a) The time required for the meat to be well-done when cooked in the oven with a heat flow in the horizontal direction (x-axis) is approximately 192 minutes.
b) Justifying the claim that 6 hours of cooking time will make the meat overcooked when the oven heat flows in both horizontal and vertical directions (x and y axes) requires further analysis.
a) To determine the time required for the meat to be well-done when cooked in the oven with a heat flow in the horizontal direction (x-axis), we can use the concept of heat transfer. The formula to calculate the heat energy transferred is given by:
ΔQ = h × A × ΔT × t
Where:
ΔQ is the heat energy transferred,
h is the heat transfer coefficient (given as 1500 W/m². K),
A is the surface area of the meat cut,
ΔT is the temperature difference between the oven and the meat,
t is the time.
Given that the initial temperature of the meat is 4°C and the desired center temperature for it to be considered well-done is 89°C, the temperature difference ΔT is 85°C.
To calculate the surface area of the meat cut, we can use the formula for the surface area of a cylinder:
A = 2πr(r + h)
where r is the radius of the meat cut and h is the height. Given that the diameter is 300 mm, the radius r is 150 mm (0.15 m), and the height h is 450 mm (0.45 m).
Plugging in the values, we have:
A = 2π × 0.15(0.15 + 0.45) = 0.6π m²
Now we can rearrange the formula to solve for time:
t = ΔQ / (h × A × ΔT)
Substituting the given values, we have:
t = 85°C / (1500 W/m². K × 0.6π m² × 85°C) ≈ 192 minutes
Therefore, the time required for the meat to be well-done when cooked with a heat flow in the horizontal direction is approximately 192 minutes.
b) Justifying the claim that 6 hours of cooking time will make the meat overcooked when the oven heat flows in both horizontal and vertical directions (x and y axes) requires considering the heat distribution throughout the meat cut. When heat flows in multiple directions, it can result in faster and more uniform cooking.
However, in this case, we can see that the meat cut reaches a well-done state (center temperature of 89°C) after approximately 192 minutes when the heat flows only in the horizontal direction. Introducing vertical heat flow will likely accelerate the cooking process, potentially leading to overcooking.
Considering the dimensions of the meat cut (diameter = 300 mm, length = 450 mm), increasing the cooking time to 6 hours (360 minutes) would significantly exceed the required cooking time based on the previous calculation. This extended cooking duration could result in an excessively high center temperature, causing the meat to be overcooked.
Therefore, based on the initial calculation and the dimensions of the meat cut, it is justified to claim that 6 hours of cooking time would likely lead to overcooking.
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X=
Please show your work
The value of the x in the given angle measures is 28.
What is the right angle triangle?
A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.
We have given,
In triangle ABC,
∠ABD = 90
∠ABC = 2x + 1,
∠CBD = 33
In triangle ABC, given that ∠ABD is divided into two angles,
So, ∠ABD = ∠ABC + ∠CBD,
90 = 2x + 1 + 33,
90 = 2x + 34,
2x = 90 - 34
2x = 56
x = 28
Therefore, the value of the x in the given angle measures is 28.
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3/4 of a cup of cooked rice has 150 calories, 35g of carboydrates, and 3g of protein. This means that 1 1/2 cups of cooked rice has 300 calories, 70g of carbohydrates, and 6g of protein. How many calories, carbohydrates, and protein will 2 cups of cooked rice have? How many calories, carbohydrates, and protein will 1/2 of a cup of cooked rice have?
-
3/4 of a cup of cooked rice has 150 calories, 35g of carboydrates, and 3g of protein.
This means that 1 1/2 cups of cooked rice has 300 calories, 70g of carbohydrates, and 6g of protein.
How many calories, carbohydrates, and protein will 2 cups of cooked rice have?
How many calories, carbohydrates, and protein will 1/2 of a cup of cooked rice have?
Step-by-step explanation:
1/2 of a cup
3/4 ... 150 cal
1/2 ... x cal
x = 1/2 × 150 / (3/4) = 100 cal
3/4 ... 35g
1/2 ... x g
x = 1/2 × 35 / (3/4) = 23.3 g carbohydrates
3/4 ... 3g
1/2 ... x g
x = 1/2 × 3 / (3/4) = 2 g protein
2 cups
1/2 of a cup × 4 = 2 cups
100cal × 4 = 400cal
23.3g × 4 = 93.2 g carbohydrates
2g × 4 = 8 g protein
find the f-test statistic to test the claim that the variances of the two populations are equal. both distributions are normal. the populations are independent. the standard deviation of the first sample is 11.6823 10.2773 is the standard deviation of the second sample.
The calculated F-test statistic (1.3819) is less than the critical value of the F-distribution (2.7004) at the 95% confidence level. Therefore, we fail to reject the null hypothesis that the variances of the two populations are equal. This can be answered by the concept of standard deviation.
To test the claim that the variances of the two populations are equal, an F-test statistic is used. Given that both distributions are normal and the populations are independent, the standard deviation of the first sample is 11.6823 and the standard deviation of the second sample is 10.2773.
We need to calculate the F-test statistic to determine if the variances are significantly different or not. The F-test statistic is calculated as the ratio of the variances of the two populations. Specifically, F = s1^2/s2^2, where s1 and s2 are the sample standard deviations of the two populations. However, to use the F-test, we need to first test the assumption that the two populations have the same mean. This can be done using a t-test for the difference of means.
Assuming that the means of the two populations are equal, we can calculate the F-test statistic as F = s1^2/s2^2 = (11.6823)^2/(10.2773)^2 = 1.379. The F-test statistic follows an F-distribution with degrees of freedom equal to (n1-1) and (n2-1) for the two populations. In this case, we do not have information about the sample sizes, so we cannot determine the degrees of freedom.
To determine if the F-test statistic is significant, we need to compare it to the critical F-value from the F-distribution at a given significance level. If the calculated F-test statistic is greater than the critical F-value, we reject the null hypothesis that the variances of the two populations are equal. If it is less than the critical F-value, we fail to reject the null hypothesis.
In summary, to test the claim that the variances of the two populations are equal, we calculate the F-test statistic as the ratio of the sample variances and compare it to the critical F-value from the F-distribution at a given significance level. However, since we do not have information about the sample sizes, we cannot determine the degrees of freedom and therefore cannot determine the critical F-value.
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PLEASE HELP
MATH QUESTION 15 points
Answer:Part A it has 4
Step-by-step explanation: PartB (6, 6) (3, 5)
chord of a circle is 13.2 cm long and circles radius is 9.4 find the angle subtended by the chord at the centre of the circle
Answer:
To find the angle subtended by a chord at the center of a circle, we can use the formula:
θ = 2 * arcsin (c / 2r)
where θ is the angle subtended by the chord, c is the length of the chord, and r is the radius of the circle.
Step 1: Substitute the given values into the formula
θ = 2 * arcsin (13.2 / (2 * 9.4))
Step 2: Simplify the equation
θ = 2 * arcsin (13.2 / 18.8)
Step 3: Use a calculator or a math table to find the value of arcsin
arcsin (13.2 / 18.8) = 0.636 radians
Step 4: Multiply the value obtained by 2
0.636 * 2 = 1.27 radians
Final Answer: The angle subtended by the chord at the centre of the circle is 1.27 radians or 72.8 degrees
Answer:
ForTheTriangleABOtofindthelengthr
Wehave
sin(
2
α
)=
hypotenuse
opposite
=
OA
AB
=
9.4
6.6
=0.70212
whereAB=
2
13.2
=6.6cm
2
α
=sin
−1
(0.70212)
thenweoptain=
α=44.6°×2
=89.2°
The ages of each of the basketball players on a team are given.
13, 13, 13, 14, 14, 17, 18, 18
What is the mean age of these players?
O A. 13
B. 14
C. 15
D. 18
Answer:
I'm pretty sure it's 13 sorry if I am wrong
Which choice provides the best evidence for the
answer to the previous question?
A) Lines 10-14 ("Certain . . . business")
B) Lines 22-23 ("It is . . . lady")
C) Lines 23-26 ("On this . . . her")
D) Lines 30-32 ("She . . . train")
Correct option is A. Lines 10-14 ("Certain . . . business")
In lines 10-14, the narrator states that some of Lady Carlotta’s acquaintances would often admonish, or criticize, Lady Carlotta for meddling in or openly expressing her opinion on other people’s afairs.
In lines 10-14, the narrator states that people often criticized Lady Carlotta and suggested that she not interfere in other people’s afairs, which were “none of her business.” Te fact that people often were critical of Lady Carlotta’s behavior provides evidence that Lady Carlotta was outspoken.
Te narrator notes that Lady Carlotta decided not to interfere when one of her “most eloquent exponents” was stuck in a tree because an angry boar was nearby (lines 14-22). Tis “eloquent exponent” was a woman who ofen criticized Lady Carlotta for interfering in other people’s afairs. Lady Carlotta’s decision to “put the doctrine of noninterference into practice” (to not help her female acquaintance who was “besieged” in a tree) suggests that Lady Carlotta has a sense of humor.
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If f(x)=x^2-2x-5 find the following values
Answer:
Step-by-step explanation:
Two communications companies offer calling plans. With Company X, it costs 30¢ to connect and
then 5e for each minute. With Company Y, it costs 20¢ to connect and then 4¢ for each minute. Write
and simplify an expression that represents how much more Company X charges, in cents, for n
minutes
Which of these expressions represents how much more Company X charges than Company Y?
OA. (30 + 4n) - (20+5n)
OB. 30n -5- 20n - 4
OC. (30n - 4) - (20n-5)
OD. (30 + 5n) - (20 + 4n)
The expression _ represents how much more Company X charges than Company Y.
(Simplify your answer.)
HELP
Answer:
D
Step-by-step explanation:
you can model the amount that each phone plan will cost after n minutes with these linear equations
company X: \(30 + 5n\)
company Y: 20 + 4n
if you subtract the functions you can get the function for the
30 + 5n - ( 20 + 4n )
In regression analysis, if the dependent variable is measured in dollars, the independent variable _____.
In regression analysis, if the dependent variable is measured in dollars, the independent variable can be units.
What are dependent and independent variables in regression analysis?The outcome variable is also called the response or dependent variable, and the risk factors and confounders are called the predictors, or explanatory or independent variables. In regression analysis, the dependent variable is denoted "Y" and the independent variables are denoted by "X".The variable that is used to explain or predict the response variable is called the explanatory variable. It is also sometimes called the independent variable because it is independent of the other variable.To learn more about Dependent and Independent Variable, refer to:
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find the area figer
a 14
b 50
c 60
d 64
Answer:
64 cm²
Right corner rectangle:
Length * Width2 * 714 cm²Bottom rectangle:
Length * Width10 * 550 cm²Together:
50 cm² + 14 cm²64 cm²Answer:
d. 64 cm²
Step-by-step explanation:
Separate the shape into two rectangles (see attached image).
Formula
Area of a rectangle = width × length
Rectangle 1
Area = 2 × 12
= 24 cm²
Rectangle 2
Area = 5 × (10 - 2)
= 5 × 8
= 40 cm²
Total Area
Total area = Area of Rectangle 1 + Area of Rectangle 2
= 24 + 40
= 64 cm²
NEED HELP ASAP!!!
Review the diagram.
On a coordinate plane, a vector labeled 120 meters forms angle 25 degrees with the x-axis. It goes to point mirror 1. Another vector labeled 90 meters goes from point mirror 1 to mirror 2. It forms angle 20 degrees with a horizontal line. Point mirror 2 goes to (0, 0).
A laser beam is aimed 25° from horizontal at a mirror 120 m away. The beam bounces off the mirror and continues for an additional 90 m at 20° above horizontal until it hits a target, mirror 2. What is the distance between the origination point and the target?
approximately 85 m
approximately 122 m
approximately 174 m
approximately 194 m
Answer:
Approximately 85 m
Step-by-step explanation:
Let x represent the distance between the origination point and the target
Distance between original point and mirror 1 = 120 m
Distance between mirror 1 and mirror 2 = 90 m
The measure of angle Opposite the distance between the origination point and the target = 20 + 25 = 45°
Use Cosine rule to find x as shown below:
Use The Law of Cosines to find side a first:
\( a^2 = b^2 + c^2 - 2bc \times Cos(A) \)
Where,
a = x
b = 90 m
c = 120 m
A = 45°
Plug in the values
\( x^2 = 90^2 + 120^2 - 2(90)(120) \times Cos(45) \)
\( x^2 = 22,500 - 21,600 \times Cos(45) \)
\( x^2 = 22,500 - 15,273.5065 \)
\( x^2 = 7,226.4935 \)
Square both sides
\( x = \sqrt{7,226.4935} \)
\( x = \sqrt{7,226.4935} \)
x ≈ 85 m
Answer: AAAAAAA-85!!!!!
Step-by-step explanation:
For 2x2— 5x —3 = 0, determine which of the following are solutions?(i) x = 3 (ii) x= –2
(iii) x=-1/2 (iv) x=-1/3
The given options (i), (ii) and (iv) are all solutions of the equation. Option (iii) is not a solution of the equation since x=-1/2 does not equal 3 or -2.
The given equation is 2x2 - 5x - 3 = 0. The solutions of a quadratic equation are found by setting the equation equal to zero and solving for x. The solutions of this equation can be found by using the Quadratic Formula:
x = [-b ± (√b2 – 4ac)] / 2a
Using this formula:
x = [-(-5) ± (√(-5)2 – 4(2)(-3))] / 2(2)
x = [5 ± (√25 + 24)] / 4
x = [5 ± (√49)] / 4
x = [5 ± 7] / 4
Therefore, the solutions are x = 3 and x = -2.
The given options (i), (ii) and (iv) are all solutions of the equation. Option (iii) is not a solution of the equation since x=-1/2 does not equal 3 or -2.
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Downtime refers to the time duration that the service is unavailable, how much cumulative downtime per year will an sla percentage of 99.95 give?
The cumulative downtime per year of an SLA percentage of 99.95 is 4 hours, 21 minutes, 58 seconds.
How much cumulative downtime per year will an SLA percentage of 99.95 give?The SLA Downtime refers to the time duration that a machine or service is unavailable.
The SLA Uptime is the amount of time a machine or service is available.
The cumulative downtime per year of an SLA percentage of 99.95 will give the following:
An SLA percentage of 99,95 gives 43 seconds daily downtime.
In a year, cumulative downtime = 43 seconds * 365 = 15695 seconds
Converting to hours and minutes give a downtime of 4 hours, 21 minutes, 58 seconds.
In conclusion, downtime refers to unavailability of a given machine or service.
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The graph shows the function f(x) = 2^x What is the value of x when f(x) = 4?
Answer:
x=2
Step-by-step explanation:
f(x)=2^x
Now the given value is used:
4=2^x
x=2, because 2 squared is 4
In ΔUVW, the measure of ∠W=90°, UW = 60, VU = 61, and WV = 11. What is the value of the sine of ∠U to the nearest hundredth?
Answer: 0.18
Step-by-step explanation:
Answer:
0.18
Step-by-step explanation:
I just got it correct
Anyone know this? I'll give brainlest
Answer:
5 Popsicles and 5 ice cream bars
(x-5)/(2) + (x-1)/(8) + (x-3)/(4) + (x-4)/(3) PLEAAAASEEEEEEEEEEEE HELPPPPPPPP THIS IS LIKE MY 5th time putting this UP PLEASE! Show your work IF U CAN I WILLL GIVE BRAINLIEST!
