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Dmitry [639]
3 years ago
12

Pls help me I have other homework to do. Also it detects if it’s right or wrong:( You can answer one or more!

Mathematics
1 answer:
kari74 [83]3 years ago
4 0
I’m not sure if they are all correct but I just wrote the problem has said

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The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain after 1000 years?
adell [148]

Answer: 129.33 g

Step-by-step explanation:

$$Let $p=A \cdot e^{n t}$ \\$(p=$ present amount, $A=$ initial amount, $n=$ decay rate, $t=$ time)

\begin{aligned}&\Rightarrow \text { Given } p=\frac{A}{2} \ a t  \ t=1590 \\&\Rightarrow \frac{1}{2}=e^{1590n} \Rightarrow n=\frac{\ln (1 / 2)}{1590}=-0.00043594162\end{aligned}

$$If $A=200 \mathrm{mg}$ and $t=1000$ then,$$\begin{aligned}P &=200 e^{\left(\frac{\ln \left(1/2\right)}{1590}\right) \cdot 1000} \text \\\\&=129.33 \text { grams}\end{aligned}$$

3 0
2 years ago
The length, l, of a rectangle is 3 times its width. The perimeter of the rectangle is greater than 48 centimeters. Which inequal
lana [24]
L>18
18/3 = 6
6(2) + 18(2) = 48
8 0
2 years ago
Two friends, Vani and Shaquana, took summer jobs. The equation y=28.8xy=28.8x represents Vani's earnings in dollars and cents, y
lora16 [44]

An equation is formed of two equal expressions. Shaquana earns $10 less per hour than Vani.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation y=28.8x represents Vani's earnings in dollars and cents, y, for working x hours.

y = 28.8x

y/x = 28.8

Hence, Vani is paid $28.8 per hour.

The amount that Shaquana earned was $653.40 in 33 hours. Therefore, per hour she was paid

Amount per hour = $653.40/33 = $19.8 per hour

The difference between the two is,

Difference = $28.8 - $19.8 = $10

Hence, Shaquana earns $10 less per hour than Vani.

Learn more about Equation:

brainly.com/question/2263981

#SPJ1

7 0
1 year ago
Find the value of 42 + 62.
stepan [7]
The value would just be the answer which is 104

8 0
3 years ago
Read 2 more answers
Evaluate (5 sin² 30ᴼ + cos² 45ᴼ - 4 tan² 30ᴼ) / ( 2 sin 30ᴼcos 30ᴼ + tan 45ᴼ)
Gnoma [55]
Note that
sin(30°) = 1/2
cos(30°) = √3/2
tan(30°) = 1/√3
cos(45°) = 1/√2
tan(45°) = 1

Therefore
5 sin²(30°) + cos²(45°) - 4 tan²(30°)
= 5*(1/4) + 1/2 - 4*(1/3)
= 5/12
= 0.4167

2 sin(30°) cos(30°) + tan(45°)
= 2(1/2)(√3/2) + 1
= 1.866

\frac{5sin^{2}(30)^{o}+cos^{2}(30^{o})-4tan^{2}(30^{o})}{2sin(30^{o})cos(30^{o})+tan(45^{o})}  =  \frac{0.4167}{1.866} =0.2233

Answer: 0.223
4 0
3 years ago
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