whats the slope for (-3, -4) and (-2, -10)

Answers

Answer 1

Answer:

-6

Step-by-step explanation:

Trust me fam

Answer 2
Slope = y2-y1/x2-x1

=(x1-y1)=(-3,-4), x2-y2)=(-2,-10)

M=-10-(-4)/-2-(-3)

M=-6

Related Questions

True or False? suppose bx and dx both contain positive integers. if adding them produces a negative result, the overflow flag will be set.

Answers

True.

If adding two positive integers results in a negative number, it means that an overflow has occurred. The overflow flag is set when the result of an operation is too large to be represented with the given number of bits.
If bx and dx both contain positive integers and adding them produces a negative result, the overflow flag will be set. This is because when two positive integers are added, the result should also be a positive integer. If the result is negative, it means there was an overflow during the addition process, and the overflow flag will be set to indicate this issue.

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please help
easy points

please helpeasy points

Answers

Answer:

its the fortnite man can i get brainlest plsss

Step-by-step explanation:

You are going to spend no more than 3 hours hiking. During the 3 hours, you will take a 15 minute break. You can hike at a rate of 2.75 miles per hour. What is the greatest number of miles that you can hike?

Answers

Answer:

3 hours minus 15 minutes = 2 hours 45 minutes (2.75 hours)

(2.75 mph)(2.75 hours) = 7.5625 miles

lamar built a large wooden storage box. the box was in the shape of a rectangular prism, as shown below. he covered all the sides of the box with special wallpaper that cost a total of . how much did the wallpaper cost per square foot?

Answers

Without knowing the total cost of the wallpaper or the dimensions of the rectangular prism, it is not possible to determine the cost of the wallpaper per square foot.

To calculate the cost per square foot, we would need to know the total cost of the wallpaper and the total area covered by the wallpaper. Since we do not have this information, we cannot determine the cost per square foot.

In summary, the cost of the wallpaper per square foot cannot be determined without knowing the total cost of the wallpaper and the dimensions of the rectangular prism that Lamar built.

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How many days is in:

3 weeks
5 weeks
7 weeks
9 weeks​

Answers

Answer:

3 weeks 21 days, 5 weeks 35, 7 weeks 49, 9 weeks 63 days

Step-by-step explanation:

Each week is 7 days

3 weeks- 21 days
5 weeks- 35 days
7 weeks- 49
9 weeks- 63

De un bote con 180 caramelos Laura se ha comido una decima parte, Marta una novena parte y Cristina una quinta parte. De lo que queda, Juan se ha comido la mitad. ¿ Cuantos caramelos quedan?

Answers

Answer:

53 caramelos

Step-by-step explanation:

El número total de caramelos en el frasco = 180 caramelos

Para Laura

Laura se ha comido la décima parte de un frasco

1/10 × 180 caramelos = 18 caramelos

Por Marta

Marta una novena

1/9 × 180 = 20 caramelos

Por Cristina

Cristina una quinta.

1/5 × 180 = 36 caramelos.

De lo que queda, Juan se ha comido la mitad.

La cantidad de caramelos que quedan se calcula como:

180 - (18 + 20 + 36)

= 180 - 74

La cantidad de caramelos que quedan = 106 caramelos

Para juan

De lo que queda, Juan se ha comido la mitad.

= 1/2 × 106

= 53 caramelos

¿Cuántos dulces quedan?

= 106 caramelos - 53 caramelos

= 53 caramelos

Por tanto, quedan 53 caramelos.

If lambda belong to R and the domain of f(x) = log lambda x-2/x i [1,2) union (2,3], then lambda belong to

Answers

the value of |x-2| lies between 0 and 1 then λ also lies between 0 and 1. Then λ belongs to (0,1).

In the given question, if λ∈R and the domain of f(x) = \(\sqrt{\frac{log_{\lambda}|x-2|}{|x|}}\) is [1,2)∪(2,3], then λ belong to

The given function is

f(x) = \(\sqrt{\frac{log_{\lambda}|x-2|}{|x|}}\)

The function is belong in between [1,2)∪(2,3]. So

|x-2| ≠ 0  and  |x| > 0

x ≠ 2       and  x > 0

Since the value of x can not be equal to 2 and x value is always greater than 0. So

\(log_{\lambda}|x-2|\geqslant 0\)

The value of |x-2| should be lies between 0 and 1 because x cannot be equal to 2 and greater than 1.

So 0< |x-2| < 1

If the value of |x-2| lies between 0 and 1 then λ also lies between 0 and 1.

Hence, 0 < λ < 1.

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The spacing between lines in the pure rotational spectrum of 7Li^35 Cl is 4.236 x 1040 s-1. The atomic masses for Li and 35Cl are 7.0160 amu and 34.9688 amu, respectively.
Part A Calculate the bond length of this molecule. Express your answer to four significant figures and include the appropriate units. ? ro =

Answers

Significant figures and include the appropriate units is \(r = 1.166 \times 10^{(-10)}\)

Calculate the bond length of this molecule?

Count up all of the bonds. Determine how many bond groups there are between individual atoms. By the total number of bonding groups in the molecule, divide the number of bonds between atoms. X-Ray crystallography is the only reliable method of determining molecule size. This gives you the crystal structure, including the positions of every atom, and you consequently know the size of the molecule. Any substance that can be crystallised can be used in this procedure, even huge molecules like protein and DNA.

spacing between lines \(=4.236*10^{10} s^{(-1)}\)

atomic mass of Li = 7.0160 amu

atomic mass of cl = 34.9688

Bond length of molecule

B = h*c*B

\(6.626*10^{(-34)} J*S*3*10^{(10)} cm/s*2.118*10^{(10)} 1/cm\)

\(B=42.06 \times 10^{(-24)}J\)

Now according to relation

\(B=\frac{h^2}{8\pi^2 I}\)

where I is moment of inertia

\(I=\frac{h^2}{8\pi^2 B}\)

\(=(6.62*10^{(-34)})^2(JS)^2/8*(3.14)^2*(42.06*10^{(-24)})\\\\= 13.20*10^{(-47)}\)

Calculate,

\(K=\frac{7.0160*34.968}{7.0160+34.9688} /\frac{10^{(-3)}kg/mol}{6.022*10^{(23)} mol^{(-1)}}\)

\(= 0.970*10^{(-26)}kg\)

\(I = \mu r^2 \\\\I=\sqrt{\frac{I}{\mu} }\)

\(I=\sqrt{\frac{13.20\times 10^{-47 kg\ mx^2}}{0.970\times 10^{-26}kg} }\)

\(r=1.166\times 10^{(-10)}\)

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As detailed as
possible!
Firm 1 produces output \( x \) with a cost function \( \mathrm{c}_{1}(x)=x^{2}+10 \). Firm 2 produces output \( y \) with a cost function \( c_{2}(y, x)=y^{2}-10 x \). Both firms face competitive prod

Answers

a. There is a negative externality present in the description and cost function.

b. Firm 1 produces 10 units of output (x), while Firm 2 produces 70 units of output (y). The profit for Firm 1 is $190, and the profit for Firm 2 is $1,800.

c. If both firms are merged, the joint output is 80 units (x + y), and the joint profit is $1,990.

d. Yes, the government can apply a tax/subsidy to improve efficiency.

a. The negative externality arises from the cost function of Firm 2, which includes a term (-10x) dependent on Firm 1's output. This indicates a cost imposed on Firm 2 due to Firm 1's production level.

b. To maximize their profits independently, Firm 1 sets its output level (x) where marginal cost equals the competitive price, resulting in x = 10. Firm 2 sets its output level (y) where marginal cost equals the competitive price, considering Firm 1's output level, leading to y = 70. The profit for each firm is calculated using the given cost functions and competitive prices.

c. When the firms are merged into one business, their individual outputs (x and y) are combined, resulting in a joint output of 80 units. The joint profit is the sum of the individual profits obtained by calculating the revenue and costs for the merged business. In this case, the joint profit is $1,990, which is higher than the combined profit of the individual firms.

d. To address the negative externality, the government can impose a per-unit tax on Firm 1's output equal to the external cost imposed on Firm 2. The tax revenue can then be used to subsidize Firm 2's production. This mechanism helps internalize the externality and improve efficiency by aligning private costs with social costs.

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Firm 1 produces output x with a cost function c₁(x) = x² + 10. Firm 2 produces output y with a cost function c2(y, x) = y² - 10x. Both firms face competitive product markets. The competitive price of x is $20 and the competitive price of y is $40.

a. Is there any externality in the description? If yes, positive or negative? Briefly explain.

b. Suppose both firms make independent decisions. How much do they each produce? Profit?

c. What are the output if both firms are merged into one business? How large is the joint profit? Is there any incentive for the shareholders to merge the businesses?

d. Is it possible for a government to apply tax/subsidy (with balanced budget) to improve the efficiency of the two firms when they operate independently? Briefly describe how such a program would work.

one of the biggest ethical issues many marketers face today relates to _____________.

Answers

One of the biggest ethical issues many marketers face today relates to consumer privacy and data protection.

In today's digital age, marketers have access to vast amounts of consumer data, including personal information and online behavior. The ethical issue arises when marketers collect, use, and share this data without adequate transparency, consent, or protection of consumer privacy. It raises concerns about invasion of privacy, unauthorized data sharing, and potential misuse of personal information for targeted advertising or other purposes.

Marketers are increasingly under scrutiny to ensure ethical practices in data collection, storage, and usage, balancing the need for effective marketing strategies with respect for individual privacy rights. Failure to address these ethical concerns can lead to loss of trust, reputational damage, and legal consequences for companies. Therefore, marketers must navigate these ethical challenges by adopting transparent and responsible data practices, respecting consumer choices, and implementing robust privacy and security measures.

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Write an equation perpendicular to x - 4y = 20 that passes through the point (4, -3)

Answers

Answer:

y = - 4x + 13

Step-by-step explanation:

In order to do this problem you would need a whole new equation, but you will use what is given to you:

instead of going with:

x - 4y = 20

Turn it into y = mx + b form, also known as slope-intercept form:

x - 4y = 20

-x       = -x

_________

- 4y = 20 - x

Then divide both sides by - 4:

\(\frac{-4y}{-4} = \frac{-x + 20}{-4}\)

You will then get:

y = \(\frac{1}{4}x - 5\)

From this equation we will only need the slope!

m || = \(\frac{1}{4}\)

(This slope is for parallel)

but if you want perpendicular to the slope, then we need the negative reciprocal!

Negative reciprocal is a flipped version of the value that is negative, for example:

2 = \(-\frac{1}{2}\)

Because \(\frac{2}{1}\) = 2

Now we will find the perpendicular slope which is:

m ⊥ = - 4

Now substitute this slope into slope intercept form:

y = mx + b

(-3) = -4(4) + b

(Take away parentheses)

-3 = -16 + b

(Move - 3 to the other side, by making it positive, but what you do to one side, you do to the other)

= -13 + 6

(Move - 13 to the other side, by make - 13 into +13)

+13 = +13

________

13 = b

(This is you b, also known as you intercept)

Your answer is:

y = -4x + 13

An audience of 120 people are watching a magician.
The ratio of males to females in the audience is 3:2
The magician chooses three members of the
audience at random to help him.
What is the probability that the first person picked
will be female?
(write your answer as a decimal number)

Answers

The probability that the first person picked will be female is 2/5.

Explain the term ratio of numbers?

Two quantities are compared to form a ratio. Discover how to calculate the ratio of two items, such as apples to oranges.

Total audience = 120

Ratio of males to females; 3:2

Total males : 3*120/ 5 = 72

Total females: 2*120/5 = 48

Probability that the first person picked will be female = total females / total audience

Probability = 48 / 120

Probability = 2/5

Thus, the probability that the first person picked will be female is 2/5.

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at the movie theater, chil admission is $6.10 and adult admission is $9.40 on Friday, 136 tickets were sold for a total of $1027.60. how many adult tickets were sold that day?​

Answers

The word problem's solution states that 86 adult tickets were sold on that particular day.

What is Equation?

A mathematical statement that demonstrates the equality of two expressions is called an equation. The two expressions are separated by the equal character "=". Variables, constants, and mathematical operations like multiplication, division, addition, subtraction, exponents, etc. may be used in the equations on either side of the equal sign.

Assume that "c" represents the number of child tickets sold and "a" represents the number of adult tickets sold.

From the information provided, we understand that:

A young person's ticket costs $6.10

A ticket for an adult costs $9.40.

There have been 136 tickets sold in total.

$1027.60 has been earned in total from the selling of tickets.

To express the provided information, we can put up two equations:

c + a = 136 (Equation 1: amount of tickets sold overall)

6.10c + 9.40a = 1027.60 (Equation 2: the total amount made from ticket sales)

Equation 1 can be used to express "c" in terms of "a" in order to solve for "a":

c = 136 - a

By entering this expression in place of "c" in Equation 2, we obtain:

6.10(136 - a) + 9.40a = 1027.60

By enlarging and streamlining this equation, we arrive at:

830.96 - 2.3a = 1027.60

830.96 from both sides is subtracted to arrive at:

-2.3a = 196.64

By multiplying both sides by -2.3, we obtain:

a ≈ 85.5

We can round this up to 86 as "a" denotes the quantity of adult tickets that were sold. As a result, 86 adult tickets were sold on that particular day.

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Francisco started with 4 cookies and ate x cookies. Monique has 12 cookies and ate three times as many cookies as Francisco.

How many cookies did Francisco eat if they had the same number of cookies remaining?

Answers

Ricky had 176 cookies initially.

Let Ricky has x number of cookies

Cookies left after he ate 1/8 of his cookies and additional 14 cookies:

x - (1/8x + 14)

Cookies left after he ate 3/10 of the remaining cookies and an additional 24 cookies on Saturday:

x - (1/8x + 14) - 3/10(x - (1/8x + 14)) + 24)

Cookies left after he ate 40 more cookies on Sunday

x - (1/8x + 14) - 3/10(x - (1/8x + 14)) + 24) - 40 ------(1)

Cookies left with him at the end = 34

Therefore, equating equation (1) with 34

(7/10)((7x/8) - 14) - 64 = 34

x = 176

Thus Ricky had 176 cookies intially

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complete question:

Ricky has some cookies. he ate 1/8 of his cookies and an additional 14 cookies on friday. he then ate 3/10 of the remaining cookies and an additional 24 cookies on saturday. he ate 40 cookies on sunday and had 34 cookies left. how many cookies did ricky have at first?

What is the ratio for cos B?

What is the ratio for cos B?

Answers

Answer:

Cos B = \(\frac{3}{5}\)

Step-by-step explanation:

Cos B = \(\frac{adjacent}{hypotenuse}\)

Cos B = \(\frac{48}{80}\)

In simplified form

Cos B = \(\frac{3}{5}\)

Waves with an amplitude of 2 feet pass a dock every 30 seconds. Write an equation for a cosine function to model the height of a water particle above and below the mean water line. Explain your steps.

Answers

Answer:

The cosine function to model the height of a water particle above and below the mean water line is h = 2·cos((π/30)·t)

Step-by-step explanation:

The cosine function equation is given as follows h = d + a·cos(b(x - c))

Where:

\(\left | a \right |\) = Amplitude

2·π/b = The period

c = The phase shift

d = The vertical shift

h = Height of the function

x = The time duration of motion of the wave, t

The given data are;

The amplitude \(\left | a \right |\) = 2 feet

Time for the wave to pass the dock

The number of times the wave passes a point in each cycle = 2 times

Therefore;

The time for each complete cycle = 2 × 30 seconds  = 60 seconds

The time for each complete cycle = Period = 2·π/b = 60

b = π/30 =

Taking the phase shift as zero, (moving wave) and the vertical shift as zero (movement about the mean water line), we have

h = 0 + 2·cos(π/30(t - 0)) = 2·cos((π/30)·t)

The cosine function is h = 2·cos((π/30)·t).

A soma de dois números consecutivos é 11, qual expressão algébrica representa este contexto? * 1 ponto a) X + X + 1 = 11 b) X + X = 11 c) X + X – 1 = 11 d) X + 1 = 11

Answers

Answer:

a) X + X + 1 = 11

Step-by-step explanation:

Em matemática, a soma de consecutivos é expressa matematicamente como:

X + (X + 1) + (X + 2) + (X + 3) .............

Na pergunta acima, somos solicitados a encontrar a expressão algébrica que indica que a soma de DOIS inteiros consecutivos é igual a 11

Portanto, esta expressão algébrica é dada como:

X + (X + 1) = 11

X + X + 1 = 11

Portanto, a opção a) X + X + 1 = 11 é a opção correta

MULTIPLE CHOICE Find the center & radius

MULTIPLE CHOICE Find the center &amp; radius

Answers

The center and the radius of the circle of equation 3x² + 3y² + 12x + 18y - 36 = 0 are given as follows:

A. (-2, -3), r = 5.

What is the equation of a circle?

The equation of a circle of center \((x_0, y_0)\) and radius r is given by:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

The equation of the circle in this problem is given as follows:

3x² + 3y² + 12x + 18y - 36 = 0

Simplifying by 3, we have that:

x² + y² + 4x + 6y - 12 = 0.

Completing the squares, we have that:

x² + 4x + y² + 6y = 12

(x + 2)² + (y + 3)² = 12 + 2² + 3²

(x + 2)² + (y + 3)² = 25.

Hence the correct option is given by option A.

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Which one is a perfect square 20 or 24

Answers

Answer:

Neither

Step-by-step explanation:

Neither is a perfect square

1^2 = 1

2^2 = 4

3^2 = 9

4^2 = 16

5^2 = 25

These are perfect squares

Answer:

Neither .

Step-by-step explanation:

neither 20 nor 24 is perfect square.

\(1 \times 1 = 1 \\ 2 \times 2 = 4 \\ 3 \times 3 = 9 \\ 4 \times 4 = 16 \\ 5 \times 5 = 25 \\ 6 \times 6 = 36 \\ 7 \times 7 = 49 \\ 8 \times 8 = 64 \\ 9 \times 9 = 81 \\ 10 \times 10 = 100\)

These are perfect square.

hope this helps

brainliest appreciated

good luck! have a nice day!

Evaluate: f(2) if f(x) = 4 - 2x
f(2) = 0
f(2)= 2
f(2)= 4
f(2) = 8

Answers

Answer:

f(2) = 0

Step-by-step explanation:

Evaluate: f(2) if f(x) = 4 - 2x; plug in 2 for x

f(2) = 4 - 2(2) = 4 - 4 = 0

Answer:

f(2) = 0

Step-by-step explanation:

Put 2 in the place of x,

f(2) = 4 - 2(2)

f(2) = 4 - 4

f(2) = 0

Which expressions are equivalent to 6x - 18 ?

Which expressions are equivalent to 6x - 18 ?

Answers

c.) 3(2x-6)

Reason:-

3(2x-6) = 6x-18

Answer:

C, D, and E are your answers

3 x 2x = 6x, 3 x 6 = 18

6x - 18

x + 5x = 6x

6x - 18

2 x 3x = 6x

2 x 9 = 18

6x - 18

After 1 minute, a file Portia is downloading from the internet is at 0 kilobytes downloaded. After 2 minutes, the file is at 3 kilobytes downloaded. After 3 minutes, the file is at 8 kilobytes downloaded. After 4 minutes, the file is at 15 kilobytes downloaded. Write an expression to model the amount of the file downloaded. Explain your reasoning.

Answers

The expression to model the amount of the file downloaded is:

D = (t(t + 1))/2 - 1

Here, we have,

To model the amount of the file downloaded over time, we can observe that the pattern of the downloaded kilobytes follows a specific pattern. Notice that the amount of the file downloaded is increasing by 1 kilobyte every minute, and the starting point is at 0 kilobytes.

Based on this pattern, we can represent the amount of the file downloaded as a quadratic function of time (minutes).

Let's denote the amount of the file downloaded as D and the time in minutes as t.

Since the amount of the file downloaded is increasing by 1 kilobyte every minute, we can express it as the sum of the consecutive positive integers.

The sum of the first n positive integers can be given by the formula (n(n + 1))/2.

In this case, we want to find an expression that represents the sum of the first n positive integers, where n represents the time in minutes. However, since the starting point is 0 kilobytes downloaded, we need to subtract 1 from the sum to account for this.

Therefore, the expression to model the amount of the file downloaded is:

D = (t(t + 1))/2 - 1

This expression represents the sum of the first t positive integers, subtracting 1 to account for the starting point at 0 kilobytes downloaded. It will give us the amount of the file downloaded at any given time t in minutes.

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Math help please show work thanks

Math help please show work thanks

Answers

Answer:

600.4 cm^2

Step-by-step explanation:

first we should find the base of samller triangle

hypotenuse = 35 cm

one side = 30 cm  whereas other has be be find

using pythagoras theorem

a^2 + b^2 = c^2

30^2 + b^2 = 35^2

900 + b^2 = 1225

b^2 = 1225 - 900

b^2 = 325

b = \(\sqrt{325}\)

b = \(5\sqrt{13}\)

area of big triangle

base = 22 + \(5\sqrt{13}\)

area of a triangle = base * height / 2

= 30 (22 + \(5\sqrt{13}\) ) /2

=30*22 + 30*\(5\sqrt{13}\) / 2

=660 + 540.83 / 2

=1200.83 / 2

=600.415

=600.4 cm^2

9514 1404 393

Answer:

  330 cm²

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh

where b is the base length and h is the height measured perpendicular to the base.

Here, the base length is 22 cm, and the height is 30 cm. The area is ...

  A = 1/2(22 cm)(30 cm) = 330 cm²

__

Additional comment

As is often the case with "overspecified" geometrical figures, the given dimensions are inconsistent. If the side lengths are taken as true, the height is closer to 33.1 cm, and the area is about 364.1 cm².

We assume the intended solution method is the one used above, as all it requires is to make use of a simple formula, and the calculation can be done mentally.

Math help please show work thanks

Original Price: $85, Sale Price: $51, Discount =
what is the discount? (tell me how you got your answer)

Answers

Answer:

the discount is 43.35 or the final price $7.65

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 51 × 85/100

Discount = 51 x 0.85

You save = $43.35

Final Price = Original Price - Discount

Final Price = 51 - 43.35

Final Price = $7.65

ANSWER BRIEFLY AND FAST FOR GUARANTEED BRAINLY AND POINTS!

• commutative property
• addition property of equality
• 2x=8
• distributive property
• division property of equality
• x=4
• multiplication property of equality
• subtraction property of equality

ANSWER BRIEFLY AND FAST FOR GUARANTEED BRAINLY AND POINTS! commutative property addition property of

Answers

Answer:

See below

Step-by-step explanation:

\(2(x+5)-3 =15\)

Using the distributive property in the LHS we get

\(2x+10-3 =15\)

\(2x+7=15\)

Now add -7 both sides. So we have the subtraction property of equality.

