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3 years ago

Please help with with number 3,4 and e-g please and also explain how you got the answer

Mathematics

1 answer:

Annette [7]3 years ago

7 0

e: 1/2 x (2)=8*2 x=16
f:(-4/3)(-3/4 x)=9(-4/3) x=-36/3= -12 x=-12
g(-8/7)(-7/8 x)=(-8/7)(-21/64) Cross simplify and you get 3/8 x=3/8

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Solve kx- 4 = 9 for x. ОА. x= 13 – к Ов. х= Ос. х- 13 Op. x = 13k

boyakko [2]

kx-4=9

Move -4 to the other side. Sign changes from -4 to +4

kx-4+4=9+4

kx=13

Divide by k for kx and 13

Cross out k and k = 1.

x=13/k

Answer: x=13/k

7 0

4 years ago

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

The unit of money in England is the pound (£). When Anne visits England, £10 equals $13. She sees a bike rental that costs £3 pe

Bogdan [553]

Answer:

Step-by-step explanation:

because if you divide 10 by 3 she will only be able to ride for 3 hours

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3 years ago

Estimate the quotient 63.5 divided by 5

skad [1K]

Dividing by 5 is equivalent to dividing by 10 and then multiplying by 2.
therefore:

63.5/5 = (63.5/10) * 2 = 6.35 * 2 =12.70 which rounds to 13.

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4 years ago

What is the radius of the circle?

Lady_Fox [76]

How much is that circle then multiply that by how many pieces you can fit in there

7 0

4 years ago