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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Write the phrase as an expression.
the product of 3 and 12
An expression is
Step-by-step explanation:
Product of 3 and 12 means 3 multiplied by 12
which is equal to 12*3
Hope it helps!
Answer:12+3 or 3 + 12
Step-by-step explanation:in math and means adition so
12 and 3 as an expression would be 12 +3
Solve the following proportion:
X + 5 7
X – 4 10
Answer:
x = −26
Explanation:
Solve for x by cross multiplying.
Which of the following probabilities is the greatest for a standard normal distribution?
O P(-1.55zs-0.5)
O P(-0.5 Sz50.5)
P(0.5 <251.5)
O P(1.5 sz<2.5)
Answer:
B
Step-by-step explanation:
On edge
The probabilities is the greatest for a standard normal distribution is
P(-0.5 ≤ z ≤ 0.5) = 0.382.
What is Normal Distribution?An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically towards either extreme. The distribution's mean is another name for the centre of the range.
From the diagram attached below, we can write
1. P( -1.55 ≤ z ≤ -0.5)
= 0.092 + 0.15
= 0.242
or, 9.2%+15%=24.2%.
2. P( -0.5 ≤ z ≤ 0.5)
= 0.191 + 0.191
= 0.382
3. P( 0.5 ≤ z ≤ 1.5)
= 0.15 + 0.092
= 0.242
4. P( 1.5 ≤ z ≤ 2.5)
= 0.044 + 0.017
= 0.061
So, the greatest value is P(-0.5 ≤ z ≤ 0.5) = 0.382
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Find the area please :)))
Answer:
area would be 98.35
Step-by-step explanation:
the area is 98.35 units squared
____(4 - 2) = 8
Fill in the missing factor. Please help
Kevin answered 80% of the questions on his test correctly. if he answered 20 questions correctly. how many total questions were the test?
Answer:
There were 25 questions total on the test.
Step-by-step explanation:
Hope this helps!
Select the correct answer. A farmers' group conducted an experiment to determine which fertilizer is better for plant growth. One fertilizer contains a urea supplement, while the other does not contain the urea supplement. For the experiment, they randomly selected 20 plants of the same species growing in their area. The farmers tested the urea-enhanced fertilizer on 10 plants and the non-urea fertilizer on the other 10 plants. After three months, they reported their findings as shown.
Answer:
Step-by-step explanation:
at the bottom it has a key and the key shows blue that had the urea supplement and green with out. the graph has a higher amount of growth for the plants with the urea supplement and green with about half the growth.
so you could say something like this: over the course of three months the plants with the urea supplement had almost double the amount of growth the plants without the urea supplement did, over all the the urea increased the amount of growth the plants had over the 3 month time span. :)
The conclusion from the farmer's data can be made is the fertilizer with urea supplement is more effective than the fertilizer without it.
What is histogram?A histogram is the way of representation of data which is used to show the frequency distribution using the rectangle similar to bar graph.
Farmers' group conducted an experiment to determine which fertilizer is better for plant growth. One fertilizer contains a urea supplement, while the other does not contain the urea supplement.
For the experiment, they randomly selected 20 plants of the same species growing in their area. The farmers tested the urea-enhanced fertilizer on 10 plants and the non-urea fertilizer on the other 10 plants.
After three months, they reported their findings as shown. Let's understand what happen in each month,
In first month, 4 number of plants with above average growth with urea supplement, while only 2 plant shown this growth when urea is not supplied.In second month, 7 number of plants with above average growth with urea supplement, while only 4 plant shown this growth when urea is not supplied.In third month, 5 number of plants with above average growth with urea supplement, while only 3 plant shown this growth when urea is not supplied.Thus, the conclusion from the farmer's data can be made is the fertilizer with urea supplement is more effective than the fertilizer without it.
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(9, 19) (2, 16)
Write the coordinates as decimals or integers.
Answer:
In decimal 0.428571428
Step-by-step explanation:
The slope = (y2 - y1)/(x2 - x1) y2 = 16, y1 = 19x2=2 and x1=9
The slope = (16 - 19)/(2 -9)
The slope = (-3)/(-7)
The slope = 0.428571428
So in decimal form the coordinates are going to be written as 0.428571428
Slope is the steepness of a line, it is the difference between the y coordinates divided by the difference in x coordinates.
1/2x= Please tell me the anwser
Answer i think its 0.5 i searched it and thats what it said
Step-by-step explanation:
Which of the following decimals is equivalent to three and ten hundredths
Answer: 3.1 or 3.10
Step-by-step explanation:
3 and 10 hundredths = 3 + 10/100 = 3 + 0.10
3.10 / 3.1
Elevator ride: Engineers are designing a large elevator that will accommodate 56 people. The maximum weight the elevator can hold safely is 11,144 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 196 pounds and standard deviation 71 pounds, and the weights of adult U.S. women have mean 169 pounds and standard deviation 80 pounds. Use the TI-84 Plus calculator.
Part 1 of 3 (a) If 56 people are on the elevator, and their total weight is 11,144 pounds, what is their average weight? The average weight is pounds.X
Part 2 of 3 (b) If a random sample of 56 adult men ride the elevator, what is the probability that the maximum safe weight will be exceeded? Round the answer to at least four decimal places. The probability that the maximum safe weight will be exceeded is _______.
Part 3 of 3 (c) If a random sample of 56 adult women ride the elevator, what is the probability that the maximum safe weight will be exceeded? Round the answer to at least four decimal places. The probability that the maximum safe weight will be exceeded is________.
