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dalvyx [7]
3 years ago
13

Find the volume of the sphere

Mathematics
1 answer:
nekit [7.7K]3 years ago
3 0

Answer:

2144.66 cubic yards

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On his way home from the laboratory, Louie realized that he left a test tube containing 2560 yeast cells in the lab. Every two m
balandron [24]

Answer: 2560e^{0.2027.t} < 98415

Step-by-step explanation:

The number of cells increase in an exponential growth, which is, in general:

A(t) = A₀.e^{kt}

where;

A is the growth at a time "t"

A₀ is the initial amount of cells

k is rate of growth

t is time in minutes

To write an equation for the conditions described above, we have to find the rate k, knowing that at every 2 minutes, the number of cells increases by 50%, i.e., A₀*1.5:

A(2) = 2560e^{2k}

2560*1.5 = 2560e^{2k}

e^{2k} = 1.5

ln(e^{2k}) = ln(1.5)

k = 0.2027

With the initial value, the rate and knowing that the number of cells has to be less than 98415:

2560e^{0.2027.t} < 98415

<u>The inequality in terms of t is 2560</u>e^{0.2027.t}<u> < 98415</u>

8 0
3 years ago
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SOME ONE HELP ME ASAP!!! PLEASE I REALLY NEED IT PLEASE HELP ME OUT EXTRA POINTS PLEASE!!!
Montano1993 [528]

Answer:

1

Step-by-step explanation:

  • (-10÷(-1)+(-9))2nd power
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8 0
3 years ago
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4x + 8y = 20<br> - 4x + 2y = -30
wlad13 [49]

4x + 8y = 20

- 4x + 2y = -30

find y first

in order to find y eliminate x

add the two equations together

4x+-4x+8y+2y= 20+-30

4x-4x+8y+2y= 20-30

10y= -10

divide both sides by 10 to get y by itself

10y/10= -10/10

y= -1

find x by using the substitution method

- 4x + 2y = -30

-4x+2(-1)=-30

-4x-2= -30

move -2 to the other side

sign changes from -2 to +2

-4x-2+2= -30+2

-4x= -28

divide both sides by -4

-4x/-4= -28/-4

x= 7

answer:

(7,-1)

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3 years ago
Write a real world division problem for which you would drop the remainder
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I have have 16 cookies and I shared it with 5 friends. How much cookies I have left
Answer:3R 1
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3 years ago
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5-2x=15<br><img src="https://tex.z-dn.net/?f=5%20-%202x%20%3D%2015" id="TexFormula1" title="5 - 2x = 15" alt="5 - 2x = 15" align
padilas [110]
<span>5-2x=15

</span>5-2x=15 \\  \\ -2x= 15-5  \\  \\ -2x= 10 \\  \\ x=  \dfrac{10}{-2} \to  \boxed{x= -5}<span>
</span>
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