Answers
To solve this formula, we can simply use the formula of half-life of a radioactive substance to calculate the decay rate.
The disintegration constant or decay rate is calculated as 0.385min^-1
Half-LifeThe half-life of a radioactive substance is defined as the time taken for the initial mass of the substance to reach half it's starting mass.
The formula is given as
[tex]T_\frac{1}{2} = \frac{\ln2}{\lambda}[/tex]
Let's substitute the value into the equation and solve through
[tex]T_\frac{1}{2} = \frac{\ln2}{\lambda} \\\lambda = \frac{\ln2}{T_\frac{1}{2} } \\\lambda = \frac{0.693}{1.8} \\\lambda = 0.385[/tex]
The disintegration constant or decay rate is calculated as 0.385min^-1
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Related Questions
A truck moving down a road creates whirling pockets of air called a vortex train. Use the figure to classify the symmetry of a vortex train.
The vortex train has (select)
(select)
translation symmetry
translation symmetry and glide reflection symmetry
glide reflection symmetry
Answers
Need helping solving.
Answers
We can solve for angle HKG by using supplementary angles. The angle next to it and itself will add up to 180 degrees, as they are on a straight line.
[tex]120 + ?=180[/tex]
[tex]?=60[/tex]
Angle HKG is 60 degrees.
---
Now, we also know that in triangles, the angles are 180 degrees. We can add up all the angles and find x:
[tex]60+(6x-10)+(2x+10)=180[/tex]
Remove parenthesis:
[tex]60+6x-10+2x+10=180[/tex]
Add like terms:
[tex]8x+60=180[/tex]
Subtract 60 from both sides:
[tex]8x=120[/tex]
Divide both sides by 8:
[tex]x=15[/tex]
PROBLEM NUMBER TWOWe have more supplementary angles. We can find angle JHG:
[tex]?+72=180[/tex]
[tex]?=108[/tex]
---
Now add up the interior angles of the triangle:
[tex]4x-2+3x+4+108=180[/tex]
Add like terms:
[tex]7x+110=180[/tex]
Subtract 110 from both sides:
[tex]7x=70[/tex]
Divide both sides by 7:
[tex]x=10[/tex]
PROBLEM NUMBER TWOWe have more supplementary angles. We can find angle BDC:
[tex]?+111=180[/tex]
[tex]?=69[/tex]
---
Now add up the interior angles of the triangle:
[tex]69+7x+5+8x-14=180[/tex]
Add like terms:
[tex]60+15x=180[/tex]
Subtract 60 from both sides:
[tex]15x=120[/tex]
Divide both sides by 15:
[tex]x=8[/tex]
Type the correct answer in each box. if necessary, use / for the fractions bar(s).
Answers
I need to know 9 and this app is the only place that helps
Answers
Explanation: you have to know that one whole circle is 360 degrees. Then use the numbers given to make an inequality.
Please answer this! 30 points
Answers
Answer:
i think light blue
Step-by-step explanation:
that or dark blue but you have to graph the answer to find where it lands.
42 points! Plus a crown if you are right!! PLEASEE HELPP D:
Answers
Answer:
x = 9
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
Here the exterior angles has a measure of 10x + 58° while its opposite interior angles have measures of 6x + 56° and 38°
If an exterior angle of a triangle is equal to the sum of the opposite interior angles then 10x + 58 = 6x + 56 + 38
we now solve for x
10x + 58 = 6x + 56 + 38
==> combine like terms
10x + 58 = 6x + 94
==> subtract 58 from both sides
10x = 6x + 36
==> subtract 6x from both sides
4x = 36
==> divide both sides by 4
x = 9
and we are done! :)
Answer:
x = 9
Step-by-step explanation:
The sum of all the interior angles of a triangle = 180 degrees
one of the angles of the triangle's interior is blank, so to find it we can subtract the exterior angle measure next to it from 180 degrees (a straight line)
38 + (6x + 56) + (180 - (10x + 58)) = 180
Now, we can do our best to simplify and combine like terms:
[38 + 56 + (180 - 58)] + [6x - 10x] = 180
216 - 4x = 180
Now we can subtract 180 from both sides...
36 - 4x = 0
And then add 4x to both sides...
36 = 4x
Now we've manged to isolate x, all that's left is to divide both sides by 4
9 = x
Or
x = 9
Hope this explanation helped! Feel free to ask questions if anything didn't fully make sense!
In a bag of marbles there are 7 blue, 3 red, 14 yellow, 1 white, and 10 black.
What is the ratio of blue and yellow marbles to white and black marbles?
a
7 to 11
b
14 to 10
c
21 to 11
d
11 to 21
e
20 to 10
Answers
blue + yellow = 7 blue + 14 yellow = 21 marbles
white + black = 1 white + 10 black = 11 marbles
now, set up the ratio:
blue + yellow : white + black
21 : 11 (also written as 21 to 11)
so the answer would be c
hope this helps!
Answer:
c) 21 to 11
Step-by-step explanation:
Finding the ratio :
⇒ Number of blue + Number of yellow : Number of white + Number of black
⇒ 7 + 14 : 1 + 10
⇒ 21 : 11
⇒ 21 to 11
what is the value of x?
Answers
Answer:
x = 30
Step-by-step explanation:
The sides of the [tex]\triangle[/tex] formed by chord and two radii are equal.[tex]\implies [/tex] measure of each angle of the[tex]\triangle[/tex] is 60°.[tex]tangent \perp radius [/tex] (By tangent theorem)[tex]\implies m\angle[/tex] at point of contact of tangent and radius is 90°-> x° + 90° + 60° = 180° (By interior angle sum theorem of a triangle)-> x° + 150° = 180°-> x° = 180° - 150°-> x° = 30°x = 30please solve this for me asap
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[tex] \: \: \: \: \: \: \: \underline {\boxed{ \sf{ \huge{\pink \star }P = a + b + c }}}[/tex]
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
[tex] \longrightarrow\sf{P = a + b + c }[/tex]
[tex]\longrightarrow\sf{P = 5 + 12 + 7}[/tex]
[tex]\longrightarrow\sf{P = 24}[/tex]
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
Therefore , the perimeter of triangle is 24 cm
Highest common factor of 18 and 48
Answers
Answer:
the HCF of 18 and 48 is 6Step-by-step explanation:
why?because to calculate then HCF of 18 and 48, we need to factor each numberfactor of 18 is 1,2,3,6,9,18 andfactor of 48 is 1,2,3,4,6,8,12,16,24,48, end choose the highest factor that exactly dividers both 18 and 48 is 6 this is my answerA triangular shaped price of paper has an area of 1296 and a base of 6 find the height
Answers
Answer: 432
Step-by-step explanation:
The formula for the area of a triangle:
[tex]A=[/tex] [tex]\frac{H*B}{2}[/tex]
Substitute area and base:
[tex]1296 = \frac{H*6}{2}[/tex]
Multiply by the denominator to eliminate the fraction:
[tex]2*1296 = \frac{H*6}{2} *2\\[/tex]
[tex]2592=H*6[/tex]
Inverse operations to isolate the variable:
[tex]\frac{2592}{6} =H[/tex]
[tex]H = 432[/tex]
Height is 432
PLS HELPP NEED QUICK WILL GIVE BRAINLEST!
SHow ur work pls
Answers
The area of a 2D form is the amount of space within its perimeter. The area of the right triangular prism is 1,200 m².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The area of the triangular prism can be written as,
Total surface Area
= Area of two rectangle face + Area of two triangular face + Area of base
= 2(17×15) + 2(0.5×30×8) + (30×15)
= 2(255 in²) + 2(120 in²) + 450 in²
= 1,200 in²
Hence, the area of the right triangular prism is 1,200 m².
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Select all the expressions that have a value of 7,193.
A: 38,977-31,884
B: 39,616-32,323
C: 42,014-34,821
D: 50,000-42,807
E: 78,792-71,699
Answers
The correct answers are, C and D
Find the area of a circle with diameter 31.6 cm, both in terms of π and to the nearest tenth. Use 3.14 for π.
Answers
Answer:
784.3
Step-by-step explanation:
3.14(15.8)^2 = 784.3
hope this helped :>
What is the total surface area of a square pyramid with a base length of 10 meters and a slant height of 13 meters?
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Answer:
379 (Rounded to nearest whole)
A = a² + 2a [tex]\sqrt{\frac{a^2}{4} + h^2}[/tex]
= 10² + 2 × 10 × [tex]\sqrt{\frac{10^2}{4} + 13^2 }[/tex] ≈ 378.57
Convert to decimal degrees 43 degrees 25 minutes 36 seconds
Answers
Answer:
43.43
Step-by-step explanation:
Convert 25 minutes to decimal degrees by 25/60 = 0.416...=0.42
Convert 36 seconds to decimal degrees by 36/3600 (There are 3600 seconds in a degree) = 0.01
Now you have:
43 degrees, 0.42 degrees. and 0.01 degrees.
Add them all to get 43.43
Проект призи нація ( взаємодія між організмами в природі )
Answers
Answer:
Біологічні відносини є результатом взаємодії організмів один з одним. У природі немає організмів, які ізольовані від оточуючого середовища.
Missing: Проект призи нація (
What is the area of the figure?
An irregular shape that is made of two rectangles end to end that are eight inches long each and four inches wide. The total length of the base is sixteen inches. With two right triangles on top of the rectangles so the right angles meet the sides of the rectangles. The total length of each side with the width of the rectangle and the side of the triangle is seven inches.
88 square inches
96 square inches
120 square inches
80 square inches
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The area of the figure is 80 square inches. Check more about area below.
What is the irregular shape about?To find the area:
Lets take area as A.
Therefore,
Note that rectangles A is eight inches long each and four inches wide. base: sixteen inches and width is seven inches.
A= rectangles A - rectangles B
= 16 * 7 - 8 * 4
=112- 32
80
Therefore, the area of the figure is 80.
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Laura ordered 3 pizzas for her
party. Each pizza had 8 slices.
•1
of the cheese pizza was
left.
•2 of the pepperoni pizza was
eaten.
*2 slices of the sausage pizza
was left.
How many slices of pizza were
eaten at the party?
Answers
We know only 1 slice of cheese pizza was left so that would mean 7 slices were eaten. (8-1=7)
2 pepperoni pizza slices were eaten so 6 are left. (8-2=6)
2 slices of sausage pizza was left so that would mean 6 were eaten. (8-2=6)
7 slices of cheese pizza were eaten, 2 pepperoni slices were eaten, and 6 slices of sausage pizza were eaten. 7+2+6 = 15.
That means 15 slices of pizza were eaten. Hope this helps and please mark brainliest!
Answer:
15 slices of pizza was left!
Step-by-step explanation:
First we multiply
3 x 8
Answer : 24 all slices combine
7 slices were ate on the first pizza
2 slices were ate on the second pizza
6 slices were ate on the third pizza
add them all up and get 15
Hope this helps!
of 30 1/3 students, play sports. Of those who play sports, 2/5 play soccer. How many play soccer?
Answers
12 2/15...
hope it helps...!!!
i will mark brainlist please help what is the vertex of the parabola
Answers
one of the factors of 4x^2-9 is
(1)x+3
(2)2x+3
(3)4x-3
(4)x-3
Answers
Answer:
[tex]2x+3[/tex]
Step-by-step explanation:
[tex]4x^2-9=(2x)^2 -3^2=(2x-3)(2x+3)[/tex]
23 The value in dollars, y, of a carx years after it was purchased can be modeled by
the function y - 14,000 - 875x. What is the meaning of the y-intercept of the
linear model?
А The initial value of the car is $14,000.
B
The average value of the car is $14,000.
C The car's value decreases by $875 each year after it was purchased.
D The car's value decreases by $16 each year after it was purchased.
Answers
Your neighborhood gym tracked how many days
number of days per week a member worked out.
each of its members worked out over the past week. Let G = the
Number of Days
Probability
Interpret the standard deviation of G.
O The mean number of days a member worked out would typically be
about 1.6764 from the expected number of
days
The mean number of days a member worked out
days.
typically be about 2.2913 from the expected number of
The number of days a member worked out would typically be about 1.6764 from the expected number of days.
The number of days a member worked out would typically be about 1.6764 from the mean about 68% of the
tme.
Answers
The correct interpretation of the standard deviation of the given discrete distribution is:
The mean number of days a member worked out would typically be about 1.6764 from the expected number of days.
What are the mean and the standard deviation of a discrete distribution?The mean of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.The standard deviation is the square root of the sum of the difference squared between each outcome and the mean, multiplied by it's respective probabilities.Hence:
E(X) = 0.4(0) + 0.12(1) + 0.13(2) + 0.15(3) + 0.06(4) + 0.02(5) + 0.02(6) + 0.01(7) = 1.36
[tex]\sqrt{V(X)} = \sqrt{0.4(0-1.36)^2 + 0.12(1-1.36)^2 + 0.13(2-1.36)^2 + \cdots + 0.01(7-1.36)^2} = 1.674[/tex]
Hence the correct option is:
The mean number of days a member worked out would typically be about 1.6764 from the expected number of days.
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Answer:
c
Step-by-step explanation:
Which is more likely to happen?
1. When reaching into a dark closet and pulling out one shoe from a pile of 20 pairs
shoes, you pull out a left shoe.
2. When listening to a playlist which has 5 songs on it-in shuffle mode, the first song on
the playlist plays first.
2.2
How Likely Is It?
1. Label each event with one of these options:
impossible, unlikely, equally likely as not likely, certain
a. You will win grand prize in a raffle if you purchased 2 out of the 100 tickets.
Answers
how likely is it? equally likely as not likely
The box plot below represents some data set. What is the value of the median?
Answers
Answer:
80
Step-by-step explanation:
Look at the box plot and look at each line.
The first line that is all the way to the left, that is the Quartile 1.
The last line all the way to the right, that is Quartile 3.
Now lets look at the box part.
The beggining of the box is the minimum.
The ending of the box is the maximum.
The middle line is the median.
How I remember it is Median=Middle
Hopw this hels :D
What is the difference between 120 &-50 on a number line
Answers
Answer:
170 is the difference between 120 & -50 on a number line
Step-by-step explanation:
so - 50 to 0 is 50
than 0 to 120
so, |-50| + 120 = 170
Four inches of snow fell in 3 hours. At that rate, how long would it take for 1 foot of snow to fall?
Answers
Answer:
9 hours
Step-by-step explanation:
4 times 3 is 12. Simple multiplication. 3 times 3 is 9. WOW
Answer:
9 hours
The average rate of snowfall here is 4 inches per/hour, so that means we have to multiply the amount of hours by itself to get the answer.
3 × 3 = 9(with 12 inches of snow fell total, equaling 1 foot)
At what time a person can travel 800 meters at 36 km per hour
Answers
Answer:
.02 hours
or
1.2 minutes
Step-by-step explanation:
800 meters is .8 kilometers (because there are 1000 meters in a kilometer).
Now just do dimensional analysis.
.8 km 1 hour
-------- x -------- = .02 hours
. 1 36 km
To find minutes, multiply .02 by 60.
(.02)(60)=1.2 minutes
what is the answer to this question