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3 years ago

Which expression can be an integer when simplified? i will give so many points and brainliest plz answer!

Mathematics

2 answers:

Vitek1552 [10]3 years ago

8 0

Answer:

D fs

Step-by-step explanation:

ira [324]3 years ago

4 0

Answer:

Step-by-step explanation:

when simplify 4^7, using a calculator, you get 16384. When you simplify 4^-2 , you get 0.0625. When multiplied together, the total is 1024, which is an integer. Answer a, b, and c were not integers, because when multiplied or divided, the answer was less than zero and showed up as a decimal starting with 0.*** . An integer is defined as any whole number, and not a fraction, therefor D is the only correct answer.

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One method of slowing the growth of an insect population without using pesticides is to introduce into the population a number o

Zielflug [23.3K]

To be clear, the given relation between time and female population is an integral:
 $t = \int { \frac{P+S}{P[(r - 1)P - S]} } \,
dP$

The problem says that r = 1.2 and S = 400, therefore substituting:
 $t = \int { \frac{P+400}{P[(1.2 - 1)P - 400]}
} \, dP$ 

= $
\int { \frac{P+400}{P(0.2P - 400)} } \, dP$

In order to evaluate this integral, we need to write this rational function in a simpler way:
 $\frac{P+400}{P(0.2P - 400)} = \frac{A}{P} +
\frac{B}{(0.2P - 400)}$ 

where we need to evaluate A and B. In order to do so, let's calculate the LCD:
 $\frac{P+400}{P(0.2P - 400)} = \frac{A(0.2P -
400)}{P(0.2P - 400)} + \frac{BP}{P(0.2P - 400)}$ 

the denominators cancel out and we get:
P + 400 = 0.2AP - 400A + BP
 = P(0.2A + B) - 400A

The two sides must be equal to each other, bringing the system:
 $\left \{ {{0.2A + B = 1} \atop {-400A =
400}} \right.$ 

Which can be easily solved:
 $\left \{ {{B=1.2} \atop {A=-1}} \right.$ 

Therefore, our integral can be written as:
 $t = \int { \frac{P+400}{P(0.2P - 400)} } \,
dP = \int {( \frac{-1}{P} + \frac{1.2}{0.2P-400} )} \, dP$ 
= $- \int { \frac{1}{P} \, dP +
1.2\int { \frac{1}{0.2P-400} } \, dP$ 
= $- \int { \frac{1}{P} \, dP +
6\int { \frac{0.2}{0.2P-400} } \, dP$ 
= - ln |P| + 6 ln |0.2P - 400| + C

Now, let’s evaluate C by considering that at t = 0 P = 10000:
0 = - ln |10000| + 6 ln |0.2(10000) - 400| + C
C = ln |10000| - 6 ln |1600|
C = ln (10⁴) - 6 ln (2⁶·5²)
C = 4 ln (10) - 36 ln (2) - 12 ln (5) 
 Therefore, the equation relating female population with time requested is:
t = - ln |P| + 6 ln |0.2P - 400| + 4 ln (10) - 36 ln (2) - 12 ln (5)

8 0

3 years ago

Which fraction has the same value as 0.6? 1/6 1/2 3/5 2/3

koban [17]

3/5 because it can't be 1/6 or 1/2 because they are 50% or smaller. Also it is 2/5 because if you count 20, 40, 60... up to 100 the third number is 50.

8 0

3 years ago

THIS IS DUE IN 1 HOUR!!!! BRAINLIEST OPPORTUNITY!!!!!! PLEASE HELP!!!!! Write the radical below in simplest radical form. Decima

VikaD [51]

Answer:

Square root (V) of 150:

5 V6 (5*Square root of 6)

Square Root (V) of 7/2

V14/2 (square root of 14)/2

8 0

3 years ago

Which method is valid for proving that two circles are similar?

Sav [38]

A. The circumference of a circle is the diameter times 3.14 aka pie and for instance, if you have two circles, circle A has a radius of 2 and diameter of 4 and circle B has a radius of 4 and diameter of 8, then if you compare the radius to the diameter (2/4 and 4/8) you get 1/2 for both and you know the circles are similar

3 0

3 years ago

Please help with this

Dafna1 [17]

Answer:

697.24 and 886.76

Step-by-step explanation:

792+.92*103= 886.76

792-.92*103= 697.24

if that's not correct try 697.76 and 886.25

7 0

3 years ago