Mathematics High School

100 pts PLZ HELPPPPP
Which recursive formula fits the following pattern? 50, 25, 12.5, 6.25, 3.125...

Answers

Answer 1

Answer:

1.5625

Step-by-step explanation:

Find the ratio (r) between adjacent members: 50,25,12.5,6.25,3.125

a_2/a_1=25/50=0.5

a_3/a_2=12.5/25=0.5

a_4/a_3=6.25/12.5=0.5

a_5/a_4=3.125/6.25=0.5

The ration (r) between every two adjacent members of the series is constant and equal to 0.5 thus:

a_6 =a_1×(^r6-1)  =a_1×r^5 =50×0.5^5 =1.5625

____________________________

Related Questions

1). Simplify: |8 – 3|

Answers

Answer:

the answer is 5,  since both numbers are already positive.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

the absolute value is 8-3 so just solve it normally

HELP ILL MARK YOU BRAINLIST write in y=mx+b form HELP ILL MARK YOU BRAINLIST write in y=mx+b form

Answers

4 because 12 deveined by 3 is four, so four for every one point moved up

A pair of linear equations is shown below: y = −3x + 5 y = x + 2 Which of the following statements best explains the steps to solve the pair of equations graphically? (4 points) On a graph, find the point of intersection of two lines, the first line has y-intercept = 5 and slope = −3, and the second line has y-intercept = 2 and slope = 1. On a graph, find the point of intersection of two lines, the first line has y-intercept = −3 and slope = 5, and the second line has y-intercept = 1 and slope = 2. On a graph, find the point of intersection of two lines, the first line has y-intercept = −5 and slope = 3, and the second line has y-intercept = −2 and slope = −1. On a graph, find the point of intersection of two lines, the first line has y-intercept = 3 and slope = −5, and the second line has y-intercept = −1 and slope = −2.​

Answers

For a question this long please offer more points

Answer:

On a graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = −3, and the second line has y-intercept = 2 and slope = 1.

- sorry I answered late! but I just did the test and got a 100 :)

ASAP PLEASE!!!!!

Find the slope of a line that passes through (-2, -3) and (1, 1).

Answers

Answer:

[tex]m=\frac{4}{3}[/tex]

Step-by-step explanation:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here

[tex](x_1, y_1)= (-2, -3)[/tex]

and

[tex](x_2, y_2)=(1, 1)[/tex]

[tex]m=\frac{1-(-3)}{1-(-2)}[/tex]

A gardening company sells clay flower pots and plastic flower pots. There must be at least 2 pots in each shipment, but there cannot be more than 8 in a shipment. Additionally, the shipment must weigh less than 100 lbs. Each shipment container weighs 20 lbs., and there is 1 lb. of packing material. A clay flower pot weighs 15 lbs., whereas a plastic flower pot weighs 7.5 lbs.

(A) Write a system of inequalities that represent the constraints on the number of pots that can be included in one shipment.

Answers

The system of inequalities can be obtained from the given information

on the allowable weights and number of pots.

The correct responses:

The system of inequalities that represent the constraint on the number

of pots that can be included in one shipment are;

2 ≤ x + y ≤ 815·x + 7.5·y ≤ 79 lbs.

Methods used to find the system of inequalities

The inequality that represents the number total number of clay, T, in each shipment is 2 ≤ T ≤ 8

The inequality that represents weight of each shipment is w < 100 lbs

The weight of each shipment container = 20 lbs

The weight of the packing material = 1 lb

Therefore;

The maximum weight of the flower pots = 100 lbs - 21 lbs = 79 lbs

The weight of each clay flower pot = 15 lbs

The weight of each plastic flower pot = 7.5 lbs

Let "x" represent the number of clay flower pot included in one shipment

and let "y" represent the number of plastic flower pot included in one

shipment, we have;

The system of inequalities that represent the constraint on the number of pots that can be included in one shipment are as follows;

2 ≤ x + y ≤ 815·x + 7.5·y ≤ 79 lbs.

Learn more about inequalities here:

https://brainly.com/question/10868639

We will find the system of inequalities:

C*15 lb  + P*7.5lb < 79 lb

2  ≤ P + C ≤ 8

How to write a system of inequalities?

First, we need to define the variables that we will be using, these are:

C = number of clay pots.P = number of plastic pots.

From the first restriction, we have that:

2  ≤ P + C ≤ 8

The other restriction says that the weight must be less than 100lbs:

W < 100lbs

Where the weight is:

W = C*15 lb  + P*7.5lb + 20lb + 1lb

Where 20lb is the weight of the container and 1lb is the weight of the packing material, then we have:

C*15 lb  + P*7.5lb + 20lb + 1lb < 100lb

We can subtract 21 lb in both sides to get:

C*15 lb  + P*7.5lb < 100 lb - 21 lb

C*15 lb  + P*7.5lb < 79 lb

So we got our two inequalities, then the system is:

C*15 lb  + P*7.5lb < 79 lb

2  ≤ P + C ≤ 8

If you want to learn more about systems of inequalities, you can read:

https://brainly.com/question/9774970

Find the distance between points (a, b) and (-a, -b).

Answers

Answer:

you have to show which points lol

What will be the coordinates of Q?
A (-6, -5)
B (-5, -6)
C (5, 6)
D (6, 5)

Answers

Answer:

I Dont understand

Step-by-step explanation:

Find the slope and y-intercept of 5x – y = 7. Reduce all fractions.
slope = - Ô =
y-intercept =
B

Answers

Answer:

slope= ( 5,1 ) Y-intercept= ( 0,-7 )

Step-by-step explanation:


yo someone help me with my last question pls!!

Answers

Answer:

n7 is y

Step-by-step explanation:y

What is the value of y in the solution to the following system of equations?
2x + y = -4
5x + 3y = -6

Answers

y= -32

Step-by-step explanation:

step 1: from the first equation you will make X the subject of formula, the equation then becomes;

X= 4-y

2

step 2: substitute X in the second equation, the equation then becomes 5 * [4-y] + 3y = -6

[ 2]

step 3: find the LCM and then cross multiply; 20-5y+6y = -6

2

20+y = -12

y= -12-20

y= -32

solve for N
3(3n – 4) = -48

Answers

9n - 13 = -48
+13

9n = -35
/9 /9

N= -3.888

Answer:

n=-4

Step-by-step explanation:

3(3n-4)=-48

First use the distributic property and then add and divide from both sides of the equation.

9n-12=-489n=-36n=-4

Find the gcf of 12,18 and 24( must be a factor of all numbers)

Answers

6 I think! I hope it’s right I did that type of math a while ago but I’m pretty sure it’s 6! Please tell me if I’m wrong ‘ouo

Which shaded region is larger? Explain your reasoning..

Answers

Answer:

It's B because If you cover the blue you will see space that looks like a triangle. Do the same to A. You see how in B the Triangle looking thing is lower than A because A triangle thing is like more up and wider so it has space. Also B has a little space than A

Step-by-step explanation:

Is 15625/1000000 between -1 and 0??

Answers

Answer:

no

Step-by-step explanation:

It would be like 0.(something) meaning it would be more than 0

PLS HELP ME it's due today and I suck at math!!! I'll make Brainliest (also I know it's a bit hard to see) ​

Answers

Answer:

B. 8/10

Step-by-step explanation:

Answer:

The answer is D. 4/13

Step-by-step explanation:

Parallelogram PQRS has diagonals PR and SQ that intersect at T. Given SP=2a+5, RQ=5a−1, ST=3b−3, and SQ=7b−9, what are the values of RQ and TQ?

Answers

Answer:

RQ=2 TQ=6

Step-by-step explanation:

Answer:

RQ = 9 , TQ = 6

Step-by-step explanation:

There were 20 questions on an exam. You answered 40% of them incorrectly. How many did you answer incorrectly?

Answers

40% = 0.40
20 * 0.40 = 8
Solution: you answered 8 incorrectly

Answer: 4

Step-by-step explanation: 20-10=10 which is %50. 20-16=4

Calculate the slope of a line with a run of 3 and a rise of 9

Answers

Answer:

Multiply the slope by the run to calculate the rise between subsequent points. if you wanted to know the rise given a run of 3, multiply 10times 0.9 to calculate a rise of 9. Divide the rise by the slope to calculate the run.

