4
Om obtuse, scalene
Obright, scalene
Oc, right, isosceles
Od, right, equilateral

Answer:

1) There are 100 carbon-14 atoms in the wood when it died

2) A function that models the number 'N' of carbon-14 atoms present in the wood (t) years after it died is  presented as follows;

[tex]N = 100 \times \left (\dfrac{1}{2} \right )^{\dfrac{t}{5,730} }[/tex]

Step-by-step explanation:

The given parameters are;

The number of carbon-12 for each carbon-14 atom ≈ 10¹² carbon-12 atoms

The number of carbon-12 in the piece of wood = 10¹⁴ carbon-12 atoms

The number of carbon-14 in the piece of wood = 40 carbon-14 atoms

The number of carbon-12 in an organism = Constant

The number of carbon-14 in an organism = Decays

1) Given that the number of carbon-12 in an organism is constant, and there are 10¹² carbon-12 atoms per each carbon-14 atom, therefore, we have;

The number of carbon-12 atoms in the wood when it died = 10¹⁴ carbon-12 atoms

The number of carbon-14 atoms in the wood when it died = (10¹⁴ carbon-12 atoms)/(10¹² carbon-12 atoms/(carbon-14 atom)) = 100 carbon-14 atoms

The number of carbon-14 atoms in the wood when it died = 100 carbon-14 atoms

2) The half life of a radioactive isotope is given by the following formula;

[tex]N(t) = N_0 \cdot \left (\dfrac{1}{2} \right )^{\dfrac{t}{t_{\frac{1}{2} }} }[/tex]

The half life of carbon-14 atoms, [tex]t_{\frac{1}{2} }[/tex] ≈ 5,730 years

N₀ = The amount of carbon-14 present in the wood when it died = 100 carbon-14 atoms

Therefore, we have;

The number, N, of carbon-14 atoms present in the wood (t) years after it died is given as follows;

[tex]N = 100 \times \left (\dfrac{1}{2} \right )^{\dfrac{t}{5,730} }[/tex]

Answer:

13.5 is the next term

4, 6, 9, 13.5

Step-by-step explanation:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 3/2

formula= an=a1⋅r^n-1

Answer:

45.5625

Step-by-step explanation:

The pattern seems to be x + (x/2) = y where x is the previous number and y is the next number.

4 + (4/2) = 6

6 + (6/2) = 9

therefore we continue the pattern. In doing so we get:

30.375 + (30.375/2) = 45.5625

Answer: y + 4 = -3(x+1)

Step-by-step explanation:

We need to rewrite in form of y=mx+b.

3x+y=5

     y = -3x + 5  

The slope is -3.

In addition, the slope of two parallel line would be equal, the slope of the line would be -3.

y- y1 = m(x- x1)

y- (-4) = -3(x - -1)

y + 4 = -3(x+1)

Answer:

Step-by-step explanation:

You need to use trigonometry. tana=opposite side divided by adjacent side so

tan32=11/x

x=11/(tan32)

x=17.6

Answer:

Search it up then you will get the answer

Step-by-step explanation:

Answer:

D.9

Step-by-step explanation:

Plug in 3 for x.

2^3=8

8+1=9

Answer:

4

Step by step:

This is if the question is saying you completed 87.5% of the exercises. Otherwise, I don't know what it is asking.

87.5% of 32=28

32-28=4

Answer:

I think the answer is 236,544.

Step-by-step explanation:

I hope this helps you! :D

Answer:

8

Step-by-step explanation:

You can solve this by creating a linear equation.

Slope: 2.50

Y-intercept: 4.70

y=2.50x+4.70

Since we know that the total fare was 24.70 we can plug it into the y.

24.70=2.50x+4.70

Now solve for the equation.

20=2.50x

8=x

So he went 8 miles with the taxi.

Total number or mile taxi run is 8 miles.

Given that;

Pick up charge = $4.7

Charges per mile = $2.5 per mile

Total fare = $24.7

Find:

Number of mile taxi ride

Computation:

Total fare = Pick up charge + [Total number or mile taxi run][Charges per mile]

24.7 = 4.7 + [Total number or mile taxi run][2.5]

[Total number or mile taxi run][2.5] = 24.7 - 4.7

[Total number or mile taxi run][2.5] = 20

Total number or mile taxi run = 20 / 2.5

Total number or mile taxi run = 8 miles

Learn more:

https://brainly.com/question/3530056?referrer=searchResults

Answer:

+9

Step-by-step explanation:

12-9+x=12

3+x=12

x=12-3

x=9

Answer:

The area is 81.27

Step-by-step explanation:

Sorry for the late response, but I hope I helped and I always appreciate brainliest!!! :)

If you ever need me to answer a question, feel free to ask!

