Differentiate the function with respect to x. Answer is B. I need the step. Thank you
Answers
Answer:
y(x) = integral(6 c^2 - 20 x^3)/(5 x^2 + 3) dx = -2 x^2 + 1/5 log(5 i x + sqrt(15)) (-i sqrt(15) c^2 + 6) + 1/5 log(-5 i x + sqrt(15)) (i sqrt(15) c^2 + 6) + k_1, where k_1 is an arbitrary constant.
Step-by-step explanation:
Rewrite the equation to -((6 c^2 - 20 x^3) dx)/(3 + 5 x^2) + dy = 0 and solve
Solve (dy(x))/(dx) = (6 c^2 - 20 x^3)/(5 x^2 + 3):
Integrate both sides with respect to x:
Answer: y(x) = integral(6 c^2 - 20 x^3)/(5 x^2 + 3) dx = -2 x^2 + 1/5 log(5 i x + sqrt(15)) (-i sqrt(15) c^2 + 6) + 1/5 log(-5 i x + sqrt(15)) (i sqrt(15) c^2 + 6) + k_1, where k_1 is an arbitrary constant.
Related Questions
find the volume of the cone. make sure to round
Answers
Answer: 333.29
V= ⅓Bh is how you would do it
A culture of bacteria has an initial population of 89000 bacteria and doubles every 8 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 11 hours, to the nearest whole number?
Answers
Answer:
230837
Step-by-step explanation:
Below, the two-way table is given for a class of students. Juniors Seniors Free Freshmen Sophomore Male 4 6 2 2. Female 3 4 6 3 Total If a student is selected at random, find the probability the student is a junior given that it's male. Round to the nearest whole percent.
Answers
Answer:
[tex]Pr = 7\%[/tex]
Step-by-step explanation:
Given
See attachment for graph
Required
Find P(Junior|Male)
To do this, we first calculate the total students.
[tex]Total = 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3[/tex]
[tex]Total = 30[/tex]
Next, select the value in the cell that intersects Male and Junior
[tex]Male\ and\ Junior = 2[/tex]
Hence, the probability is
[tex]Pr = \frac{Male\ and\ Junior}{Total}[/tex]
[tex]Pr = \frac{2}{30}[/tex]
[tex]Pr = 0.067[/tex]
Express as percentage
[tex]Pr = 0.067*100\%[/tex]
[tex]Pr = 6.7\%[/tex]
Approximate
[tex]Pr = 7\%[/tex]
Answer:
14%
Step-by-step explanation:
2(junior males) out of 14 (the total of males) is 14.29%, which is rounded to a whole percent of 14%. Hope this helps!
p.s. (I was on the same problem on acellus and figured it out. It took forever though)
Two equilateral triangle’s are showing. Find the scale factor used on the first triangle to make the second triangle
Answers
9514 1404 393
Answer:
2/3
Step-by-step explanation:
The scale factor is the ratio of corresponding dimensions:
(6 cm)/(9 cm) = 2/3
What is the area of the circle with the radius of 5? Round to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
area of circle=π(5)²=25 π≈25×3.14≈78.5
Answer:
A≈78.54
Step-by-step explanation:
A=πr2=π·52≈78.53982
Also i left this out but the radius of the circle is 5.
Chill im only a 7th grade nerd studying in Real Estate and Finances
Also hopes this helps ;0
This is an isosceles trapezoid.
R.
S
75
N
Х
Y У
T
U
z =
[?]
Enter the number that belongs in
the green box.
Enter
Answers
Answer:
75
Step-by-step explanation:
it would be the same as it opposite side S because they are the same
Please help. We are stuck on this one question. Thank you
Answers
Answer:
D
Step-by-step explanation:
All the x and y values have a proportion of 5:1
Answer:
D
Step-by-step explanation:
Proportional relationship means there is a common difference between X and Y. That is only present in D, where x/5 = y.
X Y
5/5 = 1
10/5 = 2
15/5 = 3
20/5 = 4
25/5 = 5
simplify:(-5/8x3/7x4/-15)+(4/7x-21/8)
Answers
Answer:
4x/7 - 143/56
Step-by-step explanation:
Select the name of the highlighted part.
OA side
OB. diagonal
OC.
Vertex
Answers
Answer:
oc
Step-by-step explanation:
because it's oc so the side is wrong and the vertex too
what are the answers?
Answers
Answer
1. B 2. D
Step-by-step explanation:
1. 5/18 x 6= 1.6 and 2. its the last two numbers were larger.
divide the polynomial (x^2 + 3x + 5) by 2x + 1
Answers
Answer:
50888888888888888888+++++
Evaluate \frac{1}{4} \times 2 \frac{4}{5}
4
1
×2
5
4
.
Write the answer as a reduced fraction.
Use slash \left(/\right)(/) to separate numerator and denominator.
Answer:
Answers
Answer:
bro gave me a virus
Step-by-step explanation:
dont click the link
if Mike Burns 220 calories in 20 minutes and 275 calories is in 25 minutes 385 calories in 35 minutes how much calories did he burn in 29 minutes
Answers
Answer:
319 calories
Step-by-step explanation:
Steps to answering this question :
Determine the amount of calories burnt per minute Multiply the answer gotten in the above step by 29 minutes to determine the total calories burnt in 29 minutesCalories burnt per minute = total calories / minutes
220 / 20 = 11 calories
275 / 25 = 11 calories
385 / 35 = 11 calories
11 calories is burnt per minute
Total calories burnt in 29 minutes = calories burnt per minute x 29 minutes
11 x 29 = 319 calories
319
if the nth term of a number sequence is n squared-3 if the first 3 terms and the 10th term
Answers
Answer:
First three terms: -2, 1, 6
Tenth term: 97
Step-by-step explanation:
Given
[tex]T_n =n^2 -3[/tex]
Required
The first three terms and the tenth
So, we have:
First term: n =1
[tex]T_1 = 1^2 - 3 = 1 - 3 = -2[/tex]
Second term: n = 2
[tex]T_2 = 2^2 - 3 = 4 - 3 = 1[/tex]
Third term: n = 3
[tex]T_3 = 3^2 - 3 = 9 - 3 = 6[/tex]
Tenth term: n = 10
[tex]T_{10} = 10^2 - 3 = 100 - 3 = 97[/tex]
QRST is an isosceles trapezoid and m
Answers
Answer:
B. [tex] \huge \red {\boxed { 64\degree}} [/tex]
Step-by-step explanation:
QRST is an isosceles trapezoid (Given)Measures of base angles of an isosceles trapezoid are equal. RS || QT and, ST and RQ are transversals.[tex] \therefore m\angle S = m\angle R[/tex]
[tex] \because m\angle R= 116\degree [/tex]
[tex] \therefore m\angle S= 116\degree [/tex]
[tex] m\angle S + m\angle T = 180\degree [/tex]
(angles on the same side of transversal)
[tex] 116\degree + m\angle T = 180\degree [/tex]
[tex] m\angle T = 180\degree - 116\degree [/tex]
[tex] \huge \purple {\boxed {m\angle T = 64\degree}} [/tex]
What is the area of triangle HGF? Round your answer to the nearest tenth of a square centimeter. Recall that you need to round up if the value of the hundredth is 5 or greater?
Answers
Answer:
[tex] 9.75 \: {cm}^{2} [/tex]
Step-by-step explanation:
[tex]A(\triangle HGF) = \frac{1}{2} \times 6.5 \times 3.0 \\ \\ = 6.5 \times 1.5 \\ \\ = 9.75 \: {cm}^{2} [/tex]
Escribe en forma de potencia y encuentra el valor
a) 2⁴ . 2² =
b) (-5)⁸/(-5)³=
c) ((-9)² )3³
Answers
Answer:
a) =2^(4+2)
=2^6
=64
b) =(-5)^(8-3)
=(-5)^5
= - 3125
c) =(81)(27)
=2187
using the figure below complete the proof. Which of the following sequence of reasons may be used to fill the blanks in the two-columns proof above?
Answers
Answer: Definition of parallelogram, ASA Theorem, CPCTC
Step-by-step explanation:
I just did the math nation and I go that question correct
Answer: Definition of parallelogram, ASA Theorem, CPCTC
Step-by-step explanation:
i got it right
Which is equivalent to the series shown?
12
Which expansion is equivalent to the summation
shown?
12
12
20 Σ
1
n=9 n=9
n +
n=9
X
1 1 1 1
20+9+10+11+12+
9 10 11 12
-
Σ (20n +
+
Ź 201n+ )
20
n
n-9
x
1
1
-
1
11
1
12
20(9 + 10 +11+12) +.
9 10
2019 +10 +1
X
1 1 1
20 9+10 +11+12+
9 10 11 12
n +
n-9
12 12
1
12 + 20
n
n=9 n-9
12 12
1
n+
n-9 n=9n
1 1 1
9+10+11+12+ 20
9 10 11 12
20Σ
COMPLETE
Na
Intro
Final
Answers
Answer:
please I don't know
Step-by-step explanation:
please I don't know
please give me another question
Answer: 1st part is D, and 2nd part is B
Step-by-step explanation: Got them on edge
A hang glider dropped his cell phone from a height of 450 feet. How many seconds did it take for the cell phone to reach the ground?
