The scores on an exam are normally distributed, with a mean of 74 and a standard deviation of 7. What percent of the scores are less than 81?
Making use of the fact hat eq. (6.20) is an exact differential expression, show that what is the result of application of this equation to an ideal gas
Help.. :)
Which equation is not equivalent to the formula e = mc?
m equals e over c
c equals e over m
e = cm
m equals c over e
Please help THANKS!
Answer with Step-by-step explanation:
we are given a equation:
e=mc
We have to find which equation is not equivalent to the above formula.
e=mcDividing both sides by c,we get
m=e/c
i.e. m equals e over c
e=mcDividing both sides by m,we get
c=e/m
i.e. c equals e over m
e=mc=cmBut m is not equal to c over eHence, The equation which is not equivalent to e=mc is:
m equals c over e
factoring
x^2-4x-21=0
One custodian cleans a suite of offices in 3 hrs. When a second worker is asked to join the regular custodian, the job takes only 2 hours. How long does it take the second worker to do the same job alone?
A jeep and BMW enter a highway running east-west at the same exit heading in opposite directions. The jeep entered the highway 30 minutes before the BMW did, and traveled 7 mph slower than the BMW. After 2 hours from the time the BMW entered the highway, the cars were 306.5 miles apart. Find the speed of each car, assuming they were driven on cruise control.
Answer:
3x+27+3.5x=397.5
6.5x=370.5
x=57 mph for jeep and travels 199.5 miles in 3.5 hours
x+9=66 mph for B and travels 198 miles in 3 hours
Step-by-step explanation:
speed of jeep=x, time is >>>>> t+0.5 in hours or 3.5 hours here
speed of B=x+9, time is >>>>>>>>>>>> 3 hours
distance is >>>>>>>>> speed time
Hope it Helps.
Answer on: june 11, 2021
Is this statemate true or false?
All parallelograms are special kinds of squares.
What is the answer to this question?
9/12= 0.75
8.00 * 0.75 = 6.00
the 9" costs $6.00
A pile of dirt is cone shaped and it has a height of 10 feet and a diameter of 24 feet. Find the volume. * The answer is NOT 1570.96 or 1570.2*
Please, show me how to solve this. Find the limit as x approaches −8 for the function f(x)=5x+12.
A chemist has three different acid solutions. The first acid solution contains
25%
acid, the second contains
40%
and the third contains
60%
. He wants to use all three solutions to obtain a mixture of
60
liters containing
45%
acid, using
3
times as much of the
60%
solution as the
40%
solution. How many liters of each solution should be used?
Simplify Negative 3 over 2 ÷ 9 over 6.
find the binomial coefficient: 2012/2011
The binomial coefficient '2012 choose 2011' is calculated using the formula C(n,k) = n! / [(n-k)! * k!]. After substituting the respective values into the formula, we find that the binomial coefficient of '2012 choose 2011' is 2012.
Explanation:The binomial coefficient, often referred to in Mathematics, is generally expressed as 'n choose k' and calculated using the formula: C(n,k) = n! / [(n-k)! * k!]. In this formula, the '!' denotes factorial which means the product of an integer and all the integers below it.
However, the student's question seems to be asking for the binomial coefficient of '2012 choose 2011', which is misinterpreted as a fraction instead.
To calculate it correctly, we would apply the formula mentioned before: C(2012,2011) = 2012! / [(2012-2011)! * 2011!]. Because 2012-2011 equals 1, this simplifies our calculation. The factorial of 1 is 1 itself. Thus, C(2012,2011) = 2012!/ (1! * 2011!), which simplifies to be 2012. So the binomial coefficient of '2012 choose 2011' is 2012.
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Will someone please answer this??
Your science quiz had 17 questions and you answered 13 of the questions correctly. What is your present score?
dived 13 by 17
13/17 = 0.7647
= 76.47%
if you need to round the number it would be 76%, which is a 76 grade
Triangle XYZ is reflected across the line x = 3. What is the reflection image of X?
Answer:
It's (7,5)
Step-by-step explanation:
Write as a single power: 4^20 + 4^20 + 4^20 + 4^20
Which number is a prime number? 21,22,23,24
If marc ABC = 184°, what is m∠ABC?
the angle is 1/2 of the arc
184/2 = 92 degrees
It would be half of the intercepted arc which is
360-184 = 176
176/2 = 88 degrees
If f(x) is a nth degree polynomial then F^(n+1)(x)=0. True or false and why
Final Answer:
The given statement “If f(x) is a nth degree polynomial then [tex]F^{(n+1)(x)=0[/tex]. True or false and why” is false because the (n+1)st derivative being zero is contingent on the specific value of the leading coefficient in the polynomial. It is not a general rule for all nth degree polynomials.
Explanation:
The statement [tex]\(F^{{(n+1)}(x) = 0\)[/tex] is not universally true for all nth degree polynomials (f(x)). To understand why, consider a general nth degree polynomial [tex]\(f(x) = a_nx^n + a_{n-1}x^{n-1} + \ldots + a_1x + a_0\)[/tex], where [tex]\(a_n\)[/tex] is the leading coefficient and [tex]\(a_n \neq 0\)[/tex].
The nth derivative of (f(x)) can be expressed as [tex]\(f^{(n)}(x) = n! \cdot a_n\).[/tex]Now, the (n+1)st derivative, [tex]\(f^{(n+1)}(x)\)[/tex], will be zero if and only if the leading coefficient [tex]\(a_n = 0\)[/tex]. However, this condition is not satisfied in general, as [tex]\(a_n\)[/tex] is assumed to be nonzero for a nontrivial polynomial. Therefore, the (n+1)st derivative is not guaranteed to be zero for all nth degree polynomials.
In mathematical terms,[tex]\(F^{(n+1)}(x)\)[/tex] equals zero if and only if the leading coefficient of (f(x)) is zero, but this is not a universal characteristic of nth degree polynomials. Consequently, the statement is false, and the (n+1)st derivative may not be zero for all x in the domain of the polynomial.
A potter use 4/5 of a pound of clay to make a bowl.How many bowls can the potter make from 12 pounds.
12/1 / 4/5=
12/1 * 5/4 =
60/4 = 15
they can make 15 bowls
Five individuals, including a and b, take seats around a circular table in a completely random fashion. suppose the seats are numbered 1, . . . , 5. let x = a's seat number and y = b's seat number. if a sends a written message around the table to b in the direction in which they are closest, how many individuals (including a and
b.would you expect to handle the message?
The number of individuals you would expect to handle the message is 2.5.
Joint probability distributionLet Z represent the number of individuals that handle the message
Table for the possible joint value of X and Y
Z Y
1 2 3 4 5
X 1 - 2 3 3 2
2 2 - 2 3 3
3 3 2 - 2 3
4 3 3 2 - 2
5 2 3 3 2 -
Each cell contain=1/4×1/5=1/20
Hence:
Number of individual=10×2×1/20+10×3×1/20
Number of individual=20×0.05+30×0.05
Number of individual=2.5
Therefore the number of individuals you would expect to handle the message is 2.5.
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what is the answer ?
A local carpet company has been hired to carpet a planetarium which is in the shape of a circle. If the radius of the planetarium is six yards, and the cost of the carpet is $14 per square yard, find the total cost to carpet the planetarium.
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 35 liters per minute. There are 700 liters in the pond to start. Let W represent the total amount of water in the pond (in liters), and let T represent the total number of minutes that water has been added. Write an equation relating W to T . Then use this equation to find the total amount of water after 19 minutes.
An equation relating W to T is,
W = 700 + 35T
And, Total amount of water after 19 minutes is, 1365 liters
We have to given that,
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 35 liters per minute.
There are 700 liters in the pond to start.
Now, Let W represent the total amount of water in the pond (in liters), and let T represent the total number of minutes that water has been added.
Hence, an equation relating W to T is,
W = 700 + 35T
So, For T = 19 minutes,
W = 700 + 35 x 19
W = 700 + 665
W = 1365
Therefore, Total amount of water after 19 minutes is, 1365 liters
Learn more about the function visit:
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is 5.21 a rational number
which is larger 2/3" x 3-7/16" or 0.6"L x 3.43"W?
Let f(x) = -20x2 + 14x + 12 and g(x) =5x-6 Find f/g and state its domain a. 5x - 6; all real numbers except x =6/5 b. 5x - 6; all real numbers c. –4x – 2; all real numbers except x =6/5 d. –4x – 2; all real numbers
Final answer:
To find f/g, divide each term in f(x) by g(x). Resulting in f(x)/g(x) = -4x - 2 with the domain being all real numbers except x = 6/5. Hence, the correct answer is c. -4x - 2; all real numbers except x = 6/5.
Explanation:
To find the function f/g, we divide the function f(x) by g(x). Given f(x) = -20x2 + 14x + 12 and g(x) = 5x - 6, we divide these to get:
f(x)/g(x) = (-20x2 + 14x + 12) / (5x - 6)
Dividing each term in f(x) by g(x):
f(x)/g(x) = -4x - 2
The domain of this function would be all real numbers except where g(x) = 0, since we cannot divide by zero. g(x) = 0 when x = 6/5. Thus, the domain is all real numbers except x = 6/5.
The correct answer to the student's question is therefore c. -4x - 2; all real numbers except x = 6/5.
Write the equation in spherical coordinates. 3x + 2y + 3z = 1
Zooey predicts the movie will be 90 minutes long. If the movie actually is 102 minutes long, what is Zooey's percent error? Round your answer to the nearest tenth of a percent.