1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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
What is the slope of the function?
d1i1m1o1n [39]

Answer: -6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Simplify the algebraic expression (4b5 - 7) + (12b5 - 1)
ioda

Answer:16b square root of 5 -8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was $43.25dollar sign, 43, point,
mars1129 [50]

Answer:

The equation that represents the money he spent by the time he was on the trampoline is "total amount = 7 + 1.25*x" and on that day he spent 29 minutes on the trampoline.

Step-by-step explanation:

The question is incomplete, but we can assume that the problems wants us to determine an equation for the time in minutes that Raymond spent on the Super Bounce.

In order to write this equation we will attribute a variable to the amount of time Raymond spent on the trampoline, this will be called "x". There were two kinds of fees to ride the trampoline, the first one was a fixed fee of $7 while the second one was a variable fee of $ 1.25 per minnute spent playing. So we have:

total amount = 7 + 1.25*x

Since he spent a total of $43.25 on that day we have:

1.25*x + 7 = 43.25

1.25*x = 43.25 - 7

1.25*x = 36.25

x = 36.25/1.25 = 29 minutes

The equation that represents the money he spent by the time he was on the trampoline is "total amount = 7 + 1.25*x" and on that day he spent 29 minutes on the trampoline.

6 0
3 years ago
Pythagorean theorem (picture provided)
const2013 [10]

Answer:

12

Step-by-step explanation:

To solve for a side using pythag:

\sqrt{37^2-35^2}

6 0
2 years ago
Read 2 more answers
Sonia used $12.50 to buy a new journal. She has $34.25 left in her savings account. How much money did Sonia have before she bou
natali 33 [55]
  1. X-12.50=34.25
  1. Add 12.50 to both sides
  2. X=46.75
3 0
3 years ago
Read 2 more answers
Other questions:
  • 12.5% commission on every car sold salesperson sold a car for $17,500 what is the commission earned from the sale round answer t
    12·1 answer
  • How many complex roots does the polynomial equation have?<br><br> 3x5−2x+1=0
    8·2 answers
  • 1 13 over 15 divided by 1 2 over 5
    15·1 answer
  • 1.2357 is a whole number or interger number?
    7·1 answer
  • Percent proportion definition
    12·2 answers
  • Q.16 please<br> With steps
    6·1 answer
  • Do the ratios 4:18 and 2:9 form a proportion?<br> yes<br> no
    8·1 answer
  • Write the equation in slope-intercept form in each line based on the information give
    11·1 answer
  • Convert each rational number into its decimal form. 1. 1/3 2. 1/6 3. 1/9
    6·1 answer
  • I need it done du the end of the day <br><br>Please please
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!