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pishuonlain [190]
1 year ago
10

Fill in the missing values to make the equations true.(a) log, 7 + log2 5 = log2음Х8(b) log, 8 - log, I = log,7(c) log, 4 = 2log,

I

Mathematics
1 answer:
Zielflug [23.3K]1 year ago
8 0

(a).

Simplify the expression to obtain the value at missing place.

\begin{gathered} \log _27+\log _25=\log _2(7\cdot5) \\ =\log _235 \end{gathered}

Blank space: 35

(B).

Simplify the expression to obtain the value of missing place.

\log _9(\frac{8}{7})=\log _98-\log _97

Blank space : 7

(C)

Simplify the expression to obtain the value at missing place.

\begin{gathered} \log _74=\log _7(2)^2 \\ =2\log _72 \end{gathered}

Blank space: 2

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Answer:

3 layers

Step-by-step explanation:

Given

L = 1cm --- side length of the cube

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Required

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First, we calculate the volume of each layer:

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Next, we calculate the volume of each layer:

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The number of layer is calculated by dividing the volume of the tower by the volume of each layer

Layers = \frac{24cm^3}{8cm^3}

Layers = 3

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What is the 25th term of the arithmetic sequence where a1 = 8 and a9 = 48?
Yuki888 [10]

Answer: a_{25} = 128

Step-by-step explanation:

You need to use this formula:

a_n = a_1 + (n - 1)d

Where a_n is the nth] term,  a_1 is the first term,"n" is the term position and  "d" is the common diference.

You must find the value of "d". Substitute a_1=8, a_9=48 and n=9 into the formula and solve for "d":

48 = 8 + (9 - 1)d\\48=8+8d\\48-8=8d\\40=8d\\d=5

Now, you can calculate the 25th term substituting into the formula these values:

a_1=8

d=5 and n=25

Then you get:

a_{25} = 8 + (25 - 1)5

a_{25} = 8 + 120

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Step-by-step explanation:

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Step-by-step explanation:

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