A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 8 ft.
(a) Find the force exerted by the milk on one end of the tank when the tank is full. (Round your answer to the nearest integer.) lb
(b) What if the tank is half full?
Answers
Answer:
a) 12989 Ib
b) 2756.3 Ib
Step-by-step explanation:
Density of milk = 64.6 Ib/ft^3
Diameter of tank = 8 ft
radius = 4 ft
a) Calculate force exerted by milk on one end of tank when Tank is full
pressure on strip ≈ 64.6 ( 4 - yi ) i.e. surface of milk = 4
Total force = 129.2 * [tex]\int\limits^4_4 {4-y} \sqrt{16-y^2} \, dx[/tex]
∴Force exerted = 129.2 * Area of semicircle( radius =4 ) * radius
= 129.2* 8π * 4 ≈ 12989 Ib
b) Force exerted when Tank is half full
pressure on strip ≈ 64.6 ( 0 - yi ) i.e. surface of milk = 0
Total force = 129.2 * [tex]\int\limits^0_4 {0-y} \sqrt{16-y^2} \, dx[/tex]
∴ Force exerted ≈ 2756.3 Ib
Related Questions
Please help me with this math word problem
Answers
Explanation: You can solve this using linear systems:
Let X be the cost per pencil, and let Y be the cost per notebook.
(1) 7x+8y=4.15
(2) 5x+3y=1.77
Choose a variable to eliminate. I’ll eliminate X first as an example. To eliminate a variable, you must have the same coefficient beside the variable for both equations.
Equation 1 now becomes:
(3) 35x+40y=20.75
Equation 2 now becomes:
(4) 35x+21y=12.39
Now that you have 35 as a coefficient for X in both equations, you can subtract the two equations to officially eliminate it!
(3)-(4)
19y=8.36
y=0.44
Now that you have the value of Y, substitute that value into either one of the equations to get X.
Substitute y=0.44 in (1)
7x+8(0.44)=4.15
7x+3.52=4.15
7x=0.63
x=0.09
Therefore, the cost per pencil is $0.09/pencil and the cost per notebook is $0.44/notebook.
Almost done lol...
To find the cost of 16 pencils, multiply 0.09*16. That gives you $1.44, which will be the cost of 16 pencils.
The cost of 10 notebooks is 0.44*10, which gives you $4.40. That’s the cost of 10 notebooks.
To find the total price, add these values together!
1.44+4.40=5.84
Therefore, the cost of 16 pencils and 10 notebooks is $5.84.
Hope that helps シ
Which fraction is closest to 1/2?
A:1/6
B:3/8
C:3/4
D:-1/2
Answers
1. A resident lot has the shape of a parallelogram. Its base measures 20 meters. The distance between the
parallel sides is 8 meters. What is the area of the lot?
Answers
Answer:
160 m²
Step-by-step explanation:
Given :
A parallelogram shaped lot :
Base of lot = 20 m
Distance between parallel sides, = height of lot = 8 m
The area of the lot can be obtained using the area formula of a parallelogram :
Area = base * height
Area = 20 m * 8 m
Area = 160 m²
Find the value of x
(it needs to be 20 characters so don’t mind the extra ness ………..)
Answers
180-46-74= 60
180-60= 120
2. Graph on a coordinate plane or explain how to graph: x = 5
Answers
Answer:
x = 5 is a vertical line at x = 5
Solve for X.
12x − 39 ≤ 9 AND −4x + 3 < −6
Choose 1 answer:
A. x ≥ 4
B. 9/4 < x < 4
C. x > -9/4
D. There are no solutions.
E. All values of X are solutions.
Answers
Answer: D.There is no answer.
Step-by-step explanation:
if you had to report on the salaries for different occupations, do you think it would be better to report the mean or the median value
Answers
CHECK MY ANSWERS PLEASE
Kevin's savings account balance changed from $1140 in January to $1450 in April. Find the average rate of change per month. Round your answer to the nearest dollar.
$78 per month
$50 per month
$310 per month
$103 per month*****
Answers
Answer:
yessss that's correct!
Step-by-step explanation:
One side of a triangle is 12 feet shorter than the second side. The third side is 2 feet shorter than the second side. The perimeter of a triangle is 55 feet. Find the length of each side.
Answers
Answer:
The three sides are 27 feet, 15 feet, 13 feet
Step-by-step explanation:
Let second side of a triangle be = a
Let one side be 12 feet shorter than the second side = (a - 12)
Let the third side be 2 feet shorter than the second side= (a - 12) - 2 =(a - 14)
Perimeter of triangle = Sum of length of all 3 sides
55 = a + (a - 12) + (a - 14)
55 = a + a + a - 12 - 14
55 = 3a - 26
55 + 26 = 3a
81 = 3a
a = 27
Length of one side, a - 12 = 27 - 12 = 15 feet
Length of second side, a = 27 feet
Length of third side, a - 14 = 27 - 14 = 13 feet
The answer is attached. I hope this helps answer your question!
the graph of y= -2x + 11 is:
Answers
Answer:
D. a line that shows only one solution to the equation
Step-by-step explanation:
I hope this helps uwu.
How can you use problem-solving strategies in solving personal, professional, and mathematical problems? Explain in 5-7 sentences and I will mark you the brainliest.
Answers
Answer:
Step-by-step explanation:
Problem-solving strategies are created as ways of making a problem easier to understand and this leads to it being easier to solve. For example, one strategy is known as compartmentalizing. This involves splitting a problem into various smaller problems. It makes solving these smaller problems easier and less stressful, and once the smaller problems are solved the bigger one is automatically solved as well. Such a strategy can be applied to any problem in any category including math.
(3x^ - 6x +11) - (10x^ - 4x + 6)
Answers
Answer:
3x−6x+11−(10x−4x+6)
=5x10−10x7+3x5
x10
=5x5−10x2+3
x5
Step-by-step explanation:
i hope this helps and i hope you understand this, sorry if you dont understand
FIND ALL THREE ANGLES
Answers
Answer:
Austin = 38
Atlanta = 89
Chicago = 89
Step-by-step explanation:
First, solve for x. All angles together equal 180. Set your formula up as
180 = 2x - 12 + 2x + 3 + 4x - 11
180 = 8x -20
180 + 20 = 8x
200 = 8x
200 / 8 = x
25 = x
Now substitute 25 in place of x
Austin
2x - 12
2*25-12 = 38
Atlanta
4x-11
4*25-11 = 89
Chicago
2x+3
2*25+3 = 53
Add all your angles together to check your work
can someone help me please
Answers
=========================================================
Explanation:
The horizontal pieces are the parallel bases
b1 = 17 and b2 = 9
The height is always perpendicular to the base, so h = 8
The 4 ft portion won't be used in the next section, so we can ignore it.
---------
Plug the values mentioned into the trapezoid area formula below. Simplify.
A = h*(b1+b2)/2
A = 8*(17+9)/2
A = 8*26/2
A = 8*13
A = 104 square feet
We can abbreviate "square feet" into "sq ft" or "ft^2" without quotes.
----------
As another approach, you can split the trapezoid into 2 triangles and a rectangle in between. Then find the area of each small piece, and add up those smaller areas to get the final answer. You should get 104. If you go with this approach, then you will use the 4 ft portion to help find the horizontal length of the triangle on the right.
which expression is equivalent to (4 - 3i) + (-2 + 10i)?
A. 9i
B. -9i
C. 2+7i
D. 2-13i
Answers
Answer:
C. 2+7i
Step-by-step explanation:
(4 - 3i) + (-2 + 10i)
Combine like terms
4-2 -3i +10i
2 +7i
Answer: The answer is C, 2 + 7i
Step-by-step explanation:
Suppose that a population parameter is 0.3, and many samples are taken from the population. As the size of each sample increases, the mean of the sample proportions would approach which of the following values? O A. 0.4 O B. 0.1 O C. 0.3 O D. 0.2 SUBMIT
Answers
Using the Central Limit Theorem, it is found that the mean of the sample proportions would approach 0.3, hence option C is correct.
What does the Central Limit Theorem states?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
In this problem, we have that the parameter is p = 0.3, hence the mean of the sample proportions would approach 0.3 and option C is correct.
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
#SPJ1
Evaluate the expression when a = 7 and c= -4.
-a+5c
pls help
Answers
Answer:
-27
Step-by-step explanation:
a = 7 and c = -4
- a + 5 c
- ( 7 ) + 5 ( - 4 )
- 7 - 20
- 27
2 [19 marks]
state of the main dams supplying the Cape Metropolitan area with water
as
compared to the five previous years is reflected in the table below.
The capacity is given in million cubic meters (million m').
TABLE 2: Water level of dams supplying water in the Cape Metropolitan area.
BULK
DAN STORAGE
Current Previous
CAPACITY
%
week
week
2012
2013
2014
2015
2016
6 Aug
WEMNERSHOEK
58,644
79.1
99.9
99.9
71.1
69.1
60.8
STEENBRAS LOWER
33,517
100.2
100.6
100.1
90.6
64.1
63.4
STEENBRAS UPPER
31,767
99.6
102.4
100.3
100.6
99.6
100.7
VOELVLEI
164,095
73.6
94.8
99.9
49.5
57.6
55.3
THEEWATERSKLOOF
480,188
84
103.3
102.9
71.9
50.2
49.2
BERG RIVER
130,010
103.8
101.8
100.7
85
64.5
62.2
TOTAL STORED
899,221 770,625 908,922 912,967 641,009 512,850 501,397
% STORAGE
85.8
1012
101.6
71.4
57.1
55.8
2.1
What does the word capacity mean?
(2)
2.2
Determine the range of the capacity of these dams.
(3)
2.3
Determine the median capacity of these dams.
(3)
2.4
Which dam showed an increase in the water level from 2015 to
2016?
(2)
2.5
(3)
Calculate, to the nearest million m. the current amount of water in
the Berg River dam
Which dam's water level remained the most constant over this five year
period?
2.6
(2)
Answers
Answer:
berg river
Step-by-step explanation:
it has good environmental health
What is the slope of the line in the graph?
Answers
The easiest way to find slope is to look at your first point and count how many boxes it is going up and then to the side. It's always going to be the rise over run. The awnser to this question is 2/1 or just 2.
To test this series for convergence
∝
∑ (4^n+7)/7^n
n=1
You could use the limit comparison test, comparing it to the series
∝
∑ r^n
n=1
Where r=???
Completing the test, it shows the series:
Answers
r should be 4/7. You're comparing the given series to a geometric series that converges. By the limit comparison test, you have
[tex]\displaystyle\lim_{n\to\infty}\frac{\frac{4^n+7}{7^n}}{\frac{4^n}{7^n}}=\lim_{n\to\infty}\frac{4^n+7}{4^n}=\lim_{n\to\infty}\left(1+\frac7{4^n}\right)=1[/tex]
and since this limit is positive and finite, and the series you're comparing to is convergent, then the first series must also be convergent.
Alice and Bob took a test, which has ten questions. Given that Alice answered six questions correctly and Bob answered eight questions correctly, compute the probability that there exists at least one question on the test which is answered correctly by Alice but not by Bob.
Answers
Answer:
0.12
Step-by-step explanation:
Total number of questions in the book = 10
Number of questions answered correctly by Alice = 6
Number of questions answered correctly by Bob = 8
Probability of Alice answering a question correctly = 0.6
Probability of Alice answering a question incorrectly = 1- 0.6 = 0.4
Probability of Bob answering a question correctly = 0.8
Probability of Bob answering a question incorrectly = 1- 0.8 = 0.2
Probability that there exists at least one question on the test which is answered correctly by Alice but not by Bob = 0.6 *0.2 = 0.12
Triangle B C D is shown. Angle C D B is a right angle. Altitude a is drawn from point D to point E on side C B, forming a right angle. B D is labeled c and C D is labeled D. The length of B E is 18 and the length of E C is 4.
What is the value of a?
6 StartRoot 2 EndRoot
9
8 StartRoot 3 EndRoot
36 StartRoot 2 EndRoot
Answers
Answer:
6√2
6 StartRoot 2 EndRoot
Step-by-step explanation:
To solve for q, we apply the leg rule theorem or leg geometric mean theorem :
The hypotenus = 18 + 4 = 22
Leg 1 = b
Part1 = 4
According to the leg rule theorem :
Hypotenus / leg 1 = leg 1 / part 1
22 / b = b / 4
Cross multiply :
b * b = 22 * 4
b² = 88
b = √88 = √88 = √4 * √22 = 2√22
From Pythagoras :
a² = b² - 4²
a² = (√88)² - 16
a² = 88 - 16
a² = 72
a = √72 = √36 * √2 = 6√2
Answer:
A
Step-by-step explanation:
edge2021
Ayuda es para mañana plsss
Answers
Answer:
Divido es numero
Step-by-step explanation:
1. 1045.90
2. 579.60
3. 634.15
4. 1084.71
Penny has a rectangular flower garden. The following polynomial gives the volume, V, of the garden with soil height, h.
V(h) = h3 + 5h2 – 24h
The product (h+8)(h-3) is a factor of the polynomial V(h). What does this product represent?
Answers
Answer:
30-24= 6h
Step-by-step explanation:
Question 14 of 14
Which expression gives the distance between the points
(1,-2) and (2, 4)?
O A. (1+23° +(2-47
O B. (1-2)*+(-2-4)
O c. 111-23 +4:32-47
O D. Hit+2y +(2-479
Answers
Answer:
c
Step-by-step explanation:
Without using mathematical table or calculator simplify 3 4/9 ÷(5 1/3 _ 2 3/4) + 5 9/10
Answers
Answer:
[tex]{ \tt{3 \frac{4}{9} \div (5 \frac{1}{3} - 2 \frac{3}{4}) + 5 \frac{9}{10} }} \\ \\ = { \tt{ \frac{31}{9} \div ( \frac{16}{3} - \frac{11}{4} ) + \frac{59}{10} }} \\ \\ = { \tt{ \frac{31}{9} \div ( \frac{31}{12} ) + \frac{59}{10} }} \\ \\ { \tt{ = \frac{4}{3} + \frac{59}{10} }} \\ \\ { \bf{ = \frac{217}{30} }} \\ \\ { \boxed{ \tt{answer : 7 \frac{7}{30} }}} \\ \\ { \underline{ \blue{ \tt{becker ⚜jnr}}}}[/tex]
Answer:
[tex]7 \frac{7}{30}[/tex]
Step-by-step explanation:
[tex]3 \frac{4}{9} \div ( 5\frac{1}{3} - 2 \frac{3}{4}) + 5 \frac{9}{10}\\\\\frac{31}{9} \div (\frac{16}{3} - \frac{11}{4} ) + \frac{59}{10} \\\\\\Solving \ using \ BODMAS\\\\First \ Solve \ expression \ inside \ Bracket \\\\\frac{31}{9} \div (\frac{(16 \times 4) - ( 11 \times 3)}{12}) + \frac{59}{10} \\\\\frac{31}{9} \div (\frac{64- 33)}{12}) + \frac{59}{10} \\\\\frac{31}{9} \div \frac{31}{12} + \frac{59}{10} \\\\\\ \\\\\\Next \ solve \ Dvision \\\\\frac{\frac{31}{9}}{\frac{31}{12}} + \frac{59}{10}\\\\[/tex]
[tex](\frac{31}{9}} \times {\frac{12}{31}) + \frac{59}{10}[/tex]
[tex]\frac{4}{3} + \frac{59}{10}\\\\ Now \ solve \ final \ expression \\\\\\\frac{(4 \times 10) + ( 59 \times 3)}{30}\\\\\frac{40 + 177}{30}\\\\\frac{217}{30}\\\\7 \frac{7}{30}[/tex]
Class 5A can complete a project in 15 days while class 5B needs twice that amount of time. To complete this project before the summer festival, both class 5A and class 5B need to work together. Due to other tasks, class 5A has to leave for 3 days while class 5B has to leave for 6 days. Knowing that both classes do not leave at the same time, and they do work together on some days, what is the total number of days taken to complete this project?
Answers
Answer:
it takne 23 days to complete it I hope it is clear add all the no
Twain's decision to end "The War Prayer" with the townspeople ignoring what
the stranger said is a good example of
A. irony
B. polyptoton
C. coincidence
D. parallelism
SUBMIT
Answers
Answer:
Irony
Explanation:
I just took the test
Explain how to do this and provide with an answer.
Answers
Answer:
V=480m^2
Step-by-step explanation:
If A varies directly as the cube root of B and if A = 3 when B= 64, find the formula con- necting the variables.
Answers
Answer:
A = [tex]\frac{3}{4}[/tex] [tex]\sqrt[3]{B}[/tex]
Step-by-step explanation:
Given A varies directly as [tex]\sqrt[3]{B}[/tex] then the equation relating them is
A = k [tex]\sqrt[3]{B}[/tex] ← k is the constant of variation
To find k use the condition A = 3 when B = 64 , then
3 = k [tex]\sqrt[3]{64}[/tex] = 4k ( divide both sides by 4 )
[tex]\frac{3}{4}[/tex] = k
A = [tex]\frac{3}{4}[/tex] [tex]\sqrt[3]{B}[/tex] ← equation of variation