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Paraphin [41]
3 years ago
11

8/9 to what power equals 64/81

Mathematics
2 answers:
Ierofanga [76]3 years ago
7 0

2nd

Step-by-step explanation:

8/9 to the second power equals to 64/81. Hope this helps!

loris [4]3 years ago
7 0

Answer:

Hi  

x = exponent  

64 = 8·8 = 8^2

81 = 9·9 = 9^2

64/81 = 8^2/9^2 = (8/9)^2

(8/9)^2 = (8/9)^x

 

x = 2

Step-by-step explanation:

Please consider giving me brainliest.

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1. (01.02)<br><br> Given that f(x) = 4x – 3 and g(x)<br><br> 2x-1, solve for g(f(2)). (5 points)
attashe74 [19]

Answer:

9

Step-by-step explanation:

The first thing we shall be doing here is substituting f(x) into g(x).

Mathematically, that would be written as g(f(x))

= 2(4x-3)-1 = 8x -6 -1 = 8x - 7

Now we shall find g(f(2)) by substituting 2 into the expression above.

Mathematically, that would be 8(2) -7 = 16-7 = 9

6 0
3 years ago
Cold Boarders offers snowboard rentals for $5 per trip and an initial fee of
weqwewe [10]

Answer:

The prices will match up at 3 snowboard rental trips. The cost is $25.

Step-by-step explanation:

First, I wrote out the two equations:

Cold Boarders: 5x + 10

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Next, I kept trying numbers for x until I found one that worked. The two companies prices match up at 3 snowboard rental trips. The cost will be $25. Hope this helped!

4 0
3 years ago
A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Portland. The stu
iVinArrow [24]

Answer:

-0.061 < P_1 -P_2< 0.025

Step-by-step explanation:

Give data:

n_1 = 350

n_2 =250

x_1 = 23

x_2 = 21

\hat{P} 1 = \frac{x_1}{n_1} = \frac{23}{350} = 0.066

\hat{P} 2 = \frac{x_2}{n_2} = \frac{21}{250} = 0.084

for 95% confidence interval

\alpha = 1 - 0.95 = 0.05 and \alpha/2 = 0.025

z_{\alpha/2} = 1.96  from standard z- table

confidence interval for P_1  and P_2 is

\hat{P} 1 - \hat{P} 2 \pm z_{\alpja/2} \sqrt{\frac{\hat{P} 1(1-\hat{P} 1)}{n_1} +\frac{\hat{P} 2(1-\hat{P} 2)}{n_2}}

(0.066 - 0.084) \pm 1.96 \sqrt{\frac{0.066(1-0.066)}{350} +\frac{0.084(1-0.084)}{250}}

-0.018 \pm 0.043

confidence interval is

-0.018 - 0.043 < P_1 -P_2

-0.061 < P_1 -P_2< 0.025

7 0
3 years ago
How would you describe the slice that created the rectangular
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Answer:

The answer is perpendicular to the base.

Step-by-step explanation:

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