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vampirchik [111]
3 years ago
9

Solve and round answer to nearest hundredth please.

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
5 0

Answer:

Step-by-step explanation:

Solve this by using natural logs.  Taking the natural log of both sides:

ln(7*16^{8x-8})=ln(3)

To undo the multiplication, we use addition:

ln(7)+ln(16)^{8x-8}=ln(3)

The rule says we can now bring the exponent down in front of the ln:

ln(7)+(8x-8)ln(16)=ln(3)

Now we will subtract ln(7) from both sides:

(8x - 8)ln(16) = ln(3) - ln(7)

Now we will divide both sides by ln(16):

8x-8=\frac{ln(3)-ln(7)}{ln(16)} then add 8 to both sides:

8x=\frac{ln(3)-ln(7)}{ln(16)}+8 which simplifies to

8x = 7.694401895 so

x = .9618002368 or, rounded,

x = .96

(Rest assured I did the math and checked the answer and it checked out perfectly!)  I recommend you learn the laws of natural and common logs cuz they're kinda important!! :)

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4 0
2 years ago
YASSSSSSSSSSSSSSSSSSSSSSS
Lunna [17]

Answer:

Nobody cares, this is a forum that has to do with questions for questions regarding school, not unintelligent stuff like this

Step-by-step explanation:

7 0
3 years ago
Prove ABC~EDC ?
erastova [34]

Answer:

AA similarity theorem

Step-by-step explanation:

we know that

<u>AA (Angle-Angle) Similarity</u> states that  In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar

In this problem we have that

∠BCA=∠ECD ----> by vertical angles

∠BAC=∠DEC ---> because AB is parallel to ED (alternate interior angles)

therefore

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8 0
3 years ago
antwan is looking to get an apartment that cost $650 per month. How much does he need to make per year
vitfil [10]

Answer:

the answer is 7800

Step-by-step explanation:to get the answer you need to multiply 650 times how many months there are in a year which are 12 so 650 times 12 equals 7800 I hope this helped you.

                                                                             

5 0
2 years ago
What is the volume of the cube if the side length is 40cm​
swat32

Answer:

The formula to find the volume of a cube : s^3 so

S=40 cm

Now

by the formula,

40^3

64000

7 0
2 years ago
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