Answer:
a) The average weight is 199 pounds.
b) The probability that the maximum safe weight will be exceeded is 0.4840 = 48.40%.
c) The probability that the maximum safe weight will be exceeded is 0.3539 = 35.39%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
(a) If 56 people are on the elevator, and their total weight is 11,144 pounds, what is their average weight?
This is 11144 divided by 56, that is 11144/56 = 199 pounds.
Their average weight is 199 pounds.
(b) If a random sample of 56 adult men ride the elevator, what is the probability that the maximum safe weight will be exceeded?
The weights of adult U.S. men have mean 196 pounds and standard deviation 71 pounds, which means that [tex]\mu = 196, \sigma = 71[/tex]
11144 pounds is an average of 199 pounds, so this probability is 1 subtracted by the pvalue of Z when X = 199.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{199 - 196}{71}[/tex]
[tex]Z = 0.04[/tex]
[tex]Z = 0.04[/tex] has a pvalue of 0.5160
1 - 0.5160 = 0.4840
The probability that the maximum safe weight will be exceeded is 0.4840 = 48.40%.
(c) If a random sample of 56 adult women ride the elevator, what is the probability that the maximum safe weight will be exceeded?
The weights of adult U.S. women have mean 169 pounds and standard deviation 80 pounds, which means that [tex]\mu = 169, \sigma = 80[/tex]
11144 pounds is an average of 199 pounds, so this probability is 1 subtracted by the pvalue of Z when X = 199.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{199 - 169}{80}[/tex]
[tex]Z = 0.375[/tex]
[tex]Z = 0.375[/tex] has a pvalue of 0.6461
1 - 0.6461 = 0.3539
The probability that the maximum safe weight will be exceeded is 0.3539 = 35.39%.
Suppose that J and K are points on the number line. If Jk=5 and J lies at -12 where could K be located?
k would be located at
Shen started cleaning at 11:51 AM.
He finished at 1:29 PM.
How long did he clean?
hour(s) and minute(s)
Answer: 1 hour 38 minutes
Step-by-step explanation:
From 11:51 AM to 12:00 PM (noon)
9 minutes
from 12:00 PM to 1:00 PM
1 hour
1:00 PM to 1:29 PM
29 minutes
______________________________
9 minutes + 1 hour + 29 minutes
1 hour 38 minutes
4 divided by 3.2 show work
To divide 4 by 3.2, we can use long division.
Here's the step-by-step process:
1.25
___________
3.2 | 4.00
3.2 (subtract 3.2 from 4.00)
_______
8
6.4 (bring down the 0)
_______
16
16 (subtract 16 from 16, no remainder)
_______
0
Therefore, 4 divided by 3.2 is equal to 1.25.
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PLSSSSS HELP ME I WILL GIVE BRAINLIEST!!!!!!
A stop sign casts a shadow 8 feet long, while a school bus nearby casts a shadow 12 feet long. If the stop sign is 7 feet tall, how tall is the school bus?
11 I think
(someone correct if I am wrong plz)
Answer:
10.5
Step-by-step explanation:
7 = x
8 12
8x = 84
8 8
x = 10.5
A chess club with 80 members is electing a new president. Elsa received 64 votes. What percentage of the club members voted for Elsa?
Answer:
80%
Step-by-step explanation:
Give me good senior quotes, best one gets brainliest! : )
Answer:
“The roof is not my son, but I will raise it.” – Anonymous
“I’m gonna go stand outside. If anyone asks, I’m outstanding.” – Taylor Bass
(your name her) was released from his/her/their 4 year sentence
Can I get help with number 4?
What is really saying is solve the quadratic equation
[tex]-16t^2+64t+80=0 \\ t^2-4t-5=0 \\ (t-5)(t+1)=0 \implies t_1=5,t_2=-1 [/tex]
Hope this helps.
PLEASE HELP ME AND SHOW YOUR WORK
A cylinder has a height of 15 inches and a radius of 16 inches what is the volume
Simone buys slices of pizza that cost $1.25 each. She spends a total of $11.25 on them. Which
equation below could be solved to find the number of slices that Simone bought?
Those shortlisted are entered into a final game of chance. There are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). To win, a company needs to take out two golden balls. The first ball is not replaced.
What is the probability of any company winning advertising space on their volley ball team jerseys?
as a fraction?
Answer:
6 balls in a bag. 2 golden balls.
6 C 2 (C = combination)
6C2 = 6 x 5 x 4 x 3 x 2 x 1 / 2 x 1 x 4 x 3 x 2 x 1
= 3 x 5
= 15
denominator = 15
6 balls total 2 golden balls choose 2 balls only one possibility
answer = 1/15
For problems 4-9 find the circumference.
hi can you please help me with my work
Answer:
Answer is 8 and 3/4
Answer:
the answer would be 8 3/4 in
Please answer fast ASAP I give brainliest
Kerry wants to remodel his house by knocking down a wall between two adjacent rectangular rooms the dimensions of the rooms are shown on the blue print
Answer:
6x +12
Step-by-step explanation:
help please ! if false can you explain or show why
Answer:
False
Step-by-step explanation:
The sum of angles of a parallelogram is equal to 180°. So,
8x+3y+2x+(7x+18)=180
or
17x+3y = 180-18
17x+3y = 162
Put x = 44 and y = 18 in the above expression.
So,
17(44)+3(18) = 748+54
= 802
≠ 162
Hence, the given statement is false.
b) 144kg in the ratio 1 3.5
solve for x
x/45=3
:)
Answer:
135
Step-by-step explanation:
x×1=45×3
cross multiply
x=135
−5a – ( 6a + 3) + 8}
plz help show step by step
Answer:
11a+5
Step-by-step explanation:
-5a-6a-3+8
=11a+5
