Answer:
B
Step-by-step explanation:
Anser B your welcome sorry about the other answer with them not answering correctly
Answer:
b is the anser
Step-by-step explanation:
A sample of radium has a weight of 100 mg and a half-life of
approximately 6 years.
1. How much of the sample will remain after 6 years?
3 years?
1 year?
* Round all answers to the nearest 10th place.
2. Find a function f which models the amount of radium f(t), in mg,
remaining after t years.
Answer:
1a ) N_6 = 50 mg
1b) N_3 = 70.7 mg
1c) N_1 = 89.1 mg
2) f(t) = 100e^(-0.1155t)
Step-by-step explanation:
Formula to get amount remaining is;
N_t = N_o × ½^(t/t_½)
We are given;
N_o = 100 mg
t_½ = 6 years
We have; N_t = 100(½^(t/6))
Thus;
1a) amount left after 6 years is;
N_6 = 100 × ½^(6/6)
N_6 = 50 mg
1b) amount left after 3 years is;
N_3 = 100 × ½^(3/6)
N_3 = 70.7 mg
1c) amount left after 1 year is;
N_1 = 100 × ½^(1/6)
N_1 = 89.1 mg
2) to find the function to model the amount left after t years, let's use the formula;
f(t) = f_o × e^(-rt)
Where r is decay constant
Thus;
f(t) = 100e^(-rt)
We recall that N_t = 100(½^(t/6))
Thus;
100(½^(t/6)) = 100e^(-rt)
Divide both sides by 100 to get;
(½^(t/6)) = e^(-rt)
In (½^(t/6)) = In e^(-rt)
Using power rule, we have;
(t/6) In ½ = -rt In e
-0.6931t/6 = - rt (because In e = 1)
t will cancel out to give;
r = 0.6931/6
r = 0.1155
Thus;
f(t) = 100e^(-0.1155t)
Jill collected a total of 19 gallons of honey. If she distributes all of the honey equally between 7 jars, how much honey will be in each jar?
What is the answer to : (d+2)(-7)=
Answer:
-7d - 14
Step-by-step explanation:
that is the answer
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{(d + 2)(-7)}\\\\\large\text{DISTRIBUTE}\\\large\textsf{(d)(-7) + (2)(-7)}\\\large\textsf{(-7)(d) = -7d}\\\laefe\textsf{2(-7) = -14}\\\large\textsf{= \bf -7d - 14}\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf -7d - 14}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A physical education teacher wanted to know the effects of various activity levels on body composition. She surveyed her physical education classes and categorized 30 students into five activity levels based on the amount of daily exercise in which the students participated: inactive, semiactive, normal, active, and very active. She measured percent body fat values using skinfold calipers on all subjects with the following results.
Inactive Semiactive Normal Active Very Active
30.2 29.4 22.9 17.6 10.9
29.6 17.6 25.4 13.4 13.7
35.2 26.4 19.6 20.3 12.8
19.1 25.3 18.7 19.6 14.7
26.3 22.5 21.8 15.1 9.3
22.4 28.6 24.9 10.7 12.7
Required:
a. What is the independent variable in this study? What is the dependent variable?
b. What are the means and standard deviations for each group?
c. Does a significant difference exist among any of the groups?
Answer:
a. The independent variable is the activity level
The dependent variable is the body composition (the percentage of body fat in the values)
b. The mean and standard deviation are;
(Mean, Standard deviation)
Inactive(27.13, 5.8), Semiactive(24.97, 4.367), Normal(22.217, 2.73), Active(16.12, 3.73), Very Active (12.35, 1.95)
c. Yes
Between Semiactive and Active, Semiactive and Very Active, Normal and Very Active, Normal and Active, Active and Inactive, and Inactive and Very Active
Step-by-step explanation:
a. The independent variable is the activity level
The dependent variable is the body composition (the percentage of body fat in the values)
b. The given data are presented as follows;
Inactive [tex]{}[/tex] Semiactive Normal Active Very Active
30.2 [tex]{}[/tex] 29.4 22.9 17.6 10.9
29.6 [tex]{}[/tex] 17.6 25.4 13.4 13.7
35.2 [tex]{}[/tex] 26.4 19.6 20.3 12.8
19.1 [tex]{}[/tex] 25.3 18.7 19.6 14.7
26.3 [tex]{}[/tex] 22.5 21.8 15.1 9.3
22.4 [tex]{}[/tex] 28.6 24.9 10.7 12.7
Bymaking use of Microsoft Excel, we have;
Inactive [tex]{}[/tex] Semiactive Normal Active Very Active
Mean 27.13 [tex]{}[/tex] 24.97 22.217 16.12 12.35
Standard Deviation 5.8 [tex]{}[/tex] [tex]{}[/tex] 4.367 2.73 3.73 1.95
c. Yes
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2}) }{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
The degrees of freedom = n - 1 = 6 - 1 = 5
The critical t = 2.5706
Therefore, we have;
The test statistic for Inactive and semi active ≈ 0.72875
The test statistic for Semiactive Normal ≈ 1.309
The test statistic for Inactive and Normal ≈ 1.8773
The test statistic for Semiactive and Active ≈ 3.775 (Significant)
The test statistic for Semiactive and Very Active ≈ 6.464 (Significant)
The test statistic for Normal and Very Active ≈ 7.204 (Significant)
The test statistic for Normal and Active ≈ 3.231 (Significant)
The test statistic for Active and Inactive ≈ 3.91 (Significant)
The test statistic for Active and Very Active ≈ 2.194
The test statistic for Inactive and Very Active ≈ 5.92 (Significant)
Where the test statistic is larger than the critical 't' the statistic is significant
Find the equivalent expression of 1/3
Answer:
..........
Step-by-step explanation:
1 = 1 × 2 = 2
3. 3×2. 6
Jackson started writing a story at 8:30 AM He stopped writing at 1:15 P.M. How long did he write?
Answer: he wrote for an five hours and forty-five minutes
Step-by-step explanation:
when 55 is added to a certain number and the sum is divided by 3 , the result is 4 times the original number what is the original number
Answer:
4.99
Step-by-step explanation:
i cant remember how i got 4.99 but can show u how to check
= 55 + 4.99 = 59.99
59.99 divide 3 = 19.99666667
= 19.99666667 divide 4 (working in reverse as it says 4 times the orig no.)
= 4.99 (was rounded)
2 minutes 10 seconds-------130 seconds put the sign
Answer:
2 minutes 10 seconds = 130 seconds
Step-by-step explanation:
Given that,
LHS = 2 minutes 10 seconds
RHS = 130 seconds
Solving LHS first,
We know that,
1 minute = 60 seconds
2 minute = 120 seconds
2 minutes 10 seconds = 120s + 10 s
= 130 seconds
It means,
LHS = RHS
So,
2 minutes 10 seconds = 130 seconds
Find the Area of the Polygons
Please Help Me!!!!!!!!!!!!!!!
Answer:
Um, the second one is 120 units..
Step-by-step explanation:
Answer:
The first one is 64 sq un
The second one is 120 sq un
Step-by-step explanation:
I do Rsm lol I cant figure out the third one
If 40% of the voters who responded are over 40 years old how many voters responded it all
what is the answer
1 x -2 +3
Answer:
The anwser is 1.
Step-by-step explanation:
In January 2007 the population of Canada was 32 million.
7 million of these Canadian people spoke French as their first language.
(a) Express 7 million as a percentage of 32 million.
Give your answer correct to 1 decimal place.
Answer:
21.9%
Step-by-step explanation:
7000000/32000000=0.21875
move the decimal over two places to get percent and round the 8 up because of the 7. 21.9%
1 Division euclidienne<br />Activite<br />11 pirates et leur chef doivent se partager 197 pièces d'or. Le chef<br />pirate affirme : « Chacun de nous aura le même nombre de pièces<br />et les pièces restantes seront ajoutées à ma part. »<br />1 Expliquer pourquoi chacun aura entre 10 et 20 pièces.<br />2 a. Recopier et compléter cette division.<br />b. En déduire le nombre de pièces d'or que recevra chaque pirate et le chef.<br />C d<br />1 9<br />-<br />3 Le lendemain, les 12 pirates trouvent un nouveau trésor composé de<br />2335 pièces d'or. Utiliser la touche (ou 2nde - de la calculatrice<br />pour trouver le nombre de pièces d'or que recevra chaque pirate et le chef.<br />Critères de divisibilité
The diameter of a circle is 13 ft. Find the circumference to the nearest tenth.
Answer:
40
formula is pi × diameter
40.82
Find the volume (don't forget your UNITS) *
Answer:
70 cubic in
Step-by-step explanation:
2x7x5
70
please help me i really need help please
Answer: 66.
explanation: Ok so right triangle: 1 right angle or 90° and 2 acute angles (Less than 90°). We know that one of the angles are equal to 24° and the right angle is equal to 90° degrees. Now what? We add those 2 values together. 90 + 24 = 114. In the background, a triangle is equal to 180°. So now that we have our 2 core values together, we subtract. The reason why is because this is a missing value type equation. In these types, (usually indicated by the word find) we can subtract 2 values. Our 2 values is 114 and 180. When we subtract both, we get 66.
A(3,0) B, (2,7) C(6,4)
What is the slope of line bc
Answer:
You go down 3 and right 4 to get from point B to point C
Step-by-step explanation:
-3/4
what is the mean will give brainlyest
50 POINTS
What is 20÷(-10)
Answer:
20÷(-10) = -2
A story in the National Enquirer claimed that women who skip breakfast are more likely to give birth to baby girls, whereas women who eat breakfast are more likely to have baby boys. A skeptical researcher tested this by taking a sample of pregnant women who already knew the gender of their baby and asking them whether they ate breakfast each day or not. What are the odds of having a boy if you eat breakfast
Answer:
hello the options to your question is missing attached below are the options
answer : The number that had a boy and ate breakfast ( option 3 )
Step-by-step explanation:
The odds of having a boy if you eat breakfast is ; The number that had a boy and ate breakfast
This simply because the dependent variable is the Gender of the baby while the independent variable is Breakfast
5 feet. how many miles is that using the scale? 1 ft= 4 mile
Answer:
your answer I think would be 20 miles
What will the cost at the register be for a Playstation game that costs $59.99 with the 6% sales tax included?
Answer: $63.59
Step-by-step explanation:multiply $59.99 by 1.06
What is the center and radius of the circle? (x-1)^2+y^2=25
Answer: The center is (-5,2)
The radius is 5
Step-by-step explanation:
Equation of a circle is:
(x-h)^2+(y-k)^2=r^2
(x+5)^2+(y-2)^2=5^2
Comparing both equations we get :
The center (-5,2)
The radius is 5
Hope This Helps :)
Monica and jaimy are creating number patterns. Monica uses the rule . "Multiply by 3 and stats at 4 .Jaimy uses the rule "add 6 and stars at 12 .which term in Jaimy's
Answer:
Jaimy's fifth term equals Monica third term of 36.
Step-by-step explanation:
Monica:
Multiply by 3 and starts at 4.
4*3 = 12
12*3 = 36
36*3 = 108
...
So: {3,12,36,108,...}
Jaimy:
Adds 6 and starts at 12. So
12 + 6 = 18
18 + 6 = 24
24 + 6 = 30
30 + 6 = 36
...
So: {12,18,24,30,36,...}
So Jaimy's fifth term equals Monica third term of 36.
Please helpp meeeeeeee
Thanks for my points back
Step-by-step explanation:
Find the area of a circle with a diameter 4. either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal
Answer:
Step-by-step explanation:
[tex]A=\pi r^2\\ \\ A=\frac{\pi d^2}{4},\ d=4\\ \\ A=\frac{16\pi }{4}\\ \\ A=4\pi[/tex]
Select the correct answer.
What is 60 as a product of its prime factors?
2x3 x 52
2x32 x 5
2x3 x 5
22 x 3 x 5
QUICK!! NEED HELP ASAP!!!
Answer:
x to the 4th power+ 87x + 34
Step-by-step explanation:
I need help please!!I don’t want to fail again
9514 1404 393
Answer:
2/9 square yard
Step-by-step explanation:
You can see that the 1-yard square is divided into 18 rectangle. Of those, 4 are colored, so the fraction of the area that is colored is 4/18 square yard.
That fraction can be reduced by dividing 2 from each of those even numbers:
4/18 square yard = 2/9 square yard
The shaded area is 2/9 square yard.
Help me answer my homework questions!
Answer:
Page 1: D
Page 2: A
Page 3: D
dad lol