Answers
Answer:
65
Step-by-step explanation:
Plug in values:
81 - 16 = 65
Related Questions
NEED HELP ASAP!!!!
A sample of 600 g of radioactive lead-210 decays to polonium-210 according to the function A(t) = 600e ^-0.032t, where t is time in years. Find the amount of radioactive lead remaining after
(a) 3 yr
(b) 8 yr
(c) 15 yr
(d) find the half-tie
round to the nearest integer as needed.
Answers
The amount of radioactive lead remaining after 3 years is 545gm.
The amount of radioactive lead remaining after 8 years is 464gm.
The amount of radioactive lead remaining after 15 years is 371gm.
The half-tie for radio active lead is 21.66 years.
Given that,
A sample of 600 g of radioactive lead-210 decays to polonium-210,
According to the function A(t) = 600e ^-0.032t,
Where, t is time in years.
We have to find,
Find the amount of radioactive lead remaining after.
According to the question,
Function [tex]A(t) = 600e^{(-0.032t)}[/tex]
After 3 years the amount of radioactive lead,[tex]A(3) = 600\times e^{(-0.032t)} \\\\A (3) = 600 \times \dfrac{1}{e^{0.032\times 3} } \\\\e^{0.096} = 1.10075\\\\A (3) = 600 \times \dfrac{1}{e^{0.096} } \\\\A (3) = 600 \times \dfrac{1}{1.10075} } \\\\A(3) = \dfrac{600}{1.10075}\\\\A(3) = 545gm[/tex]
The amount of radioactive lead remaining after 3 years is 545gm.
After 8 years the amount of radioactive lead,[tex]A(8) = 600\times e^{(-0.032t)} \\\\A (8) = 600 \times \dfrac{1}{e^{0.032\times 8} } \\\\e^{0.0256} = 1.129175\\\\A (8) = 600 \times \dfrac{1}{e^{0.0256} } \\\\A (8) = 600 \times \dfrac{1}{1.129175} } \\\\A(8) = \dfrac{600}{1.129175}\\\\A(8) = 464gm[/tex]
The amount of radioactive lead remaining after 8 years is 464gm.
After 15 years the amount of radioactive lead,
[tex]A(15) = 600\times e^{(-0.032t)} \\\\A (15) = 600 \times \dfrac{1}{e^{0.032\times 15} } \\\\e^{0.48} = 1.61607\\\\A (8) = 600 \times \dfrac{1}{e^{0.48} } \\\\A (8) = 600 \times \dfrac{1}{1.61607} } \\\\A(8) = \dfrac{600}{1.61607}\\\\A(8) = 371gm[/tex]
The amount of radioactive lead remaining after 15 years is 371gm.
The half-tie for radioactive lead,[tex]A(15) = 600\times \dfrac{1}{2} = 600e^{-0.032t} \\\\= e^{(-0.032t)} = \dfrac{1}{2}\\\\Taking \ log \ on \ both \ sides\\\\= -0.032t = ln2\\\\= t = \dfrac{ln2}{-0.032}\\\\= t = 21.660\\\\= t = 21.66 years[/tex]
The half-tie for radio active lead is 21.66 years.
To know more about Radioactivity click the link given below.
https://brainly.com/question/12520966
6+ 3x = 15 with work!
Answers
Answer:
X=3
Step-by-step explanation:
Rearrange terms
6+3=15
3+6=15
Subtract from both sides of the equation
3+6=15
3+6−6=15−6
Simplify
Subtract the numbers
Subtract the numbers
3=9
x=3
X = 3.
Step-by-step explanation:
1) Subtract 6 from both sides.
[tex]3x = 15 - 6[/tex]
2) Simplify 15 - 6 to 9.
[tex]3x = 9[/tex]
3) Divide both sides by 3.
[tex]x = \frac{9}{3} [/tex]
4) Simplify 9/3 to 3.
[tex]x = 3[/tex]
So, therefor, 5he answer is x=3.
What is the volume of the rectangular prism?
Answers
Answer:
There isn't any picture, so I'm assuming that the volume is l*w*h. Just multiply the three dimensions.
Step-by-step explanation:
here are 3 spheres. The volume of sphere Q is 50% more than the volume of sphere P .The volume of sphere R is 50% more than the volume of sphere Q.
Find the volume of sphere P as a fraction of the volume of sphere R
Put your answer in the form a/b
Answers
Answer:
4/9
Step-by-step explanation:
got it right on mathswatch
If x + 3/4 = 1 , then which point on the number line could be x?
Answers
Why is math stu pid? It is no point? me think that. Also grammer
Answers
Answer:
I don't think there is a point to math lol
Answer:
it depends on what job you want
I think we should be able to choose what classes we take in high school but then Idek what i want to do sooo that's also a problem
FLUENCY
1. The expression 7(x+3) is equivalent to which of the following?
(1) 7x + 3
(3) x+21
(2) 7x+10
(4) 7x+21
Answers
Find Measures in Intersecting Circles
The diameters of D, B, and A are 4 inches,
9 inches, and 18 inches, respectively. Find AC.
A. 3 in.
B. 5 in.
C. 7 in.
D. 9 in.
Answers
If a = -2 and b = -5, find ab+6.
A. -4
B. 60
C. 16
D. -16
Answers
Answer:
16
Step-by-step explanation:
ab+6=(-2)(-5)+6=10+6=16
Answer:
It would be 16
Step-by-step explanation:
I hope this helped
OMG HELP ASAP!!!!!!!!! WILL MARK BRAINIEST + 15 POINTS !!!!!!!!!!!!!!!!!!!!!!!!!!!!
2 PROBLEMS ATTACHED!
Answers
A hike starts at an elevation of 13 and four-fifths feet below sea level and ends at an elevation that is 1,542 feet higher. How high is the hiker, in feet, above sea level at the end of the hike?
Answers
Answer:
the height above the seal level at the end of the hike is [tex]1528 \frac{1}{5} feet[/tex]
Step-by-step explanation:
The computation is shown below:
[tex]= 1542 - 13 \frac{4}{5}\\\\= 1542 - \frac{69}{5}\\\\= \frac{7710-69}{5} \\\\= \frac{7641}{5}\\\\= 1528 \frac{1}{5} feet[/tex]
Hence, the height above the seal level at the end of the hike is [tex]1528 \frac{1}{5} feet[/tex]
Answer:
Its B
Step-by-step explanation:
Which are solutions of the equation (x+5)(x-3)=0
Answers
Answer:-5 and 3
Step-by-step explanation:-5 +5 is 0 and 0 times any number is 0 also 3-3 is 0 and 0 times any number is 0
help if ya can please!!
Answers
Answer:
D
Step-by-step explanation:
What I’d the first step? How do I find angle A?
Answers
Answer: charity activity trivia señora Sonia de warrior Gloria Delaware 853
Step-by-step explanation:
Henry walked 3 miles and Sasha walked 12 miles.
Sasha says she walked 9 more miles than Henry.
Henry says that Sasha walked 3 times as many miles as he walked. Who is correct?
Answers
HURRY!! What is the solution to the system of equations?
O(-6,4
O 0,-1)
O 0,-2)
O (2,0)
Answers
Answer:
x -6, y 0,
x 0, y -1,
x 0, y -2,
x 2, y 0
Find the volume of the cone
Answers
Answer:
formulae : 1/3 × area of base × height
= 1/3 × 6 × 8
= 1×2×8
=16
help plz brainly crown
Answers
I divided each side of the original triangle (6 : 8 : 16) by 2 to get this answer.
In ΔGHI, h = 990 inches, g = 910 inches and ∠G=53°. Find all possible values of ∠H, to the nearest degree
Answers
Answer:
827
Step-by-step explanation:
help meee pleaseeeee
Answers
Answer:
D) x>5
Step-by-step explanation:
Simplify the like terms
3w - 2h + -5w+6h
Answers
4h-2w
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{3w - 2h + -5w + 6h}[/tex]
[tex]\large\text{COMBINE the LIKE TERMS}[/tex]
[tex]\large\text{(3w + (-5w)) + (-2h + 6h)}[/tex]
[tex]\large\text{(-2h + 6h) = 4h}[/tex]
[tex]\large\text{(3w - 5w) = -2w}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \bf4h - 2w}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Simply the experission 53+3(5-3)
Answers
Answer:
59 is the Answer
Step-by-step explanation:
53+3(5-3)
53+15-9
68-9
59
What is the momentum of an 80 kg basketball player driving to the basket with a constant velocity of 8 m/s?
Answers
Answer:
p=Mv
p=(80)(8)
p=640kgms-1
The required momentum of the basketball is 640 kgm/s.
Given that,
Mass of the basketball = 80kg
The velocity of the basketball = 8m/s
We have to determine,
The momentum of the basketball.
According to the question,
The momentum center of an object is equivalent to the mass of the object times the velocity of the object.
[tex]P = MV[/tex]
Where M is the mass of basketball= 80kg
And v is the velocity = 8m/s.
Substitute all the values in the given equation.
[tex]P = MV \\\\P = 80 \times 8 \\\\P = 640[/tex]
Hence, The required momentum of the basketball is 640 kgm/s.
To know more about Momentum click the link given below.
https://brainly.com/question/20748413
Which answers are equivalent to 85 ? Choose two answer.
8+8+8+8+8
8*5
8 *9*8*8*8
5+5+5+5+5+5+5+5
32768
Answers
Answer: there all 40 but for 32768 because its 32768 and 8 *9*8*8*8 because its 36864
A bag contains five red marbles 3 blue marbles and 7 yellow marbles into remodels which radio can be used to compare the yellow my bus to the blue marbles
Answers
Answer:
The ratio to compare would be C) 5 to 3 because there are 5 red amrbels and 3 blue ones
A random sample of n = 16 scores is obtained from a parent population with σ = 12. If the sample mean is 6 points greater than the population mean, what is the z-score for the sample mean?
Answers
Answer:
0.5
Step-by-step explanation:
Sample mean, x = 6 points greater than population mean ;
Population mean, m = 16
Standard deviation, s = 12
Zscore = (sample mean - population mean) / standard deviation
Zscore = (x - m) / s
x = 16 + 6 = 22
Zscore = (22 - 16) / 12
Zscore = 6 /12
Zscore = 0.5
Please help!
If the flea is to the left of zero and the absolute value of its location is 3.6, where on the number line is it?
Answers
Answer:
I JUST HAD THIS QUESTION AND I GOT 3/3, THE ANSWERS -3.6 BECAUSE THE ANSWER HAS TO BE TO THE LEFT OF THE ZERO, AND THE NUMBER IS 3.6, SO IF ITS TO THE LEFT AND THATS THE NUMBER THEN ITS -3.6 PERIODDDDD
Step-by-step explanation:
Answer:
If the flea is to the left of zero and its absolute value is 3.6, it means that the flea is located at a negative value on the number line. Since the absolute value of its location is 3.6, we can deduce that the flea is located at -3.6 on the number line.
Step-by-step explanation:
Please mark as Brainliest
Did you guys know about this math website called Tiger Algebra? This is not a ad but i'm just asking because it is helping me too
Answers
Answer:
no
Step-by-step explanation:
A group of students were surveyed to find out if they like watching television or reading during their free time. The results of the survey are shown below:
90 students like watching television
20 students like watching television but do not like reading
80 students like reading
40 students do not like watching television
Make a two-way table to represent the data and use the table to answer the following questions.
Part A: What percentage of the total students surveyed like both watching television and reading? Show your work. (5 points)
Part B: What is the probability that a student who does not like watching television also does not like reading? Explain your answer. (5 points)
Answers
Answer:
A. 170
Step-by-step explanation:
A. 90+80=170
sorry I'm not sure about B though
Urgent!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The first round of a racquetball tournament begins with 148 players. Every round, half of the players lose and are eliminated from the tournament leaving 74 players in the second round. The tournament continues in the same fashion until one player finally wins the tournament. Determine if the scenario describes an arithmetic or a geometric sequence then write the formula for the sequence described.
Answers
Answer:
Notice that 99 players need to be eliminated for there to be declared a winner. Notice also that every match eliminates exactly one person. Therefore, 99 matches are needed to eliminate 99 people and therefore declare a winner. The rest of the information is irrelevant. Therefore, the total number of matches is text divisible by 11.