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Vesna [10]
3 years ago
7

Find the unit rate. Malachi reads 5/8 of a page in 2/3 of a minute

Mathematics
1 answer:
OverLord2011 [107]3 years ago
5 0

Answer:

B: 16/15

Step-by-step explanation:

(5/8) : (2/3) = 1 : x

x =(2/3) / (5/8) = 16/15

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Determine whether the given signal is a solution to the difference equation. Then find the general solution to the difference eq
Ulleksa [173]

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

The given equation is:

y_{k + 2} + 8y_{k +1} - 9y_{k} = 20k + 12..(1)

put,

y_k = k^2\\\\y_{k+2}=(k+2)^2\\\\y_{k+1}=(k+1)^2\\\\

(k+2)^2+8(K+1)^2-9k^2 = 20k+12\\\\=20k+12= 20K+12\\\\

hence y_k=k^2 is its solution.

Now,

\to y_{k+2}+ 8y_k + 1 - 9y_k = 20k + 12

the symbol form is:

(E^2+8E-9)_{yk}=20k+12

\to m^2+8m-9=0\\\\\to m^2+(9-1)m-9=0\\\\\to m^2+9m-m-9=0\\\\\to m(m+9)-(m+9)=0\\\\\to (m+9)(m-1)=0\\\\\to m=-9 \ \ \ \ \ \ \  m=1\\

The general solution is:

y_k =  c_1(-9)^k + c_2(`1)^k\\\\y_k =c_1(-9)^k+c_2

The complete solution is:

y_k=(y_k)_c+(y_k)_y\\\\y_k= c_1(-9)^k+c_2+k^2

The answer is option b: y_k = k^2 + c_1(-9)^k + c_2

After solve the complete solution is:

\bold{y_1=c_1(-9)^k+c_2+k^2.....}

5 0
3 years ago
List the first 5 multiples of 4. * Your answer​
posledela

Answer:

4,8,12,16,20

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
>
Bad White [126]

The net would be 51 feet long to stretch from one side of the court to the other

<h3>What are scaled drawings?</h3>

Scale drawings are drawings that shows a diagram with another proportional dimensions

The scale ratio of the diagram is given as:

Scale = 1 inch = 12 feet

The length of the net is given as:

Length = 4.25 inches

So, the actual length of the net is:

Length = 4.25 \times 12

Evaluate the product

Length = 51

Hence, the net would be 51 feet long, if stretched across the court

Read more about scaled drawings at:

brainly.com/question/24579126

6 0
2 years ago
Latoya is making monthly payments of $58.00 to pay off a loan that she took
spayn [35]

Answer:

$62

Step-by-step explanation:

I think there is some missing information. Primarily what the price of the 'Viola' is. Also, I think there might be something else missing, since the obvious answer would be the highest value  $62.00

8 0
3 years ago
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What is the greatest common factor of 56, 80 and 56?
Irina-Kira [14]
The greatest common factor would be 8
3 0
3 years ago
Read 2 more answers
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