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djverab [1.8K]
3 years ago
13

What is the value of t=1 ∑³ (4 x 1/2^t-1)

Mathematics
1 answer:
Stels [109]3 years ago
4 0

Answer:

7

Step-by-step explanation:

\sum\limits_{t=1}^{3}(4\cdot(\frac{1}{2})^{t-1})

This is the sum of the first three terms of a geometric sequence, where the first term is 4 and the common ratio is ½.

We can use a formula to find the sum, or, since there's only three terms, we can find the value of each term then add up the results.

4 · (½)¹⁻¹ = 4

4 · (½)²⁻¹ = 2

4 · (½)³⁻¹ = 1

4 + 2 + 1 = 7

You might be interested in
na2s + hcl _____ nacl + h2s Which of these would represent the coefficients needed to balance this equation? A) 1, 1, 1, 1 B) 1,
USPshnik [31]

Answer:

B) 1, 2, 2, 1

Step-by-step explanation:

In given equation:

Left side:                                Right Side:

  2 Na                                          1 Na

  1 S                                              1 S

  1 H                                             2 H

  1 Cl                                             1 Cl

To equal the number of Na and H atoms on both sides, HCl and NaCl will have a coefficient of 2 to balance the equation while Na₂S and H₂S will have a coefficient of 1.

1 Na₂S + 2 HCl ⇒ 2 NaCl + 1 H₂S

5 0
3 years ago
Please help me with this one
JulijaS [17]
A) Table D does not represent a function as y can't have two different values for the same value of x.
B) Table A and C.
6 0
3 years ago
Which comparison is correct?<br><br> 7 -7<br> -9 &gt; 4<br> -6 &gt; -5
ArbitrLikvidat [17]

Answer:

7 > -7

Step-by-step explanation:

-9 is not greater than -4

-6 is not greater than -5

I am not sure what 7 -7 means in your first option but if it is consistent, then yes, 7 is greater than -7.

8 0
3 years ago
What is 0.82 as a fraction
shepuryov [24]
I am pretty sure it's 82/100.
4 0
3 years ago
Read 2 more answers
Find an equation in standard form of the parabola passing through these points: (0,-6),(-1,-12),(3,0)
Elan Coil [88]
One form of the equation of a parabola is
y = ax² + bx + c

The curve passes through (0,-6), (-1,-12) and (3,0). Therefore
c = - 6                       (1)
a - b + c = -12            (2)
9a + 3b + c = 0         (3)

Substitute (1) into (2) and into (3).
a - b -6 = -12
a - b = -6                  (4)
9a + 3b - 6 = 0
9a + 3b = 6              (5)

Substitute a = b - 6 from (4) into (5).
9(b - 6) + 3b = 6
12b - 54 = 6
12b = 60
b = 5
a = b - 6 = -1

The equation is
y = -x² + 5x - 6 

Let us use completing the square to write the equation in standard form for a parabola.
y = -[x² - 5x] - 6
   = -[ (x - 2.5)² - 2.5²] - 6
   = -(x - 2.5)² + 6.25 - 6

y = -(x - 2.5)² + 0.25
This is the standdard form of the equation for the parabola.
The vertex us at (2.5, 0.25).
The axis of symmetry is x = 2.5
Because the leading coefficient is -1 (negative), the curve opens downward.
The graph is shown below.

Answer: y = -(x - 2.5)² + 0.25

3 0
3 years ago
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