Answer:
the answer is six thousand
what is the conjugate of 7+2√5
i don’t know how to do this please help
The following function is probability Distribution function.
F(x)=6x+1/25, x=0, 1, 2, 3, 4.
Determine the mean, μ, and variance, σ2, of the random variable. Round your answers to two decimal places.
Answer:
9.60 ; - 60.96
Step-by-step explanation:
Given the function :
F(x)=6(x+1) /25, x=0, 1, 2, 3, 4.
x = 0
F(0)=6(0+1)/25 = 6/25 = 0.24
x = 1
F(1)=6(1+1)/25 = 12/25 = 0.48
x = 2
F(2)=6(2+1)/25 = 18/25 = 0.72
x = 3
F(2)=6(3+1)/25 = 24/25 = 0.96
x = 4
F(2)=6(4+1)/25 = 30/25 = 1.2
X ______0 _____ 1 ______ 2 ______ 3 ____ 4
P(x) ___ 0.24 __ 0.48 ___ 0.72 ____ 0.96 __ 1.2
Mean, μ = Σx*p(x) :
(0*0.24) + (1*0.48) + (2*0.72) + (3*0.96) + (4*1.2)
= 9.60
Variance : Σx²*p(x) - μ²
(0^2*0.24) + (1^2*0.48) + (2^2*0.72) + (3^2*0.96) + (4^2*1.2) - 9.6^2
= 31.2 - 92.16
= - 60.96
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) cos(x) sin(2x) sin(x) dx
Answer:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{4x-sin(4x)}{16} +c[/tex]
Step-by-step explanation:
Given
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx[/tex]
Required
Evaluate
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx[/tex]
Rewrite as:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \int\limits {cos(x)\ sin(x)\ sin(2x)} \, dx[/tex]
In trigonometry:
[tex]sin(2x) = 2\ sin(x)\ cos(x)[/tex]
Divide both sides by 2
[tex]\frac{1}{2}sin(2x) = \frac{2\ sin(x)\ cos(x) }{2}[/tex]
[tex]\frac{1}{2}sin(2x) = sin(x)\ cos(x)[/tex]
[tex]\frac{1}{2}sin(2x) = cos(x)\ sin(x)[/tex]
Substitute [tex]\frac{1}{2}sin(2x)[/tex] for [tex]cos(x)\ sin(x)[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \int\limits {\frac{1}{2}sin(2x)\ sin(2x)} \, dx[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \int\limits {\frac{1}{2}sin^2(2x)} \, dx[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}\int\limits {sin^2(2x)} \, dx[/tex]
Let [tex]u = 2x[/tex]
Differentiate:
[tex]du = 2 \ dx[/tex]
Make [tex]dx[/tex] the subject
[tex]dx = \frac{1}{2}du[/tex]
Substitute [tex]\frac{1}{2}du[/tex] for [tex]dx[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}\int\limits {sin^2(2x)} \, \frac{1}{2}du[/tex]
Substitute 2x for u
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}\int\limits {sin^2(u)} \, \frac{1}{2}du[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}*\frac{1}{2}\int\limits {sin^2(u)} \, du[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}\int\limits {sin^2(u)} \, du[/tex]
At this point, we apply the reduction formula:
Which is:
[tex]\int\limits {sin^n(u)} \, du = \frac{n-1}{2}\int\limits sin^{n-2}(u)\ du\ - \frac{cos(u)sin^{n-1}(u)}{n}\du[/tex]
Let n = 2; So, we have:
[tex]\int\limits {sin^2(u)} \, du = \frac{2-1}{2}\int\limits sin^{2-2}(u)\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]\int\limits {sin^2(u)} \, du = \frac{2-1}{2}\int\limits sin^{0}(u)\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}\int\limits sin^{0}(u)\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]sin^0(u) = 1[/tex]
So, we have:
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}\int\limits 1\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
Integrate 1 with respect to u
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}u - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}u - \frac{cos(u)sin(u)}{2}\du[/tex]
Recall that:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}\int\limits {sin^2(u)} \, du[/tex]
So, we have:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}[ \frac{1}{2}u - \frac{cos(u)sin(u)}{2}\du][/tex]
Open bracket
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{8}u - \frac{cos(u)sin(u)}{8}[/tex]
Recall that: [tex]u = 2x[/tex] and [tex]du = 2 \ dx[/tex] [tex]dx = \frac{1}{2}du[/tex]
So, the expression becomes:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{8}2x - \frac{cos(2x)sin(2x)}{8}[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{cos(2x)sin(2x)}{8}[/tex]
Add constant c
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{cos(2x)sin(2x)}{8} +c[/tex]
----------------------------------------------------------------------------------------
In trigonometry:
[tex]sin(2\theta) = 2sin(\theta)cos(\theta)[/tex]
Divide both sides by 2
[tex]\frac{1}{2}sin(2\theta) = \frac{2sin(\theta)cos(\theta)}{2}[/tex]
[tex]\frac{1}{2}sin(2\theta) = sin(\theta)cos(\theta)[/tex]
Replace 2x with [tex]\theta[/tex]
[tex]\frac{1}{2}sin(2*2x) = sin(2x)cos(2x)[/tex]
[tex]\frac{1}{2}sin(4x) = sin(2x)cos(2x)[/tex]
----------------------------------------------------------------------------------------
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{cos(2x)sin(2x)}{8} +c[/tex] becomes
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{sin(4x)}{2*8} +c[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{sin(4x)}{16} +c[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{x}{4} - \frac{sin(4x)}{16} +c[/tex]
The solution can be further simplified as:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{4x-sin(4x)}{16} +c[/tex]
What is the definition of Spike protein?
Please helppp
Answer: a glycoprotein that protrudes from the envelope of some viruses (such as a coronavirus) and facilitates entry of the virion into a host cell by binding to a receptor on the surface of a host cell followed by fusion of the viral and host cell membranes
When three times a number is subtracted from 36, the result is 4 plus the number. What is the number?
Answer:
x = 8
The number is 8
Step-by-step explanation:
36 – (3x) = 4 + x
36 – (3 • 8) = 4 + 8
36 – 24 = 12
12 = 12
x = 8
I hope this helps.
3/4(8x -4) is equivalent to 3x - 2 + 3x - 1
true or flase
Answer:
true
Step-by-step explanation:
What is the length of arc S shown below? Enter an exact expression. The angle in the figure is a central angle in radians.
Answer:
h
Step-by-step explanation:
n
Answer:
the answer is 18π/5
Step-by-step explanation:
A Central angle (θ) measured in radians tells us how many times the radius fits into the arc.
arc length ÷ radius = θ
arc length = θ · radius
S = 3π/5 · 6 cm
S = 18π/5 cm
Therefore the answer is 18π/5
The ferris wheel with a diameter of 150 feet at the fair is out of control and is moving at 60 degrees per second. How many miles per hour is someone moving as it spins out of control?
*There are 5,280 feet in a mile.
Answer:
Step-by-step explanation:
combine like terms to make a simple Hi, equivalent expression: 14-3+8x+7x
Answer:
11+15x
Step-by-step explanation:
combine 14 - 3 and 8x + 7x = 11 + 15x
Hurry I am timed Which tiny, round “factory” puts together protein and is often found in the endoplasmic reticulum?
ribosome
chromosome
Golgi body
chloroplast
Answer:
the answer is ribsome
The ribosome serves as the site and carries the enzymes necessary for protein synthesis. They are often takes the shape of small round particles attached in the endoplasmic reticulum.
Can someone please work out both problems, I need help with my math hw due in 4 hours
Answer:
I hope this helps
Step-by-step explanation:
This is not the same exact question but it shows you the throw down.
A+B+C= 180
so if A=60 and B=70
The sin is= 8
so 60+70= 130
130+c=180
130-180= 50
C=50
If 18% of your Biology class received an A, how many students were in your Biology class if 9 students earned an A for the semester?
Answer:
50 students
Step-by-step explanation:
hope this helps, have a great day!
Jack had 3 bottles of soda. Each bottle held 2 1/2 cups of soda. How many cups of soda did he have total?
Answer:
1 1/5 cups of soda.
Step-by-step explanation:
To solve this you need to change 3 and 2 1/2 into improper fractions so you get 6/2 and 5/2. Then you have to flip 5/2 so it becomes 2/5 and then you just have to cross cancel. Since the 2 from 2/5 can go into the 2 in 6/2 one time, 2/5 changes into 1/5 and 6/2 changes to 6/1. Now you can multiply across so 6 times 1 is 6 and 1 times 5 is 5 so you get 6/5. Now you have to change it into a mixed number which would be 1 1/5.
I hope this helps you :D
In slope-intercept form, the equation of the line with a slope of 7 and a y-intercept of (0, -8) is ________
. Do not include spaces in your answer.
Answer:
y = 7x - 8
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 7
y-intercept b = -8
Step 2: Write Function
Substitute in parts.
y = 7x - 8
Given f(x) = (x + 5)2, find f(9).
O A. 28
O B. 196
O C. - 196
O D. 16
given f(x)=(x+5),findf(9)
0C.-196
Find the equation of this line
Answer:
y = x+6
Step-by-step explanation:
You can see that (0,6) and (1,7) are points on the line, and the y-intercept of the line is 6.
Use the coordinates of these points to find the slope of the line.
slope = (7-6)/(1-0) = 1
y-intercept = 6
Slope-intercept equation for line of slope 1 that has y-intercept of 6:
y = x+6
A loss of 10 pounds, can u help me please
Answer:
B
Step-by-step explanation:
Find the slope of the line through these two points: (-2, -1) and (10, 2).
[Write slope as a decimal, not a fraction.]
Answer:
[tex]y=0.25x-0.5[/tex]
Step-by-step explanation:
Firstly, the slope is [tex]\frac{3}{12} = 0.25[/tex], then you get the expression of the line.
B
6
8
A
х
D
с
x = [?]
9514 1404 393
Answer:
3
Step-by-step explanation:
The angle bisector BD makes left-side segments proportional to right-side segments. We see that CD is half of CB, so we expect the same proportion between AD and AB.
AD/AB = CD/CB
x/6 = 4/8 = 1/2 . . . . fill in the values, simplify the fraction
x = 6(1/2) . . . . . . . . multiply by 6
x = 3
help me agaiaiiaiaiaiiaiain im too lazy to answer them
Answer: (C
Step-by-step explanation: To evaluate this, solve by raising 7 to the power of 3.
7 x 7 x 7
7 x 7 = 49 x 7 = 343
Therefore, the answer is C.
Which expression shows a sum of three terms?
I will give the brainliest to the person so please answer!
A: 3x
B: 3+x
C: 3+x+9
D: x^3
Answer:
c shows 3
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Has three different terms.
how do you solve this equation:
7-3 2/3
Answer:
5
Step-by-step explanation:
Using the order operations, we go left to right, multiplying 3 by 2/3, giving us 2. Then we subtract 7 - 2 = 5.
Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x + 3)2 + 4?
left 3, up 4
right 3, down 4
left 3, down 4
right 3, up 4
Answer:
Left 3 down 4 is the correct answer so C
Answer:
B. right 3, down 4
Step-by-step explanation:
Snack Packets
Number
Cost
($)
2
1.60
3
2.40
5
4.00
8
6.40
Find the volume of a triangular prisim with the following dimensions.
Base= 5
Height= 3
Length= 8
Answer:
60³
Step-by-step explanation:
Hi again.
This time we are working with a triangular prism which is a bit trickier than a rectangular prism but it is still pretty easy once you know the formula.
The formula for a triangular prism is :
V = 1/2 x b x h x l
Or in full terms :
Volume = 1/2 x Base x Height x Length
So basically we are going to plug in the base , height, and width like we did before but this time at the end we are going to divide it in half.
So like last time, lets look at what we are given :
Base = 5
Height = 3
Length = 8
And now we put these numbers into the formula :
Volume = 1/2 x Base x Height x Length
Volume = 1/2 x 5 x 3 x 8
Lets save the 1/2 for last and do the others first.
So we can do 5 x 3 and get 15.
Then 15 x 8 and we get 120.
Now the equation is literally :
Volume = 1/2 x 120
(This is the same as 120 / 2 just in multiplication terms)
So lets do this :
120 / 2
=
60
So now we have your answer :
Volume = 60³
(Don't forget the little 3)
Again, I hope this helps!
Any questions or concerns please comment or message me ofc :)
Clare has 80 pencils and 56 erasers to give away. What is the largest number of group that can formed with the same numbers of pencils and erasers in each group?
Answer:
56
Step-by-step explanation:
I assume each person in the group must have 1 pencil AND 1 eraser each.
Since you have more pencils than erasers, then the limiting factor is the number of erasers. So a group of 56 people will have 1 pencil And 1 eraser and Clare will have 24 pencils left over (assuming Clare has her own pencil and eraser - if not then the group size is 55 assuming Clare is not in the group)
sorry if it's too confusing
People use water to cook, clean, and drink every day. An estimate of 17.3% of the water used each
day is for drinking. If a family uses 69.2 gallons of water a day for drinking, how many gallons do
they use every day?
Answer:
They use 4 gallons a day. Hope u helped!
Determine the correct value of 3x + 2 when x = 5. Show your work
Answer:
17
Step-by-step explanation:
3 multiply by 5 (which is x) = 15+2
The value of function 3x + 2 at x = 5 will be 17.
What is substitution method?
To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The function is,
⇒ 3x + 2
And, The value of x = 5
Now,
The value of the function 3x + 2 at x = 5 is find as;
The function is,
⇒ 3x + 2
Substitute x = 5 in above equation as;
⇒ 3x + 2
⇒ 3 × 5 + 2
⇒ 15 + 2
⇒ 17
Thus, The value of function 3x + 2 at x = 5 will be 17.
Learn more about the substitution method visit:
https://brainly.com/question/26094713
#SPJ6
Mentally solve 93 - 27 in as many ways as you can
Answer:
66
That is one way to solve it.
Answer:
93-27= 66
Step-by-step explanation:
Evaluate the expression x + 8/27. Evaluate the expression for x=8/9
Answer: 32/27
Step-by-step explanation:
x = 8/9
x + 8 /27
[tex]\frac{8}{9} + \frac{8}{27} \\\\\frac{8}{9} * 3 = \frac{24}{27}\\\\\frac{24}{27} + \frac{8}{27}\\\\\frac{24 + 8}{27} \\\\\frac{32}{27}[/tex]
Answer:
Substitute the value of the variable into the equation and simplify.
Exact Form:
32 /27
Step-by-step explanation:
