Using an exponential function, it is found that the bottle contains 255,960 atoms of tritium after 11 years.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem:
The bottle initially contained 450,000 tritium atoms, hence A(0) = 450000.The amount decays by about 5% per year, hence r = 0.05.Thus, the equation is given by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = 450000(1 - 0.05)^t[/tex]
[tex]A(t) = 450000(0.95)^t[/tex]
After 11 years, the amount is given by:
[tex]A(11) = 450000(0.95)^{11} = 255960[/tex]
The bottle contains 255,960 atoms of tritium after 11 years.
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please help me i will give brainlyest to anyone who gets it correct!!!
Answer:
See below
Step-by-step explanation:
3x-429 + x/4 = 130 shows x = 172
QSN = 3x -429 = 87 degrees
HSX = 87 degrees
HSQ = 180 -87 = 93 degrees
XSN = x/4 = 43
PSN = 93 - 43 = 50
Find the next term of the following sequence.
9, 6, 4, ...
Answer:
13.5/1.5 = 9
9/1.5 = 6
6/1.5 = 4
4/1.5 ≈ 2.7
Which expression gives the volume of a sphere with radius 15?
WILL MARK BRAINLIEST IF CORRECT!!!
Answer:
D
Step-by-step explanation:
volume of a sphere is = to
v= 4/3pi(r^3)
Please please please please can someone help me with these four! giving brainly!
Answer:
area of rectangle 5 is 84.87
area of rectangle 6 is 27.71200
rectangle 7: perimeter is 64.64800 area is 104.96
rectangle 8: area is 32.69 perimeter is 36.15400
Note:
if i got any wrong im deeply sorry but good luck with this
Which is a factor of f(x) = 60x4 86x3 – 46x2 – 43x 8? use the rational root theorem to help you find your answer. x – 6 5x – 8 6x – 1 8x 5
Answer:
6x-1
Step-by-step explanation:
I dont know how to explain but it is correct
Answer:
6x – 1
Step-by-step explanation:
GRADES On her first four quizzes, Rachael has earned scores of 21, 24, 23, and 17 points. What score must Rachael
earn on her fifth and final quiz so that both the mean and median of her quiz scores is 21?
points
PLEASE HELP!! 100 points!
1. Solve and show your work for each question.
Note: Remember per the rule of 9s if you have a repeating and non-repeating component you need to handle them separately.
(A)What is 0.47 expressed as a fraction in simplest form?
(B)What is 0.4¯7 expressed as a fraction in simplest form?
(C)What is 0.¯47 expressed as a fraction in simplest form?
The computation shows that the value of 0.47 when expressed as a fraction in its simplest form is 47/100.
How to convert a decimal to a fraction?Multiply by 100/100 and keep in the form without division.
A. (0.47)
0.47 x 100/100
= 47/100
B. (-0.47)
= -0.47 x 100/100
= -47/100
C. (0.--47)
A minus sign multiplied by another minus sign makes a positive sign
= 0.--47 ⇒ 0.47
= 47/100
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What is the value of x in this diagram? (PLEASE HELP, GIVING 50 POINTS)
A) 52
B) 64
C) 128
D) 138
Answer:
128degrees
Step-by-step explanation:
180-52=128
Calculate the perimeter of the shape below. Show ur work!
Answer: 88 ft
Step-by-step explanation:
There are 2 sides that are 26 ft (multiply 26 by 2 to get 52)
There are 2 sides that are 18 ft (multiply 18 by 2 to get 36)
Add 52 and 36 together to get 88. Don't forget to add the units so it reads 88 ft.
I NEED HELP ASAP IM IN HIGHSCHOOL TAKING A TEST I DONT KNOW THIS I HAVE 24 MINUTES
Answer:
$21,389.79
Step-by-step explanation:
How many terms are in this polynomial?
What is the degree of the fourth term?
What is the coefficient of the second term?
What is the degree of the polynomial?
Answer:
4 terms
Degree of the 4th term = 5
Coefficient of the 2nd term = -6
Degree of the polynomial = 11
Step-by-step explanation:
Terms of polynomials: parts of the expression that are separated by the addition or subtraction operation.
Therefore, there are 4 terms in this polynomial.
If a term of the polynomial has more than one variable, then to calculate the degree of that term, add the powers of all the variables in the term.
Therefore, the degree of the fourth term is:
[tex]-\dfrac43x^3y^2 \implies \textsf{degree}=3+2=5[/tex]
The coefficient is the constant. Therefore, the coefficient of the second term is -6
Degree of a polynomial: The greatest exponent of a variable in the polynomial equation.
As some of the terms in this polynomial have more than one variable, we must first calculate the degrees of the individual terms, and then select the greatest as the degree of the polynomial equation.
[tex]-2x^9 \implies \textsf{degree}=9[/tex]
[tex]-6x^2y^6 \implies \textsf{degree}=2+6=8[/tex]
[tex]9x^7y^4 \implies \textsf{degree}=7+4=11[/tex]
[tex]-\dfrac43x^3y^2 \implies \textsf{degree}=3+2=5[/tex]
Therefore, the greatest degree is 11, so this is the degree of the polynomial.
#1
There are four terms
-2x⁹-6x²y⁶9x⁷y⁴-4/3x³y²#2
Degree of fourth term
3+25#3
Coefficient of -6x²y⁶
-6#4
Third term has highest degrees
7+4=11Degree of polynomial=11
please help give answer
Answer:
B
Step-by-step explanation:
A and B are complementary angles because their values add up to 90 degrees. <DAB is a right angle, and therefore <EAB is as well.
anyone knows how to do this, This would help so much
Answer:
$40,320 Ted has left.
Step-by-step explanation:
Question Progress
Homework Progress
25 / 58 Marks
爾
ह
55
Here is a pattern made from sticks:
1
a) How many sticks would be in pattern number 6?
b)
How many sticks would be in pattern number n?
Answer:
a) 32
b) 2 +5n
Step-by-step explanation:
Given the stick patterns shown, with 7, 12, 17 sticks, you want to know (a) the number of sticks in pattern 6, and (b) the number of sticks in pattern n.
SequenceThe numbers of sticks in the patterns shown are ...
7, 12, 17
The differences between these numbers are ...
12 -7 = 5
17 -12 = 5
That is, the first pattern has 7 and the common difference between patterns is 5. This indicates the sequence is arithmetic.
b) General termThe general term of an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
an = 7 +5(n -1) = 7 +5n -5
an = 5n +2 . . . . . . sticks in pattern n
a) Sixth termThe term when n=6 is ...
a6 = 5·6 +2 = 32 . . . . . . sticks in pattern 6
__
Additional comment
We find it easier to determine sticks in pattern 6 by first determining the formula for pattern n.
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What is the volume of a cylinder with base radius 3 and height 8?
Answer:
266.08
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = pi (3)^2 (8)
V = 72 pi
V = 72(3.14)
V is approximately 266.08
OR 72pi
Isaac is helping his mom build a tree house. Isaac is dividing the board shown below into 8 equal pieces. how long will each piece be?
Answer: x/8
Step-by-step explanation:
take the length of the board and divide it by 8
A flat rate shipping box is in the shape of a rectangular prism. You estimate that the volume of the box is 350 cubic inches. You measure the box and find that it has a length of 10 inches, a width of 9 inches, and a height of 4.5 inches. Find the percent error. Round your answer to the nearest tenth of a percent.
Please help thank you!!!
I will add more points
Answer:
15.7%
Step-by-step explanation:
You can't add points once you have posted the question. For those who are interested 50 points is more than enough.
Remark
There are two ways of calculating % error. Chemistry uses one way. Most others use the second method. I have used the second method.
Measurements
L = 10 in
w = 9 in
h = 4.5 in
Estimated result
350 cubic cm
Solution
Find the volume from the measurements of the Prism
V = L * w * h
V = 10 * 9 * 4.5
V = 405 in^3
Percent Error
% error = 100 * (Calculated Value - Estimated value)/(Estimated Value)
% error = 100 * (405 - 350)/350
% error = 100 * ( 55) / 350
% error = 15.71
% error = 15.7 (rounded)
Kaylee owns a small business selling clothing. She knows that in the last week 3
customers paid cash, 21 customers used a debit card, and 46 customers used a credit a
card.
Based on these results, express the probability that the next customer will pay with a
debit card a as a decimal to the nearest hundredth.
Answer:
0.3
Step-by-step explanation:
The point (3,-5) is reflected across the x axis. What are the
coordinates of this reflection?
The equation of x-axis is y=0.
Draw cordidate axis and you will find that taking image of coordinate (-3, 5) along y=0 is (-3, -5)…
Only sign of y changes then it becomes (-3, -5).
________ is a measure of the ratio of process outputs to inputs.
(01.06 MC)
Graph with Q on x axis, P on y axis. Curve S rises from the origin and increases in both x and y dimensions. Line D1 decreases in both x and y dimensions. An arrow points from line D1 to line D2, which is identical in shape to line D1, but shifted one unit to the positive x direction. Dashed lines extend in the positive x direction from P1 and in the positive y direction from Q1, intersecting line S and line D1. Dashed lines extend in the positive x direction from P2 one unit in the positive y direction from P1 and in the positive y direction from Q2 one unit in the positive x direction from Q1, intersecting line S and line D2.
Creative Commons
The price (P) of designer jeans is affected by the supply (S) and the demand (D).
Which of these can cause an increase in the price of designer jeans? (5 points)
Group of answer choices
Increased demand and no change in supply
Decreased demand and increased supply
Increased supply alone
Decreased demand alone
Artificial Monopoly because as businesses join together to set prices that is called artificial monopoly, although the government does not allow businesses to come together to set prices equal because this is no market competition. Hope this helps
Please answer the question and explain
Step-by-step explanation:
follow through that diagram. l have divided it into 3 figures A, B and C
what is the product of 5.06 and 2.1
Answer:
10.626
Step-by-step explanation:
There's multiple ways to go about it. See how
5.06 * 2.1 = (5 + 0.06)(2 + 0.1) = 5*2 + 0.06*2 + 5*0.1 + 0.06*0.1 =
= 10 + 0.12 + 0.5 + 0.006 = 10.626
Please notice how breaking up the product into smaller parts has let us make all the computations without too much hassle.
Answer:
The product is 10.626
Step-by-step explanation:
hope this helps
The average thickness of a chicken eggshell is 0.000356 m. Write an estimate for the average thickness of a chicken eggshell as a single digit times an integer power of 10. Show your work.
The average thickness of a chicken eggshell being 0.000356 m is written as a single digit times an integer power of 10 as: 4 × 10^{-4} (approx)
How does scientific notations work?The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).
Scientific notations have some of the profits as:
Better readability due to compact representation
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.
We're given that:
Average thickness of a chicken eggshell = 0.000356 m
We can rewrite it as:
[tex]0.000356 = \dfrac{356}{1000000} = \dfrac{3.56}{10000}= \dfrac{3.56}{10^4} = 3.56 \times 10^{-4}[/tex]
Since we need to write it as a single digit times an integer power of 10, therefore, we get:
[tex]3.56 \times 10^{-4} \approx 4 \times 10^{-4}[/tex]
Thus, the average thickness of a chicken eggshell being 0.000356 m is written as a single digit times an integer power of 10 as: 4 × 10^{-4} (approx)
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Which function is represented by the graph
Find the value of -8 - 12 - (-20).
24
16
-40
0
Answer: 0
Step-by-step explanation:
What value of x will make the triangles similar by the sss similarity theorem? 15.9 59 77 96.8
The value of x which will make the provided triangles similar by the sss similarity theorem is 77.
What is SSS similarity theorem?The SSS similarity theorem is the theorem which is used to check the two triangle are similar or not.
SSS means the side-side-side. This theorem states that if all the three sides of a triangle are proportional to the three corresponding sides of the another triangle, then the triangles are similar.
In the given image, the sides of the first triangle are 35,20 and 20. The sides of the second triangle are x, 44,44.
Thus, by the SSS similarity theorem,
[tex]\dfrac{x}{35}=\dfrac{44}{20}\\x=\dfrac{44\times35}{20}\\x=77[/tex]
The value of x which will make the provided triangles similar by the sss similarity theorem is 77.
Learn more about the SSS similarity theorem here;
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Answer:
77
Step-by-step explanation:
A-attached earlobes a-unattached earlobes if a is the allele for having attached earlobes, what percentage of offspring will have attached earlobes? 25% 50% 75% 100%
The percentage of the offspring that will have atatched earlobes as the dominant trait, is: 50%.
What is a Dominant Trait?
A dominant trait surpresses a recessive trait, and expresses itself. The allele of a dominant trait is usally denoted using capital letters.
Given the following traits:
A - attached earlobes (dominant allele)
a - unattached earlobes (recessive allele)
A cross between Aa and aa is shown in the image attached below.
The offspring having attached earlobes = 2 Aa = 50%.
50% of the osspring will have attached earlobes.
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(help much needed)
Answer:
C
Step-by-step explanation:
Because the input(x) does not repeat more than once
Answer:
A. It is not a function
B. It is not a function
C. It is a function
D. It is a function
Step-by-step explanation:
A relation has an input value which corresponds to an output value. When each input value has one and only one output value, that relation is a function.
What is the first step you would take to solve the following equation and why would you do that step first? 3(x - 5) = 6
Answer: You must start with the parentheses first because you have to leave the x by itself.
Step-by-step explanation:
That means it would be turned into 3(-5x) =6.