To train for an upcoming marathon, Susie plans to run 2 miles per day the first week and then increase the daily distance by a half a mile each of the following weeks.

There are many ways to approach this problem.




Week Miles

1 2

2 2.5

3 3

4 3.5

5 4

6 4.5


Write an equation to represent the nth term of the sequence.

Answers

Answer 1

Answer:

f(x)= .5x + 2

Step-by-step explanation:

Now this is not to complicated

first the constant is 2

after each day she gains .5 miles

Answer 2

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation to represent the nth term of the sequence is y=0.5x+2.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

Let the distance travelled by Susie in any week,x be represented by y.

Given that Susie will run 2 miles in the initial or in the first week. Therefore, the distance for the initial work week will be,

Initial distance =  y-intercept = c = 2

Further, if the daily distance is increased by half a mile each of the following weeks. Therefore, the slope of the equation is the change in the distance, therefore, we can write,

Slope, m = Change in the distance = 0.5

Now, if the equation represents the nth term of the sequence, then we can write,

y = mx + c

y = 0.5x + 2

Hence, the equation to represent the nth term of the sequence is y=0.5x+2.

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Related Questions

Find the area of a trapezoid with height h and bases b1 and b2.

h=6 in.

b1=9 in.

b2=11 in.

Answers

The answer is the following

9+11 = 20
20/2 = 10
10 x 6 = 60

the smiths want to fence their square garden, which has an area 256 square meters.

Questions 4, 5 and 6
PLEASE I NEED THIS ASAP

Answers

The answer s=16 answer 48

In this diagram, lines AC and DE are parallel and line DC is perpendicular to each of them. What is a reasonable estimate for the length of side DE

Answers

The reasonable estimate for the length of side DE is 3 units

Find the diagram of the question attached. The given triangle ABC and BDE are similar triangles.

Using the similarity theorem of a triangle, this is expressed as:

AC = DE

Using the pythagoras theorem to get the length of AC:

AB^2 = AC^2 + BC^2

5^2 + AC^2 + 4^2

AC^2 = 25 - 16

AC^2 = 9

AC= 3

Since AC = DE, hence the reasonable estimate for the length of side DE is 3 units

Learn more on similar shapes here: https://brainly.com/question/14285697

Answer:

5/3

Step-by-step explanation:

The first term of an arithmetic sequence is 4 and the tenth term is 67.
What is the common difference? Show your work or explain your answer.

Answers

Answer:

Step-by-step explanation:

Formula

tn = a1 + (n-1)* d

Givens

tn = 67 (it is the last term or the nth term

n = 10

a1 = 4

find d

Solution

67 = 4 + (10 - 1)*d

67 = 4 + 9*d               Subtract 4 from both sides

67 - 4 = 9d            

63 = 9d                      Divide by 9

63/9 = 9d/9              

7  = d

Remark: This is a fundamental application of the arithmetic sequence. You pretty much have to know how to juggle it's parts.

I need help with this and show your work.

Answers

Answer:

Step-by-step explanation:

Determine which climbed at a constant rate

A constant rate would produce a straight line.  The slope is the same for all the data for that climber.  We can either calculate the slope between the first and last intervals and see if the slope changes.  Or we can graph the points, which I chose to do.  See the attachment.

Note that Joe's rate is not constant.  It appears as though he's wearing down.  Both Zas and Stephon have constant slopes, so their climbing rates are constant over the period measured.

The slope is the climbing rate:

Joe:           Not Constant

Zas:            2.5 feet/sec

Stephon:     4.0 feet/sec

Time to Reach 30 feet

Joe:           Unknown - he's slowing down at an unpredictable rate.

For Zas and Stephen, use their slopes in the expression:

Use m for slope (ft/sec):  y = m(t) where t is time in seconds

Zas:            2.5 feet/sec:  y = 2.5(t)  Time to reach 30 is 30/2.5 or 12 sec.

Stephon:     4.0 feet/sec:  y = 4.0(t)  Time to reach 30 is 30/4.0 or 7.5 sec.

Help help help help math

Answers

F(-1)=-3(-1)+3
F(-1)= 3+3
F(-1)=6

6. Kiara's father is paying for a $40 meal. He has a 20%-off coupon for the meal. After the discount, a 6% sales tax is applied. What does Kiara's father pay for the meal? Explain or show your reasoning.

Answers

Answer:

33.92

Step-by-step explanation:

40 x .2= 8

40-8= 32

32x.06=1.92

32+1.92= 33.92

If f(x) = â’2 8, what is f(â’1. 8)? 4 6 10 12.

Answers

Answer:

f(x) = [x] - 2 + 8

[x] is the notation for 'greatest integer function'

f(-1.8) = [-1.8] - 2 + 8 = -2 -2 + 8 = 4

The answer is 4

Step-by-step explanation:

The value of the function  f(x) = [x] - 2 + 8 when x = -1.8 is 12

Given the function f(x) =[x] - 2 + 8, we need to find f(-1.8)

To get the value of f(-1.8), we will simply substitute x = -1.8 into the function to have:

f(-1.8) = -1.8 - 2 + 8

f(-1.8) = -3.8 + 8

f(-1.8) = 11.8

Since x is in a square bracket, we will round the value up to the nearest whole number, hence;

f(-1.8) = 12

Therefore the value of the function  f(x) = [x] - 2 + 8 when x = -1.8 is 12

Learn more on functions here; https://brainly.com/question/10439235

Name the Marked angle in 2 different ways.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER!!!!

Answers

Answer:

<NLO and <OLN

Step-by-step explanation:

These two angle names are the same. the letters are simply reversed. it's like saying 1+2=3 and 2+1=3. the same. only reversed but still fluent in simplicity.

how many liters of a 30% antifreeze solution need to be added to 10 L of a 57% antifreeze solution to get 50% antifreeze solution. round to two decimal places.

Answers

50% decimal places hope it helps

Part A. Jasmine wanted to cut some ribbon into 4 pieces, each 3 2/5 feet long. How big a piece of ribbon did she need to start with?
Part B. When she went to the fabric store, they only had enough ribbon for her to make 2 1/2 pieces that were as long as she wanted. How much ribbon did the fabric store have?

Answers

Answer:

pa answer din po please!!

A 17 ft ladder leans against the side of a house. The top of the ladder is 14 ft off the ground. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.

Answers

Answer:

55.4

Step-by-step explanation:

Think of it as a right angled triangle, the length of the ladder (17ft) is the hypotenuse, the length of the ground (14ft) is the rise, we then use sin to get the angle as the angle of elevation is the angle between the ladder and the ground hence sin^-1 (14/17) and you get your angle.

solve pls brainliest


How can I use the scale factor to determine if a picture is an enlargement?

Answers

Answer:

You can use the scale factor to determine if a picture is an enlargement if the scale factor is greater than 1. If it is less than 1 like 0.9 then the picture would be a reduction because you would be multiplying the number by a number smaller than 1. Now if we have a scale factor greater than 1 let's say 3. Then the picture would be an enlargement because the number is greater than 1.

Step-by-step explanation:

Will give BRAINLIEST

Answers

Answer:

Point B is

Step-by-step explanation:

Answer:

B (-2,-4)

Step-by-step explanation:

The number of ounces in an unknown number of pounds. Let z= the variable.

Answers

Answer:

16z

Step-by-step explanation:

z = the unknown number of pounds

16 ounces in 1 pound.

So  z pounds =  16z    

or   it can be given as a proportion;

[tex]\frac{16 ounces}{1 pound} (z)[/tex]

pls answer quickly

A pool charges $7 for 2 daily pool passes. Which table could represent the situation?​

Answers

Answer: B

Step-by-step explanation: This answer can be found by just doing process of elimination. A has the numbers switched around, C and D has 2 adding by ones and 7 multipying. Mathmaticlly finding the answer for B, 2 is multiplying my 2, 3 and 4. First, you have 4, then you have 6, and last you have 8. 7 is doing the same thing. 7 multiplied by 2 gives you 14, by 3 gives you 21 and by 4 gives you 28.

In triangle ABC, D is the midpoint of side AB and E is the midpoint of side BC. The area of triangle ABC is 56 square units. Find the number of square units in the area of triangle DBE.

Answers

Answer:

YourMom Not Cool

Step-by-step explanation:

yourMom is not cool

STOP CHEATING AND TRYING TO SEE ANSWER

Answer:

5

Step-by-step explanation:

Layla has 5.49 pounds of wood she divides it into 7
so basically 5.49÷7

Answers

Answer:

0.7842857142857143

Step-by-step explanation: i would right an explanation but i cant put it all so you will just have to trust me

Plz help me thx

Simplify pt2:

Answers

Answer:

π - [tex]\sqrt{17}[/tex]

Step-by-step explanation:

note that [tex]\sqrt{x^2}[/tex] = x

Given

[tex]\sqrt{(\pi -\sqrt{17})^2 }[/tex]

= π - [tex]\sqrt{17}[/tex]

Which of the following is equal to [(x2y3)-2/(x6y3x)2]3 ?

