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RideAnS [48]
3 years ago
11

Which expression is equivalent to the given expression?​

Mathematics
2 answers:
mezya [45]3 years ago
7 0

<u>Choice C. </u><u>is equivalent.</u>

Let's first simplify, starting with the denominator.

a to the power of 0 is 1. —> any value to the power of 0 is 1.

That leaves us with <u>(</u>1b^2)^4. Now we can distribute the exponent. But before that, let's get rid of the coefficient 1, which isn't necessary.

Now we are left with (b^2)^4.

Let's use the power of the power rule, which means that we multiply the exponent by the exponent. The denominator is now b^8.

Looking at the numerator, there is a b, which has a hidden exponent of one. —> We can get rid of it by taking away its exponent of 1 with the b^8 from the denomiator.

. . . b^1 goes away, and b^8 becomes b^7.

<u>We cannot simplify any further,</u> therefore the final expression is. . .

<h2>6a/b^7.</h2>

Masja [62]3 years ago
3 0

Step-by-step explanation:

( \frac{6ab}{(a {}^{0} {b}^{2} ) {}^{4}  } ) \\  \\  =(  \frac{6ab}{1 \times  {b}^{8} } ) \\  \\  =  \frac{6a}{ {b}^{7} }

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5/6+2i<br><br><br>Aka<br><br><br> 5<br><br>___<br><br>6+2y<br>Ignore my answer its probably wrong
liberstina [14]

Answer:

   (3/4) -(1/4)i

Step-by-step explanation:

Your answer is correct.

\dfrac{5}{6+2i}=\dfrac{5(3-i)}{2(3+i)(3-i)}=\dfrac{5(3-i)}{2(9+1)}\\\\=\dfrac{3-i}{4}=\dfrac{3}{4}-\dfrac{1}{4}i

8 0
3 years ago
ernie walks 1/6 mile in 1/12 hour when he walks along the river trail. How many miles per hour does Ernie walk when he hikes on
ohaa [14]

Answer:

2 miles

Step-by-step explanation:

distance=rate*time

d=rt

1/6=r*(1/12)

multiply both sides by 12

12(1/6)=r*(1/12)12

2=r*1

2=r

rate=2 miles per hour

5 0
3 years ago
A sample of 11 students using a Ti-89 calculator averaged 31.5 items identified, with a standard deviation of 8.35. A sample of
lina2011 [118]

Answer:

We reject H₀, with CI = 90 % we can conclude that the mean numbers of times identified with Ti-84 does not exceed that of the Ti-89 by more than 1,80

Step-by-step explanation:

Ti-89 Calculator

Sample mean     x = 31,5

Sample standard deviation   s₂  = 8,35

Sample size        n₂ = 11

Ti-84 Calculator

Sample mean     y = 46,2

Sample standard deviation   s₁  = 9,99

Sample size        n₁ = 12

t(s)  = ( y - x - d ) / √s₁²/n₁ + s₂²/n₂

t(s)  = 12,9 / √(99,8/12) + (69,72/11)

t(s)  = 12,9 / √8,32 + 6,34

t(s)  = 12,9 / 3,83

t(s) = 3,37

Test Hypothesis

Null Hypothesis               H₀      y - x > 1,80

Altenative Hypothesis       Hₐ      y - x ≤ 1,80

We have a t(s) = 3,37

We need to compare with t(c)   critical value for

t(c) α; n₁ +n₂-2            df = 12 +11 -2     df  = 21

If we choose  CI = 95 %    then  α = 5 %   α = 0,05

From t-student table

t(c) = 1,72

t(s) = 3,37

t(s) >t(c)

t(s) is in the rejection region therefore we accept Hₐ with CI = 95 %

8 0
3 years ago
20% of the rose Annette picked from a rose garden were red if she picked 10 red roses how many roses did she pick from the garde
horrorfan [7]

Answer:

Option A

Annette picked  50 roses  from the garden

Step-by-step explanation:

Let us understand the problem, designating letters to represent unknown quantities.

Let the total number of roses = x

20% of the roses were red means that 20% of x = red

Since the number of red roses = 10,

we will have that 20% of x = 10

mathematically, we will have

\frac{20}{100} \times x = 10\\x= \frac{1000}{20}= 50

hence, Annette picked  50 roses  from the garden

7 0
3 years ago
I read 2/9 of My book on Friday, 1/3 of it on Saturday and the rest, 120 Pages on Sunday. How many Pages has My book? Help Pls..
USPshnik [31]
2/9 +1/3=5/9
this means you read a total of 5/9 of your book on Friday and Saturday. so to finish your book, you must have read 4/9 of it on Sunday. If (4/9)x=120, x=270; your book has 270 pages.
4 0
3 years ago
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