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3 years ago

Write the expression as a single natural logarithm.3In3+3Inc

Mathematics

2 answers:

faltersainse [42]3 years ago

8 0

Answer:

$\ln 27c^3$

Step-by-step explanation:

$= 3\ln 3 + 3\ln c$

$= \ln 3^3 + \ln c^3$

$= \ln 3^3c^3$

$= \ln 27c^3$

k0ka [10]3 years ago

3 0

Answer:

$ln(27c^3)$

Step-by-step explanation:

Given: $3ln(3)+3ln(c)$

If there is a coefficient in front of a $log$ or $ln$ , that means it becomes an exponent.

$ln(3^3)+ln(c^3)$

Simplify the exponent.

$ln(27)+ln(c^3)$

When there is addition between two logarithms or natural logarithms, it means they multiply together.

$ln(27c^3)$

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A rectangular park, 90 meters by 60 meters, is to be built on a city block having an area of 9000 m^2. A uniform strip borders a

stealth61 [152]

Answer:

x = 10.52 m

Step-by-step explanation:

Given that,

Length of a park = 90 m

Width of a park = 60 m

Area, A = 9000 m²

A uniform strip borders all four sides of the park for parking. We need to find the width of the strip. Let it is x. Now the area becomes,

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$4x^2 +120x +180x =5400 = 9000\\\\x=10.52\ m$

So, the width of the strip is equal to 10.52 m.

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Step-by-step explanation:

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3 years ago

a contractor needs to purchase 500 bricks. the dimensions of each brick are 5.1 cm by 10.2 by 20.3 cm, and the density of each b

AveGali [126]

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3 years ago

find the area of each sector. Use the 3.14 as the value of pi. Round your answer to the nearest tenth. Part 4

Yuri [45]

Answer:

1) 378.1 in²

2) 8.4 m²

Step-by-step explanation:

Area of sector= $\frac{θ°}{360°} \times \pi {r}^{2}$

1) Area of sector

$= \frac{150°}{360°} \times 3.14 \times {17}^{2} \\ = 378.1 \: in^{2} \\ (nearest \: tenth)$

2) Area of sector

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3 years ago

Complete the general form equation of the parabola that passes through (4, -11) with vertex at : (2, -3).

fomenos

Answer:

Step-by-step explanation:

You're given a coordinate in the form of (x, y) and you're also given the vertex in the form of (h, k). We will use those in the vertex form of the equation

$y=a(x-h)^2+k$ and solve for a. Filling in: