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2 years ago

Last month you went on three hikes. One hike was 2 3/4 miles long, one was 1 1/2 miles long, and the other was 3 3/8 miles long

Mathematics

1 answer:

solniwko [45]2 years ago

8 0

2 6/8 + 1 4/8 + 3 3/8
2 + 1 + 3 = 6
6/8 + 4/8 + 3/8 = 13/8
So 6 13/8 or 7 5/8

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A model for tumor growth is given by the Gompertz equation dV dt = a (In b-, In V) V where a >0 and b >0 are constants and

Xelga [282]

Answer:

$V(t) = b^{(1-e^{-at})}$

Step-by-step explanation:

We are given the following information in the question:

$\displaystyle\frac{dV}{dt} = a (In b - In V) V$

where a > 0 and b > 0.

$\displaystyle\frac{dV}{dt} = a (In b-In V) V\\\\\displaystyle\frac{dV}{dt} = -aV(ln\frac{V}{b})\\\\\frac{dV}{V(ln\frac{V}{b})} = (-a)dt\\\\\text{Put } ln\frac{V}{b} = z\\\\\text{Integrating both sides}\\\\\int \frac{dV}{V(ln\frac{V}{b})} = \int (-a)dt\\\\\text{We get}\\\\\int \frac{dz}{z} = \int (-a)dt\\\\\\\text{where C is the constant of integration}$

$V(0) = 1~ mm^3\\V(t) = b.e^{e^{-at+C}}\\\text{Putting t =0, V(0) = 1}\\\\V(0) = 1 = b.e^{e^{C}}\\\\V(t) = b^{(1-e^{-at})}$

where v(t) is the required tumor volume as a function of time that has an initial tumor volume of V(0) = 1 cubic mm.

5 0

2 years ago

Answer number 16 about scientific notation please:)

kotegsom [21]

Answer:

= 4.32 × 10^4

Step-by-step explanation:

= 4.32 × 10^4

(scientific notation)

= 4.32e4

(scientific e notation)

= 43.2 × 10^3

(engineering notation)

(thousand; prefix kilo- (k))

In scientific notation, a large number is converted to an equivalent decimal number between 1 and 10, multiplied by 10 raised to some power. Very small numbers are converted to an equivalent decimal number between 1 and 10, multiplied by 10 raised to some negative power.

6 0

2 years ago

What is the sum of the measures of the exterior angles of a decagon?

My name is Ann [436]

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon is 360°

sum of exterior angles of decagon = 360°

4 0

1 year ago

(-w-6)/(w^2+4w-12), how do i write this into simplest form?

PIT_PIT [208]

First factorise the top = -(w+6)
The first factorise the bottom: (w^2 + 4w -12) = (w+6) (w-2)
Therefore the two (w+6) cancels out and you are left with -1 / w-2

7 0

2 years ago

Q1. A fluorescent lamp takes in energy from the electricity supply at the rate of 18 joules each second. It gives out 3 joules o

Dmitrij [34]

Answer:

15 joules

Step-by-step explanation:

SUBTRACT 3 FROM 18

18 JOULES-3 JOULES=15 JOULES

HOPE IT HELPS

8 0

2 years ago