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3 years ago

Solve this equation for x. Round your answer to the nearest hundredth. 3 = In(x + 9)

Mathematics

1 answer:

Mrac [35]3 years ago

7 0

Answer:

x ≈ 11.09

Step-by-step explanation:

Using the rule of logarithms

$log_{b}$ x = n ⇒ x = $b^{n}$

Given

ln(x + 9) = 3 , that is

$log_{e}$ (x + 9) = 3 , then

x + 9 = e³ ( subtract 9 from both sides )

x = e³ - 9 ≈ 11.09 ( to the nearest hundredth )

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Simplify the following expression.<br><br> (38x+61y) - (3x- 11y)

zmey [24]

Answer:

35x+72y

Step-by-step explanation:

$(38x+61y)-(3x-11y)\\38x+61y-3x+11y\\35x+72y\\$

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2 years ago

Read 2 more answers

What is the surface area?

mash [69]

$\large\bf{\underline{Answer:}}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{ = 3000 \:ft^2}$

__________________________________________

$\large\bf{\underline{Given:}}$

A 3 dimensional figure with 5 sides
it has 3 rectangles with dimensions 28 ft and 25 ft
And 2 triangles with base =30 ft and height = 20 ft

$\large\bf{\underline{To\: find:}}$

Total surface area of figure

$\large\bf{\underline{Therefore:}}$

$\bf{area \:of\: figure}$

‎ㅤ ${\bf = area \:of \:3\: rectangles + 2 \: triangles}$

$\large\bf{\underline{Formulas:}}$

$\boxed{\bf\pink{area\:of\: triangle= \frac{1}{2}\times base\times height}}$

$\boxed{\bf\pink{area\:of\: rectangle=length\times breadth}}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{= 3\times (28 \times 25 )+ 2(\frac{1}{2} \times 30 \times 20)}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{= 3 \times 800 + 2 \times 300}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{=2400+ 600}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{= 3000}$

__________________________________________

$\large\bf{\underline{Hence,}}$

❒ Area of given figure

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\huge\mathfrak{= 3000\: ft^2}$

5 0

2 years ago

Please answer this correctly

GREYUIT [131]

0 Minutes 18 Seconds

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2 years ago

Marcia, Jan, and Sydney are sisters Jan is twice as old as Sydney. Marcia is two years older than Jan. Altogether the ages are u

Mrrafil [7]

Answer:

Step-by-step explanation:

m + j + s = 37

j = 2s......s = j/2 or 1/2j

m = j + 2

(j + 2) + j + (1/2j) = 37

2j + 1/2j = 37 - 2

2j + 1/2j = 35....multiply everything by 2 to get rid of the fraction

4j + j = 70

5j = 70

j = 70/5

j = 14 < ==== Jan is 14

m = j + 2

m = 14 + 2

m = 16 <==== marcia is 16

s = 1/2j

s = 1/2(14)

s = 14/2

s = 7 <==== sydney is 7

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3 years ago

Select each pair of equivalent number

Crank

Answer:

B and D

Step-by-step explanation:

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3 years ago