Answer:
The half-life of a radioactive substance is the time it takes for half of the initial amount of the substance to decay. We can use the fact that 8% of the original amount remains after 100 days to determine the half-life of the isotope.
Let's assume that the initial amount of the substance is 1 unit (it could be any amount, but we're assuming 1 unit for simplicity). After one half-life, half of the original amount remains, or 0.5 units. After two half-lives, half of the remaining amount remains, or 0.25 units. After three half-lives, half of the remaining amount remains, or 0.125 units. We can see that the amount of substance remaining after each half-life is half of the previous amount.
We can use this information to set up the following equation:
0.08 = (1/2)^n
where n is the number of half-lives that have elapsed. We want to solve for n.
Taking the logarithm of both sides, we get:
log(0.08) = n*log(1/2)
Solving for n, we get:
n = log(0.08) / log(1/2) = 3.42
So the number of half-lives that have elapsed is approximately 3.42. Since we know that 100 days is the time for three half-lives (from the previous calculation), we can find the half-life by dividing 100 days by 3.42:
Half-life = 100 days / 3.42 = 29.2 days (rounded to one decimal place)
Therefore, the half-life of the radioactive isotope that leaked into the stream is approximately 29.2 days.
6p² equals to..................
Answer:
36p is the correct answer
Please help this is due today!
Calculate the unknown missing angle measures.
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answer:
well it is a right trianlg that means that the first side is 90 degrees
and the other two sides are 45 because they look the same angles so 180 minus 90 = 90 divide that by 2 to get 45
Step-by-step explanation:
Please help this is due today!
Use the diagram to complete the statements using correct notation. If there is not enough information to prove congruency, explain why:
Example cannot be determined
If it’s a congruent, the congruence reason has to be SAS SSS ASA OR SAA
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answer:
Can not be determined.
Step-by-step explanation:
From the figure attached,
In ΔHFS and ΔIFS,
Side HS ≅ Side HI [Given]
∠HFS ≅ ∠IFS [Given]
Side FS ≅ Side FS [Reflexive property]
But there is no property of SSA (Side-side-angles for the congruence of two triangles)
Therefore, answer is "can not be determined".
Find the volume of the sphere below in terms of pi? Round to the nearest tenth
8 cm
Answer:
B
Step-by-step explanation:
Answer:
b) 682.7
Step-by-step explanation:
4/3 π r3
1.33 x π x (8x8x8)
1.33 x 512 x π
681 . 9 π cm3 (round it to nearest tenth) = 682.7
please tell fast plzzzzzz
Step-by-step explanation:
1x+4x=180(sum of supplementary angles)
5x. =180
x. =180/5
x. = 36
Help pls!!!!!!!!!!!!!!!!!!!!!!!!! Questions 2 Five students scored 80 on a test, five students scored 85, and five students scored 90.
Complete each statement below by inserting the correct number
a. The mean is equal to
b. The median is equal to
C. The range is equal to
d. The mean absolute deviation is equal to
Answer:
Ñ consigo responder pois estar em inglês
I need the answer asap!!
Answer:
Step-by-step explanation:
x² × 2x² = 2x^4 (2x to the power of 4)
x² × -3x = -3x³
+3 × 2x² = 6x²
+3 × -3x = -9x
2x^4 , -3x³ , 6x², -9x
In bold are the bottom two
21 x 15 = (20 + 1) x 15 =
Answer:
hello! have a good day!
21 x 15 = (20 + 1) x 15 = 315
Use this model to calculate
3/8 times 2/6
A.16/18 B.13/24 C.6/48 D5/48
Answer:
Step-by-step explanation:
i do not see any model, but the answer is
3/8*2/6=6/48
The solution of the expression 3/8 times 2/6 is,
⇒ 6/48
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The expression is,
⇒ 3/8 times 2/6
Now, We can simplify as;
⇒ 3/8 times 2/6
⇒ 3/8 × 2/6
⇒ 6/48
Thus, The solution of the expression 3/8 times 2/6 is,
⇒ 6/48
Learn more about the multiplication visit:
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if a Biro costs 12.50naira. How many biros can buy with 300 naira?
Answer:
300\12.50
Step-by-step explanation:
that will be your answer bra
Can you please help me
Step-by-step explanation please
Answer:
x=9
Step-by-step explanation:
It’s a ratio.
2/6=5/(6+x)
cross-multiply
12+2x=30
2x=30-12
2x=18
x=9
Or even more simply:
2/6=3/x
2x=18
x=9
HELP ......,,,,,...,,.....
Answer:
6. Not similar.
7. Not similar.
8. Not similar.
Step-by-step explanation:
6. Reduce all ratios to simplest form 16:20 = 4:5 ; 12:15 = 4:5 ; 20:26 = 10:13 not all of the sides follow the same ratio, so the triangles are not similar.
7. None of the side lengths are shown. You can find the missing angles of the triangle however, only one of the angles is congruent to the other, so the triangles are not similar.
8. We know that 2 of the sides of each triangle are congruent, and the angle in between the sides are also congruent, which follows the SAS similarity conjecture. However, given that the sides are congruent, not similar in ratio, I can conclude that the triangles are congruent, not similar.
PS. It would mean the world to me if you could mark me brainliest!
Side note- I am not a professional, I just have done this a few months in the past! Best of luck!
What expression simplifies to 2i ? help asap lots of points
Answer:
Step-by-step explanation:
First, consider the following expression.
(6x + 8) + (4x + 2)
To simplify this expression, you combine the like terms, 6x and 4x. These are like terms because they have the same variable with the same exponents. Similarly, 8 and 2 are like terms because they are both constants, with no variables.
(6x + 8) + (4x + 2) = 10x + 10
For the sequence defined by a1=2
An+1=5/an-4
Answer:
i thnk is 239.213
Step-by-step explanation:
pa^2 + qb^2 + pb^2 + qa^2
Answer:
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Word problem please help thank you
Answer:
The equation would be P(t) = 280t + 3310
The estimated number of moose in 2008 would be 8350 moose.
Step-by-step explanation:
First we will have to find out by how much will the number of moose increase each year. In order to do that we the number by which the population of moose increase, by the difference between 1991 and 1999. And so we get...
[tex]\frac{5830-3590 }{1999 - 1991} = \frac{2240}{8} = 280[/tex]
Now that we know by how much the number of moose increases each year, we can make the following equation...
Let "t" be the number of years from 1990, then...
P(t) = 280t + 3310
(if you are wondering why is it 3310, it is because you have to put in the number of moose that was there in 1990 and you can get that number by substracting 280 from the number of moose in 1991).
Based on the linear relation we figured out, the number of moose in 2008 would be predicted to be...
P(t) = 280t + 3310
P(2008 - 1990) = 280(2008 - 1990) + 3310
P (18) = 280(18) + 3310
P(18) = 8350
I have 21 students and each picture takes 3 minutes and each class picture takes 10 minutes
Answer:
It would take 73 minutes in total.
Step-by-step explanation:
21 students x 3 minutes = 63 minutes
63 + 10 = 73
I hope this is what you were asking :)
3(6+b)-(2b +1)
Simplify the expression
Step-by-step explanation:
3(6+b)-(2b+1)
=18+3b-2b+1
=18+1+3b-2b
=19+b
what is the solution of 4 + √ 5x + 68 = x + 10
Answer:X=3
Step-by-step explanation: Option B
A explanation would help very much
Answer:
x = 14
y = 40
Step-by-step explanation:
3y+8 = 128
3y = 120
y = 40
45/20=2.25 (scale factor)
5x-25 = 2.25(2x-8)
5x-25 = 4.5x - 18
.5x = 7
x=14
What is the volume of the triangular prism to the nearest whole unit.
Answer: 720ft
Step-by-step explanation:
15 x 3=45
45 x 16= 720
Hope this helps
The zoo charges $14.50 for each visit, or you can buy a membership for $100
Answer:
Step-I’m going to need more information
Answer:
ill rather buy the membership
Step-by-step explanation:
Because its less money for more times to go to the zoo.
please help me thank you
Answer:
y+3=-3/5(x + 5)
Step-by-step explanation:
3x+5y=15 has a slope of -3/5. With the point (-5,-3) that would be y + 3= -3/5(x + 5) in point slope form.
7. Look at the picture.
There are designated walkways for people at this beach. Why are these walkways constructed?
A) To keep people away from the other animals that live there.
B) To beautify the beach area in order to attract more tourists.
C) To protect the people, especially children, who visit the beach.
D) To protect sand dunes from foot-traffic that contributes to erosion.
Answer:
A
Step-by-step explanation:
Walkways are constructed to keep people away from the other animals that live there. Therefore, the correct option is option A.
What is walkway?In American English, "walkway" refers to any artificial surface or building that facilitates the use of trails. A walkway is described as "a tunnel or path for strolling along, especially. a raised hallway connecting separate sections of such a building or perhaps a wide path inside a park or garden" in the New English American Dictionary.
In New Zealand, wherein "walkways vary significantly in nature, between short urban strolls, to easy seaside areas, to demanding tramps in the high country [mountains]," the word is used to designate a footpath. Walkways are constructed to keep people away from the other animals that live there.
Therefore, the correct option is option A.
To know more about walkway, here:
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Evilate the functions
f(x+7)=
Answer:
hindi ko alam pano bayanpasenya naStephen Simmons received a single payment loan for a loan for $6,200. he agreed to repay the loan and 160 days at an interest rate of 10% ordinary interest. What is the maturity value of his loan when he pays it back in 160 days. 
9514 1404 393
Answer:
$6475.56
Step-by-step explanation:
The maturity value is ...
A = P(1 +rt)
where P is the principal amount, r is the annual rate, and t is the number of years. For ordinary interest, a year is 360 days, so the number of years is 160/360 = 4/9.
The loan value is ...
A = $6200(1 + 0.10×4/9) ≈ $6475.56
Stephen's loan has a maturity value of $6,475.56.
What equivalent ratio to 5:15?
Answer:
10 : 30
Step-by-step explanation:
Answer:
10:30
----------------------
What is the answer to n/4 = -9
Answer: n=-36
Step-by-step explanation:
Answer:
-36
Step-by-step explanation:
n/4=-9
Can be rewritten as
n/4 x 4 = -9x4
simplify
n=-36
plecorato de potasio es elemento
Answer:
no es un elemento de la tabla periódica
6 grade math pls help and do step by step
Answer:
14
Step-by-step explanation:
13-2=11 then 11x 3 =33 then 33-25=8+=14
Answer:
Step-by-step explanation:
PEMDAS is going to be your best friend bud. It stands for Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction. This is the order you will use for all problems like this in the future. Start by solving everything inside the parenthesis.
6+3(11)-5^2=?
Now that all the parenthesis are gone we move on to exponents.
6+3(11)-(5*5)=?
6+3(11)-25=?
Now that all exponents are gone we solve for multiplication and division, whichever comes first when reading from left to right.
6+33-25=?
The final step is to add and subtract from left to right.
Hope this helps!