For what values of k does the function y = cos(kt) satisfy the differential equation 81y'' = â16y? (Enter your answers as a comma-separated list.)K = ______

Answers

Answer 1

Answer:

16/81

Step-by-step explanation:

Given the expression, 81y'' = -16y where y = coskt,

We want to know the value of k that satisfies the expression

y' = -ksinkt

y" = -k²coskt

Substitute y and y" into the expression given;

81y'' = -16y

81(-k²coskt) = -16(kcoskt)

-81k = -16

Divide both sides by -81

-81k/-81 = -16/-81

k = 16/81

Hence the value of k is 16/81


Related Questions

What is the standard form of y=2/5x-6

Answers

Answer: 5y=-2x-30

Move the x to the same side as y

2x+5y= -30

hello lol

HELP! ASAP!

Select all the expressions with a value of less than one.

Answers

Answer: all but the first one because anything to the power of 0 is one and -1 is lower than 1

Answer:

B, C, D, E

Step-by-step explanation:

A band expects to put 16 songs on their next CD. The band writes and records ​62.5% more songs than they expect to put on the CD. During the editing​ process, 50​% of the songs are removed. How many songs will there be on the final​ CD?

Answers

I wish I know man I would’ve helped

#3 An art-supply store sells a pad of watercolor paper after a 78% markup. If the store sells the paper for $46.99, what is the wholesale price? *

Answers

Answer:

$36.65

Step-by-step explanation:

You change 78% to .78 and multiply that by $46.99 and get 36.65.

RSTU is a parallelogram. Solve for x. Please help!

Answers

The answer is B-0

Work:

There is 1/3 of a pizza left to split between 3 of your friends. If you split the pizza equally what fraction of the pizza will each s get

Answers

Answer:

1/9

Step-by-step explanation:

The age of the older of two boys is twice that of the younger; 5 years ago it
was three times that of the younger. Find the age of each. pls include steps will mark brainiest

Answers

Answer: The older boy is now 20, the younger boy is now 10.

Step-by-step explanation: Explanation:

Let the age of the older boy now be y

let the age of the younger boy now be x

y = 2x

y-5 = 3(x-5)

simplifying

y = 3x - 10

substituting for y in equation 1

2x = 3x-10

simplifying

x = 10

substituting into 1

y = 20

They were 64 dogs and cats at the pet store. If 25% were cats, how many cats were at the pet store?

Answers

Answer:

16 are cats

Step-by-step explanation:

64 x 25%

64 x .25

16

Answer:

there are 16

Step-by-step explanation:

beacuse 25% of 64 is 16 like duh

A busload of campers stopped at a dairy stand for ice cream. They ordered 74 cones, some soft serve at 1.50 each and the rest hard pack at 1.25 each. If the total bill was 100, how many of each type of cone were ordered?

Answers

Answer:

40 of the hard pack, 33 of the soft serve

Step-by-step explanation:

x1.25+b1.50=100

100÷2=50

40×1.25=50

33×1.50=49.5

self check

50+49.5=100

(40) 1.25 + (33) 1.50 = 99.5, cant go any higher than that because the price was 100. 50 cents isnt going to buy the 1.25 hard pack or the 1.50 soft shell. so the answer would be 40 of the hard pack and 33 of the soft serve

write each as a fraction ​

Answers

Answer:

18) 7/10 20) 58/100 or 29/50 22) 2/3 24) 8/10 or 4/5 26) 3/10

Step-by-step explanation:

Answer:

18. 7/10 20. 29/50 24. 4/5 26. 3/10

Step-by-step explanation:

Umm im sorry i cant find number 22

Jacob made 12 out of 36 shots he attempted during a basketball game.
What percent of shots did he make?​

Answers

Answer:

33.3333.....%

Step-by-step explanation:

33.3333......% Step by step explanation

A dinner party is being organized with the option of 7 dinner choices to serve at the venue. Since catering is expensive, the host asks everyone attending to rank each dish. The top ranked dish will be served at the venue. What is the probability that your favorite dish is the chosen dish served at the venue?

Answers

Answer: 1/7

Step-by-step explanation:

There are seven dishes in total. Only one dish will be served at the venue and you can only have one top-ranked dish. Thus, there is a one in seven probability of your favorite dish is the one chosen to be served.

Solve for n.
2-1/2n=3n+16

Answers

Answer:

N= -4

Step-by-step explanation:

The segments shown below could form a triangle.

O A. True
O B. False

Answers

the answer would be A
the correct answer would be A- true

#1) An airplane has 165 seats for passengers. Eleven-fifteenths of the seats
are full on a particular flight. How many passengers are on this flight?

Answers

Answer: 121 seats

Step-by-step explanation:

11/15 of the seat taken out of 165 so

11/15× 165= 120.9999≈121 seats

There are 10 balloons in an arrangement and 7 of them are red. What percentage of red balloons are in the arrangement?

Answers

Answer:

70% are red.

Step-by-step explanation:

Divide this: 7 divided by 10 equals 0.7

0.7 is 70% in percent

Please give me brainliest

Which step in the solution contains the first error?

Answers

9514 1404 393

Answer:

  Step 4

Step-by-step explanation:

In Step 1, the first equation is correctly multiplied by 2.

In Step 2, the two equations from step 1 are correctly added.

In Step 3, the value of x is correctly determined by dividing by 11.

In Step 4, the value of x is incorrectly substituted for y in the original first equation.

The first error is in Step 4.

if you drink two 12 ounces soda a day, how much soda do you drink per week?

Answers

Answer:

168

Step-by-step explanation

12+12=24 so 24x7=168

Determine the value of the expression below.
60 - (9÷3)² + 15

Answers

Answer:

60-3^2+15

60-9+15

the answer is 66

Helpp with this math.

Answers

Answer:

it's c lol

Step-by-step explanation:

Answer: I think it D

Step-by-step explanation:

Because you have to -1.3 +5x(2 2/3-1/4)

I think 0.25=1/4

3,145 divided by 5 equal

Answers

Answer:

629

Step-by-step explanation:

bruh

Help please xxxxxx please

Answers

Answer: x = 84°.

Step-by-step explanation: The sum of interior angles of a quadrilateral is equal to 360°. We are given three of the interior angles and asked to find the remaining angle. To do this, we can add the three given angles and subtract the sum from 360°. 53° + 125° + 98° = 276°. 360° - 276° = 84°. Thus, x = 84°.

Sue is upholstering a rectangular ottoman that measures 21 centimeters by 18 centimeters by 15 centimeters. What will be the total square centimeters of fabric that Sue must use to cover all faces of the ottoman?

Answers

Answer:

1926cm²

Step-by-step explanation:

Given

Dimension = 21cm by 18cn by 15cm

The illustration in this question is to determine the surface area of the fabric and this is calculated using the surface area of a cuboid as follows:

[tex]Surface\ Area =2(LB + LH + BH)[/tex]

Where L, B and H are the dimensions.

So,

[tex]Surface\ Area = 2(21 * 18 + 21 * 15 + 18 * 15)[/tex]

[tex]Surface\ Area = 2(378 + 315 + 270)[/tex]

[tex]Surface\ Area = 2(963)[/tex]

[tex]Surface\ Area = 2 * 963[/tex]

[tex]Surface\ Area = 1926cm\²[/tex]

Hence, 1926 cm² of fabrics are needed to cover all surfaces.

To make 1 batch of sky blue paint, Clare mixes 2 cups of blue paint with 1 gallon of white paint.

a. Explain how Clare can make 2 batches of sky blue paint.

Claire can mix
[ Select ]
cups of blue paint with
[ Select ]
gallons of white paint.

b. Explain how to make a mixture that is a darker shade of blue than the sky blue.

You could mix
[ Select ]
2 cups of blue paint with 1 gallon of white paint or use less
[ Select ]
paint with Clare's recipe.

c. Explain how to make a mixture that is a lighter shade of blue than the sky blue.

You could mix
[ Select ]
2 cups of blue paint with 1 gallon of white paint or use more
[ Select ]
paint with Clare's recipe.

Answers

Claire can mix 4 cups of blue paint with 2 gallons of white paint.
(More than?) 2 cups of blue paint with 1 gallon of white paint or use less white paint with Claire recipe.
(Less than?) 2 cups of blue paint with 1 gallon of with white paint or use more white paint with Claire recipe. Sorry I was a bit confused with a bit but this should be right

parallelogram pqrs is shown. find the m

Answers

35 should be the answer

Anita opens a savings account by making a deposit of $272.95. Every week, she deposits another $45.25 in the account. How much will be in the account after 6 weeks?
$318.20
$453.95
$499.20
$544.45

Answers

$272.95+ $45.25 x 6 weeks= $544.45

Answer:

D. $544.45

Step-by-step explanation:

step 1:

6 x 45.25 = 271.5.

step 2:

271.5 + 272.95 = 544.45

A photograph of a strand of human hair shows the hair magnified by factor of 200. If the photo shows the hair as 2cm wide, what is the actual width of the hair

Answers

Answer:

i need points and i dont know this answer to the guestion

Step-by-step explanation:

Find the solution set for 8x^-9x=-1

Answers

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=\frac{1}{8},\:x=1[/tex]

Step-by-step explanation:

Given the equation

[tex]8x^2-9x=-1\:\:[/tex]

Add 1 to both sides

[tex]8x^2-9x+1=-1+1[/tex]

[tex]8x^2-9x+1=0[/tex]

as

[tex]\left(8x-1\right)\left(x-1\right)=8x^2-9x+1[/tex]

so the equation becomes

[tex]\left(8x-1\right)\left(x-1\right)=0[/tex]

Using the zero factor principle:

[tex]\:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

so

[tex]8x-1=0\quad \mathrm{or}\quad \:x-1=0[/tex]

solving

[tex]8x-1=0[/tex]

[tex]8x=1[/tex]

[tex]\frac{8x}{8}=\frac{1}{8}[/tex]

[tex]x=\frac{1}{8}[/tex]

also solving

[tex]x-1=0[/tex]

[tex]x=1[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=\frac{1}{8},\:x=1[/tex]

Each side of a square is increasing at a rate of 6 cmys. At what rate is the area of the square increasing when the area of the square is 16 cm2?

Answers

Answer:

 k I think it is 16v cm 4

Step-by-step explanation:

A train travels 25 miles in 20 minutes. What is the train’s speed in miles perhour?

Answers

Answer:

So,

The rate of the train is 25mi/20mins.  We need (x)mi/hr.  We can do that by multiplying by 3.

25(3) = 75

The train's speed in mph is 75 mph.

Step-by-step explanation:

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