If y=a sin 3x+ b cos 3x and [tex]\frac{d^{2} y }{dx^{2} }[/tex] = ky, then what is the value of k?
Someone pls asnwer, correct answer will be marked as the brainiest. No spam!!
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.
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The perimeter of a triangular shaped garden is 24 feet. The third side is one more than four times the first side. The second side is three more than the first side
What is the length of the longest side of the garden?
Answer:
14 1/3 feet
Step-by-step explanation:
let 's' = shortest side
let '4s + 1' = longest side
let '3 + s' = middle side
s + 4s + 1 + 3 + s = 24
6s + 4 = 24
6s = 20
s = 20/6 or 3 1/3
longest side: 4 · 10 + 1
3
= 40/3 + 1
= 13/ 1/3 + 1
= 14 1/3
The given equation has no solution when C is equal to what number?
2x+C(8+x)=16
Answer:
[tex]-2[/tex]
Step-by-step explanation:
When [tex]C=-2[/tex], the variable [tex]x[/tex] will be removed from the equation ([tex]2x-2x=0[/tex]). Therefore, we are left with [tex]-16\neq 16[/tex]. Thus, when [tex]C=-2[/tex], the given equation has no solutions.
I’ll give brainlest if you get it right if wrong no brainlest
Answer:
2. Isosceles triangle
3. Isosceles triangle
4. Isosceles triangle
5. Equilateral triangle
6. Scalene triangle or Isosceles triangle
Step-by-step explanation:
Answer:
2) Isosceles triangle
3) Scalene Triangle
4) Scalene Triangle
5) Equilateral Triangle
6) Isosceles triangle
Step-by-step explanation:
the image should help you
Grandma gives 180 marbles to her ten grandchildren. No two children get the same amount of marbles. Betsy gets the most. What is the least number of marbles that Betsy could get?
Answer:
23 marbles
Step-by-step explanation:
Number of children = 10
Number of marbles = 180
Since Betsy gets the most and no 2 children gets the same number of marbles
The least number of marbles Betsy could get will be x ; with the other 9 children receiving 1 less each
That is :
Betsy = x
9th child = x - 1
8th child = x - 2,... 1st child = x - 9
Hence,
(x + x - 1 + x - 2 + x - 3 + x - 4 + x - 5 + x - 6 + x - 7 + x - 8 + x - 9) = 180
10x - 45 = 180
10x = 180 + 45
x = 225 / 10
x = 22.5
x = 23
Hence, the least Betsy could get is 23 marbles
Which postulate makes the triangle congruent.??
Can someone help??
Answer:
ASA (Angle-Side-Angle) Congruency Postulate
Step-by-step explanation:
In ΔCDE & ΔABF ,
∠ECD = ∠FAB (given)CD = AB (given)∠EDC = ∠FBA (given)∴ ΔCDE ≅ ΔABF by ASA congruency postulate.
Round to the nearest hundredths place.
226.671
Answer:
200.000 because it's lower than 250
Step-by-step explanation:
pls give brainly
Answer:
226.67 is the answer
help please asp.........,............
Answer:
Def. D
Step-by-step explanation: Hope this helps!!!
need help with this thanks
Answer:
15.51
Step-by-step explanation:
Answer:
15.51
Step-by-step explanation:
The calculator is $49.50.
The radio is $114.99.
First, we add them together.
49.50+114.99 = 164.49
that is the total cost of both the radio and calculator.
Next, we subrtact 180.00-164.49= 15.51.
Item 2
Question 1
Solve 6x≥−42. Graph the solution.
Answer:
x ≥ -7
Step-by-step explanation:
Divide both sides by 6
Then to graph it, you can make a number line
Answer:
Step-by-step explanation:
Solve 6x ≥ − 42for x by dividing both sides by 6. We get:
x ≥ − 7
Now draw a vertical line (solid) through x = -7.
Finally, shade the area including and to the right of x = -7.
Q5.
Make t the subject of the formula
t +1
m =
t-3
can someone help please
Solve the following equation:
5/6h+6/7h-9/14h=4
Will mark as brainliest.
Given:
The equation is
[tex]\dfrac{5}{6}h+\dfrac{6}{7}h-\dfrac{9}{14}h=4[/tex]
To find:
The solution of the given equation.
Solution:
We have,
[tex]\dfrac{5}{6}h+\dfrac{6}{7}h-\dfrac{9}{14}h=4[/tex]
It can be written as
[tex]\left(\dfrac{5}{6}+\dfrac{6}{7}-\dfrac{9}{14}\right)h=4[/tex]
[tex]\left(\dfrac{35+36-27}{42}\right)h=4[/tex]
[tex]\left(\dfrac{44}{42}\right)h=4[/tex]
[tex]\dfrac{22}{21}h=4[/tex]
Multiply both sides by 21.
[tex]22h=84[/tex]
Divide both sides by 22.
[tex]h=\dfrac{84}{22}[/tex]
[tex]h=\dfrac{42}{11}[/tex]
Therefore, the solution of the given equation is [tex]h=\dfrac{42}{11}[/tex].
Anybody knows all of them?
Answer:
A, B, C, F, G
Step-by-step explanation:
The above-listed properties are inherited from a parallelogram. The properties not inherited from a parallelogram are ...
D (diagonals are angle bisectors) is inherited from a rhombus
E (congruent diagonals) is inherited from a rectangle
H (perpendicular diagonals) is inherited from a rhombus
round 432.94 to 3 SF
Answer:
433
Step-by-step explanation:
i hope i helped<3
The measure of an interior angle of a regular polygon is 174. Find the number of sides in the polygon.
