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3 years ago

Give your answer to four decimal places

Mathematics

1 answer:

Maslowich3 years ago

4 0

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:

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Find the missing height

Eva8 [605]

Answer:

h = 39.8 inches

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2h

We know the diameter d = 32 so the radius is 1/2 of the diameter

r = d/2=32/2 = 16

32000 = pi (16)^2 h

32000 = 256 ( pi) h

Divide each side by 256 pi

32000 / 256 pi = h

125/pi = h

Using 3.14 for pi

39.8089172 = h

Rounding to the nearest tenth

h = 39.8 inches

8 0

3 years ago

A shipment of 40 fancy calculators contains 3 defective units. What is the probability if a college bookstore buys 20 calculator

JulsSmile [24]

Answer:

38.46%

Step-by-step explanation:

There are no names or marking that can make the calculator look different, so the order is not important. Then we should use a combination to solve this problem.

There are 40 calculators in one shipment, 37 of them good items and 3 of them are defect items. We need to choose 19 good calculators and 1 defect calculator. The number of ways to do that will be:

$\frac{37}{19}$ * $\frac{3}{1}$ = 37! $\frac{37!}{19!(37-19!)} * \frac{3!}{1!(3-1)!}$ = 53017895700

The number of possible ways to choose 20 calculators out of 40 calculators will be:

$\frac{40}{20}$ = $\frac{40!}{20!(40-20!)}$ =137846528820

The chance will be: 53017895700/ 137846528820 = 0.3846= 38.46%

4 0

3 years ago

Find the root(s) of the equation A) x= -4 B) x= -1,4 C) x=4 D) x= -4,4 Part B^

fiasKO [112]

What is the equation?

8 0

3 years ago

Is AABC-AXYZ? If so, identify the similarity postulate or theorem that

Nostrana [21]

Answer:

D would be the answer

Step-by-step explanation:

Mark as brainliest

8 0

3 years ago

Solve by the substitution method. 8x + 9y=56 -9x + y = 26

Nikolay [14]

Answer:

(-2,8)

Step-by-step explanation:

8x + 9y=56

-9x + y = 26

---------------------------------------------------------------------------------

-9x + y = 26

+9x = +9x

y = 9x + 26

---------------------------------------------------------------------------------

8x + 9(9x+26) = 56 <-- substitute for y from above

8x + 81x + 234 = 56

89x + 234 = 56

- 234 = - 234

89x = - 178

x = -2 <--- we got the x value!!

--------------------------------------------------------------------------------

-9x + y = 26

-9 (-2) + y = 26 <-- substitute for x from above

18 + y = 26

- 18 = - 18

y = 8 <-- we got the y value!!

6 0

3 years ago