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2 years ago

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The dietitian uses 35 six-ounce glasses and 50 eight-ounce glasses at breakfast. Represent in fraction form the relationship of

six-ounce glasses to eight ounce glasses uses

1 answer:

koban [17]2 years ago

6 0

35 6ouc 50 8ouc So I guess u just ad all the number s they gaveu lodkfh

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Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R,W), where R is the number of rabbits and

zloy xaker [14]

Answer:

$(0,0)$ $(4000,0)$ and $(500,79)$

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the equilibrium solutions

We have:

$\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW$

$\frac{dW}{dt} = -0.02W + 0.00004RW$

To solve this, we first equate $\frac{dR}{dt}$ and $\frac{dW}{dt}$ to 0.

So, we have:

$0.09R(1 - 0.00025R) - 0.001RW = 0$

$-0.02W + 0.00004RW = 0$

Factor out R in $0.09R(1 - 0.00025R) - 0.001RW = 0$

$R(0.09(1 - 0.00025R) - 0.001W) = 0$

Split

$R = 0$ or $0.09(1 - 0.00025R) - 0.001W = 0$

$R = 0$ or $0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

Factor out W in $-0.02W + 0.00004RW = 0$

$W(-0.02 + 0.00004R) = 0$

Split

$W = 0$ or $-0.02 + 0.00004R = 0$

Solve for R

$-0.02 + 0.00004R = 0$

$0.00004R = 0.02$

Make R the subject

$R = \frac{0.02}{0.00004}$

$R = 500$

When $R = 500$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0$

$0.09 -0.01125 - 0.001W = 0$

$0.07875 - 0.001W = 0$

Collect like terms

$- 0.001W = -0.07875$

Solve for W

$W = \frac{-0.07875}{ - 0.001}$

$W = 78.75$

$W \approx 79$

$(R,W) \to (500,79)$

When $W = 0$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0$

$0.09 - 2.25 * 10^{-5}R = 0$

Collect like terms

$- 2.25 * 10^{-5}R = -0.09$

Solve for R

$R = \frac{-0.09}{- 2.25 * 10^{-5}}$

$R = 4000$

So, we have:

$(R,W) \to (4000,0)$

When $R =0$ , we have:

$-0.02W + 0.00004RW = 0$

$-0.02W + 0.00004W*0 = 0$

$-0.02W + 0 = 0$

$-0.02W = 0$

$W=0$

So, we have:

$(R,W) \to (0,0)$

Hence, the points of equilibrium are:

$(0,0)$ $(4000,0)$ and $(500,79)$

4 0

2 years ago

Beeswax used in making candles is produced by honeybees produce 7 pounds of honey for each pound of wax they produce. How many p

Mkey [24]

Answer:

1,015

Step-by-step explanation:

7 pounds of honey equals 1 pound of wax

So if we have 145 pounds of was, we multiply 145 by 7

145x7= 1,015

5 0

1 year ago

Given isosceles ABC, median BD to base AC. Prove ADB=CDB. AB=, AD=, BD=, ADB=

lesya692 [45]

Answer:

1. AB=CB def of isosceles triangle

2. AD=CD DEF of median

3. BD=DB reflexive property

4. ADB=CDB SSS

Step-by-step explanation:

ummmm its just the right answer trust

5 0

2 years ago

benny has a total of 64 quarters and pennies in his pocket. these coins total $4.00 how many pennies are in Benny's pocket

levacccp [35]

I think its 14 quarters and 50 pennies

8 0

3 years ago

Shelley is 15 and has a goal of saving $800 toward her prom and senior trip in 2 years; right now she has $20 total. She's plann

Dimas [21]

Answer:

The answer is "Do her friends have accounts at the same bank?"

Step-by-step explanation:

In this question, the above given-choice is correct because the account on the same bank has certainly, but when a retirement fund in a company is concerned, you could only have a savings account on their behalf, and the mutual funds must then be distributed, and these several savings accounts can be opened is by tracking the amount they need to save for every savings target.

6 0

2 years ago