The given equations are incomprehensible, I'm afraid...
You're given that osmium-183 has a half-life of 12 hours, so for some initial mass M₀, the mass after 12 hours is half that:
1/2 M₀ = M₀ exp(12k)
for some decay constant k. Solve for this k :
1/2 = exp(12k)
ln(1/2) = 12k
k = 1/12 ln(1/2) = - ln(2)/12
Now for some starting mass M₀, the mass M remaining after time t is given by
M = M₀ exp(kt )
So if M₀ = 590 g and t = 36 h, plugging these into the equation with the previously determined value of k gives
M = 590 exp(36k) = 73.75
so 73.75 ≈ 74 g of Os-183 are left.
Alternatively, notice that the given time period of 36 hours is simply 3 times the half-life of 12 hours, so 1/2³ = 1/8 of the starting amount of Os-183 is left:
590/8 = 73.75 ≈ 74
What is the simplest form of the radical expression?
√2+√5/√2-√5
here u go...........
Are the expressions -0.5(3x + 5) and
-1.5x + 2.5 equivalent? Explain why or why not.
Answer:
No, because the first equation equals -1.5x + 2.5 when simplified, but when the second equation is simplified it equals 1
Towns P, Q and R are connected by roads PQ ,PR and QR. PR is 10km longer than PQ
QR is twice as long as PR.
The total length of three roads is 170km.
Work out length of PQ.
Answer:
PQ = 35 km
Step-by-step explanation:
Here, we want to get the length of PQ
Let PQ = x
PR is 10 km longer than PQ
PR = 10 + x
QR = 2 * PR
QR = 2(10 + x)
Adding all gives 170;
x + 10 + x + 2(10 + x) = 170
2x + 10 + 20 + 2x = 170
4x + 30 = 170
4x = 170-30
4x = 140
x = 140/4
x = 35 km
PQ = 35 km
The length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.
What is the length of line segment?Length of line segment (say YX) is the distance of both the ends of it (y to x).
Towns P, Q and R are connected by roads PQ ,PR and QR.
The line segment PR is 10 km longer than PQ. Therefore,
[tex]PR=PQ+10\\PQ=PR-10[/tex] ......1
The line segment QR is twice as long as the line segment PR. Therefore,
[tex]QR=2PR[/tex] .....2
The total length of three roads is 170 km. Therefore,
[tex]PQ+PR+QR=170[/tex]
Put the value of PR and QR from equation 1 and 2 in the above equation as,
[tex](PR-10)+PR+(2PR)=170\\PR-10+PR+2PR=170\\4PR=170+10\\PR=\dfrac{180}{4}\\PR=45\rm km[/tex]
As the line segment PR is 10 km longer than PQ and length of PR is 45 km. Therefore,
[tex]PR=45-10\\PR=35\rm km[/tex]
Hence, the length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.
Learn more about the line segment here;
https://brainly.com/question/2437195
will mark brainliest and rate 5/5
Answer: Usually the formula for the volume of a prism is V=b(h)—> In words, Volume equals base times height. This means the height 10 would replace h. —> V=b(10). Next we want to find the B in the forumla. If you notice the question says that the base is 24 square centimeters. So our new formula is V=24(10). So option C, V=24x10 is the correct answer.
Write the expression in exponential form
(3√a)^2
Answer:
a^2/3
Step-by-step explanation:
Which expressions could be used to find the distance between points (-2, 8) and (7, 13) on a coordinate plane
Answer:
Step-by-step explanation:
Note how the stretch from x = -2 to x = 7 could be regarded as the horizontal leg of a right triangle (9 units in length), and that from y = 8 to y = 13 the vertical leg (5 units in length). We need to find the length of the hypotenuse of this triangle, using the Pythagorean Theorem:
d = √(5² + 9²) = √106, or approximately 10.3 units.
PLEASE HELP! I WILL MARK AS BRAINLYEST
For each diagram, decide if y is an increase or a decrease of x. Then determine the
percentage.
A
у
B
у
Answer:
A: Decrease, y is 80% of x
B: Increase, y is 160%of x
Step-by-step explanation:
It sounds like it wants to know what percent Y is of X, so if y was 50% of x, that would mean y was half as much of x. so if x was 10 and y was 5
A: x is 5 and y is 4 since y is less it is a decrease. to find the percent do 100*y/x, so in this case that's 100*4/5 =80, so y is 80% of x. and it makes sense it is less than 100% since x is less than y
B: x=5 and y=8 y is greater than x so it is an increase and will be more than 100%. 100*8/5 = 160 so y is 160% of x
Help Please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!111
Answer:8 cups
Step-by-step explanation:
find the surface area of the prism. 13.5in 9in 9in 10in
Answer:
I got the same answer
Step-by-step explanation:
Answer:
41in
Step-by-step explanation:
What is the slope of the following equation: Y=4x-2
Answer:
slope is 4 and intercept on y-axis is -2.
Please help!!
the function of C gives the percentage of homes using only cell phone service X years after 2004 explain the meaning of each statement.
1. C(10)=35
2. C(x) = 10
3. how is C(10) different from C(x) = 10?
Answer:
Step-by-step explanation:
1. C(10)=35 is the percentage of homes using only cell phone service 10 years after 2004, that is, after 2014.
2. C(x) = 10 is the percentage of homes using only cell phone service x years after 2004. We must find x.
3. how is C(10) different from C(x) = 10?
In C(10), 10 measures time in years and is the independent variable here; C10) is the dependent variable. See (2), above. In C(x), x is the (unknown) independent variable, whereas 10 is the output vaue, the dependent variable.
4(y+2)-y= 2(y-1) +9
What does y equal
☁️ y = -1 ☁️
Hope it helps.
Explanation: Have a nice day!~ ￣▽￣❤️
which answer matches the sentence?
9 is 3 less than a number n
1. 9=3-n
2.9=n+3
3. 9=3n
4. 9=n-3
Answer:
4.
Step-by-step explanation:
'3 less than n' = n-3
'9 is' = 9=
can sum one help me please
Answer:
scale facror:
1
:
2
x = 5
Perimeter = 5+4+4+5+6 = 24
What is the greatest common factor of 50, 30, and 46?
Find the distance between the points (10,-10) and (1, 2).
1
Hint: Use the Pythagorean theorem.
1044
alapsas
8
PAUSED
6
Startscore
Go 100
4
0
(1,2)
2
-10
-8
-6
-4
-2
0
2
4
6
8
10
-2
-4
-6
-8
(10-10)
-10
danimals to the nearest tenth
Answer:
-10
Step-by-step explanation:
Remy is on the Track Team. She spends 45 minutes running during each practice.
How many minutes will she run in 10 days?
Answer:
450 minutes
Step-by-step explanation:
Answer:
Wouldn't you multiply 45 × 10?
Step-by-step explanation:
Because it's 45 minutes each day she practices.
Help!!!!!!fast!!!!noww!!!!!help!!!!
Answer:
q^12
Step-by-step explanation:
To solve, multiply the exponents
a. 17 + 4p
b. 18 + 3d + 3p
c. 18 + 4p
d. 17 + 3d + 3p
Answer:
c. 4p+18
Step-by-step explanation:
-7d + 2d + 3d + 2d = 0
6p-3p+p = 4p
7-11+14+8 = 18
4p+18
answer please !!! taking an exam rn
Answer:
C
Step-by-step explanation:
I need help ASAP... I need help ASAP I need help ASAP I need help ASAP I need help ASAP I need help ASAP I need help ASAP I need help ASAP I need help ASAP...
Answer:
A & B
Step-by-step explanation:
Hope this helpsss
Answer:
A and B.
Step-by-step explanation:
I took this test
The center of a circle bs located at 3,9), and the evde hesa vedles that to sustain What the parengtame een hee)
0 #4 - 6 = 46 + 6 = ()
7* 9-6-167-15-6
0676x* 167 18-0
D. ** *64*167-15-0
Answer:
The general equation of a circle is x2 + y2 - 6x - 16y + 48 = 0
Step-by-step explanation:
Please answer this ASAP!!!
Answer:
it should be IV or 4
Step-by-step explanation:
What's -2.505 as a fraction
Answer:
501/200
It told me I need more characters so here’s some random letters hehehajajjajaja
Can someone help me on this plzzz???
Answer:
subtract to elimanate x.
Step-by-step explanation:
Brainliest pls??
add 17,346 + 92,601
Answer:
109,947
Hope this helps!
Answer:
using basic addition.. 17,346 + 92,601 = 109947
Kiran has 2 & 3/4 pounds of flour. When he divides the flour into equal-sized bags, he fills 4 & 1/8 bags. How many pounds fit in each bag?
Answer:
The number of pounds that will fit in each bag is 2/3 pounds of flour
Step-by-step explanation:
Here, we want to know the amount of pounds that will fit in each bag
What we have to do here is to divide the total number of pounds of flour, by the number of bags filled
We have this as;
2 3/4 divided by 4 1/8
This is;
11/4 divided by 33/8
= 11/4 * 8/33 = 2/3 pounds
what is the surface area
please help me 8th grade math i’ll give brainliest fastest answer also show work
Answer: It's a B answer.
Show your work here:
In an ordered pair the first coordinate is x the coordinate, and the second coordinate corresponds to the y coordinate.
Then we must substitute the given value of x in the equation and verify that we get in return the defined value for y.
the options are (-2,4)
in this one x=-2, and y=4, so let's confirm:
y=-3x-4
y=-3(-2)-4
y=-6-4
y=2
this is not a solution since the y values are not the same.
in this one x=-3 and y=5, let's also confirm:
y=-3(-3)-4
y=9-4
y=5
in this one the values for y are equal, this is a solution for the equation.
so give me a brainlest!