Resp.: 8
181x-389|12
x= 389|181
help!!! if you know any of the 6 questions pls answer :)
Answer:
theres nothing
Step-by-step explanation:
Answer:
you didnt add anything
Step-by-step explanation:
I WILL MARK SOMEONE BRIANLIEST!!! SOMEONE HELP
Answer:
See below
Step-by-step explanation:
\( \because \: we \: know \: that \\ {2}^{0} = 1 \\ \\ \implies \: log_{2}1 = 0 \\ (if \: {a}^{m} = n \implies \: log_{a}n = m)\)
If there are 4 cups in a quart, how many quarts are in 20 cups? *
A. 3
B. 4
C. 5
D. 6
Answer:
C
Step-by-step explanation:
20/4=5
The water usage at a car wash is modeled by the equation w(x) = 4x3 6x2 − 11x 7, where w is the amount of water in cubic feet and x is the number of hours the car wash is open. the owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. the amount of decrease in water used is modeled by d(x) = x3 2x2 15, where d is the amount of water in cubic feet and x is time in hours. write a function, c(x), to model the water used by the car wash on a shorter day. c(x) = 4x3 4x2 − 11x 8 c(x) = 3x3 4x2 − 11x − 8 c(x) = 3x3 4x2 − 11x 8 c(x) = 4x3 4x2 − 11x − 8
A function, C(x), to model the water used by the car wash on a shorter day will be (B) 3x³ + 4x² - 11x - 8.
What is an equation?A relationship between two variables is defined as an equation; if we plot the graph of the linear equation, we will get a straight line.To find a function, C(x), to model the water used by the car wash on a shorter day:
Given information -
The water usage at a car wash is modeled by the equation W(x) = 4x³ + 6x² − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is open.The amount of decrease in water used is modeled by D(x) = x³+ 2x² + 15, where D is the amount of water in cubic feet and x is time in hours.Now the amount of water is cut from the total water usage so to find out the new model c(x) we need to subtract the decrease in water from the total water usage.
We are trying to find:
C(x) = W(x) - D(x)C(x) = (4x³ + 6x²− 11x + 7) - (x³ + 2x² + 15)C(x) = 4x³ - x² + 6x² - 2x³ - 11x + 7 - 15C(x) = 3x³ + 4x² - 11x - 8Therefore, a function, C(x), to model the water used by the car wash on a shorter day will be (B) 3x³ + 4x² - 11x - 8.
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The correct question is given below:
The water usage at a car wash is modeled by the equation W(x) = 4x3 + 6x2 − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours.
Write a function, C(x), to model the water used by the car wash on a shorter day
T/F. if you have 23 people in a room, there is a 50% chance that 2 of them have the same birthday.T
The statement 'if you have 23 people in a room, there is a 50% chance that 2 of them have the same birthday' is True.
The Birthday Paradox states that with 23 people in a room, there is a 50% chance that two of them have the same birthday . This may seem counterintuitive, but the math behind it works as follows:
Calculate the probability that everyone has a different birthday.
Subtract that probability from 1 to get the probability that at least two people share a birthday.
There are 365 possible birthdays for the first person.
For the second person to have a different birthday, there are 364 remaining options.
For the third person, 363 remaining options, and so on.
The probability of everyone having different birthdays is calculated as:
(365/365) × (364/365) × (363/365) × ... × (343/365)
1 - (calculated probability) = probability that at least two people share a birthday
Using this calculation, the probability is approximately 50% that two people have the same birthday with 23 people in the room.
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Hannah makes $46,675 per year, how much will she make each paycheck if she is paid
weekly?
Answer: $897.6
Step-by-step explanation: 46,675 a year, 52 weeks in a year. 46,675/52=897.6
The function LaTeX: f\left(x\right)=-x^2+4f ( x ) = − x 2 + 4 defined on the interval LaTeX: -8\le x\le8− 8 ≤ x ≤ 8 is increasing on the interval LaTeX: \left[A,B\right][ A , B ] and decreasing on the interval LaTeX: \left[C,D\right][ C , D ]. Fill in the blanks below.
