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2 years ago

Rewrite lnx=4 as an exponential equation rewrite as a logarithmic equation: e^8=y

1 answer:

5 0

$\bf \textit{exponential form of a logarithm} \\\\ \log_a b=y \implies a^y= b\qquad\qquad a^y= b\implies \log_a b=y \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ln(x)=4\implies log_e(x)=4\implies e^4=x \\\\\\ e^8=y\implies log_e(y)=8\implies ln(y)=8$

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Answer please? ___ feet per second

Oksanka [162]

Answer: 30 feet per second

========================================

x = diameter, y = speed of water

y varies inversely with respect to x, so, y = k/x for some constant k

If x = 0.6 and y = 5 pair up, then y = k/x turns into 5 = k/0.6 which solves to k = 3 when you multiply both sides by 0.6

So the equation y = k/x turns into y = 3/x

Now plug in the diameter x = 0.1 to find the speed to be...

y = 3/x

y = 3/0.1

y = 30 feet per second

4 0

2 years ago

A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than c

disa [49]

Answer:

There is sufficient evidence. A further explanation is provided below.

Step-by-step explanation:

According to the question,

The alternative as well as null hypothesis will be:

$H_0:\mu = 16$

$H_a:\mu>16$

The test statistics will be:

⇒ $z = \frac{\frac{\bar x - \mu}{\sigma} }{\sqrt{n} }$

By putting the values, we get

⇒ $=\frac{\frac{16.06-16}{0.24} }{\sqrt{96} }$

⇒ $=\frac{\frac{0.06}{0.24} }{\sqrt{96} }$

⇒ $=2.45$

Or,

The p-value will be:

= 0.0071

i.e.,

⇒ $p-value< \alpha$

Thus the above is the correct answer.

6 0

2 years ago

Ted and Alan are in a race to double their money. Ted feels he will win if he puts his $4,000 into a savings account offering 4.

siniylev [52]

Ted:
4,000 @ 4.5% interest compounded annually

Alan:
1,000 @ 6% interest compounded annually

Rule of 72: divide 72 by the compound annual interest rate

Ted: 72/4.5% = 16 years
Alan: 72/6% = 12 years

<span>Alan will win. It will take 12 years.</span>

8 0

2 years ago

Read 2 more answers

Step 1: 1x-21+3=7 step 2: 1x-21=7-3 step 3: 1x-21=4 what would the next step be to solve equation

IgorC [24]

Add 21 to both sides

6 0

3 years ago

Plss help me do this o-o

Vinvika [58]

Answer:

$x=\sqrt6\\y=\sqrt{12}$