This ODE is separable as
1/(6x) dy/dx = y √(3x ² - 1)
→ dy / y = 6x √(3x ² - 1) dx
Integrate both sides:
∫ dy / y = ∫ 6x √(3x ² - 1) dx
The left side is trivial. For the right side, substitute u = 3x ² - 1 and du = 6x dx :
∫ dy / y = ∫ √u du
ln|y | = u ³′² + C
(that is, u is raised to the 3/2 power)
ln|y | = (3x ² - 1)³′² + C
Solve for y by taking the exponential of both sides:
exp(ln|y |) = exp((3x ² - 1)³′² + C )
y = exp((3x ² - 1)³′²) × exp(C )
y = C exp((3x ² - 1)³′²)
which can be written as
y = C exp(√((3x ² - 1)³))
which makes the answer none of these; this solution can't be expressed as either option given in A or B.
the spinner above is used in a game. what is the theoretical probability of the given event with one spin? p(5)
a. 7/8
b. 1/8
c. 5/8
d. 0
The theoretical probability of the given event with one spin p(5) is,
⇒ p (5) = 1 / 8
What is mean by Probability?The word probability refers to the likelihood of an event occurring. Probability means possibility. And, It is branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
We have to given that;
The spinner is used in a game.
Since, There are total 8 outcomes in spin.
Hence. The theoretical probability of the given event with one spin p(5) is,
⇒ p (5) = 1 / 8
Thus, The value of theoretical probability of the event with one spin p(5) is,
⇒ p (5) = 1 / 8
Learn more about the probability visit:
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think smart performance task movie time part a
Awnser.Ignore what i put its wrong Pls awnser i’ll give brainpower
Answer:
m=-3/2
Step-by-step explanation:
Help please I don’t understand and we did not learn this!!!
Answer: I’m not for sure but I think it is the third one
Step-by-step explanation:
Help PLeasE HuRrY
Which shows 2 divided by 3 written as a fraction?
A. 2/3
B. 3 1/3
C. 3/2
D. 2 1/3
Answer:
A) 2/3
Step-by-step explanation:
Just write it how the questions says it 2/3. I hope this helps :)
Answer:
A. 2/3 uh welcome :-) :-) :-) :-) :-) :-) :-) :-) :-)
A lot of components contains that are defective. Two components are drawn at random and tested. Let be the event that the first component drawn is defective, and let be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places. (a) Find . (b) Find . (c) Find . (d) Are and independent
Complete question is;
A lot of 10 components contains 4 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places.
(a) Find P(A)
(b) Find P (B|A)
(c) Find P(A and B)
(d) Are A and B independent?
Answer:
A) P(A) = 0.4
B) P(B|A) = 1/3
C) P(A and B) = 2/15
D) They are not independent
Step-by-step explanation:
We are told that A is the event that the first component drawn is defective, and B is the event that the second component drawn is defective.
A) Since 4 out of the 10 components are defective, then;
P(A) = 4/10 = 0.4
B) After taking 1 out of the 10, there will be 9 left and 3 defective ones left.
Thus; P(B|A) = 3/9 = 1/3
C) P(A and B) = P(A) × P(B|A)
Thus;
P(A and B) = 4/10 × 1/3
P(A and B) = 4/30 = 2/15
D) They are not independent because B can't be done until A is done whereby the first component is drawn.
Find the measure of the supplement of a
33° angle.

Answer:
I can't see them but whichever one is 157 is the correct angle
Step-by-step explanation:
Supplementary angles are angles that equal 180 degrees.
180 - 33 = 157
So whichever angle equals 157 degrees, that is the correct one
subtract the degree given from 180
What is the median in the box plot?
50
60
70
80
90
100
Answer:75
Step-by-step explanation:
50,60,(70,80),90,100
70+80=150
150÷2=75
Therefore, 75is the median
Can someone help me with this problem number 4
Answer:
m = -11/7
Step-by-step explanation:
change equation into slope-intercept form:
7y = -11x + 2
y = -[tex]\frac{11}{7}[/tex]x + 2/7
slope is the coefficient of the 'x' term
help me plz .
Will mark brainliest ❣️
Answer:
A) or the first one is the correct answer
Step-by-step explanation:
To check just substitute the intersection point into the equation, as the intersection point is (3,2), -3 * 3 + 11 = 2 and 5/3 * 3 - 3 =2, so both equation satisfied.
what expressions are equivalent to 10 - 12
Answer:
B
Step-by-step explanation:
(*￣3￣)╭ When subtracting they both equal the same of -2
what would the class size be if 30 people represent 40% of the class?
Answer:
110 students
Step-by-step explanation:
%40 Divide 30
30 divided by %40 is 0.75
SO there is 60% left
%60 divided by 0.75
That is 80
80 + 30 =
110
Evaluate the expression if y=4.4 and z= 12
z2+ 8y
Answer: 59.2
Step-by-step explanation:
Take your equation
z2+8y
Now plug in the values given
(12)2+8(4.4)
24+35.2
59.2
I need help will mark you the brainliest
Answer:
i thinnk A
Step-by-step explanation:
write an equation in slope intercept form (4,-2) (0,-5)
Answer:
y=-7/4x+5
Step-by-step explanation:
The line contains points at (4,-2) and (0,-5)
(y1-y2) / (x1-x2) = slope
(4,-2) =(x1,y1)
(0,-5) = (x2,y2)
(-2-5) / (4-0)
-7 / 4 = -7/4
y= -7/4x + b
plug in points for x and y to find b
-2=-7/4(4)+b
-2=-7+b
5=b
y=-7/4x+5
Which rectangle represents dilation by a scale factor of 2 from the rectangle's center?
