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Mumz [18]
3 years ago
11

Ln(3x)=2 wrote as a exponential equation

Mathematics
1 answer:
allsm [11]3 years ago
5 0

Answer:

3x = e^{2}

Step-by-step explanation:

Using the rule of logarithms

log_{b} x = n ⇔ x = b^{n}

Note that ln x = log_{e} x

Given

ln(3x) = 2, then

3x = e^{2} ← in exponential form

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What us the midpoint of A(-8,2) and B(4,-2)​
marusya05 [52]

Answer:

(-2 , 2)

Step-by-step explanation:

A(-8 , 2) = (x1 , y1)

B(4 , -2) = (x2 , y2)

midpoint = (x1 + x2/2  ,   y1 + y2/2)

=(-8 + 4/2  ,  2-(-2)/2)

=(-4/2  ,  2+2/2)

(-2  ,  2)

(3 , 7) = (x1 , y1)

(9 , 2) = (x2 , y2)

distance of PQ = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}

=\sqrt{(9 - 3)^2 + (2 - 7)^2}

=\sqrt{(6)^2 + (-5)^2}

=\sqrt{36 + 25}

=\sqrt{61}

=7.8 unit

4 0
3 years ago
A card is chosen at random from a deck of 52 playing cards. What is the probability that a heart or spade is chosen?
saul85 [17]

Answer:

D

Step-by-step explanation:

because there is a 1 in 52 chance you are going to get it

8 0
3 years ago
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A cereal box says that now it contains 40% more. Originally, it came with 24 ounces of cereal. How much cereal does the box come
kondaur [170]

Answer:

36 oz

Step-by-step explanation:

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8 0
3 years ago
Approximately 7.5 x <img src="https://tex.z-dn.net/?f=10%5E%7B5%7D" id="TexFormula1" title="10^{5}" alt="10^{5}" align="absmiddl
MaRussiya [10]

Answer:

The number of gallons of water that flow over the waterfall in 1 day is 6.45*10^{10} gallons

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The number gallons N of water that flow over the waterfall in 1 day is equal to number of gallons that flow in one second multiplied by the number of seconds in a day:

N =(7.5 *10^5gallons/sec)*(8.6*10^4sec/day)

N = (7.5*8.6)*10^5*10^4

N = 64.5*10^9 gallons

\boxed{N = 6.45*10^{10} gallons }

6 0
3 years ago
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