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Strike441 [17]
2 years ago
8

You ask 150 people about their pets. The results show that 9/25 of the people own a dog. Of the people who own a dog. 1/6 of the

m also own a cat. How many people own a dog but not a cat?
Mathematics
2 answers:
asambeis [7]2 years ago
6 0
45 9 x 6 = 54 / 6 = 9. 54 - 9 = 45
Kruka [31]2 years ago
4 0
First you should make the "9/25" equal to the original fraction which is out of 150. multiply both the numerator and denominator by 6 in order to get 54/150. This is stating that 54 out of 150 people have dogs. Now it says that 1/6 of the people who own dogs also own cats. So divide 54 by which would equal 9, then subtract 9 from 54 to get your answer of 45 people who own dogs that do not own cats.
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(b) For those values of k, verify that every member of the family of functions y = A sin(kt) + B cos(kt) is also a solution. y =
frutty [35]

Answer:

Check attachment for complete question

Step-by-step explanation:

Given that,

y=Coskt

We are looking for value of k, that satisfies 4y''=-25y

Let find y' and y''

y=Coskt

y'=-kSinkt

y''=-k²Coskt

Then, applying this 4y'"=-25y

4(-k²Coskt)=-25Coskt

-4k²Coskt=-25Coskt

Divide through by Coskt and we assume Coskt is not equal to zero

-4k²=-25

k²=-25/-4

k²=25/4

Then, k=√(25/4)

k= ± 5/2

b. Let assume we want to use this

y=ASinkt+BCoskt

Since k= ± 5/2

y=A•Sin(±5/2t)+ B •Cos(±5/2t)

y'=±5/2ACos(±5/2t)-±5/2BSin(±5/2t)

y''=-25/4ASin(±5/2t)-25/4BCos(±5/2t

Then, inserting this to our equation given to check if it a solution to y=ASinkt+BCoskt

4y''=-25y

For 4y''

4(-25/4ASin(±5/2t)-25/4BCos(±5/2t))

-25A•Sin(±5/2t)-25B•Cos(±5/2t).

Then,

-25y

-25(A•Sin(±5/2t)+ B •Cos(±5/2t))

-25A•Sin(±5/2t) - 25B •Cos(±5/2t)

Then, we notice that, 4y'' is equal to -25y, then we can say that y=Coskt is a solution to y=ASinkt+BCoskt

4 0
2 years ago
A stadium brings in $16.25 million per year. it pays football-related expenses of $13.5 million and stadium expenses of $2.7 mil
Ganezh [65]
We have that

Profit margin is calculated by finding the net profit as a percentage of the revenue

Profit margin = [Net profit / Revenue]

Net profit= [Revenue-Cost]

we know that

Revenue = $16.25 million

Cost = $13.5 million + $2.7 million

Net profit = [16.25 million - (13.5 million + 2.7 million)]

Net profit = $0.05 million

Profit margin = 0.05 / 16.25

Profit margin = 0.003077 or 0.3077%


3 0
2 years ago
Isoke is solving the quadratic equation by completing the square.10x2 + 40x – 13 = 0 10x2 + 40x = 13 A(x2 + 4x) = 13What is the
Elina [12.6K]

we have

10x^{2} + 40x - 13 = 0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

10x^{2} + 40x =13

Factor the leading coefficient

10(x^{2} + 4x) =13 ----------> the value of A is 10

Complete the square. Remember to balance the equation by adding the same constants to each side

10(x^{2} + 4x+4) =13+40

10(x^{2} + 4x+4) =53

Rewrite as perfect squares

10(x+2)^{2} =53

10(x+2)^{2} =53  \\ (x+2)^{2} =\frac{53}{10} \\ \\ x+2=(+/-)\sqrt{\frac{53}{10}}  \\ \\ x1=-2+\sqrt{\frac{53}{10}}\\ \\ x2=-2-\sqrt{\frac{53}{10}}

therefore

the answer is

the value of A is 10

3 0
2 years ago
Read 2 more answers
Antony has a net spendable income of $1,950 per month. What is the maximum recommended amount of money that he should budget for
REY [17]

The max budget for food is 17%


.17 x 1950 = 331.5


The answer is $332


Just took this test and got it right

7 0
2 years ago
Read 2 more answers
Which set of ordered pairs represents a function?
34kurt
The answer is b because no x-value can repeat. 
4 0
2 years ago
Read 2 more answers
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