Answers
Answer:
t = 9.58 s
Step-by-step explanation:
Given that,
The height from where the cell phone is dropped, h = 450 feet
We need to find the time for the cell phone to reach the ground. Let the time be t. Using second equation of kinematics to find it.
[tex]h=ut+\dfrac{1}{2}at^2[/tex]
u is initial velocity, u = 0
a = g
So,
[tex]h=\dfrac{1}{2}at^2\\\\t=\sqrt{\dfrac{2h}{g}} \\\\t=\sqrt{\dfrac{2\times 450}{9.8}} \\\\t=9.58\ s[/tex]
So, it will take 9.58 seconds to reach the ground.
Solve the equation for the value of x,
-4x=36
Please show your work, thank you.
Answers
Answer:
x = -9
Step-by-step explanation:
First,Add 4 to both sides
-4x-4+4=36-4+4
Then,simplify
-4x=36
divide both sides by -4
-4x/-4 = 36/-4
Lastly simplify it to get your answer!
Find x if x + y = 16, x * 3 is even, x is a factor of y, and 2x+y= 20.
Answers
Answer:
x = 0
Step-by-step explanation:
Can someone help me please with three questions? 31, 35 and 37?
Answers
Answer: Simplified
31. 13a2 + 10a
35. 9a2 - 21a + 12
37. 2x2 - 8x
Step-by-step explanation:
Given the function f(x) = 5x2 - 3x + 2, what is f(2)?
Answers
Answer:
f(2) means you substitute 2 with x in the function f(x) = 5x^2 - 3x + 2
Step-by-step explanation:
f(2) = 5(2)^2 - 3(2) + 2
f(2) = 5(4) - 6 + 2
f(2) = 16
PLEASE HELP URGENT ILL GIBE BRANLIEST
Answers
Answer:
A 1.85
Step-by-step explanation:
cos 72 = 6/x
x cos 72 = 6
x = cos 72/6 = 1.84
Answer:
A
Step-by-step explanation:
1.84
In a sample of 800 people, 420 are in favor of a proposed scoring system. A golf course wants to implement an electronic scoring system where shots are counted by satellites to reduce human error and to show real-time scores at the clubhouse. Is there enough evidence to conclude that the majority of the golfing community is a proponent of the new system at an alpha level of .05. Determine the number of tails for this problem, the critical value and the test statistic.
Answers
Answer:
We accept H₀ with 95 % of Confidence Interval we have enough evidence to conclude that the majority of members agree with the new system
Step-by-step explanation:
Sample size 800
Sample x₁ = 420 ( number of people in favor of a proposed scoring system), then
p₁ = 420/800 p₁ = 0,525 p₁ = 52,5 % then
q₁ = 1 - p₁ q₁ = 1 - 0,525 q₁ = 0,475
Sample size enought to use the approximation of the binomial didtribution to normal distribution
If significance level is 0,05 α = 0,05
and from z-table we look for z(c) ( z critical value)
z (c) = 1,64
Hypothesis Test:
Null Hypothesis H₀ p₁ = 0,5
Alternative Hypothesis Hₐ p₁ > 0,5
Alternative hypothesis tells us about a one tail-test to the right
To calculate
z(s) = ( p₁ - 0,5) / √ (p₁*q₁) / n
z(s) = 0,025 / √ 0,525*0,475/800
z(s) = 0,025 / √0,000311
z(s) = 0,025/0,01765
z(s) = 1,416
Comparing z(c) and z(s)
z(s) < z(c) 1,416 < 1,64
z(s) is in the acceptance region we accep H₀.
A rectangular swimming pool has a width of 42 ft and a diagonal of 70 ft. Find the length of the pool.
Answers
Answer:
56 feet.
Step-by-step explanation:
The formula for finding the length of a rectangle, given the diagonal and the width is [tex]\sqrt{d^2 -{w^{2}[/tex]. So, [tex]\sqrt{4900 - 1764[/tex]. If you put this thing in the calculator you get 56.
A cube with a surface area of 54 square centimeters is shown.
Twelve cubes like the one shown are combined to create a larger cube. What is the volume, in cubic centimeters of the new cube?
Answers
Answer:
54 cm
Step-by-step explanation:
they are the same i think
If a gold ring has a sale price of $21, what was the original price?
There was a sale that was 30% off.
Answers
Answer:
27.30
Step-by-step explanation:
The following data set shows the number of project points each student in a class earned last week.
68, 84, 86, 74, 58, 82, 82, 96, 78, 96, 70, 78, 98, 80, 94, 96, 64, 82, 74, 78, 96. W
Which dot plot correctly displays this data?
Answers
Answer:
D
Step-by-step explanation:
I think its correct
Answer:
C.
Step-by-step explanation: