Answer:
The equation is [tex]A(t) = 0.52*(0.9885)^{(t)}[/tex].
0.4713 grams would remain in the tumor after 8.5 days.
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the amount of a substance that decays, after t days, is given by:
[tex]A(t) = A(0)*(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
A tumor is injected with 0.52 grams of Iodine-125.
This means that [tex]A(0) = 0.52[/tex]
After 1 day, the amount of Iodine-125 has decreased by 1.15%.
This means that [tex]r = 0.0115[/tex]
So
[tex]A(t) = A(0)*(1-r)^t[/tex]
[tex]A(t) = 0.52*(1-0.0115)^t[/tex]
[tex]A(t) = 0.52*(0.9885)^t[/tex]
Then use the formula for A(t) to find the amount of Iodine-125 that would remain in the tumor after 8.5 days.
This is A(8.5).
[tex]A(t) = 0.52*(0.9885)^t[/tex]
[tex]A(8.5) = 0.52*(0.9885)^{8.5} = 0.4713[/tex]
0.4713 grams would remain in the tumor after 8.5 days.
Write and equation and solve it for the following:
Seven more that twice a number is 25. What is the number?
Answer: Equation: 2n+7=25 Number: n=9
Step-by-step explanation: Twice a number is 2 × n= 2n. 7 more is +7. Hence we get 2n+7=25. Subtract 7 from both sides then divide by 2 and we get 9!
Answer:
9
Step-by-step explanation:
Work backwards
25 - 7 = 18
18 ÷ 2 = 9
You can solve the problem normally to check.
9 × 2 = 18
18 + 7 = 25
That proves that the answer is right. Hope this helps you! Let me know how you did!
Pls help because I’m not sure
B
Step-by-step explanation:
Which statement is true?
4
O A. As the value of a positive number
increases, the absolute value of
the number decreases.
O B. As the value of a positive number
decreases, the absolute value of
the number increases.
O C. As the value of a negative number
increases, the absolute value of
the number decreases.
5
O D. As the value of a negative number
decreases, the absolute value of
the number decreases.
option D is true statement. that is the absolute value of the negative number will decreases with decreases in negative number.
What is Absolute value of a number?
Absolute value describes the distance from zero that a number is on the number line, without considering its direction that is the absolute value of a number is never negative.
In other words Absolute value is the modulus of any number.
A ) False : the absolute value of the positive number will increase with increase in positive number.
B ) False : the absolute value of the positive number will decreases with decreases in positive number.
C) False : the absolute value of the negative number will increase with increase in negative number.
D) TRUE: the absolute value of the negative number will decreases with decreases in negative number.
Therefore, option D is true.
Read more about absolute value at:
https://brainly.com/question/1301718
#SPJ2
My sis got stuck on these can you tell me the answer.
Answer:
you are supposed to guess how many inches the objects are after. that you need you to ACTUALLY measure them and round to the nearest inch. half of an inch and a forth of an inch
Step-by-step explanation:
here is an example so if it measures 2.25 inches it would be
nearest inch:2 inches
nearest 1/2 inch: 2 inches
nearest 1/4 inch: 2. 25 inches
write the equation of the line represented by y = 2/3x - 5 in standard form.
Answer:
2x−3y=15
Step-by-step explanation:
Which following relations represent a function
Answer:
I think that actually all of them represent a function , except D .
hope it was helpful .
Is 7 a factor of 18y + 27z?
Answer:
no
Step-by-step explanation:
Answer:
No, it can't be factored
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST!!! No links and serious answers only!!
2. Write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. Show all your work, including the points used to determine the slope and how the equation was determined.
3. What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
4. Test the residuals of two other points to determine how well the line of best fit models the data.
5. Use the line of best fit to help you to describe the data correlation.
6. Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?
7. According to your line of best fit, what is the arm span of a 74-inch-tall person?
The students in two English classes were asked how many minutes they read each day.
Answer:
Step-by-step explanation:
what are the answers to choose from
let X represent the amount of time till the next student will arriv ein the library partking lot at the university. If we know that the dstubtion of arrivlal time can be modeled using an exponential distruibution with a mean of 4 minutes, find the probabiity that it will take between 2 and 132 minutes for the net sutedn to arrive at the library partking lot 0.606531
Answer:
0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
Mean of 4 minutes
This means that [tex]m = 4, \mu = \frac{1}{4} = 0.25[/tex]
Find the probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot:
This is:
[tex]P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2)[/tex]
In which
[tex]P(X \leq 132) = 1 - e^{-0.25*132} = 1[/tex]
[tex]P(X \leq 2) = 1 - e^{-0.25*2} = 0.393469[/tex]
[tex]P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2) = 1 - 0.393469 = 0.606531[/tex]
0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.
The law of large numbers tells us what happens in the long run. Like many games of chance, the numbers racket has outcomes so variable - one three-digit number wins $600 and all others win nothing - that gamblers never reach the long run. Even after many bets, their average winnings may not be close to the mean. For the numbers racket, the mean payout for single bets is $0.60 (60 cents) and the standard deviation of payouts is about $18.96. If Joe plays 350 days a year for 40 years, he makes 14,000 bets.
Required:
a. What is the mean of the average payout x that Joe receives from his 14,000 bets?
b. What is the standard deviation of the average payout x that Joe receives from his 14,000 bets?
c. What is the approximate probability that Joe's average payout per bet is between $0.50 and $0.70?
Answer: (a) The mean and standard deviation of the average payout that Joe receives from his 14,000 bets are $0.60 and $0.1602 respectively.
(b) The probability that Joe's average payout per bet is between $0.50 and $0.70 is 0.4647.
Step-by-step explanation:
Let X = average payout of a bet.
The mean of the random variable X is, μ = $0.60.
The standard deviation of the random variable X is, σ = $18.96.
The number of total bets made is, n = 14000.
Since n = 14000 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample mean.
Thus, the mean and standard deviation of the average payout that Joe receives from his 14,000 bets are $0.60 and $0.1602 respectively.
Compute the probability that Joe's average payout per bet is between $0.50 and $0.70 as follows:
=P (-0.62 < Z < 0.62)
= P (Z < 0.62) - P(Z < -0.62)
= P (Z < 0.62) - [1-P (Z < 0.62)
= 2P (Z < 0.62) - 1
= (2 x 0.73237) - 1
= 0.46474
≈ 0.4647
The cost of 12 oranges and 7 apples is 5.36. Eight oranges and 5 apples cost 3.68. Find the cost of each
I have four bags of small chocolate
eggs, with each bag containing an equal
number of eggs and weighing 0.36kg
I hide the eggs in the garden
24 children search for the eggs and each
finds 3 eggs. They found all of the eggs
How much does
each egg weigh
in grams?
20 grams
Step-by-step explanation:
24× 3 = 72 eggs then convert kg to grams 0.36 × 1000 = 360 grams × 4 = 1440 grams after that 1440 ÷ 72 = 20 grams
Answer:
total number of eggs = 3×24= 72eggs
number of eggs in each bag = 72/4=18 eggs
Each egg will weigh, 0.36/18
= 0.02kg
= 0.02×1000
=20g
Find the area of the figure below, formed from a triangle and a rectangle, in square centimeters.
2 cm
10 cm
6 cm
8 cm
O 68 square centimeters
34 square centimeters
44 square centimeters 58 square centimeters
Answer:68
Step-by-step explanation:
( 25 points because nobody is answering it!!!!!!! ive posted this question like 4 other timesssss)
During an experiment, the temperature of a liquid increased 6 degrees in 30 minutes. The temperature increased at a steady rate.
By how much did the temperature increase every minute?
Answer:
0.2
Step-by-step explanation:
[tex]\frac{6}{30} =\frac{x}{1} \\\\30x=6\\\\x=\frac{6}{30} \\\\x=\frac{1}{5}[/tex]
1/5 = 0.2
Answer:
the temperature increase is 0.2 degrees per minute
Step-by-step explanation:
Solve x2 – 8x = 20 by completing the square. Which is the solution set of the equation?
