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amid [387]
3 years ago
7

What is the solution to log (10x-1)= logs(9x+ 7)?

Mathematics
1 answer:
Xelga [282]3 years ago
5 0

Answer:

x=8

Step-by-step explanation:

\log _{10}\left(10x-1\right)=\log _{10}\left(9x+7\right)\\\mathrm{Apply\:log\:rule:\:\:If}\:\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right)\:\mathrm{then}\:f\left(x\right)=g\left(x\right)\\10x-1=9x+7\\\mathrm{Add\:}1\mathrm{\:to\:both\:sides}\\10x-1+1=9x+7+1\\\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\10x-9x=9x+8-9x\\\mathrm{Simplify}\\x=8\\

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* Show steps
Mila [183]

Step-by-step explanation:

18 seconds to hour

18÷3600= 0.005 hour

accelerstion= velocity÷ time

60 mph÷ 0.005 = 12,000m/h^2

3 0
3 years ago
The manager of the customer service division of a major consumer electronics company is interested in determining whether the cu
PolarNik [594]

The best sampling strategy would be a stratified sample.

<h3>How are samples classified?</h3>

Samples may be classified as:

  • Convenient: Drawn from a conveniently available pool.
  • Random: All the options into a hat and drawn some of them.
  • Systematic: Every kth element is taken.
  • Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
  • Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.

For this problem, the 4 different brands of the recorders must be considered, hence the buyers should be divided into groups, and a proportion of each group should be sampled, hence a stratified sample should be used.

More can be learned about sampling at brainly.com/question/25122507

#SPJ1

3 0
2 years ago
Why do you divide by 60 after calculating the area of the trapezoid (to calculate the distance)? I got 900 but I don’t know why
Free_Kalibri [48]

Answer:

Step-by-step explanation:

What you are trying to do is a nice way to solve this problem. Without knowing any physics, you are using what math you know to get the answer. You are actually very close to being correct, and you are right. You do have to divide by 60.

Here's why and it is the one bit of physics you have to know.

The speed is km/hour. That word hour is the culprit. Your time is in minutes and you have to get it into hours. In physics, the units have to be consistent.

So ...

b1 = 19 minutes which is 19 min [1 hour / 60 minutes] = 19/60 = 0.31667 hour

b2 = 26 minutes which is 26 min [ 1 hour/60 minutes] =  26/60 = 0.4333 hour

h = 40 km/hour

Area = (0.31667 hour + 0.4333 hour)*40 km/hour /2

Area = 0.75 hour * 40 km/hr //2

Area = 15 km

6 0
3 years ago
what is the average speed of a train that covers 80 km in 1 hour, 200 km in 2 hours and 420 kn in 4 hours
omeli [17]

Answer:

95

Step-by-step explanation:

80+(200 divided by 2)+(420 divided by 4)=285

285 divided by 3=95

6 0
3 years ago
The number e is an irrational number approximately equal to 2.718 between which pair of square roots does e fall
Shkiper50 [21]

Answer:

It falls between √7 and √8

Step-by-step explanation:

Please kindly check the attached file for explanation.

3 0
3 years ago
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