Answer:
The characteristic of a logarithm is the number to the left of the decimal.
(The characteristic is like an exponent).
We are working with base 3 logs.
So if we are increasing a number by multiplying it by the base of the logarithm, (in this case 3 times 3) then we increase the characteristic by two.
Since 2 is the exponent of 3^2 then to get the log 3 of 72, we get the log3 (8) and increase it by 2.
1.8928 +2 = 3.8928
Had we been working with base 10 logs and we were multiplying a number by 100, We would increase the characteristic by 2 because 100 = 10^2.
Step-by-step explanation:
4 Standard drinks he has consumed in over a two - hour time period.
<h3>What is Unitary Method?</h3>
The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
For example: 5 cars have price of $500. what will be the price of 10 cars.
Now, we know
5 cars → $500
1 car → $500/5
1 car → $100
10 cars → 8 x $100
10 cars → $800
The standard drink contains 12 - ounce of beer.
Here, we have given 1 red cup which has 16 - ounce of beer.
He has 3 red cups.
So, total ounce of beer he has consumed in two hour time period:
16 x 3 = 48 ounce of beer.
Now, as we know standard drink contains 12 - ounce of beer.
so, Number of standard drink = 48/12 = 4
Hence, 4 Standard drinks he has consumed in over a two - hour time period.
Learn more about " Unitary Method " from here: brainly.com/question/28276953
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Answer:
the price of child tickets are 4,250. how many adult tickets were sold is 91. how many child tickets were sold is 25. which adds up to 1,653,250. your welcome.
Step-by-step explanation:
1,547,000 + 106,250 = 1,653,250
17000 - 12,750(75%) =4,250
Product is multiplication.
Let the number = x
3 *( X+7) = -36
Use distributive property:
3x +21 = -36
Subtract 21 from each side:
3x = -57
Divide both sides by 3:
x = -57 /3
x = -19
Check: 3 * (-19 +7) = 3 * -12 = -36
The number is -19
t= 2.25 secs
Step-by-step explanation:
Step 1 :
Equation for motion with uniform acceleration is v = u+ at
where v is the final velocity
u is the initial velocity
a is the acceleration due to gravity
and t is the time
Step 2 :
Here , v = 0 because at the highest point final velocity is 0.
u = 72 feet/sec
a = -32 ft/sec^2
We need to find the time t.
Substituting in the equation we have,
0 = 72 -32 * t
=> 32 t = 72
=> t = 72/32 = 2.25 secs
