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3 years ago

What is the exponential form of log9 5 = y

Mathematics

1 answer:

Step2247 [10]3 years ago

6 0

Answer:

y = 0.732

Step-by-step explanation:

log3²(5) = y

(1/2) × log3(5) = y

y = (1/2) × log3(5)

y = 0.732487

y = 0.732 ( 3 sig.fig )

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A cereal company is putting 1 of 4 prizes in each box of cereal. The prizes are evenly distributed so the

lbvjy [14]

Answer:

$P(x < 7) = 0.383$

Step-by-step explanation:

Given

See attachment for plot

Required

Determine the probability that few than 7 boxes will be needed.

This is represented as:

$P(x < 7)$

And the solution is:

$P(x < 7) = P(x = 4) + P(x = 5) + P(x = 6)$

Each probability is calculated by dividing the number of dots by the total dots.

So, we have:

$P(x < 7) = \frac{n(x = 4) + n(x = 5) + n(x = 6)}{Total}$

From the attached, the formula becomes:

$P(x < 7) = \frac{4 + 6 + 3}{4+6+3+4+4+6+3+2+1+2+0+1}$

$P(x < 7) = \frac{13}{36}$

$P(x < 7) = 0.361$

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2 years ago

Write an equation of a line perpendicular to y=4x-3 that contains the point (0,7)

ExtremeBDS [4]

Let $k:y=m_1x+b_1$ and $l:y=m_2x+b_2$

$l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}$

We have

$y=4x-3\to m_1=4$

Therefore

$m_2=-\dfrac{1}{4}$

We have the equation of a line:

$y=-\dfrac{1}{4}x+b$

Put the coordinates of the point (0, 7) to the equation of a line:

$7=-\dfrac{1}{4}(0)+b\\\\\7=b\to b=7$

Answer: $\boxed{y=-\dfrac{1}{4}x+7}$

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3 years ago

Need answers for 1-9.

FinnZ [79.3K]

The answer is negative 8. Hope this Helps.

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3 years ago

Round 567,433 to the nearest hundred thousand

vesna_86 [32]

567,433 rounded to the nearest hundred thousandth is 600,000.

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3 years ago

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The cost of a plumbing repair is given by the equation y=45x+30, where x is the number of hours the repair takes and y is the to

arlik [135]

First you subtract the 30 from 300 and than 270/45 and your answer will be A. 6

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3 years ago