A botanist collected data on the growth of sunflowers to maturity. She modeled the equation y=x+1/2 for the line of best fit

Answers

Answer 1

Answer:

The y intercept is 1/2

i.e. The starting height is 1/2

Step-by-step explanation:

Given

[tex]y =x + \frac{1}{2}[/tex]

Required

Determine the y intercept --- Missing

At y intercept: [tex]x = 0[/tex]

So:

[tex]y =x + \frac{1}{2}[/tex]

Substitute [tex]x = 0[/tex]

[tex]y = 0 + \frac{1}{2}[/tex]

[tex]y = \frac{1}{2}[/tex]

The y intercept is 1/2


Related Questions

Suzanne can put up 20 feet of fencing in 64 minutes. How many minutes will it take her to put up 35 feet of fencing?

Answers

Answer:

112 minutes

Step-by-step explanation:

Suzanne can put up 20 feet of fencing in 64 minutes.

We need to find minutes it will take to put up 35 feet of fencing.

20 feet = 64 minutes

1 feet = (64/20) minutes

For 35 feet,

[tex]35\ feet=\dfrac{64}{20}\times 35\\\\=112\ minutes[/tex]

So, it will take 112 minutes to put up 35 feet of fencing.

Baba Yaga lost her broom somewhere between her hut and Bald Mountain, and wants to get it back. She calculates that with a tailwind of 2 km/h, she can fly from her hut to Bald Mountain in 6 hours. Baba Yaga starts her trip, finds her broom 40 km before Bald Mountain, and turns around and flies home. The entire journey takes 9 hours. Find the speed Baba Yaga flies in quiet weather (with no tailwind or headwind).

Answers

Answer:

The speed with which Baba Yaga flies in quiet weather (with no tailwind or headwind) is approximately 2.9 km/h

Step-by-step explanation:

In the question, we have;

The speed of the tailwind = 2 km/h

The time it takes Baba Yaga to the Bald Mountain = 6 hours

The location where Baba Yaga finds her broom = 40 km before Bald Mountain

The duration of the entire journey = 9 hours

Let 'v' represent the speed with which Baba Yaga flies in quiet weather (with no tailwind or headwind), we get;

(v + 2) × t = (v - 2) × (t - 9)

v·t + 2·t = v·t - 9·v - 2·t + 18

2·t = 18 - 9·v - 2·t

4·t = 18 - 9·v

t = 4.5 - 2.25·v

(v + 2) × 6 = (v - 2) × (t - 9) + 40

6·v + 12 = (v - 2) × (4.5 - 2.25·v - 9) + 40

6·v + 12 = (v - 2) × (-2.25·v - 4.5) + 40

With a graphing calculator, we have;

6·v + 12 + 2.5·v² - 0.5·v - 9 - 40 = 0

5·v² + 11·v - 74 = 0

Using the quadratic formula

v = (-11 ± √(11² - 4·5×(-74)))/(2·5)

v ≈ 2.9, or v ≈ -5.1

Therefore;

The speed with which Baba Yaga flies in quiet weather (with no tailwind or headwind), v ≈ 2.9 km/h

Answer this if you're Smart!!!
1+1x(13-1x15)+123x(23/4)=

Answers

Answer:

706.25

Step-by-step explanation:

well i be smart my friend XD

1 + 1 (13 - 1 * 15) + 123 (23 / 4)

1 + 1 * - 2 + 123 x 5.75

1 - 2 + 707.25

-1 + 707.25

706.25

Answer:

Step-by-step explanation:

1 × 1(13 - 1 × 15) + 123 × (23/4) = 1 × 1(13 - 15) + 123 × (23/4)

= 1 × 1(-2) + 123 × (23/4)

= 1 × (-2) + 123 × (23/4)

= 1 × (-2) + 123 × (5.75)

= -2 + 123 × (5.75)

= -2 + 707.25

= 705.25

The slope of the tangent to a curve at any point (x, y) on the curve is negative x divided by y . Find the equation of the curve if the point (2, -2) is on the curve.

x + y = 0
x^2 - y^2 = -2
x^2 + y^2 = 16
x^2 + y^2 = 8

Answers

Answer:

.

