Answer:
to two decimal places
= 6.04 mega joules
Step-by-step explanation:
The volume of the half tank
= πr²h
r= 2 m
h= 14/2= 7 m
Volume= 22/7 *2² *7
Volume= 88 m³
work (in mega-joules) needed to pump all of the water to the top of the tank
= Volume*mass density *acceleration*distance
= 88*1000*9.8*7
= 6036800 joules
In mega joules
= 6.036800 mega Joules
to two decimal places
= 6.04 mega joules
The work needed to pump all of the water to the top of the tank is 6.03 MJ
What is work?
Work is said to be done whenever a force move a body through a certain distance.
To calculate the work needed to pump the water to the tank, first we need to find the volume of the water in the tank half full.
Formula:
V = πr²h/2................ Equation 1Where:
V = Volume of half full water in the tankh = height of the tankr = radius of the base of the tankπ = pieFrom the question,
Given:
r = 2 mh = 14 mπ = 3.14Substitute these values into equation 1
V = 3.14(2²)(14)/2V = 87.92 m³.Finally, to get the work needed to pump all the water to the top of the tank, we use the formula below.
W = ρVhg/2................. Equation 2Where:
W = Work needed to pump all the water to the of the tankρ = Density of the tankh = height of the tankV = Volume of halfull water in the tankg = acceleration due to gravityFrom the question.
Given:
ρ = 1000 kg/m³h = 14g = 9.8 m/s²V = 87.92 m³Substitute these values into equation 2
W = 1000(14)(9.8)(87.92)/2W = 6031312 JW = 6.03 MJ.Hence, The work needed to pump all of the water to the top of the tank is 6.03 MJ.
Learn more about work here: https://brainly.com/question/8119756
Please help I keep getting this Wrong
Answer:
43
Step-by-step explanation:
if EF(part) = 18 and DF(the whole line) = 61
61-18 is 43. 43=DE
Please give brainliest thanks
The advertisement above shows the terms of a certificate of deposit (CD) at a local bank.
Suppose Robert invests $1,200 in the CD for a period of 3 years. How much interest will he earn? How much will Robert have after 3 years?
Answer:
1. The interest is $ 117.
2. The amount is $ 1,317.
Step-by-step explanation:
The following data were obtained from the question:
Principal (P) = $ 1,200
Rate (R) = 3.25%
Time (T) = 3 years
Interest (I) =..?
Amount (A) =...?
1. Determination of the interest.
Principal (P) = $ 1,200
Rate (R) = 3.25%
Time (T) = 3 years
Interest (I) =..?
I = P × R × T / 100
I = 1200 × 3.25 × 3 / 100
I = $ 117
Therefore, the interest is = $ 117
2. Determination of the amount.
This can be obtained as follow:
Interest (I) = $ 117
Principal (P) = $ 1,200
Amount (A) =?
Amount (A) = principal (P) + interest (I)
A = P + I
A = 1200 + 117
A = $ 1,317
Therefore, the amount at the end of 3 years is $ 1,317
What is the area of this irregular figure?
Answer:
hey man if you figure this out comment back bc i need to know also. sorry and thanks!
Step-by-step explanation:
Answer:
A=192cm^2
Step-by-step explanation: Cut the shape. You now have Shape A and B.
Shape A is 8x8=64cm.
Shape B is 16x8=128cm
128cm+64cm= 192^2
Refer to the table of body temperatures (degrees Fahrenheit). Is there some meaningful way in which each body temperature
recorded at 8 AM is matched with the 12 AM temperature?
1
97.0
97.6
8 AM
12 AM
Subject
3
97.6
98.0
2
98.5
97.8
4
97.7
98.4
5
98.7
98.4
Choose the correct answer below.
A. No. The 8 AM temperatures are from one individual over five days and the 12 AM temperatures are from another
individual over five days.
B. Yes. The 8 AM temperatures are all from one individual over five days and the 12 AM temperatures are from a different
individual on the same five days, so each pair is matched.
C. Yes. Each column of 8 AM and 12 AM temperatures is recorded from the same subject, so each pair is matched.
D. Yes. The 8 AM temperatures are all from one individual over five days and the 12 AM temperatures are from the same
individual on the same five days, so each pair is matched.
