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4 years ago

How you would distinguish exponential growth from exponential decay.

Mathematics

1 answer:

slega [8]4 years ago

5 0

Answer:

growth factor > 1, growth
growth factor < 1, decay

Step-by-step explanation:

The "growth factor" is the base of a positive exponent in the exponential model.

If it is more than 1, the model models growth.

If it is less than 1, the model models decay.

_____

Decay can also be modeled with an exponential base greater than 1, but a negative exponent.

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Renee, Susan, and Martha will share the cost to rent a vacation house for a week. Renee will pay 40 percent of the cost. What fr

Rom4ik [11]

Answer:

Amount paid by Martha = $200

Amount paid by Renee = $320

Amount paid by Susan = $280

Step-by-step explanation:

Here, the given question is INCOMPLETE.

Renee, Susan and Martha will share the cost to rent a vacation house for a week. Renee will pay 40% of the cost. Susan will pay 0.35 of the cost. Martha will pay the remainder of the cost. If the cost to rent the vacation house is $800, how much will each person pay?

Here, the total cost of the vacation = $800.

Renee pays 40% of the cost.

Calculating 40% of $800, we get:

$\frac{40}{100} \times 800 = 320$

So, Renee pays a total of $320 in the cost of vacation. ... (1)

Susan pays 0.35 = 35 % of the cost.

Calculating 35% of $800, we get:

$\frac{35}{100} \times 800 = 280$

So, Susan pays a total of $280 in the cost of vacation. ... (2)

Now, The amount paid by { Renee + Susan + Martha} = $800

⇒ $320 + $280 + Amount paid by Martha = $800

⇒Amount paid by Martha = $800 - $600 = $200

Hence, Amount paid by Martha = $200

Amount paid by Renee = $320

Amount paid by Susan = $280

7 0

4 years ago

(7-4) + 17 / -14 + 2 x 5

Yuliya22 [10]

Answer:

165/14

Step-by-step explanation:

(7-4) + 17 / -14 + 2 x 5

3 + 17/-14 + 2 x 5

3 - 17/14 + 2 x 5

3 - 17/14 + 10

165/14

8 0

3 years ago

Help please thank you

Genrish500 [490]

Answer:

2000

Step-by-step explanation:

1km=1000m

2km=2000m

6 0

3 years ago

Need help please help me

ANTONII [103]

Megan:
x to the one third power = $x ^{1/3}$
x to the one twelfth power = $x ^{1/12}$

The quantity of x to the one third power, over x to the one twelfth power is:
 $\frac{x ^{1/3}}{x ^{1/12}}$

Since $\frac{ x^{a} }{ x^{b} } = x ^{a-b}$
then $\frac{x ^{1/3}}{x ^{1/12}} = x^{1/3-1/12}$

Now, just subtract exponents:
1/3 - 1/12 = 4/12 - 1/12 = 3/12 = 1/4

$\frac{x ^{1/3}}{x ^{1/12}} = x^{1/3-1/12} = x^{1/4}$

Julie:
x times x to the second times x to the fifth = x * x² * x⁵

The thirty second root of the quantity of x times x to the second times x to the fifth is
 $\sqrt[32]{x* x^{2} * x^{5} }$

Since $x^{a}* x^{b}= x^{a+b}$
Then $\sqrt[32]{x* x^{2} * x^{5} }= \sqrt[32]{ x^{1+2+5} } =\sqrt[32]{ x^{8} }$

Since $\sqrt[n]{x^{m}} = x^{m/n} }$
Then $\sqrt[32]{ x^{8} }= x^{8/32} = x^{1/4}$

Since both Megan and Julie got the same result, it can be concluded that their expressions are equivalent.

3 0

3 years ago

14. Find mMK please :)

MrRissso [65]

Answer:

Step-by-step explanation:

11) strategy: since they tell us. indirectly, that the length of JK is the same as LM then we can set those two equal, solve for X and then.. when we have X we can figure out the lenght of JK and LM and then just divide that by 2 go get PK ( :0 Player Killer ??? no , not that PK)

solve JK and LM

3x + 23 =9x-19

42 = 6x

7 = x

now that we know x = 7 plug it into either equation to come up with the length of JK or LM . I'll pick JK just b/c it was 1st

3(7) + 23 = JK

21+23 = JK

44 = JK

now take half of 1/2*JK= 22 that is PK ( are you sure that 's not player killer?)

PK = 22

12) strategy: set the two arcs BG and GC equal and solve for X, then plug x into either equation and the multiply the answer by 2 to find arc AB

9x-20 = 5x + 28

4x = 48

X = 12

9(12) -20 = BG

88 = BG

2*88 + AB

176 = AB

13) done

14) strategy: find the angle at L, and that will also be the arc of MK

copy and past the below helpful trig functions into your computer

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

copy and past the above :

use which ever trig function you want , we have all the sides of the triangle, I'll use CAH

Cos(Ф) = 9/15

Ф = arcCos(9/15)

Ф = 53.13010°

arc MK = 53.13010°

15) strategy: arc JK is just 2 times MK

2*MK = 106.26020°

arc MK = 106.26020°

16) find arc JPK strategy: JPK is just the remaining part of a full circle of 360 - MK = 253.7397°

arc JPK = 253.7397°

7 0

3 years ago