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3 years ago

Pls I need help with this math question.

Mathematics

1 answer:

Phantasy [73]3 years ago

7 0

Answer: -4096

Step-by-step explanation:

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bacteria colonies can triple in size every 4 days. if you start with 40 bacteria microorganisms, how large would the colony be a

Westkost [7]

Assuming the reaction is of 1st order, we can start using the formula for rate of 1st order reaction:

dN / dt = k * N

Rearranging,

dN / N = k dt

Where N = amount of sample, k = rate constant, t = time

Integrating the equation from N = Ni to Nf and t = ti to tf will result in:

ln (Nf / Ni) = k (tf – ti)

Since k is constant, we can equate to situations. Situation 1 is triple in size every days, situation 2 is after 20 days.

ln (Nf / Ni) / (tf – ti) = k

ln (3Ni / Ni) / 4 = ln (Nf / 40) / 20

Calculating for Nf,

Nf = 9,720 bacteria

6 0

3 years ago

Read 2 more answers

Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is

Elis [28]

In order for F to be conservative, there must be a scalar function f such that the gradient of f is equal to F. This means

$\dfrac{\partial f}{\partial x}=3x^2-2y^2$

$\dfrac{\partial f}{\partial y}=4xy+4$

Integrate both sides of the first equation with respect to x :

$f(x,y)=x^3-2xy^2+g(y)$

Differentiate both sides with respect to y :

$\dfrac{\partial f}{\partial y}=-4xy+\dfrac{\mathrm dg}{\mathrm dy}=4xy+4\implies\dfrac{\mathrm dg}{\mathrm dy}=8xy+4$

But we assume g is a function of y, which means its derivative can't possibly contain x, so there is no scalar function f whose gradient is F. Therefore F is not conservative.

8 0

3 years ago

| Solve for X 8x + 1 = 49

Doss [256]

8x + 1 = 49

8x = 48

x = 6

6 0

3 years ago

Ray UW is the angle bisector of AngleVUT.

tester [92]

Answer:

AngleWUT =38°, option 2

Step-by-step explanation:

We have three rays passing through U. A ray is set extend in one direction with one fixed point.

We have UW ray bisecting VUT.As the ray bisects the angle between VUW and WUT would be same .

Given angles are (4x+6)° and (6x-10)°.

As these angles are equal

$4x+6=6x-10$

$2x=16$

$x=8$

AngleWUT = (6x – 10)°

and x is 8 so on substituting AngleWUT =38°.

5 0

3 years ago

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What is the slope of this equation? y = 3x - 4

Rainbow [258]

Answer:

m=3 is the slope of this equation y=3x-4

6 0

3 years ago