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3 years ago

5, 10, 20, 40, ...

Mathematics

1 answer:

DochEvi [55]3 years ago

5 0

5 10 20 40

10/5 = 2

20/10 = 2

40/20 = 2

Common ratio: $r=2$

Explicit formula: $a_n = 5 (2^{n-1})$

Recursive:

$a_{n+1} = 2 a_n$

$a_1 = 5$

This is a geometric sequence.

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1 point) Are the functions f,g, and h given below linearly independent? f(x)=e3x+cos(5x), g(x)=e3x−cos(5x), h(x)=cos(5x). If the

Fynjy0 [20]

Answer:

Functions are linearly dependent (are not linearly independent.)

Step-by-step explanation:

Remember that two functions f(x), g(x) and h(x) are said linearly independent on an interval I if the <em>only solution</em> to the equation

$\alpha f(x)+\beta g(x)+\omega h(x)=0, \ \text{for all } x\in I$

is the trivial one: α = 0, β = 0, ω = 0. If they are not linearly independent, they are called linearly dependent.

Now, let f(x), g(x) and h(x) be the functions:

$f(x)=e^{3x}+\cos(5x),$

$g(x)=e^{3x}-\cos(5x),$

$h(x)=\cos(5x).$

Then, letting α = 1, β= -1 and ω = -2, we see that:

$\alpha f(x)+\beta g(x)+ \omega h(x)=e^{3x}+\cos(5x)-e^{3x}+\cos(5x)+2\cos(5x)=0.$

Hence, the functions f(x), g(x) and h(x) are not linearly independent, or equivalently, are linearly dependent.

8 0

3 years ago

Y equals 2 + 4.3 X when x equals negative 6

zepelin [54]

I think y = (-23.8)

y=2+4.3x and let x=(-6) so y=2+(4.3 * -6) so y=2+ (-25.8) so y=2-25.8 so y= (-23.8)

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3 years ago

Kevin’s bill at a restaurant was $26.51. He left a 15% tip. About how much tip did Kevin leave?

Rzqust [24]

about $4

multiply the bill by 15% to calculate tip

tip = $26.51 × $\frac{15}{100}$ = 3.9765 ≈ $4

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Nina [5.8K]

Answer:

There is 8 vertices!

Step-by-step explanation:

They are just the points of the cube!

Hope this helps!

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3 years ago

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Find the ratio of Rs 20 and 900

Tema [17]

Answer:

1 : 45

Step-by-step explanation:

Given

Rs 20 and 900 ( divide both by 20 )

= 1 : 45

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