D
Question 2
1 pts
Witch-in-training Blythe buys a box of chocolate frog cupcakes for her new neighbors, but they look so delicious, she decides to try a copy spell to create an extra batch for herself. But oh,
no, the spell goes wrong, and now the cupcakes won't stop copying themselves. There were 12 cupcakes to start off with, and their numbers increase at a rate of 20% per minute. Which
equation below could be used to determine how many cupcakes there will be after 'm' minutes?

Answer:

10x+5y=1500

Step-by-step explanation:

I don't know how to explain this but i think this is right.

If PV = 800, then P can be written as a function of V,

P(V) = 800 / V

(a) The average rate of change of P as V increases from 200 to 250 in³ is then

(P (250) - P (200)) / (250 in³ - 200 in³) = (3.2 lb/in² - 4lb/in²) / (50 in³)

... = -0.016 (lb/in²)/in³

(Or -0.016 lb/in⁵, but I figure writing the rate as (units of pressure) per (unit volume) makes more sense.)

(b) We can also write V as a function of P :

V(P) = 800 / P

Take the derivative:

V'(P) = - 800 / P²

which immediately demonstrates that V'(P) ∝ 1 / P², as required. (The fish-looking symbol, ∝, means "is proportional to".)

If differentiating is supposed to be more involved, you can use the limit definition:

[tex]V'(P)=\displaystyle\lim_{h\to0}\frac{V(P+h)-V(P)}h[/tex]

[tex]V'(P)=\displaystyle\lim_{h\to0}\frac{\frac{800}{P+h}-\frac{800}P}h[/tex]

[tex]V'(P)=\displaystyle\lim_{h\to0}\frac{\frac{800P-800(P+h)}{P(P+h)}}h[/tex]

[tex]V'(P)=\displaystyle800\lim_{h\to0}\frac{-\frac h{P(P+h)}}h[/tex]

[tex]V'(P)=\displaystyle-800\lim_{h\to0}\frac1{P(P+h)}=-\dfrac{800}{P^2}[/tex]

Part(a): The average rate of change of [tex]\frac{dP}{dV}[/tex] is [tex]-0.0164 lb/in^{2}[/tex]

Part(b): The required answer is [tex]\frac{dV}{dP} \infty \frac{1}{P^{2}}[/tex]

Part(a):

Given,

[tex]PV=800[/tex]

Differentiating the above equation with respect to [tex]V[/tex].

[tex]\frac{dP}{dV}=-\frac{P}{V}[/tex]

Now, at [tex]V=200 in^{3}[/tex] and [tex]P=4 lb/in^2[/tex]

At [tex]V=250 in^3[/tex] and [tex]P=\frac{80}{25} lb/in^2[/tex]

Hence, we can write,

[tex]\frac{dP}{dV}[/tex] at [tex]V=200[/tex] we get,

[tex]\frac{-1}{200}=\frac{-1}{50}[/tex]

Again [tex]\frac{dP}{dV}[/tex] at [tex]V=250[/tex] we get,

[tex]\frac{-80}{25\times 250}[/tex]

So, the average rate of change of [tex]\frac{dP}{dV}[/tex] is,

[tex]\frac{-\frac{1}{50}- \frac{8}{25\times25} }2\\=-\frac{1}{100}-\frac{1}{625}\\=-0.0164 lb/in^2[/tex]

Part(b):

Given,[tex]PV=800[/tex] then,

[tex]V=\frac{800}{P}[/tex]

Now,[tex]\frac{dV}{dP} =-\frac{800}{P^2}[/tex]

Then the above implies,

[tex]\frac{dV}{dP} \infty \frac{1}{P^{2}}[/tex]

Learn more:https://brainly.com/question/12817429

Answer:

36 = 2 x 2 x 3 x 3

Step-by-step explanation:

Given:

Number of mangoes = 36

Computation:

Factor of 36

36 = 2 x 2 x 3 x 3

Number of packing = 2 and number of mangoes in each = 18

Number of packing = 4 and number of mangoes in each = 9

Number of packing = 12 and number of mangoes in each = 3

Number of packing = 6 and number of mangoes in each = 6

Number of packing = 36 and number of mangoes in each = 1

Answer:

x=-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

3(x +1) =-6

3x +3 =-6

3x =-6 - 3

3x=-9

x=-9:3

x=-3

Step-by-step explanation:

the answer is C

2/5(2x+3)

I hope it helps

Answer: what grade is this

Step-by-step explanation:

Answer:

the answer is -33.28

Step-by-step explanation:

Answer:

X=2

Step-by-step explanation:

3x-15=7-8x

3x+8x=7+15

11x=22

x=[tex]\frac{22}{11}[/tex]

x=2

Answer:

324

Step-by-step explanation:

3x3 = 9

9-15 = -6

8x8=64

7-64=-54

-54 x -6 = 324

Alan's method is correct coz to find we add all the given value and divide by the numbers present

Answer:

[tex]\frac{2x}{5}- \frac{3y^{2} }{4}[/tex]

Step-by-step explanation:

(2/5x-3/4y^2) & (2/5x+3/4y^2) is [tex]\frac{2x}{5}- \frac{3y^{2} }{4}\\[/tex]

Answer:

A

Step-by-step explanation:

i am smart

Answer:

-3

Step-by-step explanation:

Answer:

(p / q^2 √r)

Just make x, y, z into p, q, r.

Very simple!

Answer:

34

Step-by-step explanation:

Answer:

Step-by-step explanation:

.

Answer:

42 squared is 1764

Step-by-step explanation:

Answer: (x + 42)(x - 42)

Step-by-step explanation:

factorise: x^2 - 42^2

. x^2 - 42^2 have ^2 in common (so you can ignore that).

. put in brackets (x - 42)(x + 42)

. +/- any order really doesn't matter :D

Answer:

Correct option: C

Step-by-step explanation:

A random variable, denote by X, is a variable whose probable values are numeric and are of a random occurrence. There are two types of random variables, discrete and continuous.

A discrete random variable is the one which takes on only a finite number of distinct values such as 0, 1, 2, 3, 4... For example, the number of female members in a family, the daily attendance at a yoga class, the number of defective light bulbs in a box of five bulbs.

The probability distribution of a discrete random variable consist of a list of probabilities related with the respective possible values. It is also known as the probability mass function.

The correct statement describing X is:

C. The event x is a discrete random variable because the values of the random variable are countable.

Answer: 2x+52=2(x+26)

3x-35=-105

Step-by-step explanation:

6 or. 1/3

hopethishelp

Answer:

6 1/3

Step-by-step explanation:

72/12 = 6.3333 = 6

76 - (12 x 6) = 4

6 4/12

6 1/3

Answer:

B

Step-by-step explanation:

It is B because 0.4 times 2 would be 0.8 and 0.3 times 0.4 would be 0.12b.

Answer:

The answer is: -190

Step-by-step explanation:

First, you need to input the -3 into the h(x) equation as follows:

h(-3) = 10(-3) - 15, then solve.

h(-3) = -30 - 15

h(-3) = -45.

Then you do the same for g(-5).

So, g(-5) = 30(-5) + 5

g(-5) = -150 + 5

g(-5) = -145.

Now you add the -45 and -145.

h(-3) + g(-5) = -45 - 145

h(-3) + g(-5) = -190.

The 84th term of the sequence is 1655

The arithmetic sequence is given as:

-5, 15, 35, .....

The above sequence has the following parameters:

The nth term of the sequence is:

Tn = a + (n - 1) * d

So, we have:

T84 = -5 + (84 - 1) * 20

Evaluate

T84 = 1655

Hence, the 84th term of the sequence is 1655

Read more about sequence at:

https://brainly.com/question/7882626

Width-24 Length-29

Two sides of the rectangle are 5 cm bigger than the other two. So you would add the two 5 cm together (10cm). If you take the 10 cm off you (106-10) you will get a square. Then all you have to do is divide 96 by 4 (24), and add back on the two 5cm from the beginning to the length (29).

9514 1404 393

Answer:

  (4x^2 +21x +18)/(3x^2 +34x -24)

Step-by-step explanation:

I find it helpful to keep in mind the form ...

  a/b + c/d = (ad +bc)/(bd)

When we apply that to this case, we get ...

  [tex]\dfrac{x+3}{x+12}+\dfrac{x+2}{3x-2}=\dfrac{(x+3)(3x-2)+(x+12)(x+2)}{(x+12)(3x-2)}\\\\=\dfrac{(3x^2+7x-6)+(x^2+14x+24)}{(x+12)(3x-2)}=\boxed{\dfrac{4x^2+21x+18}{3x^2+34x-24}}[/tex]

Answer:

You can make 2 servings.

Step-by-step explanation:

Hi there!

3 cups makes one serving, so 2 servings require 6 cups. Since you don't have 9 cups to make 3 servings, and you don't want partial portions, you can only make 2 servings with 6 cups and have 2 cups left over.

Have a great day!

(I'd also appreicate it if I got a rating and maybe a Thanks please!)

Answer:

no

Step-by-step explanation:

800x8%=64

64+800=864

Answer:

$736

Step-by-step explanation:

800 x (100% - 8%)

800 x 92%

=736

Answer:

100 is a cool number

Step-by-step explanation:

i also ate a rock

Answer:

$746.24

Step-by-step explanation:

3.2/100 = 0.032

5,830 X 4 = 23,320

23,320 X 0.032 = 746.24

Answer:

There will be 3 rows of pansies

Step-by-step explanation:

Answer:

Y=-1/4x-4

Step-by-step explanation:

To find the slope, you would need to use the equation y2-y1/x2-x1 by the coordinates. You would get -3-(-2)/-4-(-8). This would result in -1/4. Now that you have your slope, you plug in one of the coordinates. If you used  (-8,-2), you would get -2=-8(-1/4)+b. Simplify the equation to get -2=2+b, which simplifies to -4=b, and b is the y intercept.