Answer:
You sure this under math catagory?
Step-by-step explanation:
The amount of a radioactive substance remaining as it decays over time is A = A0(0.5)t/h ,where a represents the final amount
Ao represents the original amount, t represents the number of years, and h represents the half-life of the sibstance.
The half-life of the radioactive isotope carbon-14 is 5,730 years. Approximately how many years will it take a 50-gram mass of
carbon-14 to decay to 5 grams?
Carbon-14 will take 19,035 years to decay to 10 per cent.
What is the time of decay?
A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay.
An exponential decay can be described by the following formula:
[tex]N(t)=N_oe^{-\lambda t}[/tex]
Where:
No = The quantity of the substance that will decay.
N(t) = The quantity that still remains and has not yet decayed after a time t
[tex]\lambda[/tex] = The decay constant.
One important parameter related to radioactive decay is the half-life:
[tex]t_{1/2}=\dfrac{Ln(2)}{\lambda}[/tex]
If we know the value of the half-life, we can calculate the decay constant:
[tex]\lambda =\dfrac{ln(2)}{t_{1/2}}[/tex]
Carbon-14 has a half-life of 5,730 years, thus:
[tex]\lambda =\dfrac{ln(2)}{5730}[/tex]
[tex]\lambda[/tex] = 0.00012097
The equation of the remaining quantity of Carbon-14 is:
[tex]N(t)=N_oe^{-0.00012097t}[/tex]
We need to calculate the time required for the original amount to reach 10%, thus N(t)=0.10No
[tex]0.10N_o=-N_oe^{-0.00012097t}[/tex]
Simplifying:
[tex]0.10=e^{0.00012097t}[/tex]
Taking logarithms:
ln(0.10) = -0.00012097t
Solving for t:
[tex]t=\dfrac{Log0.10}{-0.00012097}[/tex]
t = 19035 years
Carbon-14 will take 19,035 years to decay to 10 per cent.
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camile mowed lawns for 3 hours and earned $6.80 per hour.then ahe wates windows for 2 hours and earns $6.20 per hour.what were camila's average earnings per hour for all 5 hours?
Answer:
3 hours times 6.80= 20.40
2 hours times 6.20= 12.40
20.40 + 12.40 = 32.80
32.80 ÷ the 5 hours= $6.56 per hour average
please help me need answers
Answer:
I think there is no solution
Step-by-step explanation:
15) Max has his eye on a new pair of sneakers that cost $120. He decided
he would not purchase the shoes until there was at least a 30% discount.
What was the cost Max was willing to pay for the sneakers?
hi everyone good morning i need help
what is 2/10 / 45
Answer:
9Step-by-step explanation:
The right answer is 9.2/10/45 = 2/10×45 = 9.
Scenario 1: Which states would get you to 270 the fastest?
List the states and the number of votes you used in this scenario
Answer:
can you turn the picture over please so I can be able to read it
What is the value of t in the following equation?
Kaitlyn buys 3 T-shirts for $14.95 each. What is the total cost
Answer: $44.85
Step-by-step explanation:
$14.95x3
is x=5 a solution to the equation 3b+3=38
yes or no
Answer:
no
Step-by-step explanation:
substitute b with 5
3(5)+3=38
Multiply
15+3=38
Add
it does not equal up
18=38
Answer:
yes Hgggggggggf the centergegge-eghrhtrhhhghgebbgegebeeebbe
help please. giving brainliest
two number are in the ratio 5:6 if sum of three number is 132 . find the number.
I hope this help you
.........
Any help would be nice
Answer:
<CPB
Step-by-step explanation:
Because the rest make obtuse angles or a right angle, only angle CPB is less than 90 degrees.
real answer or i will report you if you give me a right aswer i will give brainest
Answer:
0 and the second one
Step-by-step explanation:
integers are whole numbers they are NOT a fraction
Answer:
0, 21/7
Step-by-step explanation:
fraction is not an integer so is square root
and 10^-1 is 0.1 which is not a integer
Find the value of y.
Answer:
y = 6
Step-by-step explanation:
This is a special right triangle with angle measures 90° 60° 30°
the side length that sees angle measure 30 is represented with x
the side length that sees angle measure 90 is represented with 2x
and the side length that sees angle measure 60 is represented with x√3
the side length that sees angle measure 90 is given as 4√3 which means 2x = 4√3 divide both sides by 2
x = 2√3 now to find y, we need to multiply this value by √3
2√3 × √3 = 2 × 3
Eight notebooks cost $10. At this rate, how much would 12 notebooks cost?
In the following problem, Emily tried to calculate EG. However, she has made a mistake in her work. You need to identify and explain the mistake. Then, you must provide the correct solution.
Answer:
x = 66
Step-by-step explanation:
Emily's mistake is that part of the line is only x - 6, but she put 6x - 6
The first 6 shouldn't be there.
x - 6 = 72
x = 66
The actual correct answer is:
x = 78
Step-by-step explanation:
Although the explanation above is correct, the answer is wrong. It's not 66 because you are subtracting 6 from x. This means x needs to be 6 above 72.
Here is my step-by-step solution:
x - 6 = 72 <-- Given; Corrected Equation
x - 6 + 6 = 72 + 6 <-- Addition Property of Equality
x = 78 <-- Result from Solution
What is the range of the relation below?
{(-4,1), (-2,0), (8, -1)}
Answer:
Range: {-1, 0, 1}
General Formulas and Concepts:
Math
Number LineAlgebra I
Range is the set of y-values that are outputted by function f(x){Set Builder Notation}Step-by-step explanation:
Step 1: Define
[Relation] {(-4, 1), (-2, 0), (8, -1)}
Step 2: Identify
According to the relation, our y-values are 1, 0, and -1. These values would encompass our range.
the cookie diameter is 14 cm how my much is the radius
Which expression is equivalent to 10x2y + 25x2?
5x2(2y + 5)
5, x, 2, (2, y, + 5)
10x2(y + 25)
10, x, 2, (, y, + 25)
5x2y(5 + 20y)
5, x, 2, y, (5 + 20, y, )
10xy(x + 15y)
Answer:
12
Step-by-step explanation:
because i said so
Find the area of a quarter of a
circle (radius = 6)
9514 1404 393
Answer:
9π ≈ 28.27 square units
Step-by-step explanation:
The formula for the area of a circle is ...
A = πr² . . . . . radius r
For a radius of 6 units, the area is ...
A = π·6² = 36π . . . . . square units
The area of a quarter-circle is 1/4 of this:
quarter-circle area = (1/4)(36π) = 9π ≈ 28.27 . . . square units
7.
Mr. Aamodt bought a new lawn tractor for $3,350.
a.
The state sales tax on the lawn tractor purchase will be 6.5%. How much state
sales tax will Mr. Aamodt pay on the tractor? (2 points)
b.
Mr. Aamodt has applied for a 2-year loan at the bank for $3,350 to pay for
the new lawn tractor. The bank will charge him 8.4% simple interest on the
loan. What amount of interest will Mr. Aamodt pay on the loan? (2 points)
C.
What is the total cost of Mr. Aamodt's new lawn tractor, including the purchase
price, the loan interest, and the sales tax? (2 points)
Answer:
7. Mister as an umbrella a new lawn tractor for 3035 $0 a the state sales tax the lawn tractor purchase will be 6. 5% how much states sells tax will mr. pay for the tractor two points? mister I can apply for 2 years loan for the bank for new tra
A farmer has harvested 1.6 tons of sweet potatoes from one-quarter of an
acre. How many tons will he harvest from one acre
Answer: there is no pic
Step-by-step explanation:
Answer:
6.4 tons
Step-by-step explanation:
Evaluate: 63 + 7 X 4
Answer:
91
Step-by-step explanation:
Multiplication first, so 7x4 = 28
28+63=91
Answer:
91
Step-by-step explanation:
multiply the numbers
7×4=28
63+28=91
add the numbers
91
Help please!! try to explain if you can !!
Answer:
angle 1 and 4 are vertical angles
angle 1 plus angle 2 = angle 4
angle 2 and angle 7 are all of the above
Step-by-step explanation:
1. complementary angles are angles that have a sum of 90. because the angles are vertical angles they are congruent so the angles are likely not going to equal 45 degrees
vertical angles are angles that are vertically aligned with each other
adjacent angles are angles that share a common vertex, because these angles are not right next to each other they do not share a common vertex hence they are not adjacent angles
2. The answer choice shows the proof that an exterior angle is equal to the sum of its opposite interior angles
angle 4 being the opposite angle and angles 1 and 2 being opposite interior angles
3 The image shown is an example of corresponding angles
From looking at the image and then looking at the question we can tell that angles 2 and 7 are corresponding angles
Corresponding angles are congruent
Angles 2 and 7 are also obtuse angles. We know this because the angle formed is larger than a right angle
Answer:
1 &4 are vertically opposite angle
angle 1+angle 2=angle 4 exterior angle of the triangle is equal to the sum of two opposite interior angle
angle 2 and angle 7 are corresponding angle
Please help Me I gotta finish and no lying please. (NO LINKS) Please help mee
The area of the missing face is
What is the equation of the circle with center (-1, 8) and radius 1?
(x + 1)2 +(y - 3)2 = 1
(x - 1)2 + (y - 3)2 = 1
(x - 1)2 + (y + 8)2 = 2
Answer:
(x+1)² + (y−8)² = 1
Step-by-step explanation:
I hope I helped, and I always appreciate brainliest!!! :)
if F(x)=2x^2-x, find f(-3).
Answer:
F(-3)=2(-3)^2-(-3)
=2(9)+3
=18+3
=21
Step-by-step explanation:
Ms.Johnson wants to buy donuts for her science class, she wants to buy 8 glazed donuts, 12 chocolate donuts, and 16 jelly donuts. What is the ratio of the number of glazed donuts to the total number of donuts?
Answer:
8/36
Step-by-step explanation:
What happens to the pitch you hear when two sound waves constructively
interfere?
A. It increases due to the Doppler effect.
B. It decreases due to the Doppler effect.
C. The pitch does not change.
D. You hear the pitch of the louder sound.
Answer: D
Sound waves with higher amplitudes sound louder than sound waves with lower amplitudes. Constructive interference will make a sound louder while destructive interference will make a sound quieter. Two waves that add together may have different frequencies.
Ohique earns $750 in the span of 25 days. How many days does he have to work if he wants to earn $1500?
Answer:
50
Step-by-step explanation:
750+750=1500 so 25+25=50 so the ansewer is 50