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4 years ago

What is the pattern for 360,60,10

Mathematics

1 answer:

alexgriva [62]4 years ago

3 0

Step-by-step explanation: Begin by studying the pattern.

Notice that if we divide the first term,

360, by 6, we get the second term, 60.

Similarly, if we divide the second term,

60, by 6, we get the third term, 10.

So each new term is equal to the previous term

divided by 2, so we use this idea to find any missing terms.

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6v + 38 = -4 or 2(v + 3) = -2<br><br>How do I solve this?

olga_2 [115]

6v + 48 = -4
6v + 48 - 48 = -4 - 48
6v = -52
v = -52/6

5 0

3 years ago

Match each differential equation to a function which is a solution.

inessss [21]

Answer: 1 - C

2 - E

3 - no answer

4 - B

Step-by-step explanation:

A. $y = 3x+x^2$

$y' = 3 + 2x\\y'' = 2$

Replace in 1:

$y'' + y = 0$

$2 + 3x + x^2 \neq 0$

So, A is not an answer for 1

Replace in 2:

$y' = 3y$

$3+2x = 3(3x + x^2)$

So, A is not an answer for 2

Replace in 3

$2x^2y'' + 3xy'= y$

$2x^2(2) + 3x(3 + 2x) = 4x^2 + 9x + 6x^2 \neq 3x+x^2$

So, A is not an answer for 3

Replace in 4

$y'' + 6y' + 8y = 0$

$2 + 6(3+2x)+8(3x + x^2) = 2+18+12x+24x+8x^2 \neq 0$

So, A is not an answer for 4

B. $y = e^{-4x}$

$y' = -4e^{-4x}$

$y'' = 16e^{-4x}$

Replace in 1

$y'' + y = 0$

$16e^{-4x} -4e^{-4x} = 12e^{-4x} \neq 0$

So, B is not an answer for 1

Replace in 2

$y' = 3y$

$-4e^{-4x} \neq 3e^{-4x}$

So, B is not an answer for 2

Replace in 3

$2x^2y'' + 3xy' = y$

$2x^2(16e^{-4x}) +3x(-4e^{-4x}) \neq e^{-4x}$

So, B is not an answer for 3

Replace in 4

$y'' + 6y' +8y = 0$

$16e^{-4x} + 6(-4e^{-4x}) + 8e^{-4x} = e^{-4x}(16-24+8) = 0$

So, B is an answer for 4

C. $y = sin(x)$

$y' = cos(x)$

$y'' = -sin(x)$

Replace in 1

$y'' + y = 0$

$-sin(x) + sin(x) = 0$

So, C is an answer for 1

We jump to

D. $y = x^{12}$

$y' = 12x^{11}$

$y'' = 132 x^{10}$

Replace in 2

$y' = 3y$

$12x^{11} \neq 3x^{12}$

So, D is not an answer for 2

Replace in 3

$2x^2y'' + 3xy' = y$

$2x^2(132x^{10}) + 3x(12x^{11}) = 300x^{12} \neq x^{12}$

So, D is not an answer for 3

E. $y = 6e^{3x}$

$y' = 18e^{3x}$

$y'' = 54e^{3x}$

Replace in 2

$y' = 3y$

$18e^{3x} = 3(6e^{3x}) = 18e^{3x}$

So, E is an answer for 2

3 0

3 years ago

66 rounded to the nearest hundredth

kykrilka [37]

66 rounded to the nearest hundred is 100.
If the last two digit of the number are 50 or above round up.
But....
If the last two digit of the number are 49 or below round down.
But remember also.....
If the last two digit are zeros, do not round, it is already in the hundred.
Hope this helps u.

3 0

3 years ago

Read 2 more answers

Use the equation to answer the following question y=(x-3(x+2)/(x+4)(x-4)(x+2)

givi [52]

Answer:

See below

Step-by-step explanation:

The given rational function is;

$y=\frac{(x-3)(x+2)}{(x+4)(x-4)(x+2)}$

The given function is not continuous where the denominator is equal to zero.

$(x+4)(x-4)(x+2)=0$

The function is discontinuous at $x=-4,x=4,x=-2$

b) The point at x=-2 is a removable discontinuity(hole) because (x+2) is common to both the numerator and the denominator.

The point at x=-4 and x=4 are non-removable discontinuities(vertical asymptotes)

c) The equation of the vertical asymptotes are x=-4 and x=4

To find the equation of the horizontal asymptote, we take limit to infinity.

$\lim_{x\to \infty}\frac{(x-3)(x+2)}{(x+4)(x-4)(x+2)}=0$

The horizontal asymptote is y=0

8 0

3 years ago

Eva and Dulcina have 82 pins together. Dulcina has 34 more pins than Eva. How many pins are in Dulcina's collection? How many pi

zavuch27 [327]

Answer:

Dulcina's collection has 57 pins

Eva's collection has 25 pins

Step-by-step explanation:

first we are going to represent the relation of pins by means of an equation

d = Dulcina

e = Eva

e + d = 82

and now we represent the relation of the collections of each one

d = e + 32

having the 2 equations we can replace the d by (e + 32) and place it in the other equation

e + d = 82

e + (e + 32) = 82

2e + 32 = 82

2e = 82 - 32

2e = 50

e = 25

Now we replace e with 25 in the second equation and get the value of d

d = e + 32

d = 25 + 32

d = 57

3 0

3 years ago

Read 2 more answers