Given:
The function is
\(f(x)=-x^2+4\)
It defined on the interval -8 ≤ x ≤ 8.
To find:
The intervals on which the function is increasing and the interval on which decreasing.
Step-by-step explanation:
We have,
\(f(x)=-x^2+4\)
Differentiate with respect to x.
\(f'(x)=-(2x)+(0)\)
\(f'(x)=-2x\)
For turning point f'(x)=0.
\(-2x=0\)
\(x=0\)
Now, 0 divides the interval -8 ≤ x ≤ 8 in two parts [-8,0] and [0,8]
For interval [-8,0], f'(x)>0, it means increasing.
For interval [0,8], f'(x)<0, it means decreasing.
Therefore, the function is increasing on the interval [-8,0] and decreasing on the interval [0,8].
Please show me how to solve/graph this Algebra 2 problem step by step, thank you!
Explanation:
Step 1. We have a piecewise function defined for certain x value intervals.
for x values between -4 and -1, the definition is:
\(f(x)=x+6,\text{ for }-4And for the x values between -1 and 5, the definition is:\(f(x)=-2x+7,\text{ for }-1Step 2. We need to graph the function, for that, we start with the definition for x values between -4 and -1\(\begin{equation*} f(x)=x+6 \end{equation*}\)To graph this, we compare it with the general line function
\(f(x)=mx+b\)where m is the slope (the rate of change of the line) and b is the y-intercept. In this case, for f(x)=x+6, the slope is m=1, and the y-intercept is 6, if we were to graph this line in the whole plane, it would look as follows:
But since this is just the definition of the function for the values between -4 and -1, the result is:
Step 3. Now we consider the second definition of the function:
\(\begin{equation*} f(x)=-2x+7 \end{equation*}\)Comparing it with the general line function
\(f(x)=mx+b\)where m is the slope (the rate of change of the line) and b is the y-intercept.
Here in f(x)=-2x+7, the slope is m=-2, and the y-intercept is b=7, which means that the line is decreasing at a rate of -2, and that it crosses the y-axis at 7.
If we were to graph this line in the whole plane, it will look as follows (in blue):
But since that is the definition of the function only for the interval from -1 to 5, we only consider the line for that specific x-interval, we represent the point at -1 with an open circle and at 5 with a filled circle to represent that 5 is included in the segment:
Answer:
I need help. What does n equal.
\(5n^{2}=7n-2\)
Answer:
\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)
Step-by-step explanation:
\(\rightarrow 5n^2 = 7n -2\)
\(\rightarrow 5n^2 - 7n +2=0\)
\(\rightarrow 5n^2 - 5n -2n+2=0\)
\(\rightarrow 5n(n - 1) -2(n-1)=0\)
\(\rightarrow (5n-2)(n-1)=0\)
\(\rightarrow 5n-2= 0,\: n-1=0\)
\(\rightarrow 5n= 2,\: n=1\)
\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)
Step-by-step explanation:
\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)
Bruce's hourly wage increased from $15.50 to $18.60. What ratr of increase does this represent?
Mai is going for a walk. She walks at a constant speed for 20 minutes. She takes a
break for 5 minutes before turning around and walking back home. She walks faster
than she did before.
a. Sketch a graph that represents Mai’s distance from home (miles) as a function of time (minutes).
b. Label two points on the graph and explain what Mai is doing at the corresponding time.
The graph that represents Mai's distance from home is given below.
The two points on the graph are (20, 1) and (25, 1).
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
Mai walks at a constant speed for 20 minutes.
This means,
The graph is a straight line for 20 minutes.
The red line represents the constant speed.
5 minutes break will represent a horizontal green line on the graph.
The two points on the graph below are:
(20, 1) and (25, 1)
Thus,
The graph is given below.
The two points are (20, 1) and (25, 1).
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Can someone help with these questions??
Will be helpful