Radioactive isotope Carbon-14 decays at a rate proportional to the amount present. If the decay rate is 12.10% per thousand years and the current mass is 135.2 mg, what will the mass be 2.2 thousand years from now?
Using an exponential function, it is found that the mass 2.2 thousand years from now will be of 103.6 mg.
What is an exponential function?It is modeled by:
[tex]A(t) = A(0)e^{-k\frac{t}{n}}[/tex]
In which:
A(0) is the initial value.k is the decay rate per n years.In this problem:
The decay rate is 12.10% per thousand years, hence k = 0.121, n = 1000.The current mass is 135.2 mg, hence A(0) = 135.2.Then:
[tex]A(t) = A(0)e^{-k\frac{t}{n}}[/tex]
[tex]A(t) = 135.2e^{-0.121\frac{t}{1000}}[/tex]
The mass 2.2 thousand years from now will be given by:
[tex]A(2200) = 135.2e^{-0.121\frac{2200}{1000}} = 103.6[/tex]
The mass 2.2 thousand years from now will be of 103.6 mg.
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Find the reference angle for a rotation of 347°
The Refernce angle is 13
Step-by-step explanation:
For example imange a coordinate plane lets say we want to draw an angle thats 144° We start on the right side of the x-axis, where three o’clock is on a clock. We rotate counterclockwise, which starts by moving up. We keep going past the 90° point (the top part of the y-axis) until we get to 144°. hope this helps!
a company claims that their new bottle holds 25% more laundry soap. if their original container held 53 fluid ounces of soap. how much does the new container hold
Answer:
how do star appear to move in night sky
Please help!!
Combinations
For f(x) = 5x and g(x) = x + 1,
find the following functions.
a. (fog)(x)=
b. (gof)(x)=
c. (fog)(3)=
d. (gof)(3)=
a. (fog)(x)=
(Simplify your answer.)
Answer 1:
[tex]f\left(x\right)o\left(x\right)=5x^2+5x[/tex]
Answer 2:
[tex]g\left(x\right)o\left(x\right)=x^2+2x+1[/tex]
Answer 3:
[tex]f\left(3\right)o\left(3\right)=60[/tex]
Answer 4:
[tex]g\left(3\right)o\left(3\right)=16[/tex]
I hope this helps you
:)
Question
If
f(x) = ax + 6,
where a is a constant, and f(2) = 8, calculate a.
Provide your answer below:
Answer:
1
Step-by-step explanation:
f(x) = a(2) + 6 = 2a + 6
Given f(2) = 8
so 2a + 6 = 8
2a = 8 - 6 = 2
so a = 1
10. Multi-Step The paleontologist measures the fossils again and finds two errors. Two fossils with a length of 7.9 centimeters instead measure 8.1 and 8.2 centimeters. Which two numbers will have the same number of dots? A) 7.8 and 7.9 (В 8.0 and 8.2 © 7.8 and 8.1 D 7.9 and 8.1
The two numbers on the dot plot that will have the same number of dots would be: B. 8.0 and 8.2.
What is a Dot Plot?A dot plot can be described as a simple form of data visualization that shows the frequency at which each data points in the data set occurs, which are plotted as dots.
The data set of the measures of the fossils taken by the paleontologist include the following data points and the frequency at which they occur and how they are represented on a dot plot:
7.8 - 5 times (5 dots)7.9 - 6 times (6 dots)8.0 - 0 times (0 dot)8.1 - 3 times (3 dots)8.2 - 1 times (1 dot)We are told that the paleontologist found two errors, where a length of two fossils that measure 7.9 are recorded as 8.1 and 8.2.
Therefore, if the correct measures are used to draft a new dot plot, we would have the following data points and number of dots representing the correct frequency of each measures:
7.8 - 5 times (5 dots)7.9 - 8 times (8 dots)8.0 - 0 times (0 dot)8.1 - 2 times (2 dots)8.2 - 0 times (0 dot)Therefore, the two numbers on the dot plot that will have the same number of dots would be: B. 8.0 and 8.2.
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What are interesting applications of real analysis?dont steal my points
Answer:
Real analysis serves as the basis for measure theory, axiomatic probability, which follow to stochastic processes. Stochastic processes are used in finance, trading, computer and network simulations, modelling, manufacturing, quality control, etc
Ayuda porfa es para ahora
Answer:
i really dont know this is hard hm
Step-by-step explanation:
pls answer this all pls ASAP
Find the median of the data in the box plot below.
problems
Number of math problems
assigned by Ms. O'Brien
HH
0 2 4 6 8
HHHHH
14 16
20
10
12
18.
What is the median?
Answer:
median = 11
Step-by-step explanation:
The median is represented by the vertical line inside the boxplot
That is the median = 11
Answer:
11
Step-by-step explanation:
Where the line is ,it's at 11.
Also i got it correct on khan
How many 1/2 are in 5
find the value of x 22,27
Write an expression that represents the height of a tree that began at 6 feet an increases by 2 feet per year. Let y represent the number of years
Answer:
Yes.
Step-by-step explanation:
The expression 2y + 6 could be used to denote the tree's height.
What is an expression?A number, a variable, or a mixture of numbers and variables, along with operation symbols, make up an expression. Two expressions joined by an equal sign form an equation.
Given, the height of a tree that began at 6 feet and increases by 2 feet per year. Let y represent the number of years
Expression = 2y + 6
Since the height of the tree starts at 6 feet thus positive 6 would be constant and it increases by 2 feet every year thus 2 would be the multiple of the variable that is y.
therefore, an Expression that represents the height of the tree would be 2y + 6.
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Work out an approximation for 3.1 x 9.87
Answer:
3 x 10= 30
Step-by-step explanation:
Round 3.1 to 3. Round 9.87 to 10. Plug numbers in.
Answer:
30.597
Step-by-step explanation:
3.1×9.87 (3 decimal places)
So, 31×987 = 30,597
Place the decimal places hence, 30.597
The graph of f(x) shown below
Answer:
C
Step-by-step explanation:
the "-" sign can't be true, because that would have turned the whole graph of x² upside-down. but it is not.
so, we need a positive sign for the x term.
and the whole graph is shifted to the right. so the functional value of x of F(x) is now the same that happened "earlier" (for smaller x) with G(x). so, the argument "x" is now reduced (by 3 units, as the graph is shifted right by 3 units) in the calculation compared to the original G(x) calculation.
therefore, the ...(x-3)... expression is right.
so, positive sign and "(x-3)" is only in C.
Helppp meeee !!
!!
!!
Answer:
no
Step-by-step explanation:
3^3=27
so 3^3+3^3+3^3=27+27+27=81
3^9=19683
Answer:
No it's not same because we cannot add degrees. 3^9 is much greater than 3^3+3^3+3^3.
27+27+27≠ 19, 683
81≠19,683
Pls mark me brainliest
Step-by-step explanation:
A piñata is a container filled with candy and is broke by hitting it with a stick. The probability that Amanda will break a piñata on her first his is 0.58. She will continue to hit the piñata until it breaks. If she does not break the piñata on a particular hit, the piñata is weakened and the probability that she will break it on the next hit is 0.14 greater than the probability on the previous hit. For example, if the piñata does not break on the first hit, the probability that it will break on the second hit is 0.72 (found by 0.58 + 0.14 = 0.72). Calculate the probability that Amanda does not break the piñata on the first hit and does break the piñata on the second hit
Answer:
0.3024
Step-by-step explanation:
Given the following :
Probability of breaking pinata on first hit = 0.58;
P(first hit break) = 0.58
P(does not break on first hit) = 1 - p(first hit break) = 1 - 0.58 = 0.42
P(2nd hit break) = p(first hit break) + 0.14 = 0.58 + 0.14 = 0.72
Hence, Calculate the probability that Amanda does not break the piñata on the first hit and does break the piñata on the second hit
P(does not break on first hit) * p(2nd hit break)
0.42 * 0.72 = 0.3024
one number is 2 more than another. the difference between their squares is 60 what are the numbers
The sum of two consecutive numbers is
thirty-five, what are the numbers?
Answer:
17 and 18
Step-by-step explanation:
divide 35 by 2 and u get 17.5, this is in between 17 and 18 so that's why they are they consecutive numbers.
What is the y- intercept of the line. y + 11 = -2(x + 1.5)?
Answer:
(0, -14)
Step-by-step explanation:
4a + 5b – 6c = 2
Find the value of a for-3a - 2b + 7c = –15.
-a + 4b + 2c = -13
A. -3
B. -2
C. -1
D. -4
9514 1404 393
Answer:
A. -3
Step-by-step explanation:
The reduced row echelon form* of ...
[tex]\left[\begin{array}{ccc|c}4&5&-6&2\\-3&-2&7&-15\\-1&4&2&-13\end{array}\right][/tex]
is ...
[tex]\left[\begin{array}{ccc|c}1&0&0&-3\\0&1&0&-2\\0&0&1&-4\end{array}\right][/tex]
which tells you the value of 'a' is -3.
_____
* Many scientific and/or graphing calculators and web sites can find the reduced row echelon form of a matrix for you. Or, for a single variable (such as 'a'), you can use Cramer's rule. That requires you compute two 3×3 matrix determinants. Again, there are many calculators, apps, and web sites that will make this calculation for you.
[tex]a=\dfrac{\left|\begin{array}{ccc}2&5&-6\\-15&-2&7\\-13&4&2\end{array}\right| }{\left|\begin{array}{ccc}4&5&-6\\-3&-2&7\\-1&4&2\end{array}\right|}=\dfrac{147}{-49}=-3[/tex]
If x = 8, how much more wallpaper will Tara need for the living room than the bedroom?
Answer:
sorry theres not enough information to tell.
Step-by-step explanation:
:(
John is making a friendship bracelet with 6 different colors of thread. He uses 22 inches of each color. How many feet of thread does he use in all?
Answer:
132 inches of string in total
Step-by-step explanation:
since he uses 22 inches of each color and he has 6 colors what you have to do is multiply 22 by 6 and you get 132
Help me with factor trees pls it’s timed
There is a photo if u click
Answer:
28
4 7
2 2
here it is, hope it helps :)
x-3y+2x+4 combining like terms
Answer:
3x-3y+4
Step-by-step explanation:
Answer:
3x-3y+4
Step-by-step explanation:
x-3y+2x+4
Assume the coefficient of term x is 1, so: 1x-3y+2x+4
1x and 2x are the only like terms, so we combine them and the final answer is:
3x-3y+4
Solve: -1/2 x +3 = -x+7
Answer:
thats the answer
Step-by-step explanation:
I WILL GIVE BRAINLEST! PLEASE HELP!
On your graph paper, create a coordinate plane with axes and label the origin as O.
Place your compass on the origin, and open the compass to a radius that is equal to your favorite number. Construct a circle. You can add shading detail to start to make the circle appear like a sphere if you would like.
Label the radius value.
Using this radius value, calculate the volume of your sphere using the formula
Radius = _________
Work Space: Show all work and include the final volume. Volume = 4/3 π r3
Answer:
radius 2.7
Step-by-step explanation:
2.7 on the axes
Answer:
Step-by-step explanation:
Radius = 5
Volume = 4/3 π r3
= 4/3 (3.14) 5^3
= 523.33
please help me i need it i will give brainliest
Answer: 3m + 1 - m
plzz mark brainliest ;)
(-3x) – (-5) = (-2) + (-2x)
=
Draw a picture.
Explain the step.
Write the equation.
Answer:
Easy to solve.
X=7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Maya works mowing lawns and babysitting. She earns $8.60 an hour for mowing and $7.80 an hour for babysitting.
for 1 hour of mowing and 5 hours of babysitting
Answer:
total of 46.6 dollars
Step-by-step explanation:
8.60x1= 8.60
5x7.80= 39