Answer:
60 sides
Step-by-step explanation:
The formula for the sum of the interior angles of a polygon with n sides is 180(n -2). The problem also tells you that each angle is 174, so the sum of the interior angles would also be 174n.
Then, you get the equation
180(n - 2) = 174n
180n - 360 = 174n
6n = 360
n = 60 sides.
35-36. PLEASE HELP! I've bee stick on this problems and I've reposted it sooo many times but no one answered. If you answer both and leave an explanation I will mark you brainliest!
Answer:
1. Look at the screenshot below.
2. If a line intersects a parabola at a point, the coordinates of the intersection point must satisfy the equation of the line and the equation of the parabola.
Since the equation of the line is y = c, where c is a constant, the y-coordinate of the intersection point must be c.
It follows then that substituting c for y in the equation for the parabola will result in another true equation: c = −x^2 + 5x.
Subtracting c from both sides of c = −x^2 + 5x and then dividing both sides by −1 yields 0 = x^2 − 5x + c.
The solution to this quadratic equation would give the x-coordinate(s) of the point(s) of intersection.
Since it’s given that the line and parabola intersect at exactly one point, the equation 0 = x^2 − 5x + c has exactly one solution.
A quadratic equation in the form 0 = ax^2 + bx + c has exactly one solution when its discriminant b 2 − 4ac is equal to 0. In the equation 0 = x^2 − 5x + c, a = 1, b = −5, and c = c.
Therefore, (−5)^2 − 4(1)(c ) = 0, or 25 − 4c = 0.
Subtracting 25 from both sides of 25 − 4c = 0 and then dividing both sides by −4 yields c = 25/4 .
Therefore, if the line y = c intersects the parabola defined by y = −x^2 + 5x at exactly one point, then c = 25/4 .
Either 25/4 or 6.25
There are 7 grams of fat in 2 cookies.
How many cookies would have 28 grams of fat?
Answer:
8
Step-by-step explanation:
7 = 2
× 4
28 = 8
hope this helps...
Simplify the following.
–(32)2
Answer:
-64
Step-by-step explanation:
If i'm not mistaken and this is times then it is just
-32 times 2
which is -64.
-
Have a wonderful day and best of luck!
how can adding integer numbers help me in my future in real life?
I need answers to all please!! I really appreciate it.
Answer:
19. 4(x-4)
20. 6(3k+7)
21. prime
22. 4(5m-2n)
23. 14p-14= 14(p-1)
24. 35+5r= 5(7+r)
25. 10x - 14y= 2(5x- 7y)
Step-by-step explanation:
19.4(x-4)
20. 6*3k + 7*6
6(3k+7)
22. 2*5m - 2 * 4n
2(5m - 4n)
23. 9p + 5p -6-8
14p - 14
q=4+0.8p What value of `q` would make the equation true when `p` is 100?
Answer:
84[hope this helps!]
Step-by-step explanation:
Answer:
84
Step-by-step explanation:
.8×100=80
4+80=84
q=84
HELPPPP PLZ WILL GIVE BRAINLIEST TO CORRECT ANSWER AND WORK
Q: Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 6cm and a height of 12cm, at the rate of 3 cm3/min. At what rate is the depth of the water changing at the instant when the water in the tank is 9 cm deep? Give an exact answer showing all work and include units in your answer. Show your work
What is another way to write the ratio 13 to 6
Answer:
Step-by-step explanation:
13:6
Another way to write this is 13/ or 13: or 13 to 6.
Step-by-step explanation: Here is my work:
It pretty sloppy but as long as it helps you!
find the area of this parallelogram. be sure to include the correct unit in your answer
Answer:
84ft
Step-by-step explanation:
The formula to find the area of a parallelogram is b x h.
The base is 14ft and the height is 6ft. Multiply these together.
14 x 6 = 84ft
0.03y=-0.01x+0.12
HALP
GRAPH PLEASE
I need a bit of help!
Answer:
The correct answer is where red goes to orange.Blue goes to green and yellow goes to green
Answer:
The correct answer is where red goes to orange.Blue goes to green and yellow goes to green:
f(x) = 2x2 - 1 What is f(x) when x=2 ?
Answer:
7
Step-by-step explanation:
To evaluate, substitute x = 2 into f(x), that is
f(2)= 2(2)² - 1 = 2(4) - 1 = 8 - 1 = 7
Which of the following statements is not a translation of the equation 4+x=9?
Nine is a number added to four.
A number added to four is nine.
four plus a number is nine.
The sum of four and a number is nine.
PLEASE HELP A GIRLY OUT
Answer:
nine is a number added to four
Answer:
nine is a number added to four
What is the name of the relationship between angle 5 and angle 7?
PleSe help
Answer:
Vertical
Step-by-step explanation:
There are opposite of each other, making them the same angle
Determine the intercepts of the line.
y- 6 = 4(x + 5)
y-intercept:
x-intercept:
Answer:
x intercept: -13/2
y intercept: 26
Step-by-step explanation:
x intercept of the line is the point where y = 0
Substitute y = 0 into the expression;
0 - 6 = 4(X+5)
-6 = 4x + 20
4x = -6-20
4x = -26
x = -26/4
x = -13/2
y intercept is the point where x = 0
y - 6 = 4(0+5)
y-6 = 20
y = 20+6
y = 26