The formula for any geometric sequence is an = a1 · rn - 1 , where an represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the geometric sequence 4, 8, 16, 32, ...?

A. an = 4 · (1/2) n - 1
B. an = 2 · 4 n - 1
C. an = 32 · 2 n - 1
D. an = 4 · 2 n - 1

Answer:

D

Step-by-step explanation:

Pythagorean Theorem: a^2+b^2=c^2

6^2+10^2=c^2

36+100=136(radical symbol)

Answer is D

Hope this helps :)

Answer: hope this helps ♡

D) √136 ft.

Step-by-step explanation:

c = hypotenuse

a & b = the two other sides

a² + b² = c²

6² + 10² = c²

36 + 100 = c²

136 = c²

(11.6 = c)

Answer:

Step-by-step explanation:

Julie's income for 16 hours is $192. Julie takes only 24 hours to earn $288. The rate is $12 for each hour.

Given

Loren and Julie have different part-time jobs after school.

They are both paid at a constant rate of dollars per hour.

The income of Julie is $36 in 3 hours.

For 1 hour, Julie earns $12.

Thus the rate of Julie is $12 per hour.

For the 16 hours, Julie's income will be.

Julie's income for 16 hours = 12 x 16

Julie's income for 16 hours = $192

Julie's income for 16 hours is $192.

Julie takes time to earn $228 will be

Thus, Julie takes only 24 hours to earn $288.

Answer:

The sale price of the flannel shirt is $63.

Answer:

38.88

Step-by-step explanation:

You first calculate the area of the entire skillet which is:

8 × 8 = 64

Then subtract the 64 by the area of both veggies burgers:

64 - 25.12 = 38.88

Answer:

To use mental math and the inverse property of addition to find the sum [5.5+(-2.3)] +(-5.5 + 2.3), you can use the following steps:

Rewrite the expression as [5.5+(-2.3)] +(-5.5) + 2.3.

Use the inverse property of addition to rewrite (-5.5) as 5.5, so the expression becomes [5.5+(-2.3)] +(5.5) + 2.3.

Use the inverse property of addition again to rewrite (-2.3) as 2.3, so the expression becomes [5.5+2.3] +(5.5) + 2.3.

Use the associative property of addition to rearrange the terms in the expression, so it becomes 5.5 + 2.3 + 5.5 + 2.3.

Use mental math to add the terms, which gives you a result of 15.8.

Therefore, the sum of [5.5+(-2.3)] +(-5.5 + 2.3) is 15.8.

Step-by-step explanation:

Answer:By the formula for the area of a rectangle. Because length = 2 times width. Simplify. So w = -4 or w = +4. Obviously, having a negative width is nonsensical

Step-by-step explanation:

Answer:

Step-by-step explanation:

Your friend just returned to the United States from their trip to Nepal and wants to exchange their 8,153 Nepalese rupees for U.S. dollars. How many dollars will they receive if the current exchange rate is 1 U.S. dollar to 124 Nepalese rupees?

our friend will get $ 65.75 in exchange for 8153 Nepali Rupees.

Currency Exchange rate:

The price of the native currency relative to another currency is referred to as the foreign exchange rate. Comparing different currencies to demonstrate their relative values is the goal of international exchange.

The rate at which one currency is exchanged for another or the price of one currency expressed in terms of another currency is two additional definitions of the foreign exchange rate.                  

Here given that

Your friend is just returned from Nepal to the United States

And wants to exchange 8,153 Nepalese rupees for U.S. dollars

The current exchange rate is 1 U.S dollar = 124 Nepalese Rupee

Let us assume that your friend will get x dollars in exchange

As give that 1 dollar = 124 Nepalese Rupees

Then x dollars = x × 124 Nepalese Rupees

The first number 49 or larger that is divisible by 3 is 51 (17 * 3 = 51) so begin at 51 and count by 3's until you get to 95:51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93The first number 49 or larger that is divisible by 6 is 54 (6 * 9 - 54) so begin at 54 and count by 6's until you get to 95:54, 60, 66, 72, 78, 84, 90The first number 49 or larger that is divisible by 9 is 54 (9 * 6 - 54) so begin at 54 and count by 9's until you get to 95:54, 63, 72, 81, 90Now look for the numbers that are in all three lists

Answer: D

Step-by-step explanation:

Answer:

children: $4.34

adult: $ 17.02

(this is very wrong)

The equation of line shown in figure is,

⇒ y = x - 4

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (4, 0) and (0, -4).

Now,

Since, The equation of line passes through the points (4, 0) and (0, -4).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 4 - 0) / (0 - 4)

m = - 4 / -4

m = 1

Thus, The equation of line with slope 1 is,

⇒ y - 0 = 1 (x - 4)

⇒ y = x - 4

Therefore, The equation of line is,

⇒ y = x - 4

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

Answer:

Step-by-step explanation:

Wilson-70%, artholdi-90%, jonhson-70%, Garcia-60%, o'malley-90%

round each of them to the nearest whole percentage (nearest whole number).

Answer:

4(x-1)+9=17

Step-by-step explanation:

3(-2x+1) + 5 = 3x-4-5x

expand

-6x + 3 + 5 = 3x-4-5x

-6x + 8 = -2x - 4

add 2x to both sides to put all x values + coefficients on one side

-4x + 8 = -4

subtract 8 from both sides to isolate x and its coefficient

-4x = -12

divide both sides by -4 to isolate x

x = 3

plug x=3 into each option to see if it works

1. 5(3+3)-4 = 30-4 = 26 != 10

2. 2(3+1) = 8 != 4

3. 4(3-1)+9 = 17 = 17

4. 4(3)+7 = 19 != 3+8 = 11

Answer : 1+1=2

Step-by-step explanation

1inch snow in am plus 1in snow in pm equals a total of 2in snow for that day.

Answer:The mean goes up from approximately 80.4 to 82.

Step-by-step explanation:

Before adding 101°, the mean i2:

(58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57)/12 = 80.4

After adding the value 101°, the mean is:

(58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57 + 101)/13 = 82

The mean goes up from approximately 80.4 to 82.

Answer:

its in the link

Step-by-step explanation:

Answer: proportional

Step-by-step explanation:

if you divide 10 by 2 you get 5.

since 4 times 5 is 20 and 7 times 5 is 35

the table is proportional since there is a set rate of change

Answer:

1.  (3,3)

2. (6,3)

Step-by-step explanation:

1.  [tex]\frac{3}{4}[/tex] × (4,4)

step 1. divide by the denominator

4 ÷ 4 = 1

step 2. multiply by the numerator

1 × 3 = 3

2.  [tex]\frac{3}{4}[/tex] × (8,4)

step 1. divide by the denominator

8 ÷ 4 = 2

step 2. multiply by the numerator

2 × 3 = 6

Hope this helps! ( * ＾▽＾)／

Answer: 1/4, 16/3, 3

Answer: 2.8, hope it helps.

Answer:

B

Step-by-step explanation:

Answer:

(n-2)2 is in the formula (a-b)2 = a2- 2ab + b2

correct it by writing (n-2)2 = (n2 - 2(n)(2) + 2 raise 2)

Answer:

-2 * -2 = 4, but Maryam put -4 instead.

Answer:

I think its opposite

Answer: opposite

Step-by-step explanation:

Answer: The volume of box is 6×8×10 cm^3

All of 6,8 and 10 are divisible by 2 so your cubes will fill the box, the volume of the cube is 2×2×2=8 cm^3 divide the volume of the box by 8; number of cubes fitting in the box is 6×10=60

Step-by-step explanation:All of 6,8 and 10 are divisible by 2 so your cubes will fill the box, the volume of the cube is 2×2×2=8 cm^3 divide the volume of the box by 8; number of cubes fitting in the box is 6×10=60

Answer:

50 cubes

Step-by-step explanation:

The maximum number of 2cm cubes that can fit into a box measuring 10cm by 8cm by 5cm is 50 cubes.

You can find this by dividing the total volume of the box (10 x 8 x 5 = 400 cm^3) by the volume of a single cube (2 x 2 x 2 = 8 cm^3). So 400cm^3 / 8cm^3 = 50 cubes.

Hence, The maximum number of 2cm cubes that can fit into a box measuring 10cm by 8cm by 5cm is 50 cubes.