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3 years ago

is a sequence.

What kind of sequence is it?
(a). Arithmetic sequence
(b). Geometric sequence

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

4 0

Answer:

geometric sequence

Step-by-step explanation:

if its used to replace a num than i geometric

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A homogeneous second-order linear differential equation, two functions y1 and y2 , and a pair of initial conditions are given be

Basile [38]

Answer:

Step-by-step explanation:

Check part

$y= C_1y_1 + C_2y_2 = C_1cos(7x)+C_2sin(7x)$

$y'= -7 C_1sin(7x)+7C_2cos(7x)$

$y"= -49 C_1cos(7x) - 49 C_2sin(7x)$

Now, replace to the original one.

$y"+49 y = -49C_1cos(7x)-49 C_2 sin(7x) + 49 C_1cos(7x) +49 C_2sin(7x) = 0\\$

Done!!

Particular solution

$y(0) = C_1cos(0) + C_2 sin(0) = C_1= 10$

I believe that y'(0) = 4, not y(0) anymore. Since y(0) CANNOT have two different solution.

$y(0)'= -7 C_1sin(0) + 7 C_2 cos (0) = 7 C_2= -4$

$C_2 = -4/7$

The last step is to put C1, C2 into your solution. You finish it.

4 0

4 years ago

Find the value of x that makes the equation true. 12x=4(x+2)+20

d1i1m1o1n [39]

Answer:

7/2

Step-by-step explanation:

12x=4(x+2)+20

12x=4x+8+20

12x-4x=8+20

8x=28

x=28/8

simplify

x=7/2

3 0

3 years ago

Write a quadratic function whose graph has a vertex of (3, 2) and passes through the point (4, 7), using f(x) = a(x - h)^2 + k (

astra-53 [7]

Answer: f(x)=-2/9(x+1^+3

Step-by-step explanation:

5 0

4 years ago

A particular automatic sprinkler system has two different types of activation devices for each 3 sprinkler head. One type has a

zmey [24]

Answer:

There is an 85% probability that the sprinkler head will be activated.

Step-by-step explanation:

We have these following probabilities:

50% of the first sprinkler being triggered

90% of the first sprinkler being reliable

50% of the second sprinkler being triggered

80% of the second sprinkler being reliable.

What is the probability that the sprinkler head will be activated?

$P = P_{1} + P_{2}$

$P_{1}$ is the probability of the first sprinkler being triggered and activated. So:

$P_{1} = 0.5*0.9 = 0.45$

$P_{2}$ is the probability of the second sprinkler being triggered and activated. So:

$P_{2} = 0.5*0.8 = 0.40$

$P = P_{1} + P_{2} = 0.40 + 0.45 = 0.85$

There is an 85% probability that the sprinkler head will be activated.

6 0

3 years ago

Find the circumference of the circle and round to the nearest tenth

ikadub [295]

Answer:

circumference of circle = 2×pi×r

circumference of circle = 2×3.14×12.7

circumference of circle = 79.756 in

8 0

3 years ago