an experiment compares the heights of two plants over time. a plant was 2 cm tall at the beginning of the experiment and grew 0.5 centimeters each day. the function f(t)=0.5t+2 represents the height of the plant in centimeters after t days.

The graph shows the height of the second plant, g(t) in centimeters, as a function of time t in days.

Part 1: which plant, f or g, was growing faster?

Part 2: Which plant, f or g, was taller to begin with?

Part 3: Which plant, f or g, was taller after 8 days?

An Experiment Compares The Heights Of Two Plants Over Time. A Plant Was 2 Cm Tall At The Beginning Of

Answers

Answer 1

Answer:

Part 1: plant f

Part 2: plant g

Part 3: plant g

Step-by-step explanation:

✔️First plant:

Function: f(t) = 0.5t + 2

where,

f(t) = height of plant

t = number of days

m = slope/rate of change = 0.5 cm/day

b = y-intercept/initial height = 2 cm

✔️Second Plant: using two points on the graph, (0, 5) and (16, 9), let's find b and m for the function of the second plant.

Slope/rate of change (m) = ∆y/∆x = (9 - 5)/(16 - 0) = 4/16 = 0.25

m = 0.25 cm/day

The y-intercept or initial height is the y-coordinate of the point where the line intercepts the y-axis = 5

b = 5 cm

Towbrute the equation of the function, substitute m = 0.25 and b = 5 into g(t) = mt + b

Thus:

g(t) = 0.25t + 5

Knowing these, let's answer the problem given:

Part 1: plant f was growing faster because it has a greater rate of change/slope (m) of 0.5 cm/day

Part 2: plant g was taller because it has a greater initial value/y-intercept (b) which is 5 cm

Part 3: To find out which plant was taller after 8 days, substitute t = 8 into the equation of each function:

Plant f: f(t) = 0.5t + 2

f(8) = 0.5*8 + 2 = 4 + 2

f(8) = 6 cm

Plant g: f(t) = 0.25t + 5

g(8) = 0.25*8 + 5 = 2 + 5

g(8) = 7 cm

Thus, plant g was taller after 8 days having 7 cm


Related Questions

Create a list of steps, in order, that will solve the following equation. PLEASE HELP WILL GIVE BRAINIEST!!!

Answers

Answer:

Add one to both sides

Multiply both sides by 4

Take the square root of both sides

subtract 5 from both sides

Step-by-step explanation:

A passenger train leaves a railway station at 12:00 pm and travels 3 hours on the Northbound track. A second passenger train leaves the same railway station at 12:45 pm and travels 2 hour and 15 minutes on the Southbound tracks at a speed of 20 kilometers per hour faster than the first train. At 3:00 pm the two trains were 360 kilometers apart. How fast was each train traveling?

Answers

Answer:

63 kilometers per hour for train A and 83 kilometers for train B

Step-by-step explanation:

Same beginning

Train A: 3 hours to NorthTrain B: 2 hours and 15 minutes to South

but train B 20 kilometers per hour faster

15 minutes from 20 kilometers per hours are 5 kilometers

So, train B is 45 kilometers travel more far than train B.

= 360 kilometers - 45 kilometers

= 315 kilometers ÷ 5 hours

= 63 kilometers per hours

Hope it's right><

If the volume of a sphere is 660 mm, what is the radius of the sphere, to the nearest tenth of a millimeter?

Answers

Answer:

Radius= 5.4

Step-by-step explanation:

Formula for Sphere- V= 4/3(pi)• r^3

r=(3 V/4 pi) = (3•660/4•pi)= 5.40114 (5.4)

This is a true or false question but I’m not sure how to solve this problem.

Answers

Answer: yes true or false

Step-by-step explanation: 7 true, 8 true, and 9 false

Find the inflation rate from 1992 to 1993 . Assume that all prices have risen at the same rate as the CPI.
The inflation rate was about
nothing​%.

Answers

69,420

69,420

69,420

69,420

69,420

69,420

69,420

69,420

69,420

69,420

69,420

69,420|

69,420

Two methods are proposed to measure the effectiveness of a brand of sunscreen.

Method A: Survey adults visiting a beach on a busy weekend. Ask each adult which brand of sunscreen they are using, and assess their arms for sun exposure.

