Write the answer in simplest form. 1/5 × 13/20

specific radioactive substance follows a continuous exponential decay model. It has a half-life of hours. At the start of the ex

lubasha [3.4K]

Answer:

$y = A_o (b)^t$

With $A_o = 82.6$ the initial amount and t the time on hours and t the time in hours. since the half life is 12 hours we can find the parameter of decay like this:

$41.3= 82.6(b)^{12}$

And solving for b we got:

$\frac{1}{2}= b^{12}$

And then we have:

$b= (\frac{1}{2})^{\frac{1}{12}}$

And the model would be given by:

$y(t) = 82.6 (\frac{1}{2})^{\frac{1}{12}}$

Step-by-step explanation:

Assuming this complete question: "A specific radioactive substance follows a continuous exponential decay model. It has a half-life of 12 hours. At the start of the experiment, 82.6g is present. "

For this case we can create a model like this one:

$y = A_o (b)^t$

With $A_o = 82.6$ the initial amount and t the time on hours and t the time in hours. since the half life is 12 hours we can find the parameter of decay like this:

$41.3= 82.6(b)^{12}$

And solving for b we got:

$\frac{1}{2}= b^{12}$

And then we have:

$b= (\frac{1}{2})^{\frac{1}{12}}$

And the model would be given by:

$y(t) = 82.6 (\frac{1}{2})^{\frac{1}{12}}$

4 0

4 years ago

The jury pool for the upcoming murder trial of a celebrity actor contains the names of 100,000 individuals in the population who

posledela

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Have a Spanish Jury possibility $= 0.40$

Jury member No. to be chosen $= n= 12$

Hispanic Juror Expected $= np = 12\times 0.40 = 4.8$

The jury group will be constituted by Hispanic Jurors $4.8$

OR

The binomial distribution defines the behavior of a count variable X, provided:

There are a set number of data points n.

Set $n=12$

Each perception is independent. This will not affect others if your first juror is selected

One of two results is that each observation ("success" or "failure"). English or not

Each result has the same chance of "success" p. for every $p=0.40$

Well by the binomial distribution. Mean $=E(x)=np=4.8$

8 0

3 years ago

Biologists use a formula to estimate the mass of a

balu736 [363]

Answer:

The approximate mass of the brain of a mouse is 2 grams

Step-by-step explanation:

The correct question in the attached figure

Let

B -----> the approximate mass B of the brain in grams

m ----> the mass of a mammal's brain in grams

we know that

$B=\frac{1}{8}m^{\frac{2}{3}}$ ----> given problem

we have

$m=64\ g$

substitute in the formula above

$B=\frac{1}{8}(64)^{\frac{2}{3}}$

Remember that

$(64)^{\frac{2}{3}}=\sqrt[3]{(64)^2}=\sqrt[3]{(4^{3})^2}=\sqrt[3]{(4^{6})}=4^{2}=16$

$B=\frac{1}{8}(16)\\\\B=2\ g$

6 0

3 years ago

The tax on a bike is $22.75. If the rate is 6.5%, how much was the original price of the bike?

Vedmedyk [2.9K]

Answer:

The tax on a bike is $22.75. If the rate is 6.5%, how much was the original price of the bike?

x = Price of bike

6.5% * x = 22.75
flip it
x = 22.75 / 6.5%

x = 350

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Solve for x Write both solutions, seperated by a comma 4x^2+5x+1=0

stiv31 [10]

Answer:

-1/4 , -1

Step-by-step explanation:

I solved it using Factorization method and Quadratic Equation .

Factorization Method

$4x^2+5x+1=0\\Write +5x- as- a -difference(write+5x-using- two- numbers -in-which-their-sum-is ; 5-and-their-product-is ; 4)\\4x^{2} +4x+1x+1=0\\Factorize-out-common-terms\\4x(x+1)+1(x+1)=0\\Factor-out-(x+1)\\(4x+1)(x+1)=0\\4x+1 =0 \\x+1=0\\4x=0-1\\x =0-1\\4x =-1\\x =-1\\4x=-\frac{1}{4} \\\\Answer = -1/4 , -1$

Quadratic Equation

$4x^2+5x+1=0\\a = 4\\b =5\\c = 1\\\\x =\frac{-b\±\sqrt{b^2 -4ac} }{2a} \\\\x = \frac{-(5)\±\sqrt{(5)^2-4(4)(1)} }{2(4)} \\\\x = \frac{-5\±\sqrt{25-16} }{8} \\\\x = \frac{-5\±\sqrt{9} }{8} \\\\x = \frac{-5\±3}{8} \\\\x =\frac{-5+3}{8} \\\\x = \frac{-5-3}{8} \\\\x = \frac{-2}{8} \\\\x = \frac{-8}{8} \\\\x = -\frac{1}{4} \\x=-1$

5 0

3 years ago