Carbon-14 has a half-life of approximately 5,730 years. This exponential decay can be modeled with the function N(t) = N0.

If an organism had 200 atoms of carbon-14 at death, how many atoms will be present after 14,325 years? Round the answer to the nearest hundredth.

Answer:

Step-by-step explanation:

We already know that both triangles have a congruent side length.

We also know angle KVM or UVW are the same

We only have to know if VM and WV are the same.

This way, each triangle will have two congruent side lengths and a angle. The third side will therefore be the same.

By the same logic, if we know that KM and UW are the same, the two triangles are also congruent.

To determine if two triangles are congruent using the SAS (Side-Angle-Side) criterion, we need additional information about the length of one side, the measure of one angle, and the length of another side in both triangles.

This information is crucial in order to establish the congruence between the triangles. For example, let's consider two triangles, triangle ABC and triangle DEF. To prove that these triangles are congruent using the SAS criterion, we need to know: 1. The length of side AB in triangle ABC and the length of side DE in triangle DEF. 2. The measure of angle A in triangle ABC and the measure of angle D in triangle DEF. 3. The length of side BC in triangle ABC and the length of side EF in triangle DEF. By knowing these measurements, we can compare the corresponding sides and angles of the two triangles. If the lengths of the corresponding sides are equal and the measures of the corresponding angles are equal, then we can conclude that the two triangles are congruent by the SAS criterion.

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Answer:

1.4166

Step-by-step explanation:

204/144

Hope this helps!!

Answer:

144 can go into 204 once cause if it goes twice it gonna be 288

Answer:

so add the ones that are given and then subtract from 360 because they must total to 360. so 360-80-68-84-56-40=32 so A

Answer:

The answer is 110.

Step-by-step explanation:

Area = 1/2 ( 9 + 13) 10

1/2 ( 22 ) 10 = 110

answer: C

you can use "bedmas". In the an equation you're doing, one of the first steps would to be to deal with exponents since there's no brackets and C is the only one with the exponents done.

Answer: Choice B

Explanation:

The dependent variable is the total cost which depends on how many texts you send, or how much data you use.

Answer: 2

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

Answer:

  x = 3 ±√5

Step-by-step explanation:

We can take the square root of both sides of the equation:

  (x -3)^2 = 5 . . . . . . . . given

  x -3 = ±√5 . . . . . . . . square root

  x = 3 ±√5 . . . . . . . . add 3

_____

Additional comment

It is a good idea to remember this process. It is the final step in solving a quadratic by "completing the square."

Answer:

she earned $20 in tips

Step-by-step explanation:

- figure out how much she'll get payed in 12 hours of work, :

12 x $11.25 = $135 for 12 hours work, then find out 2/5 of $11.25 to find out how much she would get for the 2/5 of an hour she worked:

2/5 of $11.25 = $4.50, after all of that, add up both of these sums together to get her total pay for hours worked:

$135 + $4.50 = $139.50

now you need to subtract that sum from her total pay to find out how much money she earned in tips:

$159.50 - $139.50 = $20, so basically thats how i got 20.

Answer:

$6,720

Step-by-step explanation:

20% of 5600 is 1120.

1120+5600= 6,720

Answer:

$8,580,000 (rounded) = $9,000,000

Step-by-step explanation:

Keep in mind, 2007 is four years after 2003.

So, 8(%) • 4 = 32(%)

Over the course of 4 years, the companies profits increased by a total of 32 percent.

(*Write 6.5m in standard form)

6,500,000 + 32% = $8,580,000

8,580,000 (rounded up) = 9,000,000

Answer:

A. x² - 2x - 8

Step-by-step explanation:

At x = -2, 4 graph cut x- axis. So, they are zeroes of f(x).

So, f(x) = k(x+2)(x-4), where k is a constant.

Now, (3, -5) in f(x), we get

-5 = k (3+2)( 3 -4)

-5 = -5k

k= 1

So, f(x) =  (x+2)(x-4)

= x² - 2x - 8

So, option A is right.

Answer:

8:9

Step-by-step explanation:

enter

9

-----

8

Answer:

X= 48°

Step-by-step explanation:

please mark me brainiest

++++++++++++++

Answer:

4

Step-by-step explanation:

If you do .50 x 8 from each ticket being drawn and the probability you get 4

The ordered pair of the parking lot is the coordinates of the lot in the coordinate plane

Parking lot B is located in the ordered pair (-3,4)

From the figure, we have the following highlights

Parking lot B is located at x = -3 on the horizontal axis, and it is located at y = 4 on the vertical axis.

So, we have:

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

Hence, parking lot B is located in the ordered pair (-3,4)

Read more about ordered pairs at:

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Answer:

see step-by-step

Step-by-step explanation:

can't see the graphs (too blurry)

but [tex]f(\frac{1}{4}x)=\frac{1}{4}x+1[/tex]

Therefore, the y-intercept = (0, 1)

and the x-intercept = (-4, 0)

It's either graph 1 or 4, but you'll have to check the axis intercepts.

Answer:

[tex]S = 276\ in^2[/tex]

Step-by-step explanation:

Step 1:  Determine important information

Using the given numbers it doesn't really matter which is which because the equation multiplies everything together.

Surface Area of a Rectangular Prism → [tex]S= 2(wl+hl+hw)[/tex]

Step 2:  Plug in the values and solve

[tex]S = 2((10\ in * 4\ in) + (7\ in * 4\ in) + (7\ in * 10\ in))[/tex]

[tex]S=2(40\ in^2 + 28\ in^2 + 70\ in^2)[/tex]

[tex]S = 2(138\ in^2)[/tex]

[tex]S = 276\ in^2[/tex]

Answer: [tex]S = 276\ in^2[/tex]

Answer:

y=6x-4

(dark blue)

Step-by-step explanation:

x=0 y=-4

y=6x-4

y=6(0)-4

y=-4

Using proportions, it is found that:

A proportion is a fraction of a total amount.

In the sample, the most voted options were checking out books or studying, hence:

The most popular choice likely be either checking out books or studying.

Out of the 60 students, 10 = 1/6 are doing research, hence out of 540:

[tex]\frac{1}{6} \times 540 = 90[/tex]

Based on the sample, about 90 students will vote for doing research.

21 out of 60 students voted for checking out books, hence:

21/60 = 0.35 = 35%.

Based on the sample, about 35% of students will for checking out books.

More can be learned about proportions at https://brainly.com/question/24372153

Answer: Look at the attachment

Checking out books or studying

90

35%

Step-by-step explanation:

Answer:

-47/48

Step-by-step explanation:

Answer:

length = 50 cm

Step-by-step explanation:

let width be w then length = w + 10

area = w(w + 10) = 2000 , that is

w² + 10w = 2000 ( subtract 2000 from both sides )

w² + 10w - 2000 = 0 ← in standard form

Consider the factors of the constant term (- 2000 ) which sum to give the coefficient of the w- term ( + 10)

the factors are + 50 and - 40 , since

50 × - 40 = - 2000 and sum = 50 - 40 = + 10

(w + 50)(w - 40) = 0 ← in factored form

equate each factor to zero and solve for w

w + 50 = 0 ⇒ w = - 50

w - 40 = 0 ⇒ w = 40

Since w > 0 then w = 40 and

length = w + 10 = 40 + 10 = 50 cm

Answer

₹1344

Step-by-step explanation:

Principle(P) =₹1,200

Rate of Interest(R)=4pc.pa

Time(T)=3years

Simple interest=?

S.I.=P×R×T/100

=1,200×4×3/100

S.I.=₹144

amount=interest+principle

=144+1200

=1344rupees

Answer:

$1349.84

Step-by-step explanation:

→ Find the multiplier

( 100 + 4 ) ÷ 100 = 1.04

→ Multiply this by amount raised to the power of 3

1200 × 1.04³ = 1349.84

Answer:

13 teams and 3 people left over

Step-by-step explanation:

55/4 would be 13 with a remainder of 3. That 3 would be the number of people left over. And 13 would be the number of groups of four available.

Answer:

A die has 6 numbers.

So 6 numbers them being
1, 2, 3, 4, 5, 6

There’s only one number greater then 5 which is 6.
Since its 6 numbers, a die has a 1/6 chance of getting your desired number.

So it’s a 1/6 chance.