Step-by-step explanation:
You have to do first and second derivatives :
y = a sin 3x + b cos 3x
dy/dx = 3a cos 3x - 3b sin 3x
d²y/dx² = - 9a sin 3x - 9b cos 3x
Next, you have to compare it :
let d²y/dx² = ky,
-9a sin 3x - 9b cos 3x = k(a sin 3x + b cos 3x)
-9(a sin 3x + b cos 3x) = k(a sin 3x + b cos 3x)
Therefore, k is equals to 9.
Please help with these questions there due today.
three hundred x 3 hundred 300x300
Answer:
81,00000000
Step-by-step explanation:
Hope this Helps! :)
Help! Thx so much its pretty easy! u guys r da best!
Answer:
36
Step-by-step explanation:
Conjugate of z = -3-5i
Therefore the expression is equivalent to (-3+5i)(-3-5i).
(-3+5i)(-3-5i)
=(-3)^2-(5i)^2
=9-(-25)
=36
Answer:
z (the conjugate of z) = 34
(4x−3)(3x+6) how can i find the terms
Step-by-step explanation:
(4x-3)(3x+6)
4x(3x+6)-3(3x+6)
12x+24-9x-18
12x-9x+24-18
3x+6
x=6/3
x=2
20 points for someone who can say answers for 1-9.. or send their work from this sheet.. please, help :(
Answer: 1) y=1/3x-1
2) y=-2/5x+0
3) y=1x+8
4) y=-3/6x+3
5) y=5/2x+1
6) y=-8/2x-5
7) y=1x+2
8) y=-2/3x-4
9) y=6/5x
Step-by-step explanation: For the graph: if the line is pointing to the right Mx from the equation Y=Mx+B it’s going to be POSITIVE for example: Y=7x+4 If it’s pointing to the left it’s NEGATIVE for example: Y=-6x+2. If want to know the Y-INTERCEPT = B you have to find the point that is connected to the (0,0) on the graph
Which of the following is equivalent to 3(y−1+2y)?
ILL GIVE BRAINIEST PLZ HELP the volume of a golf ball is approximately 4.in3 what is the diameter round you answer to the nearest whole number
Answer:
13.50200 or 13
Step-by-step explanation:
you use c = 3.14 (which is pie) x d to get the full sphere, hopefully this is correct
Lucy borrowed $425 from Colleen. Colleen charges Lucy 5.3% interest if Lucy pays Colleen back in 3 years how much does she pay Colleen back altogether
Answer: Lucy pays $ 492.58 back altogether.
Step-by-step explanation:
Formula : Interest = Principal x Rate x Time
Given: Principal = $425 , rate = 5.3% = 0.053 , time = 3 years
Interest = 425 x 0.053 x 3 ≈ $ 67.58
Total amount need to pay back = Principal + Interest
= $ (425+67.58)
= $ 492.58
Hence, Lucy pays $ 492.58 back altogether.
A ship captain is mapping a trip and wants to know the distance the ship will travel over certain time intervals.
Assuming that the ship travels at a constant speed, what is its speed? Show your thinking.
The photography club has 28 members. There are 12 boys in the club.
What is the ratio of boys to girls in simplest form?
3/4
3/7
7/3
4/3
brainlest
My guys pls come help me I will give brainliest
Answer:
6ft
Step-by-step explanation:
Answer:
sorry dude
Step-by-step explanation:
What is the solution of the system of equations shown in the graph below?
Answer:
Answer is (-1,-2) As where 2 lines bisect, that point be the answer. And in given scenario, both the lines bisected at (-1,-2)
Step-by-step explanation:
5x - Зу = -7
— 2x – 3y = 19
WHICH method would be best to solve these ? Elimination, Graphing, Substitution, or none of these
Answer:
I think elimination method will the the beat and easiest method we can use in that question,
what are the coordinates of this point?
giving brainliest answer to first person to answer
Answer:
Q) (-2, 2)
V) (2, 2)
Step-by-step explanation:
At a school cafeteria a cold lunch costs $1.80, and a hot lunch costs $3.00. During one school year a school year a teacher spent a total of $288.60 on cold lunches and hot lunches. The number of cold lunches the teacher bought was 1 fewer than twice the number of hot lunches the teacher bought. Which system of equations can be used to find c, the number of cold lunches, and h, the number of hot lunches, the teacher taught during the school year?
Answer:
System of Equations is given as:
c = 2h - 1...... Equation 1
1.8c + 3h = 288.60....Equation 2
Step-by-step explanation:
Let us represent
The number of Cold lunch = c
The number of Hot lunch = h
The number of cold lunches the teacher bought was 1 fewer than twice the number of hot lunches the teacher bought.
Hence:
c = 2h - 1
At a school cafeteria a cold lunch costs $1.80, and a hot lunch costs $3.00. During one school year a school year a teacher spent a total of $288.60 on cold lunches and hot lunches.
Hence:
$1.80 × c + $3.00 × h = $288.60
1.8c + 3h = 288.60....Equation 2
The system of equations can be used to find c, the number of cold lunches, and h, the number of hot lunches, the teacher taught during the school year is given as:
c = 2h - 1...... Equation 1
1.8c + 3h = 288.60....Equation 2
The system of equations that can be used to calculate the number of hot and cold lunches is [tex]\mathbf{1.80c +3.00h = 288.60}[/tex] and [tex]\mathbf{c = 2h - 1}[/tex]
Let h represents hot lunch, and c represents cold lunch.
So, we have:
[tex]\mathbf{1.80c +3.00h = 288.60}[/tex]
[tex]\mathbf{c = 2h - 1}[/tex]
Substitute [tex]\mathbf{c = 2h - 1}[/tex] in [tex]\mathbf{1.80c +3.00h = 288.60}[/tex]
[tex]\mathbf{1.80(2h -1) +3.00h = 288.60}[/tex]
Expand
[tex]\mathbf{3.60h -1.80 +3.00h = 288.60}[/tex]
Collect like terms
[tex]\mathbf{3.60h +3.00h = 288.60 + 1.80}[/tex]
[tex]\mathbf{6.60h = 290.4}[/tex]
Divide both sides by 6.60
[tex]\mathbf{h = 44}[/tex]
Substitute 44 for h in [tex]\mathbf{c = 2h - 1}[/tex]
[tex]\mathbf{c = 2(44) - 1}[/tex]
[tex]\mathbf{c = 83}[/tex]
Hence, the system of equations that can be used to calculate the number of hot and cold lunches is [tex]\mathbf{1.80c +3.00h = 288.60}[/tex] and [tex]\mathbf{c = 2h - 1}[/tex]
Read more about simultaneous equations at:
https://brainly.com/question/16763389
Mackenzie practices the piano 609 minutes in 3 weeks. At what rate did she practice, in minutes per day?
Answer:
the answer is 29
Step-by-step explanation:
good luck! <33
Answer:
The answer is 203
Step-by-step explanation:
I started off by dividing 609 by 3 and your answer is on the top. You're welcome!!
The money used in Tajikistan is called the
Somoni. The exchange rate is $7 = 22
Somoni. Find how many
dollars
you
would receive if you exchanged 66
Somoni.
O $16
O $18
O $207,43
$21
Joel ordered a set of beads. He received 40 40 beads, and 60 % 60% of them were blue and 40 % 40% of them are green. How many blue beads did Joel receive?
Answer:
24 blue beads
Step-by-step explanation:
The number of blue beads is calculated as:
Percentage of blue beads × Total number of beads
Total number of beads = 40 beads
Hence:
= 60% × Total number of beads
= 60% × 40
= 60/100 × 40
= 24 blue beads
Joel received 24 blue beads.
Damien is competing in both swimming and running at a competition. After analyzing himself and his competitors, he knows that he has a 65% chance of winning at swimming and an 85% chance of winning at running. What is the probability that he will win the running event, but lose the swimming event?
Answer:
[tex]Probability = 0.2975[/tex]
Step-by-step explanation:
Giving:
Swimming
[tex]P(Win[Swim])= 65\%[/tex]
Running
[tex]P(Win[Run])= 85\%[/tex]
Required
Determine the probability of winning at running and losing at swimming
First, we calculate the probability of losing at swimming using
[tex]P(Win) + P(Lose) = 1[/tex]
Substitute 65% for P(Win)
[tex]65\% + P(Lose[Swim]) = 1[/tex]
Collect Like Terms
[tex]P(Lose[Swim]) = 1 - 65\%[/tex]
[tex]P(Lose[Swim]) = 35\%[/tex]
The required probability is then calculated using:
[tex]Probability = P(Win[Run]) * P(Lose[Swim])[/tex]
[tex]Probability = 85\% * 35\%[/tex]
Convert to decimal
[tex]Probability = 0.85 * 0.35[/tex]
[tex]Probability = 0.2975[/tex]
Help-
my tiny brain can’t figure this out
Answer:
3 1/2 is the closest
Step-by-step explanation:
Theres 3 that are full and 2/5
Answer:
its 3 1/2 or c
Step-by-step explanation:
If a segment has an endpoint at (-2, -5) and a midpoint at (-5, -1), determine the coordinates of the other endpoint.
