Value of constant 'k' = -0.041097
Equation modeling the exponential decay → [tex]\text{ln}\frac{N}{N_0}=-0.41097t[/tex]
Rule for the radioactive decay: Rule for the radioactive decay is given by the expression,
[tex]\text{ln}\frac{N}{N_0}=-kt[/tex]
Here, N = Amount remaining after 't' years
N₀ = Initial amount of the radioactive element
k = Constant
t = Period of decay
Given in the question,
N = 100 gms N₀ = 75 gms t = 5 yearsSubstitute these values in the expression for the value of 'k',
[tex]\text{ln}\frac{75}{100}=-7k[/tex]
[tex]k=\frac{1}{7}[(\text{ln}(75)-\text{ln}(100)][/tex]
[tex]k=\frac{1}{7}[4.317488-4.605170][/tex]
k = -0.041097
Equation modeling the exponential decay → [tex]\text{ln}\frac{N}{N_0}=-0.41097t[/tex]
Therefore, value of constant 'k' = -0.041097
Equation modeling the exponential decay → [tex]\text{ln}\frac{N}{N_0}=-0.41097t[/tex]
Learn more about the radioactive decay here,
https://brainly.com/question/9660135?referrer=searchResults
2 divided by 5/12= what
Can anyone help me with these two problems.
I’ll mark you as a brainliest.
Answer:
0,7. 1,15. 2,23. 3,31. 4, 39. 5,47
Answer:
Step-by-step explanation:
Maria
y= 7, 15, 23, 31, 39, 45, 52,
98. Find the values of A and B which satisfy
the equations cos (2A + B) = 0.3 and
cos (2A - B) = 0.6 if 0° < 2A + B < 90° and
0° < 2A-B < 90°.
Answer: answer is a
Step-by-step explanation:
i will give brainlist to who ever gets it right
Answer:
2(j+2)
Step-by-step explanation:
Since 2 is the GCF, you should take out 2 to make the answer 2(j + 2).
Answer:
that will be 2(j+2) by taking hCf outside
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HElp PLZ DUE RIGHT KNaw
Answer:
variables :)
Step-by-step explanation:
Answer:
[tex]....8. \to \: b) \: \: 3 \\......................9. \to \: c) \: coefficients \\............... 10. \to \: d) \: variables[/tex]
I also need to know
SAS
NOT SIMILAR
SSS
AA
Answer:
AA
Step-by-step explanation:
bggdjjydyjjydyjdjyfukufkuf
Please help I will give brainly as long as you tell me how to do it
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answer:
The answer is Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
identify the sequence
A. 12, 144, 1728
b. 0, 5, 10, 15, 20
c. 14, 11, 8, 5
d. 625, 125, 25, 5
Answer:
Step-by-step explanation:
A) multiplied by 12
B) Add 5
C) Minus 3
D) Divide by 5
Y= 4x + 2 put this on a graph please
....................................................
Is 1 a solution for the linear equation 8x - 19 = -4 - 7x?
Answer:
Yes. 1
Step-by-step explanation:
To solve the equation 8x - 19 = -4 - 7x, you must:
Rearrange the terms: 8x − 19 = −4 − 7x TO 8x − 19= − 7x −4Add 19 to both sides: 8x - 19 = - 7x = 4 TO 8x - 19 + 19 = - 7x -4 + 19Simplify by adding the numbers: 8x = - 7x + 15Add 7x to both sides: 8x + 7x = - 7x + 15 + 7xSimplify by combining like terms: 15x = 15Divide by like terms: 15x / 15 = 15 / 15 = 1x = 1Simplify: x = 1Can someone help me with this? I'm not good with functions.
Answer: The answer is option C
Step-by-step explanation:
Answer: it is C
Step-by-step explanation:
$16.94 divided by 5 which is how many pounds there is is 3.388 which rounds up to 3.39
Given g(x) = - 4x + 4, find g(3).
Answer:
Answer:
-8
Step-by-step explanation:
substitute x with 3
-4(3) + 4
simplify (multiply)
-12+4
simplify
-8
Answer:
g(3) = -8
Step-by-step explanation:
g(3) = -4x + 4 Substitute 3 for X:
g(3) = -4(3) + 4
-4 * 3 = -12
g(3) = -12+4
g(3) = -8
Clint completly filled his 18 gallon tank of gas with regular fuel for 55.08. As he left the gas station he noticed the station arcross the street sold regular fuel for 2. 99 Per gallon how much money could have clint saved per gallon is he had gone to the station across the street
Answer: 1.26
Step-by-step explanation:
Since he bought a 18 gallon tank of gas with regular fuel for 55.08.
The station across the street sold regular fuel for 2.99 per gallon. A 18 gallon tank will cost:
= 18 × 2.99
= 53.82
The amount that could have been saved would be:
= 55.08 - 53.82
= 1.26
Can someone help w this
8-(-4)=
What’s the answer?
I'll give you brainlist if u help :)A certain culture of yeast increases by 50% every three hours. A scientist places 9 grams of the yeast on a culture dish. write the explicit and recursive formulas for the geometric sequences formed by the growth of the yeast.
Answer:
pleasee reply me ...
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Answer:
plz mark me as a brainelist
hope it helps you
Solve the equation below for y.
12(y−8) = 14y−2
Answer:
y=-47
Step-by-step explanation:
12(y-8)=14y-2
12y-96=14y-2
-96=14y-2-12y
-96=2y-2
-96+2=2y
-94=2y
-94/2=y
-47=y
y=-47
Answer:
-47
Step-by-step explanation:
Help plsssssssss??????
Answer:
y= -1/3x-3
Step-by-step explanation:
The slope is -1/3 because the equation is rise/run. The rise is 1, and the run, or horizontal length, is 3. Because the line is slanting toward the left, the slope will be negative.
y=mx+b is the equation for a linear line.
y= -1/3x+b (substitute the slope in)
choose any point on the line, for example, (0,-3).
-3= -1/3(0)+b (0 is the x, and -3 is the y)
b= -3
Your equation will be y= -1/3x-3
9514 1404 393
Answer:
y = -1/4x -3
Step-by-step explanation:
The slope is found by counting grid squares between grid crossing points. The line crosses grid points at (0, -3) and again at (4, -4). That is, for 4 units to the right, it drops 1 unit, so the slope is ...
m = rise/run = -1/4
The crossing at (0, -3) tells you the y-intercept is b = -3, so the slope-intercept equation is ...
y = mx +b
y = -1/4x -3
Write the equation of a line that is parallel to y=x-4 and passes through the point (2,3)
Answer:
y = x - 1
Step-by-step explanation:
The given line is y = x - 4. Any line parallel to this one has an equation of the same form, though the constant will be different.
Substitute the coordinates of the given point (2, 3) into y = x - 4 and determine the value of b, which is the y-intercept:
3 = 2 - C
Then C = -1, and the desired equation is y = x - 1.
Help I need help!!!! Please
Find the measure of each numbered angle in the rhombus. 1 5 2/3 4
Answer:
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:-))
A market buys cashews for $15 per pound. They want to mark up the cashews 20%. What is the new price per pound?
Answer:
18 dollars
Step-by-step explanation: You find 20% of 15 which is 3 and then add 15 and 3.
x^2- y = 4
2x + y = -1
use graphing to find the solutions to the system of equations
Answer:
SOLUTION: x + y =5 2x - y =4 -2x +-2y = -10 2x-y =4 2x - y = 4 2x -2 =4 3y -6 __ ___ 3 = 3 y = -2 __ then lost - is this right so far a
2 equivalent ratios to 9/12. HELP PLEASE !!!
Answer: 3/4 and 27/36
Step-by-step explanation:
i'm assuming this question just means two other fractions that equal 9/12. so, i found a common factor of both of the numbers, and i used 3. so, i just divided both by 3 to get the first fraction and then multiplied both by 3 to get the second fraction.
Susie is visiting the U.S. from Mexico. One day she stopped by a market and found a stall selling tomatoes for 0.97 dollars per pound. If 1 peso was worth 0.053 dollars that day, how much did the tomatoes cost in pesos per kilogram?
Answer:
eish
Step-by-step explanation:
shhsjsbsbebsjushehbsjejdudushebeisius I'm sorry
please help will make brain list “simplify each expression”
Answer:
[tex]x^{10}[/tex]
Step-by-step explanation:
[tex]\frac{x^{12} }{x^{2} }[/tex] = [tex]x^{12 - 2}[/tex]
12 - 2 = 10
So,
[tex]x^{10}[/tex] is the correct answer.
Hope this helps! ^^
Shannon bought 518 pounds of apples. Bill bought 278pounds of apples. Which most closely estimates how many more pounds of apples Shannon bought than Bill?
Answer:
240 pounds.
Step-by-step explanation:
Given that,
Shannon bought 518 pounds of apples.
Bill bought 278 pounds of apples.
We need to find how many more pounds of apples Shannon bought than Bill.
More Apples = Shannon Apples - Bill Apples
= 518 - 278
= 240
Hence, 240 pounds of apples Shannon bought than Bill.
hey its me againnnnnnn i need some help here =v=
Answer:
Step-by-step explanation:
42 square units
Order from least to greatest 7.003, 7.00301, 7.00294, 7.00289 →
Answer:
7.003 7.00289 7.00294 and 7.00301 I think this is correct good luck so sorry if it is not
Step-by-step explanation:
I need help answer as soon as possible.
If 5-x=3 then what is 3x^2
• Solution:-
➪ 5 - x - 3 = 0
➪ 5 - 3 - x = 0
➪ 2 - x = 0
➪ 2 = x
Hence, x = 2
Now,
✯ 3x²
➪ 3 × (2)²
➪ 3 × 4
➪ 12Therefore, 3x² will be = 12.