Step-by-step explanation:
Answer:
The initial mass of the sample was 16 mg.
The mass after 5 weeks will be about 0.0372 mg.
Step-by-step explanation:
We can write an exponential function to model the situation.
Let the initial amount be A. The standard exponential function is given by:
P(t)=A(r)^tP(t)=A(r)
t
Where r is the rate of growth/decay.
Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:
\displaystyle P(t)=A\Big(\frac{1}{2}\Big)^{t/4}P(t)=A(
2
1
)
t/4
After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.
Therefore, when x = 12, P(x) = 2. By substitution:
\displaystyle 2=A\Big(\frac{1}{2}\Big)^{12/4}2=A(
2
1
)
12/4
Solve for A. Simplify:
\displaystyle 2=A\Big(\frac{1}{2}\Big)^32=A(
2
1
)
3
Simplify:
\displaystyle 2=A\Big(\frac{1}{8}\Big)2=A(
8
1
)
Thus, the initial mass of the sample was:
A=16\text{ mg}A=16 mg
5 weeks is equivalent to 35 days. Therefore, we can find P(35):
\displaystyle P(35)=16\Big(\frac{1}{2}\Big)^{35/4}\approx0.0372\text{ mg}P(35)=16(
2
1
)
35/4
≈0.0372 mg
About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.
Distributive property help me out
Answer:
(7 x 3) + (7 x 1)
Hi! I would like some help with this problem please? It would be grateful
Answer:
16
Step-by-step explanation:
Since the ratio is constant, you can do divisions here.
4/3 = 4/3
6/8 = 4/3
Etc.
From here, you take 12, and multiple it by 4/3, and get 16.
Answer:
16 is the missing number.
Step-by-step explanation:
Have a great day. :-)
and can I please have brainliest?
can someone help please?
Answer:
This is a tricky problem, don't feel bad for not knowing this :/ I think this is too much in one question even :P I'll give you the answers and how to get them but really it's going to be a lot to understand in one try. Pay attention :P
Step-by-step explanation:
first graph the given table .. I use Desmos b/c it's handy
we want y = A[tex]x^{2}[/tex] + bx + c
given 1st 2nd
5 -5 2
0 -3 2
-3 -1 2
-4 1 2
-3 3 2
0 5 2
5 7
12
A=2nd / 2 = 2/2 = 1
B=?
C= 5
x=1
y=12
y = a[tex]x^{2}[/tex] + bx +c
12=[tex]1^{2}[/tex] + b(1) +5
12=1+ b +5
6=b :)
y = [tex]x^{2}[/tex] + 6x +5 ( the answer to a) in the question )
factor it
(x+5)(x+1) ( answer to b) in the question
vertex form
y = a(x-h)2 + k
where h = −b/2a
and k = f( h )
h=6/2(1) = 3
k = [tex]3^{2}[/tex] + 6(3) +5
k=32
y =x-3 + 32 ( answer to c) in question )
let me know if this worked for you :) ( I did this fast late at night :/ )
Jay needs at least 5,000 points to be nominated for MVP she currently has 3800. Write an inequality to find P the total amount of points Jane needs to be nominated for MVP solve and explain your strategy and process in detail.
Answer:
1200
Step-by-step explanation
3800+p=5000
5000-3800=1200
a theater has 50 seats in the front row. there are 4 additional seats in each row after that. how many seats are in the 20th row?
Answer:
126
Step-by-step explanation:
The number of seats in each row can be expressed in the sequence
50, 54, 58, 62, ..... ,
This is an arithmetic sequence with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 50 and d = 4 , then
a₂₀ = 50 + (19 × 4) = 50 + 76 = 126
That is there are 126 seats in the 20th row
The weight of one serving of chips is 2 1/4 oz. How many servings are there in a 22 1/2 oz bag of chips?
Answer:
22 1/2 ÷ 2 1/4 = 10 servings
Kendra has a painting canvas that is 27 inches wide by 32 inches high. She painted a red rose, which covered 40% of the canvas.
What was the area of the canvas which was covered by the red rose?
A.
138.24 in2
B.
864 in2
C.
43.2 in2
D.
345.6 in2
Answer:
D
Step-by-step explanation:
27*32=864
40%/100%=0.4
0.4*864=345.6
Andie has a blue sweater, a red sweater, and a purple sweater. She has
a white shirt and a tan shirt. How many different ways can she wear a
sweater and a shirt together?
Answer:
Step-by-step explanation:
blue sweater white shirt
red sweater white shirt
purple sweater white shirt
blue sweater tan shirt
red sweater tan shirt
purple sweater tan shirt
so it is 6
Pls help me i need help fast
Answer:
40%
Step-by-step explanation:
30p Add up the total number of plants
12L we can see that lettuce is equal to 12
12/30 =0.4 or 40%
Jenna likes to exercise outdoors. The exercises from which she choose are riding her bike, rollerblading, jogging, and walking. For each exercise, she can do laps are a high school track, on a paved trail in the park, or around the block in her neighborhood. How many different combination of exercises and locations can Jenna create?
