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Maurinko [17]
3 years ago
7

Evaluate log416 -2 1/2 2

Mathematics
1 answer:
krok68 [10]3 years ago
5 0

16 = 4²

So, by the definition of logarithms

\log_4{16}=2

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7.Suppose that water is entering a cylindrical water tank so that the initial height of the water is 3 cm and the
lukranit [14]

Answer:

H(t) = 3*2^{t/30}

Step-by-step explanation:

Height doubles at every 30 seconds, so let's call n how many times it happens, and the t the total time:

n = t/30

If the height doubles one time, it is multiplied by 2, if it doubles 2 times, it's multiplied by 2², for n times, it is multiplied by 2ⁿ, so for an initial height equal to 3:

H(t) = 3*2^{t/30}

4 0
3 years ago
How many days will it take for a sum of $4,000 to earn $80 interest if it is deposited in a bank paying ordinary simple interest
Maksim231197 [3]

Answer:

It will take 146 days to earn an interest of $80.

Step-by-step explanation:

The simple interest formula is:

I=\frac{P\times r\times t}{100}

It is provided that:

I = $80

P = $4,000

r = 5% p.a.

Compute the time required as follows:

I=\frac{P\times r\times t}{100}

t=\frac{I\times 100}{P\times r}

  =\frac{80\times 100}{4000\times 5}\\\\=0.4\ \years\\\\=0.4\times 365\ days\\\\=146\ days

Thus, it will take 146 days to earn an interest of $80.

4 0
2 years ago
find two numbers that equal 11,000 when added together, but also equal 3,000 when subtracted from each other
amm1812

Answer:

4000 and 7000

Step-by-step explanation:

8 0
3 years ago
Choose 2 hellllpppppp plzzzxxxxzz
diamong [38]

Answer:

Choices C and D

Step-by-step explanation:

The most simplest way is just to solve each one and see which two have the same answer as the first expression.

But you could also see that both of the \frac{4}{7} are going to cancel each other out so you are left with -\frac{8}{9} +\frac{9}{8}  which is also choice C.

For choice D I distributed the negative one to the insides of the parenthesis that left me with -\frac{4}{7}-\frac{8}{9}+\frac{4}{7} +\frac{9}{8}  which is the same expression as the first one.

5 0
2 years ago
A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq . By h
julia-pushkina [17]
Well to get the area of 288 the dimensions would be a couple of things but 16 ft by 18 ft seems to work, so the dimensions increase by 4 ft on each side.

12+4=16
14+4=18

18*16=288
6 0
3 years ago
Read 2 more answers
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