The initial number of carbon-14 atoms in the organism at death is
.

After 11,460 years, there will be
carbon-14 atoms in the organism.

After
years, there will be 24.298 carbon-14 atoms in the organism.

Part (a)

Count the number of individual digits in the leaf category only.

For the first row, we have 3 leaves representing 3 different ages between 20 and 29. Specifically those ages are 26, 26, 29. Repeat ages are possible.

The second row has 17 leaves in it

So far we have 3+17 = 20 people accounted for.

Keep this process going until you get every row.

You should find that in total there are 56 leaves in all to represent the 56 signers of the declaration of independence.

To verify the answer, you can look it up on any history website dealing with this point in time.

=======================================================

Part (b)

The youngest age is 26 because it corresponds to the smallest stem (2) and the smallest leaf (6)

=======================================================

Part (c)

The oldest person on the other hand was 70 since we look at the largest stem (7) and the largest leaf of that stem. There's only one leaf here so we don't have to worry about the second aspect.

Subtract the oldest and youngest ages to get the range.

range = max - min = 70 - 26 = 44

There's a 44 year gap between the oldest and youngest person.

=======================================================

Part (d)

No, the majority weren't between 30 and 39. Instead, the majority of the signers were between 40 and 49 since we have the most leaves in the stem corresponding to "4".

Answer:

4$

Step-by-step explanation:

I = P*r*t

Interest = 80*0.05*1 = 0.8*5 = $4.00

Sound, earthquakes, the brightness of stars, and chemistry, such as pH balance, a measure of acidity and alkalinity, are all instances of this.

Answer:

37°

Step-by-step explanation:

Here it is given that there are two flagpoles which are 20 m apart. One of them is 12m high and the other is 27m high .And we are interested in finding the angle of depression from the top of taller pole to the top of shorter pole .

For illustration, refer to the attachment or below ,

Illustration :-

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\put(0,0){\line(0,1){6}}\put(0,0){\line(1,0){4}}\put(4,0){\line(0,1){4}}\multiput(0,4)(0.6,0){7}{\qbezier(0,0)(0,0)(0.5,0)}\qbezier(0,6)(0,6)(4,4)\put(0,6){\vector(1,0){3}}\qbezier(0.8,6)(1,5.8)(0.6,5.7)\put(1,5.6){$\theta$}\qbezier(3.2,4.42)(3,4.1)(3.25,4)\put(2.4,4.15){$\theta$}\put(-0.5,-0.5){A}\put(-0.5,6){E}\put(-0.5,3.8){D}\put(-0.8,5){15m}\put(4.3,-0.5){B}\put(-1.2,2){$ 27m $}\put(3.2,6){$ F $}\put(4.5,2){$ 12m $}\put(4.3,3.8){C}\put(-1,1.8){\vector(0,-1){1.8}}\put(-1,2.4){\vector(0,1){3.7}}\put(2,-0.5){$ 20m$}\put(2,3.5){$ 20m$}\end{picture} [/tex]

Here the angle of depression will be ,

[tex]\longrightarrow\sf \angle_{of \ depression}=\angle FEC [/tex]

Also ,

[tex]\sf\longrightarrow \angle FEC =\angle ECD \ (alternate \ interior \ angles)[/tex]

Let ,

[tex]\sf\longrightarrow \angle FEC =\angle ECD = \theta \ ( say ) [/tex]

Now in ∆ EDC , we have;

[tex]\sf\longrightarrow tan\theta =\dfrac{perpendicular}{base}\\ [/tex]

[tex]\sf\longrightarrow tan\theta =\dfrac{15m}{20m}\\[/tex]

[tex]\sf\longrightarrow tan\theta =\dfrac{3}{4}\\ [/tex]

[tex]\sf\longrightarrow \theta =tan^{-1}\bigg\lgroup \dfrac{3}{4}\bigg\rgroup\\ [/tex]

[tex]\sf\longrightarrow \underline{\boxed{\textsf{\textbf{$\boldsymbol{\theta}$= 37$^{\bf o }$ }}}} [/tex]

And we are done!

Answer:

θ = 37°

Step-by-step explanation:

In the figure,

Distance between the poles = DC = 20 m

Height of the smaller pole = ED = 12 m

Height of the larger pole = AC = 27 m

Now, by using the properties of a rectangle,

DC = EB = 20 m

ED = BC = 12 m

Then,

AB

= AC - BC

= 27 - 12

= 15 m

We know that,

tan (θ) = opposite side / base side

Then, in △ ABE,

(Here, θ = missing angle)

tan (θ) = AB / BE

tan (θ) = 15/20

tan (θ) = 3/4

=》 θ = 37°

___________

Note:

Ray A & BE are parallel horizontal lines with AE as the transversal, so both the angles are equal to each other as then they will be alternate interior angles & they are represented in this question as 'θ'.

[Refer to the attachment for the figure]

____________________

Hope it helps ⚜

Answer:

(x^2 + 3x - 12)/(x^3 + 5x^2 - 29x - 105)

Step-by-step explanation:

(x/(x^2 - 2x - 15) ) - (4/(x^2 + 2x - 35)) =

(x/((x-5)(x+3))) - (4/((x-5)(x+7))) =

((x * (x+7)) - (4 * (x+3)))/((x-5)(x+3)(x+7)) =

(x^2 + 7x - 4x - 12)/(x^3 + 5x^2 - 29x - 105) =

(x^2 + 3x - 12)/(x^3 + 5x^2 - 29x - 105)

Answer:

the Answer is D: x^2+3x-12/(x+3)(x-5)(x+7)

Step-by-step explanation:

Edge2020 ;D

5t + 9

Step-by-step explanation:

"The product of five times the number of tires t" means that you need to multiply 5 and t. "Nine more" means you need to add 9 to the product of 5 and t.

Answer:

[tex]5 \: times \: the \: number \: of \: tires \: t \: = 5t. \\nine \: more \: than \: that \: is \: 9 + 5t.[/tex]

hence the statement is represented by the expression 9 + 5t.

Answer: 5/6

Step-by-step explanation:

1/2 / 3/5 (you have to divide so you invert the 3/5 and multiply)

1/2 x 5/3 (then you multiply the upper numbers and write them up, and multiply the lower numbers and write them down

Answer:

1. is 1

2. is 0.722222222222

3. is 0.56666666666

4. is 0.791666666666

5. is 1.25

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The gcf is 12, so you'll divide 12 to both the 48 and the 180.

So it'll look like this...

[tex]12(4e+15)[/tex]

P.S. don't forget to the "e"

If you want to check if you're right just distribute the 12 and you should get 48e + 180 if you didn't you did something wrong.

Answer:

8

Step-by-step explanation:

Answer:

D, 15

Step-by-step explanation:

Answer:

see below! :)

Step-by-step explanation:

total in both accounts: add both the expressions together

(10w+120) + (45w+25) = 55w+145

divide the expression by 55 to get it in simplest form.

w + 2.63

money i had before i started my job:

plug in 0 for w (0 weeks of having my job - means i just started my job and didn't receive my paycheck :c)

10(0) + 120 = 120                 <- savings account

45(0) + 25 = 25                   <- checking account

money i save each week:

compare when you plug in 1 for w and 2 for w into the "savings account" expression.

10(1) + 120 = 130

10(2) + 120 = 140

i save $10 a week (140-130 = 10)

hope this helped!! xoxoxo

By directly adding the two given linear equations, we will see that the function that represents the total monthly earnings is:

M(x) = 68.45*x + 102.00

We know that Justus' earnings are given by:

J(x) = 38.25x + 50.00.

While Eduardo's earnings are given by:

E(x) = 30.20x + 52.00.

The earnings of both together will be given by the direct sum of the two earnings above, so we have:

M(x) = E(x) + J(x) = 38.25x + 50.00 + 30.20x + 52.00

Now we can simplify this to get:

M(x) = (38.25 + 30.20)*x + 50.00 + 52.00

M(x) = 68.45*x + 102.00

This linear equation represents the total monthly earnings of Justus and Eduardo.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491

Answer:

29.64

Step-by-step explanation:

76 x 0.39 =29.64

Have a great day!

Please rate and mark brainliest!!

Answer:

$9,4

Step-by-step explanation:

Multiply the number by 10 over 100

Hey there!

=> [tex]\fbox{94 × 10/100}[/tex]

=> [tex]\fbox{ 940/100}[/tex]

=> [tex]\fbox{9.4}[/tex]

[tex] We \:add\: 9.4\: to\: 94[/tex]

=> [tex]\fbox{94 + 9.4}[/tex]

=> [tex]\fbox{103.4}[/tex]

Therefore, total cost is 103.4

Answer:

this is not a question

Step-by-step explanation:

Answer:

= -cot5x

Step-by-step explanation:

sin7x - sin3x = sin(5x + 2x) - sin(5x - 2x)

= [sin5x cos2x + cos5x sin2x] - [sin5x cos2x - cos5x sin2x]

= 2 cos5x sin2x

cos7x - cos3x = cos(5x + 2x) - cos(5x - 2x)

= [cos5x cos2x - sin5x sin2x ] - [cos5x cos2x + sin5x sin2x]

= -2 sin5x sin2x

so

(sin7x - sin3x)/(cos7x - cos3x)

= -cos5x/sin5x = -cot5x

Answer:

- Response variable: The amount of vision the patients obtained after surgery.

- Explanatory variable: The type of detached retina surgery carried out.

Step-by-step explanation:

Response variable is the main focus of a question when carrying out a study or experiment. Whereas, an explanatory variable is the variable one that explains the changes in the response variable.

Now, in the question we are given it is clear that the main focus of the study is to determine if patients were able to regain vision.

Thus, the response variable is; the amount of vision the patients obtained after surgery.

Now, what determines if patients were able to regain vision is hinged on the 2 retina surgeries which are: laser surgery and freezing treatment.

Thus, the explanatory variable is; The type of detached retina surgery.

Answer:

n=5

Step-by-step explanation:

Solve and isolate n.

8 x n = 5 x 8

8 x n = 40      Divide out the 8

n=5

Answer:

the answer would be A.

Step-by-step explanation:

hope this helps

Answer:

It has the same sign as the correlation coefficient r

Answer:

On Wednesday they sold 5, over the four days they sold 19, and the third I believe it is 26.32 . Please rate me and mark me brainliest!

Step-by-step explanation:

See picture for math work and answer.

Answer:

i cant see it clearly to give you a propper answer

Answer:

    the price of a softball bat is 143 dollars, and the price of a baseball bat is 296 dollars.

Step-by-step explanation:

This is a problem that needs a set of equations because you are solving for two variables. The price of a baseball bat, and the price of a softball bat. To find the two equations in this sentence you take the context clues that are given to you. The first clue is that the cost of 4 baseball bats and 3 softball bats equals 389. Let's make b stand for the cost of a baseball bat, and s stand for the cost of a softball bat. The equation we can get from this piece of information is 4b +3s = 389 dollars. The second piece of information we get is that the baseball bats cost ten dollars less than twice the softball bat price. This is another equation that is b-10 = 2s.

    Now that we have both of the hidden equations, we can solve them to find the cost of baseball bats, and softball bats.

    First step is to solve one of the equations to get either one of the variables by themselves. I chose the second one, because it takes less steps. b-10 = 2s. If you add ten to both sides you get the variable b by itself in the equation: b = 2s - 10. Now we go back to the first equation, and substitute in 2s - 10 wherever there is a b. This makes equation one look like this: 4(2s - 10) +3s = 389. Now it is a solvable equation.  First you distribute the 4 to (2s - 10) you get 8s - 40 +3s = 389. Then you can add 8s and 3s together since they are the same variable. 11s - 40 = 389. Next, add the 40 to both sides to cancel it out, and you get that 3s = 429. Finally, divide both sides by 3 to get what s equals. s = 143.

    Now that we have the value of s, we can go back to the first equation and plug that value in to solve for b. This makes the first equation: b - 10 = 2(143).

Multiply the 2 and 143 first. Then, your equation looks like: b - 10 = 286. Finally, add the 10 to both sides to cancel it out and you get that b = 296.

    Putting this back into context: the price of a softball bat is 143 dollars, and the price of a baseball bat is 296 dollars.

Answer:

7/8

Step-by-step explanation:

add all the popsicles together and subtract the number of blue from the total and put that number over the total and simplify

total popsicles = 14

blue = 2

not blue = 12

12/14 × 100 = 85.71

Final answer = 85.71

Answer:

Your answer is Option B.arithmetic sequence;9

Pls mark as brainliest!

Answer:

y° = 130°

Step-by-step explanation:

The angel adjacent to y° corresponds with the given measure of degree that the brace makes with the wire.

Thus, the measure of the angle adjacent to y° = 50° (Corresponding angles are congruent)

y° and the angle adjacent to y° form a linear pair on a straight line.

Therefore:

y° + 50° = 180° (linear pair)

subtract 50 from each side

y° + 50° - 50° = 180° - 50°

y° = 130°