13
12
4
3
12 different combination of exercises and locations can Jenna create.
What is Combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.
We have,
Jenna likes to exercise outdoors. The exercises from which she choose are riding her bike, rollerblading, jogging, and walking.
So, the possible combination are
= 4 x 3
= 12
Learn more about Combination here:
https://brainly.com/question/13387529
#SPJ2
PLEASE HELP: GRADE 7th MATH
9) What is the equation of the
function y = 3/x translated 6
units to the right and 2 units
down?
Answer:
-2 = 3/6
Explanation:
6 units the right would be the X, and 2 units down would be the Y.
Answer:
y'' = 3/(x - 6) - 2Step-by-step explanation:
Given function
y = 3/xTranslation 6 units to the right:
f(x) → f(x - 6)y' = 3/(x - 6)Translation 2 units down:
f(x) → f(x) - 2y'' = 3/(x - 6) - 2How do you solve what is 2/3 of 3/4?
Answer:
0.5
Step-by-step explanation:
what are 3 online websites I can take pictures on with, without saving to ur device , it stays on that site and its just for u?
the only one i can think of at the moment in pinterest
Step-by-step explanation:
sorry thats all i can think of
help please!!!!!!!!!!!!!
Answer:
dude i tried to answer this one for weeks on end, sorry i wasnt much help
Step-by-step explanation:
Please help, I’ll give brainliest, thumbs up, 5 stars!!!
Answer:
1. 63.64
2. 54 in
3. 18 in
4. 20.25
5. 168
6. 6 cm
Step-by-step explanation:
Please help!!!! asap
The linear model P=3.75g+1.5 predicts the total cost, P, in dollars, to purchase g gallons of gas at a gas station. Based on the linear model, how much should it cost to purchase 12 gallons of gas?
Answer:
Answer is 46.50
Step-by-step explanation:
I look everywhere and said it was this hehe
Equivalent expression standard form of (2x+5)(x+1)
Which of the following types of credits would best describes home equity loans?
a.
closed and secured
b.
closed and unsecured
c.
open and secured
d.
open and unsecured
The types of credits would best describes home equity loans as open and secured. Check more about credit below.
What is the open-end credit about?An open-end credit, is known to be a credit where a person can keep using the same type of credit as long as they want only when they make the minimum monthly payments every month and at the right time.
Conclusively, these types of credits would best describes home equity loans as open and secured is one does not have limits as long as one meet up with the payment monthly.
Learn more about credits from
https://brainly.com/question/27081720
Every morning, Halle goes to a school with a 1-liter bottle of water. She drinks 1/4 of the bottle before school starts and 2/3 of the rest before lunch.
a. What fraction of the bottle does Halle drink after school starts but before lunch?
Answer:
1/2
Step-by-step explanation:
1 L -1/4=3/4
3/4×2/3=1/2
what's the value of given expression
[tex] \sqrt{90 + 54} [/tex]
Answer:
12
Step-by-step explanation:
help me if you can thank you
Answer:
3rd one is right answers so just put that only
Answer: A and B
Step-by-step explanation:
What is the solution of x2+x-6/x-7_<0
Answer:
x < -3 or 2 < x < 7
Step-by-step explanation:
PLEASE HELP! URGENT!! I'LL GIVE BRAINLIEST!!
Answer:
The ones that are checked are correct, I think they are they ones you chose.
what is 60=12x
answer fast!
Answer:
x=5
Step-by-step explanation:
can someone help please?
Answer:
Step-by-step explanation:
Vertex of the given parabola = (1, -4)
Since, vertex form of a parabola is given by,
y = (x - h)² + k
Here (h, k) is the vertex
Now substitute the coordinates (1, -4) in the equation.
y = (x - 1)²- 4 [Vertex Form]
Further solve this equation,
y = x² - 2x + 1 - 4
y = x² - 2x - 3 [Standard form]
Further write this equation in the factored form,
y = x² - 3x + x - 3
y = x(x - 3) + 1(x - 3)
y = (x + 1)(x - 3) [Factored form]
IF a=5 b=-3 c=4 what is 1] 3a +2b 2]4c + 3b 3]a+b+c
Step-by-step explanation:
1.
[tex]3(5) + 2( - 3) = 15 - 6 = 9[/tex]
2.
[tex]4(4) + 3( - 3) = 16 - 9 = 7[/tex]
3.
[tex]5 + ( - 3) + 4 = 6[/tex]
Using our formula y2-y1/x2-x1, find the slope of a line through two ordered pairs show your work (-3,-4)(4,5)
Given:
The two points are (-3,-4) and (4,5).
To find:
The slope of the line that passes through the given points.
Solution:
The slope formula is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The line passes through the points (-3,-4) and (4,5). So, the slope of the line is
[tex]m=\dfrac{5-(-4)}{4-(-3)}[/tex]
[tex]m=\dfrac{5+4}{4+3}[/tex]
[tex]m=\dfrac{9}{7}[/tex]
Therefore, the slope of the given line is [tex]m=\dfrac{9}{7}[/tex].
How do you find the circumference of a circle with a diameter of 21 inches?