The derivative of the equation will be y' = 5y/x + 2y cot (2x) - 4y tan (4x).
What is differential equation?An equation containing derivatives of a variable with respect to some other variable quantity is called differential equations.
The derivatives might be of any order, some terms might contain product of derivatives and the variable itself, or with derivatives themselves.
They can also be for multiple variables.
y = x⁵ sin(2x ) cos(4x)
The differentiation;
y' = d/dx (x⁵ sin (2x) × cos (4x) + x⁵ sin(2x) ). × d/dx (cos(4x) )
y' = 5x⁴ sin(2x) cos(4x)+2x⁵ cos(2x) cos(4x) -4x⁵ sin(2x) sin(4x)
From the given equation;
y' = 5y/x + 2x⁵ cos(2x) cos(4x) - 4x⁵ sin(2x) sin(4x)
y' = 5y/x + 2y cot (2x) - 4y tan (4x)
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A biologist wants to compare the proportions of rainbow trout infected with whirling disease (an illness of
trout and salmon caused by a microscopic parasite) coming from two separate watersheds. For each
watershed, the biologist will collect a random sample of trout and record the proportion infected in the
sample. The biologist intends to estimate the difference for all trout in the two watersheds. Assuming all
conditions for inference are met, which of the following is the most appropriate method for the biologist to
use to analyze the results?
A
A one-sample z-interval for a population proportion
B
A one-sample z-interval for a sample proportion
с
A one-sample z-interval for a difference in sample proportions
D
A two-sample z-interval for a difference in population proportions
E
A two-sample z-interval for a difference in sample proportions
Answer:
D
Step-by-step explanation:
Because, the biologist wants to find the difference between the population of trouts from two watershed,
A biologist wants to compare the proportions of rainbow trout infected with whirling disease (an illness of trout and salmon caused by a microscopic parasite) coming from two separate watersheds.
The biologist will collect a random sample of trout and record the proportion infected in the sample The biologist intends to estimate the difference for all trout in the two watersheds
According to the given question, the most appropriate method for the biologist will be -A two-sample z-interval for a difference in population proportions
Because,Biologist wants to compare the proportions of rainbow trout infected with whirling disease and find the difference between the population of the trouts from two watershed .
Therefore , Statement D is the Correct
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A computer has the shape of a rectangular solid. Find the volume of the computer, with dimensions by 2 inches by 2 inches by 2.7 inches
What is the volume of the computer?
Answer:
10.8 in³
Step-by-step explanation:
2x2x2.7=10.8
Use the Remainder Theorem to evaluate f(10) for:
f(x) = 2x^3 – 14x^2 - 56x - 40
Step-by-step explanation:
Since we are told that 10 is a zero,
(x−10) must be a factor:
F(x)=2x3−14x2−56x−40
F(x)=(x−10) (2x2+6x+4)
F(x)=2(x−10)(x2+3x+2)
F(x)=2(x−10)(x+2)(x+1)
So the other two zeros are
x = -2 and x= −1
PLEASE HELP ASAP!!!!
Tyra made 8 fewer jackets than zack they made 48 jackets altogether how many jackets did zac make
Answer:
Zac Made 28 Jacket
okay have a nice day.
a flower garden is in the shape of a right triangle. The longest side of the triangle measures 13 meters. One of the shorter sides is 7 meters longer than the other. Determine the length of the shortest side
Answer:
5
Step-by-step explanation:
PLZ HELP! Sorry about the terrible picture but I had to take it quick cuz I need an answer fast.
Answer:
it will 90° because it is making right angle at C
Answer:
40 digree is the answer
brooo I think it will help u
x -1 < -4
What is ittttttttt
Answer:
x<-3
Step-by-step explanation:
x-1+1<-4+1
x<-3
(6x + 6) + (-3 - 4x)
Answer:
2x+3
Step-by-step explanation:
[tex](6x+6)+(-3-4x)=2x+3[/tex]
Someone please help me I’ll give out brainliest please dont answer if you don’t
I am in need of help please.
