All categories

4 years ago

In your own words, write a definition for the word:Base:

Mathematics

1 answer:

Luba_88 [7]4 years ago

8 0

The main part of something or the bottom of an object.

You might be interested in

X^3-3x^2=0<br> Write in quadratic form

Reptile [31]

Answer:

x=0,3

Step-by-step explanation:

3 0

3 years ago

Tyrone runs 5 mph how far can he travel in two hours and 30 minutes

zaharov [31]

Answer:

12.5 miles

Step-by-step explanation:

5x2.5=12.5 miles

5 0

3 years ago

Paul wrote the equation t=2m+40 to represent the temperature, t, in degrees Celsius, after a substance had been heated for m min

Usimov [2.4K]

First you need to fill in the variables with what you already know, so
t=2m+40.
You don’t have enough information to solve this problem. You need to have only 1 variable to solve it or you need more information

4 0

3 years ago

At the beginning of an experiment, a scientist has 300 grams of radioactive goo. After 150 minutes, her sample has decayed to 37

monitta

Answer:

Half-life of the goo is 49.5 minutes

$G(t)= 300e^{-0.014t}$

191.7 grams of goo will remain after 32 minutes

Step-by-step explanation:

Let $M_0\,,\,M_f$ denotes initial and final mass.

$M_0=300\,\,grams\,,\,M_f=37.5\,\,grams$

According to exponential decay,

$\ln \left ( \frac{M_f}{M_0} \right )=-kt$

Here, t denotes time and k denotes decay constant.

$\ln \left ( \frac{M_f}{M_0} \right )=-kt\\\ln \left ( \frac{37.5}{300} \right )=-k(150)\\-2.079=-k(150)\\k=\frac{2.079}{150}=0.014$

So, half-life of the goo in minutes is calculated as follows:

$\ln \left ( \frac{50}{100} \right )=-kt\\\ln \left ( \frac{50}{100} \right )=-(0.014)t\\t=\frac{-0.693}{-0.014}=49.5\,\,minutes$

Half-life of the goo is 49.5 minutes

$\ln \left ( \frac{M_f}{M_0} \right )=-kt\Rightarrow M_f=M_0e^{-kt}$

So,

$G(t)= M_f=M_0e^{-kt}$

Put $M_0=300\,\,grams\,,\,k=0.014$

$G(t)= 300e^{-0.014t}$

Put t = 32 minutes

$G(32)= 300e^{-0.014(32)}=300e^{-0.448}=191.7\,\,grams$

7 0

3 years ago

Enter the slope of the line through the points (-9, -6) and (3,-9). *

astraxan [27]

Answer:

Step-by-step explanation:

Do you have a number line or grid

7 0

3 years ago