Answer:
464 grams.
Step-by-step explanation:
Amount of substance:
The amount of substance after t years is given by an equation in the following format:
[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.
Co-60 has a half life of 5.3 years.
This means that:
[tex]A(5.3) = 0.5A(0)[/tex]
We use this to find r. So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]0.5A(0) = A(0)(1-r)^{5.3}[/tex]
[tex](1-r)^{5.3} = 0.5[/tex]
[tex]\sqrt[5.3]{(1-r)^{5.3}} = \sqrt[5.3]{0.5}[/tex]
[tex]1 - r = 0.5^{\frac{1}{5.3}}[/tex]
[tex]1 - r = 0.8774[/tex]
So
[tex]A(t) = A(0)(0.8774)^{t}[/tex]
If a pellet that has been in storage for 26.5 years contains 14.5g of Co-60, how much of this radioisotope was present when the pellet was put in storage?
We have that [tex]A(26.5) = 14.5[/tex], and use this to find A(0). So
[tex]A(t) = A(0)(0.8774)^{t}[/tex]
[tex]14.5 = A(0)(0.8774)^{26.5}[/tex]
[tex]A(0) = \frac{14.5}{(0.8774)^{26.5}}[/tex]
[tex]A(0) = 464[tex]
464 grams.
.nooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
Answer: What is this free?
Answer:
yes
Step-by-step explanation:
yes+yes(no-no)
=yes
Value of ratio 3/4 to 2
Answer:
3/8 or 0.375
Step-by-step explanation:
0.75/2 = 3/8
Which is the better deal?
Box of Cheerios
48 oz for $3.99
36 oz for 2.59
12 oz for 1.99
48 oz?
Step-by-step explanation:
I don't know if you are just asking or what not but I belive it is 48 ozs but I could be wrong
Answer:
36oz for 2.59
Step-by-step explanation:
Try doubling each possible answer (largest isn't required):
36oz for 2.59 doubled is 72oz for 5.18.
12oz for 1.99 doubled is 24oz for 3.98.
The clear answer is 72oz for 5.18 instead of 48oz for 3.99.
PLEASE HELP ILL GIVE BRAINLIEST FOR BEST ANSWER!!
Palindrome numbers are numbers that read the same forward or backward. here are some palindrome numbers: 11, 121, 75257, and 1234321. The smallest three digit palindrome is 101. How many palindrome numbers are there between 10 to 1000?
Use the table to write a linear function that relates y to I.
X
-2
0
2
4
y
-7
- 7 - 7
- 7
=
10
Answer:
y = -7
Step-by-step explanation:
✔️Find the slope (m) using any two pairs of values, say (0, -7) and (2, -7):
Slope (m) = ∆y/∆x = (-7 -(-7))/(2 - 0) = 0/2 = 0
Slope (m) = 0
✔️Find y-intercept (b):
y-intercept is the value of y when x = 0. From the table, when x = 0, y = -7.
Therefore, y-intercept (b) = -7
✔️ Substitute m = 0 and b = -7 into y = mx + b (slope-intercept form):
y = 0(x) + (-7)
y = -7
A family wants to rent a car to go on vacation. Company A charges $35.50 and 11¢ per mile. Company B charges $60.50 and 14¢ per mile. How much more does Company B charge for x miles than Company A?
Answer:
$30 and 1 cent more
Step-by-step explanation:
$60.50 - $30.50 = $30
0.12 - 0.11 = 0.01
this stuff is kinda hard please help me find the answer
Answer: 1 is D and 2 is B I think
Step-by-step explanation: 1 is D because 59.2 + (-84.7) because D is the same thing as 59.2-84.7, just written differently. 2 is B because the longer line resembles -15 and the smaller line resembles 6. -9 is circled because its supposed to add up to -9, hence why it would be 6+(-15)=-9. Hope this helped :)
Which equation can be used to solve x + 3 = 15?
Answer:
The equation 15 - 3 = x will help solve for x.
x = 12
Step-by-step explanation:
15 - 3 = 12
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Answer:
x = 15 - 3
Step-by-step explanation:
We need to isolate the variable for this. Simply subtract by 3 to get the equation.
x + 3 = 15
- 3 - 3
x = 15 - 3
the real answer would be 12, if you need that.
Please help me I’m desperateeee
Answer:
Step-by-step explanation:
First box: (0,1)
Second box: (0,-3)
Third box: (0,-4)
find the value of find the value of a -7 when a equals 19
Answer:
12
Step-by-step explanation:
You have to substitute a by 17 and then just subtract.
I need some gosh darn help because I will fail my math test. Suppose two angles in a coordinate plane, one measuring 80 and the other measuring 160, were both rotated 180 about the origin and then translated 40 units down. which of these would be a measure of one of the resulting angles? Select 2 answers
Answer:
120 and 40
Step-by-step explanation:
Because when we subtract 80 and 40 is equal 40 or 160 and 40 is 120.
If sin(2)=cos(+30°), what is the value of ?A. 20° B. 30° C. 50° D. 110°
Answer:
ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo9
Step-by-step explanation:
jk its c
The Property where if the order of addends changes, the sum stays the change
The formula for compound interest is:
Where:
A = the future value of the investment (including interest)
P = the principal investment amount (the initial deposit amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested for
If Josh invests $500 in a 5-year fixed interest savings bond that pays 5% per annum, how much will his entire investment be worth at the end of the term?
