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.
Gabrielle is 11 years older than Mikhail. The sum of their ages is 107. What is Mikhail's age?
Answer:
Mikhail's age is 48
Step-by-step explanation:
Answer:
107-11=96
96÷2=48
so Mikhail is 48 years old
What is the value of the expression (25-7)x2 divided by 4+2
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{(25-7)(2)}{4}+2}[/tex]
[tex]\mathsf{25-7=\bf 18}[/tex]
[tex]\mathsf{\dfrac{\bold{18}(2)}{4}+2}[/tex]
[tex]\mathsf{18(2)= \bf 36}[/tex]
[tex]\mathsf{\dfrac{\bold{36}}{4}+2}[/tex]
[tex]\mathsf{\dfrac{36}{4}=\bf 9}[/tex]
[tex]\mathsf{\bold{9}+2 }[/tex]
[tex]\bold{= 11}[/tex]
[tex]\boxed{\large\textsf{Possible answer \#1: \bf 11 }}\huge\checkmark[/tex]
[tex]\huge\text{OR....}[/tex]
[tex]\mathsf{\dfrac{(25-7)(2)}{4+2}}[/tex]
[tex]\mathsf{25-7=\bf 18}[/tex]
[tex]\mathsf{\dfrac{\bold{18}(2)}{4+2}}[/tex]
[tex]\mathsf{18(2)=\bf 36}[/tex]
[tex]\mathsf{\dfrac{\bold{36}}{4+2}}[/tex]
[tex]\mathsf{4+2= \bf 6}[/tex]
[tex]\mathsf{\dfrac{36}{\bold{6}}}[/tex]
[tex]\mathsf{\bf = 6}[/tex]
[tex]\boxed{\large\textsf{Possible answer \# 2: \bf 6}}\huge\checkmark[/tex]
[tex]\boxed{\boxed{\large\text{{Answer(s): \bf Answer \#1: 11 OR Answer \#2: 6}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
It is reported that 56% of a state is experiencing drought conditions. An agricultural researcher randomly selects ten farmers in the state and asks if their farms are experiencing drought. What is the expected number of farmers who have experienced drought? Find the standard deviation.
Answer:
I think your answer would be 5.6
Step-by-step explanation:
56% of 10 = 5.6
How to make a triangle and 2 trapezoids out of a triangle
Answer:
Draw two lines inside the triangle.
Step-by-step explanation:
Like in the Attachment
Kristi has 2 ribbons that are the same length. She cuts each ribbon into 8 equal pieces. She uses 12 of the pieces to make bracelets. What fraction of the ribbon did she use?
PLZ HELP ASAP 50 PTS (MATH) + Brainliest
1) Factor the trinomial. Show ALL work:
x2 − 5x + 6
2) Factor the polynomial using grouping. Show ALL work:
5x3-2x2+25x-10
3( Determine the missing term from the perfect square trinomial. Show ALL work.
x2 − ______+ 36
Write in factored form: ( )2
4( Choose ONE of the following polynomial and factor completely, showing ALL work.
16x2 − 81
15x2 − 35
3x2 + 21x + 36
Answer:
x+3 and x+2( 5 x + 2 ) ( x 2 + 5 )9x^2+163x2 + 21x + 36Step-by-step explanation:
x2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.
Factoring polynomials by splitting the middle term:
We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.
On solving this we obtain, a = 3 and b = 2
Thus, the above expression can be written as:
x2 + 5x + 6
= x2 + 3x + 2x + 6
= x(x + 3) + 2(x + 3)
= (x + 3)(x + 2)
Thus, x+3 and x+2 are the factors of the polynomial x2 + 5x + 6.
For Step 1, you just want to find all combinations of two numbers that multiply together to be 56. Make sure you take negatives into account. Those pairs of numbers are:
(p, q, p+q)
(1, 56, 57)
(-1, -56, -57)
(2, 28, 30)
(-2, -28, -30)
(4, 14, 18)
(-4, -14, -18)
(7, 8, 15)
(-7, -8, -15)
Use those pairs of numbers and their sums to fill in the three columns of your table.
STEP 2 Look down your p+q column to find the pair of numbers that add up to equal to -15. That's (p, q) = (-7, -8). STEP 3 Using the information from steps 1 and 2, you can factor the trinomial like this: x2 - 15x + 56 = (x + p)(x + q) = (x - 7)(x - 8) FOIL that back out if you'd like, to make sure the expressions are equivalent. STEP 4 Hopefully, seeing steps 1 through 3 worked out will help you with step 4. Find all the pairs of numbers that multiply together to be 36 (1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6, and all their negative equivalents), then figure out which pair has a sum of 12. That means you've found your p and q, and can factor the trinomial as (x + p)(x + q).Answer:
1) Factor the trinomial. Show ALL work:
(x-2)(x-3) steps see explanation
2) Factor the polynomial using grouping.
