a quadratic polynomial and a cubic polynomial have is zero and one respectively.

For the points of inflection,

We know that the roots of second derivatives give the inflection points of a function,

For inflection point , f(x)'' = 0

(a) For quadratic, there will be f(x)'' independent of x, So, there will be no point of inflection.

(b) For cubic, there is a second derivative have a linear function, So, only one point of inflection.

Any degree polynomial, it has (n-2) points of inflection, where n is the degree of the polynomial.

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Answer: $548.25

Step-by-step explanation: 43 x $8.50 = 365.5 x 1.5 = $548.25