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zimovet [89]
3 years ago
6

Solve the equation –4 In(6x) = 2. O A. 0.101 B. 0.275 C 3.639 D. 67.238

Mathematics
2 answers:
Ugo [173]3 years ago
7 0

Answer:

A) 0.101

Step-by-step explanation:

  • ln(6x) = -1/2
  • 6x = e^(^-^1^/^2^)
  • 6x = 1/\sqrt{e}
  • x = 1/(6\times \sqrt{e})

Using the calculator x = 0.101

EastWind [94]3 years ago
6 0

Isolate the variable using algebraic manipulation.

-4 ln(6x)=2

ln(6x)=-\frac{1}{2}

6x=e^{-\frac{1}{2}}

x=\frac{e^-\frac{1}{2}}{6}

x=0.101

Hope this helps.

頑張って!

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ASAP please help . Enter the slope of the line in the box
dlinn [17]
To find slope use the equation (y2 - y1) / (x2 - x1)

5 - 4 / 2--2

1/-4

The slope is -1/4
 
Hope this helps :)
4 0
2 years ago
Three consecutive even numbers have a sum where one half of the sum is between 84 and 96
mamaluj [8]

86 *2 = 172

172/3 = 57.33

54 + 56 +58 =168

168/2 =84


56 + 58 +60 = 174

174/2 =87

58 +60 +62 = 180

180/2 = 90

60 +62 +64 = 186

186/2 = 93


62 +64+66 = 192

192/2 = 96


 there are 3 sets of numbers that fall between 84 & 96

 1 set equals 84 and 1 set equals 96

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6 0
2 years ago
What is the solution to this system of equations<br>(5z +y=2<br>( 47 +y=5​
prisoha [69]

Answer:

Z = 8.8 Y = - 42

Step-by-step explanation:

Y = 2 - 5Z

Y = 5 - 47

2 - 5Z = 5 - 47

- 5Z = - 44

5Z = 44

Z = 8.8

Y = 2 - 5 (8.8)

Y = 2 - 44

Y = - 41

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5 0
3 years ago
Two angles are complementary angles if the sum of their measure is 90 degrees. Angle A and angle B are complementary angles, and
Marta_Voda [28]
Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

We will be using simultaneous equations to solve this problem.

First we will establish the equations which we will be using as displayed below:

Equation No. 1 -

A + B = 90°

Equation No. 1 -

A = 2B + 12

To begin with, let's make ( A ) the subject in the first equation as displayed below:

Equation No. 1 -

A + B = 90

A = 90 - B

Next we will substitute the value of ( A ) from the first equation into the second equation and solve for ( B ) as displayed below:

Equation No. 2 -

A = 2B + 12

( 90 - B ) = 2B + 12

- B - 2B = 12 - 90

- 3B = - 78

B = - 78 / - 3

B = 26°

Then we will substitute the value of ( B ) from the second equation into the first equation to solve for ( A ) as displayed below:

A = 90 - B

A = 90 - ( 26 )

A = 64°

ANSWER:

Therefore, the answer is:

A = 64°

B = 26°

Please mark as brainliest if you found this helpful! :)
Thank you <3
4 0
2 years ago
Please help me with number 9! (Math)
Andrej [43]
Hi

I belive you add the top side (4) plus the bottom side (9.5) witch would equal 13.5 times the hieght (3) equals 40.5 divided by 2 equals 20.25. the area is 20.25ft squared

another way to do it
4+9.5= 13.5
13.5×3= 40.5
40.5÷2= 20.25ft
8 0
3 years ago
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