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artcher [175]
3 years ago
9

Write the expression as a single natural logarithm. 2 ln m + 9 ln n=in?

Mathematics
1 answer:
Akimi4 [234]3 years ago
7 0

Answer:

ln (m^2n^9)

Step-by-step explanation:

Rule: ln a + ln b = ln ab

Rule: ln a^n = n * ln a

2 ln m + 9 ln n =

= ln m^2 + ln n^9

= ln (m^2n^9)

= \ln m^2n^9

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I NEED HELP ASAP
DIA [1.3K]

Answer:

y = \frac{3}{2} x + 13

Step-by-step explanation:

1) Use point-slope formula y-y_1 = m (x-x_1) to find the slope-intercept form (or y = mx + b form) of the equation. m represents the slope, and x_1 and y_1 represent the x and y values of a point the line intersects. So, substitute \frac{3}{2} for m, -4 for x_1, and 7 for y_1. Then, simplify and isolate y on the left side like so:

y-(7) = \frac{3}{2} (x - (-4)) \\y -7 = \frac{3}{2} (x + 4) \\y - 7 = \frac{3}{2} x + 6\\y = \frac{3}{2} x + 13

3 0
2 years ago
How many quarters are in $375.75?​
DanielleElmas [232]

Answer:

1503 quarters

Step-by-step explanation:

There are 4 quarters in 1 dollar, so we multiply this number by 4.

375.75 * 4 = 1503

7 0
2 years ago
Read 2 more answers
If 1 cost 9p find the cost of 100
damaskus [11]
9p times 100 = 900p or £9
7 0
3 years ago
For the functions f(x)=4x−3 and g(x)=3x2+4x, find (f∘g)(x) and (g∘f)(x).
barxatty [35]

Answer:

(16x + 21) and (16x - 6)

Step-by-step explanation:

f(g(x)) = f(6 + 4x)

Applying the f(x) function on (6 + 4x) gives

4(6 + 4x) - 3

Which equals 16x + 24 - 3

= 16x + 21

g(f(x)) = g(4x - 3)

Applying the g(x) function on (4x - 3) gives

6 + 4(4x - 3)

Which equals 6 + 16x - 12

= 16x - 6

7 0
3 years ago
Find the area of this figure
barxatty [35]

Answer:

165

Step-by-step explanation:

Put the extra half rectangle in the empty space. It will end up being a perfect rectangle, then you did the area like you usually do..:

22 x 7.5.    

=165

Good luck, hope i helped

6 0
2 years ago
Read 2 more answers
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