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Tju [1.3M]
3 years ago
8

What does a surface area/volume ratio of 6:1 mean for the cell’s ability to get the materials it needs that move across its surf

ace
Mathematics
1 answer:
Kay [80]3 years ago
8 0
<span>A small cell has a large Surface are/volume ratio and therefore can exchange molecules with it's external environment rapidly. 

Here, we can see the ratio is 6:1, which is very large ratio, so it will transport very rapidly. Thus,  it denotes that cell can easily get the material it needs that move across it's surface

Hope this helps!</span>
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Find the surface area of the regular pyramid. Write your answer as a decimal.
alexdok [17]

Answer:

Hello! answer: 176.6

Hope this helps!

6 0
3 years ago
Prove that sin3a-cos3a/sina+cosa=2sin2a-1
Sloan [31]

Answer:

\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1

Step-by-step explanation:

we are given

\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1

we can simplify left side and make it equal to right side

we can use trig identity

sin(3a)=3sin(a)-4sin^3(a)

cos(3a)=4cos^3(a)-3cos(a)

now, we can plug values

\frac{(3sin(a)-4sin^3(a))-(4cos^3(a)-3cos(a))}{sin(a)+cos(a)}

now, we can simplify

\frac{3sin(a)-4sin^3(a)-4cos^3(a)+3cos(a)}{sin(a)+cos(a)}

\frac{3sin(a)+3cos(a)-4sin^3(a)-4cos^3(a)}{sin(a)+cos(a)}

\frac{3(sin(a)+cos(a))-4(sin^3(a)+cos^3(a))}{sin(a)+cos(a)}

now, we can factor it

\frac{3(sin(a)+cos(a))-4(sin(a)+cos(a))(sin^2(a)+cos^2(a)-sin(a)cos(a)}{sin(a)+cos(a)}

\frac{(sin(a)+cos(a))[3-4(sin^2(a)+cos^2(a)-sin(a)cos(a)]}{sin(a)+cos(a)}

we can use trig identity

sin^2(a)+cos^2(a)=1

\frac{(sin(a)+cos(a))[3-4(1-sin(a)cos(a)]}{sin(a)+cos(a)}

we can cancel terms

=3-4(1-sin(a)cos(a))

now, we can simplify it further

=3-4+4sin(a)cos(a))

=-1+4sin(a)cos(a))

=4sin(a)cos(a)-1

=2\times 2sin(a)cos(a)-1

now, we can use trig identity

2sin(a)cos(a)=sin(2a)

we can replace it

=2sin(2a)-1

so,

\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1


7 0
3 years ago
Read 2 more answers
What is the equation of the graph below?
IgorC [24]
ANSWER

f(x) = (x  +  3)^{2}  - 1



EXPLANATION

The vertex of the graph is at


(-3,-1)


The equation of the graph in vertex form is given by the formula,



f(x) =  a{(x - h)}^{2}  + k


The above graph has a minimum point, hence
a >  \: 0

When we put these values into the equation we obtain,

f(x) = a(x -  - 3)^{2}   +  - 1


This implies that,

f(x) = a(x  +  3)^{2} - 1

The point (-2,0) lies on the line.


a( - 2 + 3)^{2}    - 1 = 0

a = 1


f(x) = (x  + 3)^{2}  - 1

The correct answer is D.
6 0
3 years ago
Help please...............
frozen [14]

Answer:

Sam made a mistake, and their correct value is 30.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Select all the statements that correctly describe the solutions to this system of equations?
Luba_88 [7]

x + y = 9

x = 9 - y

2x - y = 0

2(9 - y) - y = 0

18 - 2y - y = 0

-3y = -18

y = 6

x = 9 - y

x = 9 - 6

x = 3

5 0
3 years ago
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