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Snezhnost [94]
3 years ago
11

Solve the exponential equation: 2^3x+1 = 128

Mathematics
1 answer:
dsp733 years ago
3 0

Answer:

So x=2.32956156226

Step-by-step explanation:

First subtract 1 on both sides

2^3x=127

Now you can rewrite this as

(2^3)^x

As it still equals the same thing

Now 2^3 is 8

So the equation is now

8^x=127

So we use log formula

log8 127=x

So how many times do we have to multiply 8 by itself to get 127?

The answer is: 2.32956156226

Hope this helps!

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The quality control manager of a light bulb factory needs to estimate the average life of a large shipment of light bulbs. The p
eimsori [14]

Answer:

b) yes

The manufacturer has the right to state that the light bulbs last on average 400 hours

Step-by-step explanation:

<u><em>Explanation:-</em></u>

<em>Given sample size 'n' = 64</em>

<em>Given standard deviation of the Population (σ)=100</em>

<em>Mean of the sample (x⁻) = 350 hours</em>

<em>95% of confidence interval is determined by</em>

(x^{-} -Z_{0.95} \frac{S.D}{\sqrt{n} } , x^{-} +Z_{0.95} \frac{S.D}{\sqrt{n} } )

((350 -1.96 \frac{100}{\sqrt{64} } , 350+1.96\frac{100}{\sqrt{64} }  )

(350-24.5 , 350+24.5)

<em>(325.5 , 374.5)</em>

<u><em>Conclusion:-</em></u>

<u><em>Yes</em></u>

The manufacturer has the right to state that the light bulbs last on average 400 hours

4 0
3 years ago
Find the unit rate for 521 miles in 14 hours.
WITCHER [35]
The answer is 37.21 miles per hour.
Hope this helps!!
8 0
3 years ago
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When no net force is applied to a moving object, it still comes to rest because of its inertia.
mafiozo [28]

Answer:

A true

Step-by-step explanation:


3 0
4 years ago
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Plsssssssssss just helppppp
yan [13]

Answer:

46

Step-by-step explanation:

The missing length is 10-4 = 6

Therefore perimeter = 5 + 6 + 8+ 4+13 +10

=46

3 0
3 years ago
Find the reference angle for 105 degree angle.
m_a_m_a [10]

Answer:

75° degree angle

Step-by-step explanation:

Since the angle 105° is in the second quadrant, subtract 105° from 180° .

180-105=75

6 0
3 years ago
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