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3 years ago

Rewrite the expression as a single logarithm and simplify the result. ln lcosxl +lnltanxl

1 answer:

6 0

Recall your logarithms rules

$\bf ln|cos(x)|+ln|tan(x)|\\\\
-----------------------------\\\\
log_{{ a}}(xy)\implies log_{{ a}}(x)+log_{{ a}}(y)\qquad thus\\\\
-----------------------------\\\\
ln|cos(x)tan(x)|\implies ln\left| cos(x)\cdot \cfrac{sin(x)}{cos(x)} \right|\implies 
ln|sin(x)|$

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0.08 divided by0.5216

Naya [18.7K]

0.08 / 0.5216

Answer: 0.15337423312

8 0

3 years ago

Read 2 more answers

A vehicle factory manufactures cars. The unit cost (the cost in dollars to make each car) depends on the number of cars made. If

Nataly [62]

Answer:

The function is missing in the question. The function is $C(x) = 0.8x^2 -544x +97410$

The answer is 4930

Step-by-step explanation:

Unit cost of a car is given as

$C(x) = 0.8x^2 -544x +97410$

Cost will be minimum when

x = -(-544)/ 2 x 0.8

= 340

Therefore, minimum cost for unit car is

$C(x) = 0.8x^2 -544x +97410$

$= 0.8(340)^2 -544(340) +97410$

= 4930

4 0

3 years ago

How to set up inequalities

melamori03 [73]

X=any number

x is( greater than sign) (and then a line at the bottom of the greater or less than sign) x

it would be like this
x is greater than or equal to x
or
x is less than or equal to x

6 0

3 years ago

If P is the incenter of triangle JKL, find the measure of JKP.

ladessa [460]

Answer:

m∠JKP = 31.5°

Step-by-step explanation:

Incenter of a triangle is the point where all the bisectors of interior angles intersect each other.

JN is the angle bisector of ∠KJL.

Therefore, m∠KJN = m∠LJN

(7x - 6) = (5x + 4)

7x - 5x = 6 + 4

2x = 10

x = 5

m∠KJN = (7x - 6)

= 7(5) - 6

= 35 - 6

= 29°

In ΔKJN,

m∠JKN + m∠KNJ + m∠NJK = 180°

m∠JKN + 90° + 29° = 180°

m∠JKN = 180°- 119° = 61°

Since KO is the angle bisector of ∠JKN,

m∠JKP = $\frac{1}{2}(\angle JKN)$

= $\frac{1}{2}(61)$

= 30.5°

6 0

3 years ago

An element with mass 670 grams decays by 27.3% per minute. How much of the element is remaining after 9 minutes, to the nearest

ArbitrLikvidat [17]

There will be 38 grams remaining.

The equation would be of the form
y = a(1+r)ˣ, where a is the initial value, r is the rate as a decimal number, and x is the amount of time. Using our values from the problem, we have:

y = 670(1-0.273)^9 = 670(0.727)^9 = 38

6 0

3 years ago

Read 2 more answers