Answer:
120.91 grams
Step-by-step explanation:
multiply the initial amount by the percent that will remain to the power of n-1, n being the term number, or how many days that have passed.
f(x)=1000(0.85)^14-1
The mass of the radioactive sample at the beginning of the 10th day of the experiment is 221.30 grams if the mass was decreasing by 14% per day.
What is exponential decay?During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We have:
Mass of the substance = 1000 grams
Rate of decay = 14% per day = 0.14
Let's suppose the mass is m at the beginning of the 10th day of the experiment.
The equation for the exponential decay:
[tex]\rm E = m(1-r)^t[/tex]
[tex]\rm m = 1000(1-0.14)^1^0[/tex]
m = 1000×0.22130
m = 221.30 grams
Thus, the mass of the radioactive sample at the beginning of the 10th day of the experiment is 221.30 grams if the mass was decreasing by 14% per day.
Learn more about the exponential decay here:
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please find the Equations PLEASE
Answer:
9) y = -x
10) y = -3/2x + 12
11) y = 3/4x - 5
12) y = -2/3x
Based on this triangle, which one of the following statements is true? (Note: the triangle is not drawn to scale)
[PLEASE LEAVE A SMALL EXPLANATION ILL MARK BRAINLIEST]
Answer:
A
Step-by-step explanation:
All triangles angles add up to 180°
PLZ help: The theoretical probability that a pop song plays on your MP3 player is 0.45. There are 80 songs on your MP3 player. How many of the songs are pop songs?
Answer:
36
Step-by-step explanation:
80 * .45 = 36
Answer:There are 36 pop songs on your playlist
Step-by-step explanation:
A recipe calls for 1/2 lb of flour for 1 batch. How many batches can be made with 1/4 lb?
Answer:
1/2 batch
Step-by-step explanation:
1/2=1
1/4=1/2
Answer:
1/2 batches
Step-by-step explanation:
Please see the attached image.
I hope this helps!
Please answer
If it takes 4/5 hours to mow 1/4 of the lawn, how much time does it take to mow the entire lawn?
A. 5/16 hr
B. 5/8 hr
C. 21/20hr
D.16/5hr
Step-by-step explanation:
it will take 21/20hours
URGENT PLEASE HELP GIVE RIGHT ANSWER.
Answer:
its negative 8
Step-by-step explanation:
you can see it there
Express the limit as a definite integral on the given interval. lim n→[infinity] n xi ln(1 + xi2) Δx, [2, 7] i = 1
Answer:
Step-by-step explanation:
[tex]Consider \ the \ following \ series[/tex]
[tex]\lim_{n \to \infty} \sum \limits ^n_{i=1} x_i \ In ( 1+ x_i^2) \Delta x , [2,7][/tex]
[tex]Let's \ recall \ the \ explanation \ of[/tex] d[tex]efinite[/tex] [tex]\ integral \ in \ terms \ of \ Riemann \ sum[/tex]
[tex]\int^b_a \ f(x) \ dx = \lim_{n \to \infty} \sum \limits ^n_{i=1} \ f(x_i) \Delta x , \ where \ \Delta x = \dfrac{b-a}{n}[/tex]
[tex]By \ efinition, \ the \ limit \ is \ then \ expressed \ as \ integral[/tex]
[tex]\lim_{n \to \infty} \sum ^a_{i=1} \ x_i \ In (1+x_i^2) \Delta x = \int^7_2 xIn (1+x^2) \ dx[/tex]
Bob is 17 years older than john. In 5 years, the sum of their ages will be 51. Find their current age
solve the equation
58 = 9x - 5
Answer:
x=7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Let's solve your equation step-by-step.
58=9x−5
Step 1: Flip the equation.
9x−5=58
Step 2: Add 5 to both sides.
9x−5+5=58+5
9x=63
Step 3: Divide both sides by 9.
9x/9 = 63/9
x=7
please helllppp its in the picture and due in 5 mins
Answer:
it is a it's a
Step-by-step explanation:
Answer:
D (I think)
Step-by-step explanation:
If you multiply -4 times -2 you get positive 8 and the five stays the same so it would be 8/5. If you multiply -4 times 3x you would get -12x. So the total equation would read 8/5 - 12x
I NEED HELP ITS DUE IN A FEW MINUTES HHHHEEELLLLPPP
Answer:
Question 11 - B
Question 12 - C
Step-by-step explanation:
11). 4 chairs per table --> B
120/30 = 412). The 24 pack is a better buy (C).
12 pack - 0.3333 per can24 pack - 0.3125 per can <-- cheapersomeone help pls thank u
Which expression is equivalent to (9^-2)^8
a. -81^32
b. 1/9^16
c. 1/9^10
d. 81^8
Answer: B
Step-by-step explanation: Used a calc
Which points are solutions to the system of inequalities? Select ALL that apply.
(-2, 4)
(2, -1)
(3, 1)
(0, 0)
(0, -1)
Answer:
0,0
2,-1
-2,4
Step-by-step explanation:
Guys.. I’m going to get held back, I. Need. Help.
Answer:
1). -12
2). -6
Hope this helps<3
WILL GIVE THE BRAINIEST AND 50 POINTS!!!
Walmart sells colored pencils for $0.75 a box, spiral notebooks for $3 each, and pencil boxes for $1.20 each.
a. If Jack and his two sisters all buy one of each item, what will be the total cost?
b. Their dad game them a total of $30.00. How much would they have left after they purchase these school supplies?
