Which is more 35 inches or 3 feet

Answer: C

Sn= 7(1-0.7n)

Step-by-step explanation:

The rule that defines S for [tex]a_n = 3(0.7)^n[/tex] is:

[tex]S_n = 7(1 - 0.7^n)[/tex]

The rule of S means that we calculate the rule that defines the sum of n terms of the geometric progression.

Given that:

[tex]a_n = 3(0.7)^n[/tex]

Rewrite as:

[tex]a_n = 3 (0.7)^n \times 1[/tex]

Replace 1 with 0.7/0.7

[tex]a_n = 3 (0.7)^n \times \frac{0.7}{0.7}[/tex]

Rewrite as:

[tex]a_n = 3 *0.7 \times \frac{(0.7)^n}{0.7}[/tex]

Apply law of indices

[tex]a_n = 3 \times 0.7 \times (0.7)^{n-1}[/tex]

[tex]a_n = 2.1 \times (0.7)^{n-1}[/tex]

The n term of a geometric progression is:

[tex]a_n = ar^{n-1}[/tex]

Compare [tex]a_n = ar^{n-1}[/tex] to [tex]a_n = 2.1 \times (0.7)^{n-1}[/tex]

[tex]a = 2.1[/tex] --- the first term

[tex]r = 0.7[/tex]

The sum of n terms of a geometric progression is:

[tex]S_n = \frac{a(1 - r^n)}{1 -r}[/tex]

This gives:

[tex]S_n = \frac{2.1(1 - 0.7^n)}{1 -0.7}[/tex]

[tex]S_n = \frac{2.1(1 - 0.7^n)}{0.3}[/tex]

[tex]S_n = 7(1 - 0.7^n)[/tex]

Learn more about the sum of geometric progression at:

https://brainly.com/question/22068689

Answer:

Shen invested $9000.

Step-by-step explanation:

The simple interest formula is i = prt, where p is the principal amuont, r is the annual interest rate as a decimal fraction and t is the time in years.

Here, $2160 = P*0.06*(4 yrs), so:

         $2160

P = ----------------- = $9000

            0.24

Answer:

x have to be equal to 3

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratios of their corresponding sides are equal

Thus, we have it that;

AB/AC = DE/DF

9/3(x-1) = 6/x + 1

9(x + 1) = 6(3(x-1))

9x + 9 = 18x - 18

18x-9x = 9 + 18

9x = 27

x = 27/9

x = 3

Answer:

It is p = 1

Step-by-step explanation:

p⁰=1 because it is basically saying and when simplifying fractional exponents we can flip the bottom exponent up to the top if we change the sign, leaving us with : (p⁵-p⁵)=p⁰

Answer:

Step-by-step explanation:

Answer:

It is proportional

Step-by-step explanation:

May have brainllest I only need 39 more to get to genius

Answer:

Answer is 9/8

Step-by-step explanation:

18/8-9/8=9/8

Answer:

9/8

Step-by-step explanation:

9/4 - 9/8

9/4 x 2 = 18/8 to match denominators

18/8 - 9/8

= 9/8

Answer:

Estimated population of New Hampshire is

A. 35,000

Answer:

States sent representatives to Congress and provided soldiers and some officers to protect the country.

Answer:

4524.9

Step-by-step explanation:

Area of a parallelogram:

A = bh

A = 63 x 90

A = 5670

Area of half-circle:

A = (πr²)/2

A = (π x 27²)/2

A = (π x 729)/2

A = 729/2π

Combined:

5670 - 729/2π

4524.9

Answer:

A number plus 3, sum is 5.

Answer:

Naruto, the cylinder's volume is 3 times that of the cone.  

Step-by-step explanation:

Cone volume = (1/3)πr2h

Cylinder volume = πr2h

So, the cylinder's volume is 3 times that of the cone.  

Answer:

20

Answer:

20

Step by step:

v = l × w × h

v = 2 × 2× 5

v = 4 × 5

v = 20

Answer:

domain: {x|x∈R}

fog= (1-5x^2)^3= 1-15x^2+75x^4-125x^6

Answer:

it's a right angled triangle

Answer:

angle DFE

Step-by-step explanation:

Step-by-step explanation:

this is math right what grade is this

Given:

The two triangles are similar by SSS.

To find:

The value of x.

Solution:

If two triangles are similar to each other by SSS, then the corresponding sides of the triangles are proportional.

It is given that [tex]\Delta ABC\sim \Delta DE F[/tex]. So,

[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}[/tex]

[tex]\dfrac{9}{6}=\dfrac{12}{8}=\dfrac{3(x-1)}{x+1}[/tex]

[tex]\dfrac{3}{2}=\dfrac{3}{2}=\dfrac{3x-3}{x+1}[/tex]

[tex]\dfrac{3}{2}=\dfrac{3x-3}{x+1}[/tex]

On cross multiplication, we get

[tex]3(x+1)=2(3x-3)[/tex]

[tex]3x+3=6x-6[/tex]

[tex]3x-6x=-3-6[/tex]

[tex]-3x=-9[/tex]

Divide both sides by -3.

[tex]x=3[/tex]

Therefore, the value of x is 3.

Answer: -5

Step-by-step explanation: whichever number repeats the most is the mode. In this case, -5 repeats 2 times, while the other numbers dont repeat at all.

If we want to write to the mode of -5, -2, -5, -9, -7, 4 is -5

Answer:

Step-by-step explanation:

salut :

500 000 000= 5× 10^8

650 000= 6,5 ×10^4

58 400 000 000= 5.84 ×10^8

0,000 6= 6×10^-4

0,000 032= 3.2 ×10^-4

0,000 000 072 3= 7.23 × 10^-8

0,000 000 072 3=7,23×10^-7

Answer:

θ = 76°

Step-by-step explanation:

Using the cofunction identity

sinx° = cos(90 - x)°, then

sin14° = cos(90 - 14)° = cos76°

That is θ = 76°

Answer:

in radians o= 0.13716675

Step-by-step explanation:

cos(0)=0.9906074

O= arccos(0.9906074)

O=0.13716675

Answer:

Step-by-step explanation:

Rounded volume: 524 cubic inches.

Step-by-step solution:

The formula for the volume of a sphere is:

Where r is the radius of the sphere.

The radius is half the diameter, therefore it is r=10/2=5

We plug it into the formula and we get:

Then we get:

If we do it in our calculator we get 523.599 that rounded to the nearest whole is 524 cubic inches .

Answer:

Where is the question? You didn't post it.

Answer:

3.725

Step-by-step explanation:

because you add 2.125 (2 1/8) and 1.6 (1 3/5) to get 3.725

Answer:try doing the method

Step-by-step explanation:

A= Base Side

B= Base Side

C=Base Side

H=Height

HOPE THAT HELPS!