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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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Plz<br> help<br> now<br> im<br> dew<br> in<br> a<br> hour
forsale [732]

Answer:

D. x<2

Step-by-step explanation:

-1+ 6-1-3x) >- 39 - 2x

Multiply the parentheses by 6

- 1-6 - 18x > - 39 - 2x

Calculate

7- 18x > - 39 - 2x

Move the terms

18x + 2x > -39 +7

Collect like terms Calculate

- 16x>-32

Divide both sides by - 16

x < 2

8 0
3 years ago
During optimal conditions, the rate of change of the population of a certain organism is proportional to the population at time
Lana71 [14]

Answer:

The population is of 500 after 10.22 hours.

Step-by-step explanation:

The rate of change of the population of a certain organism is proportional to the population at time t, in hours.

This means that the population can be modeled by the following differential equation:

\frac{dP}{dt} = Pr

In which r is the growth rate.

Solving by separation of variables, then integrating both sides, we have that:

\frac{dP}{P} = r dt

\int \frac{dP}{P} = \int r dt

\ln{P} = rt + K

Applying the exponential to both sides:

P(t) = Ke^{rt}

In which K is the initial population.

At time t = 0 hours, the population is 300.

This means that K = 300. So

P(t) = 300e^{rt}

At time t = 24 hours, the population is 1000.

This means that P(24) = 1000. We use this to find the growth rate. So

P(t) = 300e^{rt}

1000 = 300e^{24r}

e^{24r} = \frac{1000}{300}

e^{24r} = \frac{10}{3}

\ln{e^{24r}} = \ln{\frac{10}{3}}

24r = \ln{\frac{10}{3}}

r = \frac{\ln{\frac{10}{3}}}{24}

r = 0.05

So

P(t) = 300e^{0.05t}

At what time t is the population 500?

This is t for which P(t) = 500. So

P(t) = 300e^{0.05t}

500 = 300e^{0.05t}

e^{0.05t} = \frac{500}{300}

e^{0.05t} = \frac{5}{3}

\ln{e^{0.05t}} = \ln{\frac{5}{3}}

0.05t = \ln{\frac{5}{3}}

t = \frac{\ln{\frac{5}{3}}}{0.05}

t = 10.22

The population is of 500 after 10.22 hours.

7 0
2 years ago
When the sun is at 31 above the horizon, a tree casts a 42 ft. shadow. how tall is the tree?
Fantom [35]
Answer: 25.2361459992ft

This question can be solved by a trigonometric equation. Shadow formed when something with height like a tree, so it can be pictured as a vertical line. Shadow is a length of and can be pictured as a horizontal line.  
In trigonometric, to find the vertical line length with horizontal line you need tan function. The sun angle will be used in the function, so the calculation would be: tan(31) x 42ft = 25.2361459992ft

5 0
3 years ago
(05.02 MC) A system of equations is shown below: 4x = −3y + 17 3x − 4y = −6 What is the solution to this system of equations? (−
aliina [53]
4x=-3y+17 becomes 4x+3y=17

4x+3y=17
3x-4y=-6

alrighty

elimination

muliply first equation by 4 and 2nd by 3 and add them
16x+12y=68
9x-12y=-18
add them

25x+0y=50
25x=50
idivide both sides by 25
x=2

sub back

3x-4y=-6
3(2)-4y=-6
6-4y=-6
-4y=-12
y=3

(x,y)
(2,3)
5 0
3 years ago
Read 2 more answers
A customer states that she was shorted in change by receiving only 23 cents change from $3.00
Artemon [7]

Answer:

First, I would check and see if she was correct. If she wasnt, I would simply show her why she was incorrect. If I was to accidently short her, I would give her the money and move on with my day. if she refused to leave after showing her that I gave her the correct amount of money, she would probably call for the manager. I'd get the manager, explain what happened, and the annoying customer would most likely get kicked out of the store.

(P.S: sorry if it was a little confusing lol)

8 0
2 years ago
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