Find the sum of the first 6 terms of the following series, to the nearest integer.
16, 32, 64,...

Answers

Answer 1

Answer:

1008

Step-by-step explanation:

geometric sequence:

a=16

r=32/16=2

Sum of GS:

s=a(1-r^n)/(1-r)

S(6)=16(1-2^6)/(1-2)

=1008


Related Questions

Renting a bicycle costs $10 for the first hour and $5 for each additional hour.
Let x represent the number of additional hours. If you have $20 to spend, which of the
equations below could be used to find how many hours you can rent a bicycle?

Answers

the answer is c=5h!!!!!

Write the decimal as a percent (3.86)

Answers

Answer:

386%

Explanation: I moved the decimal point by two places to the right in order to give me its percentage.

Help me plsssssssssssssssssssssssssssssssssssss

Answers

The answer is B. 63m^2

Answer:

72

Step-by-step explanation:

multiple height by base 10.5×6=63

than 3×3=9

63+9=72

Help me please if u can <3

Answers

Answer:

Not sure about the first one, but the second one in inches and the third one is liters

Answer:

what are the options so can help?

Find A if 30% of A equals 30% of 30 plus 30​

Answers

30+30= 60 if A is 30 percent of 60 A=0.3 x 60

Slope intercept form

Answers

Given:

The equation of the parallel line is

[tex]y=-\dfrac{5}{2}x+7[/tex]

The required line passes through the point (-4,1).

To find:

The equation of line in slope slope intercept form.

Solution:

The slope intercept form of a linear function is

[tex]y=mx+b[/tex]

Where m is slope and b is y-intercept.

On comparing the equation [tex]y=-\dfrac{5}{2}x+7[/tex] with slope intercept form, we get

[tex]m=-\dfrac{5}{2}[/tex]

We know that the slopes of parallel lines are always same. So, the slope of the required line is [tex]m=-\dfrac{5}{2}[/tex].

The line passes through the point (-4,1) with slope [tex]m=-\dfrac{5}{2}[/tex]. So, the equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(1)=-\dfrac{5}{2}(x-(-4))[/tex]

[tex]y-1=-\dfrac{5}{2}(x+4)[/tex]

[tex]y-1=-\dfrac{5}{2}x-10[/tex]

Adding 1 on both sides, we get

[tex]y=-\dfrac{5}{2}x-10+1[/tex]

[tex]y=-\dfrac{5}{2}x-9[/tex]

Therefore, the correct option is C.

5x + 13 + (2y-7)i = -2 + i please please help

Answers

hope this helps !!!!

What is the 5th term in the sequence 64, 16, 4 ?

Answers

Answer: 1

Step-by-step explanation:

Answer:

1/4 because

1st term 64 : 64/4 = 16

2nd term 16 : 16/4 = 4

3rd term 4 : 4/4 = 1

4th term 1 : 1/4 = 1/4

5th term 1/4

divide 3/25 and 9/25

Answers

Answer:

1/3

Step-by-step explanation:

A bowling alley charges each $3 to rent shoes and $7 per game

Answers

Answer:

10

Step-by-step explanation:

just add the to together.

Answer:

Step-by-step explanation:10

Help me pls i need to answer fast

Answers

Answer:

your answer will be 1

Step-by-step explanation:

Mr Thompson please answer. This is hw that is for mathematics Algebra.

Answers

Answer:

question 6:

[tex]x^{2}[/tex] + 9x + 14 and (x + 2) (x + 7)

question 7:

[tex]x^{2}[/tex] - 7x + 10 and (x - 2)(x - 5)

question 8:

[tex]x^{2}[/tex] - 9x + 20 and (x - 4)(x - 5)

question 9:

(x + 1) (x - 17)

[tex]x^{2}[/tex] - 17x + 1x - 17

[tex]x^{2}[/tex] - 16x - 17

question 10:

(x - 1) (x + 17)

[tex]x^{2}[/tex] + 17x - 1x - 17

[tex]x^{2}[/tex] + 16x - 17

The next model of a sports car will cost 12.2% less than the current model. The current model costs $34,000 . How much will the price decrease in dollars? What will be the price of the next model?

Answers

Answer:

Price decrease in dollars = $4,148Price of next model = $29,852

Step-by-step explanation:

The next car will be 12.2% cheaper. This amount in dollars is:

= Percentage decrease * Current model price

= 12.2% * 34,000

= $4,148

The price of the next model will therefore be:

= 34,000 - 4,148

= $29,852

plese help with both of these

Answers

Answer:

Step-by-step explanation:

Explicit formula of a G.P. is given by,

[tex]a_n=a(r)^{n-1}[/tex]

Here, [tex]a_n[/tex] = nth term

a = First term

n = number of term

r = common ratio

Given sequence is 3, 6, 12, .......

a = 3

r = [tex]\frac{6}{3}[/tex] = 2

Therefore, explicit formula will be,

[tex]a_n=3(2)^{n-1}[/tex]

Option (3) is the answer.

Parent function → f(x) = 3ˣ

Transformed function → g(x) = [tex]3^{x+5}[/tex]

Since, g(x) = f(x + 5)

Therefore, function 'f' has been shifted 5 units left.

Option (1) is the answer.

kareena uses 1 1/4 yards of frabic to make one tote 2 1/2 of frabic to make tote and 3 3/4 yards of rabbit to make three totes she continues to use the same amount of frabic for each tote how many yards of fabric will she need to make four totes​

Answers

1 = 1 1/4
2 = 2 1/2
3 = 3 3/4

Multiply 1 1/4 x the number of totes, and you’ll have your total.

4 x 1 1/4 = 4 4/4 = 5 yards

Find the value of x using the corresponding angles theorem.

Answers

Answer:

x= 69

Step-by-step explanation:

2x-3= 135

2x = 135+ 3

x = 138 / 2 = 69

I hope im right!!

math please help ! <<

Answers

Answer:

d = - 6

a = - 20

T(n) = a + (n - 1)d

= -20 + (n - 1 )(-6)

= -20 - 6n + 6

= -14 - 6n

= -2(7 + 3n)

-20 -6(n-1) answer

Find the equation of the line given the two points below

A(−3,−2) B(6,−8)

Answers

Answer:

y = -2/3x - 4

Step-by-step explanation:

Formula: y = mx + b

m (slope)

b (y-intercept)

Slope Formula: y2 - y1 ÷ x2 - x1

Substitute: -8-(-2) = -8+2 = -6

6-(-3) = 6+3 = 9

-6/9 (funny, I know)

Simplify --> -2/3

slope = -2/3

Substitute for the y-intercept --> to do this, we plug in a coordinate pair

-8 = -2/3(6) + b

-8 = -4 + b => add 4 to both sides

b = -4, and thus, our y-intercept is -4

Plug our values into the formula: y = mx + b

y = -2/3x + (-4)

simplify to get our final equation

y = -2/3x - 4

Which is the best description of the shape of the distribution of the number of pets? Use the drop-down menu to complete the statement The shape of the distribution of the number of pets is​

Answers

Answer:

skewed right

Step-by-step explanation:

find the area of the trapezoid. if the answer is not an integer, leave it in simplest radical form. the figure is not to scale. PLEASE HELP

Answers

I'm sorry this question is not clear and I am not really able to answer it.

SHOW YOUR WORK WILL MARK BRAINLIEST IF YOU GET IT RIGHT solve by completing the square X²+6x-22=0​

Answers

9514 1404 393

Answer:

  x = -3±√31 ≈ {-8.568, +2.568}

Step-by-step explanation:

The usual steps are to ...

  group the x-terms

     (x² +6x) -22 = 0

  add and subtract the square of half the x-coefficient

     (x² +6x +(6/2)²) -22 -(6/2)² = 0

  simplify to a binomial square

     (x +3)² -31 = 0

Solve for x.

  (x +3)² = 31

  x +3 = ±√31

  x = -3 ±√31 . . . . . solution to the quadratic

The population in the United States in 2015 was 321 million people. It is projected to increase to 438 million people by the year of 2050. If protections are true, the US population will increase _____ % from 2015 to 2050.​

Answers

Answer:

5

Step-by-step explanation:

Answer:

2.3

Step-by-step explanation:

which expression is equivalent to the expression shown below -6(0.5 x -2)​

Answers

-3x+12
Here is you answer

[8x(7 divided by 7)] ^2

Answers

Answer:

Step-by-step explanation:

[8 * (7÷7)]² = [8 * 1]²

                 = 8²

                 = 64

The operation in the inside parenthesis should be done first.

Think of a matrix A and B which are both 3X3 matrices. Do not use all zeros or all
1’s!
3. Multiply A X B and record the result.
4. Multiply B X A and record the result

Answers

Answer:

9

Step-by-step explanation:

3x3 =9 hope this helps bbs

The volume of a rectangular prism is 360 cm^3. If the length of the prism is 12 cm and the width is 5 cm, what is the surface area of the prism?

Answers

Answer:

C) 324 cm^3

Step-by-step explanation:

So you know the volume and 2 side lengths. 360 divided by 12 divided by 5 to find the third side. The third side is 360 / 60 (answer of 12x5), which is 6. Surface area of prism is 324 (c)

The Nike store is having a SALE!!! A toddler suit with an original cost of $54 is marked down to $22.95. How much is the discount?What is the percentage discount?

Answers

Answer:

The Discount Percent is 57.50% and the Discount Amount is $31.05

Step-by-step explanation:

To find the discount percent you use the formula D = (L - S) / L x 100. To find the discount amount you take the inital list price and subtract it from the sale price.

An equilateral triangle with side length 9 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.

Answers

The answer is 35.1 cm².

Hope this helps; have a great day!

✓ = 2x²-4
Is it linear or nonlinear

Answers

nonlinear because it is squared it is a quadratic

Leon created a scale drawing of the school library in his art class. In the scale drawing, the length of the library is 13 inches. The length of the actual library is 78 feet.

Which scale did Leon use to create the scale drawing of the school library?

a 1 inch represents 6 feet
b 1 inch represents 16 foot
c 6 inches represents 1 foot
d 6 inches represents 16 foot

Answers

Answer:

It should be A

Step-by-step explanation:

Hope this helps (:

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