Method B: Volunteers are randomly assigned to one of two brands of sunscreen. Each volunteer is asked to report back at the end of the day, and their arms are assessed for sun exposure.

Which statement is a correct interpretation of these methods?

Both methods are experiments because sun exposure is assessed in both methods.
Both methods are observational studies because neither method attempts to influence responses.
Method A is an experiment because it compares many brands of sunscreen, while method B is an observational study.
Method B is an experiment because it randomly assigns volunteers a sunscreen, while method A is an observational study.

Answers

Answer: Method B is an experiment because it randomly assigns volunteers a sunscreen, while method A is an observational study.

Step-by-step explanation:

Based on the information given, we can infer that method A is an observational study. An observational study simply refers to the study whereby the researchers just observe the impact of a rise factor without them trying to change the people or things exposed to it. This can be seen as the survey adults visited the beach on the busy weekend asking each adult the brand of sunscreen that they use and then assess their arms for sun exposure.

Method B is an experiment. An experiment refers to a test that's carried out in order to evaluate a particular hypothesis or theory. Method B is an experiment because it randomly assigns volunteers a sunscreen.

Therefore, the correct option is D.

levi was designing a kite. he needs to determine the measure of

Answers

he needs to determine the measure of the kite?

The measure of angle A is 86.

What is a kite?

A kite is a flying object that is tethered to the ground by a string or a cord. It typically has a light framework of bamboo, plastic, or other materials, covered with paper or fabric, and often in the shape of a diamond or triangle.

We have,

From the figure,

We see that,

6x + 4 + ∠A = 180

Now,

∠A = 4x + 26

So,

6x + 4 + 4x + 26 = 180

10x + 30 = 180

10x = 180 - 30

10x = 150

x = 15

Now,

∠A = 4x + 26 = 4 x 15 + 26 = 60 + 26 = 86

Thus,

The measure of angle A is 86.

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The complete question:

Levi was designing a kite. he needs to determine the measure of angle A.

Please help thanks! I'll make brainliest

Answers

Answer:

48m²

Explanation:

since 3cm represents 4m, the width of the dining hall would be 4m. its length on the drawing is 9cm, which is 3 times of 3cm, so we can also multiply 4m by 3 to find the real length of the dining hall. this would give us 12m.

3cm : 4m

(multiply both by 3)

9cm : 12m

now, we can calculate the area of the dining hall using the equation 12m × 4m = 48m².

i hope this helps! :D

Jeff has a square piece

Answers

Answer:

Interesting statement

Answer:

and then Jeff says "my name a Jeff"

(1 point)
10. A piece of art is in the shape of an equilateral triangle with sides of 21 in. What is the area of
the piece of art to the nearest tenth?
311.8 in.2
381.9 in?
155.9 in.2
191.0 in.2

Answers

Answer:

191.0

Step-by-step explanation:

(NO LINK) Elizabeth has a piece of ribbon that is 6.3 meters long. She wants to cut it into pieces that are 0.3 meters long. How many pieces of ribbon did she have?

please explain

Answers

21 pieces of ribbon

Step-by-step explanation:

6.3/0.3= 21

A hotel restaurant has a 75% customer approval rating for its service. The restaurant has a 60% customer approval rating for its service and its food. What is the probability that a restaurant customer approves of the food if he or she approves of the service?

Answers

The probability that a restaurant customer approves of the food given that they already approved of the service is 0.8, or 80%.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Let's use Bayes' theorem to solve this problem.

= P(approves of food | approves of service)

By Bayes' theorem, we can express this probability in terms of the probabilities of approving of the service and the food separately:

P(approves of food | approves of service) = P(approves of service and food) / P(approves of service)

We know that the overall customer approval rating for the service is 75%, so:

P(approves of service) = 0.75

We also know that the customer approval rating for both the service and the food is 60%, so:

P(approves of service and food) = 0.60

Substituting these values into the formula, we get:

P(approves of food | approves of service) = 0.60 / 0.75

P(approves of food | approves of service) = 0.8

Therefore, the probability that a restaurant customer approves of the food given that they already approved of the service is 0.8, or 80%.

