What is the common difference and ninth term for the following sequence:
3,5/2,2,3/2,1

Answers

Answer 1

Answer:

Common Difference: [tex]-\frac{1}{2}[/tex]

The ninth term: -1

Step-by-step explanation:

The sequence can be written like this,

3, 2.5, 2, 1.5, 1, ....

Here the common difference is clearly -0.5 or [tex]-\frac{1}{2}[/tex], and we can conclude that [tex]n^{th}[/tex] number is [tex]3 - 0.5(n-1)[/tex]. So the 9th term is,

[tex]3 - 0.5(9 - 1)\\= -1[/tex]


Related Questions

Find the solutions to the equation x2 - 15x - 100 = 0.

Answers

Answer:

X= 20 or -5

Step-by-step explanation:

Jonathan was 45 inches tall when he started kindergarten. He grew an average of 2.5 inches every year. Jonathan is now 62.5 inches tall. ​Which equation can be used to find how many years ago Jonathan started kindergarten, and how many years ago was it?


A. (45 + 62.5) ÷ 2.5 = x 7 years

B. 2.5x + 45 = 62.5 7 years

C. (45 + 62.5) ÷ 2.5 = x 43 years

D. 2.5x + 45 = 62.5 43 years

Answers

Answer:

B; 2.5x + 45 = 62.5

Step-by-step explanation:

Since the current height is 62.5, and the starting height is 45, then all you have to do is subtract 45 from 62.5, then divide that by 2.5 to get your answer, which should be 7 years.

Hopefully this helps- let me know if you have any questions!

there are 96 coins in a bottle
1/2 coins are $1 coins
rest of the coins are 50p coins
work out the total value of 96 coins

Answers

Answer:

The total value of the 96 coins is 72.

Step-by-step explanation:

There are half coins of 1. 48 coins of 1. It is cost will be 48. And rest are of 50p. 48 coins of 50 p. Therefore it is cost will be 24. The total cost will be 48+24=72.

Mariah is replacing the water heater in her home and is considering three different models. One of the things she is comparing is
the volume of the cylindrical storage tank in each water heater. The dimensions of the storage tanks, in inches, are as follows.
• Water Heater X: r= 8.5 and h = 48
• Water Heater Y: r= 9.5 and h = 44
• Water Heater Z: r= 10.5 and h = 32
Which statement is true?
OA. Water heater Y has the storage tank with the greatest volume.
B. Water heater X has the storage tank with the greatest volume.
OC
The storage tanks in all three water heaters have the same volume.
OD
Water heater Z has the storage tank with the greatest volume.

Answers

Answer:

A

Step-by-step explanation:

The volume of a Cylinder is [tex]\pi \\[/tex]*r^2 * h

In this problem I will use 3.14 as pi because it is easier to type

Water Tank X: 8.5*8.5*3.14*48=10,889.52

Water Tank Y: 9.5*9.5 *3.14*44=12,469.94

Water Tank Z: 10.5*10.5*3.14*32=11,077.92

So, A is correct.

हल गर्नुहोस् (Solve):
3X+1 + 3x = 108
सरल गर्नुहोस् (Simplify):
1
1
+
(a - b) (a-st 16-allo​

Answers

107/6

Step-by-step explanation:

3x+1+3x=108

6x=108-1

6x=107

x=107/6

Part 1: What is the rate of rice to quarts of water for this recipe that uses 4 pounds of rice and 5 quarts of boiling water?​

Answers

Given:

A recipe uses 4 pounds of rice and 5 quarts of boiling water.

To find:

The rate of rice to quarts of water for this recipe.

Solution:

We need to divide the amount of rice by amount of water to get the rate of rice to quarts of water for this recipe.

[tex]\text{Required rate}=\dfrac{\text{Rice in pounds}}{\text{Water in quarts}}[/tex]

[tex]\text{Required rate}=\dfrac{4}{5}[/tex]

[tex]\text{Required rate}=0.8[/tex]

Therefore, the  rate of rice to quarts of water for this recipe is 0.8.

Pleaseeeeee can anyone help me????

Answers

Answer:

27.63

Step-by-step explanation:

r = 4.4

Circumference of a Circle formula:

C = 2πr

C = 2(3.14)(4.4)

C = 6.28(4.4)

C = 27.632

Rounded to the nearest hundredth:

27.63

Answer:

C= 27.63 inches

Step-by-step explanation:

Use the circumference formula C = 2πr.

Subsitute what you are given into the equation and solve.

C = 2πr

C= 2*(3.14)*(4.4inches)

C= 27.63 inches

Find the surface area. Answer without units.
18 cm
11 cm
9cm
Please help hurry

Answers

Answer:

306

Step-by-step explanation:

v = 1/3bh

2×(18×11 + 18×9 + 11×9) / 3 = 918/3

= 306

hope this helps, mark brainliest if it did luv gl !

which is a rational number
a) 1.4142135623
b) 3.6256256
c) 2 (pie)
d) squared 5​

Answers

Answer:

Rational numbers can be expressed as a fraction

Squared 5 = 25

25 can be expressed as  a  fraction- 25/1, so d is correct.

