How many integer values for 'a' satisfy the inequality?

Answer:

a

Step-by-step explanation:

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:

36

Step-by-step explanation:

just divided 9 by 1/4 I think I may be wrong.

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.

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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: 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:

ECB

Step-by-step explanation:

I noticed they looked exactly the same.

Answer:

It should be ΔABD, ΔECD, and ΔECD

Step-by-step explanation:

Since ΔABE is a right triangle, one angle must be 90° with a square to signify it.

Answer:

x = 6

Step-by-step explanation:

∠ AFB and ∠ EFC are vertically opposite angles and are congruent , then

21x - 9 = 117 ( add 9 to both sides )

21x = 126 ( divide both sides by 21 )

x = 6

The measured valued of x is 6.

Vertical angles are generated by the junction of two straight lines that are not contiguous. Vertical angles are positioned across from each other in the corners of the "X" created by two straight lines.

We have,

<AFB = 21x- 9

and, <DFC = 27

Using Vertical Angle

<AFB = (<EFD + <DFC)

21x - 9=  (90 + 27)

21x - 9 = 117

21x = 117 + 9

21x = 126

x = 6

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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:

6 - 5 < X

Is your expression

Answer:

Square

Rectangle

Step-by-step explanation:

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

Answer:

194.4

Step-by-step explanation:

The remainder is 4

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

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:

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:

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:

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

Step-by-step explanation:

Answer:

Step-by-step explanation:

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

13 hours × $22.90/hour = $297.70

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

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Answer:

+9

Step-by-step explanation:

12-9+x=12

3+x=12

x=12-3

x=9

Answer:

less than because of 2/5 being so small

Answer:

6,6

Step-by-step explanation:not right sorry

Answer:

y=-2(-1)+3 y=5

y= -2(0)+3 y=3

y= -2(1)+3 y=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:

Im sorry for you this is too complex

Answer:

Those asymptotes give you some structure from which you can fill in the missing points. Find the vertical asymptotes so you can find the domain.

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]

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.

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