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yanalaym [24]
3 years ago
7

Express ln 32 - ln 8 as a single natural logarithm

Mathematics
2 answers:
ivanzaharov [21]3 years ago
8 0
\bf \textit{Logarithm of rationals}
\\\\
log_a\left(  \frac{x}{y}\right)\implies log_a(x)-log_a(y)\\\\
-------------------------------\\\\
ln(32)-ln(8)\implies ln\left( \frac{32}{8} \right)\implies ln(4)
podryga [215]3 years ago
8 0

Answer:

its ln 4, A

Step-by-step explanation:

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Joshua is planning on 1404 miles driving trip his car gets an average of 36 miles per gallon the cost of gas is about $3.72 per
anastassius [24]

Answer:

Hence, his driving cost of the trip= $ 145.

Step-by-step explanation:

It is  given that:

Joshua is planning on 1404 miles driving trip.

His car gets an average of 36 miles per gallon.

i.e. for 36 miles his car uses 1 gallon of gas.

Hence for 1 mile his car uses=1/36 gallon of gas.

Hence, for 1404 miles his car uses=1404/36 gallon of gas

                                                         = 39 gallons.

Cos of 1 gallon of gas= $ 3.72

Cost of 39 gallons of gas=$ (3.72×39)=$ 145.08

which is approximately equal to $ 145.

Hence approximately his driving cost of the trip is $145.

5 0
3 years ago
Felicity the clown inflates two balloons in five minutes. Grumpy a clown ties five balloon animals in 12 minutes. They both work
Ilia_Sergeevich [38]

Answer:

24 balloons

Step-by-step explanation:

1 hour= 60 min

60 min/ 5 min= 12 min

12 min* 2 balloons= 24 balloons per hour

<h2>What about Grumpy?</h2><h3>Don't pay attention to Grumpy, it was just to confuse you. We are talking about how fast <u>Felicity</u> can inflate balloons.</h3>
8 0
3 years ago
What is the equation of a line that contains the point (4, 0) and is parallel to x + y = 2?
gogolik [260]

Answer:

x + y = 4 or y = -x + 4

Step-by-step explanation:

0 = -1[4] + b

4 = b

y = -x + 4

If you want it in <em>Standard</em><em> </em><em>Form</em>:

y = -x + 4

+x +x

_________

x + y = 4 >> Line in Standard Form

* Since the <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>] is -1 and that parallel lines have SIMILAR SLOPES, -1 remains the same.

I am joyous to assist you anytime.

6 0
3 years ago
Write an equation for the line that is parallel to the given line and passes through the given point.
Tresset [83]

Answer:

ll

Step-by-step explanation:

ll

3 0
2 years ago
you have at most $20.25 to spend at a store. Shirts cost $11.50 each, and pants cost $16 each. Let s be numbers of shirts and p
Readme [11.4K]

is this an algebra class? if so it just

11.50x + 16y = 20.25

4 0
3 years ago
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