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kramer
3 years ago
15

Whats 3/4 as a decimal

Mathematics
2 answers:
pentagon [3]3 years ago
8 0
Since this is out of 4, you can think of 4 as being 1. Now each part of 4 needs to have an equal value so you need to split 1 into 4 equal values. So half of 1 is 0.5 and half of 0.5 is 0.25. So, each part of 4 has a value of 0.25.

1/4 = 0.25
2/4 = 0.50
3/4 = 0.75
siniylev [52]3 years ago
3 0
.75 is it because it is like quarters. MONEY
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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
What is the equation of a line, in point- slope form, that passes through (5, -3) and has a slope of 2/3?
Alika [10]
<h3><u><em>Option B</em></u></h3><h3><u><em>The equation of a line, in point- slope form, that passes through (5, -3) and has a slope of 2/3</em></u></h3><h3><u><em /></u>y + 3 = \frac{2}{3}(x -5)<u><em /></u></h3>

<em><u>Solution:</u></em>

<em><u>The equation of line in point slope form is given as:</u></em>

y - y_1 = m(x-x_1)

Where, "m" is the slope of line

Given that,

slope = 2/3

m = \frac{2}{3}

The line passes through (5, -3)

Substitute m = 2/3 and (x_1, y_1) = (5, -3) in point slope form

y - (-3) = \frac{2}{3}(x -5)\\\\y + 3 = \frac{2}{3}(x -5)

Thus equation of line in point slope form is found

8 0
3 years ago
Three consecutive odd intergers have a sum of 27. find the integers
Misha Larkins [42]
Solve for x:
x + (x + 2) + (x + 4) = 27
3x + 6 = 27
3x = 27 - 6
3x = 21
3x / 3 = 21 / 3
x = 7
The integers:
x + (x + 2) + (x + 4) = 27
7 + (7 + 2) + (7 + 4) = 27
7 + 9 + 11 = 27
27 = 27

The integers are 7, 9 , 11
6 0
3 years ago
Paisley is going to invest $28,000 and leave it in an account for 14 years. Assuming the interest is compounded monthly, what in
abruzzese [7]

Answer:

r=7

Step-by-step explanation:

74000=28000(1+r/12)^12(14)

divide 74000 by 28000, and cancel out 28000.

1.00580=1+r/12

(100) .06962=r

r = 6.96198

the 6 after the 9 rounds 9 to 0, which rounds the 6 to 7

r=7

5 0
3 years ago
Factorise<br>15 a^3 b - 35ab^3​
IRISSAK [1]

Answer:

15 a^3 b - 35ab^3

taking common

5ab(3a²-7b²)

8 0
3 years ago
Read 2 more answers
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