A piece of charcoal was unearthed at an archeological site and found to contain 10% of its original carbon-14. The half-life of carbon-14 is 5,730 years. Which equation can be solved to determine the age of the charcoal?

0.10Ao = Aoe0.000121t
Ao = 0.10Aoe0.000121
0.10Ao = Aoe –0.000121t
Ao = 0.10Aoe –0.000121t

Answer:

(0,-1)

Step-by-step explanation:

Answer:

q = 12/13

Step-by-step explanation:

Step 1: Write equation

1 - (13q - 5) = -6

Step 2: Solve for q

Distribute -1: 1 - 13q + 5 = -6

Combine like terms: 6 - 13q = -6

Subtract 6 on both sides: -13q = -12

Divide both sides by -13: q = 12/13

Answer:

- 2 - 5i

Step-by-step explanation:

Given

(4 + 2i) + (- 6 - 7i) ← remove the parenthesis

= 4 + 2i - 6 - 7i ← collect like terms

= - 2 - 5i

Answer:

A = 21 degrees

Step-by-step explanation:

Here in this question, we are told to calculate the value of angle A.

When two angles are tagged complementary, what this means is that the addition of both angles gives a total of 90 degrees.

Hence;

A + B = 90

This means that;

(x-21) + (2x -15) = 90

x + 2x -21-15 = 90

3x -36 = 90

3x = 90+ 36

3x = 126

x = 126/3

x = 42

But we are told to calculate the measure of A

A = x -21

A = 42-21

A = 21 degrees

Answer:

21

Step-by-step explanation:

Answer:

[tex]y=4-3x[/tex]

Step-by-step explanation:

[tex]3x+y=4[/tex]

Subtract 3x from both sides:

[tex]3x+y-3x=4-3x[/tex]

[tex]y=4-3x[/tex]

Answer:

its answer is

y=4-3x ok

Answer:

Area=128

Step-by-step explanation:

p=8[tex]\sqrt{2}[/tex]

A=p^2

put value of p

A= (8[tex]\sqrt{2}[/tex])power2

A= (8^2* [tex]\sqrt{2}[/tex]^2)

A=64 * 2             (square root of 2 will be cancel by power 2)

A= 128  

Answer:

[tex](\frac{17}{18}, \frac{23}{6})[/tex]

Step-by-step explanation:

D1 = [tex]\sqrt{(x+3)^2 + (y-4)^2}[/tex]

D2 = [tex]\sqrt{x^2 + y^2}[/tex]

Then set D1 = D2, and substitute in y = 3x+1

[tex]\sqrt{(x+3)^2 + (3x-3)^2}[/tex] = [tex]\sqrt{x^2 + (3x+1)^2}[/tex]

[tex]x^2 +6x +9 +9x^2 - 18x + 9 = x^2 + 9x^2 + 6x + 1[/tex]

[tex]18x = 17[/tex]

x = 17/18

Then to find y, substitute back in x for y = 3x + 1

[tex]y = \frac{17}{18} * 3 + 1[/tex]

y = 23/6

The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].

Here,

The equation of straight line is y = 3x + 1

And, it is equidistant from the origin and (-3, 4)

We have to find the coordinates of the point on the straight line.

What is the distance between the two points?

The length of the line segment that connects the two given points, is called distance between two points.

Now,

Let the point (x, y) on the line y = 3x + 1.

Distance between the points (x, y) and (0, 0) is;

[tex]D = \sqrt{(x-0)^2+(y-0)^2}[/tex]

[tex]D = \sqrt{x^{2} +y^{2} }[/tex]

And, Distance between the points (x, y) and (-3, 4) is;

[tex]D = \sqrt{(x+3)^2+(y-4)^2}[/tex]

[tex]D = \sqrt{x^{2} +6x+9+9x^{2} -18x+9}[/tex]

Equating both distance we get;

[tex]\sqrt{x^{2} +6x+9+9x^{2} -18x+9} = \sqrt{x^{2} +y^{2} }\\\\ {x^{2} +6x+9+9x^{2} -18x+9} = x^{2} + y^{2} \\\\18x = 17\\\\x = \frac{17}{18}[/tex]

And, To find y put the value of x in y = 3x + 1, we get;

[tex]y = 3 * \frac{17}{18} + 1\\\\y = \frac{23}{6}[/tex]

Hence, The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].

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Answer:

B: 200

Step-by-step explanation:

The sqr of 200 is equal to 14.14. when plugged into the perimeters 13.8<x<14.5 , 14.14 satisfies the condition

The square root has a value between 13.8 and 14.5 is 200.

Option (B) is correct.

A factor of a number that, when multiplied by itself, gives the original number. The square root of any number can be expressed using the formula: √y = y½.

Given:

The square root has a value between 13.8 and 14.5.

We have to find the square root has a value between 13.8 and 14.5.

According to given question we have

[tex]13.8 ^{2} =190.44\\\\14.5^{2} =210.25\\[/tex]

So, the square root has a value between 13.8 and 14.5 is 200.

when plugged into the perimeters 13.8<x<14.5.

Therefore, the square root has a value between 13.8 and 14.5 is 200.

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Answer:

$168

Step-by-step explanation:

1. x - 1/4x = 126

2. multiply each side by 4

3. 4x - x = 504

4. 3x = 504

5. divide each side by 3

6. x = 168

Answer:

f(-7) = -3

Step-by-step explanation:

f(x) = ( x-2)/3

Let x = -7

f(x) = ( -7-2)/3

    = (-9)/3

    = -3

Answer:

Step-by-step explanation:

[tex]\frac{2}{x}+\frac{3}{2x}-\frac{1}{2}=\frac{2}{3}\\multiply ~by~6x\\12+9-3x=4x\\21=4x+3x\\7x=21\\x=21/7=3[/tex]

Answer:

1,296

Step-by-step explanation:

36 pages x 6 cards a page = 216 cards per binder

216 cards x 6 binders = 1296

The number of baseball cards Sam collected will be 1,296.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that sam collects baseball cards he has 6 binders full of cards each page in the binder holds six cards and each binder has 36 pages.

The number of cards will be calculated as:-

36 pages x 6 cards a page = 216 cards per binder

216 cards x 6 binders = 1296

Hence, the number of cards will be 1,296.

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Answer:

See Below

Step-by-step explanation:

Isolate x, so add 5 to each side

-2.49 =  -5 + x

+5.00    +5

3.49 = x

Answer:

x= 251/100

=2.51

How: -2.49=-5+x

              +5 =+5

          2.51=x

Answer:

3a^2b - 2ab^2 + 8ab

Step-by-step explanation:

just add the like terms

a^b + 2a^2b - ab^2 -ab^2 + 8ab

3a^2b - 2ab^2 + 8ab

The ​addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be 3a²b - 2ab² + 8ab.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expressions are given below.

a²b - ab² + 8ab and 2a²b - ab²

The ​addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be given as,

⇒ a²b - ab² + 8ab + 2a²b - ab²

⇒ 3a²b - 2ab² + 8ab

The ​addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be 3a²b - 2ab² + 8ab.

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Answer:

No.

Step-by-step explanation:

A composite number has factors in addition to one and itself. The numbers 0 and 1 are neither prime nor composite. All even numbers are divisible by two and so all even numbers greater than two are composite numbers. All numbers that end in five are divisible by five. Therefore all numbers that end with five and are greater than five are composite numbers.

Answer:

If the minimum is 10 and it costs $45 for that you would be going into the negatives as $25 is less then $45 meaning : You do not have enough money to purchase something that is $45. You would need $20 more dollars. If there was no minimum you would only be able to buy 4 with a few dollars left over.

Answer: 33/100

Step-by-step explanation:

.33 is in the hundreths place, so the denominater would be 100. So, it would 33/100. You can't simplify it.

Answer: x =168

Step-by-step explanation:I think it would be 80 plus 88 so its 168.  

Answer:

y = 2x-3

Step-by-step explanation:

We can use those 2 points given to solve for the slope (m) and for the y-intercept (b) in the equation y = mx+b

Slope:

(3,3) and (4,5)

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

m = [tex]\frac{5-3}{4-3}[/tex]

m = 2

Y-intercept:

y = 2x+b

3 = 2(3) +b

3 = 6+b

b = -3

equation: y = 2x-3

Step-by-step explanation:

Hey there!!!

When you closely see in figure, we find that,

90° and (2y + 5)° are supplementary,

So, 90° + 2y +5°=180° { supplementary angle is always 180°}.

or, 2y = 180°-95°

[tex]y = \frac{85}{2} [/tex]

Therefore the measure of angle y is 42.5°.

Again, (5x-17)° + (3x - 11)° = 180° (They are linear pair).

8x - 28° = 180°

8x = 180°+28°

[tex]x = \frac{280}{8} [/tex]

Therefore the measure of angle x is 26°.

Hope it helps...

Answer:

0.54

Step-by-step explanation:

6 divided by 11 is 0.54-non-terminating therefore we get 0.54

Answer:

0.5455

Step-by-step explanation:

Plz choose mine as brainliest

Answer:D

Step-by-step explanation:

Answer:16 a 8 9 c 9

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

answer: x=3

you divide both side by 2

The parent equation would be y=x^2 because that is the parent equation of a quadratic function. ;)

Answer:

the answer to that would be 0.

Step-by-step explanation: