All categories

3 years ago

What is number 20 simplified?

Mathematics

1 answer:

guapka [62]3 years ago

6 0

Answer:

----------

5w^11

Step-by-step explanation:

8/20 reduces to 2/5, and (w^(-2)) / w^9 becomes 1 / w^11.

Overall, #20 reduces to:

----------

5w^11

Recall the rule of exponents:

w^a

----------- = w^(a-b)

w^b

and note that

w^(-2)

------------ = w^(-2-9) = w^(-11) (same as above)

w^9

You might be interested in

8−i

GalinKa [24]

Hi Veracity,

Answer:

(2 + i) = 2

Step-by-step explanation:

Multiply the denominator and numerator by the conjugate,

= $\frac{(8 - i)(3 + 2i)}{13}$

Combine Like Terms,

= $\frac{26 + 13i}{13}$

Simplify,

= 2 + i

Hope This Helps :)

3 0

2 years ago

The sides of the rectangle are in the ratio of 4:7. If its length is 31.5 in., find the width, the perimeter, and the area of th

AveGali [126]

Let $\ell$ the length and $w$ the width. By the ratio of the sides:

$\dfrac{w}{\ell}=\dfrac{4}{7}\Longrightarrow \dfrac{w}{31.5}=\dfrac{4}{7}\Longrightarrow w=\dfrac{4\cdot31.5}{7}\Longrightarrow \boxed{w=18~in.}$

Now, we'll find the perimeter p. We'll use the formula below:

$p=2(\ell+w)\\\\
p=2(31.5+18)\\\\
p=2\cdot49.5\\\\
\boxed{p=99~in.}$

The area of a rectangle is $S=w\cdot\ell$ . Then:

$S=w\cdot\ell\\\\
S=18\cdot31.5\\\\
\boxed{S=567~in.^2}$

8 0

3 years ago

Read 2 more answers

Write the expression below as a single logarithm in simplest form.<br> logo 7 – log, 7

Svet_ta [14]

Given:

The given expression is:

$\log_b7-\log_b7$

To find:

The single logarithm expression for the given expression.

Solution:

Quotient property of logarithm:

$\log_bm-\log_bn=\log_b\left(\dfrac{m}{n}\right)$

We have,

$\log_b7-\log_b7$

Using quotient property of logarithm, we get

$\log_b7-\log_b7=\log_b\left(\dfrac{7}{7}\right)$

$\log_b7-\log_b7=\log_b\left(1\right)$

Therefore, the required expression is $\log_b\left(1\right)$ .

5 0

2 years ago

24/15+32/12= list all the steps you do to find this amswer

tia_tia [17]

1. The lowest common multiple between 15 and 12 is 60.
So, the new denominator of the fraction become 60.
2. Because 15*4= 60 ; 12*5 =60
For sustaining the balance, we should multiply 24 (the first molecule) to 4 times and multiply 12 (the second molecule) to 5 times.
Like, 24*4 and 32*5
3.New denominator :60
New molecules : 24*4 + 32*5 = 256
Thus, 256/60
4.Ruduce of a fraction : 256/60 = 64/15

5 0

3 years ago

6<br> 45°<br> What's the missing side on the triangle?

My name is Ann [436]

If you mean missing angle, it would be 129.

8 0

2 years ago

Read 2 more answers