Learn more about probability here:

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These four numbers are plotted on a number line:
3
1
2 5
38
Which is the correct ordering on the number line, from right to left?
1
2
2
3
1
1
2
3
5'
2
3
3
5
8
5
3
2
5
1
2

Answers

Answer:

the correct ordering to the number line it is from left to the right

a rectangle has a height of 5 inches and a area of 35 squared inches what is the length of the base of the rectangle?

Please explain, I dont understand

Answers

Answer:

7 inches

Step-by-step explanation:

Now the area of a rectangle equals to length by width or in this scenario, height by base.

Therefore, we take a look at what we already have.

We got 5 inches for height and 35 squared inches as the area.

h= 5 inches a=35squared inches b=?

*Therefore, 5 x b =35

Through substitution this becomes:

*35/5= b

*Therefore b=7 inches

I WILL AWARD BRAINLIEST !!!!!urgent pls help!!!!!! the width of a pool table is x feet and the length is 3 feet longer than the width. write a polynomial A(x) to represent the area of the pool table. find a (4)

Answers

Answer:

28

Step-by-step explanation:

A(x) = x * (x + 3)

      = x^2 + 3x

A(4) = 4^2 + 3(4)

       = 16 + 12

       = 28

Answer:

a(4)=4^2+3(4)

a(4)=16+12

a(4) =28 ft ^2

please help me , i’m so stuck on this problem

Answers

Answer:

x = 1

y = 9

Step-by-step explanation:

The diagonals of the parallelogram bisect each other. Therefore:

✔️2x + 13 = 15

2x + 13 - 13 = 15 - 13

2x = 2

2x/2 = 2/2

x = 1

✔️5y - 36 = y

5y - 36 - 5y = y - 5y

-36 = -4y

-36/-4 = -4y/-4

9 = y

y = 9

One pizza is $12 and a cake is $18. If Matt has $84, how many pizzas can he buy at most and still afford to buy a cake

Answers

Answer:

5 pizzas

Step-by-step explanation:

So first you subtract 18 so that you know that there is at least one cake.

84 - 18 = 66

When you get 66 dollars remaining, you divide it by 12 to see how many you can afford.

66/12 = 5.5

So because you can’t say you have an additonal amount of money, you would actually round down to 5.

So Matt can buy a total of 5 pizzas and 1 cake.

Answer:

5

Step-by-step explanation:

To find the number of pizzas Matt can buy while still being able to afford a cake set up an inequality. The inequality should look like [tex]84\geq 12x+18[/tex]  where x is the number of pizzas Matt bought. Then, solve the inequality by first subtracting 18 from both sides, [tex]66\geq 12x[/tex]. Next, divide both sides by 12, [tex]5.5\geq x[/tex]. This means that Matt can buy 5 pizzas. At first, it might seem like you should round up; however, if you rounded up at all then Matt could not afford the cake, so you must round down.

What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 2x + 3; f(x) = -2x + 12

Answers

Answer:

Step-by-step explanation:

7. Find the measure of x.

Answers

Answer:

37

Step-by-step explanation:

Here the 2 angles are the same. So

74 = 2x

74/2 = x

x = 37

Answer ;

2x + 74 = 180 2x = 180 - 74 = 106 x = 160/2

( refer the attachment for the division )

hence , x = 53

hope my answer helps you !!

24. Which description describes the solutions to this inequality?
9> 52
A. all the possible numbers that are smaller than twenty-five
B. all the positive numbers that are greater than ten
C. all the positive numbers that are larger than twenty-five
D. all the possible numbers that are smaller than ten

Answers

b hope this helpsss :)))

URGENT PLEASE HELP The perimeter of AJKL is 106. Find the length of
midsegment ST.
J
5x +7
S
3x +3
4x-1
(not drawn to scale)
K
A
17
B
15
16
D
18

Answers

Answer:

16

Step-by-step explanation:

3x+3+3x+3+5x+7+4x-1+4x-1=106

19x+11=106

19x=95

x=5

JL=5(5)+7=32

ST=1/2 of JL = 1/2 of 32 = 16

The length of midsegment ST will be 6. The perimeter of the triangle is given.

What is perimeter?

It's the sum of length of the sides used to make the given figure.

The perimeter of AJKL is 106;

⇒KS+SJ+JL+LT+TK=106

⇒3x+3+3x+3+5x+7+4x-1+4x-1=106

⇒19x+11=106

⇒19x=95

⇒x=5

The side JL is obtained by,x=5

JL=5x+7

JL=5×(5)+7

JL=32

The side ST is obtained

ST=(1/2)×JL

ST= 1/2 of 32

ST = 16

Hence, the length of midsegment ST will be 16.

Learn more about perimeter refer:

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what is the value of the expression below?

5/9 / 1 2/3 x 3 3/5

A: -1 1/5

B: 1 1/5

C:-1/3

D: -3 1/3
No links

Answers

Answer:

B) 6/5 or 1 1/5

Step-by-step explanation:

5/9 ÷ 5/3 × 18/5 = 5/9 × 3/5 × 18/5 = 6/5

Given f(x)=x^2−5x and g(x)=2x+1, find (f+g)(−3).

Answers

Answer:

19  

Use the given functions to set up and simplify

The median and mean scores for a math test are shown.

Which distribution of scores would best account for the difference in the median and mean?

Median Score: 82%

Mean Score: 70%

Answers

Answer:

A? I think

Step-by-step explanation:

Helpppp!!!! ASAP!! Please???!

Answers

Answer:

c 111 mark me

Step-by-step explanation:

and ur welcome lol

Answer:

105

Step-by-step explanation:

if it true i add 65 +40 =105 so yeah

Find the x-intercept and y-intercept for the following equation. Please show all work 4x-3y=24

Answers

Answer:

(6,0) and (0,-8)

Step-by-step explanation:

Substitute a zero for each variable

So 4(0) - 3y = 24 to find the y-int so -3y = 24, y = -8, so y-int is (0,-8)

to find x-int y = 0 so 4x - 3(0) =24   so 4x = 24, so x = 6 so x-int is (6,0)

Find the volume of the cone in terms of pi. A cone with a radius of 5 feet and a height of 12 feet.

Answers

Answer:

V = [tex]\pi[/tex]r^2 x height

Step-by-step explanation:

Question:-

Find the volume of the cone in terms of π. A cone with a radius of 5 feet and a height of 12 feet.

Answer:-

Given:-

Radius (r) of the cone = 5 feet.

Height (h) of the cone = 12 feet.

To Find:-

The volume of the cone.

Solution:-

We know,

Formula of Volume of Cone is [tex] \frac{1}{3} [/tex]πr²h

Volume of the cone = [tex] \frac{1}{3} [/tex]× π × (5)² × 12

Volume of the cone = [tex] \frac{1}{3} [/tex]× π × 5 × 5 × 12

Volume of the cone = [tex] \frac{\pi \: × \: 5 \: × \: 5 \: × \: 12}{3} [/tex]

Volume of the cone = [tex] \frac{300\pi}{3} [/tex]

Volume of the cone = 100π in³

Volume of the cone is 100π in³.

Hence, option (d) 100π in³ is correct. [Answer]

Drag each expression to the correct location on the table.
e each algebraic expressions next to its corresponding verbal description.

Answers

Answer:

5 times the cube of x divided by 4 times x answer is the first one from the left 5x³-4/x. the quotient of the difference of 5 times x cubed and 4 and x the answers is 5x³-4x/ the third one from the right. the cube of the difference of 5 times x and 4 the answer is the middle one

plssss help can i have a discord and call me plssss ​

Answers

Answer:

1/24

Step-by-step explanation:

SHAWTYYY THIRSTY

Answer:

21/24-20/24=1/24

Step-by-step explanation:

Make the denominators same by multiplying the fraction with a number that will make the denominators equal i.e 3 for first fraction and 4 for the second fraction.

The median of these numbers is
how much less than the mean?
1.5, 0.6, 0.7, 0.85, 5.3

Answers

Answer:

The median of the numbers is 3.66 less than the mean

Step-by-step explanation:

To find the median, find the middle of the numbers

0.6, 0.7, 0.85, 1.5, 5.4

To find the mean, add all the numbers and divide by the number of numbers

0.6 + 0.7 + 0.85 + 15 + 5.4 = 22.55

22.55/5 = 4.51

To find how less, subtract the median from the mean

4.51 - 0.85 = 3.66

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