Answer:
it’s D
Step-by-step explanation:
I took the test
PLEASE HELP ME FAST!!!!!!
WILL MARK BRAINLIEST!!!!!!!
Phillip is ordering an ice cream sundae that consist of ice cream and
toppings. He can get either chocolate or vanilla as his ice cream. For his
toppings, he can get either sprinkles, almonds, or hot fudge. How many
different ways can Phillip order ice cream?
EDITED: Answer: Phillip can order 12 different ways of ice cream.
Step-by-step explanation:
Ahem.
He can only have Vanilla or Chocolate. So let's pet them in a separate Row.
Vanilla
With SprinklesWith AlmondsWith Hot FudgeWith Sprinkles and AlmondsWith Sprinkles and Hot FudgeWith Almonds and Hot FudgeChocolate
1.With Sprinkles
2.With Almonds
3.With Hot Fudge
4.With Sprinkles and Almonds
5.With Sprinkles and Hot Fudge
6.With Almonds and Hot Fudge
Pele scored 767 goals in 831 games. How many goals did Pele score per game?
Answer:
.923 goals per game
Step-by-step explanation:
All you have to do is divide the number of goals by the number of games.
767/831 = .923
help me please!! thank you very much!!
3x + 8 < 4(x - 3)Solve the inequality and graph the solution set.
Step-by-step explanation:
3x+8<4x−12
Move all terms containing x
to the left side of the inequality.
Tap for more steps...
−x+8<−12
Move all terms not containing x
−x<−20
x>20
Interval Notation:(20,∞)
Plssss help with answer !!!!!....
Answer:
Step-by-step explanation:
From the graph, the initial distance of the cyclist decreases with time before it starts to increase at the same rate.
i. When t = 60 minutes,
distance = (60 -60)
= 0
ii. When t = 120 minutes,
distance = (120 -60)
= 20 km
This implies that the endpoint of the cyclist's race was 20 km from the water station which took 60 minutes. So that on meeting the endpoint, the cyclist cycled back towards the water station at the same rate.
Help me I don't get it ..........................................
Answer:
5/7
Step-by-step explanation:
Answer:
130/231
Step-by-step explanation:
you just plug in the values of x, y, and z so:
[tex]\frac{-\frac{2}{3}*\frac{5}{7} }{-\frac{11}{13} }[/tex]
start by simplifying the top:
[tex]\frac{-\frac{10}{21}}{-\frac{11}{13} }[/tex]
divide:
[tex]-\frac{10}{21}[/tex]÷[tex]-\frac{11}{13}[/tex]
= [tex]-\frac{10}{21} * -\frac{13}{11}[/tex]
= [tex]\frac{130}{231}[/tex]
Simplify by combining like terms 2 + 3d + 10d
Answer:
2+13d
Step-by-step explanation:
Solve the equation
6i+8=2(3i-2)+8
Answer:
6i+8=2(3i-2)+8
Step-by-step explanation:
136 minutes - hours and minutes
Answer:
That would equal.... 2 hours and 16 minutes
Have a great day!
Which of the following numbers is divisible by 3 and 9?
the average of 12 numbers is 153 what is the sum of the 12 numbers
Answer:
Sum is 1836.
Step-by-step explanation:
As we know,
average= sum/total numbers
153=sum/12
153*12=sum
sum=1836
A golf instructor is interested in determining if her new technique for improving players’ golf scores is effective. She takes four (4) new students. She records their 18-hole scores before learning the technique and then after having taken her class. She conducts a hypothesis test. Player 1 Player 2 Player 3 Player 4 Mean score before class 83 78 93 87 Mean score after class 80 80 86 86 This is which of the following and Why? 1. a test of two independent means. 2. a test of two proportions. 3. a test of a single mean. 4. a test of a single proportion.
Answer:
A test of two independent means.
Step-by-step explanation:
The test above is comparing the two independent mean scores (mean before taking her class ; μ1 and mean score after taking her class, μ2. This two mean values are tested to ascertain if there exist any statistical difference between them. This differs from the proportion which is ecekuared by the ratio of success or failure. The single mean and single proportion test only has one group which its mean or proportion is tested.
The null and alternative hypothesis for two independent sample means may be expressed thus :
H0 : μ1 = μ2
Alternative hypothesis
H1 : μ1 ≠ μ2
Marcelo scored 7 points for his basketball team. This was 20% of his team’s points. How many points did his team score?
Answer:
35
Step-by-step explanation:
20% = 7
Therefore, 100% = Total Points By Whole Team
20% x 5 = 100%
7 x 5 = 35 Points
3 units
8 units
9 units
3 units
21 units
The area of the figure is
square units.
What’s the answer
Answer:
132 Sq. Units
Step-by-step explanation: