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3 years ago

Which is a prime number 21 23 25 27 29

Mathematics

1 answer:

UNO [17]3 years ago

8 0

Answer:

29 :)

it is 29 because 29 falls under all the prime number characteristics

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What is the sum of the infinite geometric series with a1=42 and r=6/5?

Cerrena [4.2K]

This infinite sum is given by

a
S = ------ but ONLY if r<1. Here, r>1, so the infinite sum does not exist.
1-r

8 0

3 years ago

I Really Need Some Help With These I'm Really Struggling Can You Help Me Please

jeka57 [31]

Im not rlly sure about this it seems confusing

4 0

3 years ago

Read 2 more answers

How many cm make 1m? Can some pls tell me from mm to km

Alborosie

Answer:

100cm= 1m

100000mm= 1km

5 0

3 years ago

If f(x) = 4x and g(x) = x^3, then what is f(g(x))?

kompoz [17]

Answer:

f(g(x)) = 4x³

Hence, option C is true.

Step-by-step explanation:

Given

$f(x) = 4x$

$g\left(x\right)\:=\:x^3$

Determine:

f(g(x)) = ?

solving the f(g(x))

f(g(x)) = f(x³)

= 4x³

Therefore,

f(g(x)) = 4x³

Hence, option C is true.

8 0

3 years ago

The Laplace Transform of a function f(t), which is defined for all t > 0, is denoted by L{f(t)} and is defined by the imprope

lesya692 [45]

(1) D

$L_s\left\{t\right\} = \displaystyle\int_0^\infty te^{-st}\,\mathrm dt$

Integrate by parts, taking

$u = t \implies \mathrm du=\mathrm dt$

$\mathrm dv = e^{-st}\,\mathrm dt \implies v=-\dfrac1se^{-st}$

Then

$L_s\left\{t\right\} = \displaystyle \left[-\frac1ste^{-st}\right]\bigg|_{t=0}^{t\to\infty}+\frac1s\int_0^\infty e^{-st}\,\mathrm dt$

$L_s\left\{t\right\} = \displaystyle \frac1s\int_0^\infty e^{-st}\,\mathrm dt$

$L_s\left\{t\right\} = \displaystyle -\frac1{s^2}e^{-st}\bigg|_{t=0}^{t\to\infty}$

$L_s\left\{t\right\} = \displaystyle \boxed{\frac1{s^2}}$

(2) A

$L_s\left\{1\right\} = \displaystyle\int_0^\infty e^{-st}\,\mathrm dt$

$L_s\left\{1\right\} = \displaystyle\left[-\frac1se^{-st}\right]\bigg|_{t=0}^{t\to\infty}$

$L_s\left\{1\right\} = \displaystyle\boxed{\frac1s}$

7 0

3 years ago