What is the sum of the geometric series 2^0 + 2^1 + 2^2 + 2^3 + 2^3 + 2^4 + … + 2^9?

Answers

Answer 1

Answer: the nth term is
an=a1(r)^(n-1)
an=1(2)^(n-1)
a1=1
r=2

the sum of a geometric seequence is
$S_(n)=(a_(1)(1-r^(n)))/(1-r)$
a1=1
r=2
we want to find $S_(10)$ (since we minus 1, the highest exponet is 9 so add 1 to make it correct)

$S_(10)=(1(1-2^(10)))/(1-2)$
$S_(10)=((1-1024)/(-1)$
$S_(10)=((-1023)/(-1)$
$S_(10)=1023$

Answer 2

Answer: Hello,

$1+2+2^2+2^3+...+2^9=(2^(10)-1)/(2-1)=1023$

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Estimate the value of the square root of 15.9÷3.8

Answers

Step-by-step explanation:

lets round up for even square roots.

16 and 4 have even square roots

the square root of 16 is 4 and the square root of 4 is 2

4÷2 is 2

i estimate that the square root of 15.9÷3.8 is about 2

Find the domain of this question

Answers

-8 - x ≠ 0
-x ≠ 8
x ≠ -8

So, domain:

D={x∈R / x ≠ 8}

$-8-x\not=0\n x\not=-8\n D:x\in\mathbb{R}\setminus\{-8\}$

Every two out of three kids sang at the talent show. What percent of the kids did not sing at the talent show? (round)

Answers

33.3% do notsing in the talent show.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Total number of kids = 3

Number of kids who sang = 2

The number of kids who do notsing.

= 3 - 2

= 1

The percentage of kids who do not sing.

= 1/3 x 100

= 33.33%

Thus,

33.3% do notsing in the talent show.

Learn more about percentages here:

brainly.com/question/11403063

#SPJ2

66.7 %
convert to decimal the multiply by 100

25 points? Suri's age is 4 less than 3 times her cousin's age. Suri is 17 years old. Which method can be used to find c, her cousin's age?

1. Subtract 4 from 17, then divide by 3.
2. Solve the equation 4c - 3 = 17.
3. Add 4 to 17, then multiply by 3.
4. Solve the equation 3c - 4 = 17.

1, 2, 3, or 4? Thanks :)

Answers

Answer:

solve the equation 3c-4=17

choice 4

Step-by-step explanation:

3c-4=17

3c=17+4

3c=21

3c÷3=21÷3

c=7

age of cousin =7

-4 (5x - 1)+ -11 (2x + 4)

Answers

Answer:

−42x−40

Step-by-step explanation:

Petra throws a ball up with an initial vertical velocity of 35 ft/s from a platform that is at ground level.How long will the ball be in the air?

Answers

The equation used to solve this problem is this:
H(t) = -16t^2 +vt + s
Where,
H(t) is the distance of the ball from the ground in feet,
t is the time in seconds,
v is the initial velocity of the ball as it is thrown up in feet/sec,
s is the distance of the ball from the ground when it was thrown in feet

Plugging in the given values,
0 = 16 t^2 + 35t + 0
This is a quadratic equation and the roots are:
0 and 2.19

ANSWER: 2.19 SECONDS

The equation used to solve this problem is this:

H(t) = -16t^2 +vt + s

Where,

H(t) is the distance of the ball from the ground in feet,

t is the time in seconds,

v is the initial velocity of the ball as it is thrown up in feet/sec,

s is the distance of the ball from the ground when it was thrown in feet

Plugging in the given values,

0 = 16 t^2 + 35t + 0

This is a quadratic equation and the roots are:

0 and 2.19

answer: 2.19 seconds

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