Answer:

area = 130.5 in²

Step-by-step explanation:

area = 1/2(6)(8.7)(5) = 130.5 in²

Set of events " rolling a six-sided cube and drawing 6 marbles out of a bag " have an equally like chance of occurring.

Option B is correct.

Probability of series of experiments shown below;

A. When spinning a spinner with 3 sections then probability of one section is [tex]\frac{1}{3}[/tex] .

 When tossing a coin, then probability of getting head or tail is [tex]\frac{1}{2}[/tex]

So that, set A has not equally like chance of occurring.

B. When rolling six-sided cube, probability of getting one number is [tex]\frac{1}{6}[/tex]

   When one marble is drawn out of 6 marble in a bag, then  probability is [tex]\frac{1}{6}[/tex]

Therefore, set B has equally like chance of occurring.

Learn more about the probability here:

https://brainly.com/question/24756209

Answer:

Step-by-step explanation:

There is an x², so the equation is a parabola, not a line.

Answer:

Im sorry for you this is too complex

Answer:

Step-by-step explanation:

$183.20/(8 hours) = $22.90/hour

13 hours × $22.90/hour = $297.70

Answer:

194.4

Step-by-step explanation:

The remainder is 4

Answer:

11.16in^2

Step-by-step explanation:

Area of a sector = theta/360 * πr²

Area of a sector = 80/360 * 3.14*4²

Area of a sector = 8/36 * 50.24

Area of a sector  = 401.92/36

Area of a sector = 11.16in^2

Hence the Area of the sector is 11.16in^2

Answer:

11.16 in²

Step-by-step explanation:

I took the test

Answer:

I cant see ths graph but look for one with a positive relationship between flour and sugar meaning that if flour is on one axis sugar should be on the other they should both go up by one every time

Step-by-step explanation:

The graph should say for example at 3 cups of flour that their is 3 cups of sugar. It should look upwards in growth and use whole positive numbers.

Answer:

A. The answer is 165.85.                                                                                        B. The best answer is 1.435 ·103 because while they both are really small for a rail road track that one is bigger. the final answer for that is 147.805mm.

Step-by-step explanation:

(3.9 x 10³³) / 1  =  X / (2.45 x 10⁵)  .

Solve that proportion for ' X ' in the usual way.

If you can't remember how to solve a proportion, then  

THAT's what you have to go look up.  It's much more

important to you right now than how much energy the  

sun is putting out.

7.4 x 10⁴ mm is the same size as about 243 feet !

If the tracks on a DVD were that far apart, there would not be  

room for very many tracks on a DVD.  That's not reasonable.

If the tracks are  7.4 x 10⁻⁴ mm apart, then there are about  

34,000 tracks in a stripe that's 1-inch wide.  I have no idea

how they do this, but it's certainly more reasonable than the  

other choice.                                                                                                                      Hope this helps! Can you please give me Brainleist?

Answer:

[tex]\lim_{n \to \infty} a_n \int\limits^a_b {x} \, dx[/tex]

Step-by-step explanation:

Answer:

sorry i need points but i hope you find what your looking for!

Step-by-step explanation:

Answer:

20 of the M&M's are blue.

Step-by-step explanation:

[tex] \frac{2}{3} \times 30 \\ = 20[/tex]

Answer:

Square

Rectangle

Step-by-step explanation:

In rectangle and square "Diagonals are congruent to each other"

Answer:

6,6

Step-by-step explanation:not right sorry

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]f(x)-g(x)=2x^2+3x+2-x-1\\ \\ f(x)-g(x)=2x^2+2x+1[/tex]

Mary earns $11.5 per hour.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have,

Mary earns $247.25 for gardening.

Mary worked for 21.5 hours.

So, Mary earns per hour

= 247.25 / 21.5

= $11.5

Thus, Mary earns $11.5 per hour.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

Let's get this show on the road!

Step-by-step explanation:

I'm not sure how to explain it, i was just thinking of phrases that fit the spaces.

Answer:

the whole thing would be  (-5,4)

Step-by-step explanation:

1 would be -5

2 would be 4

3 would be (-5,4)

4 would be (4,-5)