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krek1111 [17]
3 years ago
15

For what values of k

Mathematics
1 answer:
sergey [27]3 years ago
3 0

If y = cos(kt), then its first two derivatives are

y' = -k sin(kt)

y'' = -k² cos(kt)

Substituting y and y'' into 49y'' = -16y gives

-49k² cos(kt) = -15 cos(kt)

⇒   49k² = 15

⇒   k² = 15/49

⇒   k = ±√15/7

Note that both values of k give the same solution y = cos(√15/7 t) since cosine is even.

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Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach measured at high tide where 1
Rudiy27

Answer:

Step-by-step explanation:

1. Erosion patterns

(a) Western Beach

In 15 yr, Western Beach erodes from 100 ft to 70 ft.

The rate of erosion is 30 ft/15 yr = 2 ft/yr.

(b) Dunes Beach

In 15 yr, Dunes Beach builds up from 20 ft to 95 ft.

The rate of buildup is 75 ft/15 yr = 5 ft/yr.

Beaches with equal width

The western beach loses 2 feet each year, every 5 years the beach loses 10 feet. Dunes beach gets 5 feet every year, and every 5 years the beach loses 25 feet.

2.From the table, it appears that the beaches will have the same width sometime in year 11 (2006).

wester beach at 11 years it was 78.

dunes beach it was 75.

and these are the most closest value beatween two  beaches

3. even if the rate remains constant we wont be able to have same width . because the width of weatern beach is decreasing and dunes beach is increasing. so the year their width was almost equal was year 11th. they will never have the same width because western beach is going down in width and dunes is going up.

hope it helps.  hope i get brainlist

3 0
2 years ago
There is a competition at the local movie theater for free movie tickets. You must guess all four employees' ages given a few cl
Pie

Complete question :

There is a competition at the local movie theater for free movie tickets. You must guess all four employees' ages given a few clues. The first clue is when their ages are added together the sum is 106. Kirk is 2 times the quantity of ten years less than the manager's age, Brian is 12 years younger than twice the manager's age, ,and Matt is 6 years older than ½ the manager's age. What are all four of their ages? Be sure to show set up equation work and answer

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following clue :

Let manager's age = m

Kirk's age = k

Brian's age = b

Matt's age = a

Sum of their ages = 106

k = 2(m - 10) = 2m - 20

b = 2m - 12

a = 0.5m + 6

k + b + a + m = 106

Express all their ages in terms of m

2m - 20 + 2m - 12 + 0.5m + 6 + m = 106

5.5m - 20 - 12 + 6 = 106

5.5m - 26 = 106

5.5m = 106 + 26

5.5m = 132

m = 132 / 5.5

m = 24

Manager's age = 24 years

kirk = 2(24 - 10) = 2(14) = 28 years

Brian = 2(24) - 12 = 48 - 12 = 36 years

Matt = 0.5(24) + 6 = 12 + 6 = 18 years

5 0
3 years ago
What is the value of 4+ y if y = 18?
spin [16.1K]

Answer:

22

Step-by-step explanation:

4+18 = 22

5 0
3 years ago
Read 2 more answers
How many zero pairs must be added to the function
MakcuM [25]

1 zero pair of 25 was added to bring given function into vertex form.

<h3>What is a Zero Pair ?</h3>

A zero Pair is the set of two numbers which when added together gives 0.

The function given is

f(x) = x² -10x -4

To convert it into the vertex form

y = a(x-h)²  +k

f(x) = x² -10x +25 -25 -4

f(x) = x² -10x +5² -25-4

f(x) = (x-5)² -29

Therefore this is the given function's vertex form and

1 zero pair of 25 was added to bring it into that.

Therefore Option D is the answer.

To know more about Zero Pair

brainly.com/question/5567379

#SPJ1

3 0
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Joshua spends 25 minutes of each day reading. He reads d days a week. Let m represent the number total minutes of reading a week
Rasek [7]

Answer:

25 x D = Y

Step-by-step explanation:

Example: Say he reads for three days a week.

25 x 3 = 75

or 6 days

25 x 6 = 150

or 4

25 x 4 = 100

4 0
3 years ago
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