Ask question

Ask question

All categories

3 years ago

12

3^sqrt -64w^12

qrt[3]{ - 64w^{12}} " alt=" \sqrt[3]{ - 64w^{12}} " align="absmiddle" class="latex-formula">

1 answer:

Agata [3.3K]3 years ago

7 0

-64=(-4)³, w^12=(w^4)³
the result is -4w^4

You might be interested in

Let f(x) = - 10x + 9 and g(x) = x2 + 12 <br>Find f( - 4)/g( - 4)

Reptile [31]

Answer:

$\frac{49}{28}$

Step-by-step explanation:

Evaluate g(- 4) and f(- 4) by substituting x = - 4 into g(x) and f(x), that is

f(- 4) = - 10(- 4) + 9 = 40 + 9 = 49

g(- 4) = (- 4)² + 12 = 16 + 12 = 28

Then

$\frac{f(-4)}{g(-4)}$ = $\frac{49}{28}$ = $\frac{7}{4}$

7 0

3 years ago

Sarah stands at the corner of a rectangular field. If the field measures 180 m by 210 m, how far would Sarah need to walk to

Agata [3.3K]

Answer:

30√85 or 276.5863 meters

Step-by-step explanation:

Use pythag theorom. a^2+b^2=c^2

180^2+210^2=c^2

c=276.5863

4 0

2 years ago

Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks

Iteru [2.4K]

Let

$P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}$

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

$P(1):\ 1 = \dfrac{1\cdot 2}{2}=1$

So, the base case is ok. Now, we need to assume $P(n)$ and prove $P(n+1)$ .

$P(n+1)$ states that

$P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}$

Since we're assuming $P(n)$ , we can substitute the sum of the first n terms with their expression:

$\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}$

Which terminates the proof, since we showed that

$P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}$

as required

4 0

3 years ago

Put these decimals in order starting with the smallest.

iVinArrow [24]

Answer:

8.008

8.018

8.088

8.808

8.88

<em><u>If this helped, please consider picking this answer as the Brainliest Answer. Thank you!</u></em>

3 0

2 years ago

Read 2 more answers

What is the value of 6/x +2c^2, when x= 3?<br> O 8<br> O 11<br> O 14<br> 20

yarga [219]

Answer:

the answer is 11

Step-by-step explanation:

dont know

3 0

3 years ago