Answer:
Future value, A = $642
Step-by-step explanation:
Given the following data;
Principal = $500
Interest rate = 5% = 5/100 = 0.05
Time, t = 5 years
n = 365
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 500(1 + \frac{0.05}{365})^{365*5}[/tex]
[tex] A = 500(1 + 0.000137)^{1825}[/tex]
[tex] A = 500(1.000137)^{1825}[/tex]
[tex] A = 500*1.2840 [/tex]
Future value, A = $642
Which number is not a factor of 42?
2 3. 4 7
Answer:
3
by using divisibility test
Answer: Its 3
Step-by-step explanation: This is because 42 can be divided by 2 4 and 7 and still be a whole number but when you divide 3 by 42 you get 10.5
Hope this helps and have a nice day
If I have a 74 in one of my classes and then I get a 100 on my test what will my grade be
Answer:
Depends on the weight of the test
Step-by-step explanation:
What is it’s equation in point slope form?
Answer:
y = -2x + 28
Step-by-step explanation:
Slope intercept form is-
y = mx + b
y = y coordinate
m = slope, the rise/run
x = x coordinate
b = the y-intercept, the place the line crosses the y-axis.
Now, fill in the formula with the proper information.
y = -2x + b You can use the point (10, 8) for the x and y coordinates to find b
8 = -2(10) + b Now solve for b
8 = -20 + b
+20 +20
28 = b Now substitute 28 in for b
y = -2x + 28
Answer:
y-8=-2(x-10)
Step-by-step explanation:
y-y1=m(x-x1)
y-8=-2(x-10)
The value of a certain car after t years is modeled by the expression 15.00000.78. What are the initial cont, I, and the rate of depreciation, r, of this car
$10.500./ 30%
110,500./ 70%
1$ 15,000./ 30%
$15,000./ 70%
Answer:
15,000,r=30%
Step-by-step explanation:
Can the table below represent values of a function? explain why.
Try it yourself, I'll explain the concept
In a function, each x-value matches to exactly one y-value
If it matches to more than one y-value, it is not considered a function
Now look at the x and y values in each table to determine if it is a function or not
:)
A box contains 57 red marbles, 40 white marbles, and 70 blue marbles.
If a marble is randomly selected from the box, what is the probability that it is blue? Express your answer as a simplified fraction or a decimal
rounded to four decimal places.
Evaluate the following
Lim (xcotx)
x->00
Answer:
1
Step-by-step explanation:
Evaluate the following
Lim (xcotx)
x->0
Note that cotx = cosx/sinx
The expression becomes
Lim (xcotx) = Lim (xcosx/sinx)
x->0 x->0
= 0cos0/sin0
= 0/0 )(ind)
Apply l'hospital rule
= Lim d/dx(xcosx/sinx)
x->0
= lim (-xsinx + cosx)/cosx
x->0
= -0sin0+cos0/cos0
= 0+1/1
= 1/1
= 1
Hence the limit of xcotx as x tends to zero is 1
Graph f(x)=|x+1|+2. Shows vertex and 4 points.
Answer:
[tex](-1,2)[/tex]
Step-by-step explanation:
The vertex of [tex]f(x)=|x|[/tex] is [tex](0,0)[/tex]
The +1 inside the absolute value horizontally shifts the graph 1 unit to the left.
The+2 outside the absolute value vertically shifts the graph 2 units upward.
So, the vertex of the graph of [tex]f(x)=|x+1|+2[/tex] is [tex](-1,2)[/tex]
Jimmy ate 1/3 of his sandwich at lunch. He ate another 2/3 of the sandwich. How much of the sandwich did Jimmy eat in all?
A.1/3
B.2/3
C.3/3
D.5/3
Douglas works for a racing car team.
The team is practising at a racing circuit
The length of the racing circuit is 4.8 kilometres.
The team car takes 2 minutes to go once round the racing circuit.
(a) Work out the average speed of the team car.
Give your answer in kilometres per hour.
(3)
Write your answer in the box below.
kilometres per hour
Show your working clearly in the
The working box can be moved
Working Box
(b) Use estimation to show a check of your answer.
(1)
Write your check in the box below.
Answer: the answer is c
Step-by-step explanation:
Dexter deposited 6,300 into a saving account that earns 2.60% simple interest per year. How much interest will she earn in 4 years
Answer:
2
Step-by-step explanation:
round 18334 to hundreds
Answer:18300
Step-by-step explanation:
can somebody help me?
Answer:
1 and 2
Step-by-step explanation:
please help me on this it is 55 points
Answer:
59/1
Step-by-step explanation:
Pls help extra points and mark brainlist o
Answer:
A.
Hope that helps!
Step-by-step explanation:
Answer:
A. 3x = 6
Step-by-step explanation:
I hope this can help!
Have a nice day!
Who can help me with this question problem
Answer:
use the formula and evaluate the givens
Step-by-step explanation:
336=(14/11)^2 * 22/7*h
336=196/121 * 22/7h
336= 4312/847h
336= 5.09h
h=66