How are sequences whose consecutive terms differ by a constant modeled, and what can those models tell us?

Answers

Answer 1

Answer:

Linear functions

Step-by-step explanation:


Related Questions

A garden is in the shape of a trapezium whose parallel sides are 40m and 22m and the perpendicular distance between them is 12m. Find the area of the garden

Answers

Answer:

A = 372 m²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₁ the parallel bases

Here h = 12, b₁ = 40 and b₂ = 22 , then

A = [tex]\frac{1}{2}[/tex] × 12 × (40 + 22) = 6 × 62 = 372 m²

PLEASE HELP
Hans drove 715 miles in 3 hours. At the same rate, how many miles would he drive in 11 hours?

Answers

2621 2/3 miles


715 miles / 3 hrs = 238 1/3 mph
238 1/3 mph x 11 hrs = 2621 2/3 miles

Fred is N years old. Michael is six years younger than Fred and two years older than Chris. What is the sum of the three ages?​

Answers

AGES FOUR YEARS AGO
Let's first determine Jim's age and Sam's age FOUR YEARS AGO
If 2x = Jim's age TODAY, then 2x - 4 = Jim's age FOUR YEARS AGO
If x - 2 = Sam's age TODAY, then x - 2 - 4 = Sam's age FOUR YEARS AGO

Four years ago Jim was 4 times as old as Sam.
In other words, the value of 2x - 4 is 4 times the value of x - 2 - 4
So, we can write: 2x - 4 = 4(x - 2 -4)
Simplify right side: 2x - 4 = 4(x - 6)
Expand right side: 2x - 4 = 4x - 24
Add 24 to both sides: 2x + 20 = 4x
Subtract 2x from both sides: 20 = 2x
Solve: x = 10

How old is Jim NOW?
2x = Jim's age TODAY
Since x = 10, we know that Jim's age = 2(10) = 20

Plshelp

find a10 in sequence 3, 1, 1/3, 1/9

Answers

Answer:

1/2187 is the 10th answer in the sequence

Step-by-step explanation:

just keep dividing the number by 3

1/9, 1/27, 1/81, 1/243, 1/729, 1/2187

x = 12
2x^2(x-5)/10x

Answers

Answer:

84/5

Step-by-step explanation:

x = 12

2x^2(x-5)/10x

2*12^2(12-5)/10*12

2*12*7/10

84/5

which is greater 3.65x10-8 or 3.65x10-7

Answers

Answer:

the second one is your answer

Step-by-step explanation:

hope this helped mark me brainlest pls and thank you

please help with this, faststes answer gets brainliest

Answers

Answer:

Your answer is the last one. The decimal point moves four places to the right.

Step-by-step explanation:

Hope this helps!

Last week, Alan's Diner sold 10 milkshakes with whipped cream on top and 15 milkshakes without whipped cream. What percentage of the milkshakes had whipped cream?

Answers

Answer:

4

Step-by-step explanation:

Answer:

4 milkshakes with whipped cream

solve the formula for the specified value

v=1/3 bh

solve for b ​

Answers

Answer:

The choice a.

[tex]B = \frac{3v}{h} [/tex]

Step-by-step explanation:

[tex]v = \frac{1}{3} Bh \\ \\ v = \frac{Bh}{3} \\ \\ Bh = 3v \\ \\B = \frac{3v}{h} [/tex]

I hope I helped you^_^

a company had to extend a project from 276 days to 483 days. what was the precentage increase in time to complete the project?

Answers

Answer: 75% increase

Step-by-step explanation:

First, you subtract the two numbers to find out how much increased.

483-276= 207

Divide by original number

207/276= [tex]\frac{3}4}[/tex]

Multiply by 100

[tex]\frac{3}{4}*100=[/tex] 75% increase

If you have 4 pieces of candy split evenly into 2 bags, how many pieces of candy are in each bag?​

Answers

2 my friend good luck

Answer:

MARK ME AS BRAINLIEST

Step-by-step explanation:

so 4 divied by 2 is 2. So 2 is the answer.

what are you a newborn? even little kids could answer this, genius.

What is the value of a?

a–2=3+6a3

Answers

Answer:

54

Step-by-step explanation:

Find the circumference and area of a circle with diameter 22 ft.

Answers

Answer:

C ≅ 69.08

a= 380.1 square inches

Step-by-step explanation:

PLEASE HURRY

In a particular year, a total of 49,652 students studied in two of the most popular host countries when traveling abroad. If 6786 more students studied in the most popular host country than in the second most popular host country,find how many students studied abroad in each country

How many students studied abroad in the most popular host country

Answers

x = most popular

y = second most popular

x+y=49652

x=y+6786

Substitute into the first equation

(y+6786)+y=49652

2y=49652-6786

2y=42866

y=21433

x=21433+6786=28219(answer)

The Equation of line u is y =-8/9x+5/4. The equation of line v is y =9/8x+7/4. Are line u and line v parallel or perpendicular?

Answers

Answer:

when two lines are parallel the two slopes are equal (m1 =m2)

when two lines are perpendicular the product of the slopes is equal to -1( m1m2= -1)

m1 =1st slope

m2= 2nd slope

using the formula y= mx +c

m1= -8/9

m2= 9/8

since m1 is not equal to m2 and -8/9 × 9/8 = -1

It is perpendicular

Step-by-step explanation:

PLS MARK BRAINLIEST

Simplify the expression

√4x^2/3y

PLEASE SHOW WORK!!

Answers

Answer:

[tex] \frac{2 \sqrt{3y} \times |x| }{3y} [/tex]

Step-by-step explanation:

[tex] \sqrt{ \frac{ {4x}^{2} }{3y} } [/tex]

[tex] \frac{2 \times |x| }{ \sqrt{3y} } \\ \frac{2 \times |x|}{ \sqrt{3y} } \times \frac{ \sqrt{3y} }{ \sqrt{3y} } \\ \frac{2 \times |x| \times \sqrt{3y} }{ \sqrt{3y} \sqrt{3y} } [/tex]

[tex] \boxed{Answer:{\boxed{\green{= \frac{2 \sqrt{3y} \times |x| }{3y}}}}} [/tex]

help. please ): I'm stuck​

Answers

2^5 / 4

---2 to what power is 4?

2^5 / 2^2

---Remember when dividing terms with exponents, we subtract the exponents

2^3

---All that's left is 2 to the 3rd power, or 2 x 2 x 2

8

a = 2

b = 3

c = 8

Hope this helps!! :)

Answer:

a =2 b=3 c=8

Step-by-step explanation:

it's just multiplying and dividing

what is the square root of 9 and 4

Answers

Answer:

3/2

Step-by-step explanation :

Square root of 9 and 4 is 3/2 because it just is

A REALITY OF RATIONAL ALGEBRAIC EXPRESSIONS​

Answers

Rational equations can be used to solve a variety of problems that involve rates, times and work. Using rational expressions and equations can help you answer questions about how to combine workers or machines to complete a job on schedule.

suppose river has new treats that are 10 calories each. how many of the new treats can she have and remain in her calorie range?

Answers

She can have at least 3 and at most 6 dog treats in a day

River can have - n = 10/y number of treats to remain in her calorie range, where the calorie range is [y] calories.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have the following problem -

River has new treats that are 10 calories each. how many of the new treats can she have and remain in her calorie range.

Assume the calorie range to be [y] calories and assume she can have [n] number of treats. We can write the linear function as -

10n = y

OR

y = 10n

This this the equation of the straight line. She can have -

n = 10/y

number of treats to remain in her calorie range.

Therefore, River can have - n = 10/y number of treats to remain in her calorie range.

To solve more questions on straight lines, visit the link below-

brainly.com/question/29030795

#SPJ2

Using a set of numbers find the mean round to the nearest tenth median mode and range 8,6,3,7,1,6,5,6

Answers

Answer:

Mean 5.3, Median 6, Mode 6, Range 7

Step-by-step explanation:

First we arrange the numbers from smallest to the largest. (When you are done count them to see if you have the same amount of numbers that you had before you arrange them.)

1, 3, 5, 6, 6, 6, 7, 8

Mean: is the average of all the numbers :add all numbers / how many numbers we have

(1+ 3+ 5+ 6+ 6+ 6+ 7+ 8) /8 = 42/8 = 5.25 ≈5.3 (rounded to the nearest tenth)

Median: is average of the 2 numbers that are in the middle 1, 3, 5, 6, 6, 6, 7, 8

(6+6)/2 = 6

Mode: is the number that appears the most so is 6

1, 3, 5, 6, 6, 6, 7, 8

Range: is the difference between the highest and the lowest value

1, 3, 5, 6, 6, 6, 7, 8

8-1 = 7

Answer:

Mean- 42

Median- 6

Mode- 6

Range- 7

Step-by-step explanation:

someone please help me

Answers

Answer:

that's an angle bisector my man

Corresponding Angle is the answer

or
Adam is going on vacation and taking his dog Pickles along. Pickles eats 3 cups of Hungry Hound dog food each day. Adam wants to know how many days he can feed Pickles from a 15-cup bag of Hungry Hound.
Which equation can Adam use to find the number of days d he can feed Pickles from the bag?
Solve this equation for d to find the number of days Adam can feed Pickles.

Answers

Anwser: 5 days
Explanation: 15 divided by 3 equals 5 so he can feed pickles for 5 days from the bag.

Sam works for 6 hours at $10.25 per hour. how much does she earn?

Answers

Answer:

$61.50

Step-by-step explanation:

1h=$10.25

6h=$10.25×6

=$61.50

Answer:

$61.5

Step-by-step explanation:

6t*10.25

= 61.5

Describe how to round set to the best
HELP PLEASE QUICKLY

Answers

Round the number to the nearest ten or hundredth or thousands ex: 177 you would round it to 200

What is the value of the expression 2 to the third power plus 3 over 5 times 5 over 9 minus 4 plus 3.?

Answers

Suffdfudududududhrhehrhdudh

Jon painted 4/5 of his house on Saturday on Sunday he paints 2/3 of what was left how much still needs to be painted

Answers

Answer: Jon has 1/5 left to paint

Please help me with this question.

Answers

Answer is d, you can see the graph touches the x line in the point 5 so the answer is (5,0)

how to write a fraction percent as a decimal such as ⅜%:

write each percent as a decimal.

[tex] \frac{3}{8} \% \: as \: a \: decimal[/tex]


Answers

Answer:

as a decimal,, you just devide 3/8 then multiply by 100 it results to

37.5

Could someone explain to me how to do this? I'd like to know before my test, please!

Find the value of x for which a || b

Answers

Answer:

Since a and b are parallel

Step-by-step explanation:

2x+27=3x - 27

collect the like terms

3x-2x=27+27

x=54

PLS MARK BRAINLIEST

Answer:

x = 54

Step-by-step explanation:

If the lines are treated as parallel , then

(3x - 27) and (2x + 27) are alternate exterior angles and congruent, so

3x - 27 = 2x + 27 ( subtract 2x from both sides )

x - 27 = 27 ( add 27 to both sides )

x = 54

For a and b to be parallel then x = 54

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