factorise fully the following 3x^3 - 9x​

The mentioned data of 50 kilometres in hours is speed of 50 kilometres per hour.

The 50 kilometres refere to the distance and hour is representative of time. Now, ratio of distance and time indicates the speed or rate of movement of the concerned thing.

The speed or rate of movement holds significance in real world calculations. Based on it, the speed of bucket carrying water from well can be increased or decreased, movement of vehicles which may cause accident, distance covered by trains, airplanes, ships and other transport objects by specific speed in particular time limit.

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From the production set, we can choose 8.803884057 × 10¹⁵² different samples.

Given,

The total microchips in a production run = 60

Number of microchips are defective in 60 = 3

Sample selected to check the defect = 5

We have to find the number of different samples of 5 can be chosen from the production run of 60;

Here,

Combinations formula:

According to the following formula, Cₙ, ₓ is the quantity of distinct combinations of x objects from a group of n members.

Cₙ, ₓ = n! / x! (n - x)!

Number of samples we can choose;

We are choosing 5 microchips from a set of 60.

Then,

C₆₀,₅ = 60! / 5! (60 - 5)! = 8.803884057 × 10¹⁵²

So,

We can choose 8.803884057 × 10¹⁵² different samples from the production set.

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A) Reject H0 if F > 5.417.

B) We conclude that the average number of months before a raise was granted varied between the four CPA firms at the 0.05 level of significance but are unable to rule out the null hypothesis.

Given,

a) According to the table, the values for df1 and df2 are 3 and 15, respectively. Furthermore, a significance cutoff of = 0.01 is offered.

An additional f-value of 1.75 is given.

Given the significance level of = 0.01 and the corresponding values of df1 and df2 from the f-distribution table, we have;

F-critical 5.417

Normally, we reject H0 if F > 5.417.

We conclude that we do not rule out H0 at the 0.01 level of significance in this case because F is 1.75 5.417.

b) Using the values of df1 = 3 and df2 = 15 for 0.05 level of significance from the second linked table, we have

F-critical has a value of 3.2874.

The f-value is once more less than this significant one.

As a result, we cannot conclude that the average number of months until a raise was granted varied among the four CPA companies at the 0.05 level of significance and reject the null hypothesis.

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Answer:

Step-by-step explanation:

Slope is "rise over run" or change is y values divided by change in x values

the change is x values is zero. 8-8=0. Anything divided by zero is infinity.

the slope is infinite. The line connecting the 2 points is a vertical line, x=8.

Vertical lines have infinite slope.

The face value of a 10-year term insurance policy on a 24-year-old male will be $75,000 based on the amount paid per $1,000 of face value.

A contract for insurance provides protection from losses resulting from particular calamities or risks on the part of the insurer. It assists in against financial loss for the insured person or their family. The most prevalent types of insurance are life, health, homeowners, and auto.

Face value of the insurance policy

The formula use to calculate face amount is

= 1,000 x (Annual premium paid / Amount paid for $1,000 of coverage for a male 24 year old for a 10 year insurance)

How to solve:

= 1,000 x (359.25 / 4.79)

= 1,000 x 75

= $75,000

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The value of the expression 37 + 5/9n = -1/2 is -67.5.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

The expression is given as:

37 + 5/9n = -1/2

Collect the like terms

5/9n = -1/2 - 37

5/9n = - 37 1/2

0.5556n = -37.5

Divide

n = -37.5 / 0.5556

n = -67.5

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Complete question

Evaluate the expression for the given value of the variable.

37 + 5/9n = -1/2

Answer:

Step-by-step explanation:

15% of 3,000 is 450

The symbolic equation for the location of the center of mass of 3 beads is [tex]x_{cm}[/tex] = m1d1 + m2 (d1 + d2) + m3 ( d1+d2+d3)/ m1 + m2 + m3

Mass of 1st bead = m1 = 22 g

Mass of the 2nd bead = m2 = 12 g

Mass of the 3rd bead = m3 = 51 g

Distance of the 1st bead from left end of the rod = d1 = 1.5 cm

Distance of the 2nd bead from the first bead = d2 = 1.9 cm

Distance of the 3rd bead from the second bead = d3 = 4.5 cm

Location of the center of mass of the three beads relative to the left end of the rod = xcm

We want to find the center of mass relative to the left end of the rod therefore we will need the distances of each bead from the left end of the rod.

Distance of the first bead from the left end of the rod = x1

x1 = d1

Distance of the second bead from the left end of the rod = x2

x2 = d1 + d2

Distance of the third bead from the left end of the rod = x3

x3 = d1 + d2 + d3

[tex]x_{cm}[/tex] = m1 x1 + m2 x2 + m3 x3 / m1 + m2 + m3

[tex]x_{cm}[/tex]= m1(d1) + m2(dı + d2) + m3(d1 + d2 +d3)/ m1 + m2 + m3

[tex]x_{cm}[/tex] = m1d1 + m2 (d1 + d2) + m3 ( d1+d2+d3)/ m1 + m2 + m3

Substituting the values to get a numerical answer,

[tex]x_{cm}[/tex] = (22)(1.5) + (12)(1.5 +1.9) + (51)(1.5 +1.9 +4.5) 22 + 12 + 51

xcm = 5.61 cm

Location of the center of mass of the three beads relative to the center bead = x

Distance of the first bead from the center bead (second bead) = x4

x4 = -d2 (Negative as it is to the left of the second bead)

Distance of the second bead from the center bead (second bead) = x5 = 0 cm

Distance of the third bead from the center bead (second bead) = x6

x6 = d3

x = m1 x4 + m2 x5 + m3 x6/ m1 + m2 + m3

x = m1 ( - d2) + m2 (0) + m3 (d3) / m1 + m2 + m3

x = - m1 d2 + 0 + m3d3 / m1 + m2 + m3

x = m3d3 - m1 d2 / m1 + m2 + m3

Substituting the values to get a numerical answer,

x= (51) (4.5) - (22)(1.9)/22 + 12 + 51

x = 2.21 cm

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Answer:

angle L= 55 degrees

Angle Lmk= 62 degrees

Step-by-step explanation:

we will find Lmk first by subtracting 118 by 180
180-118

62

Now the sum of all the three angles of any triangle equal 180

so we can set all these angles equal to find x

(6x-9)+(4x+7)+62=180

10x-2+62=180

10x+60=180

     -60. -60

10x=120

/10.  /10

x=12

4(12)+7

48+7

55

Hopes this helps have a wonderful day

479,001,600 necklaces can be made using 13 different beads.

We will be using 13 different beads in our necklace, and the arrangement of the beads is what distinguishes one necklace from another.

Additionally, the mirrored necklaces are different because we are unable to turn the necklaces around (the positions of the beads are mirrored)

We have 13 alternatives for the first bead, 12 options for the second, and so on.

if the product of the options for each choice results in a total number of combinations equal to 1, then we have:

Combinations of the form C=13*12*11*10*9*8*7*6*5*4*3*2*1

C = 6,227,020,800.

Now that the necklace may be rotated, a combination is possible.

A B C D E F G H I J K L M (Each letter corresponds to a certain bead)

is identical to other orders as

A through Z: m A B C D E F G H I J K L

With 13 rotations for each combination, the actual number of combinations is:

C/13 = 6,227,020,800/13 = 479,001,600

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Answer:

x = 3.

Step-by-step explanation:

To solve this equation, we first need to get all the terms containing the variable x on one side of the equation and all the constants on the other side. We can do this by adding 8 to both sides of the equation. This will give us:

$$-(7x-8) + 8 = 2-5x + 8$$

Next, we can simplify the left side of the equation by combining the two terms:

$$-7x + 8 + 8 = 2-5x + 8$$

This gives us:

$$-7x + 16 = 2-5x + 8$$

Now, we need to get all the x terms on one side and all the constants on the other side. We can do this by adding 5x to both sides of the equation:

$$-7x + 16 + 5x = 2-5x + 8 + 5x$$

This gives us:

$$-2x + 16 = 2 + 8$$

We can simplify the left side of the equation by combining the two terms:

$$-2x + 16 = 10$$

Now, we need to get all the x terms on one side and all the constants on the other side. We can do this by subtracting 16 from both sides of the equation:

$$-2x + 16 - 16 = 10 - 16$$

This gives us:

$$-2x = -6$$

To solve for x, we need to divide both sides of the equation by -2:

$$\frac{-2x}{-2} = \frac{-6}{-2}$$

This gives us:

$$x = 3$$

Therefore, the solution to the original equation is x = 3.

The required simplified value of the function at x = 2 is -23.

An expression, [tex]f(x) = x^4-8x^3+4x^2+6x-3,[/tex] solution of the expression at x = 2 is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,

In order to simplify the given expression association of the terms that have equal value in the exponent.
[tex]f(x) = x^4-8x^3+4x^2+6x-3,[/tex]

Put x = 2
[tex]f(2) = 2^4-8*2^3+42^2+6*2-3,[/tex]
f(2) = -23

Thus, the required simplified value of the function at x = 2 is -23.

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The percentage  growth rate would the population show in the absence of constraints is 22%

A logistic model is modeled by the function

N = K/1+be^rt

where, the constant k represents carrying capacity,

the constant b is formed by b = k/n(o) - 1

the value of r will be the intrinsic exponential growth rate and t represent time.

⇒ If there is no limiting factors, then the logistic model would be exponential according to formula:

N = N(0)e^rt

Since the corresponding growth factor for this exponential function is a = e^r

so the variable r can be obtained from a using :

r = ln a

a = e^r

given r= 0.2

a = ?

a = e°·²

a = 1.221

a = 1.22

⇒ 1.22 -  1 = 0.22

0.22×100 = 22%

Hence we get the percentage growth as 22%.

