An archeologist finds an artifact that contains 44% of the carbon-14 that it would have had originally. What is the estimated age of the artifact? (The half-life of carbon-14 is 5,730 years.)

Answer:

Step-by-step explanation:

1. Express each quadratic function f in the form f (x) -yo = p (x - xo) x ϵ R, where xo, i, p ϵ R are appropriately chosen. Indicate the coordinates

of the vertex of the parabola, the minimum or maximum of the function f, especially R. Draw the graph of f.

a) f (x) = 2x2 + 3x -5, ϵ R,

b) f (x) = -3x2 + 7x +9, ϵ R,

c) f (x) = - x +1, ϵ R,

HELP YOU GIVE YOU CORONA PLIS

Answer:

1. y ≥ 100

2. y ≤ 300

3. y ≥ 20000

4. 2y ≥ 80

5. 2y ≤ 90

Step-by-step explanation:

Let y be the variable.

1. The discount is not less than 100.

If the discount (i.e y) is not less than 100, it means it is either 100 or greater than 100.

This can be written as:

y ≥ 100

2. The cost of the book is at most 300.

This implies that the cost of the book (i.e y) is either 300 or lesser.

This can be written as:

y ≤ 300

3. His monthly income is at least 20000. This simply means that his monthly income (i.e y) is 20000 or greater than 20000.

This can be written as:

y ≥ 20000

4. Twice the number is at least 80.

Let the number be y.

Twice the number y can be written as:

2y

But twice the number is at least 80.

This means that twice the number is 80 or greater than 80. This can be written as:

2y ≥ 80

5. Twice the measure of the acute angle is not more than 90 degree.

Let the angle be y.

Twice the angle can be written as:

2y

But twice the measure of the angle is not more than 90 degree. This implies that twice the angle is 90 or lesser than 90. This can be written as:

2y ≤ 90

Answer:

C. (x, x2 − 3x − 28) for all real numbers

Function graphs are graphs of solution equations for y! In this instance, f(x) = x² -3x -28 is the graph.

⇒f(x) = x² − 3x − 28

Solving equation:

⇒f(x) = x² − 3x − 28

⇒f(x) = x² − (7−4)x − 28

⇒f(x) = x² − 7x+4x − 28

⇒f(x) = x(x −7) +4(x −7)

⇒f(x) = (x −7) (x+4)

Please find the attached file.

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Answer:

x = 7

angle (7x + 8) = 57 degrees

Step-by-step explanation:

all triangles interior angles add up to 180 degrees.

(7x+8) + 90 + 33 = 180

7x+8 = 57

7x = 49

x = 7

(7x + 8) = 57

Answer:

57 degrees

Step-by-step explanation:

7x+8+33=90

7x=90-8-33

=90-41

7x=49

x=7

Answer:

(D)

Step-by-step explanation:

I dont know tis for sure and so i hope im right :)

Answer: multiply

Step-by-step explanation:

Answer:

1.2775928e+15

Step-by-step explanation:

mhmm

Answer:

y=10

x=10

Step-by-step explanation:

THis is isosceles triangle

180-90-45=45

used pyagorous therum thingy

10over2= square root of 200

so c2=asquare X b squared in this case x=y

so 200/2 = 100

x=100square

y=100 square

simplify = 10

Answer:

14d + 12c -4

Step-by-step explanation:

Answer:

1:6

Step-by-step explanation:

5:30 simplified is 1:6

Answer:

5:30 Simplified: 1:6

Step-by-step explanation:

Hope this helps, and don't forget to follow!

Answer:

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

Answer:

15/7

Step-by-step explanation:

Answer:

15/7

Step-by-step explanation:

(-5/7)/(-1/3)=(-5/7)(-3/1)=15/7

Answer:

its 2 and 12

just basic math lol

Answer:

2 and 12

Step-by-step explanation:

2x12=24

2+12=14

Answer:

x = 6

Step-by-step explanation:

(x + 2) + (2x + 3) = 23

Combine like terms

3x +5 = 23

Subtract 5 from each side

3x+5-5 = 23-5

3x = 18

Divide each side by 3

3x/3 = 18/3

x = 6

Answer:

x = 6

Step-by-step explanation:

1. Remove parentheses where unneeded. x + 2 + 2x + 3 = 23

2. Add constants. x + 5 + 2x = 23

3. Combine like terms. 3x + 5 = 23

4. Subtract "5" from the constants on both sides of the equation. 3x = 18

5. Divide both sides by 3. 3x/3 = 18/3

6. Simplify. x = 6

Answer:

24

Step-by-step explanation:

1/2bh

9514 1404 393

Answer:

  x = 21

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so the two marked segments are the same length.

  17x + 50 = 19x + 8

  42 = 2x . . . . . . . . . . subtract 8+17x

  21 = x . . . . . . . . . . .  divide by 2

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B. 100°

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Answer:

y = -2x +20

6x - 5y = 12

Put the value of y in 2nd equation

6x - 5( -2x +20 ) = 12

6x +10x -40 = 12

16x = 12 +40

16x = 52

x = 13/4

Putting the value of x in equation 1

y = -2x +20

y = -2(13/4 ) +20

y = 27/2

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Based on the information given will be the value of the piano after 16 years is : C. $140.74.

Using this formula

Time=Principal(1-rate)^n

Where:

Principal=$5,000

Rate=20%

Number of year=16 years

Let plug in the formula

Time=5,000(1-0.20)^16

Time=5,000(.80)^16

Time=$140.737

Time= $140.74 (Approximately)

Inconclusion  the value of the piano after 16 years is : C. $140.74.

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Answer:

Step-by-step explanation:

Slope = rise/ run, or y∨2 - y∨1/ x∨2 - x∨1

5-10/ 1-2 =

-5/-1 = 5

The slope of the line drawn from the given data is 5.

A line's steepness can be determined by looking at its slope. The slope is calculated mathematically as "rise over run" (change in y divided by change in x).

Given this, Latrell fills his bottle with one ounce of water in five seconds. The amount of water Latrell puts in his water bottle (in ounces), x, and the time (in seconds) it takes to get that amount, y, are proportionate. This connection can be graphed. Since, the line will pass from the origin(0, 0).

Since given y is the directly proportional equation of the line will be;

y = mx

where m is the slope of the line

Also given, filling the bottle at every ounce requires 5 seconds of time. hence, the line will go from (1, 5)

Thus, the value of the m will be;

5 = m *1

m =5

Therefore, the slope of the line is 5.

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Answer:

504

step by step : 14x18=252. 20x18=360. 18x18=324. 58x18=1044. 71x18= 1278. 36x18=648. 28x18=504.

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

504

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

Explanation:

For each row, divide the earnings over the sales.

All of these decimal values have the following conversions to percentages

If we add up those percentages and divide by 4, we get the average percentage

(3.27+2.85+3.08+2.90)/4 = 3.025

So the average percentage of these four is 3.025%

So for instance, if you made $1000 in sales, then 0.0325*1000 = 32.50 would be the estimated earnings.

A good estimate in my opinion is the equation c = 0.0325d since 3.025% converts to the decimal form 0.0325

Another method you could use is linear regression to help estimate. Though this method is a lot more complicated involving many more steps. It's better to use technology (eg: graphing calculator) if you go this route. The linear regression line is approximately y = 0.02896x + 2.00732; we can see the slope 0.02896 isn't too far off from 0.0325. Other forms of regression are possible as well.

Answer:

2500 tiles

Step-by-step explanation:

convert the path to the same units, one m = 100 cm

path= 500 cm x 300 cm

path area = 150,000 cm^2

each tile = 10x6 = 60 cm^2

150,000/60 = 2500 tiles

Answer:

Suppose that we have a circle of radius R.

The total perimeter of this circle will be:

P = 2*pi*R

Where pi = 3.14159...

Now, if we have a section of this circle with an angle A, the "chord" of this section will be:

C = (A/360°)*2*pi*R.

Where you can see that if A = 360° (so the section is the whole circle) the chord is equal to the perimeter.

In this particular case, the chord is equal to the radius of the circle, then we get:

C = R =  (A/360°)*2*pi*R

We need to solve this for A.

R =  (A/360°)*2*pi*R

We can divide both sides by R to get:

1 =   (A/360°)*2*pi

Now we need to isolate A.

(360°/2*pi) = A = 57.3°

This would be the angle in the minor arc.

And the angle for the mayor arc would be the difference between the angle for a whole circle (360°) and the angle of this section (57.3°)

The angle for the major arc is:

A = 360° - 57.3° = 302.7°

Answer:

3/4

Step-by-step explanation:

4(3n-7)=-19

3n-7=-19/4

3n=-19/4+7

3n=-19/4+28/4

3n=9/4

n=(9/4)/3

n=(9/4)(1/3)

n=9/12

simplify

n=3/4

Answer:

3/4

You would have to divide both sides by 4

Step-by-step explanation:

[tex]\frac{4(3n-7)}{4} =\frac{-19}{4}[/tex] ( divide both sides by 4 )

[tex]3n-7= -\frac{19}{4}[/tex]  ( simplify )

[tex]3n-7+7=-\frac{19}{4} +7[/tex] ( add 7 to both sides )

[tex]3n=\frac{9}{4}[/tex]  ( simplify )

[tex]\frac{3n}{3} =\frac{\frac{9}{4} }{3}[/tex]  ( divide both sides by 3 )

[tex]n=\frac{3}{4}[/tex]