Answer:
The other end of the line segment is at (-8, 3)
Step-by-step explanation:
Since we know one end point and the midpoint, all we need to do is take the vector from the end point to the midpoint, and add it again to the midpoint to find the other end point:
dx = -5 - (-2) = -3
dy = -1 - (-5) = 4
-5 + dx = -8
-1 + dx = 3
So the other end of the line segment is at (-8, 3)
If a segment has an endpoint at (-2, -5) and a midpoint at (-5, -1), the coordinates of the other endpoint are (-8, 3)
The midpoint of a line segment is given as:
[tex]a=\frac{x_1+x_2}{2} \\\\b=\frac{y_1+y_2}{2}[/tex]
One of the endpoints of the line segment is (-2, -5)
That is, [tex]x_1=-2, y_1=-5[/tex]
Let the coordinates of the other endpoint be [tex](x_2, y_2)[/tex]
Solving for [tex]x_1[/tex] and [tex]y_1[/tex] in the equation:
[tex]a=\frac{x_1+x_2}{2} \\\\b=\frac{y_1+y_2}{2}[/tex]
[tex]-5=\frac{-2+x_2}{2} \\\\-2+x_2=-5(2)\\\\x_2=-10+2\\\\x_2=-8[/tex]
Solve for [tex]y_2[/tex]
[tex]b=\frac{y_1+y_2}{2} \\\\-1=\frac{-5+y_2}{2} \\\\-2=-5+y_2\\\\y_2=-2+5\\\\y_2=3[/tex]
The coordinates of the other endpoint are (-8, 3)
Learn more here: https://brainly.com/question/20696453
In the figure, AC is perpendicular to DB.
Which of the following statements is TRUE?
Answer:
B. Angle 5 and Angle 6 are complementary
Step-by-step explanation:
Definition of complementary- either of two angles who sum is 90°
As, Line AC and Line DB are perpendicular, Angle DO(the middle point)C is equal to 90°.
Angle DOC = 90°
Angle DOC = Angle 6 + Angle 5
Therefore, Angle 6 + Angle 5 are equal to 90°, so they are complementary.
Good luck!
Sal earns $12 per hour. His job offers him a raise, a 5% increase per hour.
After the raise, how much will Sal earn per hour?
Answer:
12.60.
Step-by-step explanation:
12.00 × 5%=.6
,6 + 12.00= 12.60
i’ll give brainliest!
Brad made a graph showing how many students were absent from school every day last week.
2. how many students were absent on day3? explain how you know.
3.on which day were the greatest number of students absent? how many students were absent that day?
ANSWER:
2.) There are 5 students absent on day 3 because the dot is in the line of 5 in day 3.
3.) The 2 day is the greatest number of students absent beacause on that 2 day, 10 students were absent
I obviously know this is the answer
Distribute -5(m-2)
Help
Answer:
(-5*m)-(-5*2)
Step-by-step explanation:
Here, we want to use the distributivity property to evaluate the expression
We have this as;
(-5*m)-(-5*2)
What is 0^-4? What is 0^0? Please help me.
Answer:
A. Infity and B. is 1
Step-by-step explanation:
What is the value of x in the equation Negative two-fifths x minus 2 = 18?
–50
–40
–8
–6
Answer:
50
Step-by-step explanation:
What is....
-5a = -0.2
Answer:
0.04
Step-by-step explanation:
If the manufacturer gains 6 %, the wholesale dealer 8% and the retailer 10 %. Then what
is the production cost of geyser whose retail price is Rs. 15741?
Answer:
The production cost is Rs 12,500
Step-by-step explanation:
Let the production cost be $x
At any point in time
sales price = cost price +( profit percentage* cost price)
Manufacturer gaining 6%
That would be;
x + 6% of x
x + 0.06x
= 1.06x
Wholesaler gaining 8%
= 1.06x + 8% of 1.06x
1.06x + 0.08(1.06x)
= 1.06x + 0.0848x
= 1.1448x
The for the retailer
= 1.1448x + 10% of 1.1448x
= 1.1448x + 0.11448x
= 1.25928x
1.25928x = 15,741
x = 15,741/1.25928
x = 12,500
Write 5.164 x 10^-4 in standard form.*
Answer is 0.0005164x