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AfilCa [17]
3 years ago
14

Use log4(2) = 0.5 to approximate the value of log4(32)

Mathematics
1 answer:
shepuryov [24]3 years ago
4 0

log4(32) = 2.5

Step-by-step explanation:

Given that,

log4(2) = 0.5

To find: log4(32)

32 can be written as 2 power 5

log4(32) = log4(2^5)

= 5 log4(2)

In the logarithms if there is a power it is multiplied and only the log is applied to the base of the powered term.

Hence,

log4(32) = 5log4(2)

We know that log4(2) = 0.5

So,

log4(32) = 5(0.5)

log4(32) = 2.5

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The table shows the number of gallons of water, 9.
KIM [24]

Answer:

G = 0.75s

Step-by-step explanation:

First find the unit rate: How many gallons of water can be pumped in 1 second. This means you just have to divide by however many seconds it is being pumped. I'm using 12 and 9. 9/12 = 0.75. This means that in 1 second 0.75 or 3/4 of a gallon will be pumped. Therefore:

G = 0.75s

4 0
3 years ago
What is missing from the frequency chart below
saw5 [17]

Answer:

a

Step-by-step explanation:

A. The tallies are missing

(I think this can be the answer )

4 0
2 years ago
Find the surface area of the square pyramid below if the length of the sides of the base are 10 cm, and the slant height is 15 c
Damm [24]

The surface area of the square pyramid if the length of the sides of the base are 10 cm, and the slant height is 15 cm is 416.2 cm²

<h3>Surface area</h3>

Surface area of the square pyramid

= a² + 2a√a²/4 + h²

where,

  • a = sides of base = 10 cm
  • h = slant height = 15 cm

Surface area of the square pyramid

= a² + 2a√a²/4 + h²

= 10² + 2(10)√10²/4 + 15²

= 100 + 20√100/4 + 225

= 100 + 20√25 + 225

= 100 + 20√250

= 100 + 20(15.81)

= 100 + 316.2

= 416.2 cm²

Learn more about surface area:

brainly.com/question/16519513

#SPJ1

4 0
2 years ago
If the solution to an inequality is t≤7.4 , which of the numbers below would be part of the solution?
boyakko [2]

Answer:

4.7, 5.1 and 7.4

Step-by-step explanation:

Given

t \le 7.4

Required

Select numbers part of the solution

O  4.7    O 5.1      O 7.4      O 8.2     O 9.6​

t \le 7.4 implies that, the value of t cannot exceed 7.4.

So, we have:

4.7, 5.1 and 7.4 in this range

<em>However, 8,2 and 9,6 do not belong to this range</em>

4 0
3 years ago
The diamter of a circle with a radius of 6
Juli2301 [7.4K]

Answer:

12

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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