Answer:
80 ft
Step-by-step explanation:
i dont really know if this is the right answer plz tell me if im wrong
-3/10+-1/5
-18/15 x 5/-4
3/8 divided by -1/4
Please give a little bit long answer but not a single answer
Step-by-step explanation:
-3/10+ -1/5
find the common denominator. on that case its 10
10 into 10 that's 1 so 3 remain 3 . then 5 into 10 its 2 so 1×2=2
-3/10 + -2/10
-3+-2
-3-2= -5
-5/10= -1/2
Ans is -1/2
-18/15 ×5/-4
you cross multiply. 5into 15 to get a denominator 3 then -4/2=-2 denominator. -18/2=-9. you multiply 3×-2=-6 then we are left with
-9/-6= -3/-2=1 and half
Ans is 1 1/2 (one and 1 half ).
3/8÷ -1/4
you spin -1/4 to -4/1 inorder to change the sign to a multiplication sign.
3/8 × -4/1 1
cross multiply to get -3/2
-3/2 = - 1 1/2
Ans : 1 1/2 ( one and one half )
pliz mark my answer branliest
can u pls help me on the question pls bc im having trouble with the question
Answer:
its -3 or |3|
Step-by-step explanation:
jrjfjfjfjfjfjfjfjfjf
Answer: The answer is B. -3.
Step-by-step explanation:
WILL MARK BRAINLIEST AND EXTRA POINTS ONLY HAVE 5 MINS
Answer:
1/3?
Step-by-step explanation:
using the midpoint formula find the coordinates of the midpoint 9f each sigment with end points (4,2),(-5,-1)
Answer:
The midpoint of the segment is (-0.5,0.5).
Step-by-step explanation:
Midpoint of a segment:
The midpoint of a segment is given by the mean of its coordinates.
Segment with end points (4,2),(-5,-1)
x-coordinates: 4 and -5
y-coordinates: 2 and -1
x-coordinate of the midpoint:
[tex]x = \frac{4-5}{2} = -\frac{1}{2} = -0.5[/tex]
y-coordinate of the midpoint:
[tex]y = \frac{2-1}{2} = \frac{1}{2} = 0.5[/tex]
The midpoint of the segment is (-0.5,0.5).
I need to know the area of this triangle
Answer:
the area is 4 square
Step-by-step explanation:
beacuse of the shape
what is aquifelent to 3 mi
What measurement do you need? For ft it's 15840
Answer:
I do not know
Step-by-step explanation:
I do not know
Subtract. (−2+5i)−(−2+9i) Enter your answer in the box.
Answer:
-4i
Step-by-step explanation:
Answer:
14i
Step-by-step explanation:
(-2+5i)-(-2+9i)
remove () because they are unneeded
-2+51--2+9i
-2+5i+2+9i
0+14i
14i
Express the function h(x)= 1/x-6 in the form of f o g. If g(x)=(x-6), find the function f(x).
Answer:
f(x) = 1/x
Step-by-step explanation:
h(x) = f(g(x)) = f(x-6) = 1/x-6
1/x-6 could only be accomplished if f(x) = 1/x
Assuming f(x) = 1/x and g(x) = x-6, f(g(x)) = f(x-6) = 1/x-6
Since f(g(x)) = 1/x-6 = h(x), we've proven that f(x) = 1/x.
The given functions are illustrations of a composite function, where the function f(x) is:
[tex]f(x) = \frac{1}{x}[/tex]
Given that:
[tex]h(x) = \frac{1}{x - 6}[/tex]
[tex]g(x) = x - 6[/tex]
f o g can be written as f(g(x))
So, we have:
[tex]h(x) = f(g(x))[/tex]
Rewrite as:
[tex]f(g(x)) = \frac{1 }{x - 6}[/tex]
Substitute g(x) for x - 6
[tex]f(g(x)) = \frac{1 }{g(x)}[/tex]
Replace g(x) with x
[tex]f(x) = \frac{1}{x}[/tex]
Hence, the function f(x) is: [tex]f(x) = \frac{1}{x}[/tex]
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Answer this question for 25 points
Answer:
49
Step-by-step explanation:
i see the other answer is absolutely useless
Marble:Stone
6 : 7
42 : 49
therefore there are 49 stones
Answer:
49
Step-by-step explanation:
42 ÷ 6 is 6
7 x 7 is 49
so its 49
Which comparison is correct?
151 >>7
07<171
1-31 >|-41
0-5<-4
Answer:
151>7 is correct
Step-by-step explanation:
An international company has 25,800 employees in one country. If this represents 31.1% of the companies employees, how many employees does it have in total?
Answer:
Rounded to the nearest integer, the company has a total of 82,958 employees.
Step-by-step explanation:
Given that an international company has 25,800 employees in one country, if this represents 31.1% of the companies employees, to determine how many employees does it have in total, the following calculation must be performed:
31.1 = 25,800
100 = X
100 x 25,800 / 31.1 = X
2,580,000 / 31.1 = X
82,958.1 = X
Thus, rounded to the nearest integer, the company has a total of 82,958 employees.
Write 1/200 as a percent.
Answer:
0.5%
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{In order for you to convert fractions into percentages you have DIVIDE}\\\large\text{the NUMERATOR from DENOMINATOR, whatever its outcome is}\\\large\text{MULTIPLY it by 100}[/tex]
[tex]\mathsf{\dfrac{1}{100}=1\div100\rightarrow \bf{0.005}}\\\\\\\mathsf{0.005\times 100 = 0.5\%}\\\\\\\boxed{\boxed{\large\text{Answer: \bf{0.5\%}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Joanna is selling tickets for the school play $he ha$ already $old $35
worth of tickets. $he ha$ seven ticket$ left to sell for $5 per ticket. write
function to describe the total amount of money collected if she sells every single ticket
Answer:
okay, so given we have that she has already sold $35 worth of tickets. We know that she has seven tickets left to sell, and each is worth $5. So, we would do 7×$5=$35
Next, we would add $35(from the previous money she has made) and $35 (the money she just made from the 7 tickets) and that would equal $70
equation: y=35+7(5)
Step-by-step explanation:
I hope this helps! ^^
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What is the area of the parallelogram?
Step-by-step explanation:
to find the area of a parallelogram multiply the base by the height. multiply so 8x4= 32. but thats not it, ill come back when i get it or ask a tutor
Answer:
A=bh
Step-by-step explanation:
2^x=1/128 solve the equation
Answer:
x = − 7
Step-by-step explanation:
y = 4.5*x^2-9*x+8.5;4.5;-9;8.5
-(((-9)^2-(4*4.5*8.5))/(4*4.5))
-(-9/(2*4.5))
4.5*0^2-(0*9)+8.5
(7*x^5-(5*x^7))^(1/2)+1/((7*x^5-(5*x^7))^(1/2))
A manufacturing machine has a 10% defect rate. If 3 items are chosen at random, what is the probability that at least one will have a defect
Answer:
0.271 = 27.1% probability that at least one will have a defect
Step-by-step explanation:
For each item, there are only two possible outcomes. Either they have a defect, or they do not. Items are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A manufacturing machine has a 10% defect rate.
This means that [tex]p = 0.1[/tex]
3 items are chosen at random
This means that [tex]n = 3[/tex]
What is the probability that at least one will have a defect?
This is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.1)^{0}.(0.9)^{3} = 0.729[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.729 = 0.271[/tex]
0.271 = 27.1% probability that at least one will have a defect
What is the area of this parallelogram
Answer:
B. 12.25
Step-by-step explanation:
A=bxh=3.5·3.5=12.25
Answer:
17.15
Step-by-step explanation:
There are 2 ways to solve this.
One way is this:
Add 1.4 and 3.5 together to get the total length of the parallelogram. The sum would be 4.9. Then multiply this number by the height of the figure(3.5cm). So that the product of 4.9 and 3.5 is 17.15.
The second way is this:
Find the area of the two triangles and the square and then add those products together. So add:
1.4 x 3.5 ÷21.4 x 3.5 ÷23.5 x 3.5So solve this equation and you will get:
2.45 + 2.45 + 12.25=17.15Amy , bill and Claire share an amount of money in the ratio 5:7:8
Answer:
7/20
Step-by-step explanation:
add the number up which is 20 and the purpose of bill is the middle of 7 is middle in the ratio
106 lb decreased by 5% is
2.
(06.01)
Which of the following shows the correct evaluation for the exponential expression 6 over 7 to the power of 2 ? (2 points)
6 over 7 plus 2 equals 2 and 6 over 7
6 over 7 times 2 equals 12 over 7 which equals 1 and 5 over 7
6 over 7 times 6 over 7 equals 36 over 49
6 over 7 divided by 2 equals 6 over 14
Answer:
C/3rd
Step-by-step explanation: