Task: Use the following situation to answer Parts A and B Instructions At noon, a tank contains 100 gallons of water. The table shows the input and output of water from pipes A, B, and C. The pipes begin operating simultaneously at noon. A B C Pipe Flow IN (gallons per minute) a (2) = 172 6(2) = 80 Flow OUT (gallons per minute) c (2)=30r Complete each of the 2 activities for this Task. Activity 1 of 2 Let T (2) represent the amount of water in the tank x minutes after all of the pipes A, B, and C are opened. Which of the following functions represents T (x)? O A T (2) = 100 + a(z) +b(2) - c(x) OCT (x) = 100 + a (x) +b(2) + c(2) OBT () = a (x) + b() +(2) ODT (2) = a (x) +b(x) - c(:) Activity 2 of 2 Using the equation, after how many minutes will the tank be empty?
Answers
Answer:
See referenced question
Step-by-step explanation:
Refer to this answer:
https://brainly.com/question/18638278Attached is the question in original form
Related Questions
Jordan will hike the trail shown at a rate of 2 mi/h. Write a linear equation to represent the distance Jordan still has to
walk after x hours. What does the y-intercept of the equation represent?
Answers
Answer:
If y represents the distance Jordan still has to walk after x hours, then the equation [tex] y = -2x + 13 [/tex] describes the given equation.
The y-intercept of the equation represents total distance of the trail
Step-by-step explanation:
A linear equation can be written to represent the situation above using the slope-intercept equation form, which is given as [tex] y = mx + b [/tex]
Where,
m = slope or rate of change = -2 mi/h (the slope is negative, because distance remaining decreases as hours increases)
b = y-intercept = 13 miles (this is the total distance of the trail. x (hours) is zero at this point)
The equation of the given situation, in slope-intercept form would be:
[tex] y = -2x + 13 [/tex]
A linear equation can be use to describe Jordan's distance because the
rate of change of the distance with time is constant.
First part: The linear equation is; y = 13 - 2·xSecond part: The y-intercept represents the total distance of the trail.Reasons:
From the map in the question, we have;
The distance of the trail Jordan has to hike = 13 miles
The rate at which Jordan will work = 2 mi/hr.
Part One:
Required:
The linear equation that represents the distance Jordan still has to walk
after x hours.
Solution:
Let y represent the distance Jordan still has to walk after x hours
The distance walked per hour = 2 miles
The distance walked after x hours = x × 2 miles = 2·x miles
Total distance = 13 miles
Distance remaining = Total distance - Distance walked
Distance remaining, y = 13 - 2·x
The linear equation that gives the distance Jordan still have to walk after x hours, is therefore;
y = 13 - 2·x
Second part:
The y-intercept is the y-value when x = 0
Therefore;
The y-intercept is; y = 13 - 2 × 0 = 13
Therefore;
The y-intercept represents the distance Jordan has to walk at the start
when the time, x, is 0, which is 13 miles or the the entire distance Jordan
has to walk.
Learn more here:
https://brainly.com/question/16924122
A bottle of medication contains 30 mls. After withdrawing 2.25 mls for an injection, how many
mls of medicine remain in the bottle?
Help please
Answers
Answer:
27.75 mls
Step-by-step explanation:
30mls - 2.25mls is equal to 27.75mls
What is the first step in ordering fractions with different denominators
Answers
Answer:
Find the common denominator. :)
can someone help me? The question is the picture below. 30 POINTS!!!
Answers
Answer:
Hope that helps! (ignore this, I just need more characters lol)
(x-8) (2x +9)
Test the equivalency of the two expressions by using the value x =9. Show your test.
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im not being rude i was just trying yo say sais the Anser but.it wouldnt let mr so now im sad
Can't figure this out extremely need help). A line goes through the points (8,9) and ( -2,4). A) what is the slope of the line? Show your work. B) Write the equation of the line in point -slope form. Show your work. C) Write the equation of the line in slope-intercept form. Show your work. ( Brainliest Answer and please be honest with your response). Make sure you show all your work please and thank you.
Answers
Step-by-step explanation:
Im sorry but I found it more easy writing it on a paper!
An industrial/organizational psychologist is consulting with Family Practice Pediatrics, which has just lost several of its best doctors to a rival pediatric practice. The management at Family Practice would like to know what it can do to increase job satisfaction for its remaining pediatricians. The psychologist is trying to determine whether significant information will be lost if she surveys a subset rather than every single pediatrician at Family Practice.
The following table lists the job satisfaction scores for all eight pediatricians at Family Practice as well as four examples of possible four-pediatrician samples. At the bottom of the table, the variance listed in the second column for all eight pediatricians is the population variance for the eight pediatricians (that is, sigma^2 = SS/N = SS/8). The variances listed in the third through the sixth columns are the sample variances for each of the four-pediatrician samples (that is, s^2 = SS/(n - 1) = SS/3).
Pediatrician Satisfaction Sample 1 Sample 2 Sample 3 Sample 4
A 5 x x x
B 6 x x x x
C 8 x x x
D 3 x
E 7 x x
F 2 x
G 8 x x
H 9
Mean 6.00 6.75 6.50 5.25 6.00
Variance 5.50 2.25 1.67 6.25 4.67
What is the mean of the four sample means?
What is the mean of the four sample variances?
A sample statistic is_______ if the average value of the sample statistic, obtained over all possible samples, is equal to the population parameter.
A sample statistic is_______ if it consistently underestimates or overestimates the corresponding population parameter.
A sample mean (that is, M = sigma X/n) is_________ estimator of the population mean. A sample variance that is computed as s^2 = SS/(n - 1) is estimator of the population variance.
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
What is the mean of the four sample means is [tex]\= x = 6.125 [/tex]
What is the mean of the four sample variances is [tex]\= x_v = 3.71[/tex]
A sample statistic is an unbiased point estimator if the average value of the sample statistic, obtained over all possible samples, is equal to the population parameter.
A sample statistic is biased if it consistently underestimates or overestimates the corresponding population parameter.
A sample mean (that is, M = sigma X/n) is unbiased estimator of the population mean
A sample variance that is computed as s^2 = SS/(n - 1) is unbiased estimator of the population variance.
Step-by-step explanation:
From the question we are told that
Mean 6.00 6.75 6.50 5.25 6.00
Variance 5.50 2.25 1.67 6.25 4.67
Generally the mean of the four sample means is mathematically represented as
[tex]\= x = \frac{6.00+ 6.75 + 6.50 + 5.25 + 6.00}{4}[/tex]
=> [tex]\= x = 6.125 [/tex]
Generally the mean of the four sample variances is mathematically represented as
[tex]\= x_v = \frac{5.50+ 2.25+ 1.67+ 6.25 +4.67}{4}[/tex]
=> [tex]\= x_v = 3.71[/tex]
Dave has 500 baseball cards, which is as many cards as Eric and Travis have combined. Eric has three times as many cards as Travis. If Travis is donated x cards, Eric 3x cards, and Dave 500 cards. What is the total number of calls that all of them have? Also, explain how we figure out the amount of cards Travis has and the amount Eric has
Answers
Answer:
regtrgerf
m klbhjkb.Step-by-step explanation:
Richard is W years old express algebraically is age 10 years ago
Answers
Answer:
W-10
Step-by-step explanation:
if Richard is W years old then subtract 10 from W
Answer:
W-10
Step-by-step explanation:
Subtract his 10 from his current age
At the supermarket you can fill your own honey bear container. A customer buys 12 oz of honey for $5.40. i need help.
Answers
Answer:
Ok, So what I would do first if I were you Is probably divide $5.40 by 12. So that would equal $0.45. So that mean it costs $0.45 per oz.
Step-by-step explanation:
How this helped!
The total price for a group of people at a restaurant is $113.40. Each person pays
$16.20. How many people argjn the group?
16 people
70 people
7 people
10 people
Answers
Answer:
7 people
Step-by-step explanation:
Lead in Medicine Listed below are the lead concentrations (in μg/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States (based on data from "Lead, Mercury, and Arsenic in US and Indian Manufactured Ayurvedic Medicines Sold via the Internet," by Saper et al., Journal of the American Medical Association, Vol. 300, No. 8. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14 μg/g.
3.0 6.5 6.0 5.5 20.5 7.5 12.0 20.5 11.5 17.5
Answers
Step-by-step explanation:
We start by calculating mean and standard deviation
Mean = sum of all values/total number of values
= 110.5/10
= 11.05
Standard deviation = √375.725/9
= √41.7472
= 6.46
Null hypothesis =
h0: μ = 14
Alternate hypothesis =
H1: μ < 14
Alpha is set at 0.05
Test statistic
T = mean - (μ)/(sd/√n)
=(11.05-14)/(6.46/√10)
= -2.95/2.0428
= -1.4441
P value calculator
df = n-1 = 10 -1 = 9
P Value = trust(x,df,tails)
= trust(1.4441,9,1)
= 0.0913
In conclusion our pvalue is greater than alpha level at 0.05 so we do not have sufficient evidence to reject the null hypothesis. We do not have enough evidence to accept the alternate so we reject claim that mean lead concentration for all such medicine is < than 14μg/g
Mary is the manager of a new clothing shop. The shop located in a new shopping mall and Mary wants to estimate the average daily demand for her clothes. From her own experience, she believes that the mean daily demand of her clothes in this region should be greater than or equal to 100. She is going to perform a survey to test this claim and the result will be used to decide how many clothes should be maintained every morning in order to satisfy the customers' needs. (a) What is the implication of Type I error in this case? (b) What is the implication of Type II error in this case? (c) Which type of error is more significant (important), for Mary, in this case?
Answers
Explanation:
a) First, note that the Type I error refers to a situation where the null hypothesis is rejected when it is actually true. Hence, her null hypothesis would be H0: mean daily demand of her clothes in this region should be greater than or equal to 100.
The implication of Type I error in this case is that Mary rejects that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually true.
b) While, the Type II error, in this case, is a situation where Mary accepts the null hypothesis when it is actually false. That is, Mary accepts that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually false.
c) The Type I error would be important to Mary because it shows that she'll be having a greater demand (which = more sales) for her products despite erroneously thinking otherwise.
Gloria deposited $500 into a bank account that earned 7.5% simple interest each year. She earned $225 in interest before closing the account.
No money was deposited into or withdrawn from the account.
How many years was the money in the account?
Round your answer to the nearest whole year.
Answers
Answer:
6
Step-by-step explanation:
7.5 % × 500 = 37.5
37.5 × 6 = 225
Answer:
6
Step-by-step explanation:
Jamall has 20 mo of planes and cars. He has three times as many cars in points. What is the
Answers
But what is the question
What is the distance between points (13,1) and (9,-4)
Answers
Answer:
5/4
Step-by-step explanation:
y2 -y1 -4-1=-5
x1 -x2 9-13=-4
Help ASAP , 15 points and a brainy.
Answers
Answer:
B
Step-by-step explanation:
Answer:
I think the answer is B. It slopes downward from left to right.
In other words, which one doesn't belong?
x>-2
3< x
x < 4
5>6
Please help!!
Answers
Answer:
5>6
Step-by-step explanation:
There are 16 boys and 12 girls in Mr.willam’s class. What is the ratio of boys to girls
Answers
Answer:
16:12 or 16 to 12
Step-by-step explanation:
Answer:
16:12 or 16 to 12
The ratio of boys to girls is 16 to 12.
find the value of x in the below complementary angle 3x(5x+2)
Answers
Answer:
The value of x is 11
Step-by-step explanation:
Two angles are complementary if the sum of their measures is 90°
Let us use this rule to solve our question
∵ The angle of measure (3x)° and the angle of measure (5x + 2)°
are complementary angles
→ That means their sum equals 90°
∴ 3x + 5x + 2 = 90
→ Add the like terms in the left side
∵ (3x + 5x) + 2 = 90
∴ 8x + 2 = 90
→ Subtract 2 from both sides to move 2 from the left side to the right side
∵ 8x + 2 - 2 = 90 - 2
∴ 8x = 88
→ Divide both sides by 8 to find x
∵ 8x/8 = 88/8
∴ x = 11
∴ The value of x is 11
Round 34,330 to the nearest thousand
Answers
Answer:30,000
Step-by-step explanation:
5 or more is greater 4 or you give it a rest
Good luck
Write an equation for the description. Ten times the sum of half a number x and 6 is 10.
Answers
Answer:
10 x ( 1/2x + 6 ) = 10
Which answer choice is equal to −(2÷3)?
Answers
Answer: -2÷3
Step-by-step explanation:
-(2÷3) = -2÷3
salome tiene 4 veces la edad de esmeralda.si ambas edades suman 75 años¿que edad tiene cada una?
Answers
I’m confused, what would the answer be? I need it ASAP please
Answers
Answer:
It is A
Step-by-step explanation:
Find the least common multiple of 6a2 and 5a3.
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HWLP NOW IM FREAKING OUT INNEED HELP
Answers
Answer:
I believe the answer is 14
Step-by-step explanation:
0.25x14=3.5 or 3 1/2 hope this helped!! <3
Answer:
The answer is C
Step-by-step explanation:
Hope this helped!
Determine the area of e
1.
4inch
Answers
What is 5.5.5 written in exponential form?
A
25
B
53
с
15
D
55
Answers
Answer:
5^3
Step-by-step explanation:
5*5*5
5 multiplied 3 times is
5^3
Answer:
5 ^ 3
Step-by-step explanation:
Subtract the rational expressions x/x+1 - 2/x
Answers
Answer:
(2x-2)/x
Step-by-step explanation:
x/x-2/x+1
LCM is x
(x-2+x)/x
(2x-2)/x