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Anettt [7]
4 years ago
14

What is the solution of the equation e^xe^2x = 4? Round your answer to the nearest hundredth.

Mathematics
1 answer:
Stells [14]4 years ago
8 0
The equation is:

[e^x] [e^(2x)] = 4

1) Applying property of multiplication of powers wiith same base =>

e ^ (x + 2x) = 4

=> e ^ (3x) = 4

2) Applying logarigth properties

3x = ln(4)

=> x = ln(4) / 3 ≈ 1.38629 / 3 ≈ 0.4621

Answer: x = ln(4) / 3 ≈ 0.4621
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Find the area of the figure shown in the diagram to the nearest hundredth.
BlackZzzverrR [31]
Answer: Choice C) 41.13 square meters

---------------------------------------------------------------------------------------------

This figure is a composition of two quarter-circles and a square

Area of quarter circle = (1/4)*(area of circle)
Area of quarter circle = (1/4)*(pi*r^2)
Area of quarter circle = (1/4)*(pi*4^2)
Area of quarter circle = (1/4)*(pi*16)
Area of quarter circle = (1/4)*16*pi
Area of quarter circle = 4pi
There are two quarter circles, so the two circular areas add to 4pi+4pi = 8pi

Area of square = s*s = 4*4 = 16 square meters

Add the square area to the circular area: 8pi+16

Now use a calculator to find 8pi+16 = 41.1327412287183 which rounds to 41.13

8 0
3 years ago
What is the y-intercept of a line that has a slope of 1/4 and passes through point (8, 3)?
lara31 [8.8K]
Y=mx + b
m=slope=1/4
(8,3) => 3 = 1/4 * 8 + b => b=1

y=1/4 x + 1
5 0
3 years ago
Read 2 more answers
9.56 to the nearest hundreth
mariarad [96]
9.56 is the nearest hundredth.
9.6 is the nearest tenth.
6 0
3 years ago
Me ajudem<br> 1- a) 5 ( x – 1) = 30<br> b) 3 (x + 10 ) – 2 ( x – 5 ) = 0
denis23 [38]

Answer:

a)7, b)-40

Step-by-step explanation:

a) 5(x-1)=30

=>5x -5=30

=>5x=30+5

=>5x=35

=>x=35/5

so, x=7

b)3(x+10)-2(x-5)=0

=>3x+30-2x+10=0

=>x+40=0

so,x=-40

6 0
3 years ago
This got me all confused ^^'
Ulleksa [173]

Answer:

im confused as you are

Step-by-step explanation:

look so what it is saying its that theres 22 in total. 14 already have a sibling and 18 have a pet. 22-14 is 8 and 22-18 is 4. how are you supposed to find the rest of them who have both?

5 0
3 years ago
Read 2 more answers
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