4 a. Graph the following system of equations.
y = -3x
y = x + 4
b. what does the graph show to be the solution of the system?
5 DeAndre and Leah are making origami cranes. their goal is to complete 1,000 cranes by the end of the summer.
- DeAndre already has 30 cranes and makes 5 more each day.
- Leah already has 10 cranes and makes 15 more each day.
The graph shows how many cranes, c, each person has made after d days.
a. what does the graph show to be the solution of the system?
b. what does the solution mean in this context?
Answers
4. a. The graph of the system is attached below.
b. The solution is: (-1, 3).
5. a. (2, 40) is the solution as shown by the graph.
b. (2, 40) means that both will complete 40 cranes after 2 days
How to Graph a System of Equation?On a graph, when two lines are plotted for different equations, the solution is the coordinates of the point where both lines intersect.
4. a. The graph of y = -3x is the red line in the image attached below, while that of y = x + 4 is the blue line. They both intersect each other at (-1. 3).
b. The solution of the system is therefore, (-1, 3).
5. a. Using the graph given that shows the lines of the equations of DeAndre and Leah, both lines intersect at (2, 40).
We can therefore state that the solution to the system as shown in the graph is: (2, 40).
b. In the context of the scenario given, the solution (2, 40) means that both will have completed equal amounts of 40 cranes after 2 days.
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Related Questions
what is a good half a mile time? today i ran it in 5:43. how can i improve that? i'm a 14 year old girl.
Answers
A good half a mile time is totally good, if a half mile is the longest distance you've ever run, try a 3/4 mile run the next time. After a few successful attempts at that distance, increase it to a mile.
In the given question, we have to explain, what is a good half a mile time.
First, some background is required for 5:43 for half a mile. When did you start running? Was that time calculated using a full effort, or was it only the distance covered without walking? Don't worry about if it's good if you're spanking new. Use it as a foundation.
Second, like with most things in life, practise makes perfect, and running performance is no exception. If a half mile is the longest distance you've ever run, try a 3/4 mile run the next time. After a few successful attempts at that distance, increase it to a mile. The goal is to gradually push your boundaries until you consistently cross that threshold and then push your limits even farther.
Your body will be encouraged to adapt to the challenge, grow to it, and become prepared for when the challenge gets harder.
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-2(12-2(-4))exponent2
Answers
Answer:
6400
Step-by-step explanation:
-2(12-2(-4))^2
Simplify:
-2(10(-4))^2
-2(-40))^2
80^2
6400
Hope this helps!
Help..NEOW PLSSSSSSSSSSSSSSSS
Answers
Answer: Yes, they are proportional
Answer:
No.
Step-by-step explanation:
A proportional relationship shows that each time the amount of money would have increased/decreased in the same amount if she had payed it off constantly and it did not therfore your answer is no.
Suppose that insurance companies did a survey. They randomly surveyed 430 drivers and found that 330 claimed they always buckle up. We are interested in the population proportion of drivers who claim they always buckle up.
a) x = ? b) n = ? c) p' = ? d)
Which distribution should you use for this problem? (Round your answer to four decimal places.)
P- (_) (_,_)
e) Construct a 95% confidence interval for the population proportion who claim they always buckle up.
i. state the confidence interval
ii. sketch graph
iii. calculate error bound
Answers
The 95% confidence interval for the population proportion who claim they always buckle up is 0.0204.
a) x: 330
b) n: Number of drivers who are surveyed = 430
c) p': proportion of drivers in a sample who claimed to always buckle up = 0.7674
d) normal distribution should be used for this problem.
e) 95% confidence interval for the population proportion who claim they always buckle up.
The error margin is:
1.96 × sqrt(p(1-p) ÷ n)
1.96 × sqrt(0.7674 × 0.2326 ÷ 430) = 0.0204
(0.7674 - 0.0204,0.7674 + 0.0204) = (0.747, 0.7878)
The confidence interval is (0.747, 0.7878).
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How do u make 630 into 6.3?
Answers
Answer:
by dividing by 100
Step-by-step explanation:
630 ÷ 100 = 6.3
Please help with this question. I need help this is too hard for my friend and I do not have time.
Answers
The frequency table formed using tally marks can be analyzed by using the numbers indicated by the tally marks as follows;
The true statements are as follows;
Twice as many students prefer green than purpleTwo more students prefer blue than purpleThe same number of students prefer yellow or purple as the number who prefer blueWhat are tally marks in a frequency table?Tally marks makes use of vertical lines to represent data, in which the fifth count is represented by a diagonal line across four vertical lines;
The data in the table are as follows
The number of students that prefer red = 5 + 1 = 6
The number of students that prefer yellow = 2
The number of students that prefer Blue = 5
The number of students that prefer purple = 3
The number of students that prefer Green = 6
Therefore;
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A die is rolled. Find the probability of the given event. Write your answers as whole numbers or reduced fractions.
(a) The number showing is a 4
P(4) = (b) The number showing is an even number
P(even) =
(c) The number showing is greater than 3
P(greater than 3) =
Answers
The probability for given conditions are a) p(4)=0.166, b) p(even)=0.5 and c) p(greater than 3)=0.5
A die is rolled, then the sample space for outcomes is {1,2,3,4,5,6}
Total number of outcomes =6
Probability of showing number 4. number of favourable outcomes is 1 because there is only one 4 in the sample space of outcomes , [tex]P(4)=\frac{number\ of\ favourable\ outcomes}{total\ number\ of\ outcomes}\\\\P(4)=\frac{1}{6}=0.166[/tex]Probability of showing an even number, even numbers in sample space are {2,4,6} number of favourable outcomes =3 [tex]P(even)=\frac{3}{6}=\frac{1}{2}=0.5[/tex]Probability of showing a number greater than 3, numbers greater then three is sample space are {4,5,6} number of favourable outcomes =3 [tex]P(greater\ than\ 3)=\frac{3}{6}=\frac{1}{2}=0.5[/tex]Thus, the probability for given conditions are a)p(4)=0.166, b)p(even)=0.5 and c)p(greater than 3)=0.5
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A disk D, a hemisphere H, and a portion P of a paraboloid are shown. Suppose F is a vector field on R3 whose components have continuous partial derivatives. Explain why this statement is true: curl F. ds = -|| = / curt 1 SS curl F. ds = curl F. ds D H P 4 4 4 P H D 2 x2
Answers
Yes, this statement is true. Because flux integral of curl vector does not depend on surface, it depends only on the boundary of the surfaces. Till we are integrating in the same boundary limits.
Given:
The image displays a paraboloid's part P, its hemisphere H, and its disk D. Assume F is a vector field on R3 with continuous partial derivatives in each of its components.
we are asked why the statement is true = ?
Yes, this claim is accurate. Because the flux integral of the curl vector is surface-independent, it only depends on the boundaries of the surfaces. till our integration is within the same boundary limitations.
Hence above given expression will hold true.
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An airline finds that 5% of the persons making reservations on a certain flight will not show up for the flight. if the airline sells 155 tickets for a flight that has only 150 seats, what is the probability that a seat will be available for every pe?
Answers
The probability that a seat will be available for every person holding a reservation and planning to fly is 0.8980.
What is probability?
Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.
Given:
The probability that a person who makes reservations on a certain flight and does not show up for the flight is p=0.05.
The probability that a person who makes reservations on a certain flight and does show up for the flight is 1-p=1-0.05=0.95.
The airlines sell 160 tickets for a flight with only 155 seats.
Let X be a random variable that denotes the number of persons who show up for the flight and it follows a binomial distribution with parameters n = 160 and p = 0.95.
Hence, X~ Binom (n = 160, p = 0.95).
Here,
np=160×0.95=152>5
n(1-p)=160×0.05 = 8.1>5
Hence, both np and n(1-p) are greater than 5, the binomial distribution can be approximated to normal distribution.
The probability that a seat will be available for every person holding a reservation and planning to fly is calculated as follows:
P(X ≤ 155) = (P < 155 + 0.5)
[tex]=P(x < 155.5)\\\\=P(\frac{X-np}{\sqrt{np(1-p)}} < \frac{155.5 - (160 \times 0.95}{\sqrt{160\times 0.95 \times 0.05}})\\\\=P(Z < \frac{155.5-152}{2.7568})\\\\=P(Z < 1.27)\\\\=0.8980[/tex]
Hence the probability that a seat will be available for every person holding a reservation and planning to fly is 0.8980.