After Thanksgiving, Allie’s family has 1/4 of a pumpkin pie left. If Allie is allowed to eat
1/6 of what is left on Friday, what fraction of the original pie can Allie eat on Friday?
Answer:
1/24
One fourth of 1/6 is 1/24
Compare the numbers
0.4 and 0.19
<
>
+
Answer:
0.4 > 0.19
Step-by-step explanation:
you can view it as 40 and 19, so which is bigger 40 or 19?
i don’t understand, what’s the answer to this pleaseeee
Answer:
I don't know the answer but I suggest u get help from a tutor
they help a LOT
Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions
that a randomly chosen student answered correctly. Here is the probability distribution of X along with
summary statistics:
0
1
2
2.
3
X = # correct
P(X)
0.05
0.20
0.50
0.25
Mean: Hex = 1.95
Standard deviation: Ox 0.8
Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give
every student 5 additional bonus points. Let Y represent a random student's score.
What are the mean and standard deviation of Y?
Hy =
points
Oy
points
Answer:
24.5 points
8 points
Step-by-step explanation:
khan academy
The mean is 1.95 and the standard deviation is 2.41 for the given distribution.
What is the standard deviation?A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.
The given data as :
Correct question (x) Probability
0 0.05
1 0.20
2 0.50
3 0.25
In this scenario, we must calculate the mean, which is the product of the correct question and the probability. The mean will then be subtracted from the correct question. multiply the difference between the correct question and the mean by probability. This indicates the pay variance. off's The standard deviation of the distribution is given by taking the square root of the variance of the correct question.
Mean = 0 × 0.05 + 1 × 0.20 + 2 × 0.50 + 3 × 0.25
Mean = 1.95
Variance = (0 - 1.95)² + (1 - 1.95)² + (2 - 1.95)² + (3 - 1.95)²
Variance = 3.8025 + 0.9025 + 0.0025 + 1.1025
Variance = 5.81
Standard deviation = √(Variance)
Standard deviation = √(5.81)
Standard deviation = 2.41
Thus, the mean is 1.95 and the standard deviation is 2.41 for the given distribution.
Learn more about the standard deviation here:
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What is the diameter of this circle? A) 2 cm B) 3.14 cm C) 4 cm D) 8 cm
Answer:
The answer is c
Step-by-step explanation:
Well, since the Circle is 8cm you can divide the circle by two to get 4
Sue answer 43 out of 60 questions correctly. What percentage of her answers are incorrect round the percentage to one Decimal Place.
Answer: 28.3 %
Step-by-step explanation:
60-43 = 17
17/60 = 0.283
A dinner bill for jeff came out $21.00.Jeff paid a total of $24.00 including tip.How big of a tip did jeff leave,as a percentage of the original bill?
Fill in the blank with a percent .Round your percent to whole numbers like 11%
Jeff left a tip of %
To begin a bacteria study, a petri dish had 2300 bacteria cells. Each hour since, the number of cells has
increased by 7.2%.
Lett be the number of hours since the start of the study. Let y be the number of bacteria cells.
Write an exponential function showing the relationship between y and t.
PLEASE HELP :)
Answer: [tex]y= 2300(1.072)^t[/tex]
Step-by-step explanation:
The exponential growth equation : [tex]y=A(1+r)^t[/tex] , where A=initial value, r= rate of growth , t= time.
Given: A = 2300, r= 7.2% = 0.072
Let t be the number of hours since the start of the study. Let y be the number of bacteria cells.
then, the exponential function showing the relationship between y and t will be:
[tex]y= 2300(1+0.072)^t\\\\\Rightarrow\ y= 2300(1.072)^t[/tex]
Bananas cost $3 a bunch and apples cost $0.50 each. If b represents the number of bunches of bananas and a represents the number of apples, which of the following expressions represents the total cost?
Answer:
it's 3a+.50b
Step-by-step explanation:
what is 30% as a fraction in simplest form and as a decimal to the nearest hundredtgh
Answer:
fraction-3/10
decimal-.3
Answer:
Step-by-step explanation:
There are a few ways you could look at this, but this is the way that I prefer:
A percent is essentially already a fraction out of 100. 100% = 1. Therefore, 30% = [tex]\frac{30}{100}[/tex].
To simplify this, divide the top and the bottom by 10. This equals [tex]\frac{3}{10}[/tex]. Because 3 is a prime number and 10 is not divisible by 3, this is completely simplified.
To find the percent of any fraction, the easiest way is to simply divide the top by the bottom.
3/10 = 0.3
This is your final answer, as there is no number in the hundredth place or beyond to concern yourself with.
8 Classes
G how to change you..
3. Using the graph provided determine the experimental probability,
expressed as a reduced fraction, of rolling 1 or 5 when a number cube is
rolled 50 times.*
20 points
Number Cube Experiment
14
12
10
10
9
8
6
Number of Rolls
O NO
6
2. 3
5
Number Showing
Answer:
14
Step-by-step explanation:
6y + 12x + 4y - 9x - 3x
Combining like terms
I need some help!
Answer:
10y
Step-by-step explanation:
Which triangles are congruent by SAS?
Answer: VTU and HGF
Step-by-step explanation:
HELP PLZ 20 POINTSSSS
Answer:
cube................
Answer:
A)
Step-by-step explanations: