Answer:
16 mg
Step-by-step explanation:
[tex]N_0[/tex] = Initial mass of sample = 540 mg
t = Time taken = 2 years
[tex]t_{1/2}[/tex] = Half life of isotope
N = Final mass of sample = 300 mg
Radioactive decay is given by
[tex]N=N_0e^{-\dfrac{\ln 2}{t_{1/2}}t}\\\Rightarrow \ln\dfrac{N}{N_0}=-\dfrac{\ln 2}{t_{1/2}}t\\\Rightarrow t_{1/2}=-\dfrac{\ln2}{\ln\dfrac{N}{N_0}}t\\\Rightarrow t_{1/2}=-\dfrac{\ln2}{\ln\dfrac{300}{540}}2\\\Rightarrow t_{1/2}=2.358\ \text{years}[/tex]
In 2021 the number of years passed from 2009 would be 12 years
[tex]N=N_0e^{-\dfrac{\ln 2}{t_{1/2}}t}\\\Rightarrow N=540e^{-\dfrac{\ln 2}{2.358}12}\\\Rightarrow N=15.86\approx 16\ \text{mg}[/tex]
The expected mass of the sample in the year 2021 would be 16 mg.
2. Write the symbol that will make the statement true; -5__+3.
a. < b. > c. = d. /
Answer:
a
Step-by-step explanation:
On the number line, negative numbers are less than zero. positive numbers are larger than zero.
the diagram shows a triangle drawn between a pair of parallel lines
Find value of x and y
Answer:
x = 60
y = 80
Step-by-step explanation:
x° + 120° = 180° (interior angles on the same side of transversal)
x° = 180° - 120°
x° = 60°
x = 60
x° + y° = 140° (alternate angles)
60° + y° = 140°
y° = 140° - 60°
y° = 80°
y = 80
The measure of angle ∠x is 60° and ∠y is 80°.
What are Alternate Interior Angles?Alternate Interior Angles is defined as the pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles. These angles are always equal.
Since angle ∠x and ∠120° are interior angles on the same side of transversal.
So, x° + 120° = 180°
x° = 180° - 120°
x° = 60°
x = 60
Since angle ∠x° and angle ∠y° are alternate angles
So, x° + y° = 140°
Substitute the value of x = 60 in above equation,
60° + y° = 140°
y° = 140° - 60°
y° = 80°
Hence, the measure of angle ∠x is 60° and ∠y is 80°.
Learn more about Alternate Interior Angles her:
https://brainly.com/question/2125016
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A new health drink has 150% of the recommended daily allowance (RDA) for a certain vitamin. The
RDA for this vitamin is 20 mg. How many milligrams of the vitamin are in the drink?
There are mg of the vitamin in the drink.
Math problem I need help with
Answer:
31° is the answer thank you
frecuencia del alcohol
In a '15% off sale, Freya bought a DVD player for £179.99. What was the original price of this
DVD player?
Answer:
211.75
Step-by-step explanation:
179.99/.85=211.75
Is my answer right? if not can you please tell me which won is right..
Order from greatest to least. 4. -4. 9. -7 *
Answer
9 4 -7 -4
Step-by-step explanation:
How do you write the equation in slope intercept form given (2,2) and (0,-2)?
Answer:
y = 2x - 2
Step-by-step explanation:
The slope-intercept form of the equation of a line is
y = mx + b
where m is the slope, and b is the y-intercept.
y = mx + b
First we find the slope, m.
slope = (difference in y)/(difference in x)
It does not make a difference which point is first and which point is second in finding the differences, but you must do the x- and y-differences in the same order.
slope = (-2 - 2)/(0 - 2) = -4/(-2) = 2
The slope is 2, so m = 2, and now we have:
y = 2x + b
We need to find the value of b, the y-intercept.
We use one of the given points. Let's use (2, 2). We plug in 2 for x and 2 for y and solve for b.
2 = 2(2) + b
2 = 4 + b
-2 = b
b = -2
Now that we know the y-intercept is -2, we substitute b with -2.
y = 2x + b
y = 2x - 2
Answer: y = 2x - 2
Evaluate 12s+3.5t when s=6 and t=7
Step-by-step explanation:
(12 × 6) + ( 3.5 × 7)
72 + 24.5
= 96.5 #
Step-by-step explanation:
[tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E\: N}}}} : [/tex]
s = 6 & t = 7[tex] \underline{ \underline{ \large{ \tt{T \: O\: \: F\: I \: N \: D}}}} : [/tex]
Value of the expression : 12s + 3.5t[tex] \underline{ \underline{ \large{ \tt{S\: O \: L \: U \: T \: I\: O\: N}}}} : [/tex]
Plug the values of s and t as 6 and 7 respectively in the given expression :
⟷ [tex] \large{ \tt{12 \times 6 + 3.5 \times 7}}[/tex]
⟷ [tex] \large \tt{72 + 24.5}[/tex]
⟷ [tex] \large{ \tt{96.5}}[/tex]
[tex] \red{\boxed{ \bold{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{96.5}}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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3 times a day Dylan mixes 2 oz of protein powder into a shake how many days can he make all 3 shakes from his 5 oz container of protein powder you #16 oz in a #
Answer:
13 days
Step-by-step explanation:
Protein powder in container = 16 oz
Number of containers = 5
Total ounces of protein powder = (16 * 5) = 80 oz
Oz of protein used per shake = 2 oz
Number of times shake is made per day = 3
Total oz used per day = 2 oz * 3 = 6 oz
Number of days hencan make all three shakes from container :
Total ounces / ounces per day
80 oz / 6 oz
= 13. 33 days
Krishna has $4.90 with a combined 34 nickels and quarters. How many of
each coin does she have?
Answer:
Step-by-step explanation:
-34 nickles is = 1.70
34 quarter is = 8.50
1.70 plus 8.50 plus 4.90 = 15.1 i think
don't worry about the other writing I want to see it worked out step by step so I can work the rest out and learn how to do them. PLEASE DO NOT WRITE ON HERE UNLESS YOU ARE WORKING KT OUT STRP BY STEP AND I WILL GIVE BRAINLYIST ONCE CONFIRMED BY TUTOR.JUST NUMBER ONE.
Answer:
see below
Step-by-step explanation:
6y = 12x + 26
15y = 45x + 60
First let's simplify these equations.
6y = 12x + 26
Divide each term by 6.
y = 2x + 26/6
Simplify the fraction.
26/6
= 13/3
Your simplified equation is:
y = 2x + 13/3
Let's simplify the other equation.
15y = 45x + 60
Divide each term by 15.
y = 3x + 4
These are your simplified equations.
y = 2x + 13/3
y = 3x + 4
We can see that the slope of the first equation is not equal to the slope of the second equation.
equation 1: slope is 2 shown from 2xequation 2: slope is 3 shown from 3xThe y-intercept of the first equation is not equal to the y-intercept of the second equation.
equation 1: y-intercept is 13/3 shown by + 13/3equation 2: y -intercept is 4 shown by + 4Now we want to solve the equations.
Both equations are equal to y, so you can set them equal to each other.
2x + 13/3 = 3x + 4
Combine like terms.
1/3 = x
Plug x = 1/3 into both of the equations separately..
y = 2(1/3) + 13/3
y = 2/3 + 13/3
y = 15/3
y = 5
y = 3(1/3) + 4
y = 3/3 + 4
y = 1 + 4
y = 5
Your solution is (1/3, 5)
The system of equations has one solution.
Hope this helps!
−3(5x + 8) − 7(5x + 3)
Answer:
-50x-45
Step-by-step explanation:
-3(5x+8)-7(5x+3)
-15x-24-35x-21
-50x-45
i need some help pls
Answer:
C would be your answer
Step-by-step explanation:
$26,000 is invested at 8% p.a. If interest is compounded annually, find the balance after 35 years.
Answer:
At the end of 35 years, your savings will have grown to $384,418.
You will have earned in $358,418 in interest.
How long does it take an account with a principal of $400 to earn $48 in interest at a simple annual interest rate of 2%?
Answer:
it'll take 6 years
Step-by-step explanation:
I =put
48= 400(.02) t
48= 8t
t= 6 years
write the equation of the line passing through the points (-4 -1) and (2 8)
Answer:
y=3/2x+5
Step-by-step explanation:
PLEASE HELP
Simplify the expression by combining like terms.
4 x + 3 − 2x + 5 − 2y
Answer:
2x+8-2y
Step-by-step explanation:
4x-2x+5+3-2y
2x+8-2y
Answer:
There you go!!
Step-by-step explanation:
4x - 2x - 2y + 3 + 5
What does |(-18)+(-2)/(7)+(-2) equal?
Answer:
-4
Step-by-step explanation:
(-18)+(-2)/(7)+(-2)
Add -18 and -2 to get -20.
-20/(7)+(-2)
Add 7 and -2 to get 5.
-20/5
-4
Hope this helps.
How do you know (2, 1) is a solution to 4x+y=9?
Select all that apply.
1.[] The coordinate lies on the line
2.[] When substituting x=2 and y=1 into the equation, you get a true statement .
3.[] (2,1) is a positive and so is all the numbers in the equation
4.[] 9-4=5 and 2(2)+1=5
Answer:
2. When substituting x=2 and y=1 into the equation, you get a true statement.
Hope this helps you.
solve (x - 4)^2 = 5
Answer
If you are solving for X, take the root from both sides.
Exact Form:
x
=
√
5
+
4
,
−
√
5
+
4
Decimal Form:
x
=
6.23606797
…
,
1.76393202
…
Answer:
Step-by-step explanation:
[tex](x-4)^2=5\\ \\ x-4=\pm \sqrt{5}\\ \\ x=4\pm \sqrt{5}\\ \\ x=4-\sqrt{5},\ 4+\sqrt{5} [/tex]
I NEED THE SLOPE INTERCEPT FORM, ITS DUE BY 12
Answer:
really what is the answer
Step-by-step explanation:
Answer:
y=x+2
Step-by-step explanation:
i cant see clearly if line is on the x axis or not, so im going to guess that it starts on a 2, cause its really close to 2.
hope this helps.
The eighth term of an arithmetic sequence is double the value of the third term. The fifth term is equal to 14. Determine the first term and the common difference of the sequence.
Answer: first term = 6
Common difference = 2
Step-by-step explanation:
Eight term =a +(n-1)d = a +(8-1)d = a + 7d
Third term = a+(n-1)d = a + (3-1)d =a + 2d
a + 7d = 2(a + 2d)
a + 7d = 2a + 4d
7d - 4d = 2a - a
a = 3d
The fifth term is equal to 14. This is:
a + 4d = 14
Put the value of a into the equation here
3d + 4d = 14
7d = 14
d = 14/7
d = 2
Recall that a + 4d = 14
a + 4(2) = 14
a + 8 = 14
a = 14 - 8
a = 6
what is the rate of change of the line through (2, -7) and (3, 12)
Answer:
Hi! Your answer is m = 19
Step-by-step explanation:
~use the slope formula to find the average rate of change~
y’all plz- help this is so hard
giving brainlest ;)
Answer:
B
Step-by-step explanation:
Answer:
Answer: B.
Step-by-step explanation:
Quadrants in the Coordinate Plane
The coordinate plane is divided into 4 quadrants named I, II, III, and IV as shown in the image attached below.
The first quadrant (I) has the x positive and the y positive
The second quadrant (II) has the x negative and the y positive
The third quadrant (III) has the x negative and the y negative
The fourth quadrant (IV) has the x positive and the y negative.
A point located in quadrant III must have both coordinates negative. This only corresponds to choice B where both components are negative.
Answer: B.
A pink paint mixture uses 4 cups of white paint for every 3 cups of red paint
The table shows different quantities of red and white paint for the same shade of pink complete the table
Answer:
See attached.
Step-by-step explanation:
The table is as shown
White paints {cups} Red paints{cups}
4 3
2 1
1 0
5 4
5 4
The white paint mixes with the red paint is the ratio of 4 is to 3 in that every 4 cups of white paints is mixed with 3 cups of red paints.
What is the answers to this? I am not sure if the ones I already have are correct. Please help!
find 2 numbers whose sum is 36 and diffrence is 10
Answer:
23 and 13
Step-by-step explanation:
can you help me with my latest answer too??i'm on a time limit rn
Answer:
13 and 23Step-by-step explanation:
let 2 number be x and y
x + y = 36 ---- equation ( 1 )
x - y = 10 -----equation ( 2 )
from ( 1 ) and ( 2 )
2y = 26
y = 13
putting value of Y in equation ( 1 )
x + y = 36
x + 13 = 36
x = 36 - 13
x = 23
MARK ME AS BRAINLISTcyclops frogggggggiiiiiiieeeeeeeee
Answer:
It is a little creepy....
Step-by-step explanation:
lol that totally looks like one