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lesantik [10]
3 years ago
5

Suppose C and D represent two different school populations where C > D and C and D must be greater than 0. Which of the follo

wing expressions is the largest? Explain why. Show all work necessary. A: (C + D)2 B: 2(C + D) C: C2 + D2 D: C2 − D2
Mathematics
2 answers:
Snezhnost [94]3 years ago
7 0
The question or the problem wants to choose among the following expression is the largest, base on the data presented in the problem, the possible answer among the following choices is C2+D2.  I hope this helps :D
lakkis [162]3 years ago
4 0

Answer:

A.

Step-by-step explanation:

We have that C>0, D>o and C > D. Now,

A. (C+D)^2= C^2+2CD+D^2

B. 2(C+D) = 2C+2D

C. C^2+D^2

D. C^2-D^2

We have that C^2+2CD+D^2> C^2+D^2 (beacuse on left we have adding one extra positive term) and also C^2+D^2> C^2-D^2 (adding two positive values is greater than subtract two positive values), then

C^2+2CD+D^2> C^2-D^2

also, C^2+2CD+D^2> 2C+2D (also because the middle term). Then, the largest term is  (C+D)^2= C^2+2CD+D^2.

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A bag contains 4 red balls, 2 green balls, 3 yellow balls, and 5 blue balls. Find each probability for randomly removing balls w
AfilCa [17]

Answer:

\frac{15}{4802}, \frac{15}{9604}, \frac{9}{2401}, \frac{9}{4802}

Step-by-step explanation:

The bag has a total of (4+2+3+5) = 14 balls. Set up the proportions:

Red: \frac{4}{14}

green: \frac{2}{14}

yellow: \frac{3}{14}

blue: \frac{5}{14}

Now solve!

Removing 1 yellow, 1 red, 1 green, and 1 blue = \frac{3}{14} \cdot \frac{4}{14}  \cdot \frac{2}{14}  \cdot \frac{5}{14} =\frac{15}{4802}

Removing 1 blue, 1 green, 1 green, and 1 yellow = \frac{5}{14} \cdot \frac{2}{14}  \cdot \frac{2}{14}  \cdot \frac{3}{14} =\frac{15}{9604}

Removing 1 red, 1 red, 1 yellow, and 1 yellow = \frac{4}{14} \cdot \frac{4}{14}  \cdot \frac{3}{14}  \cdot \frac{3}{14} =\frac{9}{2401}

Removing 1 green, 1 yellow, 1 yellow, and 1 red = \frac{2}{14} \cdot \frac{3}{14}  \cdot \frac{3}{14}  \cdot \frac{4}{14} =\frac{9}{4802}

4 0
2 years ago
Find A, B, and C<br> 7th Grade Math<br> Please help me answer this
xeze [42]

Answer:

A=124 B=60 and C=60

Hope this helps.

3 0
3 years ago
Dinosaurs have been extinct for about 6.5 X 10 years, while Neanderthals have been extinct for about 30 x 109 years. About how m
Oxana [17]

Answer: 1,000 times longer

Step-by-step explanation: Dino have been extinct for about 60 million years ago, and Neanderthals have been extinct for about 40,000 years.

60,000,000 divided by 40,000 is 1500 so 1000 times longer (sorry if im wrong i'm new)

6 0
3 years ago
What is 1/15 as a decimal
ElenaW [278]
1/15 as a decimal would be 0.6666666......

Or you can round that off to 0.67 



7 0
3 years ago
Read 2 more answers
If 2/3 of a certain number is subtracted from twice the number, the result is 20. Find the number.​
sleet_krkn [62]

Let x be the number.

Set up an equation:

2x - 2/3x = 20

Simplify:

1 1/3x = 20

Divide both sides by 1 1/3

X = 15

The number is 15

3 0
3 years ago
Read 2 more answers
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