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Reil [10]
3 years ago
6

the instantaneous growth rate r of a colony of bacteria t hours after the start of an experiment is given by the function r=0.01

t^3-0.07t^2+0.07t+0.15 for 0≤t≤7. find the times for which the instantaneous growth rate is zero.​
Mathematics
1 answer:
mojhsa [17]3 years ago
5 0

Answer:

t = 5,-1,3

Step-by-step explanation:

r=0.01t^3-0.07t^2+0.07t+0.15

For simplification let's multiply the equation by 100

100r = t³ - 7t² + 7t + 15

When r= 0

t³ - 7t² + 7t + 15= 0

Let's look for the value of t.

Let's try a possible division

(t³ - 7t² + 7t + 15)/(t-5) = t² -2t -3

So we've gotten one as t-5

Let's factorize t² -2t -3

= t² +t -3t -3

= t(t+1) -3(t+1)

= (t+1)(t-3)

So we have

(t-5)(t+1)(t-3)

What it means is that the possible values are when

t = 5,-1,3

These are also called the roots of the equation

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Let ff be the function that assigns to each student in the class her biological mother.
hoa [83]

Answer:

a) There cannot be sibling in the class.

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Step-by-step explanation:

The inverse of a function f is a function g that "reverses" f. In other words, if the function f is applied to an x and it gives a result of y, then applying the function g to y gives the result of x.  f(g(x)) = x.

For a function f to have an inverse, the function f has to give only one value y, when applied to an x.

a. In order for f to have an inverse, what condition must be true about students in the class?

So now, we have that f assigns each student in the class her biological mother.

Therefore, the set of X formed by the students in the class

And Y refers to their biological mother.

If we want f to have an inverse, then each mother should be assigned to only one student.

This means that the condition that must be true is that there cannot be brothers/sisters in the same class (for example, twins).

b.  If we enlarged the domain to include all students in the school, would this larger domain function have an inverse.

Applying the same thinking, for f to have an inverse, every mom should be assigned to only one student.

Therefore, for this larger domain, there shouldn't be brothers/sisters studying in the same school.  

8 0
3 years ago
How much is 320 gal + 4
kobusy [5.1K]

Answer:

324

Step-by-step explanation:

320 + 4 = 324

7 0
3 years ago
The sentence on the bottom not on the top.<br><br> GIVE U 100 POINTS PROMISE
oksian1 [2.3K]
John dana and douglas painted a room
they have combined effort so
john+dana+douglas=total room

total room=100%=1/1=1
so 1 whole=8/8 so
2/8 is painted by john so they don't need to paint that so
so
2/8+dana+douglas=8/8
subtract 2/8 frm both sides
dana+dogluas=(8-2)/8=6/8
dana+douglas=6/8
dana painted same as douglas so divide by 2
dana=douglas=3/8


so A is 6/8 or 3/4
B is 2/8+3/8+3/8=8/8 or 2/8+dana+douglas=8/8

7 0
3 years ago
Read 2 more answers
In ΔCDE, m∠C = (9x+11)^{\circ}(9x+11) ∘ , m∠D = (3x-15)^{\circ}(3x−15) ∘ , and m∠E = (2x+16)^{\circ}(2x+16) ∘ . What is the valu
Ksivusya [100]

Answer:

x = 12

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

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14x + 12 = 180 ( subtract 12 from both sides )

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x = 12

5 0
3 years ago
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boyakko [2]

Answer:

4800 / 32=150 milligrams per ant. Since each ant can carry 50x its bod weight, then 150/50=3 milligrams, which about the weight of each ant

5 0
2 years ago
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