What is the answer to this question ?

At time t = 0 you have 100 grams of radioactive Chromium-48. Ten hours later you have 74 grams left. What is the half life of Ch

Snowcat [4.5K]

To calculate what is asked we use the formula for radioactive decay. It is expressed as follows:

An = Ao (e^(-kt))

We calculate as follows:

An = Ao (e^(-kt))
74 = 100 (e^(-k(10)))
k = 0.0301

1/2 = (e^(-0.0301t))
t = 23 hours

Hope this answers the question.

6 0

3 years ago

The statement "The square of any rational number is rational" can be rewritten formally as "For all rational numbers x, x 2 is r

____ [38]

Answer:

a.

For all non zero fraction 1(1/x), 1/x is a fraction

For all 1/(1/x), if 1/(1/x) is non zero, 1/x is a fraction

b.

For all polynomial function f(x) = x³ + x² + x - 1, the derivative (dy/dx) is a polynomial function

For all f(x) x³ + x² + x - 1, if f(x) is polynomial, f'(x) is a polynomial function

c.

For all angles x,y,z of a triangle, the sum, x + y + z = 180

For all x,y,z, if x,y and z are the angles of a triangle, x+y+z = 180

d.

For all irrational numbers x, -x is irrational

For all x, if x is irrational then -x irrational.

e.

For two integers, x and y, the sum x+y is an integer

For x,y if x and y are integers, then x + y is an integer

f.

For two fractions, x/y and a/b the product ax/by is a fraction

For x/y and a/b, if x/y and a/b are fractions then ax/by is a fraction

3 0

3 years ago

HELP ME PLEASE, I'LL CHOOSE A BRAINIEST PERSON!!!

spayn [35]

All that are true:

sin(C) = square root 3/2
tan(C) = square root 3
sin (B) = 1/2

8 0

3 years ago

Tina sends 12 text messages each day in June. A mobile phone company offers two packages. Package A: The first 100 texts each mo

Mnenie [13.5K]

Two options are given to Tina. We find how much she pays for each option, and the one in which she pays less offers the better value.

Tina sends 12 text messages each day in June

June has 30 days, so in June, Tina sent 12*30 = 360 text messages.

Package A:

First 100 messages cost 3p, the next 100 cost $2 and after that each costs $1.

She sends 360 messages, with:

The first 100 costing 3p.

The next 100 costing 2p.

The final 360 - 200 = 160 costing 1p.

She pays:

$100*3 + 100*2 + 160*1 = 660$

Package B:

2p for each message, 360 messages, so:

360*2p = 720p.

Which package is better?

Package A costs less, thus, it offers her the better value for money in 30 days.

Another example of a problem in which a person has to choose between two packages is given in brainly.com/question/10693932

6 0

3 years ago

How do I find the slope from the first function?

Art [367]

Considering the linear function found in part a, we have that:

b) The slope is of AC.

c) The intercept is of AD + B.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The equation found in part a is:

A(Cx + D) + B.

Placing it in slope-intercept format, we have that it is given by:

ACx + AD + B.

Hence:

b) The slope is of AC, as it is the part that multiplies x.

c) The intercept is of AD + B, as it is the constant term.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

3 0

2 years ago