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aliina [53]
3 years ago
6

HELP

Mathematics
1 answer:
dybincka [34]2 years ago
8 0

Answer:

y=2×+1 im a bit rusty hope this helps in some way

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The half-life of plutonium-241 is 14.4 years. How much of the original 3.6 grams of this
avanturin [10]

\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &3.6\\ t=\textit{elapsed time}\dotfill &45\\ h=\textit{half-life}\dotfill &14.4 \end{cases} \\\\\\ A=3.6\left( \frac{1}{2} \right)^{\frac{45}{14.4}}\implies A=3.6\left( \frac{1}{2} \right)^{3.125}\implies A\approx 0.41265

5 0
2 years ago
One of the children bought their teacher a mathematical plant for the classroom windowsill. At the end of the first day it had i
Vlad [161]

Answer:

  18 days

Step-by-step explanation:

Here's a short table of heights:

  day 0: height = 1

  day 1: height = 1 + (1/2)(1) = 3/2

  day 2: height = (3/2) + (1/3)(3/2) = 3/2 + 1/2 = 2

The pattern of heights is ...

  (day, height) = (0, 1), (1, 1.5), (2, 2)

The plant is growing 1/2 its original height each day, so we can write the equation ...

  h = 1 + d/2

We want to find the number of days (d) that result in a height of 10 (ten times the original height).

  10 = 1 + d/2

  9 = d/2 . . . . subtract 1

  18 = d . . . . . multiply by 2

It took 18 days for the plant to grow to 10 times its original height.

5 0
3 years ago
Marshall wrote a total of 8 pages over 4 hours. After spending 7 hours writing this week, how many pages will Marshall have writ
astraxan [27]
8 pages per 4 hrs
2 pages per hour
2 pages per 7 hours
14 pages
7 0
3 years ago
I am not sure how to slove
notsponge [240]

First .... the limit of the given function is NOT EQUAL to 5 (it diverges so it has no limit).  There is a typo.  The 14 should be positive.

\lim_{x \to\ 7} \bigg(\dfrac{x^2-9x+14}{x-7}\bigg)=5

The precise definition of a limit is:

\text{If for every } \epsilon>0\text{ there exists a }\delta >0\text{ such that}\\|f(x)-L|

Given:

f(x) = \dfrac{x^2-9x+14}{x-7}\\\\L=5\\\\a=7\\\\\\|f(x)-L|

⇒ \epsilon = \delta

When ε = 0.1,     δ = 0.1

When ε = 0.01,   δ = 0.01

5 0
3 years ago
A) (3,2),(2,1)<br><br> B) (3,-2),(-2,1)<br><br> C) (-3,2),(-2,-1)<br><br> D) (-3,-2),(2,-1)
bija089 [108]

Answer:

d

Step-by-step explanation:


4 0
3 years ago
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