Answer:
The answer is below
Step-by-step explanation:
The height of tank = 12 m = 1200 cm, the diameter of the tank = 8 meters, hence the radius of the tank = 8/2 = 4 m = 400 cm
Let h represent the water level = 8 m = 800 cm. The radius (r) of the water level at a height of 8 m is:
r/h = radius of tank/ height of tank
r/h = 400/1200
r = h/3
[tex]\frac{change\ in\ volume}{change\ in \ time}=water\ in-water\ out\\ \\\frac{dV}{dt=} water\ in-water\ out\\\\V=\frac{1}{3}\pi r^2h\\ \\r=\frac{1}{3}h \\\\V=\frac{1}{3}\pi (\frac{1}{3}h )^2h\\\\V=\frac{1}{9} \pi h^3\\\\\frac{dV}{dt} =\frac{1}{3} \pi h^2\frac{dh}{dt}\\\\\frac{dh}{dt}=2\ cm/min,h=8\ m=800\ cm\\\\[/tex]
[tex]\frac{dV}{dt} =\frac{1}{3} \pi (800)^2(2)=426666.7\ cm^3/min\\\\\frac{dV}{dt=} water\ in-water\ out\\\\426666.7\ cm^3/min= water\ in-water\ out\\\\426666.7\ cm^3/min= water\ in-20000\ cm/min\\ \\water\ in=426666.7\ cm^3/min+20000\ cm/min\\\\water\ in=446666.7 \ cm^3/min[/tex]
Which best describe an angle biscector
Step-by-step explanation:
I hope this helps : ) I added an attachment for your answer.
Find the dimensions of the rectangular box with largest volume if the total surface area is given as 4 cm2. (Let x, y, and z be the dimensions of the rectangular box).
Dimensions of the rectangular box with largest volume if the total surface area is given as 4 cm² : (√2/3 , √2/3 ,√2/3)
Given, rectangular box with largest volume.
Let f(x , y , z) = xyz
Ф ≡ xy + yz + xz - 2 = 0
[tex]F =[/tex] [tex]f + \lambda[/tex][tex]\phi[/tex]
[tex]F = xyz + \lambda (xy + yz + xz - 2)[/tex]
[tex]F_x = 0\\yz + \lambda(y + z) = 0......1\\\\F_y = 0\\xz + \lambda(x+z)= 0......2\\\\F_z = 0\\xy + \lambda(x + y) = 0..........3[/tex]
xy + yz + xz - 2 = 0........4
Solving the above 4 equations,
[tex]yz + \lambda(y + z) = 0\\\lambda = -yz/(y+z)\\\\xz + \lambda(x + z) = 0\\\lambda = -xz / (x+z)[/tex]
Evaluating the lambda values,
x = y
Similarly, y = z
Therefore, x² + x² + x² - 2 = 0
x = √2/3
y = √2/3
z = √2/3
Hence, Dimensions : (x , y , z) = (√2/3 , √2/3 ,√2/3)
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Need help got until 12:10
.The annual yield per orange tree is fairly constant at 270 pounds per tree when the number of trees per acre is 30 or fewer. For each additional tree over 30, the annual yield per tree for all trees on the acre decreases by 3 pounds due to overcrowding. Find the number of orange trees per acre, x, that maximizes the total yield for an acre, T, in pounds. What is the total maximum yield in pounds of oranges
Answer:
The answer is below
Step-by-step explanation:
Let the yield per hectare be Y and the number of orange trees per acre, x. For fewer than or 30 trees there is a yield of 270 pounds per tree, therefore:
Y(x) = 270 for x ≤ 30
If it is more than 30 trees the yield decreases by 3 pounds, hence:
Y(x) = 270 - 3(x - 30) = 360 - 3x for x > 30
The total yield T is given as T(x) = x × Y
T(x) = x × 270 = 270x for x ≤ 30
T(x) = x(360 - 3x) = 360x - 3x² for x > 30
The maximum yield is at T'(x) = 0
T'(x) = 360 - 6x
360 - 6x = 0
6x = 360
x = 360/6
x = 60
T(6) = 360(60) - 3(60²) = 10800 pounds
Let f(x)=1/2(4)^x−1 Evaluate
Answer:
[tex]f(x)=\frac{4^{x} }{2}-1[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{1}{2}(4)^{x} -1[/tex]
Combine [tex]\frac{1}{2}[/tex] and [tex]4^{x}[/tex]
[tex]f(x)=\frac{4^{x} }{2}-1[/tex]
Please help will MARK BRANLIEST!!
As part of a landscaping project, put in a flower bed measuring 10 feet by 20 feet. Surround the bed with a uniform border of low-growing plants.
a. Write a polynomial that describes the area of the uniform border that surrounds the flower bed.
b. The low growing plants surrounding the flower bed require 1 square foot each when mature. If there are 216 of these plants, how wide a strip around the flower bed should be prepared for the border?
Answer:
took me time to try and answer your question hope it proves helpful
A submarine cruised below the surface of the water. During a training exercise, it made 6 dives, each time descending 35 feet more. Then it rose 122 feet. What is the change in the submarine’s position?
Answer:
68 feet
Step-by-step explanation:
A submarine cruised below the surface of the water
During training exercise, each time descending= 45 feet
Number of dives= 4
Total distance he descended= 45×4 feet
Total distance he descended= 180 feet
Then, it rose by= 112 feet
Now , the distance he is at below the surface if water= 180- 112
The distance he is at below the surface if water= 68 feet
Now, he is at 68 feet below the surface of the Earth
Hence, the correct answer is 68 feet
Step-by-step explanation:
Geometric Sequence♡
5, -2, 4/5
the common ratio was 2/5
find the 10th term
For this question What is 4f-9-f+15
Answer:
3f+6
Step-by-step explanation:
To solve this, we combine like terms which are in this case 4f and f. 4f-9-f+15 is (4f-f)+(-9+15), which we simplify to 3f+6.
-7x+y=-19
8x-8y=8
What is the answer
The trainer's goal was to have Lucky gain weight. Was the goal met? Explain.
Answer:
Yes the trainer was successful in an attempt for lucky to gain weight.
Step-by-step explanation:
Lucky was a weak and thin body shaped person who came to a gym trainer to gain weight. The trainer started to guide Lucky that he has to go for supplements and heavy weight lifting in order to gain weight. After 3 month's of hard work lucky has finally gained weight from 55 kg to 88 kgs.
What is 50% of 180 miles?
Answer:
90 miles
Step-by-step explanation:
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Answer:
90
Step-by-step explanation:
180/2 = 90 (divided by 2 basically is saying half of 100% and in this case 180 is the 100%)
A jewelry store sells necklaces in lengths that vary from 16 inches to 22 inches. Any necklaces outside of this criteria are rejected by the store’s buyers and will not be offered for sale in the store. Write an equation representing the minimum and maximum necklace lengths sold by the jewelry store.
Answer:
16-22
Step-by-step explanation:
Answer:
i agree with the other person
Step-by-step explanation:
logan drew 4 hearts and 40 circles. What is the ratio of hearts to al shapes?
Answer:
1:11
Step-by-step explanation:
4(hearts):44(all) in simplest form is 1:11 because 4 and 44 are divisible by 4.
Answer:4:40
Step-by-step explanation:
Enter a numerical expression that represents sixty divided by the difference of t cubed and nineteen.
The expression that represents sixty divided by the difference of t cubed and nineteen will be 60 / (t³ - 19).
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The cube of the t is written as t³. Then the difference between the expression t³ and the numerical number 19 will be given as,
⇒ t³ - 19
Then the expression that represents sixty divided by the difference of t cubed and nineteen will be given as,
⇒ 60 / (t³ - 19)
The expression that represents sixty divided by the difference of t cubed and nineteen will be 60 / (t³ - 19).
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at its peak in online shopping site was selling about 420 items per second at this rate how many items would it sell in 30 mins( 1800 seconds?)
Answer:.
Step-by-step explanation:
The online shopping site would sell; 756000 items in 30 minutes
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
Given that the online site would sell 420 items in a second
To determine the number of items it would sell in 30 minutes first of all convert minutes into seconds.
To convert minutes into seconds, we will just multiply minutes with 60.
WE know that one minute is equal to 60 seconds.
Therefore 30 minutes = 30 x 60 seconds
30 minutes = 1800 seconds
Thus the number of items sold in 30 minutes be x.
now,
420 x 1800 = x
x= 756000
Hence, It is found that the site will sell 756000 items in 30 minutes.
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If the point (-2, -4) was reflected in the x-axis and then translates five units right and seven units down, what would be the coordinates of its image?
Answer:
(3,-3)
Step-by-step explanation:
First, plot the ordered pair (-2,-4). Since you're reflecting the ordered pair across the x-axis, change the -4 to a positive 4. Your new ordered pair should be (-2,4). The order pair when reflected across the x-axis is changing the positive or negative of the y value but keeping the x value the same(simple definition). Afterward, move/translate that reflected ordered pair across 5 units to the right which is (3,4). The last step is to translate that order pair 7 units down which will then give you your answer of (3, -3). I hope this helps you, I tried explaining it the best I could!
The coordinates of the image of the point (-2, -4) will be (3, -3).
What is translation of graph?
Function translation takes a function (and its graph) and, by adding and subtraction, moves the graph around the plane without changing its shape.
Given is a point (-2, -4) which is reflected along the x - axis.
Now, when a point is reflected across the x - axis, then its final coordinates will change according to the rule -
(x, y) ↔ (x, -y)
The given coordinates are (-2, -4) which on being reflected across the x - axis will become (-2, 4).
Now, it is given that after reflection, it is translated five units right and seven units down. We can define it by the rule -
(x, y) ↔ (x + 5, y - 7)
So the new coordinates of the image will be -
(-2, 4) ↔ (-2 + 5, 4 - 7) or (3, -3)
Therefore, the coordinates of the image of the point (-2, -4) will be (3, -3).
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Wendell’ Plumbing Supply sold metal piping at $36.50 per 15 yard length. What would
75.4 meter of piping cost? 1.0 meter = 1.09 yards
Which coordinate pair is a solution of the linear
equation below?
-X + 3y = 21
Click on the correct answer.
(3,-8)
(-3,8)
(3,8)
Answer:
slope is 4/3 and y intercept is -7
Step-by-step explanation:
3y+21=4x.........now subtract 21 from each side
3y=4x-21......now divide all terms by 3
y=%284%2F3%29x-7......there ya go ...slope is 4/3 and y intercept is -7
Answer:
B (-3,8)
Step-by-step explanation:
awnser A is incorrect because if you switch out the x for 3 and the y for -8. The equation would look like -3+3×(-8)=21. and after multiplying 3×-8 which equals -24. The equation turns into -3+(-24)=21 . And after adding -3 and -24 you get -27=21
awnser B is correct because if you switch out the x for -3 and the y for 8. The equation would look like -3+3×8=21. After multiplying 3×8 which equals 24. The equation turns into -3+24=21. And after adding -3and 24 which is pretty much subtracting you get 21=21.
Best apologies if incorrect
The graph shows how much money Ka'niya has in her savings account weeks after she started saving on a regular basis. How much money did Ka'niya have in her savings account when she started to save regularly?
Answer:
80
Step-by-step explanation:
Find the area of a rectangle with length of 80 inches and width of 17 inches.
Answer:
Step-by-step explanation:
Answer:
length times width
Step-by-step explanation:
80 time 17~
Define a direct variation equation
HELP!!!!!
find the slope of (7,7) and (4,19)
Answer:
-4
Step-by-step explanation:
y2-y1/x2-x1
solve for slope
Answer:
-4
Step-by-step explanation:
Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.
Set A
Set B
-3
7
-4
4
2
-2
The mapping diagram above does NOT represent a function since
for each number Jin Set A (the input) there are multiple mappings
from Set A (the input).
Answer:
For each number in set A, there is one mapping from set A (input) to set B (output), so the mapping represents a function
Step-by-step explanation:
The relation is a function if and only if each input value has only 1 output value
Examples:
The relation {(1, 2), (-3, 5), (0, 10)} is a function because every input has only one output, the input 1 has only output 2, the input -3 has only output 5, the input 0 has only output 10The relation {(-1, -2), (3, -5), (-1, 1)} is not a function because the input -1 has two outputs -2 and 1Let us solve the question
Use the given figure to find the inputs and their corresponding outputs
Set A →→→→ Set B
∵ -3 →→→→ 2
∵ -4 →→→→ 4
∵ 9 →→→→ -2
∵ 1 →→→→ 7
∵ Set A is the input and set B is the output
∵ There is only one arrow go from each value in set A to a value in set B
∴ For each number in set A, there is one mapping from set A to set B
∴ The mapping represents a function
For each number in set A, there is one mapping from set A (input) to set B (output), so the mapping represents a function
Can you guys help me find the supplements for question 6
Answer:
d
Step-by-step explanation:
i looked it up
Angela is playing with red and black marbles. The number of red marbles she has is three
more than twice the number of black marbles she has. She has 42 marbles in all. Which
system of equations can be used to find the number of red marbles, R, and black marbles, B?o
Answer:
We will need two equations, one that adds up to the total number of marbles, and the other which writes one type of marbles in terms of the other.
For the first equation we know that:
[tex]r + b = 42[/tex]
For the second we are told that "The number of red marbles she has is three more than twice the number of black marbles she has."
So we simply translate this into an equation being:
[tex]r = 2b + 3[/tex]
ratios equilvalent to 3:11
1.5d + 9.25 = 4 + 2.25d
what is d?
.
Answer:
d = 7
Step-by-step explanation:
1.5d + 9.25 = 4 + 2.25d
Combine the constants and the variables.
5.25 = 0.75d
Divide.
d = 7
4 + 3 (3 × 2)² - 1
how do I set up the account?
Answer:
111
Step-by-step explanation:
4) A can of juice contains 8% of vitamin A. How is this percent written as a decimal?
0.08
Step-by-step explanation:
When you convert percent to decimal, you have to remember that 1= the whole.
Do to convert it, you divide the whole number (8%) by 100 (0.08). Vice versa, you multiply by 100