Let me know if this helps!

5 squared is right im sorry i miss read it

I have to study for a test. It's for data management. Does anyone have tips? (Grade 7)

Answers

Studying: Use resources.

If your studying for a test, use some resources, like quizizz, quizlet, flashcards, or the internet. If you do, ask your parents for help. Think it like its your big test, and your studying a lot. If you study and try, you'll pass the test on data management. If you need it, ask your teacher for tutoring or practice some data management questions. Studying will help you not to fail a test.

Now, we'll talk about before the test.

Before test: Rest, eat breakfast, and stay calm.

Step-by-step explanation: Going to bed before a test can prevent you from going to sleep. For example, GMAS (for me) is coming soon, and my teacher encourage us to rest, eat breakfast and stay calm. A recommended time for you to go to bed is 8:00-9:30.

Now, about breakfast.

Eating breakfast is also important because you can perform better, in fact, scientists say that if students eat breakfast before a test or exam, they will perform better! Whatever you do, don't skip breakfast. If you do, you won't perform good, and theirs a chance you could fail.

Now, staying calm is the big one.

If your freaking out, stay calm, say a prayer and get your work done! Staying calm is the big one because most students (I am one of them) get worried if they're gonna fail. Keep this in mind: Try. Your. Best. If you don't try, you won't achieve anything. And please don't cheat. If you cheat, you'll have to repeat the whole grade. Can't cheat in college; you'll get kicked out.

During test: DO. NOT. CHEAT.

CHEATING WILL GET YOU KICKED OUT OF COLLEGE AND YOU'LL AUTOMATICALLY FAIL!!! If your computer prevents you from going to other sites, that is good, but don't pull out ANY study guides or notes during your test, unless it's open-notes. If you don't know a questions, skip it and go to the next one. Then go back, it will come to mind later. If your done with your test early, check your answers. Look back and think, "Is this correct?"

Hope you do good on your test!

~ Lily, from Brainly.

P(x)=0.2x^2+20x-4 where x is the number of units sold. How many units need to be sold for the business to make a profit of $101?

Answers

Answer:

5

Step-by-step explanation:

Given the profit equation ;P(x)

x = number of units sold

P(x) = profit made

P(x) = 101

101 = 0.2x^2+20x-4

0.2x^2+20x-4 - 101

0.2x² + 20x - 105 = 0

Using the formula:

-b±[sqrt(b² - 4ac) / 2a]

Where ;

a = 0.2 ; b = 20, c = - 105

Using the quadratic equation solver to save time :

The roots are :

-105 and 5

Items sold cannot be negative ;

Hence, x = units sold = 5

im stuck on this question

Answers

Answer: f

Step-by-step explanation: I chose f because m=29.57 which is is the starting point


What is the equation of the line that passes through the point (-4, -6) and has a
slope of -1/2?

Answers

Answer:

y=(-1/2)x-8

Step-by-step explanation:

Answer:

y=-1/2x - 8

Use desmos to help with these problems

Alyssa uses 4 ounces of flour to make pancakes each morning how long will it take her to use up a 6 pound bag

Answers

there is 16 ounces in a pound so you would do 6 x 4 which equals 24 days or mornings it would take to use the 6 pounds

If Alyssa uses 4 ounces of flour to make pancakes each morning how long will it take her to use up a 6 pound bag is 24 days.

Number of days

Using this formula

Number of days=Number of ounces×Number of pound bag

Where:
Number of ounces=4 ounces

Number of pound bag=6

Let plug in the formula

Number of days=4×6

Number of days=24 days

Therefore  how long will it take her to use up a 6 pound bag is 24 days.\]

Learn more about number of days here:https://brainly.com/question/9286901

Help please
Brainiest answer to whoever is first

Answers

Answer:

75

Step-by-step explanation:

The answer is 66 because you add every side.

INSTRUCTIONS: Calculate the Mean, Median, Mode, and Range from the data set (February 14-28, 2021).
10.9, 10.4, 9, 5.7, 7.8, 9.3, 2.2, 11, 9.6, 4.8, 7.4, 8.4, 7.7, 10.8, 7.7, 10.8, 13.7 (PLS HELP)

Answers

Answer:

The mean is 128.7

There is no mode

The median is 9

The range is 11.5

Step-by-step explanation:

the sum of 6 less than a number and 3​

Answers

Answer:

2

Step-by-step explanation:

the relationship between a and b if a + b = 0

Answers

Answer:

a=-b

Step-by-step explanation:

a+b=0a=-b

Or,

b=-a

What is the distance between (4, 7) and (-8, 3)? Round to the nearest tenth.

