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ololo11 [35]
3 years ago
5

The table represents some measurements that Johnny recorded in his math class. What values COULD x and y represent, respectively

?
A)radius and area of a circle
B)side length and area of a square
C)side length and volume of a cube
D)side length and volume of a cone

Mathematics
1 answer:
Law Incorporation [45]3 years ago
4 0
Based on the given data set:

x   1   2   3    4  5 
y   1   8   27 64 125

the relationship between the two variables is notably:

y = x^3

this formula represents the volume of a cube:

V = s^3

Therefore, the answer is C) Side length and volume of a cube. 
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The doubling period of a bacterial population is 15 minutes. At time t= 80 minutes, the bacterial population was 90000​
Papessa [141]

Answer:

here i finished!

hope it helps yw!

Step-by-step explanation:

The doubling period of a bacterial population is 15 minutes.

At time t = 90 minutes, the bacterial population was 50000.

Round your answers to at least 1 decimal place.

:

We can use the formula:

A = Ao*2^(t/d); where:

A = amt after t time

Ao = initial amt (t=0)

t = time period in question

d = doubling time of substance

In our problem

d = 15 min

t = 90 min

A = 50000

What was the initial population at time t = 0

Ao * 2^(90/15) = 50000

Ao * 2^6 = 50000

We know 2^6 = 64

64(Ao) = 50000

Ao = 50000/64

Ao = 781.25 is the initial population

:

Find the size of the bacterial population after 4 hours

Change 4 hr to 240 min

A = 781.25 * 2^(240/15

A = 781.25 * 2^16

A= 781.25 * 65536

A = 51,199,218.75 after 4 hrs

6 0
3 years ago
Solve the math problem
zalisa [80]

Answer:

\frac{4w {}^{8} }{9m {}^{4} }

Step-by-step explanation:

separate with like terms

\frac{4}{9} , \:  \frac{w {}^{9} }{w}  \: and \: \:  \frac{m {}^{5} }{m {}^{9} }

the first fraction can be left alone as it can't be simplified any further

the second fraction can be written as w⁹ ÷ w¹ , when the bases are the same and division is involved subtract the powers: 9 - 1 = 8, so it's simplified to w⁸

the third fraction can be written as m⁵ ÷ m⁹, subtract the powers: 5 - 9 = -4, so it's simplified to m⁻⁴

{m}^{ - 4}  =  \frac{1}{m {}^{4} }

putting it together:

\frac{4w {}^{8} }{9m {}^{4} }

4 0
2 years ago
What is the value of X
ExtremeBDS [4]
\dfrac{6}{9}=\dfrac{x+3}{3+9}\\
\dfrac{2}{3}=\dfrac{x+3}{12}\\
3(x+3)=24\\
x+3=8\\
x=5
8 0
2 years ago
What is the circumference of a circle with a diameter of 2.9 cm?​
slega [8]

Answer:

The answer is 9.111

7 0
3 years ago
Read 2 more answers
find the balance in the account after the given period $500 principal earning 4% compound quarterly after 6 years
Debora [2.8K]
A=P(1+r/100)^n
A=500(1+4/400)^24
A=500(1.01)^24
A=634.87
8 0
3 years ago
Read 2 more answers
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