After 200 years, 9.84 grams of Cesium would remain.
Let N represent the amount of substance after t years
The half-life of a cesium is 30 years., hence, this can be represented by exponential function:
[tex]N(t)=ab^t[/tex]
where a is the initial value and b is the multiplier.
There were initially 1000g of the substance
a) The exponential model for this situation is:
[tex]N(t) =1000(\frac{1}{2} )^{\frac{1}{30} t}\\\\N(t) =1000(\frac{1}{2} )^{\frac{t}{30}[/tex]
b) After 200 years (t = 200), the amount of Cesium remaining is:
[tex]N(200)=1000(\frac{1}{2} )^\frac{200}{30} \\\\N(200) = 9.84g[/tex]
Hence after 200 years, 9.84 grams of Cesium would remain
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what is the difference between a categorical and continuous variable?
Math help
Brainlest
Helpppppppp
Answer:
first one I think is 6 and then 3
Step-by-step explanation:
Write the equation for a line parallel to y = -2x+2 through (0,5)
Answer:
y=-1x+2?
Step-by-step explanation:
Jesse asked his parent for at least $50 to go
Chipotle with her friends.
Let m represent the amount of money that Jesse
gets from his parents.
Write an inequality to represent his request.
Answer:
m ≥ $50
Step-by-step explanation:
So Jesse needs at least $50, so she can get more
The symbol ≥ shows that you can have the amount and more than this amount
So m ≥ $50, which represents that she can get $50 or more
-Chetan K
Solve for c. 2a + 3b = c
Please help as soon as possible. Thanks! =D
Answer:
a = c - 3b/2
Step-by-step explanation:
2a + 3b - 3b = c - 3b
2a = c - 3b
2a/2 = c/2 - 3b/2
therefore your answer is a = c - 3b/2
what is If 1/2 a pound of walnuts cost $3.25. home much is one pound of walnuts?
Answer:
6.50
Step-by-step explanation:
just do 3.25 times 2 hope it helps
Nine hundred sixty seven divided by four with remander
Answer:
240
Step-by-step explanation: If this helped pls give this Brainliest answer.
Answer:
967÷4= 241 r 3
Step-by-step explanation:
You don’t have to do all 4 but if you can do some that would be great.
Find the measure of the indicated angle that makes lines u and v parallel.
Answer:
13) ?=90°
14) ?=180°-48° (int angles, u//v)
=132°
15) ?=93° (alt angles, u//v)
16) ?=96° (alt angles, u//v)
Answer:
13: 90°
14: 132°
15: 87°
16: 84°
Step-by-step explanation:
Just subtract the value given from 180
Hope this helps!
Find the measure of the missing angle.
а
24°
Since that is a right angle, it equals 90 degrees.
90 - 24 = 66
66 degrees...
I hope this helps..
triangle abc is dilated with a scale factor of 1/3 label the angle measurements in triangle abc
Answer:
B=1 and the rest Im unsure of sorry hope this helps
Step-by-step explanation:
cho A={0;2;4;6}. tập A có bao nhiêu tập con có 2 phần tử
Answer:
6
Step-by-step explanation:
{0; 2}
{0; 4}
{0; 6}
{2; 4}
{2; 6}
{4; 6}
NEED QUICK ASSIGNMENT IS OVERDUE
how many solutions do the following have? **NEED WORK SHOWN ON HOW TO SOLVE EACH ONE!!
6r + 7 = 13 + 7r
-14 + 6b + 7 – 2b = 1 + 5b
8x + 4(4x + 3) = 4(6x + 4) - 4
I gotchu :)
1) 6r + 7 = 13 + 7r - Subtract 6r from both sides...
7 = 13 + r - Subtract 13 from both sides....
r = -6 Check answer (don't need this part)6(-6) + 7 = 13 + 7(-6)
-36 + 7 = 13 -42
-29 = -29 ( It works )
2) -14 + 6b + 7 - 2b = 1 + 5b - Combine like terms...
-7 + 4b = 1 + 5b - Add 7 to both sides....
4b = 8 + 5b - Subtract 5b from both sides....
-b = 8 - Divide both sides by -1
b = -83) 8x + 4(4x+3) = 4(6x + 4) - 4 - Distributive property
8x + 16x + 12 = 24x + 16 - 4 Combine like terms
24x + 12 = 24x + 12 - Both terms equal each other
0 = 0
Since both terms equal each other, all numbres fit.
All real numbersWhat is the equation of the line that passes through the points (0, 5) and (0, 10)?
Answer:
x = 0Step-by-step explanation:
The both points lie on the y-axis as both have same x- coordinate, zero.
The line overlaps with y- axis and its equation is:
x = 0(EASY) Is this an equilateral triangle?
Answer:yes
Step-by-step explanation
Answer:
NO
Step-by-step explanation:
This is an isosceles triangle. AC is longer than AB and BC.
Find the length of segment AB if A (4, 1) and B(1,3). Round to the nearest hundredth, if needed.
AB = _ units
Answer:
[tex] \sqrt{13} [/tex]
Step-by-step explanation:
A(4;1) B(1;3)
●use distance formula (see photo^)
A statistician predicts that the probability of Wisconsin losing their next football game is 914. What are the odds for them winning? Write your answer as 1:2 which is reduced as much as possible.
Since the probability of them winning is 5/14, the odds of them winning is 5:14.
Probability of the team losing = 9/14
Probability of the team winning will then be: = 1 - 9/14 = 5/14
It should be noted that in order for us to get the probability of then winning, we have to subtract the fraction from 1 which was what was done above.
Therefore, it can be deduced that since the probability of them winning is 5/14, the odds of them winning is 5:14.
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https://brainly.com/question/25177274
A newborn baby has about 26,000,000,000 cells. An adult has about 4.94 x 10^*13 cells. How many times as
many cells does an adult have than a newborn? Enter your answer in scientific notation.
An adult has about =
times more cells than a newbom baby.
New born = 2.6 × 10¹⁰ cells.
Adult = 4.94 × 10¹³ cells.
How many times more = adult cells ÷ newborn cells
= 4.94 × 10¹³ cells ÷ 2.6 × 10¹⁰ cells
= 1.9 × 10³ cells
∴ adults have about 1.9 × 10³ more cells than newborn babies.simplify this please!!
Answer:
[tex] {5}^{ \frac{1}{2} } \times {5}^{ \frac{1}{3} } = {5}^{ \frac{5}{6} } [/tex]
what is the equation for the quadratic formula?
These triangles are similar. Find the missing
length.
h=
Answer:
Step-by-step explanation:
Plsssssssssss help me!!! I’m not good at algebra!!
What is the value of x?
The screenshot is down below.
Answer:
x=50
Step-by-step explanation:
This is a vertical angle, so the angle on top and the bottom are equal
[2(x+10)]=3x-30
2(x+10)=3x-30
2x+20=3x-30
50=x
The highest temperature ever recorded in a particular city was 105°F, and the lowest was
- 27°F. Use absolute values to find the difference between the highest and the lowest
temperatures.
highest is 105F
the lowest is-27F
is 3/4 and 10/15 proportional
Answer:
3/4 and 10/15 are not proportional
Step-by-step explanation:
3 is not a factor of 10 and 4 is not a factor of 15
Answer:
No
Step-by-step explanation:
3/4 is already simplified all the way, but 10/15 is not. 10/15 simplifies down to 2/3 (because 5x2=10 and 5x3=15), which is not equivalent to 3/4.
Tonya's mom gave her $15.00 to spend on a Saturday outing with her friends. She spent $8.50 going to a movie. How much money does she have left to spend on lunch?
Step-by-step explanation:
please mark me as brainlest
the movie theater offers a VIP member where you pay $75 for the VIP pass and then $4 per movie you see. People without the VIP pass that walk up to the movie theater pays $15 per movie they see
Answer:
so what are you trying to figure out
Step-by-step explanation:
could anyone help me with this?
Answer:
ya
Step-by-step explanation:
.
Given the endpoint A(0, 13) and the midpoint M(6,5)
Find the other endpoint of AB. B(
Answer: (3, 9)
Step-by-step explanation:
X: Midpoint between 0 and 6
X: Midpoint between 1 and 5
X: Midpoint between 2 and 4
X: Midpoint is 3.
Y: Midpoint between 13 and 5.
Y: Midpoint between 12 and 6.
Y: Midpoint between 11 and 7.
Y: Midpoint between 10 and 8.
Y: Midpoint is 9.
HELP 100 POINTS & BRAINLIEST!!!!
What is the domain of the following points?
{-1, 2, 1}
{-2, 1, 2}
{1, 2}
{-2, -1, 1, 2}
Answer:
-2,1,2
Step-by-step explanation:
Answer:
I hope this helps.
Step-by-step explanation:
Maria conducted an in-person pre-election survey about voter preferences in the Democratic primary. She found that nearly all respondents (98 percent) were open to supporting a woman candidate. However, in the anonymous follow-up survey that re-interviewed the respondents, only 80 percent responded that they would be open to supporting a woman candidate. What could be generating these different results
Answer:
the social desirability effect
Step-by-step explanation:
Social-desirability biases is the sort of response bias that is the tendency of the survey respondent to answer the question in a manner that is favorable to others.
As Maria found that most respondents 98% of the voters were open to support women candidates. The social desirably bias poses a serious problem during the self-reporting as the bias interferes with the interpretations of the average tendencies. As however during the anonymous survey of the voters or respondents showed only 80% of them would support the women candidate.Hence the social desirability bias is the main culprit for such a response.
Learn more about the Maria conducted an in-person pre-election survey about voter preferences.
brainly.com/question/16593814.
What property of addition allow us to change 2+4x into
4x + 2 between the first and second lines?