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4 years ago

Write the expression as a sum and/or a difference of logarithms, with all variables to the first degree.

Mathematics

1 answer:

andreyandreev [35.5K]4 years ago

7 0

Answer:

ln 2 + 2 ln x + 8 ln y

Step-by-step explanation:

Use of properties

log ab = log a + log b
log a^b = b log a

Given expression

In 2x^2y^8

Simplifying

In 2x^2y^8 =
ln 2 + ln x^2 + ln y^8 =
ln 2 + 2 ln x + 8 ln y

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Solve the triangle: b=200, c=250, A=75 degrees.

ValentinkaMS [17]

Answer:

see below

Step-by-step explanation:

You can use the law of sines to choose the correct answer:

b/c = sin(B)/sin(C) ≈ 0.8

For the first answer choice,

sin(44.3)/sin(60.7) ≈ 0.8009 . . . . . . as close as you expect to get

____

The second answer choice has the wrong ratio of sines.

The third answer choice has B > C, which it cannot be since b < c.

_____

The law of cosines can be used to find "a":

a^2 = b^2 + c^2 -2bc·cos(A) = 102500-100000cos(75°) ≈ 76,618

a ≈ √76618 ≈ 276.8 . . . . . . matches the first answer choice

6 0

3 years ago

Write -3 2/5 as a rational number

natali 33 [55]

Answer: Your answer is: -17/5

Step-by-step explanation: You just have to convert the mixed number into an improper fraction.

5 0

3 years ago

Read 2 more answers

Which of these is a pair of adjacent angles?

devlian [24]

Answer:

Answer A

as taught to us till now

4 0

3 years ago

Please answer quick! I will give brainliest! The figure below shows the front side of a purse in the shape of a trapezoid. Find

docker41 [41]

Answer:

the area is 110. the formula for a trapezoid is A= a+b/2 × h.

A= a+b/2 ×h= A= 9+13/2×10=110

Use this and explain yourself

7 0

3 years ago

The area of a rectangular parking lot is represented by A = 6x^2 − 19x − 7 If x represents 15 m, what are the length and width o

Mekhanik [1.2K]

Answer:

The length and width of the parking lot are $\frac{46}{3}$ meters and $\frac{23}{2}$ meters, respectively.

Step-by-step explanation:

The surface formula ( $A$ ) for the rectangular parking lot is represented by:

$A = w\cdot l$

Where:

$w$ - Width of the rectangle, measured in meters.

$l$ - Length of the rectangle, measured in meters.

Since, surface formula is a second-order polynomial, in which each binomial is associated with width and length. If $A = 6\cdot x^{2}-19\cdot x -7$ , the factorized form is:

$A = \left(x-\frac{7}{2}\,m \right)\cdot \left(x+\frac{1}{3}\,m \right)$

Now, let consider that $w = \left(x-\frac{7}{2}\,m \right)$ and $l = \left(x+\frac{1}{3}\,m \right)$ , if $x = 15\,m$ , the length and width of the parking lot are, respectively:

$w =\left(15\,m-\frac{7}{2}\,m \right)$

$w = \frac{23}{2}\,m$

$l =\left(15\,m+\frac{1}{3}\,m \right)$

$l = \frac{46}{3}\,m$

The length and width of the parking lot are $\frac{46}{3}$ meters and $\frac{23}{2}$ meters, respectively.

5 0

3 years ago