Which is a stretch of an exponential decay function?

Mr Yang needs to be aware of his legal position before opening his new company, given his history as a director and auditor. He should seek professional advice to ensure that he complies with all the legal requirements and regulations and avoids any potential legal consequences.

It is important for Mr Yang to understand his legal position before opening a new company, given his history as a director of previously wound-up companies and as an auditor of his wife's company. Mr Yang should take into account the Companies Act 2016, which outlines the legal responsibilities and obligations of company directors, as well as the potential consequences of breaching these obligations.
Under the Companies Act 2016, a director has a fiduciary duty to act in the best interests of the company and its shareholders. They are required to exercise due care, skill, and diligence in carrying out their duties, and to avoid conflicts of interest. If a director breaches these obligations, they can be held personally liable for any losses suffered by the company.Given that Mr Yang's previous companies were wound up, it is possible that he may have breached his legal obligations as a director. If this is the case, he could face legal action or be disqualified from acting as a director in the future. Furthermore, as an auditor of his wife's company, Mr Yang should ensure that he is fulfilling his legal responsibilities and carrying out his duties impartially and professionally.In terms of setting up a new company, Mr Yang should ensure that he complies with all the legal requirements and regulations governing the incorporation of a limited by shares company. This includes registering the company with the Companies Commission of Malaysia (SSM), obtaining the necessary licenses and permits, and adhering to the requirements of the Companies Act 2016.

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Let the first angle be x

So, second angle = (x+15)°

and third angle= (x+ 45)°

Now,

x+ (x+15) + (x+45)= 180°. ( Triangle sum property)

x+x+x+15°+45° = 180°

3x+ 60° = 180°

3x= 180°-60°

3x= 120°

x= 120°/3

x= 40°

Now,

first angle=x= 40°

second angle = (x+15)°= 40°+15° = 55°

third angle= (x+45)° = 40°+45° = 85°

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Answer:

It is A ( read below )

Step-by-step explanation:

There are two VERY similar looking ap3x questions, this one is A but if you look closely on the rightside triangle the angle may say 24 not 25. This is why!

The corresponding angles of the triangles ΔABC and ΔDEF will be the same. Thus, the correct option is A.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The corresponding angles of the triangles ΔABC and ΔDEF will be the same.

And the ratio is calculated as,

6/8 = 7.5/10

3/4 = 3/4

Thus, the correct option is A.

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The sequence given is known as the Collatz sequence or the Hailstone sequence.

According to the given sequence,

if a value is even, divide it by 2 and if it is odd, multiply it by 3 and add 1.

This process of operation must continue until the number 1 is reached.

Suppose the first number in the sequence is x, and then we can define the sequence as a 0 = x;an+1 = an / 2,

if an is even; an+1 = 3 X an + 1, if an is odd.

The sequence will continue in this manner until we reach the value of ak = 1.

The value of k is unknown, and it is believed to be an unsolvable problem, and it is known as the Collatz conjecture. There have been numerous efforts to solve this problem, but it has yet to be solved by mathematicians.

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Answer:

A

Step-by-step explanation:

GCF is greatest common factor, which means that it is the greatest number all the numbers can be divisible by

for these numbers it is 12

Hey there!

Finding the GCF (Greatest Common Factor) of 12, 24, & 48

List of the factors

• 12: 1, 2, 3, 4, 6, & 12

• 24: 1, 2, 3, 4, 6, 8, 12, & 24

• 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, & 48

Common factors

• 1, 2, 3, 4, 6, & 12

Biggest numbers out of the factors

• 6 & 12

GREATEST common factor

• 12

Therefore, your answer is: GCF (Greatest Common Factor) → 12

• Option A.

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The expected value of z, e(z), is 12 and the variance of z, v(z), is 90. The expected value of the random variable z, defined as z = 2x - 3y + 5, can be determined using the properties of expected values. The value of e(z) is calculated as 2e(x) - 3e(y) + 5.

Similarly, the variance of the random variable z, denoted as v(z), can be determined using the properties of variances. The value of v(z) is calculated as 2^2v(x) + (-3)^2v(y), since x and y are independent random variables.

Given e(x) = 8, e(y) = 3, v(x) = 9, and v(y) = 6, we can calculate the expected value and variance of z.

e(z) = 2e(x) - 3e(y) + 5

    = 2(8) - 3(3) + 5

    = 16 - 9 + 5

    = 12.

Therefore, the expected value of z, e(z), is 12.

v(z) = 2^2v(x) + (-3)^2v(y)

    = 2^2(9) + (-3)^2(6)

    = 4(9) + 9(6)

    = 36 + 54

    = 90.

Therefore, the variance of z, v(z), is 90.

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Answer:

$2.12

Step-by-step explanation:

First, let's find the area of Jennifer's envelope: 20 cm x 12 cm = 240 square cm.

Since the area needs to be rounded up to the next multiple of 50 square cm, we will round up 240 square cm to 250 square cm.

Next, let's round up the weight of the letter to the next multiple of 40 grams: 125 grams rounded up to 140 grams.

Now that we have the rounded up values for both weight and area, we can use the formula to find the postage charge:

20 cents per 50 square cm x (250 square cm ÷ 50) = 100 cents

32 cents per 40 grams x (140 grams ÷ 40) = 112 cents

So the total postage charge will be 100 cents + 112 cents = 212 cents = $2.12.

Therefore, the postage charge for Jennifer's letter will be $2.12.

Aɳʂɯҽɾҽԃ Ⴆყ ɠσԃKEY ꦿ

Answer:

The surface area of a closed cylinder is given by the formula 2πr^2 + 2πrh, where r is the radius and h is the height.

Substituting r = 4 and h = 6, we get:

Surface area = 2π(4^2) + 2π(4)(6)

Surface area = 2π(16) + 2π(24)

Surface area = 32π + 48π

Surface area = 80π

So, the surface area of the closed cylinder is 80π square inches.

The car οvertakes twο buses οn its way tο the city center with the given time and distance.

On its jοurney tο the city centre, the autοmοbile wοuld never pass any buses if it mοved at the same pace as the bus. This is due tο the fact that if bοth the autοmοbile and the bus are mοving at the same speed, their separatiοn will remain cοnstant. Hence, withοut passing any buses, the autοmοbile wοuld arrive in the city centre at the same time as the bus.

Let us suppοse the distance = p.

The distance travelled by the bus in 60 minutes is d/60.

The distance cοvered by the bus in 35 minutes is:

d/60(35)

Fοr the first bus:

It leaves 60 minutes befοre car, thus the distance travelled is:

(d/60) x 60.

If the car οvertakes thus bus by an additiοnal distance x, then the distance travelled by car is:

d = (d/60) x 35 + (d/60) x 60 + x

d = (5/12)d + x

x = 7/12 d

Fοr the secοnd bus:

The bus wοuld have left the airpοrt 120 minutes befοre the car:

(d/60) x 120

The distance cοvered by car with additiοnal distance y is:

d = (d/60) x 35 + (d/60) x 60 + (7/12)d + y

d = (5/6)d + y

y = 1/6d

The car οvertakes the bus thus,

(7/12)d + (1/6)d = d

d = 12/5

Therefοre, the car οvertakes twο buses οn its way tο the city centre.

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The side lengths of the triangle are 17, 144, 145.

Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. A polygon includes a triangle.

Triangle's characteristics:

Let x be length of smaller side of triangle

25 + 7x = longer length

26 + 7x = hypotenuse

(26 + 7x)² = (25 + 7x)² + x²

676 + 364x + 49x² = 625 + 350x + 49x² + x²

x² -14x - 51 = 0

(x - 17)(x + 3) = 0

x = {-3, 17}

But length cannot be negative.

∴The sides are 17, 144, 145.

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The function that models the relationship between the two points is y = 2.5x + 95, which is option D. To determine the function that models the relationship between the two points (2, 100) and (4, 105), we will make use of the slope-intercept form of a linear equation.

The slope-intercept form of the linear equation is given by:y = mx + b

where m is the slope of the line, and b is the y-intercept of the line.

To find the slope, we use the slope formula which is given as:

m = (y₂ - y₁) / (x₂ - x₁)

Where (x₁, y₁) = (2, 100) and (x₂, y₂) = (4, 105).

m = (105 - 100) / (4 - 2)

m = 5/2 = 2.5

So, the slope of the line is 2.5.

Now we substitute the slope and one of the points (2, 100) into the slope-intercept form of the linear equation to find the y-intercept, b.100 = 2.5(2) + b

100 = 5 + b

b = 100 - 5

b = 95

Thus, the function that models the relationship between the two points is y = 2.5x + 95, which is option D.

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0 is a natural number, which is an example of an axiom. Another example of the axiom is there is always a single line that connects any two distinct places. The theorem example includes Pythagoras' theorem which is proved to be true.

What is a theorem postulate and theorem?

A mathematical axiom is a statement that, in the absence of evidence, is taken to be true. A theorem in mathematics is a statement that is believed to be true and right and is known as an axiom or postulate. These are general truths that are accepted by all. Axiom and postulate are essentially synonyms in geometry. Propositions that were "clearly true" in antiquity just needed to be stated, not demonstrated and were referred to as such. Axioms are no longer assumed to be "clearly true" in modern mathematics. Simply put, axioms are "background" presumptions we hold.

A mathematical assertion that has been rationally established and proven to be true is called a theorem. A theorem is an axiom's logical conclusion. The "propositions" in geometry are all theorems that are derived from axioms and legitimate rules.

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Answer:

C is the anser on edege

Step-by-step explanation:

Answer:

2 3 5 on edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x-4)(x-4) or (x-4)^2

Answer:

X = 814 rounded to 4 decimal place = 8140

Step-by-step explanation:

Hope this helped.

Answer: b

Step-by-step explanation:

Answer:

y = - x² + 4

Step-by-step explanation:

The equation of a parabola whose vertex is on the y- axis is

y = ax² + c

where a is a multiplier and c is the y- intercept

• If a > 0 then minimum vertex

• If a < 0 then maximum vertex

Here vertex is a max, thus a = - 1 and c = 4

Then equation of parabola is

y = - x² + 4

Answer:

12.4

Step-by-step explanation:

The identities used by student A is

1 - sin²x= cos²x

sin x/ cos x = tan x

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have to prove (tan x)(sin x) = sec x − cos x.

Now, student A and student B perform the proof.

Student A starts with tan x sin x then approaches to prove sec x - cos x.

So, Student A complete the proof.

But, student B starts with tan x sin x but failed to prove sec x - cos x.

The identities used by student A is

1 - sin²x= cos²x

sin x/ cos x = tan x

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Answer:

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When the weight moves from x = -8 cm to x = 8 cm, the spring moves from its maximum stretched position to its maximum compressed position.Hence, the spring oscillates between its maximum stretched and compressed positions when the weight is set in motion. Therefore, the spring is a simple harmonic oscillator.

Given: Displacement x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0. To find: What is the spring?Explanation:We know that displacement is given by x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0.Comparing this with the standard equation, x

= Acos(ωt+ φ)A

= amplitude

= 8 cmω

= angular frequencyφ

= phase angleWhen the spring is at equilibrium position, the weight attached to the spring does not move. Hence, no force is acting on the weight at the equilibrium position. Therefore, the spring is neither stretched nor compressed at the equilibrium position.Now, the spring is set in motion resulting in a displacement of x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0. The maximum displacement of the spring is 8 cm in the positive x direction. When the weight is at x

= 8 cm, the restoring force of the spring is maximum in the negative x direction and it pulls the weight towards the equilibrium position. At the equilibrium position, the weight momentarily stops. When the weight moves from x

= 8 cm to x

= -8 cm, the spring moves from its natural length to its maximum stretched position. At x

= -8 cm, the weight momentarily stops. When the weight moves from x

= -8 cm to x

= 8 cm, the spring moves from its maximum stretched position to its maximum compressed position.Hence, the spring oscillates between its maximum stretched and compressed positions when the weight is set in motion. Therefore, the spring is a simple harmonic oscillator.

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The displacement of the weight attached to the spring is given by the equation x = 8 cos t. The amplitude of the motion is 8 centimeters and the period is 2π seconds.

The equation x = 8 cos t represents the displacement of a weight attached to a spring in simple harmonic motion. In this equation, x is measured in centimeters and t is measured in seconds.

The amplitude of the motion is 8 centimeters, which means that the weight oscillates between x = 8 and x = -8.

The period of the motion can be determined from the equation T = 2π/ω, where ω is the angular frequency. In this case, ω = 1, so the period T is 2π seconds.

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Answer:

Is there anything else to this question cause it's confusing and I would help you but if there is more information

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

None of these choices are correct.

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

3x + 12 and 105 are alternate exterior angles because A || B and B || C.

If the two or more lines are parallel, then the alternate exterior angles are equal.

3x + 12 = 105

Substract 12 on both sides,

3x = 105 - 12

3x = 93

Divide 3 on both sides,

x = 93 / 3

x = 31

Answer:

13.75x = 3,255 + 2.90x

Step-by-step explanation:

Given that,

Amount invested on computer hardware = $3,255

Amount invested to buy and package each disk = $2.90

Selling price for each program = $13.75

We need to find the equation that is used to find how many disks you must sell to break even. Let there are n disks that you must sell.

ATQ,

$3,255 is a fixed amount. $2.90 and $13.75 depends on x.

So,

13.75x = 3,255 + 2.90x

We can solve the above equation to find the no. of disks.

13.75x - 2.90x = 3255

10.85x = 3255

x = 300

Hence, you must sell 300 disks to break even.

Answer:

X=2

Step-by-step explanation:

H(x)=5x-1

9= 5x-1

10=5x

X= 2

Answer:

295.2

Step-by-step explanation: