3. The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 70.3​% of their​ carbon-14. How old were the bones at the time they were​ discovered?

Answer:

x=66

Step-by-step explanation:

35-13=22

22*3=66

x=66

Answer:

X=66

Step-by-step explanation:

66 divided by 3 =22

13+22=35

Answer:

Circumference is a special case of perimeter. Both describe the total length of the boundary of a two dimensional figure, but circumference specifically refers to the perimeter of a curved figure or arc. Therefore it only applies to circles, ovals, ellipses, arcs, etc.

Answer:

Both words are used to talk about how long the boundary is of a 2D figure. Think of circumference as a special case of finding the perimeter. The term circumference refers to the perimeter of a figure without sides or something like a circle or arc.

So if we were to look at a rectangle and try to determine how long the boundary is we would use perimeter. On the other hand, if we have a circle we have no way to track how long each side is therefore we use circumference.

Answer:

Answer:

11x⁴+12x³-9x²-8x

Step-by-step explanation:

M.a.t.h.w.a.y

The indefinite integral will be  [tex]\int (7x^2+8x-2)dx=\dfrac{7x^3}{3}+4x^2-2x+C)[/tex]

When we integrate any function without the limits then it will be an indefinite integral.

General Formulas and Concepts:

Integration Rule [Reverse Power Rule]:                                                              

[tex]\int x^ndx=\dfrac{x^{n+1}}{n+1}}+C[/tex]

Integration Property [Multiplied Constant]:                                                        

[tex]\int cf(x)dx=c\int f(x)dx[/tex]

Integration Property [Addition/Subtraction]:                                                      

[tex]\int [f(x)\pmg(x)]dx=\int f(x)dx\pm \intg(x)dx[/tex]

[Integral] Rewrite [Integration Property - Addition/Subtraction]:

[tex]\int (7x^2+8x-2)dx=\int 7x^2dx+\int 8xdx -\int 2dx[/tex]          

[Integrals] Rewrite [Integration Property - Multiplied Constant]:  

[tex]\int (7x^2+8x-2)dx=7 \int x^2dx+ 8 \int xdx -2\int dx[/tex]            

[Integrals] Reverse Power Rule:    

[tex]\int (7x^2+8x-2)dx= 7(\dfrac{x^3}{3})+8(\dfrac{x^2}{2})-2x+C[/tex]                                                            

Simplify:    

[tex]\int (7x^2+8x-2)dx= \dfrac{7x^3}{3}+4x^2-2x+C[/tex]                                                                                                      

So the indefinite integral will be [tex]\int (7x^2+8x-2)dx= \dfrac{7x^3}{3}+4x^2-2x+C[/tex]                

To know more about indefinite integral follow

https://brainly.com/question/27419605

#SPJ4

Answer:

1.6.36 cm

2

Step-by-step explanation:

Using sine rule to find the length of the BC.

Answer:

[0,∞), {y|y≥0}

Step-by-step expl

The graph of y =|3x + 1| is attached.

By observation, we can see that the the least y-value that the graph can take is y =0 (i.e the x-axis) and the greatest y-value that the graph can take is positive infinity.

Hence the range is [0,∞), {y|y≥0}

Step-by-step explanation:

the domain is the set or interval of all valid x-values.

the range is the set of interval of all valid y-values.

the function is a line function, so it's values will continuously increase with increasing x-valies.

therefore we can simply take the 2 interval ends of the domain as the x-values that create the lowest and the highest functions value in that interval.

the function does not make any large twists and turns in that interval.

y = 3x + 1

for x = 2

y = 3×2 + 1 = 6 + 1 = 7

for x = 8

y = 3×8 + 1 = 24 + 1 = 25

so, the range is [7, 25]

Answer:

36cm² is the answer.....

The value of the probability expression p(girl, girl, girl) is 1/8

The theoretical probability is given as:

P(girl) = 1/2

The value of p(girl, girl, girl) is calculated using:

p(girl, girl, girl) = p(girl) * p(girl) * p(girl)

So, we have:

p(girl, girl, girl) = 1/2 * 1/2 * 1/2

Evaluate

p(girl, girl, girl) = 1/8

Hence, the value of the probability expression p(girl, girl, girl) is 1/8

Read more about probability at:

https://brainly.com/question/251701

#SPJ4

Answer:

1) 38.9%

Step-by-step explanation:

There are 18 total pieces of candy, 4 of which are blue, and 3 of which are yellow. So the probability of randomly selecting one blue or one yellow piece of candy is

[tex] \frac{3}{18} + \frac{4}{18} = \frac{7}{18} = 38.9\%[/tex]

Answer:

x² + 12x + y² + 4y - 25 = 0

Step-by-step explanation:

Equation of a circle

Finding r

Making the equation

The equation of the circle with center (-6, -2 containing the point (-10, -9) is x² + 12x + y² + 4y - 25 = 0

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

WE know that the Equation of a circle;