Answer:
C
Step-by-step explanation:
i just did that question and got it right!!
One number is 3/8 of another number. The difference of the two numbers is 4.2. What is the lesser number
Answer:
2.52.
Step-by-step explanation:
If one number is x then the other = 3x/8.
Also x - 3x / 8 = 4.2
x - 0.375 x = 4.2
0.625x = 4.2
x = 4.2 / 0.625
x = 6.72.
So the lesser number is 6.72 * 0.375 = 2.52.
The lesser number is 2.52
If that one number is x, then we can agree that the other number is 3x/8.
Again, we are told that the difference between both is 4.2. Which means
x - (3x / 8) = 4.2
(8x - 3x)/8 = 4.2
8x - 3x = 8 * 4.2
5x = 33.6
x = 33.6/5
x = 6.72.
This means that the lesser number is 6.72 * 0.375 = 2.52.
Learn more here https://brainly.com/question/17279782
A city has a population of 12,961. How many people can fit on the football field if the field is
80 yards long and 45 yards wide? Can the population fit? Each person occupies 2.5 square feet
of space.
(3 Points)
Unit Conversion Factors Chart
1 foot
1 inch = 2.54 centimeters
12 inches
1 yard = 3 feet
0.621 miles = 1 kilometer
1 mile = 5,280 feet
1 meter = 100 centimeters
Answer/Step-by-step explanation:
Given:
Population = 12,961
Dimension of field:
length (l) = 80 yards = 80*3 = 240 ft (1 yd = 3 ft)
width (w) = 45 yards = 45*3 = 135 ft
Area of the field = l*w = 240*135 = 32,400 ft²
Area occupied by 1 person = 2.5 ft²
No of people the field can occupy = 32,400 ÷ 2.5 = 12,960
Exactly 12,960 people can fit into the field.
The population of the city, which is 12,961, is more than what the field can accommodate. Therefore, the population cannot fit in.
simplify
-4 1/5 (-13 1/10)
pls help
Answer:
55 1/50 or 2751/50
Step-by-step explanation:
Convert both expressions to improper form
Make their denominators the same
Multiply the numerators
Simplify the fraction if needed
Answer:
8/9/10
Step-by-step explanation:
Are two squares with the same side lengths scaled copies of one another? Explain your reasoning.
Answer:
Yes.
Step-by-step explanation:
Two squares with the same side lengths will always be a scale copy. Every side is equal because all sides are the same length if it wasn't that way it would be a rectangle or trapezoid.
A rectangle whose all sides are equal is called a square. The two squares with the same length side will be lengths scaled copies of one another.
What is a square?A rectangle whose all sides are equal is called a square.
A square is always a rectangle, parallelogram, and a quadrilateral but its reverse statement may or may not be true.(ie it is not always necessary that a rectangle is a square or a parallelogram is a square).
As it is known that two squares are always similar to each other which is because all the angles of a square are always 90°. Therefore, any two squares are always similar to each other.
Now, as it is given that the two square have the same length sides. Therefore, the two squares with the same length side will be lengths scaled copies of one another. This is because all the sides are equal and all the angles are equal.
Hence, the two squares with the same length side will be lengths scaled copies of one another.
Learn more about Squares here:
https://brainly.com/question/14198272
#SPJ2
swame and luigi were printing calendars swame used 21/2 cartridge, while luigi used 1 3/4 ink cartridges. how many more ink cartridges swame used than luigi?
Well i don't know if its correct but i hope it will help 8.78
Need help fast...
Match the input values on the left with the output values on the right. y = x/2 + 1 1)3 X 2)Y 2 3)2 4 4)4.5 7 5)5.5 9
Answer:
(X,Y)
(2,2)
(4,3)
(7,4.5)
(9,5.5)
Step-by-step explanation:
To match the input values with the output, substitute each value on the right into the equation.
1) x
[tex]\displaystyle\begin{aligned} y & = \frac{(x)}{2}+1 \\ \\ & = \frac{x}{2} + 1\end{aligned}[/tex]
The equation remains the same. Hence, x maps onto y.
2) 2
[tex]\displaystyle \begin{aligned} y &= \frac{(2)}{2}+1 \\ \\ & = 2\end{aligned}[/tex]
Therefore, map 2 with 2.
3) 4
[tex]\displaystyle \begin{aligned} y& = \frac{(4)}{2}+1 \\ \\ & = 3\end{aligned}[/tex]
Therefore, match 4 with 3.
4) 7
[tex]\displaystyle \begin{aligned} y& = \frac{(7)}{2}+1 \\ \\ & = 3.5 + 1 \\ \\ & = 4.5\end{aligned}[/tex]
Therefore, match 7 with 4.5.
5) 9
[tex]\displaystyle \begin{aligned} y& = \frac{(9)}{2}+1 \\ \\ & = 4.5 + 1 \\ \\ & = 5.5\end{aligned}[/tex]
And finally, match 9 with 5.5.
Answer:
thanks for the points
Step-by-step explanation:
The sum of three numbers is 110. The third number is 3 times the second. The first number is 5 less than the second. What are the numbers?
Answer:
1. 18
2. 23
3. 69
Step-by-step explanation:
y= 23
check it for your self
Answer:
18, 23 and 69
Step-by-step explanation:
Let x, y and z be the 3 numbers we are looking for.
● x + y + z = 110
z is 3 times y (z = 3y)
● x + y + 3y = 110
x is 5 less than y ( x = y -5)
● y-5 + y + 3y = 110
● 5y -5 = 110
Add 5to both sides
● 5y + 5 -5 = 110+5
● 5y = 115
Divide both sides by 5
● 5y/5 = 115/5
● y = 23
■■■■■■■■■■■■■■■■■■■■■■■■■
we have found that y = 23
● z = 3y
● z = 3×23
● z = 69
● x = y-5
● x = 23-5
● x = 18
Find an equation of the tangent plane to the surface at the point . Question 14 options: a) b) c) d) e)
This question is incomplete, the complete question is;
Find an equation of the tangent plane to the surface z=1y²−1x² at the point (-4, 3, -7).
z = .....................
Note: Your answer should be an expression of x and y; e.g. 3x - 4y + 6.
Answer:
Z = 8x + 6y + 7
Step-by-step explanation:
Given that z = 1y² - 1x²
with points (-4, 3, -7)
so
Z = y² - x²
Equation of tangent plane to the surface Z = f(x,y) at the points ( x₀,y₀,z₀) is
Z - Z₀ = fx (x₀,y₀)(x-x₀) + fy (x₀y₀)(y-y₀)
therefore
Z = f(x,y) = y² - x²
fx = -2x, fx (-4, 3, -7) = -2(-4) = 8
fy = -2y, fy ( -4, 3, -7 ) = 6
Z + 7 = 8(x+4) + 6(y-3)
Z + 7 = 8x + 32 + 6y - 18
Z + 7 = 8x + 32 + 6y - 18
Z + 7 = 8x + 6y + 14
Z = 8x + 6y + 14 - 7
Z = 8x + 6y + 7
Class: Constructing graphs Student Activity Sheet 2; Exploring "Representing data" Date Page 2 of 7 3. What do you notice about the vertical axis used in Graph A? How does this affect the way the data are displayed? FA Graph A 24 The 520 16 Benton population in 1000s 12 2002 2004 2008 2008 2010 Year.
Answer:
Explained below.
Step-by-step explanation:
The vertical axis of Graph A represents the year for which the population of Benton is recorded.
Also the axis represents every other year, i.e. 2002, 2004, 2006 and so on.
This implies that the data is recorded for every other year.
Consider the data provided:
Benton population in 1000s Year
10 2002
11 2004
12 2006
13 2008
14 2010
For every 2 years the population of Benton is increasing by 1000.
That is for every year the population of Benton is increasing by 500.
If we make the vertical axis using the years:
2001, 2002, 2003, 2004, 2005, 2006 and so on, the graph will remain same with more points to plot.
So, on altering the vertical axis the graph does not changes much.
help please!!!!! asap
Answer:
[tex]w \leq \: 26[/tex]Step-by-step explanation:
[tex] \frac{9w - 4}{5} \leq \frac{7w + 2}{4} [/tex]First of all cross multiply
That's
[tex]4(9w - 4) \leq5(7w + 2)[/tex]Expand the terms
[tex]36w - 16 \leq \: 35w + 10[/tex]Add 16 to both sides
That's
[tex]36w + 16 - 16 \leq \: 35w + 10 + 16 \\ 36w \leq35w + 26[/tex]Subtract 35w from both sides
We have
[tex]36w - 35w \leq35w - 35w + 26 \\ [/tex]We have the final answer as
[tex]w \leq \: 26[/tex]Hope this helps you
Think about what you learned about New Netherland. Which of these statements are true? Check all the statements that correctly describe New Netherland. A. People immediately began to settle New Netherland in great numbers. B. Settlers in New Netherland were often from many different countries. C. New Netherland grew slowly. Early colonists were most interested in the fur trade.
Answer:
B,C,D
Step-by-step explanation:
Just answered the question
Please help me with this.
Answer:
67*3=201
bcoz there were two decimals in 0.67 and one decimal point in 0.3 hence we multiply them normally as shown above.
below is the ryt answer
0.67*0.3=0.201
hop u understood
tnxx
3. Bob Baffert hos iwo thoroughbred horses in his bom that he brings out
every morning to train for the upcoming rocos. Hoppertunity is a horso
training for a 2.400 meter race and Dortmund is a horse training for an
1,800 meter race. In a given workout, Hoppertunity and Dortmund start
running at the same time. Dortmund runs twice as fast at Hoppertunity:
however, Hoppertunity starts 200 meters ahead of Dortmund. After 12.5
seconds, Dortmund catches up with Hopperlunily.
Letr represent Hoppertunity's rate, Match expressions to the boxes and
symbols to the circles to create an equation that can be used to find the
rate at which Hoppertunity runs. Not all expressions and symbols will be
used, and you may use an expression and/or symbol twice.
2r
2
12.5
15
200
400
000000000 3
Answer:
12.5r + 200 = 12.5*2r
Step-by-step explanation:
GivenRate of Hoppertunity = r
Rate of Dortmund = 2r as it is twice as fast
SolutionLet the distance Hoppertunity runs be d, then the distance Dortmund runs is d + 200 m
Since it took 12.5 seconds Dortmund to catch Hoppertunity, it can be expressed as:
d = 12.5r for Hoppertunity d + 200 =12.5*2r for DortmundBy replacing d in the second equation, we get:
12.5r + 200 = 12.5*2rSoving:
12.5r = 200r = 200/12.5r = 16 m/secHoppertunity's rate is 16 m/sec
Dortmund's rate is 32 m/sec
solve for h.
please help<3
Answer:
h=2A/a+b
Step-by-step explanation:
Distribute the terms
Divide by two
Isolate h
That would be the steps
what is the square root of 27
The answer is:
5.19615
Write an equation for the nth term of the sequence 4, 12, 36, 108, .
Answer:
26,244
Step-by-step explanation:
First, find the pattern with the numbers you already have. That pattern is × 3.
Since you're already at the fourth term, just keep multiplying your product by 3 until you get to the ninth term.
108 × 3 = 324
324 × 3 = 972
972 × 3 = 2,916
2916 × 3 = 8748
8748 × 3 = 26244
Therefore, your answer is 26,244.
Simplify the equation 4x+3y=2x
Answer:
2x=3y or x= -3y/2 and y =2/-3y
Step-by-step explanation:
4x-2x=-3y
2x=-3y
Answer:
Two options:
2x + 3y = 0
or
2x =-3y
Step-by-step explanation:
4x + 3y = 2x
4x - 2x + 3y = 0
2x + 3y = 0
2x = -3y
Adrienne and Suki simplified expression -8 minus -6 who’s answer is correct explain where the error was made
Which of the following is true statement?
The awncer is: B
just do it by 2
The data represents the body mass index (BMI) values for 20 females. Construct a frequency distribution beginning with a lower class limit of 15.0 and use a class width of 6.0. 17.7. 33.5. 26.6 24.7
28.8. 23.8. 18.3. 22.1
19.2. 22.6. 22.7. 38.9
27.3. 44.9. 32.2. 23.9
Kindly note that the data supplied is not up to 20. Hence, the answer will be based on the number of data given.
Answer:
Step-by-step explanation:
Given the following data:
BMI of 20 females :
17.7. 33.5. 26.6 24.7
28.8. 23.8. 18.3. 22.1
19.2. 22.6. 22.7. 38.9
27.3. 44.9. 32.2. 23.9
Lower class limit (LCL) = 15.0
Class width = 6.0
Class_interval_____frequency
15.0 - 20.9 _________3
21.0 - 26.9 _________7
27.0 - 32.9 _________3
33.0 - 38.9 _________2
39.0 - 44.9 _________1
1 .What is the median of the set of values?What is the median of the set of values? 6, 8, 10, 4, 8, 2,
2 .What is the mode of the data set below?
5, 4, 0, 1, 1, 0, 2, 2, 3, 1, 0, 4, 1, 1, 5, 2, 4
3.On spring break, Mirna went to Florida. She collected 6 seashells. The following set of data shows the weight of each seashell in ounces. 16, 17, 13, 12, 18, 20 What is the mode of this set of data? The data set shows the ages of students going to the museum. Choose the values that are equal to 12.
Answer:
1. 7
2. 1
3. no mode
Step-by-step explanation:
1. Ordering the data from least to greatest, we get:
[tex]2, 4, 6, 8, 8, 10[/tex]Since there is an even number of items, we compute the median by taking the mean of the two middlemost numbers, 6 and 8:
[tex]6+8=14[/tex][tex]14\div2=7[/tex]So the median is 7.
2. Put in order:
[tex]0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 4, 5, 5[/tex]Count:
0 (3 times)1 (5 times)2 (3 times)3 (1 time)4 (3 times)5 (2 times)Find the number that occurs most frequently which is 1 (5 times)
3. Put in order:
[tex]12, 13, 16, 17, 18, 20[/tex]If the values in a given set all occur the same number of times, the data set has no mode because no number is any more common than any other.
help me please:)) ........
Answer:
True
Step-by-step explanation:
<---------->
Find the corrdinates of the missing endpoint if e is the midpoint of DF F(2’9) e(-1,6)
Answer:
(-4,3)
Step-by-step explanation:
(x1 + 2)/2 = -1
x1 = -4
(y1 + 9)/2 = 6
y1 = 3
So, the other endpoint is (-4,3) .
The missing endpoint is D(-4,3).
What is midpoint of line segment?In geometry, the midpoint of the line segment is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.
Now it is given that,
Midpoint of line segment, e(x,y) = (-1,6)
one endpoint of line segment, F(x₁,y₁) = (2,9)
∴one endpoint of line segment, D(x₂,y₂)
Now since endpoint of line segment is given as,
{[(x₁+x₂ )/2] , [(y₁+y₂ )/2]}
Therefore,
x = (x₁+x₂ )/2
y = (y₁+y₂ )/2
Put the values we get,
-1 = (2+x₂)/2
-2 = (2+x₂)
⇒ x₂ = -2 -2
⇒ x₂ = -4
Again,
6 = (9+y₂ )/2
12 = 9+y₂
⇒ y₂ = 12-9
⇒ y₂ = 3
So, the endpoint is (-3,4)
Hence,The missing endpoint is D(-4,3).
To learn more about midpoint of line segment :
brainly.com/question/12774890
#SPJ1
Which statements are correct? Check all that apply.
point F → point F'
parallelogram DEFG → parallelogram G'F'E'D'
Point D of the pre-image corresponds to point D' of the image.
ED of the pre-image corresponds to G'F' of the image.
Parallelogram DEFG maps to parallelogram D'E'F'G'.
Answer:
a c e
Step-by-step explanation:
just did it
Answer:
A. Point F → point F'
C. Point D of the pre-image corresponds to point D' of the image.
E. Parallelogram DEFG maps to parallelogram D'E'F'G'.
Step-by-step explanation: This is the correct answer on Edge 2021, just did the assignment. Hope this helps ^-^.
Help me out please thank you!
Answer:
[tex]8^{18}[/tex]
Step-by-step explanation:
[tex]8^15 / 8^-3\\=8^{15-(-3)}\\=8^{15+3}\\=8^{18}[/tex]
Which best describes the association shown in the scatter plot?
A. no association
B. strong negative
C. strong positive
D. moderate positive