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pochemuha
3 years ago
12

Hey I’ve got the answer for the first question but I’m stuck on this one 5^-3 X 2^-1

Mathematics
1 answer:
Phantasy [73]3 years ago
8 0

Answer:

  • See below

Step-by-step explanation:

a)

  • 6ˣ = 1/216
  • 6ˣ = 1/6³
  • 6ˣ = 6⁻³
  • x = -3

b)

  • 5⁻³ × 2⁻¹ =
  • 1/5³ × 1/2 =
  • 1/(125×2) =
  • 1/250 or 0.004
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A function has a constant halving time. What type of function does this represent?
Anna71 [15]
<span>The function which has a constant halving time is in the following form
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A(t) = A_{0} ( \frac{1}{2} )^ \frac{t}{h}
Where:  A₀ is the <span>initial amount
              h   is the half life time or the halving time.
</span><span>              t    is the time
</span>              A(t) <span>the amount<span> that remains at time t
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The previous function represents an Exponential decay<span> function.
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so, The correct answer is option B. <span>Exponential decay</span>
8 0
3 years ago
Read 2 more answers
give an example of a convergent infinite series whose sum equal 3/5. explain how you know your series converges and write out wo
krek1111 [17]

Answer:

The series 1/5, 2/15, 4/45, 8/135... converges and sums up to 3/5

Step-by-step explanation:

Consider the infinite geometric series

1/5, 2/15, 4/45, 8/135...

With first term, a=1/5

common ratio, r = ⅔

The series converge because the common ratio, |r|<1.

The sum to infinity of a geometric series, S= a/(1-r)

S= 1/5 ÷ (1-⅔) = 1/5 ÷ 1/3 = 3/5

Therefore, the geometric series 1/5, 2/15, 4/45, 8/135... sums up to 3/5.

5 0
3 years ago
Identify the form of each equation. 7x + 5y = 8 is in (select) . y − 5 = 3 (x − 9) is in (select) . y = 7x + 9 is in (select) .
erik [133]

Answer:

Let's define all the possible forms:

slope-intercept: y = a*x + b

point-slope: y - y1 = a*(x - x1)   (where (x1, y1) is a point in the line)

standard form: a*x + b*y = c

then:

a) 7x + 5y = 8

This is in standard form.

b) y − 5 = 3*(x − 9)

This is in point slope form.

c) y = 7x + 9

This is in slope-intercept form.

d) 8x − 9y = −2

This is in standard form.

5 0
3 years ago
Write the equation of the line fully simplified slope-intercept form.​
ehidna [41]

Answer:

y = -1x + 2

Step-by-step explanation:

  • y=mx+b
  • going down to the right negative slope
  • rise over run so 1/1 makes the slope 1
  • negative 1 for the slope
  • b is the y-intercept and the line lands on the point (0,2)
5 0
3 years ago
Read 2 more answers
1: 2 2/3 - 3/5 <br> 2: 2 1/5 + 1 1/10<br> 3: 2 5/7 - 2/3<br> 4: 1/4 + w = 6 1/3
Yanka [14]

2 2/3 - 3/5 = 2 1/15

2 1/5 + 11/10 = 3 3/10

2 5/7 - 2/3 = 2 1/21

1/4 + w = 6 1/3

w = 6 1/12

Hope this helps :)

6 0
3 years ago
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