Answers

Answer:

a=√x3y5 or a=−√x3y5

Step-by-step explanation:

Answer:

A, B & D

Step-by-step explanation:

Just did it on Edge

Zoom if you have to see more clearly ! Answer #4 , #5 , & #6 for me !! Show proof for all please ! I'll be giving brainliest and report wrong answers or answers that are correct but no proof !​

Answers

Answer:

N/A; 32; -8

Step-by-step explanation:

4) You have to graph this equation... basically pick two points on the line and connect them. I'd do (0,4) and (4,1) because they're the easiest

5) Just plug -2 into the equation! -3x³+2x², so when you substitute x for -2, you get -3*(-2)³+2*(-2)²=-3*(-8)+2*4=24+8=32

6) -6m+6+6=4-7m, so m=-8

Find the equation of the line.
y=[ ]x +[ ]​

Answers

the equation for the line that passes through the points (0,-3) and (6,0) is y=1/2x-3

Triangle HAM is reflected over the y-axis using the rule (x, y) → (−x, y) to create triangle H′A′M′. If a line segment is drawn from point A to point A′, which statement would best describe the line segment drawn in relation to the y-axis?

They create concentric circles.
They are parallel to each other.
The y-axis is a bisector of the segment drawn.
The segment drawn and the y-axis are congruent to each other.

Answers

The statement that best describes the line segment drawn in relation to the y-axis is (c) the y-axis is a bisector of the segment drawn.

The transformation rule is given as:

[tex](x,y) \to (-x,y)[/tex]

When the triangle is reflected to form triangle H'A'M', the vertices of triangle H'A'M' would be:

[tex]H'A'M' = (-x,y)[/tex]

So, the distance from point A to the y-axis is equidistant to the distance from point A' to the y-axis.

This, in other words means that the y-axis bisects the line segment AA'.

Hence, the relation between the segment and the y-axis is (c)

Read more about reflection at:

https://brainly.com/question/1600006

Answer:

C. The y-axis is a bisector of the segment drawn.

Step-by-step explanation:

Hey yall I need help on this question pls give explanation

Answers

Answer:

0.5 liters

Step-by-step explanation:

If they were to get 0.25 then they would still be missing some more for the recipe. If they get 0.5 then they would have just a tad bit leftover. Less than 0.027 liters. Which is the smallest amount that they can have left over. 1liter and 1.5liters are over twice the amount of the recipe. So that wouldn't be a wise choice unless they wanted to make double or triple the recipe.

Answer:

The answer is 0.5 liter

Step-by-step explanation:

Because 0.25 liter ÷ 0.5 liter = 0.5 liter

Please help me I'm literally gonna cry
How many

How many 3/5 -pound bags of apples are in 3 pounds of apples?

___ bags ( btw the answer is not 0.2)

Answers

Answer:

5 bags, each containing 3/5 pounds of apples

Step-by-step explanation:

3 ÷ 3/5 = 3 x 5/3 = 5

what is the area of the rectangle. ​

Answers

Answer:

54 units^2

Step-by-step explanation:

Is the relation below a function? If it is a function, state its domain.
{ (-2, 3) , (-2, -3) , (8, 1) , (3, 3)}

Answers

Answer:

not a function. domain = -2, 3, 8 (you don't have to write them in any specific order and you also don't need to write -2 twice)

Step-by-step explanation:

to be a function, all of the x's must be different

Someone helppppppp. I swear I will cry for the rest of my life ;-;

Answers

3

Pentagon PQRST is 1/2 the size of ABCDE therefore, x = 3

Answer: there is no x so i can't answer it

Step-by-step explanation:

HELLPPP
I need help asappp

Answers

Answer:

(8,5)

Step-by-step explanation:

x=8

5*8-2y=30

40-2y=30 .      subtract 40 from both sides

-2y=-10 .           divide both sides by-2

y=5

Geometry please help

Answers

Answer:

  x = 2.5

Step-by-step explanation:

The sum of the exterior angles of a convex polygon is 360°.

  120° +55° +65° +40° +(32x)° = 360°

  32x = 80 . . . . . divide by °, subtract 280

  x = 2.5 . . . . . . divide by 32

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