Plutonium -25 has a half live of 6 hours . George has 5000 grams of plutonium -25 . How much plutonium-25 will hearse have after 4 days

Answers

Answer 1

The amount (a) after d days will be
.. a(d) = 5000*(1/2)^(4d)

.. a(4) = 5000*(1/2)^(4*4) = 5000/2^16 ≈ 0.076 . . . grams

George will have about 0.076 grams after 4 days.

Related Questions

If there are 15 girls and 9 boys in an art class, the ____________ of girls to boys in the class is 5:3.

Answers

the ratio of girls to boys in the class is 5:3

Use the data to create a scatter plot.
Size (lb)
8
12
9.5
5
7
7.5

Time (h)
5
6.5
4
3.5
2
5

Answers

For this case, what you should do is plot each ordered pair as a scatter diagram.
The ordered pairs are:
(5, 8)
(6.5, 12)
(4, 9.5)
(3.5, 5)
(2, 7)
(5, 7.5)
Answer:
See attached image.
There seems to be an increase in weight as time passes.

A function that can be written in the form f(x)=ax2+bx+c, where a, b & c are real numbers and a is not equal to zero.

Answers

Hello there!

I'm not exactly sure of what answer you are looking for, however,
f(x)=ax^2+bx+c represents a quadratic function.

Quadratic functions always have their highest exponent at 2, nothing more and nothing less.

Examples of quadratic functions are...
•x^2
•3x^2
•3x^2+2
•3x^2+2x
•3x^2+2x+1

I really hope this helps!
Best wishes:)

This form would be considered as the standard form of a quadratic function.

A quadratic function seems to be a second-order polynomial function. Another quadratic function has the following general form:

[tex]f (x) = ax^2 + bx + c[/tex]

here,

a, b, and c = real numbers

and,

a ≠ 0

The quadratic formula is obtained by completing the square on some kind of quadratic equation instead in the standard format. Because the largest power equals two, it is indeed a 2nd-degree polynomial equation.

As a result, the aforementioned response is correct.

Learn more about quadratic equation here:

https://brainly.com/question/19942005

when does a rhombus have 4 congruent angles?

Answers

It sometimes. A rhombus could have 2 pairs of opposite congruent angles. That means that the 2 adjacent angles are also supplementary. Two angles could be 50 degree and other two angles could be 130.

If the measurement of a central angle is 77 degrees find the length of its intercepted arc in a circle with a radius of 15 inches.

Answers

The answer is C. 20.2 inches

Answer:

20.2 inches ;)

Step-by-step explanation:

which is the directrix of parabola with equation x^2=4y

Answers

Answer:

[tex]y=-1[/tex]

Step-by-step explanation:

We have been given an equation of parabola [tex]x^2=4y[/tex]. We are asked to find the directrix of our given parabola.

First of all, we will divide both sides of our given equation by 4.

[tex]\frac{x^2}{4}=\frac{4y}{4}[/tex]

[tex]\frac{x^2}{4}=y[/tex]

[tex]y=\frac{x^2}{4}[/tex]

Now, we will compare our equation with vertex form of parabola:

[tex]y=a(x-h)^2+k[/tex], where, (h,k) represents vertex of parabola.

We can see that the value of a is [tex]\frac{1}{4}[/tex], [tex]h=0[/tex] and [tex]k=0[/tex].

Now, we will find distance of focus from vertex of parabola using formula [tex]p=\frac{1}{4a}[/tex].

Substituting the value of a in above formula, we will get:

[tex]p=\frac{1}{4*\frac{1}{4}}[/tex]

[tex]p=\frac{1}{1}=1[/tex]

We know that directrix of parabola is [tex]y=k-p[/tex].

Substituting the value of k and p in above formula, we will get:

[tex]y=0-1[/tex]

[tex]y=-1[/tex]

Therefore, the directrix of our given parabola is [tex]y=-1[/tex].

two positive integers have a sum of 17 and a product of 66

Answers

Hey there :)

Sum | Product
33 and 2 35 66 X
22 and 3 25 66 X
11 and 6 17 66 ←

11 and 6 have a sum of 17 and a product of 66

Which of the symbols correctly relates the two numbers below? Check all that apply.

55 ? 35

A.
B.
C. <
D.
E. =
F. >
The other symbols dont want to show so if its another on plz tell me or add me on fb if you guys wanna help me i need to finish this,

Answers

>
55>35

The correct answer is > because 55 is larger than 35 and that is the sign for larger than

Factor completely. x^2−3x−40

Answers

This expression is a generic quadratic expression, so the first thing we need to look at is the last term (-40). Is it negative or positive? What are the factors of it? If the last term is negative, we know that one binomial is a subtraction while the other binomial is an addition. You may be asking, "an addition or subtraction of WHAT?" A binomial factored out of a quadratic expression would look something like this: (x + ____). The blank would equal a factor of the last term. In this case, a pair of factors that would fit is 8 and 5.
8x5 = 40 and -8 + 5 = -3.

Plug it into the binomial example I provided above and....
(x - 8)(x+5)=40

Voila! You have your factored quadratic expression, hope this helps!

To factor the quadratic expression x² -3x -40, we find that the expression factors into (x - 8)(x + 5).

The question involves factoring the quadratic expression x² -3x -40 completely. To factor this expression, we look for two numbers that multiply to -40 and add to -3. The numbers that meet these conditions are -8 and 5, since

(-8) * 5 = -40 and

(-8) + 5 = -3.

Therefore, the expression can be factored into (x - 8)(x + 5).

1. Suppose that the amount of algae in a pond doubles every 4 hours. If the pond initially contains 90 pounds of algae, how much algae will be in the pond after 12 hours? (1 point)

would it be 720lbs

Answers

yes it would. did you happen to get the rest of the answers for this?

Solve this easy question and get points!!!

There are two trains. Both trains are going to the same place, taking the same stops, and are going the exact same speed. But one train arrives in
80 Mins and the other train arrives in 1 Hour and 20 Mins. How is this possible?

Answers

They arrive at the same time, for:

1 hour = 60 minutes

60 + 20 = 80 minutes

80 minutes = 80 minutes

Therefore, your answer is "yes it is possible"

hope this helps

In a tessellation, what must the sum of the angles be where the vertices meet?
90° 180° 360° 60°

Answers

the interior angles must add up to 360°

C (360 degrees) is your answer

A line includes the points (2, 10) and (1, 4). what is its equation in slope-intercept form?

Answers

Hi!

This problem has two parts. First you need to find the slope, so let's do that. The equation for the slope is m = y2-y1/x2-x1

We can now plug the two given points into the equation.
m = 10-4/2-1
m = 6/1
m = 6

Now that we know the slope, and one point we can put this in slope intercept form. Slope intercept form is y=mx + b

So now we can plug in one point and the slope to find b

10 = 6(2) + b
10 = 12 + b
-2 = b

Now that we know both m and b, we can plug only those two into the equation y=mx + b, and we have the equation.

The equation is y = 6x - 2

a/an ______ angle measures less than 90degrees°, a/an ______ angle measures 90degrees°, a/an ______ angle measures more than 90degrees° and less than 180degrees°, and a/an ______ angle measures 180degrees°.

Answers

Acute
Right
Obtuse
Straight

What is the perimeter of the triangle expressed as a polynomial? 8x-2 5x-4 9x-3

Answers

Add up the three expressions to get the perimeter. The perimeter is simply the sum of all sides.

(8x-2)+(5x-4)+(9x-3)
8x-2+5x-4+9x-3
(8x+5x+9x)+(-2-4-3)
22x-9

Answer: 22x-9

The shorter leg of a right triangle is 1414 feet less than the other leg. find the length of the two legs if the hypotenuse is 3434 feet.

Answers

let the width be x ft
the length will be (x+14) ft
hypotenuse is 34 ft
given that our triangle is right triangle, using Pythagorean theorem?
c^2=a^2+b^2
substituting our values in the formula we get:
34^2=x^2+(x+14)^2
1,156=x^2+x^2+28x+196
simplifying this we get
0=2x^2+28x-960
solving the quadratic equation we get:
x=16 or x=-30
therefore the width is 16 ft and the length is 16+14=30

which of the following are polynomial functions?check all that apply
(answers in picture)

Answers

A, C, and E are all polynomial functions.

Polynomial functions must have terms that have non-negative integer exponents. We can rewrite function B, [tex]F(x)=-x^3+5x^2+7\sqrt{x}-1[/tex] as:

[tex]F(x)=-x^3+5x^2+7x^1^/^2-1[/tex]

The exponent 1/2 is not an integer exponent.

We can also rewrite the function D, [tex]F(x)=\frac{3}{5}x^4-18x^2+5-\frac{10}{x^2}[/tex], as:

[tex]F(x)=\frac{3}{5}x^4-18x^2+5-10x^-^2[/tex]

We have a negative exponent, so this is not a polynomial.

Answer:

Step-by-step explanation: It is only c and e i just did the test.

50 points! Dustin and Melanie are playing a game, where two standard, six-sided number cubes are rolled, and the sum of their outcomes is found. Each player gets a chance to guess the correct sum, and the player that guesses the correct sum wins the game.

Dustin decides to guess a sum of six. Melanie decides to guess a sum of seven.

Which player made the better decision? ________

Answers

Answer:

Melanie is the right answer

Step-by-step explanation:

Melanie made the better decision if Dustin and Melanie are playing a game, where two standard, six-sided number cubes are rolled.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

Dustin and Melanie are playing a game, where two standards, six-sided number cubes are rolled.

If the sum is 6:

The possible outcomes are = {(3,3), (2,4), (4,2), (1,5), and (5,1)}

Total outcomes = 5

If the sum is 7:

The possible outcomes are = {(1,6), (6,1), (5,2),( 2,5), (3, 4), (4,3)}

Total outcomes = 7

Thus, Melanie made the better decision if Dustin and Melanie are playing a game, where two standards, six-sided number cubes are rolled.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

What is the average of the first n positive even numbers?

Answers

The average of all of them is the same as the average of the first and last, the same as the middle number in the group:
1 + n

Solution:

we have been asked to find the average of the first n positive even numbers.

Let the firm n positive even numbers be

[tex] 2,4,6,8,10,12,.........2(n-1), 2n [/tex]

As we know that average of numbers[tex] =\frac{\text{Sum of Numbers }}{Total number of Numbers}\\ [/tex]

Required Average[tex] =\frac{2+4+6+2(n-1)+2n}{n}\\ [/tex]

Required Average[tex] =\frac{2(1+2+3+....+(n-1)+n)}{n} [/tex]

As we know the sum of first n terms[tex] =\frac{n(n+1)}{2} [/tex]

Required Average[tex] =\frac{2n(n+1)}{2n}=n+1 \\ [/tex]

How do you determine whether to draw the boundary line of the graph of a linear inequality dashed or solid?

Answers

Solid is if x is greater/less than or equal to (there isn’t a symbol for it) the line and the line would be dashed if x is < or > something

) the length of a rectangle is 5 cm less than twice the width. if the area of the rectangle is 88 , find the dimensions of the rectangle.

Answers

pretty sure its done like this, hope it helps!

What is the solution of the equation 5x – 1 = 45? Round your answer to the nearest ten-thousandth

Answers

Final answer:

The solution to the equation 5x – 1 = 45 is x = 9.2, rounded to the nearest ten-thousandth.

Explanation:

The solution of the equation 5x – 1 = 45 is x = 9.2.

To solve this equation, we can start by isolating the variable x. Add 1 to both sides of the equation to get 5x = 46. Then, divide both sides by 5 to solve for x, giving us x = 9.2.

Therefore, the solution to the equation 5x – 1 = 45 is x = 9.2, rounded to the nearest ten-thousandth.

Describe the vertical asymptotes and holes for the graph of y=x-4/x^2+3x+2,

Answers

You have a vertical asymptote at those points where the denominator is equal to zero, you have holes at those points where both the nominator and the denominator are equal to zero at the same time.

Therefore:
x - 4 = 0
x = 4

x² + 3x + 2 = 0
(x + 2)(x + 1) = 0
x = -2 and x = -1

There are no points in which both numerator and denominator are equal to zero, therefore there are no holes, while x = -2 and x = -1 are vertical asymptotes.

Rewrite the radical exponent as a radical

Answers

[tex]\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} \qquad \qquad \sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\ -------------------------------\\\\ \left( 5^{\frac{3}{4}} \right)^{\frac{2}{3}}\implies 5^{\frac{3}{4}\cdot \frac{2}{3}}\implies 5^{\frac{1}{2}}\implies \sqrt[2]{5^1}\implies \sqrt{5}[/tex]

at 4:00 am,there were 800,000 gallons of water remaining at a reservoir.after 4 hours of irrigation,there were 100,000 gallons of water remaining.write an equation that describes the number of gallons of water as a function of the time the field has been irrigated

Answers

Let the[tex]x-axis[/tex] presents the time, and the [tex]y-axis [/tex] the gallons of water remaining, so our first point will be (4,800000). We know from the problem that after 4 hours, at 8:00 am, there were 100000 gallons, so our second point will be (8,100000).
To relate those two points we are going to use the point slope formula:
[tex]m= \frac{y_{2}-y_{1} }{x_{2}-x_{1} } [/tex]
where
[tex]x_{2}[/tex] is 8
[tex]x_{1}[/tex] is 4
[tex]y_{1}[/tex] is 800000
[tex]y_{2}[/tex] is 100000

So, [tex]m= \frac{100000-800000}{8-4} [/tex]
[tex]m= \frac{-700000}{4} [/tex]
[tex]m=-175000[/tex]

Now that we have our slope, we are going to use the point-slope formula to find our equation:
[tex]y-y_{1} =m(x-x_{1} )[/tex]
[tex]y-800000=-175000(x-4)[/tex]
[tex]y-800000=-175000x+700000[/tex]
[tex]y=-175000x+1500000[/tex]

The equation that describes the number of gallons of water as a function of the time the field has been irrigated is [tex]y=-175000x+1500000[/tex]
where
[tex]y[/tex] are the remaining gallons of water in the reservoir after [tex]x[/tex] hours
[tex]x[/tex] is the time the field has been irrigated in hours

How long would it take to travel 630 miles at the rate of 35 miles per hour? 18 h 35 h 220 h 350 h

Answers

you get it by taking the # of miles/the # of hours would be A. 18 h

Answer:

18h

Step-by-step explanation:

What is the solution of log6x+log6(x+5)=2?

Answers

Answer:4

Step-by-step explanation:just did it on edge

To solve log6(x) + log6(x + 5) = 2, combine the logarithms, rewrite in exponential form, and solve the resulting quadratic equation. The solutions are x = -9 and x = 4, but since logarithms of negative numbers are undefined, the final answer is x = 4.

To solve this logarithmic equation, follow these steps:

Combine the logarithms: Use the property of logarithms that states logb(a) + logb(c) = logb(a × c).
So, we have: log6(x) + log6(x + 5) = log6(x(x + 5)).
This simplifies to log6(x² + 5x).Set the logarithmic expression equal to 2: log6(x² + 5x) = 2.Rewrite the equation in exponential form: Using the definition of a logarithm, a logarithm logb(y) = c can be rewritten as [tex]b^{\\c[/tex] = y. Thus, we get 6² = x² + 5x.
This simplifies to 36 = x² + 5x.Solve the quadratic equation: Rewrite the quadratic equation in standard form: x² + 5x - 36 = 0.
Then, factor the quadratic: (x + 9)(x - 4) = 0.Find the solutions: Set each factor to zero and solve for x.
x + 9 = 0 → x = -9
x - 4 = 0 → x = 4.Check the solutions in the original equation: Since the logarithm of a negative number is undefined, discard x = -9.
Therefore, the solution to the equation is x = 4.

Final Answer: x = 4.

what is the answer to f(2)=2-5(2)

Answers

The answer -8. This can be found by using "PEMDAS" and muliplying -5 and 2 to get -10. Then combine like term by subtracting 10 from 2 to get -8.

In a billiards game, Pete hits a ball that is 20in. from a wall. The ball travels 34 in. until it hits the wall and bounces to a position that is 16 in. from the wall. What proportion can be used to find the distance, x, the ball traveled after it bounces off the wall to get to the ending position? CHECK ALL THAT APPLY!

options

34/x =20/16

20/16 = 34/x

16/20 = x/34

20/16 = x/34

Answers

Hello,

Using Thales, 34/x=20/16

Answer A

To find the distance the ball traveled after it bounces off the wall, we can use the proportion 34/x = 20/16, which simplifies to x = 27.2 inches.

To find the proportion that can be used to find the distance, x, the ball traveled after it bounces off the wall, we can use the equation:

34/x = 20/16

After cross multiplying, we get:

34 × 16 = 20x

Simplifying further:

544 = 20x

Dividing both sides by 20, we find:

x = 27.2

Therefore, the distance the ball traveled after it bounces off the wall is 27.2 inches.

Jade is painting a rectangular wall. The wall is 414 yards long and 223 yards high.The formula for the area of a rectangle is A=bh. What is the area of the wall?

Answers

The formula for the area of the rectangle is actually A = LW. The length of the rectangular wall is 414 yards while its width is 223 yards. To compute for its area, you just have to follow the formula:

A = 414 (223)

A = 92,322 yards^2

Therefore, the area of the wall is 92,322 square yards.

Answer:

hey the answer is 11 1/3

Step-by-step explanation:

ive taken the quiz and this is the answer 100%

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