{–22, 14}
{–14, 22}
{–10, 2}
{–2, 10}
Answer:
The answer is D. (-2,10)
Step-by-step explanation:
Answer:
The Answer is D. -2, 10 :P
Step-by-step explanation:
The person above is correct as well! Hope this helps :)
LOOK AT THE PHOTO PLEASE
Answer:
The answer to the question provided is 11.
Step-by-step explanation:
[tex] \: \: \: \: \: 5x + 9 = 6x - 2 \\ \frac{ - 5x \: = - 5x }{9 = 1x - 2} \\ \frac{ + 2 \: \: \: \: = + 2}{ \frac{11}{1} = \frac{1x}{1} } \\ 11 = x[/tex]
[I apologize if the answer to the question provided is inaccurate]
A fair spinner has the numbers 1-4. What is the theoretical probability of getting a 2
Answer:1-5
Step-by-step explanation:Assuming the spinner is numbered 1–5 and has an equal chance of landing on any number, you have two independent probabilities, each 1 in 5.
Just multiply those: 1/5 * 1/5 = 1/25. You have a 4% chance of getting 2 twice.
Of course, if there’s anything special about spinning “2”, you’ll be keyed to watch for it after getting 2 the first time. Now there’s a 20% chance (1 in 5) you’ll spin it again, and you’ll be very excited that you got 2 twice in a row. Another way of saying that is that the probability of something that has already happened is 100%.
The manager of a restaurant recorded how many people are in different groups of customers and how much does group spent on food and beverages. The scatterplot below shows the date if she recorded. Based on this scatterplot, about how much money would a group of 10 people be expected to spend on food and beverages at this restaurant?
Answer:
$135
Step-by-step explanation:
,........................................................................................l
hi can I send a screenshot?
Answer:
Yeah
Step-by-step explanation:
☁️ Answer ☁️
Yes! Send a screenshot and ask ur question
PLEASE ANSWER THE PIC BELOW
Answer: 11
Step-by-step explanation:
Since the equation of circumference is 2(r)pi
if 22pi=2(r)pi
then 22=2r
22=2r
r=11
Please help question in the picture
Answer:
64 m²
Step-by-step explanation:
Area of the trapezoid = ½(a + b)h
Where,
a = 6 m
b = 10 m
h = 8 m
Plug in the values
Area = ½(6 + 10)*8
Area = ½(16)*8
Area = 8*8
Area = 64 m²
i need help with these 2 questions.
Answer:
Step-by-step explanation:
6). Surface area of a triangular prism = Area of the triangular bases + (Perimeter of the triangular base)×height
Area of one triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}\times 4\times 3[/tex]
= 6 km²
Perimeter of the triangular base = (4 + 3 + 5)
= 12 km
Height of the triangular prism = 7 km
Surface area of the given triangular prism = 2(6) + (12)(7)
= 12 + 84
= 96 km²
7). Surface area of a rectangular prism = 2(lb + bh + hl)
Here, l = Length, b = Width and h = Height
By substituting the values from the given question,
l = 9 in, b = 9 in, h = 4 in
Surface area of the rectangular prism = 2(9×9 + 9×4 + 4×9)
= 2(81 + 36 + 36)
= 2(153)
= 306 in²
5 divided by 1/4
go straight to the answer
Answer:
20
Step-by-step explanation:
Will give brainliest
Find the area of this triangle.
Round to the nearest tenth.
8 m
62°
12 m
[?] m2
Answer:
A, 1/2*b*h*sin
A, 1/2*12*8*sin 62
=43.3
Also use symbolab for this kid equations
Step-by-step explanation:
Help plz
No Link
No false answers
A bird is flying 25 mph. How long will it take to travel
120 miles?
Answer: 4 hours and 48 minutes
Step-by-step explanation:
120 miles divided by 25 mph
= 4.8
= 4 hours
0.8 x 60
= 48 mins
0 x 60 = 0
PLEASE HELP ME WITH THIS PROBLEM
Does anyone know this please help
Answer:
b.12/25
c.4/15
d.8/15
e.6/12
2a.15/24=5/8
b.20/40=1/2