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Finger [1]
3 years ago
10

Log(8)a/2. Expand the logarithmic expression.

Mathematics
1 answer:
maks197457 [2]3 years ago
5 0
Log(8a/2) = log8 + log a - log 2

The simple rules here are: If logarithms (as in this case) have same basis, factors inside logarithm can be written as sum of logarithms or difference between logarithms (first if factors are multiplying and second if factors are dividing)
You might be interested in
Timothy need 1/2 cup of bread crumbs for a casserole and 1/3 cup of bread crumbs for the topping. How many cups of bread crumbs
frez [133]

Answer:

Step-by-step explanation:

So first you would find a common denominator. The common denominator is 6. For 1/3 you multiply both numbers by 2. For 1/2 you multiply both numbers by 3. You would then have 3/6 and 2/6. You add them together which equals 5/6. Timothy need 5/6 cups of bread crumbs for his casserole.

4 0
4 years ago
find a model for simple harmonic motion if the position at t = 0 is 6, the amplitude is 6 centimeters, and the period is 4 secon
Y_Kistochka [10]

Answer:

y = 6cos(π/2)t

Step-by-step explanation:

Given in the question that,

in a simple harmonic motion in which

at t=0 the amplitude is 6 cm, so the simple harmonic motion will be in cosine form. As in case of sine function, the value of function at t=0 is 0.  

And,

the period is given as 4 sec

We know that model equation of simple harmonic motion is

<h3>y = a. cosb(t + c) + d</h3>

here,

a is amplitude

c is Horizontal shift or phase shift

d is Vertical shift

<h3>Step1</h3><h3>Find b</h3>

Period = 2 π / b

4 = 2π / b

b = 2π/4

b = 1π/2

<h3>Step2</h3><h3>Find shifts</h3>

Horizontal and vertical shifts are 0.

So, c = 0 and d = 0

<h3>Step3</h3><h3>Plug those values in the above in the equation</h3>

y = 6cos π/2 (t + 0) + 0

y = 6cos(π/2)t

4 0
4 years ago
I REALLY need answers, like if you see this PLEASE answer it
lana [24]
-4, -1, 1, 3, 3.9, 3.999,
3 0
3 years ago
1, 3, 6, 10, 15 is it arithmetic, geometric or neither
Gekata [30.6K]

The given sequence is neither arithmetic nor geometric.

Further explanation:

In order to check whether a sequence is geometric or arithmetic we have to find the common ratio and common difference respectively

Common difference is the deifference between cunsecutive terms of a sequence while common ratio is the ratio between two consecutive terms.

Common difference is denoted by d and common ratio is denoted by r

  • If the common difference is same then the given sequence is an arithmetic sequence
  • If the common ratio is same then the given sequence is a geometric sequence

Given

1, 3, 6, 10, 15

Common difference:

Here

a_1=1\\a_2=3\\a_3=6\\a_4=10\\a_5=15\\Common\ Difference=a_2-a_1=3-1=2\\a_3-a_2=6-3=3\\a_4-a_3=10-6=4

As the common difference is not same, the given sequence is not an arithmetic sequence

Common Ratio:

r=\frac{a_2}{a_1}=\frac{3}{1}=3\\\frac{a_3}{a_2}=\frac{6}{3}=2\\\frac{a_4}{a_3}=\frac{10}{6}=1.6

As the common ratio is also not same the sequence is not a geometric sequence.

The given sequence is neither arithmetic nor geometric.

Keywords: Arithmetic sequence, Geometric Sequence

Learn more about sequences at:

  • brainly.com/question/12597153
  • brainly.com/question/12685192

#LearnwithBrainly

7 0
4 years ago
Please help I’ll mark brainliest!!
Effectus [21]

Answer:

i think its 4

Step-by-step explanation:

3 0
3 years ago
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