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3 years ago

What is the definition of math

2 answers:

8 0

Mathematics is the study of numbers, shapes and patterns. ... Mathematics includes the study of: Numbers: how things can be counted. Structure: how things are organized. This subfield is usually called algebra.

nata0808 [166]3 years ago

3 0

Answer:

a subject in school in which you learn to do things with numbers

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A farmer in China discovers a mammal hide that contains 37% of its original amount of C-14. Find the age of the mammal hide to t

Naya [18.7K]

Answer: 54678 years

Step-by-step explanation:

This can be solved by the following equation:

$N_{t}=N_{o}e^{-\lambda t}$ (1)

Where:

$N_{t}=54\%=0.54$ is the quantity of atoms of carbon-14 left after time $t$

$N_{o}=1$ is the initial quantity of atoms of C-14 in the mammal hide

$\lambda$ is the rate constant for carbon-14 radioactive decay

$t$ is the time elapsed

On the other hand, $\lambda$ has a relation with the half life $h$ of the C-14, which is $5730 years$ :

$\lambda=\frac{ln(2)}{h}=\frac{ln(2)}{5730 years}=1.21(10)^{-4} years^{-1}=0.000121 years^{-1}$ (2)

Substituting (2) in (1):

$0.54=1e^{-(0.000121 years^{-1}) t}$ (3)

Applying natural logarithm on both sides of the equation:

$ln(0.54)=ln(1e^{-(0.000121 years^{-1}) t})$ (4)

$-0.616=-(0.000121 years^{-1}) t$ (5)

Isolating $t$ :

$t=\frac{-0.616}{-0.000121 years^{-1}}$ (6)

$t=54677.68 years \approx 54678 years$ (7) This is the age of the mammal hide

8 0

3 years ago

What is the solution to −2(2x−6)+4x≤−8x+4(−2x−5) ?

olga_2 [115]

Answer:

x<_-2 ( x is less than or equal to -2)

Step-by-step explanation:

First remove opposites and collect like terms so it will be -4x+12+4x<_-8x-8x-20.

Then move them to be 12<_-16x-20.

Move -16x to the left and the 12 to the right to combine it with -20 to become -32.

You are now left with 16x<_-32.

Divide both sides by 16 to get x<_-2.

Hope this helped :) btw <_ is less than or equal to i just dont know how to put the sign on top of the underscore :/

6 0

3 years ago

Yooooooo who plays fort

jenyasd209 [6]

Nahhhhhh not me dog but thanks for the question to get points

3 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP!! How does the graph of f(x) = (x − 8)3 + 4 compare to the parent function g(x) = x3?

natulia [17]

The function has been shifted 8 units to the right and and shifted up 4 units

3 0

3 years ago

This graph shows the solution to which inequality

Butoxors [25]

Answer:

A) $y > \frac{2x}{3} +1$

Step-by-step explanation:

The general form of a straight line is y = mx + c, where m is the slope and c is the y-intercept.

From the graph, we have the end points of the line as (3,3) and (-3, -1).

Using these points, we will find the value of the slope 'm'.

i.e. m = $\frac{-1-3}{-3-3}$

i.e. m = $\frac{2}{3}$

So, we get the equation of the line as $y = \frac{2x}{3} +c$ .

Now, using any point say (3,3) and the above equation, we will find the value of the y-intercept c.

i.e. $3 = \frac{2*3}{3} +c$ .

i.e. c = 1.

Hence, the equation of this straight line is $y = \frac{2x}{3} +1$ .

As seen from the graph, the line corresponding this straight line is dotted not solid, this means that the equality sign is not possible. So, we are left with either A or B.

To get the final answer, we will use the 'Origin Test' i.e. substitute the point (0,0) on both A and B. Then,

1. If the inequality is satisfied, the shaded region is towards the origin.

2. If the inequality is not satisfied, the shaded region is drawn away from the origin.

Now in option A, the 'Origin test' fails and the equation is not satisfied and therefore its graph will be drawn away from the origin, which is the case in our problem.

Hence, option A is correct.

4 0

3 years ago