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valentina_108 [34]

3 years ago

13

Sandra has a box with markers. She has 4 red, 3 blue, 6 purple, 2 white, and 1 orange marker. How likely it is that Sandra will

randomly select a purple or white marker

1 answer:

Brrunno [24]3 years ago

4 0

Answer:

7/16

Step-by-step explanation:

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Determine the area of this figure. Round your answer to the nearest tenth place.

denis-greek [22]

36 feet okay it is 36 feet of the area

5 0

2 years ago

How long will it take to fill the tank with 40 gallons of water? Explain your reasoning.

Vlada [557]

Answer:

Q1) Answer: After 3 minutes there will be 4.8 gallons of water in the fish tank. Q2) Answer: 40 gallons of water will be filled after 25 minutes.

8 0

2 years ago

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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

A service station charges $251 for

likoan [24]

4x=251
251-84=167
4x=167
X=41.75
One tire will cost $41.75

4 0

3 years ago

Write a complete two-column proof for the following information. Hint: Use the Angle Addition Theorem and the fact that a line i

kramer

Answer:

Step-by-step explanation:

Given: m∠1 = 62° and lines t and l intersect

Prove: m∠4 = 62°

Proof:

Statement Reason

m∠1 = 62° Given

m∠1 , m∠2 are supplementary t is a straight line hence linear pair.

m∠4 , m∠2 are supplementary r is a straight line hence linear pair.

Angle 2=180-62 = 118 Definition of supplementary angles

Angle 4 = 180-118 =62 -do-

Angle 1 = Angle 4 Equality property

Hence proved

6 0

2 years ago

Read 2 more answers