A 256- gallon barrel of radioactive Urikium is spilled at a factory. The entire area is evacuated. Experts say that the area can be deemed safe after only 2 gallons remain. Unfortunately, it is to toxic for any clean-up efforts, so residents will just have to wait for the Urikium to evaporate. Fortunately, Urikium has a half-life of only three hours. That means that half of the Urikium will evaporate every three hours

A 256- Gallon Barrel Of Radioactive Urikium Is Spilled At A Factory. The Entire Area Is Evacuated. Experts

Answers

Answer 1

Answer:

21 hours

Step-by-step explanation:

Since 2^8 = 256, that means it will take 7 half-lives to become two gallons

7 half-lives * 3 hours = 21 hours

256, 128, 64, 32, 16, 8, 4, 2

Answer 2

Answer:

Experts say that the area can be deemed safe after only 2 gallons remain. Unfortunately, it is too toxic for any clean-up efforts. She residents will

Step-by-step explanation:

To solve half-life problems, you use the equations:

f(t) = T0 (1/2)^(t/t1/2). where T0 is the initial mass and T1/2 is the half-life.

So we get f(20)= 5 = T0•(1/2) ^ 20/11

T0 = 17.63 mg

For the second part of the question, we plug 0.5 mg into the equation:

0.5 = 17.63 • (1/2)^ t/11

t = 56.5 days


Related Questions

which is equivalent to y=(x-4)(x-2)?
1.y=x^2+2x-8
2.y=x2+6x+8
3.y=x^2-6x+8
4.y=x^2-2x-8​

Answers

Answer:

C

Step-by-step explanation:

hii please help i’ll give brainliest

Answers

Answer:

0.5

Step-by-step explanation:

Answer is 0.5 since between 0 and 1 is 0.5

LOOKS EASY !! NO FILES/LINK THX

Answers

What is the question?

Reduce the fraction to its simplest form



24/42 hurry please I have no clue lol

Answers

It should be 4/7 ! If I'm wrong I apologize- but I hope this helps :)

Answer:

4/7 :)

Step-by-step explanation:

I need to know what the answers are and show work. Please help me! And thank you!

Answers

Answer:

x=29

∠C=93°

Step-by-step explanation:

180°-52°-35°=3(x+2)°

180°-87°=(3x)°+6°

93°=(3x)°+6°

(3x)°=87°

x=[tex]\frac{87}{3}[/tex]

x=29

∠C=3(x+2)°

=3(29+2)°

=3(31)°

=93°

Lauryn grew p tomato plants. Padma grew 5 fewer than 3 times the number Lauryn grew. Kent grew 6 more than 4 times the number Lauryn grew. Choose an expression and a simplified expression to represent the total number of tomato plants that Lauryn, Padma, and Kent grew. Select all that apply.

Answers

Answer:

A. p + (3p – 5) + (4p + 6)

D. 8p + 1

Step-by-step explanation:

A. p + (3p – 5) + (4p + 6)

B. p + (5 – 3p) + (6 + 4p)

C. p + 11

D. 8p + 1

E. 7p – 1

Lauryn = p tomatoes

Padma = (3p - 5) tomatoes

Kent = (4p + 6) tomatoes

Total number of tomato plants that Lauryn, Padma, and Kent grew = Lauryn + Padma + Kent

= p + (3p - 5) + (4p + 6)

= p + 3p - 5 + 4p + 6

= p + 3p + 4p - 5 + 6

= 8p + 1

Total number of tomato plants that Lauryn, Padma, and Kent grew = 8p + 1

A. p + (3p – 5) + (4p + 6)

D. 8p + 1

Destiny makes earrings and bracelets to sell. She makes a profit of $15 for
every pair of earrings she sells and a $12 profit for every bracelet she sells
The cost of making one pair of earrings is $4 and the cost of making one
bracelet is $6. She only has $36 she can spend this week to make her
merchandise. She knows she wants to make at least 8 pieces of
merchandise to sell this week. What is the maximum profit she can make
based on these constraints? (If you do not have access to graph paper to
complete this problem, you can use Desmos to graph the constraints.
Remember the steps, 1. Define Variables, 2. List Constraints, 3. Graph and
shade feasible region, 4. Plug in vertices to objective function to find
maximum profit) *

Answers

Answer:

$135

Step-by-step explanation:

She would make 9 pairs of earrings, they have the least cost and the highest profit. No other combination would yield a higher profit.

what can i add to 1,663,134 to make 2,148,431​

Answers

Answer:

485297

Step-by-step explanation:

What is the sum of (5x - 10) and (-X + 8) ?

Answers

Answer:

4x-2

Step-by-step explanation:

(5x-10)+(-x+8)

5x-10-x+8

5x-x-10+8

4x-10+8

4x-2

Therefore, the sum is 4x-2

Answer:

4x - 2

Step-by-step explanation:

(5x - 10) + (-x + 8)

To solve this problem, one must simplify, combine like terms. One can only combine a variable unit with another variable unit, likewise, one can only combine a constant (numerical term) with another constant.

(5x - 10) + (-x + 8)

= 5x - 10 - x + 8

= 4x - 2

If the measure of <1 = 37 degrees what is the measure of <3

Answers

Answer:

x= 119

Step-by-step explanation:

All triangles have a sum of 180 degrees for all of their angles

so 180= 24+37+ x

x= 119

PWEASE HELP ME, AREA OF A CIRCLE

Answers

Answer:

Step-by-step explanation:

A= πr2 = π·72 ≈153.93804

Answer: 153.86[tex]ft^{2}[/tex]

Step-by-step explanation:

The formula for an area of a circle is: π[tex]r^{2}[/tex]

In this instance you are using 3.14 for pi.

3.14 ([tex]7^{2}[/tex])= 153.86

Area= 153.86[tex]ft^{2}[/tex]

Andre wrote the expression −3+6x÷5 to represent the relationship shown in the table. Find two other expressions that also represent the relationship shown in the table. Select all that apply.
A.
5÷​(−3​)+6x
B.
6x−3
5
C.
6x÷5+​(−3​)
D.
​(−3+6​)+x÷5
E.
6
5x−3
F.
3+​(−6x÷5​)

Answers

Answer:

C is the correct answer

Step-by-step explanation:

Express (x + 9)2 as a trinomial in standard form.

Answers

Answer:

Step-by-step explanation:

Answer:

[tex] {x}^{2} + 18x + 81[/tex]

Step-by-step explanation:

[tex](x + 9) {}^{2} [/tex]

Apply foil method.

[tex](x + 9) {}^{2} = (x + 9)(x + 9)[/tex]

Multiply the first terms, X

[tex]x \times x = {x}^{2} [/tex]

Multiply outer terms, 9 and x.

[tex]x \times 9 = 9x[/tex]

Multiply inner terms,

[tex]9 \times x = 9x[/tex]

Multiply outer terms.

[tex]9 \times 9 = 81[/tex]

Add the inner and outer terms

[tex]9x + 9x = 18x[/tex]

Write in standard form

[tex] {x}^{2} + 18x + 81[/tex]

MMM HAYYY help me with this pls cus I need help :|.

Answers

Answer:

B-17

Step-by-step explanation:

all the student in the 0 cullum don't count. If you add everyone else up you get 17.

Brainliest?

Answer:

B=17

Step-by-step explanation:

since zero hours counts as no one volunteering we can conclude that Section 0 needs to be erased so it is 17

What is the value of –16 (-5=23)?

Answers

Answer: i need points ty

Step-by-step explanation:

hhhhh

Find the volume of each solid

Answers

Answer:

the answer is

13 cm:y

5 cm:x

2 cm:z

I will give brainiest help pls

Answers

Answer:

it could be the 5th one !!

6/1000 is equal to...
A 0.0006
B 0.006
C 0.06
D 0.6
E 6000

Answers

Answer: B

0.006

Step-by-step explanation:

Answer:

B. 0.006

Step-by-step explanation:

for 6/10 it would be 0.6, 6/100 is 0.06, and 6/1000 is 0.006. Also the way you would say 6/1000 is either six over one thousand or six thousandths which is also how you would say 0.006.

i hope this helps!

29*9
It's too short. Write at least 20 characters to get a great answer.

Answers

Answer:

261

Step-by-step explanation:

Between​ 12:00 PM and​ 1:00 PM, cars arrive at a local​ bank's drive-thru at the rate of cars per hour ​( car per​ minute). The formula below from probability can be used to determine the probability that a car will arrive within t minutes of​ 12:00 PM. Use this information to answer the questions given below in parts ​(a)​(e).

Answers

Complete question :

Between 12:00 PM and 1:00 PM, cars arrive at Citibank’s drive-thru at the rate of 6 cars per hour (0.1 car per minute). The following formula from statistics can be used to determine the probability that a car will arrive within t minutes of 12:00 PM. F(t)=1−e^−0.1t

Determine how many minutes are needed for the probability to reach 80%.

Answer:

16.09 minutes

Step-by-step explanation:

Given the function :

F(t)=1−e^−0.1t

To attain 80% probability ; 80% = 0.8

0.8 = 1 - e^-0.1t

0.8 - 1 = - e^-0.1t

-0.2 = - e^-0.1t

Take the In of both sides

In(0.2) = In( e^-0.1t)

−1.609437 = - 0.1t

Divide both sides by - 0.1

−1.609437 / -0.1 = - 0.1t / 0.1

16.09 = t

Hence, the time it'll take will be 16.09 minutes

Answer:

80/100=0.80

.8=1-e^-0.3t

.8+1=-e^-0.3t

1.8=-e^-.3t

t=5.36

Step-by-step explanation:

I'll mark branliest, also I need work shown please!!!
A baseball is thrown up in the air. The table shows the heights y (in feet) of the baseball after x seconds. Write an equation for the path of the baseball. Find the height of the baseball after 1.7 seconds. ​

Answers

Y=1/2x+18 GIVE ME BRAINSLIST NOW

The equation of an object in free fall is the equation of a parabola

The equation for the path of the ball is y = -16·x² + 36·x + 4The baseball height, after 1.7 seconds is 18.89 feet.

The reason the above values are correct are as follows:

The known parameters are;

The direction of the baseball is up in the air

The values of the height of the baseball after x seconds is given as follows;

[tex]\begin{array}{ccc}\mathbf{Time, \ x}&&\mathbf{Baseball \ height, \ y}\\0.5&&18\\1&&24\\1.5&&22\\2&&12\end{array}\right][/tex]

Required;

To write the equation for the path of the baseball

Solution:

The general equation of the motion of free fall is the equation of a parabola, which can be written as follows;

y = a·x² + b·x + c

From the given table, we have;

18 = a·0.5² + b·0.5 + c = 0.25·a + 0.5·b + c

18 =  0.25·a + 0.5·b + c...(1)

24 = a + b + c...(2)

22 = 2.25·a + 1.5·b + c...(3)

12 = 4·a + 2·b + c...(4)

Subtracting equation (1), from (2), to get equation (5) and subtracting equation (3) from (4) to get equation (6) gives;

6 = 0.75·a + 0.5·b...(5)

-10 = 1.75·a + 0.5·b...(6)

Subtracting equation (5) from equation (6) gives;

-10 - 6 = 1.75·a - 0.75·a = a

a = -16

From equation (5), we get;

6 = 0.75 × (-16) + 0.5·b

b = (6 - 0.75 ×  (-16))/0.5 = 36

b = 36

From equation (2), we get;

24 = (-16) + 36 + c

c = 24 - ((-16) + 36) = 4

The equation for the path of the ball is y = -16·x² + 36·x + 4

Required;

The height of the baseball after 1.7 seconds

Solution:

The height, y, of baseball after 1.7 seconds is given by substituting for the time x = 1.7 in the equation of the baseball as follows;

After 1.7 seconds, y = -16 × 1.7² + 36 × 1.7 + 4 = 18.89

The height of the baseball y, after 1.7 seconds is 18.89 feet.

Learn more about motion of an object in free fall here:

https://brainly.com/question/14113699

ILL GIVE BRAINLEIST!!
Find the sum of the given arithmetic series:
104 + 101 + 98+...+14
A. O 1820
B. O 1786
C. 1829
D. O 1926

Answers

Answer: 317

Step-by-step explanation:

The correct answer is letter B

The harper family budgeted 37% of their income of $53000 for taxes. How much did they budget for taxes?

Answers

Answer: $19,610

Step-by-step explanation:

53000(.37)=19610

find the area of the shaded part

Answers

Answer:

Step-by-step explanation:

the easiest thing to do is to make the half squares which you have 4 into 2 whole  squares then base times height

4x3=12

Answer:

26cm²

Step-by-step explanation:

Alrighty, let's go count squares:

On the top row, there's 4 (adding the halves together), on the second row there's 5, and on the bottom row there's also 4, so we add that all together to get:

4 + 5 + 4 = 13

But, because each square is 2 cm, we have to multiply:

13 x 2 = 26

So, the area of the shaded section is 26cm²

hope this helps:)

Use the diagram and proportional reasoning to
complete each statement.
The circumference of the entire circle is vt in.
The sector is of the circle.
The arc length is ut in
14.13
120°

Answers

Answer: the circumference of the entire circle is 28.26

The sector is 1/3 of the circle

The arc length is 9.42 in

ON EDGE

Answer:

The circumference of the entire circle is

28.26

π in.

The sector is

1/3

of the circle.

The arc length is

9.42

π in.

Step-by-step explanation:

2) Give two names for a
triangle with all 3 sides
having the same length.

Answers

I believe one
is named congruent triangle
not sure for the other one

The price of pants is bigger than the price of a shirt by 4$.
Mike bought 10 shirts and 5 pants.
Mike payed 20$ more for the shirts than the pants.
How much does a shirt cost?
How much do pants cost?

Answers

Answer: A shirt costs $8 and the pants cost $ 12.

Step-by-step explanation:

Let x = Cost of each shirt, y = Cost of each pant.

As per given, we have

[tex]y-x=4 \ \ \ (i)\\\\ 10x-5y = 20\ \ \ (ii)[/tex]

Multiply 5 on both sides of (i), we get

[tex]5y-5x=20 \ \ \ (iii)[/tex]

Add (ii) and (iii), we get

[tex]5x=40\\\\\Rightarrow\ x=8[/tex]

From (i), y=4+8=12

Hence, a shirt costs $8 and the pants cost $ 12.

Unit test
Find the value of s in the triangle shown below.
33°

103

Answers

Answer:

x = 44

Step-by-step explanation:

x + 33 + 103 = 180

x + 136 = 180

x = 44

Please tell me the answer to X. I really need your help. I'll even give you Brainliest if you give a proper answer with no download links. You should also give an explanation.

Answers

Answer:

6

Step-by-step explanation:

expand

x-7= 1/4x-10/4

3/4x=18/4

multiply 4 on both sides to get rid of the denominator

3x=18

x=6

check work by substituting

6-7= 1/4(6-10)

-1= 1/4(-4)

-1=-1

they are equal, so it's correct

does anyone know the answer to this?

Answers

Answer:

Step-by-step explanation:

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