Given:-
mass of proton = 1.007825 umass of neuron = 2.008625 u .Actual mass = 14.0031 uTo find:-
The mass defect.Answer:-
Mass defect arises when the mass of the atom differs from the sum of masses of nucleons . As we know that the nucleus of an atom is made up of neutrons(n) and protons (p) , and the total mass of a atom is the mass of nucleons ( protons and neutrons ) as electrons have mass very low as compared to that of n or p .
If we denote mass number by [tex]\green{A}[/tex] , then ;
[tex]\implies A = n_{\rm neutrons} + n_{\rm protons} [/tex]
Let [tex] Z[/tex] be the atomic number, then ;
[tex]\implies n_p = Z [/tex]
So, the number of neutrons will be;
[tex]\implies n_n = (A-Z) [/tex]
Therefore total mass would be ;
[tex]\implies M = m_pZ +m_n (A-Z) [/tex]
Then the mass defect would be ,
[tex]\implies\underline{\underline{\green{ \Delta M = [Zm_p + (A-Z)m_n - M ] }}} [/tex]
where ,
[tex]Z [/tex] = atomic number[tex] A[/tex] = mass number[tex] m_p [/tex] = mass of a proton[tex] m_n [/tex] = mass of a neutron_______________________________________
Now we know that the Atomic number of Nitrogen is 7(Z) and its mass number is 14(A) .
Now substitute the respective values,
[tex]\implies \Delta M = 7(1.007825) + (14-7)1.008665 - 14.0031 \\ [/tex]
[tex]\implies \Delta M = 7.054775 + 7(1.008665) - 14.00 31 [/tex]
[tex]\implies \Delta M = 7.054775 + 7.060655 - 14.0031 [/tex]
[tex]\implies \Delta M = 14.11543 - 14.0031 [/tex]
[tex]\implies \underline{\underline{\green{ \Delta M = 0.11233 \ u }}}[/tex]
Hence the mass defect is 0.11233 u .
Also this mass defect appears as energy which is responsible for the binding of nucleons together.
and we are done!
i need help
can someone help me
ty
a.
Answer:
1170cm^3
Step-by-step explanation:
Break it into two prisms. 5 x 9 x 15 and 11 x 3 x 15. Find the volume of each and add.
(5 x 9 x 15) + (11 x 3 x 15)
675 + 495
1170cm^3
b.
Answer:
846cm^2
Step-by-step explanation:
Add each side's area together.
(9x15) + (5x15) + (6x15) + (3x15) + (12x15) + (11x15) + (5x9) + (5x9) + (11x3) + (11x3)
135 + 75 + 90 + 45 + 180 + 165 + 45 + 45 + 33 + 33
846 cm^2
Answer:
(a)1170 cm^3
(b)846 cm^2
Step-by-step explanation:
(a) Rectangle #1= 11 x 3 = 33 cm^2
Rectangle #2 = 5 x 9 = 45 cm^2
Volume = 45 + 33 = 78 x 15 = 1170 cm^3
(b) First find the surface are of all 8 faces in the prism and then add them all.
1st face = (11 x 3) + (5 x 9 ) = 33 + 45 = 78 cm^2
2nd face = (11 x 3) + (5 x 9 ) = 33 + 45 = 78 cm^2
3rd face = 15 x 3 = 45 cm^2
4th face = 15 x 6 = 90 cm^2
5th face = 15 x 9 = 135 cm^2
6th face = 15 x 5 = 75 cm^2
7th face = 15 x 12 = 180 cm^2
8th face = 15 x 11 = 165 cm^2
1st + 2nd + 3rd +4th + 5th+ 6th + 7th + 8th = 846 cm^2
Hope this helps!
Evaluate the following integral on the region R in xy-plane
An obvious substitution would be to take u = x - y and v = x + 2y, so that 0 < u < 1 (which follows from y = x ==> x - y = 0 and y = x - 1 ==> x - y = 1), and 0 < v < 1.
Solve for x and y in terms of u and v :
u - v = (x - y) - (x + 2y) = -3y ==> y = (v - u)/3
2u + v = 2 (x - y) + (x + 2y) = 3x ==> x = (2u + v)/3
Compute the Jacobian and its determinant:
[tex]J=\begin{bmatrix}D_ux&D_vx\\D_uy&D_vy\end{bmatrix}=\begin{bmatrix}\dfrac23&\dfrac13\\\\-\dfrac13&\dfrac13\end{bmatrix} \implies |\det(J)|=\dfrac13[/tex]
Now in the integral, we have
[tex]\displaystyle\iint_R\frac{x+2y}{\cos(x-y)}\,\mathrm dx\,\mathrm dy = \frac13\int_0^1\int_0^1\frac{v}{\cos(u)}\,\mathrm du\,\mathrm dv \\\\ \displaystyle= \frac13\left(\int_0^1v\,\mathrm dv\right)\left(\int_0^1\sec(u)\,\mathrm du\right) \\\\ \displaystyle= \frac13\bigg(\frac{v^2}2\bigg)\bigg|_0^1\bigg(\ln|\sec(u)+\tan(u)|\bigg)\bigg|_0^1 \\\\ \displaystyle= \boxed{\frac16\ln(\sec(1)+\tan(1))}[/tex]
10 mugs and 2 plates cost £54
8 mugs and 2 plates cost £46
Write down and solve simultaneous equations
(M is the cost of a mug and p is the cost of a plate, in £
Answer:
mug = 4
plate = 7
Step-by-step explanation:
10 x + 2y =54
8x + 2y = 46
2x = 8
x = 4
2y = 14
y = 7
why museums are regarded as information resources?
Step-by-step explanation:
everything can be found in the picture
Answer:
Hello There!!
Step-by-step explanation:
Museums are regarded as information resources because there are historical things and artifacts there.
hope this helps,have a great day!!
~Pinky~
Pls Help I will give Brainliest!
Answer:
Step-by-step explanation:
For brainlest:)))) answer
Answer:
0Step-by-step explanation:
There are not rotational symmetry.
Shen started to run on a treadmill after setting its timer for 93 minutes. The display says that he has finished 69% of his run. How many minutes have gone by?
Round your answer to the nearest tenth.
Answer:
64.2 minutes
Step-by-step explanation:
We are given that
Shen set timer to run=93 minutes
He has finished his run=69%
We have to find total number of minutes have gone by.
69% of 93
=[tex]\frac{69}{100}\times 93[/tex]
By using
a%[tex]=\frac{a}{100}[/tex]
69% of 93=[tex]\frac{6417}{100}[/tex]
69% of 93=64.17 min
69% of 93[tex]\approx 64.2min[/tex]
Hence, 64.2 minutes have gone by.
A band played an encore at 2 of its last 4 shows. Considering this data, how many of the
band's next 14 shows would you expect to have an encore?
shows
The number of times that the band played an encore at 7 out of the next 14 shows.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The band should do an encore at a rate of 2 out of every 4 gigs, or 2/4 = 1/2 shows, according to the available statistics.
We may use the following percentage to determine how many of the following 14 performances will likely have an encore:
1/2 = x/14
14 = 2x
x = 7
Therefore, we can expect the band to play an encore at 7 out of the next 14 shows.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
can someone give me the anwser please?
Answer:
5/6 + 11/6 = 16/ 6
Step-by-step explanation:
Distance between any Teo labeled tick marks =
(1 - 2/3) / 2 = 1/3 ÷ 2 = 1/3 * 1/2 = 1/6
From the left :
2/3 + 1/6 = 5/6
5/3 + 1/6 = 11/6
5/6 + 11/6 = (5 + 11) / 6 = 16/6
5/6 + 11/6 = 16/ 6
A machine fills boxes at a constant rate.At the end of 35 minutes it has filled 5 boxes. Which table represents the relationship between the number of minutes the machine fills boxes and the number of boxes it has filled?
Answer:
7
Step-by-step explanation:
5 x 7 = 35 or 35/5 = 7 [ correct me if i'm wrong ]
A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the
orange.
By what percentage is the grapefruit heavier than the apple?
pls answer
Grapefruit=108
Orange=100
Apple=90
a) (108-90)/90*100 = 18/90*100=20%
b) (108-90)/108= 18/108*100=16 2/3%
Answer:
The grapefruit is 20% heavier than the orange:)
Step-by-step explanation:
Let the weight of orange be x.
This means that the weight of grapefruit is:
1.08x
( Since grapefruit is: 8% heavier than orange )
Also, the weight of apple is 10% lighter than apple.
This means that the weight of apple is: 0.90 x
What is the volume of the solid figure?
help pls
Answer:
B, 4x6x7 and 1x3x3.
Step-by-step explanation:
First, remember the formula: V=LWH (Volume equals length times width times height). Lastly, find the equations that match that formula, therefor B, 4x6x7 and 1x3x3 matches the formula, so B is your correct answer.
Please help with this question ive been asking for half an hourrrr
answer asap pls
Ill mark brainlist
f(n) = 10(1.02)n
Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)
Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent? (4 points)
Answer:
Step-by-step explanation:
11.04 = 10(1.02)^n
1.104 = 1.02^n
ln 1.104 = ln 1.02^n
ln 1.104 = n ln 1.02
n = ln 1.104/ ln 1.02
n = 4.99630409516
4.99 can be rounded to 5.
So a reasonable domain would be 0 ≤ x < 5
PART B)
f(0) = 10(1.02)^0
f(0) = 10(1)
f(0) = 10
The y-intercept represents the height of the plant when they began the experiment.
f(1) = 10(1.02)^1
f(1) = 10(1.02)
f(1) = 10.2
(1, 10.2)
f(5) = 10(1.02)^5
f(5) = 10(1.1040808)
f(5) = 11.040808
f(1)=10(1.02)^1
f(1)=10.2
Average rate= (fn2-fn1)/(n2-n1)
=11.04-10.2/(5-1)
=0.22
the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.
Someone please help, thank you
Step-by-step explanation:
everything can be found in the picture
Answers:
(a) [tex]n = 2(r+m)[/tex]
(b) [tex]n = \frac{h^2}{9}[/tex]
===========================================
Work Shown:
Part (a)
[tex]\frac{n}{2} - m = r\\\\\frac{n}{2} = r+m\\\\n = 2(r+m)[/tex]
In the second step, I added m to both sides. Afterward, I multiplied both sides by 2 to fully isolate n.
------------------------
Part (b)
[tex]3\sqrt{n} = h\\\\\sqrt{n} = \frac{h}{3}\\\\n = \left(\frac{h}{3}\right)^2\\\\n = \frac{h^2}{3^2}\\\\n = \frac{h^2}{9}\\\\[/tex]
First I divided both sides by 3. After that, I squared both sides. The (h/3) squares to (h^2)/9.
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answer:
Step-by-step explanation:
Wage = rate / hr * the number of hours worked.
Wage = ?
rate = 15.45
time = 29.25 hours
Wage = 15.45 * 29.25
Wage = 451.91
Please anybody? Line intergal
Parameterize the path by
r (x) = (x, x + 2)
with 0 ≤ x ≤ 2. Then
r' (x) = (1, 1) ==> ||r' (x)|| = √(1² + 1²) = √2
and the line integral is
[tex]\displaystyle\int_Lxy\,\mathrm ds=\sqrt2\int_0^2x(x+2)\,\mathrm dx=\boxed{\frac{20\sqrt2}3}[/tex]
Yam
190
Groundnuts
90
Vegetables
30. What is the ratio of the land used
for groundnuts to the land for
vegetables
Answer:
3:1
Step-by-step explanation:
90:30 simplified is 3:1
Evaluate the integral.
∫ 17/ (x^3 − 27) dx
Answer:
??????????????????????????
2 sin x cos x – sin x = 0
Answer: PiN, Pi/3+2PiN, 5Pi/3+2PiN
Step-by-step explanation: Use formula sheet
To find the percentage, what I did was that I divided 55 and 163 and the answer I got was 33%. However, my answer was incorrect. Because my answer was incorrect, how do I go about this problem?
Answer:
200
Step-by-step explanation:
You were right to divide 55 by 163. The problem, however, asks for the answer to be rounded to the nearest tenth.
Therefore, 55 / 163 = 0.3374 = 33.7%
Hope this helps!
An College student complained that the cost of textbooks was too high. She randomly surveyed 36 other students and found that the mean amount of money spent for textbooks was $121.60. If the standard deviation of the population was $6.36, find the best point estimate. Show your work.
Answer:
The best point estimate for the mean amount of money spent for textbooks for all students at the College is of $121.60.
Step-by-step explanation:
Best point estimate:
The best point estimate of a population mean is the sample mean.
In this question:
The sample mean amount of money spent for textbooks was $121.60, which means that the best point estimate for the mean amount of money spent for textbooks for all students at the College is of $121.60.
Each time Caroline goes shopping she decides whether or not to buy fruit.
The probability that she does buy fruit is 0.6.
Independently, she then decides whether or not to buy a CD, with a probability of 0.2 that she does buy a CD.
Work out the probability that she buys fruit or buys a CD or both.
Answer:
this probability is 0.68
Step-by-step explanation:
the probability she buys fruit but not a CD is
0.6 × (1 - 0.2) = 0.48
the probability she buys a CD by not fruit is
0.2 × (1 - 0.6) = 0.08
the probability that she buys both is
0.6 × 0.2 = 0.12
the probability that she buys fruit or a CD or both is adding all 3 probabilities :
0.48 + 0.08 + 0.12 = 0.68
PLEASE HELP!! will give brainliest!!
Suppose cos(x) = 1/sqrt5 and sin(x) > 0. What is the value of tan(2x)?
-4/3
For your question: Suppose cos(x) =1/(sqrt(5)) and sin(x) >0. What is the value of tan(2x)?
The value of tan(2x) is equal to -4/3
Write this ratio as a fraction in simplest form without any units. 6 weeks to 49 days You can use the table below to help convert the units.
Step-by-step explanation:
6 weeks : 49 days
42 days : 49 days
42/49(HCF is 7, so divide both values by 7)
that will equal to 6/7
A money box contains only 10-cent
and 20-cent coins. There are 33
coins with a total value of $4.60.
How many coins of each?
Answer:
Below in bold.
Step-by-step explanation:
x + y = 33 where x = 10 cent coin and y = 20 cent coin
10x + 20y = 460
Multiply first equation by 10:
10x + 10y = 330
Subtract this from the second equation:
10y = 130
y = 13
So there are 13 20c coins
and 33 - 13 = 20 10c coins.
A binary operation is defined on the set of real numbers ℝ by
x ∆ y = x²− 2xy + y
²
; x, y ∈ ℝ.
i. Find m such that 2 ∆ − 5 = √m
ii. Simplify ((n+1) ∆ y)/n
; n ≠ 0
Answer:
I. m = 2401
II. ((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]
Step-by-step explanation:
I. Determination of m
x ∆ y = x² − 2xy + y²
2 ∆ − 5 = √m
2² − 2(2 × –5) + (–5)² = √m
4 – 2(–10) + 25 = √m
4 + 20 + 25 = √m
49 = √m
Take the square of both side
49² = m
2401 = m
m = 2401
II. Simplify ((n+1) ∆ y)/n
We'll begin by obtaining (n+1) ∆ y. This can be obtained as follow:
x ∆ y = x² − 2xy + y²
(n+1) ∆ y = (n+1)² – 2(n+1)y + y²
(n+1) ∆ y = n² + 2n + 1 – 2ny – 2y + y²
(n+1) ∆ y = n² + 2n – 2ny – 2y + y² + 1
(n+1) ∆ y = n² – 2ny + y² + 2n – 2y + 1
(n+1) ∆ y = n² – ny – ny + y² + 2n – 2y + 1
(n+1) ∆ y = n(n – y) – y(n – y) + 2(n – y) + 1
(n+1) ∆ y = (n – y + 2)(n – y) + 1
((n+1) ∆ y)/n = [(n – y + 2)(n – y) + 1] / n
((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]
giving brainliest to whomever answers correctly!
Answer:
B: A systematic random sample
Step-by-step explanation:
Systematic sampling is a type of probability sampling in which members of a larger population are chosen at random from a larger population but at a fixed, periodic interval. This interval, also known as the sampling interval, is calculated by dividing the population size by the sample size desired. Despite the fact that the sample population is chosen in advance, systematic sampling is still considered random if the periodic interval is set in advance and the starting point is chosen at random.
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
Is -40/8 positive or negative?
Answer:
Negative. The answer gives - 5
Answer:
Negative
Step-by-step explanation:
-40/8 is equivalent to -5. Since -5 or "negative five" is negative (as it states), the equation is negative.
What is the correct written expression for the variable expression: (3 - x)/7
3 divided by the difference of 7 and x
or
the difference of 3 divided by 7 and x
Answer:
3 divided by 7 and x=-1.5*x
Step-by-step explanation:
What is the probability of rolling a number greater than 0 on a six-sided die? Someone pls help it’s urgent!!
Answer:
6/6=1
Step-by-step explanation:
There are six sides on a die and you have six total outcomes. Hope this helps! :)