Assuming you're equipped with the error function,
[tex]\mathrm{erf}(x)=\displaystyle\frac2{\sqrt\pi}\int_0^x e^{-u^2}\,\mathrm du[/tex]
whose derivative is
[tex]\dfrac{\mathrm d}{\mathrm dx}\mathrm{erf}(x)=\dfrac2{\sqrt\pi}e^{-x^2}[/tex]
by substituting x = √y, so that x ² = y and 2x dx = dy, we have
[tex]\displastyle\int\sqrt y e^{-y^3}\,\mathrm dy=\int 2x^2 e^{-x^6}\,\mathrm dx[/tex]
Then if u = x ³ and du = 3x ² dx, we have
[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\int\frac23 e^{-u^2}\,\mathrm du[/tex]
[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\frac{\sqrt\pi}3\mathrm{erf}(u)+C[/tex]
[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\frac{\sqrt\pi}3\mathrm{erf}(x^3)+C[/tex]
[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\boxed{\frac{\sqrt\pi}3\mathrm{erf}\left(y^{\frac32}\right)+C}[/tex]
If you're not familiar with the error function, unfortunately there is no elementary antiderivative...
Find the value of each expression.
-22+5
Answer:
-17
Step-by-step explanation:
Factor out the negative sign
Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from the larger.
-(22 - 5)
Subtract
-(22 - 5) = - 17
John is going camping, and he needs to buy a tent. The outdoor store has one that cost $90, but it's on sale for 25% off. What is the sale price? * A.$22.50
B.$65.00
C.$67.50
B.$112.50
Answer: C. $67.50
Explanation:
1. Convert 25% into a decimal (0.25)
2. Multiply 90 by 0.25 to get the amount of money discounted. (90x0.25=22.5=$22.50)
3. Subtract 22.5 from 90 to get the sales price. (90-22.5=67.5=$67.50)
The circle below is centered at the point (4, 3) and has a radius of length 5.
What is its equation?
Answer:
[tex](x-4)^{2} + (y-3)^{2} = 5^{2}[/tex]
Step-by-step explanation:
Equation is circle is given as
[tex](x-x_1)^{2} + (y-y_1)^{2} =r^{2}[/tex]
Here [tex](x_1. y_1)=(4, 3)[/tex] and [tex]r=5[/tex]
Equation of circle with center at (4, 3) and radius 5 can be written as
[tex](x-4)^{2} + (y-3)^{2} = 5^{2}[/tex]
What is the total length of all meteors that are 1 6/8 inches?
Answer:
3 4/8
Step-by-step explanation:
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1
Why isn’t a good idea to study in bed?
Answer;
because you can get tired and start falling a sleep. their should be a place where you work with lights so you dont go to sleep.
100% edg
Answer: Working or doing homework in bed will reduce one's focus because most people tend to associate their beds with comfort and sleep. Doing such activities in bed can lead to a deviation of the brain to become more lazy and possibly fall asleep.
Disadvantages of studying in bed includes issues related to posture and concentration. Hence, studying in bed often ;
Induces sleep and weariness Inappropriate posture required for studying and assimilation.A bed is primarily meant for sleeping while desks and chairs are made for studying. The difference in the build is due to the purpose of nature of each activity. Studying in an environment meant for sleeping would most likely induce sleep.
Similarly the structure or design of a bed isn't appropriate for studying and may likely affect the rate of assimilation.
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I need help please I will mark you brainliest
Answer:
A
Step-by-step explanation:
10^-3 will make it negative and then 10^3 because it is less then 10^7
Answer:
A
Step-by-step explanation:
Because all three of these are 7.68x10^a power the determining factor in which one is the greatest is based on which one has the largest exponent -3<3<7 so this is the order from least to greatest.
1) The perimeter of a square is 16 inches. What is the length of each side?
4 inches
8 inches
64 inches
32 inches
Done >
Make 500$ !!!!
9th grade homework comment if your down
Answer:
What? im totally confused
Step-by-step explanation:
Answer:
Im comfusesd to
Step-by-step explanation:
2. The cost of a home entertainment center is $4700. We can finance this by paying $300 down and
$388.67 per month for 12 months.
a. Determine the amount financed.
b. Determine the total installment price.
c. Determine the finance charge.
Answer:
well. 372.
You don't have to buy a house. It doesn't really matter tho
You can live in an apartment or even hotel/motel. Enjoy
Step-by-step explanation:
Nngdyjjgdeujjjhhh yffggyhvd of gfuff
Answer:
8x3 to the 6th degree minus 4th5 odd one under.
Step-by-step explanation:
In the equation z + 4 = 44, what is the next step in the equation solving sequence?
Move the constant to the right side of the equation.
Isolate the variable through inverse operations.
Combine like terms.
Identify and move the coefficient or variable.
Answer:
Isolate the variable through inverse operations.
Step-by-step explanation:
Subtract 4 from both sides:
z + 4 - 4 = 44 - 4
z = 40
Christian conducted a survey to find the favorite hobby of her classmates from 4 choices. He surveyed the same number of girls as boys. The table
shows his results
Name Number of Boys Number of Girls
Cooking
5
6
Drawing
4
5
Reading
10
10
Hiking
6
4
Which of the following statements about the data is true?
More girls than boys prefer hiking.
O Fewer students prefer reading than prefer cooking,
Twice as many sutdents prefer reading than prefer hiking,
The hobby that the most boys prefer is different than the hobby that most girls prefer
Answer:
Twice as many students prefer reading than prefer hiking,
Step-by-step explanation:
Combined reading is 20 and hiking is 10
Please give me the brainliest
What is y=-6x-8 in standard form
Answer:
Standard Form y=-6x-38. y=−6x−38 y = - 6 x - 38. The standard form of a linear equation is Ax+By=C A x + B y = C .
Step-by-step explanation:
14 is what percent of 140
Answer:
10
Step-by-step explanation:
Answer:
10%
Step-by-step explanation:
140 100
14 x
-Cross-multiply
[tex]\frac{100*14}{140}[/tex]=10
Hiroshi found that 3/5 of his class prefers vanilla ice cream, 26% prefers chocolate ice cream, and 0.14 prefers strawberry ice cream. Put the numbers in order from least to greatest. Which kind of ice cream do the least number of students prefer?
help asappp!!!
Answer:
The kind of ice cream the least number of students prefer is Strawberry ice cream.
Step-by-step explanation:
We convert all given values to decimal
Hiroshi found that:
a) For vanilla ice cream
3/5 of his class prefers vanilla ice cream
3/5 to decimal = 0.6
b) For Chocolate ice cream
26% prefers chocolate ice cream
26% to decimal = 0.26
c) For strawberry ice cream
0.14 prefers strawberry ice cream
0.14 = 0.14
Arranging the numbers in order from least to greatest, we have :
0.14, 0.26 , 0.6
The kind of ice cream the least number of students prefer is Strawberry ice cream.
(a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop (in dollars). What is the margin of error (in dollars)
Answer:
The margin of error (E) [tex]=0.49[/tex]
Step-by-step explanation:
Given,
mean [tex]\bar{x}=6.88[/tex]
standard deviation [tex]\sigma=1.90[/tex]
sample size [tex]n=41[/tex]
[tex]90\% \quad \text{confidence interval}[/tex]
Critical value [tex]=\frac{z_\alpha}{2}\quad \quad\quad[\because\;\alpha=1-\text{confidence interval}][/tex]
[tex]=1-0.90[/tex]
[tex]\Rightarrow \alpha=0.1[/tex]
Critical value [tex]=\frac{z_{0.1}}{2}[/tex]
[tex]=z_{0.05}[/tex]
[tex]=1.645[/tex]
The margin of error (E) [tex]=\frac{z_\alpha}{2} \times\frac{\sigma}{\sqrt{n} }[/tex]
[tex]=1.645\times\frac{1.90}{\sqrt{41} }[/tex]
[tex]=0.49[/tex]
Hence, The margin of error (E) [tex]=0.49[/tex]
Complete question is attached in below.
Find the area of the composite figure.
Please help me!!
Answer:
1,824 sq inches
Step-by-step explanation:
area of rectangle: 48 x 32 = 1536
area of triangle: (48 x 12) / 2 = 288
PLEASE HELPPP You can multiply -2.2 by 6.2 to find the total variation in water level. What decimal represents the total variation in water level that Ericka observed?
Answer:
the answer is -13.64
Step-by-step explanation:
that's the answer
I need help with this question!
9514 1404 393
Answer:
x = 87x = 5611x -5 = 83Step-by-step explanation:
Consecutive interior angles have a sum of 180°, so ...
(41 +7x) +(11x -5) = 180
18x +36 = 180 . . . . . . . . . simplify
x + 2 = 10 . . . . . . . . . . . . divide by 18
x = 8
The angle 7x is then ...
7x = 7(8) = 56 . . . . degrees
The angle 11x -5 is ...
11x -5 = 11(8) -5 = 83 . . . . degrees
__
Check
41 + 56 + 83 = 97 +83 = 180 . . . . as required
Answer:
According to the above problem
[tex](7x) + (11x - 5) + 41 = 180 \\ 18x = 180 + 5 - 41 \\ 18x = 144 \\ \boxed{x = 8}[/tex]
Therefore, the angles are 41°, 56° and 83°.
Choose the correct problem for the fraction
7/8
A.7divide10
B.7multiply8
C.8divide7
D.7divide8
Answer:
d
Step-by-step explanation:
dont choose mine just yet but i think it is correct
The correct problem for the fraction 7/8 is 7 divided by 8.
Option C is the correct answer.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
7/8
This is 7 divided by 8.
Thus,
7 divided by 8 is a fraction of 7/8.
Learn more about fractions here:
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What does "solution" mean?
What does it mean for a point to be a solution to a linear
equation?
For example, if I say, " (2,5) is a solution to the
equation y = 2x + 3," how could you check my claim?
Answer:
A solution to a linear equation means that the ordered pair is a point that lies on that line.
If someone were to say (2,5) is a solution to the equation y= 2x+3, you could check them by plugging in 2 where the variable "x" and seeing if y =5.
In this case,
y= 2(2)+3
y=7
(2,5) is not a solution.
Please help me answer this
Explain you’re answer
Will give braisnlt
Sheldon needs to buy 8 gallons of ice cream for a family reunion. The table shows the prices for different sizes of two brands of ice cream.
Answer:
theres no picture so how will we know
Step-by-step explanation:
post the picture first
How to find the scale factor of two triangles using the sides?
Answer:
You can find the scale factor of two triangles by using the ratio of two corresponding sides, so if you begin with smaller figure, your scale factor will be less than one and if you begin with larger figure, your scale factor will be bigger than one.
Step-by-step explanation:
Please answer this correctly without making mistakes
Answer:
16
Step-by-step explanation:
The distance is given by
d = sqrt( (x2-x1) ^2 + ( y2-y1) ^2)
Since the x values are the same
d = sqrt( ( y2-y1) ^2)
d = sqrt( (( -6 - 10)^2))
d = sqrt((-16) ^2)
d = 16
We can also just find the number of squares between the points since the x value is the same.
10 - -6
10+6
16
Answer:
16
Step-by-step explanation:
10 - -6 = 10 + 6 = 16
Which of the following must be true for the parallelogram shown below?
Answer:
DAB = BCD
Step-by-step explanation:
DAC = BAC = 90 degrees and DAB = ABC = 90 degrees don't work because they're both equilateral triangles and don't have a right angle that would equal 90. DAB = ABC are clearly not congruent so the answer is DAB = BCD. Also DAB = BCD share the same midsection line.
using 250mililitres measuring cylinder, how many 250mililitres will give you 4litres
Answer:
sixteen 250 millilitres
Step-by-step explanation:
250 millimetres = 1/4 litre
4 litres = 16 one-fourth litres
PLZ MARK AS BRAINLIEST
Please help me I really need help right now
Answer:
3 5/12
Step-by-step explanation:
3 4/12+(-2 3/12)+1 10/12=3 5/12. 12 is the least common denominator
The shop stocks 3 times as many Coca-Colas as Coke Zeros. There are a total of 36 on the shelf. How many of each type of drink are there?
Please explain thank youu!
Answer
There are 12 coke zeros and 24 coca-colas
Step-by-step explanation:
If there are 36 drinks in total and the shop stocks 3 times as many cokes than coke zeros you would have to divide 36 by 3 and that gets you 12 coke zeros and to check your work you can do 12 times 3 which would be 3 times the cokes which makes a total of 36 and 36 - 12 = 24 cokes.
Saturday Sunday
Minutes
32
Miles
3
4
I
