Answer:
Half-Life uses the formula N () = Noe # No = Initial Amount time h = length of half-life. Ifyou start with 65 milligrams of Chromium 51,used to track red blood cells, which has half-life of 27.7 days: How long will it take for 80% ofthe material to decay? t= (27.7) h5 (65) (h3) 4= (27.7) h; (05)
Step-by-step explanation:
For the given data it will take 8.69 days for 80% of the material to decay.
What is half-life?A radioactive substance's half-life is typically described as the amount of time it takes for one-half of its atoms to disintegrate or change into another substance.
It is given that, If you start with 65 milligrams of Chromium 51, used to track red blood cells, which has a half-life of 27.7 days.
N₀ = 65 milligrams
t1/2=27.7 days
N(t)=0.8(65 milligrams)=52 milligrams
[tex]N(t) = N_0(1/2)^ {\frac{t}{t_{1/2}} }[/tex]
Here,
N(t) is the amount of the substance remaining
N₀ is the initial substance amount
t is the time elapsed
t1/2 is the half-life
Substitute the given values,
[tex]N(t) = N_0(1/2)^ {\frac{t}{t_{1/2}} } \\\\ 52 = 65(1/2)^\frac{t}{27.7} \\\\ 52=65\left(\frac{1}{2}\right)^{\frac{t}{27.7}} \\\\ \frac{65\left(\frac{1}{2}\right)^{\frac{t}{27.7}}}{65}=\frac{52}{65} \\\\ \left(\frac{1}{2}\right)^{\frac{t}{27.7}}=\frac{4}{5} \\\\ \frac{t}{27.7}\ln \left(\frac{1}{2}\right)=\ln \left(\frac{4}{5}\right) \\\\ t =-\frac{27.7\ln \left(\frac{4}{5}\right)}{\ln \left(2\right)}[/tex]
[tex]t = 8.69 \ days[/tex]
Thus, for the given data it will take 8.69 days for 80% of the material to decay.
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Jeremy flew 8 times last week for work. If each flight was 2 hours long, how much time did Jeremy spend in the air?
The number of hours Jeremy spent in the air is 16 hours.
How to find the number of hours he spend in the air?He flew 8 times last week for work.
Each flight was two hours long.
Therefore, each flight, he spends two hours in the air.
Now he took this two hours flight for 8 times.
Therefore, the number of hours he spend in the air can be calculated as follows:
number of hours spent in the air = 8 × 2
number of hours spent in the air = 16 hours
Therefore, he spent 16 hours in the air.
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(x-3)(2x+1) Can someone help me on this please
Which lines are parallel? Why?
A) No lines are parallel
B) a || b by the same side interior angles
C) c || d by the same side interior angles
D) c || d by the converse of the same side interior angles
E) a || b by the converse of the same side interior angles
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The correct Choice is ~ D
a || b by the converse of the same side interior angles
Help on this fast?? Thank you
Answer:
The answer is 17.5 dollars an hour, if you were to divide 70 by 4 that is what you would get as a result.
Step-by-step explanation:
The table shows the relationship between the number of cups of cereal in the number of cups of raisins in a cereal bar recipe jake potter and equivalent ratio on the coordinate grid below which of these explains why the point jake plotted is incorrect
Answer:
c i think
Step-by-step explanation:
A color printer prints 5 pages in 9 minutes.
How many minutes does it take per page?
PLS HELPPPPPP
Answer: 1.8
Step-by-step explanation: Divide 9/5
A number is 5 more than 3 times another number. The sum of the two numbers is 33. As an equation, this is written x + 3x + 5 = 33, where x represents the smaller number. Plug in the numbers from the set {3, 5, 7, 9} to find the value of x.
The value of x that holds true for the equation is?
So, the smaller number is?
and the larger number is?
Step-by-step explanation:
the numbers : x, y
x = 5 + 3y
x + y = 33
when using the first equation in the second we get the mentioned equation (it does not matter which of the 2 numbers is x and which is y, it can all be vice versa, as you can see) :
5 + 3y + y = 33
5 + 4y = 33
4y = 28
y = 7
so, when you try the numbers above in the unsimplified equation, you will also find that 7 is the right answer.
the other number is based on my equations (with the reversed names) :
x = 5 + 3y = 5 + 3×7 = 5 + 21 = 26
the smaller number is 7.
the larger number is 26.
The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers?
Answer:
30 and 35
Step-by-step explanation:
Put this question into equation form:
Let x be the smaller number, if the larger number is 5 more and the total is 65:
x + 5 + x = 65
2x + 5 = 65
Subtract 5 from both sides
2x + 5 - 5 = 65 - 5
2x = 60
Divide both sides by 2:
2x ÷ 2 = 60 ÷ 2
x = 30
As the larger number is 5 bigger:
30 + 5 = 35
So the two numbers are 30 and 35.
Hope this helps!
Answer:
Small number 30
Large Number 35
Step-by-step explanation:
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is 5. In other words, x minus y equals 5 and can be written as equation B:
x - y = 5
Now solve equation B for x to get the revised equation B:
x - y = 5
x = 5 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
5 + y + y = 65
5 + 2y = 65
2y = 60
y = 30
Now we know y is 30. Which means that we can substitute y for 30 in equation A and solve for x:
x + y = 65
x + 30 = 65
X = 35
Therefore the large and small number us 35 and 30 respectively.
Sierra is getting a loan to purchase a car, but she has a few options for loan
comparing the cost of each loan to determine which loan will cost the least in terms of interest
paid. (Interest is the fee paid for the use of borrowed money, and it is expressed as a
percentage of the amount borrowed multiplied by the amount of time the borrower takes to
repay the loan.) All of the loan offers are for $10,000, and include an upfront fee of $200. They
are all simple interest loans (as opposed to compound interest loans). Loan A is to be paid back
over five years with an annual interest rate of 6 percent Loan B is to be paid back over four
years with an annual interest rate of 4 percent. Loan C is to be paid back over three years with
an interest rate of 5 percent. How Sierra figure out which loan will require the lowest interest
payments?
Answer:What would be the interest cost(simple interest) for a $3000 loans with a 8% rate for nine months of a years? [Simple interest= Principal Rate Time. In this case, time is 9/12(for 0.75 of a year).
Step-by-step explanation: The cost to borrow the money, expressed as a percentage of the loan. After you enter the details, the auto loan payment calculator automatically ...A finance charge is the dollar amount that the loan will cost you. Lenders generally charge what is known as simple interest. The formula to calculate ...
Where , the distance between the points ( a, c) and ( b, c) is ( ) units
Answer:
I would love to help but there is no upload. Would you mind creating a new question with a picture or data of the graph
Step-by-step explanation:
Help please!!!!!!!!!!!!!!
Answer:
Negative
Step-by-step explanation:
Slope is negative since as x increases, y decreases.
$4800 is 60% of what number?
Answer:
8000
Step-by-step explanation:
- C C) C.P = Rs 20, profit Rs 2, S
.P. -
Answer:
[tex]cp = p + sp \\ \\ cp = 2 + 20 \\ \\ cp = 22[/tex]
A farmer had 21 goats all but 9 died how many survive ?
Answer:
9
Step-by-step explanation:
All but 9
Answer:
12
Step-by-step explanation:
I used a calculator I hhhhhhj
Rational numbers on the number line
Answers:
A = -5/4B = -0.5C = 2=====================================
Explanation:
The fraction -5/4 converts to -1.25 after using your calculator or long division. It represents the mixed number -1 & 1/4. So we go 1 full unit to the left to arrive at -1, then we move another 1/4 unit to the left to get to point A. That's why point A is located at -5/4 = -1.25 = -1 & 1/4.
Point B is directly midway between 0 and -1, so it must be at -0.5; you can use the midpoint formula.
Find x for brainiest 3
Answer:
115
Step-by-step explanation:
[tex]65 + x = 180 \\ x = 180 - 65 \\ x = 115[/tex]Complete the table for the provided graph.
Dan received 64 dollars for his birthday. He went to a sporting goods store
and bought a baseball glove, baseball, and bat. He had 31 dollars left over,
how much did he spent on the baseball gear?
Answer:
the answer is 33 bucks because you have subtract the 64 -31 =33
12
rectia
14. Ne
10.) Lars has a current annual salary of $38,650.
If he gets a raise of $3,280, what percent is
the raise of his current annual salary? Round
to the nearest whole percent.
(1) 6%
(2) 7%
2 %
8%
(4) 9%
10%
Answer:
3,280/38650 x 100% = 8%
Will give brainliest if helpful and correct
Answer:
(-2, -1.5)
Step-by-step explanation:
hope this helps!
Calculate: 7×9-22+31=
Answer:
72
please mark brainlest
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
7x9=63
63-22=41
41+31= 72
Hope this helps
the quotient of 28
divided by four
increased by 3
Step-by-step explanation:
28 / 4 = 7
7 + 3 = 10
so, 10 is your answer
Answer:
Step-by-step explanation:
28 ÷ 4 = 7
7 + 3= 10
x/-5+6 is greater than or equal to 2
Answer:
[tex]x\geq 2[/tex]
Step-by-step explanation:
Write out the problem
[tex]\frac{x}{-5+6} \geq 2[/tex]
Simplifiy -5 + 6 = 1
[tex]\frac{x}{1} \geq 2[/tex]
Remember that any fraction with a denominator of 1 is equilvalent to the numerator, so
[tex]\frac{x}{1} =x[/tex]
[tex]x\geq 2[/tex]
Do y’all know the answer ….???
Answer:
$500
Step-by-step explanation:
John earns $100 per night.
He works 5 nights a week.
Therefore his weekly gross wage = $100 × 5
= $500
escape resort rents snowshoes in the winter the resort changes charges seven dollars per day and a flat fee of three dollars to cover cleaning right in equation that shows how the cost why depends on the length of the rental and days X do not include $in the equation
Answer:
Y=7x+3
Step-by-step explanation:
With a coupon, you can get a pair of shoes that normally costs $84 for only $71.40. What
percentage was the discount?
Answer:
85%
Step-by-step explanation:
71.40/84=0.85. multiply the decimal by 100 to get the percentage
solve using quadratic formula
6x^2-x=2
[tex]6x^2-x=2\implies 6x^2-1x-2=0 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{6}x^2\stackrel{\stackrel{b}{\downarrow }}{-1}x\stackrel{\stackrel{c}{\downarrow }}{-2}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}[/tex]
[tex]x = \cfrac{ -(-1) \pm \sqrt { (-1)^2 -4(6)(-2)}}{2(6)}\implies x = \cfrac{1\pm\sqrt{1+48}}{12} \\\\\\ x = \cfrac{1\pm\sqrt{49}}{12}\implies x = \cfrac{1\pm 7}{12}\implies x = \begin{cases} \frac{8}{12}\to &\frac{2}{3}\\[1em] -\frac{6}{12}\to &-\frac{1}{2} \end{cases}[/tex]
Find the value of x.
3 cm
5 cm
8
6 cm
2 cm
13 cm
X = [?] cm
Enter a decimal rounded to the nearest tenth.
Answer:
x = 3.6
Step-by-step explanation:
If 2 chords of a circle intersect then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
5x = 6 × 3 = 18 ( divide both sides by 5 )
x = 3.6
Using the intersecting chord theorem, the value of x is 3.6 cm
What is a circle?A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
We are given the parameters as;
the length of chords = x + 5 and 9 cm.
Using the intersecting chord theorem,
We know that If two chords of a circle intersect then the product of the parts of one chord is equal to the product of the parts of the other chord, that is;
5x = 6 × 3
5x = 18
Now divide both sides by 5
x = 3.6
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The enrollment in summer stuff camp went from 10 people to 28 in 5 days. What was the percent of the increase in enrollment
Answer:
140%
Step-by-step explanation:
28-10 = 14 person enrolled
14/10 = 140%
310.11 divided by 2????
Answer:
155.055
Step-by-step explanation:
hope this helps
Answer:
155.055
Step-by-step explanation:
