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Margarita [4]
3 years ago
12

Please answer this correctly

Mathematics
2 answers:
siniylev [52]3 years ago
7 0

Answer:

There are 3 shipments.

Step-by-step explanation:

According to the stem-leaf diagram, 59 appears 3 times which means that 3 shipments have exactly 59 broken tiles.

aalyn [17]3 years ago
6 0

Answer:

3 shipments

Step-by-step explanation:

In the given stem-leaf chart, the stem having 5 has 3 9's in it which makes it 59. So, there are 3 59's.

There are 3 shipments having 59 broken tiles.

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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
3 years ago
What type of table has the largest area
Helen [10]

Answer:

The Rectangular Table Has The largest area of 1460 in^2

7 0
3 years ago
PLEASE HELP!!! In a set of 1,000 integers from 1 to 1,000, an integer chosen at random on a single trial should be an integer fr
Mumz [18]

Answer:

Step-by-step explanation:

Use math-way go quick and easy answers without step by step explanations, and use math-soup-calculator for step by step explanation

3 0
2 years ago
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yuradex [85]

Answer:

1. r is point

2.PQ is ray

3. pr is line

4. p.q,r is collnear points

5. QR is segment

6 0
3 years ago
What is the volume of a sphere that has<br> a radius of 11.5 units?
Brut [27]

Answer:

6370.63 is the volume

Step-by-step explanation:

V=4

3πr3=4

3·π·11.53≈6370.6263

3 0
3 years ago
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