Mathematics High School

(Easy) What is the next term in the sequence: 2, -2/3, 2/9, -2/27

Answers

Answer 1

Answer:

[tex]\frac{2}{81}[/tex]

Step-by-step explanation:

There is a common ratio between consecutive terms in the sequence

r = [tex]\frac{-\frac{2}{3} }{2}[/tex] = [tex]\frac{\frac{2}{9} }{-\frac{2}{3} }[/tex] = [tex]\frac{-\frac{2}{27} }{\frac{2}{9} }[/tex] = - [tex]\frac{1}{3}[/tex]

To find a term in the sequence multiply the previous term by - [tex]\frac{1}{3}[/tex] , then

a₅ = - [tex]\frac{1}{3}[/tex] × a₄ = - [tex]\frac{1}{3}[/tex] × - [tex]\frac{2}{27}[/tex] = [tex]\frac{2}{81}[/tex]

Related Questions

A scientist is testing a new antibiotic on some bacteria she discovers the the antibiotic kills half of the Bactria every hour if she starts with 42000 bacteria what equation can be used to predict the number of bacteria after x hours
a). y= 42000(2)^x
b). y=42000(1/2)^x
c). y=42000(1.5)^x
d). y=(42000/2)^x

Answers

D because if you add all the bacteria and then you subtract and multiply than divide you get B

Solve for p.

98 = 4p + 38

Answers

Answer:

P=15

Step-by-step explanation:

Answer:

P=15

Step-by-step explanation:

first:

98-38=60

4p=60

60÷4=15

P=15

hope that helped :)

Tom needs to buy a wood board long enough to cut into 4 pieces,
each of which needs to measure 8.5 inches. Estimate to the nearest inch
7
how long of a board Tom needs to buy.
A. 36 inches
B. 32 inches
C.40 inches
D. 9 inches

Answers

The answer is A. 8.5 times 4 = 36

PLEASEEEE HELPPPPPP!!!

Answers

Answer:

18

Step-by-step explanation:

Write an algebraic expression for the following word expression.

13 more than the product of m and 3

Evaluate the expression for the value of the variable: 6

Answers

Answer:

3m + 13 = 31 I hope this helps you!

what's a variable?????????????

Answers

Answer:

In mathematics, a variable is a symbol which functions as a placeholder for varying expression or quantities, and is often used to represent an arbitrary element of a set. In addition to numbers, variables are commonly used to represent vectors, matrices and functions. In science, there is a independent and dependent variable.

Step-by-step explanation:

Answer:

VARIABLE MEANING: A variable is a letter used to describe an unknown number. A quantity that can change or vary, taking on different values. A letter or symbol representing a varying quantity.

CO EFFICIENT MEANING: A number next a variable behind the letter examples: 4m -3x 6y 5w

EXPRESSION MEANING: An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division.

TERM MEANING: It's either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs, or sometimes by divide.

The mass of a car is 1000 kg. How much force would be required to accelerate the car at a rate of 5 m/sec^2 ?

Answers

Answer:

5000 N

Step-by-step explanation:

Given:

Mass m = 1000 kg

Acceleration a = 5 m/s^2

Force F =?

By Newton's first law of motion:

F = ma

F = 1000 * 5

F = 5000 N

(N = Newton, unit of force is Newton and is written as N. )

-3(1+6r)=14-r


in class need help

Answers

Answer:

r = -1

Step-by-step explanation:

-3(1+6r)=14-r

Distribute the -3

-3*1 -3*6r = 14-r

-3 -18r = 14 -r

Add 18r to each side

-3-18r+18r = 14-r+18r

-3 = 14+17r

Subtract 14 from each side

-3-14 = 14+17t-14

-17 = 17r

Divide by 17

-17/17 = -17r/-17

-1 =r

Riko is ordering a submarine sandwich for 6 people. Each person will eat the same size section of the sandwich. The section size should be at least 4 inches. What is the length of the smallest sandwich Riko should order?

Answers

Answer: 24 inches.

Step-by-step explanation:

If each section length is 4 inches, then that means that each person will need to eat a sandwich section that is at least 4 inches.

There are 6 people, which means that each person will eat 4 inches of a sandwich.

To calculate the length of the sandwich Riko should order, we should mutliply 6 by 4, because there are 6 people and each person will be eating 4 inches of a sandwich.

6 x 4 = 24.

In conclusion, the smallest sandwich Riko should order is a sandwich that is 24 inches long.

(Quick Note: This is also the smallest sandwich Riko could order, because the text states that each person eats at least 4 inches.)

if layla can right 20 essays in 15 minutes and 8 in 6 minutes then how many can she right in 45 minutes?​

Answers

Answer:

60! hope this helps!

Step-by-step explanation:

Can anyone answer this for me thanks.

Answers

Answer:

ghhhbvhnv

Step-by-step explanation:

kjkjkjjn,nj,jn,jn

HELP TIMED!!
WILL GIVE BRAINLIEST

Answers

It’s b my ninjas pog

what is the answer to the question -6=n+5n

Answers

Answer:

-1=n I believe would be the answer.

-5x = 25
what is the answer for x?

Answers

Answer:

i think its -5

Step-by-step explanation:

if you devide 25 by -5 you get -5

Answer: x = -5

Step-by-step explanation:

We can use inverse operations to solve the equation. Because the term "-5x" is multiplication (because you are multiplying x by -5), we can use division to solve the equation.

First, we will divide -5 from 25.

25 ÷ -5 = -5.

Because of this, x = -5!

If we're not sure, we can also check the equation.

-5 x -5 = 25, so the answer is true.

In conclusion, x = -5!

Please help me ASAP

Answers

(-4,1) if I get it wrong I tread
The correct answer is(-3,4)

I NEED THE VALUE OF X PLEASE HELP!

Answers

Answer: 25.81

Step-by-step explanation:

We can see its a right triangle and then with Squareroot(21^2 + 15^2) = 25.81

Need Help Please!!!!

Answers

Answer:

lol hard!

Step-by-step explanation:

I really need 5 stars pleaseeeeee
Put 5 stats on this

Используя теорему о внешнем угле треугольника, найдите угол С.​

Answers

i cant speak russian or understand russian

David is running a unique coffee shop. He
charges $25 per coffee. If a customer pays
$67 for 2 coffees, how much change should
be given back by David?

Answers

Multiply 25x 2 , which is 50 and then do 67 minus 50, which is 17. David has to give back $17 .

Estimate the value of 102.3 divided 4.7

Answers

Answer: 21

Step-by-step explanation: 21.7659574 would be the exact awnser but to estimate you can just say 21

Answer:

It is actually 20.

Step-by-step explanation:

over which of the following approximate intervals is the water level decreasing
pls help !

Answers

Answer:

B and C

Step-by-step explanation:

It is going down

2x + 3 = 5, then, x=

Answers

Answer:

x= 1

Step-by-step explanation:

2x1=2+3=5

Answer:

x is equals to 1..........

What is 0.000056023 written in scientific notation?

Answers

Answer:

5.6023 × 10^-5

Step-by-step explanation:

Let me know if you need an explanation.

Answer:

0.00005602

Step-by-step explanation:

0.00005602

(hope this helps can i plz have brainlist :D hehe)

what is the answer to 35% of 820

Answers

Answer:

35%of 820

35/100×820

287

...........

Answer:

287

Step-by-step explanation:

100% = 820

35%   = 820 ÷ 100 × 35

         = 287

PLEASE HELP ME PLEASE

Answers

Answer:

B

Step-by-step explanation:

(f – g)(x) = f (x) – g(x)=

[tex]3 {x}^{2} - 4x + 3 \\ - 2 {x}^{2} + 6x + 4 \\ = 5 {x}^{2} - 10x - 1[/tex]

Solve the following system of equations using substitution, elimination, or elimination by multiplication.

Answers

Answer: (-4, 8)

Explanation:
2x - 7(2x + 16) = -64
2x - 14x - 112 = -64
-12x = 48
x = -4
y = 2(-4) + 16
y = -8 + 16
y = 8

5 is not more than x​

Answers

Answer:

well we don't don't know...because x is unknown

Answer:

There no problem but 5<=x in equation form

Step-by-step explanation:

That way because x can either be five or higher

Someo ne pllllzzzz help me asap i will give brain thingy and 20 points!

Answers

Part 1) Finding the inverse

Let x = r and y = H(r)

We have the equation y = 6240(1 + x/100)^t which is the same as saying y = 6240(1 + 0.01x)^t since 1/100 = 0.01

From here, swap x and y to get the equation x = 6240(1+0.01y)^t

Let's solve for y

x = 6240(1+0.01y)^t

6240(1+0.01y)^t = x

(1+0.01y)^t = x/6240

1+0.01y = (x/6240)^(1/t)

0.01y = (x/6240)^(1/t)-1

100*0.01y = 100*((x/6240)^(1/t)-1)

y = 100*((x/6240)^(1/t)-1)

y = 100*(x/6240)^(1/t) - 100

This becomes r = 100*(H/6240)^(1/t) - 100 after we replace y with r and x with H. Note the r and H swapped places, just like x and y did. Earlier we had H isolated on the left, but now r is isolated on the left.

We could write r(H) = 100*(H/6240)^(1/t) - 100 to mean the same thing.

So what exactly does this inverse function do? Well the original function tells us the number of households for any given growth rate, which is r.

The inverse function swaps things around to allow us to find the growth rate if we know how many households there are. We're working backwards. In both cases, t is held to some constant fixed value.

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

Part 2) Finding the growth rate if the number of households is 7800 after 3 years.

We're going to plug in H = 7800 and t = 3 into the inverse function we found to determine the value of r, or r(H)

r(H) = 100*(H/6240)^(1/t) - 100

r(7800) = 100*(7800/6240)^(1/3) - 100

r(7800) = 7.72173450159419

You'll need your calculator to get this approximate value. After rounding to two decimal places, we get r(7800) = 7.72

Since r = 7.72, this means the growth rate is 7.72%

y=-5/4x-1 what is the slope and y intercept

Answers

Answer:

Slope = -5/4.    And y-int = (0,-1)

Step-by-step explanation:

A union negotiates for a cost of living raise of 7%. What is the raise for a union member whose salary is $40,240? What is this person’s new salary?

Answers

$2816.80 is the raise

21 is 30% of 70

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