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3 years ago

Find the diameter of the object. Orange slice : 2 inches

Mathematics

2 answers:

ladessa [460]3 years ago

7 0

The answer is 4 inches

Scorpion4ik [409]3 years ago

5 0

Answer:

4 inches

Step-by-step explanation:

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A population of deer mice consists of 200 individuals and has an r = 0.1. A population of wood rats consists of 100 individuals

Mariulka [41]

Answer:

Population of dice mice after one year = 2000

Population of wood rats after one year = 1000

The population of deer mice is growing faster than the popular of wood rats

Step-by-step explanation:

The expression for population = dN/dt = rN

Upon integration N = rN²/2

Therefore for population N = 200 and r= 0.1

N after one year = (0.1 x 200²)/ 2 = 2000

Therefore for population N = 100 and r= 0.2

N after one year = (0.2 x 100²)/ 2 = 1000

Hence the population of deer mice is growing faster than the popular of wood rats

7 0

3 years ago

Two containers hold several balls. Once a second, one of the balls is chosen at random and switched to the other container. Afte

natka813 [3]

Answer:

(a) 8 balls

(b) 4 balls

Step-by-step explanation:

Let

$N \to$ Number of balls

For a box, the probability that there are N balls in it is:

$Pr = 0.5^N$

For 2 boxes, it is:

$Pr = 2 * 0.5^N$

From the question, we have:

$\frac{80}{10000} \to$ Favorable outcome

To solve for N, we have:

$2 * 0.5^N = \frac{80}{10000}$

$2 * 0.5^N = 0.008$

Divide both sides by 2

$0.5^N = 0.004$

Take log of both sides

$\log(0.5^N) = \log(0.004)$

Apply law of logarithm

$N\log(0.5) = \log(0.004)$

Make N the subject

$N = \frac{\log(0.004)}{\log(0.5)}$

$N =7.966$

Approximate

$N = 8$

Solving (b): Balls in one of the two boxes.

Here, we assume that each ball will have almost the same number of balls at a given instance;

Hence, we have:

$Balls \approx \frac{N}{2}$

$Balls \approx \frac{8}{2}$

$Balls \approx 4$

<em>4 balls in each box</em>

6 0

3 years ago

Amy has some money in her checking account. If she writes a check for $42.50, her checking account will be overdrawn by $23.75.W

Bingel [31]

You have to subtract 23.75 from 42.50 to get your answer of 18.75

3 0

3 years ago

Find the solution of y = –x – 3 for x = 1.

nikklg [1K]

Answer:

A. :)

Step-by-step explanation:

5 0

3 years ago

if j is 21 inches, k is 12 inches, and angle M measures 62 degrees, then find m using the Law is Cosines. round your answer to t

AURORKA [14]

Answer:

18.7

Step-by-step explanation:

The Law of Cosines is $c^2=a^2+b^2-2ab cos(C)$ , where c is the unknown side length of a triangle, a and b are the remaining two side lengths, and C is the angle opposite to side c. To answer this question just plug in the known values:

$m^2=21^2+12^2-2(21)(12) cos(62)$

Simplify:

$m^2=441+144-504 cos(62)$

$m^2=585-504 cos(62)$

$m=\sqrt{585-504cos(62)}$

m≈18.665...

When rounded to the nearest tenth, m=18.7

6 0

3 years ago