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kaheart [24]
3 years ago
12

What is the solution of the equation 14^x=5? Round your answer to the nearest ten-thousandth.

Mathematics
2 answers:
deff fn [24]3 years ago
4 0
Take ln to both sides
ln 14^x = ln 5
then you'll get
x ln 14 = ln 5
divide both sides by ln 14
x = 0.6098533345
after rounding
x = 0.6099
Helen [10]3 years ago
4 0

Answer:

x = 0.6099

Step-by-step explanation:

To solve the question, take the logarithm of both sides to base 10. then apply the law of logarithms that states that

log aˣ = x log a

As such, 14^x=5

log 14^x= log 5

x log 14 = log 5

x = log 5 / log 14

x = 0.60985

To the nearest nearest ten-thousandth, it becomes

x = 0.6099

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The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people.
OLga [1]

Answer:

The z-distribution should be used for this problem.

Step-by-step explanation:

The population distribution is assumed to be normal. Which distribution to use?

If we have the standard deviation for the sample, we use the t-distribution.

If we use the standard deviation for the population, we use the z-distribution.

There is a known standard deviation of 2.2 minutes.

This means that 2.2 is the population standard deviation, and thus, the z-distribution should be used for this problem.

4 0
3 years ago
Each Saturday the gym holds 45 minute yoga classes. The weekday yoga classes last 30 minutes. The number of weekday classes vari
yanalaym [24]

For this case we have that the total minutes spent in yoga classes last week was 165.

Subtracting the 45 minutes of the Saturday day we have:

165-45 = 120

Those 120 minutes were distributed in the weekly yoga classes

where each lasted 30 minutes.

\frac {120} {30} = 4

So, 4 week yoga classes were held

ANswer:

4 week yoga classes were held

6 0
3 years ago
How to do 30(c) ??????
adelina 88 [10]

Answer:

A kite with a 100 foot-long string is caught in a tree. When the full length of the string is stretched in a straight line to the ground, it touches the ground a distance of 30 feet from the bottom of the tree. Find the measure of the angle between the kite string and the ground.

17°

27°

63°

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Step-by-step explanation:

3 0
3 years ago
Solve the formula D=a+b−c for b in general.
kari74 [83]

Answer:

b = c - a - D

Step-by-step explanation:

D=a+b−c \\ b = c  - a - D

3 0
3 years ago
The Census Bureau estimates that in 2020, 15 of the 50 states will have a Spanish-speaking majority. What percent of the states
Vinvika [58]
The answer is:  [C]:  "30%" .
_____________________________________________________
Explanation:
_____________________________________________________
Note that: "%" ; or "percent" means "out of 100" ; or "divided by 100" .
______________________________________________________
Method 1) 

15/50 = ?/ 100 ;

Look at the denominators:

50 * (what value?) = 100 ? ;  → "100 ÷ 50 = 2" ;

→ 50 * 2 = 100 ;

So:  "15/50 = (15*2)/(50*2) = "30/100" ; which is "30%" .
___________________________________________
Method 2:
___________________________________________
 "15/50" = (15÷5) / (50÷5) = 3/10 ; 

3/10 = (3*10) / (10*10) = 30/100 ; which is:  "30%" .
__________________________________________
Method 3:  (slight variation of "Method 2" above):
___________________________________________
 "15/50" = (15÷5) / (50÷5) = 3/10 ; 

3/10 = 0.3 = 0.30 = (0.30 * 100) % =  " 30% " .
___________________________________________ 
4 0
4 years ago
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