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Dolores is making a music video using a drone. She sets the drone on a
platform 1 meter above the ground. Then she uses the controls to make it
rise at a constant rate. The drone reaches a height of 16 meters in 5 seconds.
What is the equation for the drone's height, y, as a function of time, x?
Jm
Answers
Answer: y=3x-1
Step-by-step explanation:
1st subtract 1 from 16 so 15 then do 15/5 to get 3 seconds
forty teams play a tournament in which every team plays every other team exactly once. no ties occur, and each team has a 50% chance of winning any game it plays. the probability that no two teams win the same number of games is m/n, where m and n are relatively prime positive integers. find log2n
Answers
The probability that no two teams win the same number of games is 742.
There are (40/2) = 780 total pairings of teams, and thus 2⁷⁸⁰ possible outcomes. In order for no two teams to win the same number of games, they must each win a different number of games. Since the minimum and maximum possible number of games won are 0 and 39 respectively, and there are 40 teams in total, each team corresponds uniquely with some k, with 0 ≤ k ≤ 39, where k represents the number of games the team won. With this in mind, we see that there are a total of 40! outcomes in which no two teams win the same number of games. Further, note that these are all the valid combinations, as the team with 1 win must beat the team with 0 wins, the team with 2 wins must beat the teams with 1 and 0 wins, and so on; thus, this uniquely defines a combination.The desired probability is thus 40!/2⁷⁸⁰ . We wish to simplify this into the form m/n , where m and n are relatively prime. The only necessary step is to factor out all the powers of 2 from 40!, the remaining number is clearly relatively prime to all powers of 2.The number of powers of 2 in 40! is
= (40/2) + (40/4) + (40/8) + (40/16) + (40/32)
= 20 + 10 + 5 + 2 + 1
= 38.
780-38 = 742.
Hence, the probability that no two teams win the same number of games is 742.
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you want to estimate the mean sat score of all georgia students. you know the mean score for a random sample of georgia students is 1050. what number is your best guess as to the mean score for all georgia students?
Answers
The best guess for the mean score for all the Georgia students would be 1050 number here.
Given that:
The mean score for a random sample of Georgia students is 1050.
Assuming,
1) X-bar = 42; µ = 44; standard deviation (sigma) = 10; N = 64. Calculate the standard error.
1) The standard error is computed as:
[tex]\sigma_{\bar X} = \frac{\sigma}{\sqrt{n}} = \frac{10}{\sqrt{64}} = 1.25[/tex]
2) You know that X-bar = 42, mu = 44, sigma-sub-X = 10, and N = 64, Calculate z-obtained.
2) The Z-value is computed as:
[tex]Z = \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{N}}} = \frac{42- 44}{\frac{10}{\sqrt{64}}} = -1.6[/tex]
3) The mean score on most IQ tests is 100 with a standard deviation of 15. If Sally has a score of 110 on an IQ test, what is her z-score.
3) The Z -score here is computed as:
[tex]Z = \frac{X -\mu}{\sigma} = \frac{110-100}{15} = 0.6667[/tex]
The best point estimate for the population mean score is equal to the sample mean which is 1050 in this case. Therefore the best guess for the mean score for all the Georgia students would be 1050 here.
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a spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.2 cm/min. at what rate is the volume of the snowball decreasing when the diameter is 8 cm
Answers
20.11 cm3/min is the rate at which the snowball's volume is decreasing.
Given,
The decreasing diameter when the spherical ball is melting = 0.2 cm/min
We have to find the rate in decrease in volume of snowball when diameter is 8 cm.
Here,
Volume of sphere, V = 4/3 π r³ = 4/3 π (D/2)³ = 1/6 π D³
Considering differences according to time,
dV/dt = d/dt (1/6 π D³) = 1/6 π × 3D² dD/dt
dV/dt = 1/2 π D² dD/dt
Substituting
D is 8 cm, and the diameter is changing at a rate of 0.2 cm/min.
dV/dt = 1/2 π D² dD/dt
dV/dt = 1/2 × π × 8² × 0.2 = 20.11 cm³/min
Therefore,
Decreasing snowball volume at a rate of 20.11 cm3/min
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Denise works for a company where the IT department charges her department for actual usage of a SharePoint server, determining how often users log in and how much storage space her department consumes. What type of IT funding model is the company deploying?
chargeback
Answers
The company is deploying chargeback type of IT funding model where the IT department charges her department for actual usage of a SharePoint server, determining how often users log in and how much storage space her department consumes.
What is IT funding model?A financing model is a planned, institutionalized strategy for creating a steady income stream to sustain an organization's core services and operations. Nonprofits need funding because it enables them to make investments in their operations and increase their overall effect. Securing funding is crucial to keeping your organization operational because nonprofits frequently rely on grants to assist with operational costs. Grants of all kinds are available to nonprofit organizations.
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Convert 4,300 kilometers into miles round your answer to the nearest whole number
Answers
4300 km to miles:
[tex]{ \red{ \tt{2671.896}}}[/tex]
2671.896 in nearest whole number :
[tex]{ \blue{\boxed{ \tt{2672}}}}[/tex]
Question 3(Multiple Choice Worth 2 points)
(Theoretical Probability MC)
Answers
The probability P(DD) of the letters D and D is 4/9
How to determine the probability?The letters of the alphabets used to generate the word ADD are given as
Sample space (letters) = {A, D, D}
It is assumed that when a card (i.e. letter) is selected, the card is returned to the set
This means that the selection is with replacement
These letters mean that
P(Letter D) = Count of letter D/Number of letters
So, we have the following representation
P(Letter D) = 2/3
Now, the sample space is
Sample space (letters) = {A, D, D}
These letters mean that
P(Letter D2) = 2/3
So, we have the probability equation
P(DD) = P(D) * P(D2)
This gives
P(DD) = 2/3 * 2/3
Evaluate
P(DD) = 4/9
So, the probability is 4/9
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Jack bought 3 pencils and 4 notebooks and paid a total of $10.93. Sara bought 5 pencils and *
2 notebooks and paid a total of $7.53. What is the cost of a notebook?
$2.19
$2.24
$2.29
$2.35
Answers
Answer:
the correct answer is B
Step-by-step explanation:
$2.29 is the cost of a notebook.
Here, we have,
given that,
Jack bought 3 pencils and 4 notebooks and paid a total of $10.93. Sara bought 5 pencils and 2 notebooks and paid a total of $7.53.
let, the cost of a notebook = n
the cost of a pencil = p
we would solve this with simultaneous equations,
so if we write it as:
4n + 3p = 10.93
2n + 5p = 7.53
=> we get,
multiplying the equations by 5 and 3, we get,
20n + 15p = 54.65
6n + 15p = 22.59
(subtract)
14n = 32.06
divide both sides by 14,
14n ÷ 14 = 32.06÷ 14
n = 2.29
notebooks = 2.29
So the final answer is notebooks are $2.29.
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the probability that a new microwave oven is damaged during delivery is 0.10. given that a new microwave oven is damaged during delivery, what is the probability that it stops working in less than 2 years?
Answers
The probability that it stops working in less than 2 years is 0.40.
Given:
the probability that a new microwave oven will stop working in less than 2 years is 0.05. the probability that a new microwave oven is damaged during delivery and stops working in less than 2 years is 0.04. the probability that a new microwave oven is damaged during delivery is 0.10.
here
P ( A ∩ B ) = 0.04
P ( A ) = 0.10
we know that,
According to conditional probability:
P ( B / A ) = P ( A ∩ B ) / P ( A )
substitute values
= 0.04 / 0.10
= 004 / 100 / 010/100
= 4 / 100 * 100 / 10
= 4 * 100 / 100 * 10
= 4 * 1 / 10 * 1
= 4 / 10
= 0.40
Therefore the probability that it stops working in less than 2 years is 0.40.
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a ferris wheel is 16 meters in diameter and makes one revolution every 7 minutes. for how many minutes of any revolution will your seat be above 12 meters?
Answers
After 1.67 minutes, the Ferris wheel will be higher than 12 meters.
Given,
The Ferris wheel has a 16-meter diameter.
The circumference of a circle with a diameter of 16 meters, which is calculated as follows, is the distance travelled by the Ferris wheel in one rotation; 16π meter
The Ferris wheel makes one revolution in 7 minutes, hence the following is true:
16π meter = 7 minutes
1 meter = (7/16π) minutes
12 meters = (7 ×12)/16π minutes
12 meters = 1.67 minutes
Therefore,
The Ferris wheel will be above 12 meters after 1.67 minutes.
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given are five observations collected in a regression study on two variables. xi 2 6 9 13 20 yi 7 18 9 26 23 which of the following scatter diagrams accurately represents the data?
Answers
The regression equation is y = 0.9x+ 7.5
given that
xi: 2 6 9 13 20
Yi : 7 18 9 26 23
from the given data we have:
∑x = 2+6+9+13+20 = 50
∑y = 7+18+9+26+23 = 83
Also, we need to calculate:
∑xy = 2 × 7+ 6 × 18+ 9× 9+ 13 × 26+ 20×23 = 1001
∑[tex]x^{2}[/tex] = [tex]2^{2}[/tex] + [tex]6^{2}[/tex] + [tex]9^{2}[/tex] + [tex]13^{2}[/tex] + [tex]20^{2}[/tex] = 690
∑[tex]y^{2}[/tex]= [tex]7^{2}[/tex] + [tex]18^{2}[/tex] + [tex]9^{2}[/tex] + [tex]26^{2}[/tex] + [tex]23^{2}[/tex] = 1659
the slope b is calculated:
b = ∑xy - ∑x × ∑y/n ÷ ∑[tex]x^{2}[/tex] - (∑x)^2 /n
now we need to substitute above values in the equation:
b = 1001 - 50×83 /5 ÷ 690 - (50)^2/5
b= 0.9
the y-intercept (a) is :
a = y - bx
where
y = ∑y/n = 83/5 = 16.6
x = ∑x/n = 50/5 = 10
now substitute these values
a = 16.5 - 0.9 × 10
a = 7.5
the regression equation:
y = bx + a
now ,
y = 0.9x+ 7.5
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N is an integer with -5 < 2n <6
write down all the values of n?
Answers
The value of n should be greater than -5/2 and less than 3. So the value of n under the interval (-5/2, 3).
In the given question, n is an integer with -5<2n<6.
We have to write the value of integer.
As we know;
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. A common way to represent the set of integers in mathematical terms is z with bold.
To find the value of integer n we firstly divide the whole inequality by 2.
The given inequality is -5<2n<6.
Divide by 2, we get
-5/2<n<3
Now we can say that the value of n should be greater than -5/2 and less than 3. So the value of n under the interval (-5/2, 3).
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calculate a 95% confidence interval for the difference in mean revenue at the box office for drama and comedy movies. let dramas be population 1 and comedies be population 2. write your answer using interval notation and round the interval endpoints to two decimal places.
Answers
A 95% confidence interval for the difference in mean revenue at the box office for drama and comedy movies is (7.44, 72.56).
We have given that,
Sample mean of peoples who like drama , x₁-bar = 190
Sample mean of peoples who like comedy,x₂-bar = 150
Sample size for darama sample, n₁ = 17
Sample size for comedy sample, n₂ = 14
Standard deviations, s₁ = 60
Standard deviations, s₂ = 30
Confidence level = 0.95 or 95%
Using Z-table , Z-score for 95% confidence level is 1.96..
We have to calculate a 95% confidence interval for the difference in mean revenue at the box office for drama and comedy movies.
It is given by following Confidence interval formula,
x₁-bar - x₂-bar ± Z ( √(s₁²/n₁ + s₂²/n₂))
= 190 - 150 ± 1.96(√(60²/17 + 30²/14))
= 40 ± 1.96(√3600/17 + 900/14))
= 40 ± 32.56
= (7.44, 72.56)
Hence, the required 95% confidence interval is
(7.44, 72.56) .
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Complete question:
A Hollywood studio believes that a movie that is considered a drama will draw a larger crowd on average than a movie that is considered a comedy. To test this theory. the studio randomy selects several movies that are classified as dramas and several movies that are classified as comedies and determines the box office revenue for. each movie. The results of the survey are as follows. Assurne that the population variances are approximately equal, Calculate a
95%
confidence interval for the difference in mean revenue at the box office for drama and comedy movies: Let dramas be Population-1 and comedies be Population 2. Write your answer using interval notation and round the interval endpoints to two decimal places
pls help im really slow and dont know how to do this
Answers
Answer:
2 1/6 more cups
Step-by-step explanation:
Answer: 2 1/6
Step-by-step explanation:
2 1/6
if the populations are normally distributed but the population variances are unknown the z-statistic can be used as the basis for statistical inferences about the difference in two population means using two independent random samples. true false
Answers
The given statement is false.
Given that,
The z-statistic can be used as the foundation for statistical inferences about the difference in two population means using two independent random samples if the populations are normally distributed but the population variances are unknown.
If the sample sizes are small, the populations are normally distributed, and the population variances are known, the z statistic can be used as the foundation for statistical inferences about the difference between two population means using two independent random samples.
Therefore, the above given statement can be concluded as false.
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Victoria purchased 0.6 lbs of deli ham for $4.71. What would it cost to purchase 1.4 lbs of the same ham? please and they solve asap and correct answer please
Answers
Using proportions and ratios, the cost of 1.4lbs is $10.96
ProportionsProportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
This is basically the process of comparing two ratios with one another.
In this problem, we will compare the two ratios and solve for the unknown cost of 1.4lbs
0.6 / 4.71 = 1.4 / x
Cross multiply both sides
x = (4.71 * 1.4) / 0.6
x = 10.96
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help pls by pst sunday december 4, 2022 12:00 images below
Answers
X+8 then you need to divide that all by x as it’s how many TIMES.
(X+8)/x
Donald bought an old truck for $500
did a full restoration over the course of a
summer. When he had finished the
restoration, he sold it for $2,375. What was
the percent of increase on the truck?
Answers
The percent of increase on the truck was 375%.
the summary of the percent of times each and every category appears for the entire sample is called the:
Answers
The summary of the percent of times each and every category appears for the entire sample is called the frequency distribution , the correct option is (d) .
In the question ,
it is asked about what is The summary of the percent of times each and every category appears for the entire sample is called ,
it is called frequency distribution ,
Frequency distribution : it lists all categories of data and number of occurrences for each data category and
it is also the summary of percent of times each and every category appears for entire sample .
Therefore , the correct option is (d) .
The given question is incomplete , the complete question is
The summary of the percent of times each and every category appears for the entire sample is called the ,
(a) mode
(b) categorical percentage rate
(c) percentage distribution
(d) frequency distribution
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on the grid draw the graph of y= 1- 3x for values of x from -2 to 3
Answers
Answer:
see solution
Step-by-step explanation:
equation: y = 1 - 3x
when x is -2:
y = 1 -3 * -2 = y = 1+6 = y = 7
coordinates = (x,y) = (-2,7)
when x is -1:
y = 1-3*-1 = y = 1+3 = y = 4
coordinates = (x,y) = (-1,4)
when x is 0:
y = 1 - 3 * 0 = y = 1-0 = y =1
coordinates = (x,y) = (0,1)
when x is 1
y = 1-3*1 = y = 1-3 = y = -2
coordinates = (x,y) = (1,-2)
When x is 2
y = 1-3*2 = y = 1-6 = y = -5
coordinates = (x,y) = (2,-5)
when x is 3
y = 1-3*3 = y = 1-9 = y = -8
coordinates = (x,y) = (3,-8)
Plot these points on the graph and join up the dots to see the line.
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A spherical snowball is melting. Find the approximate change in volume if the radius decreases from 7 cm to 6.8 cm. .. If the radius decreases from 7 cm to 6.8 cm, the change in volume will be 119.6654 cm3. (Round to the nearest tenth as needed.)
Answers
A spherical snowball is melting and its radius decreases from 7 cm to 6.8 cm. Its approximate change in volume is 123.2 cm³.
The approximated value can be obtained using derivative approach.
The volume of the sphere is given by:
V = 4/3 πr³
dV/dr = 4 . πr²
Suppose the change of the radius is Δr, using the above derivative, the change of volume can be approximated as:
ΔV = 4 . πr² Δr
Parameters given:
r = 7 cm
Δr = 7 - 6.8 = 0.2 cm
Hence,
ΔV = 4 . π7² (0.2)
ΔV = 4 . π7² (0.2)
ΔV = 123.2 cm³
Therefore, the approximate change in volume is 123.2 cm³
Learn more about rate of change here:
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