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2 years ago

Compare: (4x10 to the 3rd power) + (2x100) + (3x1/10) ____ (4x1000) + (2x10 to the 2nd power) + (3x1/10)

Mathematics

1 answer:

postnew [5]2 years ago

5 0

Answer:

Take your time to complete the equation. Don't rush. This is very easy you just need to be patient..

Step-by-step explanation:

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How do you solve it (9/5) A 45 B 55 C 126 D 4

aleksley [76]

It looks like a division problem, but the answer is when ypu multiply the yto sa A is the answer.

3 0

3 years ago

Find a homogeneous linear differential equation with constant coefficients whose general solution is given by

frez [133]

Answer:

$y" + 2y' + 2y = 0$

Step-by-step explanation:

Given

$y=c_1e^{-x}cosx+c_2e^{-x}sinx$

Required

Determine a homogeneous linear differential equation

Rewrite the expression as:

$y=c_1e^{\alpha x}cos(\beta x)+c_2e^{\alpha x}sin(\beta x)$

Where

$\alpha = -1$ and $\beta = 1$

For a homogeneous linear differential equation, the repeated value m is given as:

$m = \alpha \± \beta i$

Substitute values for $\alpha$ and $\beta$

$m = -1 \± 1*i$

$m = -1 \± i$

Add 1 to both sides

$m +1= 1 -1 \± i$

$m +1= \± i$

Square both sides

$(m +1)^2= (\± i)^2$

$m^2 + m + m + 1 = i^2$

$m^2 + 2m + 1 = i^2$

In complex numbers:

$i^2 = -1$

So, the expression becomes:

$m^2 + 2m + 1 = -1$

Add 1 to both sides

$m^2 + 2m + 1 +1= -1+1$

$m^2 + 2m + 2= 0$

This corresponds to the homogeneous linear differential equation

$y" + 2y' + 2y = 0$

6 0

3 years ago

Wich mathematical expression represent this statement?the sqaure of a number times 3

sergeinik [125]

Answer:

Step-by-step explanation:

( n^2)×3 can be written as 3(n^2)

3 0

3 years ago

Use two points to enter an equation for the function. Give your answer in the form a(b)^n. In the event that a = 1, give your an

levacccp [35]

Answer:

$m(n) = 24 (0.75)^n$

Step-by-step explanation:

1) The two points are:

a) On the first swing she swings forward by 18 degrees: (1, 18)

b) On the second swing she only comes 13.5 degrees forward: (2,13.5)

2) The general equation using the form given is:

$m(n)=A(B)^n$

3) Substitute the two points:

$18=A(B)\\ \\ 13.5=A(B)^2$

4) Divide the second equation by the first one:

⇒ 13.5 / 18 = B

⇒ B = 0.75

5) Substitue B = 0.75 into the first equation:

18 = A (0.75) ⇒ A = 18 / 0.75 = 24

Hence, the equation is:

$m(n) = 24 (0.75)^n$

5 0

3 years ago

Solve the equation for x. x + 3 /6 = x - 6/ 3 A) 9 B) 12 C) 15 D) 18

Strike441 [17]

Answer:

Step-by-step explanation:

7 0

3 years ago