Assume you have such a watch. if a minimum of 18.0% of the original tritium is needed to read the dial in dark places, for how many years could you read the time at night? assume first-order kinetics.
Final answer:
You could read the time on a tritium-based watch in dark places for approximately 34.87 years before the tritium decays below 18% of its original amount, necessitating this calculation using first-order kinetics and the half-life of tritium (12.32 years).
Explanation:
To calculate how many years you could read the time at night with a watch containing tritium, we need to understand first-order kinetics and the half-life of tritium.
Tritium has a half-life of 12.32 years, meaning after 12.32 years, half of the original tritium remains.
The question specifies that a minimum of 18% of the original tritium is needed for readability in dark places.
To find the number of years you could read the time, we use the formula for first-order decay:
[tex]N = N_0(1/2)^{(t/T)[/tex],
where N is the final amount of substance left, N_0 is the initial amount of substance, t is the time in years, and T is the half-life (12.32 years in this case).
We rearrange the formula to solve for t:
t = T*log(N/N_0)/log(1/2).
Plugging in the values, assuming N/N_0 = 0.18 (18%), and T = 12.32 years, we get:
t = 12.32*log(0.18)/log(1/2) ≈ 34.87 years.
Therefore, you could read the time on a tritium-based watch in dark places for approximately 34.87 years before the tritium decays below the level necessary for visibility.
What is a equivalent fraction for 4/21
Final answer:
An equivalent fraction for 4/21 can be found by multiplying the numerator and denominator by the same non-zero number, such as 2 to get 8/42.
Explanation:
An equivalent fraction for 4/21 is a fraction that has the same value but is expressed with different numerator and denominator. To find an equivalent fraction, you can multiply or divide both the numerator and denominator by the same non-zero number. For example, if we multiply the numerator and denominator by 2, we will get 8/42, which is an equivalent fraction to 4/21. It's important to note that this new fraction can be simplified further, just like 4/21 can be simplified to its lowest terms if there were any common factors.
PLEASE ANSWER IVE BEEN WAITING FOR AN HOUR
Rachel earned 34 in 4 hours at her job today she wants to know how much she could earn (e) tommorow if she works 10 hours at the same hourly rate
A. E/34 = 4/10
B. 34/4 = E/10
Solve the proportion to determine how much Rachel will earn in 10 hours.
If a line of one billion people standing shoulder to shoulder stretches 346,439 miles long, what is the average shoulder width, in feet, of the people in the line?
Given a line of one billion people extending for 346,439 miles, the average shoulder width of a person in the line is approximately 1.83 feet.
Explanation:To find the average shoulder width of the people in the line, we need to convert the total miles into feet, since the result wanted is in feet. There are 5,280 feet in one mile. So the total length in feet would be 346,439 miles * 5,280 feet/mile = 1,829,029,920 feet. Now, if there are 1 billion people in this line, then the average width of a person's shoulders would be the total length divided by the total number of people. Hence, the average shoulder width = 1,829,029,920 feet / 1,000,000,000 people = approximately 1.83 feet.
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Solve: 2(4x - 6) = 6x - 4
A) 4
B) 8
C) -4
D) no solution
Help me asap! I will mark you brainly and a heart tysm!
:D
Use the variable t for the number of teeth in one row. Write an expression to determine the number of teeth in a sharks mouth.
The total number of teeth in a shark's mouth can theoretically be determined by multiplying the number of teeth in a single row by the total number of rows of teeth. The multiplication will be defined by the particular shark species.
Explanation:Assuming that we want to find out the total number of teeth in a shark's mouth and we know the number of teeth in one row (coded as t), we would need to multiply this number by the number of rows of teeth in the shark's mouth. For instance, if a shark has two rows of teeth, the total number of teeth would be 2t.
It is important to recognize that each species of shark might have a different number of rows of teeth, so without specifying the particular species, the exact total of teeth can't be computed but it would still be 't' times the number of rows. But in general, a Sand Tiger Sharks like Carcharias Taurus for example, can have around 3 to 7 rows of teeth.
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Write the contrapositive of the conditional statement. If a polygon is regular, then it has congruent angles and congruent sides.
Rewrite the following statement using a number in scientific notation.
The diameter of a certain bacterium is about
0.00000002
0.00000002 meters.
Simplify (−3.5)(−3)(−6.4).
−672
−67.2
67.2
672
Answer:
-67.2
Step-by-step explanation:
Simplify the given expression (−3.5)(−3)(−6.4)
WE apply PEMDAS rule to simplify it
Lets start with parenthesis part
We multiply first two parenthesis
(−3.5)(−3)
Negative and negative becomes positive
(−3.5)(−3) is 10.5
Now we multiply it with -6.4. Positive times negative is negative.
[tex]10.5 \cdot (-6.4)= -67.2[/tex]
[tex](-3.5)(-3)(-6.4)=-67.2[/tex]
One-third cup of black beans provides 20% of the potassium you need daily. You must get the remaining 1,360 milligrams from other sources. How many milligrams of potassium should you consume daily?
80 percent of needed milligrams is 1360
so
1360/.80 = x/1
1700 milligrams or 1,700 milligrams of potassium
Grass can grow up to 6 inches in a week depending on temperature humidity and time of year at this rate how tall grass grow in 24 days
Jordan has 260 basketball cards. He divides them into 4 equal groups. How many cards are in each group?
Jordan has 260 basketball cards and divides them evenly into 4 groups, resulting in 65 cards per group.
Jordan has 260 basketball cards and wants to divide them into 4 equal groups. To find the number of cards in each group, we need to perform a simple division. By dividing 260 by 4, we get:
Divide 260 by 4.
260 \/ 4 = 65.
Each group will have 65 cards.
Therefore, Jordan will have 65 basketball cards in each of the four groups.
The formula for kinetic energy is shown. In the formula, m represents mass and v represents velocity. If mass is measured in grams and velocity is measured in centimeters per minute, what is the unit for kinetic energy
A) grams-centimeters per minute
B) grams-centimeters squared per minute
C) grams-centimeters per minute squared
D) grams-centimeters squared per minute squared
The unit for kinetic energy, when mass is in grams and velocity is in centimeters per minute, is D) grams-centimeters squared per minute squared.
The formula for kinetic energy is given by KE = 1/2 mv², where m represents mass and v represents velocity. To find the units of kinetic energy, we need to plug in the units of mass and velocity into the formula.
If m is measured in grams (g) and v is measured in centimeters per minute (cm/min), the units for velocity squared will be (cm/min)². Therefore:
KE = 1/2 (grams) (centimeters/minute)²
When we square velocity (cm/min), we get cm²/min². Thus, the units for kinetic energy become:
D) grams-centimeters squared per minute squared (g∙cm²/min²)
I need help with #6 plzzzz
write the number in expanded form 259,341
Of the students at Milton Middle School, 99 are girls. If 45% of the students are girls, how many total students are there at Milton Middle school?
If 9/10 yard of material is needed to make a blanket, how many blankets can be made from 27 yards of material
Simplify the expression
–5.6 + 8.2
Answers:
–2.6
–13.8
2.6
13.8
If the probability of Stephan Curry missing a free throw is 6%, what are the odds of him hitting the next free throw?
Answer:
47 : 3
Step-by-step explanation:
Odds of hitting are the ratio of hits to misses:
94 : 6, or 47 : 3.
A company wants to decrease their energy use by 15%. If their electric bill is currently $1300 a month, what will their bill be if they are successful?
pick any number and add 1 to it. find the sum of the new number and the original number. Add 9 to the sum. Divide the new sum by 2 and subtract the original number from the quotient
Which fraction is equivalent to 0.16? A. 1/16 B. 16/100 C. 1/6 D. 1/3
Hector made a batch of pancakes for his guests. He used 6 cups of milk, 3 eggs, and 9 cups of pancake mix. What is the constant of proportionality for the ratio of pancake mix to milk?
Answer:
I just got it right the answer is 9:6
Step-by-step explanation:
Dane is 10 times Brian's age. The difference in their age is 27, how old is Brian
Answer:
Brain is 3 years old.
Step-by-step explanation:
Let B represent Brain's age and D represent Dane's age.
We have been given that Dane is 10 times Brian's age. We can represent this information in an equation as:
[tex]D=10B...(1)[/tex]
We are also told that the difference in their age is 27. We can represent this information in an equation as:
[tex]D-B=27...(2)[/tex]
Upon substituting equation (1) i equation (2), we will get:
[tex]10B-B=27[/tex]
[tex]9B=27[/tex]
[tex]\frac{9B}{9}=\frac{27}{9}[/tex]
[tex]B=3[/tex]
Therefore, Brain is 3 years old.
Jordan is chopping wood for the winter. For 10 days in a row, he follows the same process: In the morning, he chops 20 pieces of wood, and in the evening, he chops an additional 30 pieces of wood. On the 11 day, Jordan chops only 5 pieces of wood. Write a numerical expression with parentheses for the total number of pieces of wood Jordan chopped. Do not simplify your expression.
i would write this:
total = 10(20+30) +5
If mP = 85°, which is a possible measure for Y?
mY = 80°mY = 85°mY = 100°mY = 180
Answer:c is the answer
Step-by-step explanation:
Answer:
C. m∠Y = 100°
Step-by-step explanation:
Geometry.
The circle described by the equation (x - 3)² + (y + 4)² = 9 is translated 5 units to the left and one unit up.
At what point is the center of the image circle located?
A) (-8,5)
B) (8, -5)
C) (2, -3)
D) (-2, -3)
Answer:
New coordinates are (-2, -3)
Step-by-step explanation:
First we need the centre coordiates. In (x - a)² + ( y - b)² = r² , a is the x coordinate for the circle centre and b is the y coordinate for the circle centre, so this means the coordinate of the circle centre is:
(3 , -4)
If moving to the left 5 spaces, then 5 has to be subtracted from the x coordinate:
3 - 5 = -2
Now moving one up you add one to the y coordinate:
-4 + 1 = -3
So the new coordinates are (-2, -3)
how do you graph y=-6x+3 ?
what is the answer to 2(6b + 8) = 4 + 6b