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2 years ago

6

Round 19.432 to the nearest whole

2 answers:

andre [41]2 years ago

4 0

The nearest whole number is 20.

nexus9112 [7]2 years ago

4 0

Answer:

19

Step-by-step explanation:

if the number was 19.5 or later up to 20 then the answer would have been 20

but your number was 19.432 which is less then 19.5 so the your answer is 19.

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What do you have to do to each side to solve 5x < 20? <br> Solve 5x < 20. ✏️Show your work

sergejj [24]

Answer:

x < 4

Step-by-step explanation:

Step 1: Write inequality

5x < 20

Step 2: Solve for <em>x</em>

Divide both sides by 5: x < 4

Here we see that any number less than 4 will work. So numbers like 3, 0, or even -12587235897 would work.

5 0

3 years ago

Determine determine whether the following geometric series converges or diverges. if the series converges find its sum.

Lilit [14]

For starters,

$\dfrac{3^k}{4^{k+2}}=\dfrac{3^k}{4^24^k}=\dfrac1{16}\left(\dfrac34\right)^k$

Consider the $n$ th partial sum, denoted by $S_n$ :

$S_n=\dfrac1{16}\left(\dfrac34\right)+\dfrac1{16}\left(\dfrac34\right)^2+\dfrac1{16}\left(\dfrac34\right)^3+\cdots+\dfrac1{16}\left(\dfrac34\right)^n$

Multiply both sides by $\frac34$ :

$\dfrac34S_n=\dfrac1{16}\left(\dfrac34\right)^2+\dfrac1{16}\left(\dfrac34\right)^3+\dfrac1{16}\left(\dfrac34\right)^4+\cdots+\dfrac1{16}\left(\dfrac34\right)^{n+1}$

Subtract $S_n$ from this:

$\dfrac34S_n-S_n=\dfrac1{16}\left(\dfrac34\right)^{n+1}-\dfrac1{16}\left(\dfrac34\right)$

Solve for $S_n$ :

$-\dfrac14S_n=\dfrac3{64}\left(\left(\dfrac34\right)^n-1\right)$

$S_n=\dfrac3{16}\left(1-\left(\dfrac34\right)^n\right)$

Now as $n\to\infty$ , the exponential term will converge to 0, since $r^n\to0$ if $0$ . This leaves us with

$\displaystyle\lim_{n\to\infty}S_n=\lim_{n\to\infty}\sum_{k=1}^n\frac{3^k}{4^{k+2}}=\sum_{k=1}^\infty\frac{3^k}{4^{k+2}}=\frac3{16}$

8 0

2 years ago

Read 2 more answers

19/10 rational or irrational ?

yarga [219]

Definition of a rational number:

A rational number is a number that can be written as fraction of integers.

19/10 is a fraction.

19 and 10 are integers.

19/10 follows exactly the definition of a rational number, so it is rational.

3 0

2 years ago

The water of a tank is initially 24 feet, and it is being

dimulka [17.4K]

Answer:

oof

Step-by-step explanation:

8 0

2 years ago

Which table shows y as DIRECTLY PROPORTIONAL to x

Furkat [3]

Answer:

Table B

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

<em>Verify table B</em>

For $x=1, y=1/2$ -----> $k=y/x=(1/2)/1=1/2$

For $x=2, y=1$ -----> $k=y/x=1/2$

For $x=3, y=3/2$ -----> $k=y/x=(3/2)/3=1/2$

For $x=4, y=2$ -----> $k=y/x=2/4=1/2$

The values of k are the same

therefore

The table B shows y as DIRECTLY PROPORTIONAL to x

<em>Verify table D</em>

For $x=1, y=3$ -----> $k=y/x=3/1=3$

For $x=2, y=5$ -----> $k=y/x=5/2=2.5$

For $x=3, y=7$ -----> $k=y/x=7/3$

For $x=4, y=9$ -----> $k=y/x=9/4$

the values of k are different

therefore

The table D not shows y as DIRECTLY PROPORTIONAL to x

5 0

2 years ago