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
Vilka [71]
3 years ago
5

Given log3 2=0.631 log3 7=1.771 what is log3 14?

Mathematics
2 answers:
Leni [432]3 years ago
5 0
In logarithm, inverse operations are applied.
log_3{14} =  log_3{7} +   log_3{14} \\ log_3{14} = 0.631 + 1.771 \\log_3{14} = 2.402
-BARSIC- [3]3 years ago
3 0

Answer:

2.402

Step-by-step explanation:

Given log_3 2=0.631

log_3 7=1.771

we need to find out log_3(14)

we know 14 = 7 * 2

log_3(14)=log_3(7*2)

Apply log property

log mn= log m + log n

log_3(7*2)=log_3(7) + log_3(2)

Plug in the given vales for log

log_3(7*2)=1.771 + 0.631)

= 2.402

You might be interested in
The distribution of the number of transactions performed at a bank each day is approximately normal with mean 478 transactions a
jolli1 [7]

Answer:

e. 0.977

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 478, \sigma = 64

Which of the following is closest to the proportion of daily transactions greater than 350?

This is 1 subtracted by the pvalue of Z when X = 350. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{350 - 478}{64}

Z = -2

Z = -2 has a pvalue of 0.023

1 - 0.023 = 0.977

So the correct answer is:

e. 0.977

6 0
3 years ago
Help me find the measures
Ronch [10]
Angle B=118 degrees
angle D=118 degrees
angles C=62 degrees
angle A=62 degrees
angle G=118 degrees
angle K=62 degrees
angle P=62 degrees
angle L=62 degrees
angle N=118 degrees
angle M=118 degrees
angle W=62 degrees
angle I=118 degrees
angle F=62 degrees
angle J=62 degrees
angle E=49 degrees
angle H=118 degrees
angle R=53 degrees
angle U=71 degrees
angle T=109 degrees
angle V=109 degrees
angle S=35.5
angle Q=35.5
7 0
4 years ago
If the probability of rain is 31%. What is the probability of it not raining?
-Dominant- [34]

Answer:

69%

Step-by-step explanation:

Since we only have two options, rain or not rain, they have to add to 100%

100 -31 = 69

So not raining is 69%

5 0
3 years ago
Read 2 more answers
Jasmine can run 4 5/6 miles in 2/3 of an hour. how many miles can she run 1 hour simplify comepletly
Vikentia [17]

Remark

the question depends on d= r * t

d = the distance in miles.

r = the rate of travel in miles per hour

t = the time in hours.


Step One

Rearrange the formula so you are solving for the rate.


d = r * t Divide by t

4 5/6 = (4*6 + 5)/6 = 29/6


r = d / t


Step Two

Substitute into the equation.

r = \dfrac{\dfrac{29}{6}}{\dfrac{2}{3} }


Step Three

Turn the bottom fraction upside down. Multiply these two together.


r = \dfrac{29}{6} * \dfrac{3}{2}


r = 29/4 miles hour.


Step Four

Solve for d when t = 1 hour.


d = ??

r = 29/4 miles / hour

t = 1 hour.


d = 29/4 * 1

d = 29/4 miles


That's as simple as you can get it unless you want 7 1/4 miles or 7.25 miles


7 0
3 years ago
Find the exact value of x
Olin [163]

Answer:

7.07

Step-by-step explanation:

5sin90=xsin45

5/sin45=7.07

5 0
3 years ago
Other questions:
  • Picture attachment...
    12·1 answer
  • Write each fraction in its simplest form 18/4 and 24/32
    15·2 answers
  • Estimate the standard deviation using the range rule of thumb of a data set with a minimum value of 176 and a maximum value of 2
    13·2 answers
  • Is -6 a real, complex, pure imaginary or nonreal complex
    8·2 answers
  • What is 0 times 1/4 ?
    9·2 answers
  • The diameter of a circle is 8 ft. Find its area in terms of pi
    6·2 answers
  • Samantha bought a calculator.she gave the cashier$50 and received$2 in change. How many did the calculator cost?
    14·2 answers
  • Refer to the table above. Which event is independent of gender?
    5·1 answer
  • Which of the following numbers are composite 47 or 12 or 16 or 43 which number is it
    8·1 answer
  • Please help tysm if you decide to help c:
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!