Answer:
After 3 hours there is left 22.5 grams of radioactive material.
Step-by-step explanation:
We can calculate the mass of radioactive material remaining after 3 hours, by using the decay equation:
[tex]N_{t} = N_{0}*e^{-\lambda t}[/tex] (1)
Where:
[tex]N_{0}[/tex]: is the initial mass = 180 g
[tex]N_{t}[/tex]: is the remaining mass after time t
λ: is the decay constant
The decay constant is given by:
[tex] \lambda = \frac{ln(2)}{t_{1/2}} [/tex]
Where [tex]t_{1/2}[/tex] = 1 h.
By entering λ into equation (1) we hve:
[tex] N_{t} = N_{0}*e^{-\frac{ln(2)}{t_{1/2}} t} [/tex]
[tex] N_{t} = 180 g*e^{-\frac{ln(2)}{1 h} 3 h} = 22.5 g [/tex]
Therefore, after 3 hours there is left 22.5 grams of radioactive material.
I hope it helps you!
What is the image point of (-1, -3) after
By using the translation formula, the image point of (- 1, - 3) is equal to the point (2, 1).
How to determine the coordinates of the image of a point by using a translation formula
In this problem we find the coordinates of a point, whose image must be found by using a translation, a kind of rigid transformation. The formula for the determination of the coordinates of the image is introduced below:
P'(x, y) = P(x, y) + T(x, y) (1)
Where:
P(x, y) - Original pointP'(x, y) - Resulting pointT(x, y) - Translation vectorIf we know that P(x, y) = (- 1, - 3) and T(x, y) = (3, 4), then the coordinates of the resulting point according to the transformation rule are:
P'(x, y) = (- 1, - 3) + (3, 4)
P'(x, y) = (2, 1)
The image point of (- 1, - 3) is equal to the point (2, 1).
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If both lines had been dotted lines instead, how might that have affected the possible solutions?
Answer:
Step-by-step explanation:
You will have less possible solution y is less than or y is greater than so everything touching the line will not be a solution just everything else.
Enter the equation of the line in slope-intercept form.
Slope is -1, and (2,5) is on the line.
The equation of the line isy =
Answer:
-x+7
Step-by-step explanation:
y-5= -1(x-2)
y-5= -1x+2
+5 +5
y= -x+7
ligth travels about 186,00 mi/s. the function d(t) = 186,000 gives the distance d(t), in mile, that ligth travels in t seconds. how far does ligth travel in 26s?
Answer: The correct answer is 4,836,000 miles.
Step-by-step explanation: Multiply 186,000 the Miles per second, by 26 and it gets your answer.
Which of the following expressions are undefined? CHOOSE ALL THAT APPLY
A. 6/0
B. 5/0
C. 6/5-5
Answer:
6/0, 5/0, 6/5-5
Step-by-step explanation:
You cannot divide a number by 0:
6/0 is dividing by 05/0 is dividing by 06/5-5=6/0 which is dividing by 0Franklin saw 12 blue, 18 red and 30 white cars drive by his house in 1 hour. What percent of the cars were blue?
A. 12%
B. 18%
C. 20%
D. 30%
Answer:
C
Step-by-step explanation:
I need to find x, please
PLZZPLZZ ANSWERALL THE QUESTIONS I CANT CELEBRATE CHRISTMAS IF I DONT FINISH PLZ HELP PLZZ LOOK AT THE PIC plzz
Answer:
17: Slope = -5
18: = 1/3
19: = -1/5
20: = Does not exist
21: = 1/4
22: =-2/3
Step-by-step explanation:
Please follow and mark me braibliest
happy Christmas
ANSWER QUICKLY WILL MARK BRAINLIEST
Solve this equation and show all your work
-5 x 2 ÷ -2
Answer: The answer is <5>
Step-by-step explanation:
Solution Steps
−5×2÷−2
Cancel out −2 and −2.
−5(−1)
Multiply −5 and −1 to get 5.
5
I hope this helps!
Jared cycles 3/4 miles in 5 minutes. Roy cycles 2 miles in 13 minutes. Whose speed is greater
Answer:
Roy speed is greater
Hope this helps
Answer:
Roy
Step-by-step explanation:
(3/4)/5 = 0.15 so Jared cycles 0.15 miles per minute
2 / 13 = 0.15384... so Roy cycles about 0.154 miles per minute
Roy cycles faster
Fill in the blank to make the two fractions equivalent.
Answer:
1/2 = 2/4
Step-by-step explanation:
Como se resolvería este ejercicio paso a paso?
{x − 1 ≤ x ≤ 15}
Answer:
which language it is ?i can't understand it
Step-by-step explanation:
please ask in english language
Which set of numbers is correctly ordered from greatest to least?
Answer:
It's the last choice.
Step-by-step explanation:
Convert them to decimal form:-
7 1/3 = 7.333....
221/30 = 7.36666......
⁻⁻⁻⁻⁻
7.36 = 7.36363636,,,
2.4√(3π) = 7.367952297
So, from greatest to least they are:
___
2.4√(3π), 221/30, 7.36, 7 1/3.
I will give you brainlist!
PLEASE HELP I WILL GIVE BRAINLIEST!
the answer is the second one
Step-by-step explanation:
y=mx+c where m is the gradient or slope and c is the y intercept I think this is right
Justify Step 3 of this Proof
6) In a true experimental design, the manipulated variable, or grouping variable is
and assignment to groups is
(choose the option in which both are correct)
called the
a) dependent variable; random
b) dependent variable; based on preexisting differences
c) independent variable; based on preexisting difference
d) independent variable; random
In a true experimental design, the manipulated variable, or grouping variable is independent variable; based on pre-existing difference.
What is the independent variable?The independent variable is the variable in an experiment that is manipulated by the researcher. It is assumed that the independent variable has a direct effect on the dependent variable. The dependent variable is the variable whose value is being determined in the experiment.
For example, you want to carry out an experiment to determine the effect of the hours spent reading for a test on the grade gotten on the grade. In this research, the independent variable is the hours spent reading and the dependent variable is the grade gotten. Different data on the hours studied would be collected.
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SIMPLE MATH MONOMIAL PROBLEM, WILL MARK BRAINLIEST, 20 POINTS WORTH!!!
ATTATCHED BELOW
Answer:
That’s RSM!!!
Step-by-step explanation:
Use math-way, it helps that’s what I use for those problems.
Answer:
See picture explanation
Step-by-step explanation:
Sam noticed that some people purchased like items and decided to start offering a bundle. If you buy the following items together, you get 15% off. How much will the bundle cost? $11.00 snorkle $30.00 for goggles $36.00 for flipperd
Answer: $65.45
Step-by-step explanation:
Cost of Snorkle = $11.00
Cost of goggles = $30.00
Cost for flippered = $36.00
Total cost = $11.00 + $30.00 + $36.00 = $77.00
Since there's a 15% off, the cost of the bundle will be:
= $77 - (15% × $77)
= $77 - (0.15 × $77)
= $77 - $11.55
= $65.45
If UX=34 and VX=37, what is WX? Write your answer as a whole number or as a decimal rounded to the nearest hundredth. *
Use the scatter plot to fill in the missing coordinate of the ordered pair.
8.4×10 to the power of 7-6.2×10 to the power of six in scientific notation
Answer:
84000000 and −6200000
Roy weighs 150 pounds and plans to lose 1.5 pounds a week. Luis weighs 200 pounds and plans to lose 2.5 pounds a week. Which equation shows when Roy and Luis will weigh the same? Use x for the number of weeks
150 −1.5x=200−2.5x150 −1.5x=200−2.5x
150 +1.5x=200−2.5x150 +1.5x=200−2.5x
150 +1.5x=200+2.5x150 +1.5x=200+2.5x
Answer:
A
Step-by-step explanation:
If im wrong im sorry bc the other ones are addition and they said looseing weight i jus picked da 1 dat made sense to meh.
i need help with questions 12 and 13 please i dont understand this at all
Answer:
3rd and 4th options
Step-by-step explanation:
(12)
(f + g)(x)
= f(x) + g(x)
= x - 2 + 5x - 1 ← collect like terms
= 6x - 3
(13)
(g • f)(x)
= g(x) × f(x)
= - 3x(6x² - 3x) ← multiply each term in the parenthesis by - 3x
= - 18x³ + 9x²
Solve equation 6x+5=35
Answer:x=5
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
6x + 5 = 35
subtract 5 from both sides
6x = 30
divide by 6
x = 5
(-8,7) and (x,9) given m=1/2
Answer:
x = -4
Step-by-step explanation:
put the quardinates in the slope formula and set it to 1/2 and solve by cross multiplying
9-7/x+8 = 1/2
2/x+8 = 1/2
4 = x+8
x = -4
2.3.4 - What two numbers multiply to -40 and add up to -3?
Your answer
Is it 120
Answer:
-8 and 5
Step-by-step explanation:
HELPPP ASAP PLZZZ!!!!!
Answer:
its c
Step-by-step explanation:
why do I need to explain
how do you solve 6x+104=16x+114
Answer:
x = -1
Step-by-step explanation:
6x + 104 = 16x + 114
First subtract 104 from both sides
Now you have:
6x = 16x + 10
Subtract 16x from both sides
-10x = 10
Divide by -10 on both sides and you get your answer
x = -1
Answer:
x = - 1
Step-by-step explanation:
First you wanna subtract 104 from both sides
6x + 104 - 104 = 16x + 114 - 104
you should get 0 on the left and 10 on the right
next you subtract 16x from both sides
6x - 16x = 16x - 16x + 10
you should get -10x on the left side and get 0 on your right
next you divide both side by -10
-10x ÷ -10 = 10 ÷ -10
the left should be 0 and the right should be -1
that's how i got the answer and I hope it helped !
Find the value of x.
130°
(3x + 5)º
Answer:
15 = X . hope this helped