1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
melisa1 [442]
3 years ago
5

Solve the equation. Round to the nearest hundredth. Show work.

Mathematics
1 answer:
Burka [1]3 years ago
3 0

Answer:

x=-0.75

Step-by-step explanation:

The given equation is

4^{-5x-7}=6^{2x-1}

We take logarithm of both sides to base 10.

\log(4^{-5x-7})=\log(6^{2x-1})

(-5x-7)\log(4)=(2x-1)\log(6)

We expand the brackets to get;

-5x\log(4)-7\log(4)=2x\log(6)-\log(6)

Group similar terms;

-7\log(4)+\log(6)=2x\log(6)+5x\log(4)

-7\log(4)+\log(6)=(2\log(6)+5\log(4))x

\frac{-7\log(4)+\log(6)}{(2\log(6)+5\log(4))}=x

x=-0.752478

To the nearest hundredth.

x=-0.75

You might be interested in
100 POINTS!!!!!!!!!!!<br><br><br><br>The bottom one is &lt; 1 and &lt; 3
luda_lava [24]

Answer:

B. <1 and <5

Step-by-step explanation:

they look exactly the same

6 0
3 years ago
Read 2 more answers
1,15,29,43 formula sequence
irga5000 [103]
All you’re doing is adding 14 to each
1+14=15
15+14=29
29+14=42
can i get brainliest answer ?
6 0
3 years ago
Read 2 more answers
Helppppp meeeee. Plzzzzz it’s due in 5 minutes and is half my grade:(((((((((;(((((((
sergey [27]

Answer:

5 millimeters

Step-by-step explanation:

the conversion rate from cm to mm is 1 to 10 so 0.5 would equal to 5 mil

it would be amazing if you marked this brainliest :)

6 0
3 years ago
Select the scenario below that demonstrates sampling bias. Select the correct answer below:
Vsevolod [243]

Answer:

C. Elizabeth wants to estimate the mean vacation days of coworkers at her company. She collects data by selecting a random group of coworkers within her department.

Step-by-step explanation:

Sampling Bias is case, in which some section of population have higher or lower chance of being selected in sample than others.

'Elizabeth wants to estimate the mean vacation days of coworkers at her company. She collects data by selecting a random group of coworkers within her department'. This case is of Convenience Sampling, where person selects sample only as per his/ her convenience.

Elizabeth has conveniently chosen sample workers from her department, so they have higher chance of being in sample, others have lesser chance.  Hence, this is Sampling Bias

7 0
3 years ago
A CD usually sells for $14.00. If the CD is 10% off, and sales tax is 6%, what is the total price of the CD, including tax?
Vikki [24]
10% of 14 =1.4
14-1.4=12.6
6% of 14=0.84
12.6+0.84= 13.45
7 0
3 years ago
Other questions:
  • HELP ASAP WORTH 68 points<br> The product of which expression contains four decimal places?
    6·2 answers
  • Factor the expression completely over the complex numbers.<br><br> x4−625
    7·1 answer
  • Mrs. Stevens is wanting to buy new border for her math bulletin board in the hallway l. The length of the board is 6.8 meters. T
    6·1 answer
  • Solve the equation x^2 - 6x + 5 = 0 use the quadratic formula and factorization.
    10·1 answer
  • A car is traveling 150 feet per second. Convert this to miles per hour.
    8·1 answer
  • What is the y in the equation? 15-y-3y=17
    12·1 answer
  • In 1990 sausage cost an average of $2.42 per pound. In 1994 it cost 51.35 per pound. What was the percent of depreciation (perce
    6·1 answer
  • Helpoooooo please hhhb
    9·1 answer
  • What is the height of the flag pole?
    8·2 answers
  • HELP!!! ASAP!!!! TRIG!!!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!