Step-by-step explanation:

.

Answer:

i belive its x^2 + y^2 = 8

Step-by-step explanation:

Bethany purchased gasoline at four different gas stations. The table shows the total cost of the gasoline she
purchased at each station.
Cost of Gasoline
Gas Station
Number of
Gallons
Total Cost
(dollars)
w
10
30.38
х
17
52.36
Y
16
48.48
z
19
57.95
At which gas station was the cost per gallon of gasoline the highest?

Answers

Answer: station X

Step-by-step explanation:

Because it was 3.08 the rest were lower

Answer:

Answer: station X

Step-by-step explanation: I got it right on the test i know im right.

A store sells boxes of crayons. The boxes come in two sizes. A small box holds 12 crayons. A large box holds 38 crayons. In one day, the store sold 18 small boxes and 32 large boxes of crayons.

Which answer is the most reasonable estimate of the total number of crayons the store sold that day?


500 crayons because 10 × 30 + 20 × 10 = 500

1,000 crayons because 10 × 10 + 30 × 30 = 1,000

1,100 crayons because 40 × 20 + 10 × 30 = 1,100

1,400 crayons because 10 × 20 + 40 × 30 = 1,400

Answers

Answer:

500

Step-by-step explanation:

10x30

Answer:

1,400 crayons because 10 × 20 + 40 × 30 = 1,400

Step-by-step explanation:

you basically just estimate

Lin opened a lemonade stand during the summer. She
noticed that she sold more lemonade on warmer days.
For each day she sold lemonade, she plotted the point
(t,c), where t represents high temperature and c
represents cups of lemonade sold.
b. A computer program found that the line c= 2t - 89
is a good fit for the data. Use this equation to predict
how many cups of lemonade Lin might sell on a day
when the high temperature is 74 degrees.
Use the sketch pad to show or explain your thinking.

Answers

Answer:

3

Step-by-step explanation:

The slope of the line below is-2. Which of the following is the point-slope
form of the line?
10-
10
10
(4-8)
10-
A. y + 8 = -2(x-4)
B. y - 8 = -2(x + 4)
c. y - 4 = -2(x+8)
a
D. y+ 4 = -2(x-8)

Answers

Answer:

A

Step-by-step explanation:

y-y1 = m(x-x1)

At an amusement park 40%of the tickets were sold in the 1st hour if 800 tickets were sold in an hour how many tickets were sold in a day

Answers

Answer:

40% = 0.40

800 / 0.40 = 2000 total tickets were sold

Step-by-step explanation:

find the slope and a point on the line for the lines with the following equation y - 9 = -3/4(x + 4)

Answers

Answer:

Slope is -3/4 the y-intercept is (0,6)

Step-by-step explanation:

will you please tell me what the answer is

Answers

Answer:

Ummm idek       L O LLLLLL

Step-by-step explanation:

anyone would like to help me out ??

Answers

Answer: 1

Step-by-step explanation:

The slope of a line perpendicular to x+y=5 is 1

Jack correctly wrote another expression, 100−2t 100 - 2 t , to find the number of tickets Kate has now. Use the drop-down menus to explain what each part of Kate's and Jack's expressions mean.

Answers

Complete question :

Kate had 50 tickets to use for rides at the fair. She lost some of them. Her dad doubled the tickets she had left. Kate wrote the expression 2(50−t) to find the number of tickets she has now, where t t is the number of tickets she lost. Jack correctly wrote another expression, 100−2t, to find the number of tickets Kate has now. Use the drop-down menus to explain what each part of Kate's and Jack's expressions mean.

Answer:

50 means Kate's initial number of tickets

t = number of tickets she lost

2 = multiple by which her dad gave ; two times the number of her remaining tickets.

100 = double the number of initial tickets

2t = two times the number of tickets lost

Step-by-step explanation:

Kate's expression :

2(50 - t)

50 means Kate's initial number of tickets

t = number of tickets she lost

2 = multiple by which her dad gave ; two times the number of her remaining tickets.

Jack's expression:

100 - 2t

Jack's expression is an expanded for of Kate's equation

100 = double the number of initial tickets

2t = two times the number of tickets lost

2(50 - t) :

(2 * 50) - (2 * t)

100 - 2t

Jonas wants to paint the walls of his bedroom and the
ceiling. The dimensions of his room are 7 feet by 12 feet
by 8 feet
What statements about calculating the surface area of
the walls to be painted are correct? Select all that
apply.
Include the areas of all six faces.
Include the areas of five faces.
7 ft
Include the areas of four faces.
The surface area that will be painted is 376 ft?.
The surface area that will be painted is 472 ft2.
8 ft
12 ft

Answers

Answer:

Include the areas of five faces.

The surface area that will be painted is 376 ft2.

Step-by-step explanation:

Answer:

Include the areas of five faces

The surface area that will be painted is 376 ft2.

2 and 4

Order the steps to solve the equation log(x2 - 15) = log(2x) form 1 to 5.
x² – 2x - 15=0
Potential solutions are -3 and 5
x² – 15 = 2x
X-5 = 0 or x + 3 = 0
(x - 5)(x + 3) = 0

Answers

step 1: x²-15=2x
step 2: x²-2x-15=0
step 3: (x-5)(x+3)=0
step 4: x-5=0 or x+3=0
step 5: x=5 of x=-3

Answer:

Took L for my gang   keep working hard

Step-by-step explanation:

Zach wants to buy a skateboard that costs $85. He currently has $15 saved. Zach plans to save d, dollars to have enough to buy the skateboard. Which equation represents the amount of money Zach still needs to buy the skateboard? *

Answers

Answer:

85 = 15 + d

d = 70

Step-by-step explanation:

Cost of a skateboard = $85

Zach savings = $15

Amount needed more to save = $d

Which equation represents the amount of money Zach still needs to buy the skateboard?

Total cost = available savings + more savings

85 = 15 + d

85 - 15 = d

70 = d

d = 70

I AM BEGGING, PLEASE HELP ME. CAN SOMEONE PLEASE HELP ME!

I NEED IT QUICK:
WHAT IS THE VALUE OF X - YOU DONT HAVE TO EXPLAIN YOUR ANSWER I JUST NEED THE VALUE OF X

Answers

Answer:

37.5

Step-by-step explanation:

180-75 = 105

180 is the sum of all the angle in a triangle

180-105 = 75

75/2 = x becuz the triangle is icoceles

=37/5

Hope this helps :) Giving me brainiest would help a lot :))

help please quick! show work please.
Use the area to find the value of x:

Answers

Answer:

Step 1:divide

276/12=23

Step 2:

answer it!

Step-by-step explanation:

Your answer is 23. Divide the sf by the ft then you get x.

Answer: 23 ft

Step-by-step explanation: If you divide 276 by 12 your answer will be 23 ft.

How many times will a circle's diameter fit around that circle?​

Answers

3 times

Step-by-step explanation:

You put $200 into an account earning 6% interest compounded yearly.
Write a rule to model the situation. Your answer should not include spaces and be formatted like: y=3(4)^x


Based on your equation, when will the account be worth $2500? Round your answer to the nearest hundredths place and do not include labels. Ex. 3.14

Answers

Answer:

y = 200(1.06)^x

Step-by-step explanation:

Given:

Initial amount = 200Interest rate = 6% or 0.06 timesNumber of compounds = 1Number of years = x

Final amount is:

y = 200(1 + 0.06)^x ⇒y = 200(1.06)^x

Find the value of x in the triangle shown below.