(x - h)² + (y - k)² = r²

(h, k) = coordinates of a circle

(x, y) = coordinates of a point on the circle

r = radius

Finding r;

(-10 + 6)² + (-9 + 2)² = r²

r² = 16 + 49

r = √65

Making the equation,

(x + 6)² + (y + 2)² = (√65)²

x² + 12x + 36 + y² + 4y + 4 = 65

x² + 12x + y² + 4y - 25 = 0

Learn more about the circle;

https://brainly.com/question/23890802

#SPJ2

Answer:

The longest ski pole to fit would lie diagonally. The length of the diagonal can be found by the Pythagorean theorem.

d=sqrt(1202+252)

d ~= 122.58 cm

Step-by-step explanation:

Answer:

123 cm (nearest whole number)

Step-by-step explanation:

The orientation of the ski pole to allow it to be its maximum length would be placing it from corner to opposite corner of the base of the box.

Therefore, this can be modeled as the hypotenuse of a right triangle, where the length and width of the box are the legs.

To find the hypotenuse, use Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse)

Given:

Substitute given values into the formula and solve for c:

⇒ a² + b² = c²

⇒ 25² + 120² = c²

⇒ c² = 15025

⇒ c = √(15025)

⇒ c = 123 cm (nearest whole number)

Answer: If this is a 2D box, the length would be 2

Step-by-step explanation:

Answer:

36 quarters

9 / 0.25 = 36

From the figure, the value of tan j is 13/9

The tangent of an angle is represented as: :

tan(j) = opposite leg/adjacent leg

From the figure, we have:

opposite leg = 13

adjacent leg = 9

Substitute these values in the above equation of tangent

tan(j) = 13/9

Hence, the value of tan j is 13/9

Read more about tangent function at:

https://brainly.com/question/8120556

#SPJ1

Answer:

7.8

Step-by-step explanation:

since the shape is a right angled triangle,

we use Pythagoras theorem to find

X= ✓6^2+5^2 = √36+25=. √61 =7.8

Answer:

Step-by-step explanation:

Answer:

5.4 meters per square second

Step-by-step explanation:

If that rover was on the Earth the weight of it would be 620 N (62*10)

In the new planet the gravitational acceleration is not same as the earth it's definitely less than that of the earth

Let's take the gravity constant of the plant as x.

so, 62*x= 334.8 N

x= 334.8/62

x= 5.4

Answer:

Kia makes 19.25 dollars an hour.

Step-by-step explanation:

6x4+8=32 (hours: 6 hours for 4 days, and 8 hours for 1 day)

616 divided by 32 = 19.25

Answer:

We can see that our y-value of our coordinates do not change so we can just subtract the first x-value from the second x-value.

[tex]x_2 - x_1[/tex]

[tex]4 - (-4)[/tex]

[tex]8[/tex]

The option that best matches our answer is Option B, [tex]8[/tex]

Hope this helps!  Let me know if you have any questions

Answer:

14 packages

Step-by-step explanation:

profit = revenue - expenses

we want profit to be 0

0 = revenue - expenses

revenue = 5.60 per package = 5.60 * number of packages

expenses = 56 + 1.60 per package = 56 + 1.6 * number of packages

0 = revenue - expenses

let's say the number of packages = n

0 = 5.6 * n - (56 + 1.6 * n)

= 5.6n - 56 - 1.6n

= -56 + 4n

add 56 to both sides to isolate the variable and its coefficient

56 = 4n

divide both sides by 4 to isolate the variable

n = 14

Answer:

A and D are correct.

Answer:

Step-by-step

the total number of balls in the in the bag is 10

Then

the probability of drawing a red ball on the first draw is 4/10.

…………………………………………………………

Now , if the first ball drawn is not replaced.

Then

the probability of drawing a red ball on the Second draw is 3/9.

……………………………………………

Conclusion:

the probability that two balls drawn at random from the bag will be red if the first ball drawn is not replaced is :

(4÷10)×(3÷9)

= (2÷5)×(1÷3)

= 2÷15

= 0.133333333333

Answer:

I used Desmos to graph your requirements, and i took a screenshot of the graph. Credit to Desmos for the great graphing system.

Step-by-step explanation:

Answer:

see image

Step-by-step explanation:

Anytime you see f(x) that just means y.

So f(x)=5 just means

y = 5

Anytime you have an equation to graph that is in the format

"y= anumber", that is a Horizontal line. So the first piece of your graph is the horizontal line thru 5. But also that's only for x>=3. It includes the 3 with the "or=to" underline. So the point must be a solid filled-in point. (Some weird books or teachers use a [ square bracket.) Same logic works for the second piece of the function. f(x) = -6 is the same as y= -6 and is a horizontal line thru -6. But the point at (3, -6) is an Open dot! See image.

Answer:

Probably candycorn, to be honest nobody really even like's candycorn so that's why it's kinda sad.

Answer:

her rate in chapters per hour is:

6 chapters per hour