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wel
3 years ago
8

Write an expression that is equivalent to 9 + 5x - 5 + 3x

Mathematics
1 answer:
Vladimir79 [104]3 years ago
3 0

Answer:

8x + 4

Step-by-step explanation:

change it around

9-5   5x+3x.

9-5=4,  5x+3x=8x.

4+8x or 8x+4

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Animal populations are not capable of unrestricted growth because of limited habitat and food supplies. Under such conditions th
trasher [3.6K]

Answer:

(a) 100 fishes

(b) t = 10: 483 fishes

    t = 20: 999 fishes

    t = 30: 1168 fishes

(c)

P(\infty) = 1200

Step-by-step explanation:

Given

P(t) =\frac{d}{1+ke^-{ct}}

d = 1200\\k = 11\\c=0.2

Solving (a): Fishes at t = 0

This gives:

P(0) =\frac{1200}{1+11*e^-{0.2*0}}

P(0) =\frac{1200}{1+11*e^-{0}}

P(0) =\frac{1200}{1+11*1}

P(0) =\frac{1200}{1+11}

P(0) =\frac{1200}{12}

P(0) = 100

Solving (a): Fishes at t = 10, 20, 30

t = 10

P(10) =\frac{1200}{1+11*e^-{0.2*10}} =\frac{1200}{1+11*e^-{2}}\\\\P(10) =\frac{1200}{1+11*0.135}=\frac{1200}{2.485}\\\\P(10) =483

t = 20

P(20) =\frac{1200}{1+11*e^-{0.2*20}} =\frac{1200}{1+11*e^-{4}}\\\\P(20) =\frac{1200}{1+11*0.0183}=\frac{1200}{1.2013}\\\\P(20) =999

t = 30

P(30) =\frac{1200}{1+11*e^-{0.2*30}} =\frac{1200}{1+11*e^-{6}}\\\\P(30) =\frac{1200}{1+11*0.00247}=\frac{1200}{1.0273}\\\\P(30) =1168

Solving (c): \lim_{t \to \infty} P(t)

In (b) above.

Notice that as t increases from 10 to 20 to 30, the values of e^{-ct} decreases

This implies that:

{t \to \infty} = {e^{-ct} \to 0}

So:

The value of P(t) for large values is:

P(\infty) = \frac{1200}{1 + 11 * 0}

P(\infty) = \frac{1200}{1 + 0}

P(\infty) = \frac{1200}{1}

P(\infty) = 1200

5 0
2 years ago
Write an algebraic expression for the given quantity. Let X represent the unknown value one fourth of the sum of a number and ei
Leviafan [203]
I think that (1/4)x+8 would be your algebraic expression.  
4 0
3 years ago
What set of reflections and rotations would carry rectangle ABCD onto itself? Parallelogram formed by ordered pairs A at negativ
pickupchik [31]
Each of the 4 choices has been drawn step by step as follows:

the first transformation is drawn in light grey
the second transformation is drawn in dark grey
the third transformation is described as how it should be.


Choice I, picture I: 
Rotate 180°, reflect over the x-axis, reflect over the line y=x

the last transformation should be : reflect with respect to the y-axis


Choice II, picture II: 
Reflect over the x-axis, rotate 180°, reflect over the x-axis

the last transformation should be : reflect with respect to the y-axis



Choice III, picture III: 
Rotate 180°, reflect over the y-axis, reflect over the line y=x

the last transformation should be : reflect with respect to the x-axis



Choice IV, picture IV: 
Reflect over the y-axis, reflect over the x-axis, rotate 180°

the last transformation should be : rotate 180° CORRECT!



Answer:  Reflect over the y-axis, reflect over the x-axis, rotate 180°

6 0
3 years ago
Read 2 more answers
A fish tank measures 20cm by 30cm by 40 cm. a jug holds 1.2 L. how many jugs of water are needed to fill the tank.
ra1l [238]

Answer:

Multiply the numbers then divide by the amount of water in the jug

Step-by-step explanation:

6 0
3 years ago
Answer fast its sue by end of class
shtirl [24]

Step-by-step explanation:

question 1. Solve the equation 8-7/10 c = 6 - 1/5c for c

8 - 7/10c = 6 - 1/5c

subtract 8 from both sides:

8 - 7/10c - 8 = 6 - 1/5c - 8

- 7/10c  = -2 - 1/5c

add 1/5c to both sides:

- 7/10c + 1/5c = -2 - 1/5c  + 1/5c

- 7/10c + 1/5c = -2

change to common denominator:

- 7/10c+ 2/10c = -2

- 5/10c = -2

-1/2c = -2

multiply both sides by -2:

- 1/2c(-2) = -2(-2)

c = 4

___________________________________

question 2. 75 - 3.5y - 4y = 4y + 6 for y

75 - 3.5y - 4y = 4y + 6

75 - 7.5y = 4y + 6

add 7.5y to both sides:

75 - 7.5y + 7.5y = 4y + 6 + 7.5y

75 = 11.5y + 6

subtract 6 from both sides:

75 - 6 = 11.5y + 6 - 6

69 = 11.5y

divide both sides by 11.5:

69/11.5 = 11.5y/11.5

y = 6

___________________________________

Question 3. Solve the equation 16.5 + 2.75h = 9h + 7.5 − 4.25h for h.

16.5 + 2.75h = 9h + 7.5 − 4.25h

16.5 + 2.75h = 4.75h + 7.5

subtract 7.5 from both sides:

16.5 + 2.75h - 7.5 = 4.75h + 7.5 - 7.5

9 + 2.75h =  4.75h

subtract 2.75h from both sides:

9 + 2.75h - 2.75h =  4.75h - 2.75h

9 = 2h

divide both sides by 2:

9/2 = 2h/2

h = 9/2

6 0
1 year ago
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