The formula that can be used to calculate the half-life is: [tex]N(t)=N_0\left(\frac{1}{2}\right)^{\frac{t}{t_{1 / 2}}}[/tex]
What is Half-life?The half-life is the amount of time required for a quantity (of substance) to reduce to half of its initial value.
The expression is commonly used in nuclear physics to describe how quickly unstable atoms decay radioactively or how long stable atoms remain.
Additionally, a broader definition of the term is used to characterize any exponential decay (or, very infrequently, nonexponential decay).
For instance, the medical sciences may refer to the biological half-life of drugs and other substances in the human body.
Time doubles in proportion to life's exponential expansion.
The formula to calculate half-life: [tex]N(t)=N_0\left(\frac{1}{2}\right)^{\frac{t}{t_{1 / 2}}}[/tex]
Where N(t) is the quantity of the substance remaining, N₀ is the initial quantity of the substance, t is the time elapsed and t₁₎₂ is the half-life of the substance.
Therefore, the formula that can be used to calculate the half-life is: [tex]N(t)=N_0\left(\frac{1}{2}\right)^{\frac{t}{t_{1 / 2}}}[/tex]
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50 Points
Find the value of r in the figure.
Assume that lines a and bare parallel.
(4r - 30)
(2x)
b
Answer:
A) x = 15
Step-by-step explanation:
4x - 30 = 2x
subtract 2x from each side of the equation:
2x - 30 = 0
add 30 to each side:
2x = 30
x = 15
Answer:
[tex] \displaystyle A) {15}^{ \circ} [/tex]
Step-by-step explanation:
remember that,
when a transversal crosses two parallel lines then the Alternate interior angles are equal that is being said
[tex] \displaystyle 4x - 30 = 2x[/tex]
cancel 2x from both sides:
[tex] \displaystyle 2x - 30 = 0[/tex]
add 30° to both sides:
[tex] \displaystyle 2x = 30[/tex]
divide both sides by 2:
[tex] \displaystyle x =15[/tex]
hence
our answer is A)
HELP ASAP DUE SOON! GIVING BRAINLIESTT!
Answer:
1. 40
2. 35.71
Step-by-step explanation:
using
pythagoras theorem
You roll a 6-sided die. What is P(prime)? Write your answer as a percentage.
Answer:
50%
Step-by-step explanation:
n(s) = {1, 2, 3, 4, 5, 6} = 6
n(a) = {2, 3, 5} = 3
p(a) = n(a)/n(s) p(a) = 3/6 p(a) = ½ <==> 50%What is 60% of 450?
60
75
240
270
Answer:
270
Step-by-step explanation:
450x60%= 270
OR
450x0.6=270
Answer:
Step-by-step explanation:
270
v -10= -9
v= _____
explain how you do it.
Answer:
v = 1
Step-by-step explanation:
v -10= -9
Add 10 to each side
v -10+10= -9+10
v = 1
Moosa's sister is six years younger than 3 times his age. The sum of their ages is 30. How old is Moosa?
Suppose Moosa is ( x ) years old ,
Thus Moosa's sister is ( 3x - 6 ) years old .
The sum of their ages is 30 :
( x ) + ( 3x - 6 ) = 30 ==》 4x - 6 = 30
==》 4x = 36
==》 x = 9
So Moosa is 9 years old .
Which one is it ? NO LINKS
245
55
180
65
Answer:
245 is the best answer. I am right ta boy
Answer: 245
Step-by-step explanation:
60 + 120 + 65 = 245
Bill is a painter, who has been hired to paint a house.
• He receives an houry rate of $35 an hour.
• The materials Bill had to purchase cost $50 for the job.
• The amount of money Bill makes in profit, after working "x" hours, is modeled by the function:
f(x) = 352 – 50
Determine Bill's profit after working 10 hours.
Answer: 300
Step-by-step explanation: Math - 35X10-50
I may be wrong sorry!
Replace x with 10 in the given function.
We are seeking f(10).
f(10) = 35(10) - 50
f(10) = 350 - 50
f(10) = 300
After 10 hours, Bill's profit is $300.
Write an equation and find missing angle . 6x ° and 30 °
6x+30=180
6×=180-30
×=150/6
×=25
6x=6×25=130
Help me please I'm very confused about this!
Answer:I think it's trying to find the area of which is a 5 times 2 = 10
Step-by-step explanation:
What’s the answer it’s due in 15 mins
Answer:
Well Ima need the question buddy
Step-by-step explanation:
After all shrek can’t answer a question without a question.
Each base in this oblique prism is a right triangle.
What is the volume of the figure?
Answer:
66 cm³
Step-by-step explanation:
From the diagram,
Volume of the prism(v) = Area of the base (A)×Height(h)
v = A×h............... Equation 1
But,
A = bh/2.................... Equation 2
Where b = base of the triangle, h = height of the triangular base.
Substitute equation 2 into equation 1
v = (bh/2)H.................... Equation 3
Also for the diagram,
Given; b = 3 cm, h = 4 cm, H = 11 cm
Substitute these values into equation 3
v = (3×4×11)/2
v = 132/2
v = 66 cm³
Need help thanks
It’s Trigonometry and it’s hard.
Can someone help me on this question?
Answer:
90°
Step-by-step explanation:
opposite angles of quadrilateral is 180 so
<d is 180-90 = 90
PLEASE HELP!!! Given PQ. Find the measure of arc PQ, if the radius is 30 and chord PQ = 36. Round to nearest degree.
Answer:
I think the answer is 30.
solving by elimination
7x-y=19
2x-3y=19
Answer:
2x + y = -2, x + 2y = 2
4x + y - 2z = 0, 2x+ 3z = 9 , -6x - 2y + z = 0
x + y = 4 , x - y = 2
Step-by-step explanation:
Answer:
x=2 and y=−5
Step-by-step explanation:
Let's solve your system by elimination.
7x−y=19;2x−3y=19
Multiply the first equation by -3,and multiply the second equation by 1.
−3(7x−y=19)
1(2x−3y=19)
Becomes:
−21x+3y=−57
2x−3y=19
Add these equations to eliminate y:
−19x=−38
Then solve−19x=−38for x:
−19x=−38
(Divide both sides by -19)
x=2
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
7x−y=19
Substitute2forxin7x−y=19:
(7)(2)−y=19
−y+14=19(Simplify both sides of the equation)
−y+14+−14=19+−14(Add -14 to both sides)
−y=5
y=-5
I need help on this question. I tried finding the answer through my own thinking and the Internet, but I still couldn't get it.
Answer:
your answer is 3x2+10x−7
Step-by-step explanation:
Find the slope of the line that contains (−3,5) and (3,−9).
If the slope is not an integer, enter it is a fraction in simplest form. Do not enter a mixed number. Remember, a fraction in simplest form never contains a negative sign in the denominator. If the slope is undefined, “undefined” should be entered.
Tell whether this equation has no solution, one solution, or infinitely
many solutions.
2x+5=5x-1
O no solution
Oone solution
O infinitely many solutions
Answer:
infinitely many solutions
Step-by-step explanation:
Write the absolute value equations in the form |x-b|=c(where b is a number and c can be either number or an expression) that have the following solution sets:
One solution: x=15
Answer:
|x-15|=0
Step-by-step explanation:
Obviously.
Answer:
|x-15|=0
Step-by-step explanation:
63
Which expression is not equivalent to
66
A
62
B
1
216
1
D
Answer:1216
Step-by-step explanation:
It’s to big and if this helps plz but a brainly :)
I don’t know if this is correct !!!!!!! Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!
Answer:
It is correct how you put it
I am R80000 pay 42% tax how much money do I pay in tax??
Answer:
46400 rands
Step-by-step explanation:
Because it's common sense
HELP!!!!!FAST!!!NOW!!!!HURRY!!!!PLS!!!!
The length of the shorter leg of a 30-60-90 Special Right Triangle is 17 yd long. How long is the longer leg of the triangle?
1) 17yd
2) 17√2yd
3) 17√3yd
4) 34yd
Answer:
[tex]17\sqrt{3}[/tex]
Quiz Results:
The length of the longer leg in the considered 30-60-90 Special Right Triangle is given by: Option 3) 17√3yd
What is a 30-60-90 Special Right Triangle?The right angled triangle in which, the angles are of the measure 30, 60 and 90 degrees is called 30-60-90 Special Right Triangle.
What is law of sines?For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,
we have, by law of sines,
[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]
Remember that we took
[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]
The wider the angle is, the larger the side opposite to is.
For this right angled triangle, the side opposite to 60 degrees angle is larger leg (let it be of x yd), and the side opposite to 30 degrees angle is shorter leg (of 17 yd).
As shown in the image below, using the sine law for non right angles, we get:
[tex]\dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b}\\\\\dfrac{\sin(30^\circ)}{17} = \dfrac{\sin(60^\circ)}{x}\\\\x =\dfrac{17 \times \sin(60^\circ)}{\sin(30^\circ)} = 17\sqrt{3} \: \rm yd[/tex]
Thus, the length of the longer leg in the considered 30-60-90 Special Right Triangle is given by: Option 3) 17√3yd
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PLEASE HELP ASAPPP ILL MARK BRAINLY IF CORRECT
Answer:
I don't really understand this problem from the picture but here is some tips-
Step-by-step explanation:
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x -axis. The range is the set of possible output values, which are shown on the y -axis.
Use the picture attached. Sorry for not answering the exact question!
Can I get brainliest?
HELPP asap I’ll mark you as brainlister
Answer:
65.97
Step-by-step explanation:
Don't really know how to explain how to do this, but Omni Calculator is very helpful.
Hope that this helps!
HELP PLEASE ASAP TYSM GOD BLESS YOU AND YOUR FAMILY! 15 BRAINLY POINTS
Answer:
I'm not religious, but thank you anyways.
The upside down "T" mean perpendicular to.
Perpendicular:
per·pen·dic·u·lar
/ˌpərpənˈdikyələr/
adjective
1.
at an angle of 90° to a given line, plane, or surface.
___________________________________________________________
Since the question is asking you which one has two perpendicular lines, it can be assumed that the picture on the left is the answer, since that is the only of the two pictures that have lines what appear perpendicular.
PLEASE HELP ME ILL GIVE 70 POINTS AND MARK BRAINLIEST
Answer:
7: 28x+4 6:20x+2
help pleas ..........................
Answer:
5
Step-by-step explanation:
if the whole segment is 17 and FG is 12, you would do 17-12 to get EF
Answer:
I think its 5
Step-by-step explanation:
You have to add EG and FG. Sorry if its incorrect im not very good at this kind of thing.
what is the answer for C = 12π