23°
48°

Answers

It would be 109 because every triangle adds up to 180

The value of x in the triangle shown is 68.

What is a triangle?

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

We are Given triangle is an isoceles 56=56

Thus, the sum of angles of triangle is 180.

X+56+56=180

X=180-112

X=68

Therefore, the value is X is 68.

Learn more about a  angle;

https://brainly.com/question/7116550

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The exponential function h, whose graph is given below, can be written as h(x) = a•b^x


Complete the equation for h(x).


Answers

Answer:

1,6

Step-by-step explanation:

1,6 thats how

(x^7 + 3x^6 - x^2 + 4) + (3x^7 - x^4 + 3x^2 - 9) add

Answers

4x^7 + 3x^6 - x^4 + 3x^2 - 5

Answer:

4x^7 + 3x^6 - x^4 + 2x^2 - 5

PLEASE SHOW WORK AND EXPLAIN IM AM VERY CONFUSED ASAP WILL GIVE BRAINLIEST 10 MINUTES TILL ITS DUE

Answers

Answer:

b

Step-by-step explanation:

let y = f(x) and rearrange making x the subject , that is

y = 4x + 3 (subtract 3 from both sides )

y - 3 = 4x ( divide both sides by 4 )

[tex]\frac{y-3}{4}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-3}{4}[/tex] → b

5 Discuss FIVE important steps relating to career decision making​

Answers

Identify what you are good at,
Subjects you are good in,
Types of careers that are in the job market
Salary of that certain career
And the type of working environment that you want to work in e.g indoors or outdoors

Plz mark as brainleast plzzz

Solve each inequality and graph the solution. 1. 5w ≥ –6w + 11
2. 7h + 4 > 5 – 5h

Answers

Snjcjcjdnsmkdkjbdndks

Ahmad went on a bicycle tour. In the first two hours , he averaged 12 km/h; but in the next three hours he averaged 8 km/h;. A)Calculate the total distance covered b) , calculate his average speed for the whole journey

Answers

Answer: See explanation

Step-by-step explanation:

We are informed that Ahmad averaged 12 km/h in the first 2 hours. Total distance for the first 2 hours = 12km × 2 = 24km.

In the next three hours he averaged 8 km/h. The total distance for the next 3 hours = 8km × 3 = 24 km

A) Calculate the total distance covered.

This will be the distance covered for the 5 hours. This will be:

= 24km + 24km

B. Calculate his average speed for the whole journey.

This will be:

= Total distance covered / Total time taken

= 48km / 5

= 9.6 km/hour

A spinner has 4 equal sections makes blue, green, yellow blue. Spinner points to blue 68 out of 100 spins. If the spinner is spun 50 more times , how many times would you expect the pointer to land blue?

Answers

Answer

30

Step-by-step explanation:

find the nth term - 8,14,20,26

Answers

The ninth term is 20

Write an equation for each line. A graph. Line k. Line m. Line p. Line r.

Answers

Answer:

line k:  y = x + 4

line m:  y = -2x + 4

line p:  y = -6

line r:  x = 1

Step-by-step explanation:

The equation for each line considering the graph is line k:  y = x + 4, line m:  y = -2x + 4, line p:  y = -6, line r:  x = 1

What is a line?

An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.

Calculate the slopes of the lines as shown below,

[tex]m = y_2 - y_1 / x_2 - x_1[/tex]

For line k, m = 0 - (-4) / -4 -0

m = -1

Thus, the equation of a line having slope -1 and coordinates (0, 4) can be written as,

[tex]y-y_1 = m(x- x_1 )[/tex]

y - 4 = -1(x-0)

y -4 = -x

y = -x + 4

Similarly, write the equation for lines m, p, and r,

line m:  y = -2x + 4

line p:  y = -6

line r:  x = 1

To know more about the line:

https://brainly.com/question/2696693

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