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Answer:

x= -2

Step-by-step explanation:

5x+1/3=1/3x-9

-1/3x.      -1/3x

4 2/3x+1/3= -9

           -1/3.  -1/3

4 2/3x= -9 1/3

14/3x= -28/3

/14/3.    /14/3

x= -28/3*3/14

x= -84/42

x= -2

hopes this helps please mark brainliest

Answer:

x = -2

Step-by-step explanation:

5x + 1/3 = 1/3x - 9

5x - 1/3x + 1/3 = -9

5x * 3                           15x

       --               >           --              (remember -> 5x is the same as 5/1x)

       3                            3

15x/3 - 1/3x + 1/3 = -9

14x/3 + 1/3 = -9

14x+1/3       = -9              (14x + 1 is ALL over 3)

Now multiply by 3 on both sides to cancel out the denominator since 3 is the denominator.

14x + 1 = -27

14x = -28

(divide by 14 to both sides)

x = -2

When making decisions: c) appropriate weight must be given to both quantitative and qualitative factors.

Decision-making is a difficult process, especially when the issue at hand is complex and the significance of the outcome impacts the stakeholders. Decision-making is his five-step process. Recognize situations that require decision making. identifying and developing alternative courses of action; evaluating alternatives; choosing one of the alternatives and carrying out the chosen steps.

Quantitative decisions are primarily based on statistical analysis of collected data, whereas qualitative decisions are based on many algorithms such as data type and quality, factors influencing collected data, and risk assessment. It is based on more than just numeric data values ​​to make decisions.

Quantitative factors are the basis of numerical determination. The impact of the decision on stakeholders and their reactions. investment valuation; break-even analysis; market research; sales forecasting; critical path and decision tree analysis. Qualitative factors consider other aspects that can influence the outcome of a decision, such as a SWOT (Strength Weakness Opportunities Threats) analysis. HR management issues such as motivation, morale and retention. PEST (Political, Economic and Social Technology); Advertising and Propaganda; Long-Term Survival/Development Issues and Stakeholder Analysis.

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To find the cost of one pie, we need to divide the total cost by the number of pies. In this case, that would be $75.80 / 4 = $<<75.8/4=18.95>>18.95. Therefore, each pie cost $18.95.

Step-by-step explanation:

a. The temperature in Rome is 11 degrees and in Oslo is 2 degrees. To find the difference, you subtract the two. 11-2=9

The temperature difference is 9 degrees.

b. Kiev is 1 degree. It gets 6 degrees warmer. Add 1+6=7

Kiev is 7 degrees at 6 pm.

Answer: 2x

Step-by-step explanation:

Answer:

3+i

Step-by-step explanation:

|3+i| is just 3+i because it is already positive.

Answer:

-4

Step-by-step explanation:

First find the slope of the original line

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\\frac{1-0}{4-0} \\\frac{1}{4}[/tex]

Slope = 1/4

Then take it's negative reciprocal to get the slope of the perpendicular line by dividing 1 by the slope and then changing the sign

-4  

Answer:

Step-by-step explanation:

15

Answer:

e

Step-by-step explanation:

Answer:

[tex]529\pi[/tex] cm²

Step-by-step explanation:

[tex]d=46 \implies r=23 \\ \\ A=\pi r^2=\pi (23^2)=529\pi[/tex]

Answer: A.

Step-by-step explanation:

It can't be C or D because if you plug the y and x in, it will make the equation become not true!

Let's test the point (2,4)

y= x^2 + 2

4 = 6

This is not true, so C and D are wrong!

It can't be B because this graph is a linear function; you can test it using the line test.

So answer is A

Answer:

4/3

Step-by-step explanation:

4-8/2-5

-4/-3

4/3

hopes this helps

Answer: 4/3 is the slope

The time is required for a 5.75 mg sample of 51cr to decay to 0.700 mg is 99.4 days

What is decay constant?

Decay constant k = ln(2) / half life

= ln(2) / 27.8

= 0.024933 day⁻¹

For first order decay:

ln(M / M₀)  = -kt

where M is mass remaining at time t and  M₀ is initial mass.

ln(0.700/5/75) = -0.024933 * t

Time, t = 99.4 days

Hence, time is required for a 5.75 mg sample of 51cr to decay to 0.700 mg is 99.4 days.

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1760 ft² area will be covered with 11 gallons of paint.

When two quantities are related in a linear relationship, then that arrangement is said to be in proportion.

Given that, a proportional relationship between gallons of paint and the area of the set.

The relation is :-

x (gallon of pain)  y (area)

2.5                            400

4                                640

7.5                             1200

11                                 ?

Establishing the proportion,

Area covered in 1 gallon =

400/2.5 = 640/4 = 1200/7.5 = 160 ft²

That means, in 1 gallon, there will be 160 ft² area covered.

Therefore, in 11 gallons = 160×11 = 1760 ft²

Hence, in 11 gallons, 1760 ft² area is being covered.

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Answer:

minor arc KM = 60°

Step-by-step explanation:

the measure of an arc is equal to the measure of the central angle that subtends it , then

arc KM = ∠ KLM = 60°