Answers

Answer:

The distance is approximately 12.6.

Step-by-step explanation:

Moving from (-8, 3) to (4, 7), we see x (the horizontal dimension) increasing by 12 and y (the vertical dimension) increasing by 4.  Think of 12 and 4 as the legs of a right triangle whose hypotenuse represents the distance between these two given points.

This distance, from the Pythagorean Theorem, is

d = √(12^2 + 4^2) = √(144 + 16) = √160 = √16√10.

The desired distance is approximately 12.6.

To make 12 ounces of hot chocolate, 3 tablespoons of cocoa are needed. How many tablespoons of cocoa are needed to make 72 ounces of hot chocolate?

Answers

Answer:

18

Step-by-step explanation:

HELP ASAP!! BEST ANSWER GETS BRAINLY! pls only answer if u know the answer this is a test!
Which answer is the slope-intercept form for the given equation? 1/3x+2y=4/3
y=2/3x+4/3
y=−1/6x+4/3
y=−2/3x+2/3
y=−1/6x+2/3

Answers

Answer:

It's the fourth one y=-1/6x+2/3

Step-by-step explanation:

what is pi and how invented it??

Answers

Answer:

Step-by-step explanation:

The Egyptians calculated the area of a circle by a formula that gave the approximate value of 3.1605 for π. The first calculation of π was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world.

Answer:

π is a mathematical constant. Its commonly used value is 3.14. There is a expanded value for π. It appears in many formulas in all areas of mathematics and physics. In maths, it is commonly used for solving of circles and spheres.

The π was invented by Archimedes of Syracuse. He was one of the greatest mathematicians of the ancient world.

Please help!! I will give brainliest

Answers

The answer is A
I did this class last year

what is the area to this triangle

Answers

Answer:

12 x 12 = 144 divided by 2 = 72, 72 is your answer formula of a triangle: BH x 1/2

Step-by-step explanation:

72 square cm

PLEASE ANSWER FAST!

A water tank contains exactly 1,000 gallons. A pump fills the remainder of the tank using
a logistic function. If the volume of the tank is 15,000 gallons and the pump fills the tank at a rate of 10.4% per minute, explain how to find the value of a for the logistic function that describes this scenario.

Answers

Answer:    V ( t ) = 1 + 1 4 e − 0 . 1 0 4 t 1 5 , 0 0 0 ​   ​  

The required value for the logistic function describing the scenario of the water tank being filled at a rate of 10.4% per minute.

What is the logistic function?

The logistic function has the form:

[tex]f(x) = L / (1 + a \times e^{(-kx)})[/tex]

Where:

f(x) is the volume of the tank at time x

L is the maximum volume the tank can hold

a is a constant that determines the growth rate of the function

k is a constant that determines the rate at which the growth slows down as the tank approaches the maximum volume

In this case, the maximum volume of the tank is 15,000 gallons, so L = 15,000.

The pump fills the tank at a rate of 10.4% per minute, so k = 0.104.

To find the value of a, we need to solve the logistic equation for a given the values of f(x), L, and k.

We can rearrange the logistic equation to solve for a:

[tex]a = (1 / f(x)) - (1 / L) \times e^{(kx)}[/tex]

Substituting the known values into this equation, we get:

[tex]a = (1 / 1,000) - (1 / 15,000) \times e^{(0.104x)}[/tex]

This equation can be used to solve for the value of a for any given value of x (time). For example, if we want to know the value of an after 10 minutes, we can substitute x = 10 into the equation to get:

[tex]a = (1 / 1,000) - (1 / 15,000) \times e^{(1.04)}[/tex]

This gives us the value of a for the logistic function that describes the scenario of the water tank being filled at a rate of 10.4% per minute.

To learn more about logistic function click here:

https://brainly.com/question/18686811

#SPJ5

5
A rectangle has a width that is 5 feet less than the length. The area of the rectangle is
126 square feet. Find the width of the rectangle. (Do not type units in the answer)

Answers

Answer:

Step-by-step explanation:

will mark brainless!!! 7. Step 2: Calculate the perimeter of DEF using the scale factor.

62.5 ft

196.5 ft

163.75 ft

58 ft

Answers

163.75 ft is the answer

What is the area of the rectangle, in square feet?

A rectangle with length 20 feet and width 9 feet.
29
58
120
180

Answers

20x9=180 feet squared
answer is 29=feet square

AB
Round your answer to the nearest hundredth.
С
4
A
25°
?
B

Answers

Answer:

AB ≈ 4.41

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos25° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{4}{AB}[/tex] ( multiply both sides by AB )

AB × cos25° = 4 ( divide both sides by cos25° )

AB = [tex]\frac{4}{cos25}[/tex] ≈ 4.41 ( to the nearest hundredth )

can someone please help me asap

Answers

Answer:

I cant see it....

Step-by-step explanation:

I cant see it....

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