\(2x+7+(-7)=15+(-7) \text{ This is what I meant for add}\)  

\(2x+7-7=15-7\)

\(2x=8\)

Now divide both sides by 2. So we have the division property of equality

\(\dfrac{2x}{2} =\dfrac{8}{2}\)

\(x=4\)

(3x^3 y^2)^3 (2x^4 y^2)^2

Simplify fully

NEED HELP ASAPPPP!!!!!

Answers

(3x3 • y2) • 2x4y3

x3 multiplied by x4 = x(3 + 4) = x7

y2 multiplied by y3 = y(2 + 3) = y5

(3•2x7y5)

The diameter of a circle is 6 m. Find its area in terms of π π.

Answers

Step-by-step explanation:

this is totally simple.

the formula for the area of a circle (as you can find with any search on the internet in seconds) :

A = pi×r²

r is the radius.

and once you understand even the most basics of a circle, you know that the radius is half of the diameter.

so, in our case, r = 6/2 = 3 m

the area of the circle is therefore

pi×r² = pi×3² = pi×9 m²

Area of circle = πr ²
Radius is half on diameter =6/2=3m
π(3²)=9πm²

Use the situation below to answer questions 1 - 3.
A new Microsoft Surface computer costs $1275, but depreciates 16.5% each year as new
technology comes out.
1. Is this situation exponential growth or decay?
2.
Two students, Josh and Eve were debating how to represent a function to model
the value, V, after x years. Both of their functions are below. Explain who you
agree with and why.
Josh
V(x) = 1275 (0.835)*
Eve
V(x) = 1275(1.165)*
3. Write the correct function that models the context using both forms.
V(x) = a(b)*
V(x) = a(1+r)*

Use the situation below to answer questions 1 - 3.A new Microsoft Surface computer costs $1275, but depreciates

Answers

1.  Exponential decay 2. Josh's function represents the situation correctly 3. V(x) = 1275(0.835)ˣ,  V(x) = 1275(1-0.165)ˣ

Describe  Exponential decay function ?

An exponential decay function is a mathematical function that describes the decrease in value of a quantity over time or through a series of events. It is often used to model natural phenomena such as radioactive decay or the spread of diseases.

In an exponential decay function, the value of the quantity decreases exponentially over time. This means that the rate of decrease is proportional to the value of the quantity at any given time.

The exponential decay function is characterized by a decreasing graph that approaches zero but never touches the x-axis. The rate of decay slows down over time, but the quantity never completely disappears. The function is used in various fields such as physics, chemistry, biology, finance, and economics, to name a few.

1. This situation represents exponential decay because the value of the computer decreases by 16.5% each year.

2. Josh's function represents the situation correctly because it involves the decay factor (0.835) which is less than 1, reflecting the decrease in value each year. Eve's function represents exponential growth which is not consistent with the situation where the value of the computer decreases each year.

3. V(x) = 1275(0.835)ˣ represents the function using the form V(x) = a(b)ˣ where a = 1275 and b = 0.835.

Alternatively, V(x) = 1275(1-0.165)ˣ represents the function using the form V(x) = a(1-r)ˣ where a = 1275 and r = 0.165.

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Answers

The answer is 7 meters.


Area is (pi)r^2
If we remove pi, we have 49=r^2
This means that r=7
The answer is 7 meters

The functions fand g are defined as follows.f(x)=-4x-1g(x) = -2x³-3Find f(7) and g (-2).Simplify your answers as much as possible.f(¹) = []8 (-2) = 000XS

The functions fand g are defined as follows.f(x)=-4x-1g(x) = -2x-3Find f(7) and g (-2).Simplify your

Answers

Step 1

Given;

\(\begin{gathered} f(x)=-4x-1 \\ g(x)=-2x^3-3 \end{gathered}\)

Step 2

Find f(7)

\(f(7)=-4(7)-1=-29\)

Find g(-2)

\(g(-2)=-2(-2)^3-3=13\)

Answers;

\(\begin{gathered} f(7)=-29 \\ g(-2)=13 \end{gathered}\)

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