Group and factor out the greatest common factor (GCF), then combine.
[tex](5x-2) (x^{2} +5)[/tex]
4) Choose ONE of the following polynomial and factor completely.
15x2 − 35 = [tex]5 (3x^2-7)[/tex]
Step-by-step explanation:
x2−5x+6
The middle number is -5 and the last number is 6.
Factoring means we want something like
(x+_)(x+_)
We need two numbers that
Add together to get -5
Multiply together to get 6
Try -2 and -3:
-2+-3 = -5
-2*-3 = 6
Fill in the blanks in
(x+_)(x+_)
with -2 and -3 to get...
(x-2)(x-3)
4( Choose ONE of the following polynomial and factor completely,
15x^2-35
35 as 5*7
15 as 5*3
= 5*3x^2-5*7
What is the area of the triangle? 13 5 12
Answer:29
Step-by-step explanation:
A) 9)___ + 7) = 18 + 63 B) ___(12 + 9) + 36 + 27 C) 8(___+7) = 24 + 56 D) ___(5 + 8) + 20 +32
Answer:
A) 9(2+7)
B) 3(12+9
C) 8(3+7)
D)4(5+8)
Step-by-step explanation:
A)
9*(x+7) = 18+63
9*(x+7) = 81
81/9 = x+7
9 = x+7
x = 2
B)
x*(12+9) = 36+27
x*(12+9) = 63
x*21 = 63
x = 63/21
x = 3
C)
8*(x+7) = 24+56
8*(x+7) = 80
x+7 = 80/8
x+7 = 10
x = 3
D)
x*(5+8) = 20+32
x*13 = 52
x = 52/13
x = 4
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer: The answer is 4 pieces of chalk
Answer:
7 chalks
Step-by-step explanation:
7 crosses are above numbers that are higher than 5
Someone please help me!
Answer:
x^2+y^2=25
Step-by-step explanation:
bc x-0=x and ect.
One number is seven more than four times another number. If the sum of the numbers is 22, find the numbers.
Answer:
the answer is actually study and you would know
Step-by-step explanation:
Answer:
3 and 19
Step-by-step explanation:
A marble is drawn at random from the bag shown below. The bag contains 3 green, 4 yellow, 5 blue, and 8 pink
marbles.
What is P(not yellow)?
A 1/5 B 2/5 C 4/5
Answer: c 4/5
Step-by-step explanation: out of 5 only four are chosen leaving us with an answer of 4/5 :D hope it helped
In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Fatoumata sets up a website where players
can buy and sell these costumes online. Information about the number of people who
visited the website and the number of costumes purchased in a single day is listed
below.
126 visitors purchased no costume.
228 visitors purchased exactly one costume.
34 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
exactly one costume as a decimal to the nearest hundredth.
Mk
Answer: 0.59
Step-by-step explanation:
The probability that the next person will purchase exactly one costume is 0.59.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of visitors = 126+228+34 = 388
Total number of visitors who purchased exactly one costume = 228
The probability = 228/388 = 0.587 ≈ 0.59
Thus, the probability that the next person will purchase exactly one costume is 0.59.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
Arthur earned $22.50 last night delivering lunches for his family's restaurant. He puts 30% of his earnings into his savings account. he then bought a magazine for $3.95 and a CD for $11.49. of the amount earned last night, how much money does arthur have left that is not in his savings account
Answer:
$4.26
Step-by-step explanation:
PLSS help me ☝............
Answer:
New Coordinates: G'(0,4) Y'(3,3) M(3,7)
Movement: Translation 3 units up
Step-by-step explanation:
Since you're adding to the y-coordinate, your points will move up which makes this a translation
You have collected weekly earnings and age data from a sub-sample of 1,744 individualsusing the Current Population Survey in a given year. Given the overall mean of $434.49and a standard deviation of $294.67, construct a 99% confidence interval for averageearnings in the entire population. State the meaning of this interval in words, ratherthan just in numbers. If you constructed a 90% confidence interval instead, would itbe smaller or larger? What is the intuition?
Answer:
The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.
Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{294.67}{\sqrt{1744}} = 18.17[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 434.49 - 18.17 = $416.42
The upper end of the interval is the sample mean added to M. So it is 434.49 + 18.17 = $452.66
The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.
If you constructed a 90% confidence interval instead, would it be smaller or larger? What is the intuition?
For a 90% confidence interval, we would have z = 1.645.
Looking at the margin of error formula, M and z are direct proportional, that is, as z decreases so does M. Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.
Write and solve an equation for the following.
Four more than one-half a number is three. What is the number?
Answer:
4+ [tex]\frac{1}{2}[/tex]x = 3
Step-by-step explanation:
4 + [tex]\frac{1}{2}[/tex]x = 3 (subtract 4 from both sides)
[tex]\frac{1}{2}[/tex]x = -1 (multiply both sides by 2)
x = -2
Answer:
4+ 1/2 x = 3
Step-by-step explanation:
X =-2
help pls, math due tonight :(
9514 1404 393
Answer:
40 ftt = 1 secondStep-by-step explanation:
A graphing calculator answers these questions easily.
The ball achieves a maximum height of 40 ft, 1 second after it is thrown.
__
The equation is usefully put into vertex form, as the vertex is the answer to the questions asked.
h(t) = -16(t^2 -2t) +24
h(t) = -16(t^2 -2t +1) +24 +16 . . . . . . complete the square
h(t) = -16(t -1)^2 +40 . . . . . . . . . vertex form
Compare this to the vertex form:
f(x) = a(x -h)^2 +k . . . . . . vertex (h, k); vertical stretch factor 'a'
We see the vertex of our height equation is ...
(h, k) = (1, 40)
The ball reaches a maximum height of 40 feet at t = 1 second after it is thrown.
What value of c makes x2 + 6x + c a perfect square trinomial?
3
6
9
12
9514 1404 393
Answer:
(c) 9
Step-by-step explanation:
The square of a binomial has the form ...
(x +a)² = x² +(2a)x +a²
You will note that the value of 'a' is half the coefficient of the x term (2a). The constant term is the square of the value of 'a'. This means the number you want is ...
c = (6/2)² = 9
Answer:
9
Step-by-step explanation:
The radius of a circle is 16 cm. Find its area in terms of \piπ
Answer256pi
Step-by-step explanation:
Area=pi*r^2
=pi*16^2
256pi
stream hala hala by ateez bye
stream on the ground and gone by rosé bye
URGENT WILL GIVE BRAINLIEST!!!!
Answer:
7/10
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
There is a total of ten numbers, and only seven of them are odd numbers (1, 3, 7, 9, 15, 19, 21)
You have a 70% chance of picking an odd number.
Andrew wrote the number 186,425 on the board. In which number is the value of the digit 4
exactly 100 times the value of the digit in the number Andrew wrote?
A 681,452
B 462,017
C 246,412
D 124,655
Answer:
C
Step-by-step explanation:
The four is in the hundreds so times one hundred it'd be in the 10,000 so it is C.
the length of rectangular park is 15 m longer than that of the park is 114m find it's length and breadth
Answer: Length: ≈20.5 Breadth: ≈5.5
Step-by-step explanation: x(x+15)=114, solving for x we get 5.547 and 20.547.
please help me thanks
Answer:
D
Step-by-step explanation:
Answer:
each person gets 2 1/2
Step-by-step explanation:
You divide and get 2 1/2
the answer is D
Need help on em punett sqaures
Answer:
Black Fur: 100% White Fur: 0%
Step-by-step explanation:
B B
b Bb Bb (all dominant)
b Bb Bb
Black Fur: 100% White Fur: 0%
Answer:
B B
______
b | Bb | Bb |
b | Bb | Bb |
_____
Phenotype Probability (%):
Black Fur: 100%
White Fur: 0%
_____________________
Which statement is accurate for the right triangle shown below?
Ꮎ
50
1
a
47
Answer:
The statement that is accurate is csc(θ)=1.06
Step-by-step explanation:
Looking at the reference angle in this triangle, we can see that the side that is 47 units is opposite of it, the side that is 50 units is the hypotenuse, and the side that is 17 units is adjacent to it.
Because we know this, we can plug our sides into the formula for cscθ, secθ, and cotθ.
So:
cotθ=adjacent/opposite = 17/47= 0.36
cscθ=hypotenuse/opposite = 50/47=1.06
Now without even looking at the other statements, we can see that the second one is correct as cscθ=hypotenuse/opposite = 50/47=1.06
Therefore, the statement that is accurate is csc(θ)=1.06.
Find the unknown number 3m = 0.27
Answer: 0.09
Step-by-step explanation:
Divide 0.27 by 3
M=.09
Matt is baking cookies.
He uses butter, sugar and flour in a ratio of 2 : 3 : 4
Matt uses 300 g of flour.
How much sugar does he use?
what is 1000x45 how do i get the anwser
Answer:
45000
Step-by-step explanation:
put the equation like this
1000
x 45
And multiple form right to left or just take 45 and add 3 0's because anything multiplied by 1 is what number u multiplied it by
Answer:45000
Step-by-step explanation:
so you know that 10x45=450 just add 2 more zeros and thats ur answer may i be marked brainliest