Simplify: 5d?(3d - 2)
A
8d8 + 3d2
B.
15d3 + 3d
C 15d3 - 10d2
D 8d3-10d?

Answers

It’s 15d^2 -10d is that not an answer choice?

why doesn't my messages work?

Answers

Answer:

I was wondering the same thing. maybe it is specific for certain people.

Step-by-step explanation:

Answer:

i think you have to be a certain rank

Step-by-step explanation:

A train travel 20 miles in 15 minutes 40 miles in 30 minutes and 60 miles in 45 minutes which equation represents the speed of the train in miles per hour

Answers

every 20 miles it went 5 minutes slower

Answer:

y = 80x

Step-by-step explanation:

In 30 minutes the train went 40 ml so in an hr the train would be at 80 ml

The ratio of boys to girls is 3 to 2. If there are 57 boys,how many girls are there ?

Answers

Answer:

There are 38 girls, 57;32

Step-by-step explanation:

57 divided by 3 is equal to 19

19 multiplied by 2 is equal to 38

plz help me with this q

Answers

Answer:

lenght is 6

Step-by-step explanation:

i think so

HOPE IT HELPS!!!

Could be: 6*3 9*2 18*1

Explanation: Rectangles have one side longer than the other. To get the area of a rectangle you do Length*Width. So I divided 18 by whole numbers to get multiple choices for you.

Estimate 73,784-32,863 by first rounding each number to the nearest thousand

Answers

The answer is 40,000

is this equation linear or exponential
f(x)=2x+1

Answers

Answer:

The equation is linear.

Step-by-step explanation:

Notice that variable x is on the first degree.

Answer:

linear

Step-by-step explanation:

uiwue7uwiiwuw8

Colin buys a tv for £740. It depreciates at a rate of 4% per year. How much will it be worth in 5 years? Give your answer to the nearest penny where appropriate.

Answers

Given :

Colin buys a tv for £740. It depreciates at a rate of 4% per year.

To Find :

How much will it be worth in 5 years.

Solution :

Decrease in price in 1 year is :

[tex]P = P_o- P_o\times 0.04\\\\P = 0.96P_o[/tex]

So, decrease in price after x years is :

[tex]P = (0.96)^x P_o[/tex]

Putting value of x and [tex]P_o[/tex] in above equation, we get :

[tex]P = 0.96^5\times 740\\\\P = \£\ 603.38[/tex]

Therefore, the worth of T.V after 5 years is £603.38 .

what is the answer to 5(2x-4)

Answers

Answer:

-10x

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

Johnny left his house early in the morning for a run. he ran 2 miles north, 6 miles west, 3 miles north, 10 miles south, 8 miles east, and then 2 miles west. what distance did he run?

Answers

The answer is 31 miles

The total distance ran by Johnny after he left the house is D = 31 miles

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as D

Now , the value of D is

Substituting the values in the equation , we get

Let the total distance ran by Johnny be D = ran 2 miles north, 6 miles west, 3 miles north, 10 miles south, 8 miles east, and then 2 miles

So , D = 2 + 6 + 3 + 10 + 8 + 2

On simplifying the equation , we get

D = 31 miles

Hence , the distance is D = 31 miles

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

A nutrition label shows that there are 75 milligrams of sodium in every 12 crackers. You eat 21 crackers. How much sodium do you consume?

Answers

78.36 milligrams. If I calculated correctly... 12 is 16% of 75. Therefore 16% of 12 is 3.36. So 75+3.36=78.36

The amount of sodium that you consume is 131.25mg.

Using this formula

Amount of sodium=(Milligrams of sodium/Number of crackers)×Number of cracker consumed

Where:

Milligrams of sodium=75 milligramsNumber of crackers=12 crackersNumber of cracker consumed=21 crackers

Let plug in the formula

Amount of sodium=(75mg/12)×21

Amount of sodium=6.25mg×21

Amount of sodium=131.25 mg

Inconclusion  the amount of sodium that you consume is 131.25mg.

Learn more here:

https://brainly.com/question/17770042

The product of a number, x, and 18 is 113.4. Which equation and value of x represent this relationship?

Answers

Answer:

42

Step-by-step explanation:

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