Trying to finish khan academy. I need to simplify. How do I do it?

4374

Step-by-step explanation:

We are multiplying by 3 each time

2*3 = 6

6*3 =18

18*3 = 54

The formula is

an = 2 * 3^(n-1)  where n is the term number

a8 = 2 * 3^(8-1)

a8 = 2 * 3^7

a8 = 2*2187

a8 = 4374

Answer:

4374

Step-by-step explanation:

First term, a =2

Common ratio, r = 3

nth term = a.r^(n-1)

where , n is the number of terms

8th term = 2.(3)^(8–1)

=2(2187)

=4374

⇒ A geometric progression, sometimes termed a geometric sequence, is a series of integers in which each term after the first is determined by multiplying the preceding one by a fixed, non-zero value known as the common ratio.

Answer:

2ac + ad + 4ea + 6bc + 3bd + 12be (Simplified)

Answer:

Variables

Let m = number of movies rented

Let g = number of video games rented

Given:

System of equations

m + g = 5

2m + 3g = 13

Solution

Rewrite  m + g = 5  to make m the subject:

⇒ m = 5 - g

Substitute this equation into  2m + 3g = 13 and solve for g:

⇒ 2(5 - g) + 3g = 13

⇒ 10 - 2g + 3g = 13

⇒ 10 + g = 13

⇒ g = 3

Substitute found value of g into  m = 5 - g  and solve for m:

⇒ m = 5 - 3

⇒ m = 2

Therefore, 2 movies and 3 video games were rented.

According to the calculation, 301 people would be needed a room for the probability that two people shared a birthday to be higher than 50%.

To determine, if there were only 200 days in a year, how many people would need to be in a room before the probability that two people shared a birthday exceeded 50%, the following calculation must be performed:

Therefore, 301 people would be needed a room for the probability that two people shared a birthday to be higher than 50%.

Learn more about probability in https://brainly.com/question/27272615

Answer:

182

Step-by-step explanation:

We need to find 3/4 of 242.  To do this, multiply 3/4 by 242:

[tex]\sf \implies \dfrac34 \times 242=\dfrac34 \times \dfrac{242}{1}=\dfrac{3 \times 242}{4 \times 1}=\dfrac{726}{4}=181.5[/tex]

181.5 rounded is 182.

Therefore, approximately 182 students went on the field trip.

Answer:

3.A

4.D

Step-by-step explanation:

in 3, A is correct because it follows the rule in the picture attached. In question 4 D is not appropriate because log base 9 to the power 9 is equal to 1, but log base 9 to the power 4 + log base 9 to the power 5 is not 1

Answer:

Step-by-step explanation:

Pyramid height should be 14

Base area should be 14*14(196)

So, Base area is 196

1. Multiply the Base area by the height of the pyramid:

196*14=2744

2. Divide the number above by 3:

2744/3=914.7

Answer:

2. -12, -3, 0, 36, -24

3. 0, 8, 13, 15, 9

p-by-step explanation:

Answer:

V = (25 * 18 * 20)/3 = 9000/3 = 3000 cm^3

Step-by-step explanation:

The formula for this question is fairly simple.

V = (l * w * h)/ 3

You multiply length, width and height- then you divide your answer by 3. This should equal the volume of your pyramid! (cm^3 means "centimeters cubed".....since your question says "Do not enter units" then there is no need for you to enter cm^3...)

Answer:

please what is the dimension for the length and breadth

Answer:

Density is mass over volume so if the mass is being divided the value is smaller and volume is being multipliedd so value is larger but since volume is the denominator and is getting larger you are going to end up with a smaller number since smaller number gets/ larger number gets = smaller value gets

Step-by-step explanation:

Answer:

Step-by-step explanation:

Number 1 FALSE

9 * 9 * 3 = 81 * 3 = 243

Number 2 TRUE

7 + 7 + 7 = 3 + 3 + 3 + 3 + 3 + 3 + 3

7 * 3 = 3 * 7

21 = 21

Number 3 FALSE

17 * 17 * 17 = 4913

Number 4 FALSE

4 * 1 = 4

Number 5 FALSE

6 + 6 + 6 = 18

Answer:24cm is the perimeter

Answer:

24 cm :)

Step-by-step explanation:

Hexagon perimeter: l x 6

Now lets solve!!

4 x 6 = 24 :)

Have an amazing day!!

Please rate!!

Answer:

6.3 :)

Step-by-step explanation:

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

Now lets solve!!!

3^2 + b^2 = 7^2

9 + b^2 = 49

Now we subtract!!

49 - 9 = b^2

40 = b^2

Now we need to find the square root!!

[tex]\sqrt{40}[/tex] = 6.3

Have an amazing day!!

Please rate and mark brainliest!!!

Answer:

See below

Step-by-step explanation:

[tex]\cos M=\frac{adjacent}{hypotenuse}=\frac{56}{70}=\frac{4}{5}\\\\\sin L=\frac{opposite}{hypotenuse}=\frac{56}{70}=\frac{4}{5}[/tex]

Hence, both ratios are equal to each other

Answer: 115/hr & $75/hr

Step-by-step explanation: please see attached PDF document for detailed instructions including step by step.

from Chicago to Atlanta is 700 miles, so in plain-vanilla shipping costs for that will be $240 per every 100 lbs.

if we're shipping 2,000 lbs, hmmm that's 2000/100 = 20, so 100 lbs 20 times, so our plain-vanillla cost will be 20 * 240 = 4800 bucks.

Now, we're Da Bomb, and hell, why not, let's ship it on a 3-5 day, but that has a Premium of an extra 20%, hmmm that means our cost using 3-5 days service is 4800 + 20%.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 4800}}{\left( \cfrac{20}{100} \right)4800}\implies 960~\hfill \underset{final~cost}{\stackrel{4800~~ + ~~960}{5760}}[/tex]

Answer:

Step-by-step explanation:

Answer:

anything above 12

Step-by-step explanation:

would be greater than 12. 13, 14, 16...etc

Answer:

n > 12

Step-by-step explanation:

Represent the number by n.  Then "a number is greater than 12" expressed symbolically is n > 12.

Answer:

11 inches

Step-by-step explanation:

The perimeter of a rectangle is 2*(base) + 2*(height), or P = 2B + 2H

P = 2B + 2H

P = 2B + 2H

52 inches = 2(15 in) + 2H

2H = 22 inches

B = 11 inches

Step-by-step explanation:

radius = 10 cm

volume = v

height h cm

[tex] {10 }^{2} = h - 10 + r { }^{2} \\ {10 = }^{2} h - 20 + r { }^{2} \\ r {}^{2} = 20h - h {}^{2} [/tex]

hope it's helpful thanks

let's recall that d = rt, namely distance = rate * time.

d = distance from one pier to another

c = speed of the current

b = speed of the boat

now, let's notice something, on the way over the boat travelled "d" kilometers in 4 hrs, and back the same "d" kilometers in 5 hours.

when going with the current, the boat is not really going at "b" km/s, is really going faster, at "b + c" km/s, because the current is adding to it.

now, when going against the current, the boat is not really going "b" fast, is really going slower, at "b - c", because the current is subtracting from it.

from the above, we can conclude that the 4hrs trip was with the current, since it took less time, and the 5hrs trip was against the current, and we also know that the boat does 70 km with the current in 3.5 hrs, ok hmmm let's put all that in a table.

[tex]\begin{array}{lcccl} &\stackrel{km}{distance}&\stackrel{km/h}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{on the way over}&d&b+c&4\\ \textit{on the way back}&d&b-c&5\\\cline{1-4} \textit{we also know}&70&b+c&3.5 \end{array}~\hfill \begin{cases} d=(b+c)4\\\\ d = (b-c)5 \end{cases} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{(b+c)4~~ = ~~(b-c)5}\implies 4b+4c=5b-5c \\\\\\ 4c=b-5c\implies \boxed{9c=b} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{we know that}}{70~~ = ~~(b+c)3.5}\implies 70=(b+c)\cfrac{7}{2}\implies \stackrel{\textit{substituting "b"}}{70=(9c+c)\cfrac{7}{2}} \\\\\\ 70=10c\cdot \cfrac{7}{2}\implies 70=\cfrac{70c}{2}\implies 140=70c\implies \cfrac{140}{70}=c\implies \blacktriangleright 2=c \blacktriangleleft \\\\\\ \stackrel{\textit{the speed of the boat in still water is then}}{9c=b\implies 9(2)=b}\implies \blacktriangleright 18=b\blacktriangleleft[/tex]

Answer:

1/6 i think

Step-by-step explanation:

Answer:

b/2-3  

8/2-3(substituting B=8)

8/-1

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

The expression to be evaluated :

We have the value of b, which is equal to 8.

Therefore, on substituting in our simplified expression :

Answer:

72 squared meters

Step-by-step explanation:

triangle area= 1/2 bh

16 x 9 = 144

144 x 1/2 = 72

Hope this helps

Answer:

A = 72m



The sides we would need to multiply are:
9m x 16m

The formula for finding the area of a triangle is:
L x W X 1/2


9m x 16m =

9m x 10m = 90
9m x 6m = 54


90m + 54m = 144m

144m / 2 = ?m

? = 72m

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

yes

Step-by-step explanation:

your answer is correct

Answer:

115

Step-by-step explanation:

If 65 is subtracted from 180the answer is 115

[tex]\rm 3x^2[/tex]  is the polynomial of one variable with second-order and [tex]x^2y+3xy^2+1[/tex]  is the polynomial of two variables with third-order

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have polynomials:

[tex]\rm 3x^2[/tex]  and

[tex]x^2y+3xy^2+1[/tex]

For [tex]3x^2[/tex]

In this polynomial, the number of variables is one and the maximum power of x is 2, therefore:

This is the polynomial of one variable with second order.

In polynomial,  [tex]x^2y+3xy^2+1[/tex] there are two variables x and y.

The maximum power of x is 3( x has a power of 2 and y has a power of 1)

This is the polynomial of two variables with third order.

Thus, [tex]\rm 3x^2[/tex]  is the polynomial of one variable with second-order and [tex]x^2y+3xy^2+1[/tex]  is the polynomial of two variables with third-order.

Learn more about Polynomial here:

brainly.com/question/17822016

Answer:

The polynomial 3x2 is a monomial with a degree of 2

The polynomial x2y + 3xy2 + 1 is a trinomial with a degree of 3

Step-by-step explanation:

49, 36, 25, 16, 9, 4

============================================================

Explanation:

We always start with n = 1 when it comes to sequences and series problems.

Plug in n = 1 to get

[tex]a_n = (n-8)^2\\\\a_1 = (1-8)^2\\\\a_1 = (-7)^2\\\\a_1 = 49\\\\[/tex]

The first term is 49, showing that the answer is choice C.

We can stop here, but I'll show how to do another one to help you get practice.  Plug in n = 2.

[tex]a_n = (n-8)^2\\\\a_2 = (2-8)^2\\\\a_2 = (-6)^2\\\\a_2 = 36\\\\[/tex]

I'll let you compute the other terms.

Answer:

49,36,25,16,9,4

Step-by-step explanation:

First, eliminate anwser A since it's all negatives, and when squaring, negatives (without imaginary numbers) are impossible.

Foil out the equation:

a=(n-8)^2

a=(n-8)(n-8)

a=n^2-8n-8n+64

a=n^2-16n+64

Now find the values by substituting values n>=1:

49=1^2-16(1)+64

36=4-32+64

etc.

Answer:

18 plus 5 plus 17 gives 40 therefore ; p is eq 23/40