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Pepsi [2]
3 years ago
11

|z-1| greater than or equal to 8 |z-1|>8

Mathematics
1 answer:
LekaFEV [45]3 years ago
4 0
Divide this into 2 equations. (z-1 is less than -8) and (z-1 is greater than 8). than solve the inequalities separately. you should get (z is less than -7) and (z is greater than 9).
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The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp. Jackie wants to manipulate the
Sauron [17]

The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp.

calculates three times a year, not just once a year.

f(x)= 4(4)^x

3 times a year

so x becomes 3x

f(x)= 4(1+r)^{3x}

4(4)^x=4(1+r)^{3x}

Take log on both sides

log(4)^x=log(1+r)^{3x}

log(4)^x=log(1+r)^{3x}

Use log property and move exponent before log

xlog(4)=3xlog(1+r)}

Divide both sides by x

log 4 = 3 log(1+r)

Solve for '1+r'

log 4 = log(1+r)^3

Remove log from both sides

4 = (1+r)^3

take cube root on both sides

1.584740= 1+r

1+r = 1.59

f(x)= 4(1+r)^{3x}

so equation becomes

f(x)= 4(1.59)^{3x}

1+r = 1.59

subtract 1 from both sides

So r= 59 = 59%

So growth factor is 59%

Answer is option C



5 0
3 years ago
Find the volume of a prism-shaped watermelon in cubic inches if it's length is 10 inches, its width is 2/3 foot and it's height
Murljashka [212]
The volume is 60 cubic inches.

To solve, follow the formula Volume = Length · Height · Width. If you are solving without a calculator, simply multiply the length and the height first, then multiply the product of that by the width, 2 / 3.
V = 10 · 9 · 2/3
V = (10 · 9) 2/3
V = 90 · 2/3
<span>V = 60 in.³
</span>
Hope this helps. Good luck! :)
3 0
3 years ago
7.8x5.1= a negative or a positive
Illusion [34]

Answer:

positive

Step-by-step explanation:

it is positive

6 0
3 years ago
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alekssr [168]

Answer:

Step-by-step explanation:

area of rectangle=11×5=55 cm²

area of triangle=1/2×5×3=15/2=7.5 cm²

area of shaded region=55-7.5=47.5 cm²

6 0
3 years ago
Based on the pie chart, how many more people
Lerok [7]

Answer:

:::::::::

d. 250 people

5 0
3 years ago
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