Explain why 10 to the zero power equals 1

The geometric sequence can be represented explicitly or as recursions

The explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)

The sequence is given as:

2, 6, 18, 54, ....

Start by calculating the common ratio (r)

r = b2/b1

This gives

r = 6/2

Evaluate the quotient

r = 3

A geometric sequence is represented as:

b(n) = b1 * r^(n-1)

This gives

b(n) = 2 * 3^(n-1)

Hence, the explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)

Read more about geometric sequence at:

https://brainly.com/question/24643676

Answer:

12000

Step-by-step explanation:

Using this information, you can make a ratio: 12.2/50 = x/48744

By simplifying this ratio you get that 50x = 594676. Dividing both sides by 50 you get about 11900, which you can round up to 12000

Answer:

11,894 women

Step-by-step explanation:

ratio of women to employees = 12.2 : 50

Let x = number of women employees to 48744 employees

12.2 : 50 = x : 48744

⇒ 12.2 / 50 = x / 48744

⇒ 0.244 = x / 48744

⇒ x = 0.244 · 48744

⇒ x = 11893.536

⇒ x = 11894 (nearest whole number)

Therefore, there are approximately 11,894 women in a company with a total of 48,744 employees

Answer:

15:11 ,where 15 = 435

So, 11 = 435×11//15 = 29×11 = 319

Hence, No. of girls = 319

Answer:

319 girls

Step-by-step explanation:

Given

Solving

Answer:

16,688 people lived in that town in 2016.

Step-by-step explanation:

10,811 + 7.5% = 11,621.8 = 11,622 (2011)

11,622 + 7.5% = 12,493.6 = 12,494 (2012)

12,494 + 7.5% = 13,431.05 = 13,432 (2013)

13,432 + 7.5% = 14,439.4 = 14,440 (2014)

14,440 + 7.5% = 15,523 (2015)

15,523 + 7.5% = 16,687.225 = 16,688 (2016)

Option c is the best option that can be recommended since it has the least total cost for a year.

An upfront cost is an initial sum of money owed in a purchase or business venture.

Option a:

Monthly cost = $618

Up-front cost = $24000

Total cost for a year= 618*12+24000 = $31416

Option b:

Monthly cost = $950

Up-front cost = $1900

Total cost for a year= 950*12+1900= $13300

Option c:

Monthly cost = $600

Up-front cost = $1200

Total cost for a year= 600*12+1200= $8400

Therefore, option c is the best option that can be recommended since it has the least total cost for a year.

To get more about upfront costs visit:

https://brainly.com/question/1803016

Answer:

1st question is A and C only, 2nd question is A only

Step-by-step explanation:

Got it right on edge. Have a great day :)

Answer:

-2 to the third power is -8

-2 to the second power is -4

Step-by-step explanation:

-2 to the 3 power = -2× -2×-2

-2 to the second power is -2×-2

Answer:

Price/Cost

Step-by-step explanation:

They may reduce the cost due to the lack of people buying that product, or vice versa.

If [tex]P(x) = x^2-4x+4[/tex]  and x =2

   --> [tex]P(2) = 2^2-4(2)+4=4-8+4=0[/tex]

Hope that helps!

Answer:

11

Step-by-step explanation:

the area of a triangle is bc/2

b = 8.8

c = ?

area = 48.4

48.4 = 8.8c/2

96.8 = 8.8c

c = 11

Please mark as brainliest!

11

Step-by-step explanation:

[tex] \frac{1}{2} \times 8.8 \times c = 48.4[/tex][tex] \frac{8.8 \times c}{2} = 48.4 \\ 8.8 \times c = 48.4 \times 2 \\ 8.8 \times c = 96.8 \\ c = \frac{96.8}{88} \\ c = 11[/tex]mark me brainiest please

Answer:

17

Step-by-step explanation:

replace x with 5

3*5+2

next you use pemdas

you multiply before you add

3*5=15

15+2=17

Answer:

rational

Step-by-step explanation:

Hope this helps!

If not I am sorry

let's keep in mind that that same/same = 1 always, so then we can say

[tex]\cfrac{spaghetti}{spaghetti}~~ = ~~\cfrac{hippopotamus}{hippopotamus}~~ = ~~\cfrac{meatballs}{meatballs}~~ = ~~\cfrac{dog}{dog}~~ = ~~\cfrac{0.\overline{55}}{0.\overline{55}}~~ = ~~\textit{\huge 1}[/tex]

well, "1" is a whole number

"1" is also an integer oddly enough

"1" can be written as a ration like 1/1, so is also rational.

Answer:

side length = 4

Step-by-step explanation:

Let x = the side length

Area is x•x, which is x^2.

Perimeter is x+x+x+x, which is 4x.

x^2 = 4x

x^2 - 4x = 0

Factor.

x(x-4) = 0

x = 0 or x = 4

Discard 0 as an answer as it is not useful.

x = 4.

Area = 4^2 = 16

Perimeter = 4(4)= 16

The side length is 4.

Using proportions, it is found that the birth rate fell to 13.5 births for every 1000 people.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, for 306,370,370 people, there were 4,136,000 births. How many births were there for 1,000 people? The rule of three is given by:

306,370,370 people - 4,136,000 births

1,000 people - x births

Applying cross multiplication:

306370370x = 1000 x 4136000

x = 1000 x 4136000/306370370

x = 13.5

The birth rate fell to 13.5 births for every 1000 people.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

As Per Given Information

we have been asked to determine the consine ratio of ∠K .

[tex] \bf \: cos \: k = \cfrac{Base}{Hypotenuse} [/tex]

with respect to ∠K .

substitute the given value & let's solve it for k .

[tex] \longrightarrow\sf \: cos \: k \: = \cfrac{30}{50} \\ \\ \\ \longrightarrow\sf \: cos \: k \: = \cfrac{ 3\cancel0}{5 \cancel0} \\ \\ \\ \longrightarrow\sf \: cos \: k \: = \cfrac{3}{5} [/tex]

Therefore,

Your answer is (c) 3/5

Answer:

8 1/2

Step-by-step explanation:

14 inch - 5 1/2 inches = 8 1/2 inches

Aba's dog grew 8 1/2 inches.

Answer:

8.5 Inches, 2.78 pounds approximately

Step-by-step explanation:

14- n = 5.5. In this case you will have to subtract 5.5 from 14. 14 - 5.5 = 8.5. You get 2.5 pounds because, 1.10 x 2 = 2.20. 2.75 - 2.20= .55. $1.10 is 70 cents. 55/70 = 11/14= is around .78. 2+.78 = 2.78

Answer:

-5

Step-by-step explanation:

-5 is less than -4, and -4 is greater than -5.

Negative numbers become smaller to the left on the number scale.

There are infinite possible answers to this. :)

Answer:

-5

Step-by-step explanation:

-5 is less than -4 and -4 is bigger than -5

The length of the colony is the product of 5. 3 × 10^3 and the length of the bacteria

The total length of the colony is 143.1 mm

The given parameters are:

Bacteria = 2.7 × 10^–2 mm.

Colony = 5. 3 × 10^3 of the bacteria

So, the length (L) of the colony is:

[tex]L = 5.3 * 10^3 * 2.7 * 10^{-2[/tex]

Rewrite as:

[tex]L = 5.3 * 2.7* 10^3 * 10^{-2[/tex]

Evaluate the products

[tex]L = 14.31* 10[/tex]

Evaluate the product

[tex]L = 143.1[/tex]

Hence, the total length of the colony is 143.1 mm

Read more about lengths at:

https://brainly.com/question/24487155

Answer:

2

Step-by-step explanation:

Basically you plug in -6 where all the x's are.

(-6)² + 7(-6) + 8, Multiply -6 * -6 (AKA (-6)²)

36 + 7(-6) + 8, Multiply 7 by -6

36 - 42 + 8, Add 36 + 8

44 - 42, Subtract

2

Answer:

12 inches

Step-by-step explanation:

1 foot=12inches

48/12=4

Each of those pieces are 1 foot meaning each string is 12 inches.

Answer:

They have more resources and yeah they just do

Step-by-step explanation:

I have no clue why im just guessing

The relationship between e, f and g is an illustration of ratio

The ratio e : g is 2 : 7

The given parameters are:

e : f = 3 : 7

f : g = 2 : 3

Multiply e : f by 2.

So, we have:

e : f = 6 : 14

Multiply f : g by 7.

So, we have:

f : g = 14 : 21

Merge both ratios

e : f : f : g = 6 : 14 : 14 : 21

Remove repetition

e : f : g = 6 : 14 : 21

Remove f

e : g = 6 : 21

Divide by 3

e : g = 2 : 7

Hence, the ratio e : g is 2 : 7

Read more about ratios at:

https://brainly.com/question/2784798

Answer:

b no. is the correct answer

The sound will travel fastest at an elevation of 500m,

Elevation      Temperature

500m              11.8°C (MAXIMUM)

1000m               8.5°C

1500m               5.3°C

2000m               2.0°C

Molecules at higher temperatures have more energy and they can vibrate faster and allow sound waves to travel more quickly because the more is the medium, the more quickly sound waves propagate.

So, when the temperature is maximum i.e. 11.8°C, the sound will travel fastest. The elevation corresponding to 11.8°C is 500m.

So, Sound will travel fastest at 500m elevation.

Therefore, At an elevation of 500m, the sound will travel fastest.

To get more about sound waves visit:

brainly.com/question/1199084

Answer:

500 meters

Step-by-step explanation:

Answer:

A. Line
<------------->

B. Angle
⦟

C. Line Segment
.___________.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

[tex]\pi (\frac{diameter}{2} )^{2}[/tex]

Step-by-step explanation:

The formula is pretty similar to the standard equation, π·r², since the diameter is just the radius times two.

Hope that helps! :)

Answer:

N = 9

Step-by-step explanation:

N^2 = 81

NxN = 81

N = 9 because 81/9 = 9 and if you don't trust me use a calculator

Answer:

I think it's the fourth one.