The annual rate of decay is r = 0.87
How to use the half-life?
We know that if a quantity has a half-life of T, then the rate of decay must be such that:
r^T = 0.5
This means that when a time T passes, the original quantity becomes half of what it originally was.
In this case we know that the half-life is T = 5 years, then we have:
r^5 = 0.5
r = 0.5^(1/5) = 0.87
Then the annual rate of decay is r = 0.87, and if the initial quantity is 18 grams, we can write the exponential decay as:
f(t) = 18g*(0.87)^t
If you want to learn more about exponential decays, you can read:
https://brainly.com/question/11464095
Answer:
13%
Step-by-step explanation:
I took the test on edge and got it right
Factor completely 3x(x 2) 4(x 2). (x 2)(3x 4) (x 2)(12x) (x 2)(7x) Prime.
The complete factor of the expression [tex]\rm 3x (x +2) + 4 (x +2)[/tex] is [tex]\rm(x+2)(3x + 4)[/tex]. Then the correct option is A.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression is [tex]\rm 3x (x +2) + 4 (x +2)[/tex].
To solve the expression properly we have to take common (x+2). Then we have
[tex]\rm 3x (x +2) + 4 (x +2)\\\\(x+2)(3x + 4)[/tex]
The correct factor is (x + 2)(3x + 4).
More about the factorization link is given below.
https://brainly.com/question/6810544
Answer:
Yup A
Step-by-step explanation:
Find the discriminant of 5x2 – 3x + 2 = 0 =
Answer: -31
Step-by-step explanation:
5x³- 3x + 2 = 0
a = 5, b = -3, c = 2
(-3)² -4 × 5 × 2
-31
Two circles centered at the origin are graphed on the coordinate plane. The smaller circle has a radius of 2 units and the larger circle has a radius of 8 units.
The equations that describe the given circles are:
x^2 + y^2 = 4
x^2 + y^2 = 64
How to get the equations for the circles?
For a circle of radius R, centered at the point (a, b), the equation is:
(x - a)^2 + (y - b)^2 = R^2
In this case, we have two circles, both centered on (0, 0), but one has a radius of 2 units and the other a radius of 8 units, then we have two equations:
x^2 + y^2 = 2^2 = 4
x^2 + y^2 = 8^2 = 64
These are the two equations that describe the given circles.
If you want to learn more about circles, you can read:
https://brainly.com/question/25306774
550 m:1.1 km simplify the ratio
Step-by-step explanation:
Ratios can be fully simplified just like fractions. To simplify a ratio, divide all of the numbers in the ratio by the same number until they cannot be divided any more.identify the triangle please hurry
First off, no sides have the same length as the others, so it cannot be an equilateral or an isoceles triangle, as it would required at least 2 sides to have the same length.
So, we're left with scalene triangle options.
There is an angle that is an obtuse angle (as it is more than 90 degrees and less than 180 degrees), so this is a scalene obtuse triangle.
Why can you not do negative numbers to the power of 1. 5?.
Answer:
Lets say we have (-1)^(1.5)
Step-by-step explanation:
(-1)^(1.5) = (-1)^(3/2)
= (√(-1))^3 which has no solution in the real number field, as √(-1) does not exist.
In the complex number field √(-1) = i, and (-1)^(1.5) = i^3 = -i.
what is 7x1+1x1+1X1+1-0X + 0x2 + 2x simplified
Answer:
Simplify the expression.
X+10x+1
Answer:
X+10x+1
Step-by-step explanation:
this would be your answer
Why did the Texans fought in the civil war
Answer:
Texans fought in the Civil War for states' rights, sectionalism, and to keep their slaves.
Texans fought in the Civil War to protect State Rights.
Need help please answer
Pablo is mailing packages. Each small package costs him $2.20 to send. Each large package costs him $3.70. How much will it cost him to send 1small package and 5 large packages?
Answer:
$20.70
Step-by-step explanation:
5 × $3.70 = $18.50 + $2.20 =
$20.70
hellllllllppppppppppppppppppppp plllllsssssssssssssssssssssss
Answer:
$12.50
Step-by-step explanation:
The shop offers a discount, buy 8 pounds for the price of 5.
Answer:
20
Step-by-step explanation:
10 plus 10 is 20 and 4 pounds is 10 therefor its 20
Sal’s pizza shop can make 7 pizzas in 15 minutes. At this rate, how many pizzas can they make in 4 hours?
Answer:
112 pizzas
Step-by-step explanation:
There are 60 minutes in an hour, means that Sal's pizza shop can make 28 pizzas an hour. Multiply this by 4 to get 112
Answer:112
Step-by-step explanation: I got you Breh
You see first you divide 4 hours by 15 minutes and you get 16 minutes.
To confirm that you can do 16 x 15 and it would be 240, and 4 hours is 240 miniutes.
Now you multiply 16 by 7 and you get 112
Hope this helps
ILL GIVE BRAINLIEST
Assume:
+There are 365 days a year
+No spoilage issues
+Pi= 3.14
Answer: Assume π = 3.14(rounded upto two decimal point)
Case I. 1 year = 365 days
2 years = 730 days
3 years = 1095 days
And .14 years = 51 days 2 hours 24 minutes
So, 3.14 years = 1146 days 2 hours 24 minuts.
Now, suppose you born in a leap-year.
Case II. 1 year = 366 days
2 years = 732 days
3 years = 1098 days
and .14 years = 51 days 5 hours 45 minutes 36 seconds
Then, 3.14 years = 1149 days 5 hours 45 minuts 36 seconds
So, yes, it is possible to be exactly π years old. At exactly 1146 days 2 hours 24 minutes or 1149 days 5 hours 45 minutes 36 seconds (in case of a leap-year born), we could have celebrate at our π years birthday.
Step-by-step explanation:
essay about why people should not join a gang
Answer: Joining a gang will not give you more protection; it could enhance your chance of being targeted as a victim. Gang members make far less money than those who do not join gangs. Gang members usually don't get a good education, making it hard to find a good job. Gang involvement increases your risk of being arrested, having to go to court, being put on probation or parole, being jailed, injured, or even killed. Being a gang member is a dangerous thing. Often, members realize this once they have joined the gang and want to leave. It is never easy to leave a gang because as a member you have information that could be shared with authorities like the police – and as a result, get the gang members in trouble. You would always be getting in trouble with the law because you would apart of a gang group. Gangs often steal, break in peoples houses, break in to their cars and etc. Gang members leave you to take the blame so the other ones would not get caught and go to jail. Being in a gang is really bad for you because if you did didce to leave the gang then they might come and kill you and your family because they have no respect for other people.
Hope it helps
Over time, the number of organisms in a population increases exponentially. The table below shows the approximate
number of organisms after y years.
y years
1
2
3
4
number of organisms, n
55
60
67
75
The environment in which the organism lives can support at most 600 organisms. Assuming the trend continues, after
how many years will the environment no longer be able to support the population?
Answer:
B
Step-by-step explanation:
I got it right in ed2022
Answer:
Correct, answer is indeed 24.
Step-by-step explanation:
took the quiz
The term solution is related to the word solve what do you think a solution might be
Answer:
something attained by mental effort and especially by computation
is called a solution, When you solve you get the solution meaning you have to tryed and never given up , to gain the solution.
A number (a) rounded to the nearest 10 is 240. Another number (b) rounded to the nearest 100 is 300. a and b are whole numbers. What is the greatest difference between a and b?
Answer:
64
Step-by-step explanation:
a = 235
b = 299
d (difference) = b - a
d = 299 - 235
d = 64
Consider the equation and the graph
Answer:
-33/16
I'm pretty sure it is c sorry if not may be -39/16
Difference between 3/5of Raman's present age and his age before 4years is zero. What will be his age after 5 years ?
Answer:
[tex]11 \frac{2}{3} [/tex]
Years
Step-by-step explanation:
Let x be his current age
[tex] \frac{3}{5} x - 4 = 0 \\ x + 5 = [/tex]
Solve the expression:
[tex] \frac{3}{5} x - 4 = 0 \\ + 4 \\ \frac{3}{5} x = 4 \\ \times \frac{5}{3} \\ x = 4( \frac{5}{3}) \\x = \frac{20}{3} \\ x = 6 \frac{2}{3} [/tex]
[tex]x + 5 \\ 6 \frac{2}{3} + 5 \\ 11 \frac{2}{3} [/tex]
Which of the following sets of numbers could represent the three sides of a triangle?
Answer:
( 8 , 15 , 24 )
option d is the correct answer
Once a week Mrs. Baker makes sugar cookies.
The first week she makes the recipe, she uses
the 2 full cups of sugar called for. Each week
after that, she reduces the amount of sugar
by one third. How much sugar does she use
for cookies over 8 weeks? (Hint: The common
ratio is not 1/3.)
By getting the exponential decay that models the situation, we will see that after 8 weeks she uses 0.12 cups.
How much sugar does she use each week?
We know that the first week, she uses 2 cups of sugar, and each week she uses removes one-third of what she used the previous week.
Then the second week she uses:
S₂ = 2 cups - (1/3)*(2 cups) = 2 cups*(1 - 1/3) = 2 cups*(2/3)
The third week she uses:
S₃ = 2 cups*(2/3) - (1/3)*2 cups*(2/3) = 2 cups*(2/3)^2
You already can see the pattern, at week x, she will use:
Sₓ = (2 cups)*(2/3)^(x - 1)
This is an exponential decay.
To get how much sugar does she uses after 8 weeks, we just replace x by 8 in the above equation:
S₈ = (2 units)*(2/3)^(8 - 1) = 0.12 cups of sugar.
If you want to learn more about exponentials, you can read:
https://brainly.com/question/11464095
i need help with this math i am not very good at it
Answer:
44 sq. in.
Step-by-step explanation:
Area (total) = (1/2)(3)(4) + 10(3) + (1/2)(8)(2)
= 6 + 30 + 8
= 44 sq. in.
need help please. math question.
Answer:
I think it's C
Step-by-step explanation:
360°-232° = 128°
Identify the angles of rotational symmetry for the figure.
Answer:
60°
Step-by-step explanation:
The internal angLe is 60°
Please help this is so confusing
Step-by-step explanation:
The ones that apply are:
1) 10t + 5s = 190
2) t + s = 30
No. 1 is because each tumbler is $10 making 10t and each hat is $5 making 5s and the total sales is $190
No. 2 is because the total tumblers and hats sold add up to 30
Sometimes all you need is a different perspective :)
Hope this helps!
Please mark as brainliest :)
help asap this question is from timeforlearing i will give 100 points and brainly
Answer:
[tex]\sf 4[/tex]
Explanation:
[tex]\sf \frac{1}{4} (15+h)-g[/tex]
[tex]\sf given: h = 5 , \ g = 1[/tex]
solve:
[tex]\sf \frac{1}{4} (15+5)-1[/tex]
[tex]\sf \frac{1}{4} (20)-1[/tex]
[tex]\sf 5-1[/tex]
[tex]\sf 4[/tex]
How many 1/4 cup servings of milk are in a 4-cup container? show your math
Answer:
You need 16 1/4 cups to fill up a 4-cup container.
Step-by-step explanation:
Tell me an rounded to the nearest 10th of needed of the following data set is 30,29,40,51,39,24,60,40,35,58
Pls I will give brainiest if you answer within
10 minutes
What is the positive solution to the equation 5x2+2=47
Answer:
X=3, or X=-3 But the positive answer is X=3
Step-by-step explanation:
Rewrite the equation 5x^2+2=47
Subtract 2 from each side -----> 5x^2+2-2=47-2
Simplify ---------> 5x^2=45
divide each side by 5 -----> 5x^2/5=45/5
Simplify x^2=9
Divide each side by using square root method --> Sqrt(9) - sqrt(9)
Now simplify to get X=3, or X=-3
Explain how to find 2 1/4 divided by 1 1/2!!
Answer:
1 1/2
Step-by-step explanation: