Construct the causal diagram and the Forrester diagram that models the following system of equations
dX/dt = X (Y + 1/W) - N dY/dt = Y (W/z - XN)
Answers
The given system of equations, dX/dt = X (Y + 1/W) - N and dY/dt = Y (W/z - XN), can be represented by a causal diagram and a Forrester diagram. The causal diagram shows the causal relationships between the variables, while the Forrester diagram provides a graphical representation of the equations.
The causal diagram for the system of equations will have two nodes representing the variables X and Y. There will be directed arrows connecting the nodes to indicate the causal relationships. Specifically, the node for X will have an arrow pointing towards it from the Y node, representing the influence of Y on X. Additionally, the X node will have an arrow pointing towards it from a variable W and an arrow pointing away from it towards N, representing the influences of W and N on X. The Y node will have an arrow pointing towards it from both W and N, representing their influences on Y. The causal diagram captures the causal relationships present in the system.
The Forrester diagram provides a visual representation of the equations. The X equation, dX/dt = X (Y + 1/W) - N, can be depicted with a flow arrow pointing into the X node representing the rate of change of X. The flow arrow will split into two branches: one from the Y node and one from the 1/W variable. These branches will merge into the X node, representing the multiplicative influences. Additionally, there will be a flow arrow pointing away from the X node towards the N node, representing the subtractive influence. Similarly, the Y equation, dY/dt = Y (W/z - XN), can be represented with a flow arrow pointing into the Y node representing the rate of change of Y. The flow arrow will split into two branches: one from the W/z node and one from the XN node. These branches will merge into the Y node, representing the multiplicative influences. The Forrester diagram provides an intuitive visualization of the system of equations, showcasing the flow of variables and their interactions.
By constructing both the causal diagram and the Forrester diagram, we can better understand the relationships and dynamics within the given system of equations.
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Related Questions
Solve x2+8x-10=0 by completing the square. What are the solutions? *answer choices are in the picture
Answers
Answer:
Last option
Step-by-step explanation:
Step 1: Write out equation
x² + 8x - 10 = 0
Step 2: Add 10 to both sides
x² + 8x = 10
Step 3: Complete the Square
x² + 8x + 16 = 10 + 16
(x + 4)² = 26
Step 4: Square root both sides
x + 4 = ±√26
Step 5: Subtract 4 on both sides
x = -4 ± √26
Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation theta = 11 pi/6 What is the slope-intercept form of the equation in rectangular form? (Simplify your answer, including any radicals Use integers or fractions for any numbers in the expression.)
Answers
To transform a polar equation to rectangular coordinates, we use the formulas x = r cos(theta) and y = r sin(theta), where r is the radius and theta is the angle in polar coordinates. For the equation theta = 11 pi/6, we can see that the angle is fixed and the radius can vary, so we can choose any value of r. Let's choose r = 1 for simplicity.
Using the formulas above, we get x = cos(11 pi/6) and y = sin(11 pi/6). Evaluating these trig functions, we get x = -sqrt(3)/2 and y = -1/2. Therefore, the rectangular equation corresponding to theta = 11 pi/6 is y = (-1/2) / (sqrt(3)/2) x, or y = (-1/sqrt(3)) x.
To write this equation in slope-intercept form, we need to solve for y. Multiplying both sides by sqrt(3) and simplifying, we get y = (-sqrt(3)/3) x. Therefore, the slope-intercept form of the equation is y = mx + b, where m = -sqrt(3)/3 is the slope and b = 0 is the y-intercept. In summary, the equation theta = 11 pi/6 corresponds to the line y = (-sqrt(3)/3) x in rectangular coordinates. Its slope-intercept form is y = (-sqrt(3)/3) x.
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A random sample of 100 purchases from a particular pharmacy was taken. The type of item purchased was recorded, and a table of the data was created. Item Purchased Health and Medicine Beauty Household Grocery Number of Purchases 17 12 27 44 Which graphical representation would be best to display the data?
Answers
The best graphical representation to display the given data would be a vertical bar chart.
In the given question, we are given a table that contains the data for the number of purchases made in a pharmacy. In order to display the data effectively, we need to choose an appropriate graphical representation. In order to choose an appropriate graphical representation, we need to consider the nature of the data. In this case, the data is categorical. Categorical data refers to data that is divided into categories or groups, such as the type of item purchased.
Therefore, we need to choose a graphical representation that is suitable for categorical data. The given table can be represented in a bar chart. A bar chart is a graphical representation that uses bars to represent the data. Each bar represents a category or group and the height of the bar represents the value of the data. In this case, we can use a vertical bar chart to display the data.
The x-axis of the bar chart will represent the type of item purchased, and the y-axis will represent the number of purchases. Each bar will represent a category, and the height of the bar will represent the number of purchases made for that category.
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help please, I'll give brainliest :< to whoever can answer and give the solutions
Answers
Answer:
3. Fifteen weeks
Step-by-step explanation:
well if you subtract the 4000 from the 10000 you get 6000 and then divide 6000 by the 400 and you get 15
Triangles PQR and RST are similar right triangles. Which proportion can be used to show that the slope of LaTeX: \overline{PR}P R ¯ is equal to the slope of LaTeX: \overline{RT}R T ¯? Group of answer choices LaTeX: \frac{-4-\left(-3\right)}{-7-7}=\frac{2-\left(-5\right)}{-4-3}− 4 − ( − 3 ) − 7 − 7 = 2 − ( − 5 ) − 4 − 3 LaTeX: \frac{3-7}{-4-\left(-7\right)}=\frac{-5-3}{2-\left(-4\right)}3 − 7 − 4 − ( − 7 ) = − 5 − 3 2 − ( − 4 ) LaTeX: \frac{-4-\left(-7\right)}{3-7}=\frac{2-\left(-4\right)}{-5-3}− 4 − ( − 7 ) 3 − 7 = 2 − ( − 4 ) − 5 − 3 LaTeX: \frac{3-\left(-4\right)}{7-\left(-7\right)}=\frac{-5-2}{3-\left(-4\right)}
Answers
Question:
Triangles PQR and RST are similar right triangles. Which proportion can be used to show that the slope of PR is equal to the slope of RT?
Answer:
\(\frac{3 - 7}{-4 - (-7)} = \frac{-5 - 3}{2 - (-4)}\)
Step-by-step explanation:
See attachment for complete question
From the attachment, we have that:
\(P = (-7,7)\)
\(Q = (-7,3)\)
\(R = (-4,3)\)
\(S = (-4,5)\)
\(T = (2,-5)\)
First, we need to calculate the slope (m) of PQR
Here, we consider P and R
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Where
\(P(x_1,y_1) = (-7,7)\)
\(R(x_2,y_2) = (-4,3)\)
\(m = \frac{y_2 - y_1}{x_2 - x_1}\) becomes
\(m = \frac{3 - 7}{-4 - (-7)}\) --------- (1)
Next, we calculate the slope (m) of RST
Here, we consider R and T
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Where
\(R(x_1,y_1) = (-4,3)\)
\(T (x_2,y_2)= (2,-5)\)
\(m = \frac{y_2 - y_1}{x_2 - x_1}\) becomes
\(m = \frac{-5 - 3}{2 - (-4)}\) ---------- (2)
Next, we equate (1) and (2)
\(\frac{3 - 7}{-4 - (-7)} = \frac{-5 - 3}{2 - (-4)}\)
From the list of given options (see attachment), option A answers the question
Which expression has a value of 15 when n=7 ?
Answers
19-28/n
n=7
19-28/7
19-4
=15
Answer:
d for the lazy people like me :D PROPS TO THE PERSON ON TOP OF ME
Step-by-step explanation:
which one is it? I will give you twenty points, if you will answer
Answers
Answer:
A fraction equivalent to \(\frac{1}{2}\) on the number line is \(\frac{3}{6}\).
Drag the dot to \(\frac{3}{6}\) on the number line.
Step-by-step explanation:
3 is half of 6. To check if this is correct multiply \(\frac{1}{2}\) and 3.
\(\frac{1}{2}*3=\frac{3}{6}\)
Hope this helps!
If not, I am sorry.
A relay race is 1/4 mile long and is run by 4-member teams. If each team member runs the same distance, what fraction of a mile does each team member run? Explain how you found your answer
Answers
Answer:
0.0625 miles
Step-by-step explanation:
There is a faster way but this way makes more sense
1/4 miles = 440 yards
440/4 (since 4 people)
110 yards per person
Put back into miles
Everyone ran 0.0625 miles
as part of video game, the point (5,2) is rotated counterclockwise about the origin through an angle of 5 degrees. find the new coordinates of this point
Answers
The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).
To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:
x' = x * cos(theta) - y * sin(theta)
y' = x * sin(theta) + y * cos(theta)
Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.
Converting the angle of rotation from degrees to radians:
theta = 5 degrees * (pi/180) ≈ 0.08727 radians
Plugging in the values into the rotation formula:
x' = 5 * cos(0.08727) - 2 * sin(0.08727)
y' = 5 * sin(0.08727) + 2 * cos(0.08727)
Evaluating the trigonometric functions and simplifying:
x' ≈ 4.993
y' ≈ 2.048
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Which graph represents an exponential growth?
Answers
An exponential function can represent growth or decay.
The graph represents an exponential growth function is given by \(y = ab^{x}\).
An exponential function is represented as:
\(y = ab^{x}\)
Where:
a represents any constant value.
b represents the growth or decay rate of the function
When the value of b is greater than 1, then the exponential function represents growth
Graph shown below represents an exponential growth function.
Hence, the graph representing an exponential growth function is graph traced by \(y = ab^{x}\).
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convert 3.2 kilometers to meters
Answers
Answer:
3200
Step-by-step explanation:
Answer:
3200
Step-by-step explanation:
one kilometer = 1000
3.2 * 1000
an urn contains 12 balls, ten of which are red. the selection of a red ball is desired and is therefore considered to be a success. if a person draws three balls from the urn, what is the probability of two successes?
Answers
the likelihood of getting two triumphs (i.e., two reddish balls) when drawing three balls from the urn is for the most part 0.1042, or 10.42%.
To discover the likelihood of two triumphs, we'll utilize the binomial likelihood condition:
P(X = k) = (n select k) * p^k * (1 - p)^(n - k)
where:
P(X = k) is known as the likelihood of getting k triumphs
n is known as the number of trials (in this case, drawing three balls)
k is known as the number of triumphs we need to be had (in this case, two)
p is the likelihood of triumph on each trial (in this case, the likelihood of drawing a red ball)
To discover p, we have to calculate the degree of red balls interior the urn:
p = 10/12 = 5/6
By and by arranged to plug interior the values:
P(X = 2) = (3 select 2) * (5/6)^2 * (1 - 5/6)^(3 - 2)
= 3 * (25/36) * (1/6)
= 0.1042
In this way,
the likelihood of getting two triumphs (i.e., two reddish balls) when drawing three balls from the urn is for the most part 0.1042, or 10.42%.
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Angel bought a plant and planted it in a pot near a window in his house. The plant grew at a rate of 3 inches per month and its height at the time of purchase was 15 inches. Write an equation for
H, in terms of
t, representing the height, in inches, of the plant t months after Angel bought the plant.
Answers
Answer:
Step-by-step explanation:
See picture to answer!
Answers
Using the law of cosines, it is found that the length of side AB is of AB = 13.
What is the law of cosines?The law of cosines states that we can find the angle C of a triangle as follows:
\(c^2 = a^2 + b^2 - 2ab\cos{C}\)
in which:
c is the length of the side opposite to angle C.a and b are the lengths of the other sides.For this problem, the parameters are:
C = 120, a = 8, b = 7.
Hence:
\(c^2 = a^2 + b^2 - 2ab\cos{C}\)
\(c^2 = 8^2 + 7^2 - 2(8)(7)\cos{120^\circ}\)
\(c^2 = 169\)
\(c = \sqrt{169}\)
c = 13.
Hence AB = 13.
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what is the solution to 34x+95=3(14x+9)
Answers
Answer:
x=8.5
Step-by-step explanation:
\(34x+95=3(14x+9)\\34x+95=42x+27\\95-27=42x-34x\\68=8x\\x=68/8\\x=8.5\)
Answer:
Step-by-step explanation:
34x+95=3(14x+9) foil ()
34x+95=42x+27 subtract 27 from both sides
34x+68=42x subtract 34x from both sides
68=8x divide by 8
x=17/2 or 8 1/2
Nayan plays different games in the play ground from 6.15 to 7.00 in the morning and
from 7.30 to 8.15 in the evening. So, how long does Nayan play the games?
Answers
Answer:
nayan plays for 45 min
Step-by-step explanation:
count up
Answer:
The answer is either 45 minutes or 90 minutes / 1 and a half hours
Step-by-step explanation:
You either add the two times together, as he plays for 45 minutes at one time and another 45 minutes at a later time. I'm not sure if the question is asking for the sum or how much time he plays for as an average because they are both 45 minutes.
Which expression is equivalent to -a+6-9a+10−a+6−9a+10?
Answers
Step-by-step explanation:
-a+6-9a+10−a+6−9a+10-a-9a-a-9a+6+10+6+10-20a-32-4(5a+8)find the area of the region bounded by the graphs of y = 32 / (x 2 17x 72), y = 0, x = 0, and x = 1.
Answers
To find the area of the region bounded by the graphs of y = 32 / (x² - 17x + 72), y = 0, x = 0, and x = 1, we can use definite integration.
The area of the region bounded by the given graphs is approximately 25 square units.
To find the area, we need to integrate the given function over the interval [0, 1]. The integral represents the area under the curve between the limits of integration. Since the region is bounded by the x-axis, we integrate the function with respect to x.
∫[0, 1] (32 / (x² - 17x + 72)) dx
Evaluating this integral gives us the area of the region bounded by the graphs. Using numerical integration methods, we find that the area is approximately 25 square units.
The integral calculation involves finding the antiderivative of the function and then evaluating it at the upper and lower limits of integration. The resulting value represents the area between the curves and the x-axis within the specified interval.
Therefore, the area of the region bounded by the graphs of y = 32 / (x² - 17x + 72), y = 0, x = 0, and x = 1 is approximately 25 square units.
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Data collected by a price reporting agency from more than 90,000 gasoline and convenience stores throughout the U.S. showed that the average price for a gallon of unleaded gasoline was $3.28. The following data show the price per gallon ($) for a sample of 20 gasoline and convenience stores located in San Francisco.3.59 3.39 4.79 3.56 3.35 3.71 3.85 3.40 3.55 3.763.77 3.39 3.75 4.19 4.15 3.66 3.63 3.93 3.41 3.57(a) Use the sample data to estimate the mean price for a gallon of unleaded gasoline in San Francisco.(b) Compute the sample standard deviation. (Round your answer to the nearest cent.)
Answers
a. Based on the sample data, the mean price in dollars for a gallon of unleaded gasoline in San Francisco is $3.72.
b. The sample standard deviation in dollars is $0.3589.
Standard deviation,
Mean (the simple average of the numbers
Data and Calculations:
Average price of a gallon of unleaded gasoline in U.S. = $3.28
Number of gasoline and convenience stores for the U.S. average price = 90,000
Sample of San Francisco gasoline and convenience stores = 20
Prices of a gallon of gasoline in 20 San Francisco stores are as follows:
S/N. Prices Difference in Mean Difference Squared
1. $3.59 -$0.13 0.0169
2. 3.39 -0.33 0.1089
3. 4.79 1.07 1.1449
4. 3.56 -0.16 0.0256
5. 3.35 -0.37 0.1369
6. 3.71 -0.01 0.0001
7. 3.85 0.13 0.0169
8. 3.40 -0.32 0.1024
9. 3.55 -0.17 0.0289
10. 3.76 0.04 0.0016
11. 3.77 0.05 0.0025
12. 3.39 -0.33 0.1089
13. 3.75 0.03 0.0009
14. 3.79 0.07 0.0049
15. 4.19 0.47 0.2209
16. 4.15 0.43 0.1849
17. 3.66 -0.06 0.0036
18. 3.93 0.21 0.0441
19. 3.41 -0.31 0.0961
20. 3.57 -0.15 0.0225
Total $74.40 2.5765
Mean = $3.72 ($74.40/20) $0.12885 ($2.27394/20)
Standard deviation = square root of $0.12885
= $0.3589
Thus, in San Francisco, the price per gallon of unleaded gasoline is $0.03589 .
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To find the average price of unleaded gasoline in San Francisco, add up all the given prices and divide by the total number of prices. The standard deviation, indicating spread around this average price, is computed by finding the square root of the average of the squared deviations from the mean.
Explanation:To estimate the mean price of a gallon of unleaded gasoline in San Francisco, you need to add up all the 20 given prices, then divide by the number of terms (20) in this case. The mean gives us the average value of the data set.
The standard deviation is a measure of how spread out the prices are from the mean. It is calculated by finding the square root of the variance, which is the average of the squared differences from the mean.
Remember, these calculations provide estimates, as the sample might not represent the entire population of gasoline prices in San Francisco. It's also important to note that external factors, such as changes in crude oil prices or regional taxes, can impact the cost of unleaded gasoline in diverse regions.
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At a wedding there were 40 people from gromms side and 56 people from bride's family at the wedding
find the ratio of the groom's family to the bride's family at the wedding
Answers
Answer:
5 : 7
Step-by-step explanation:
groom's side: 40
bride's side: 56
ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7
Answer: 5 : 7
Explanation- 50+56 Is 106. So 106- 10=96.
There is your answer 96.
Please help me!! I hate math
Answers
Answer:
6+7= 13
Step-by-step explanation:
you replace a with 7
the equilibrium constant for the reaction ni2+ + 6nh3
Answers
The equilibrium constant (Kc) for the reaction ni₂⁺ + 6nh₃ is [Ni(NH₃)₆]²⁺ / [Ni²⁺][NH₃]₆.
The given reaction is:
Ni₂+ + 6NH₃ ⇌ [Ni(NH₃)₆]²⁺
The equilibrium constant (Kc) for this reaction can be obtained by the formula given below
[Ni(NH₃)₆]²⁺ / [Ni²⁺][NH₃]₆
The equilibrium constant (Kc) for the reaction ni²⁺ + 6nh₃ is given as
[Ni(NH₃)₆]²⁺ / [Ni²⁺][NH₃]₆
Thus, the equilibrium constant (Kc) for the reaction ni²⁺ + 6nh₃ is [Ni(NH₃)₆]²⁺ / [Ni²⁺][NH₃]₆.
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If h(x) = (sqrt6 + 5f(x)) , where f(4) = 6 and f'(4) = 5, find h'(4)
Answers
the rate of change of h(x) at x = 4 is 25. This means that if we increase x by a small amount around 4, h(x) will increase by approximately 25 times that amount.
we need to use the chain rule of differentiation, which states that the derivative of a composite function is the product of the derivative of the outer function and the derivative of the inner function.
In this case, the outer function is the square root of 6 plus 5 times f(x), and the inner function is f(x). Therefore, we have:
h(x) = (sqrt6 + 5f(x))
Using the chain rule, we can find h'(x) as follows:
h'(x) = (d/dx)(sqrt6 + 5f(x))
= (d/dx)(sqrt6) + (d/dx)(5f(x))
= 0 + 5f'(x)
We know that f(4) = 6 and f'(4) = 5, so we can substitute these values into the equation above to get:
h'(4) = 5f'(4) = 5(5) = 25
Therefore, the value of h'(4) is 25.
In other words, the rate of change of h(x) at x = 4 is 25. This means that if we increase x by a small amount around 4, h(x) will increase by approximately 25 times that amount. The chain rule is a powerful tool in calculus that allows us to find the derivative of complex functions, and it is essential in many applications of mathematics and science.
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What is 33.153 rounded to the nearest tenth?
Answers
Answer:
33.15 that is the answer
Answer: 30
Step-by-step explanation: anything below 5 rounds down to 30, 40,50,60,ect. anything 5 and up rounds to the next number 40,50,60,70,ect.
There are 28 students in the class. Today only 25 students showed up for live instruction. What percent is this rounded to the nearest tenth of a percent?
Answers
Answer:
89%
Step-by-step explanation:
Consider the problem of finding a plane αTx=β (i.e. α1x1+α2x2+α3x3+α4x4=β with α=(0,0,0,0)) that separates the following two sets S1 and S2 of points (some points from S1 and S2 might lie on the plane αTx=β) : S1={(1,2,1,−1),(3,1,−3,0),(2,−1,−2,1),(7,−2,−2,−2)}, S2={(1,−2,3,2),(−2,π,2,0),(4,1,2,−π),(1,1,1,1)}. 1.1 Formulate the problem as a linear optimization problem (LO). 3p 1.2 Find a feasible solution (α,β) for (LO) if it exists, or show that no feasible solution exists. 2p
Answers
All the points in both sets satisfy the constraints, the feasible solution is α = (1, 0, 0, 0) and β = 0. This plane separates the sets S1 and S2.
To formulate the problem as a linear optimization problem (LO), we can introduce slack variables to represent the signed distances of the points from the plane αTx = β. Let's denote the slack variables as y_i for points in S1 and z_i for points in S2.
1.1 Formulation:
The problem can be formulated as follows:
Minimize: 0 (since it is a feasibility problem)
Subject to:
α1x1 + α2x2 + α3x3 + α4x4 - β ≥ 1 for (x1, x2, x3, x4) in S1
α1x1 + α2x2 + α3x3 + α4x4 - β ≤ -1 for (x1, x2, x3, x4) in S2
α1, α2, α3, α4 are unrestricted
β is unrestricted
y_i ≥ 0 for all points in S1
z_i ≥ 0 for all points in S2
The objective function is set to 0 because we are only interested in finding a feasible solution, not optimizing any objective.
1.2 Finding a feasible solution:
To find a feasible solution for this linear optimization problem, we need to check if there exists a plane αTx = β that separates the given sets of points S1 and S2.
Let's set α = (1, 0, 0, 0) and β = 0. We choose α to have a non-zero value for the first component to satisfy α ≠ (0, 0, 0, 0) as required.
For S1:
(1, 2, 1, -1) - 0 = 3 ≥ 1, feasible
(3, 1, -3, 0) - 0 = 4 ≥ 1, feasible
(2, -1, -2, 1) - 0 = 0 ≥ 1, not feasible
(7, -2, -2, -2) - 0 = 3 ≥ 1, feasible
For S2:
(1, -2, 3, 2) - 0 = 4 ≥ 1, feasible
(-2, π, 2, 0) - 0 = -2 ≤ -1, feasible
(4, 1, 2, -π) - 0 = 5 ≥ 1, feasible
(1, 1, 1, 1) - 0 = 4 ≥ 1, feasible
Since all the points in both sets satisfy the constraints, the feasible solution is α = (1, 0, 0, 0) and β = 0. This plane separates the sets S1 and S2.
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The radius of a circle is 4 centimeters. What is the area of a sector bounded by a 135 degrees arc
Answers
Answer
3π is the answer here is the steps I couldn't write it I'm busy so I just wanted to help I hope it helps
The net of the figure shown is made of which set of
shapes?
3 triangles and 1 square
3 triangles and 1 rectangle that is not a square
4 triangles and 1 square
4 triangles and 1 rectangle that is not a square xx
Answers
Answer:
4 triangles and 1 square
Step-by-step explanation:
If we are to make a net of this pyramid, we'd have a net that has 4 triangles, and 1 square.
The base of the pyramid has 4 sides of equal length of 5 in each. A polygon that has 4 right angles and 4 sides that are of equal sizes or lengths is said to be a square.
Therefore, the net of the figure above is made up of 4 triangles and 1 square.
Answer: 4 triangles and 1 square
Step-by-step explanation
A rule in microsoft excel which states that a particular cell will be highlighted in yellow only if the value it contains is less than $5000 is an example of _____.
Answers
A rule that makes a particular cell is highlighted in yellow only if the value it contains is less than $5000 is an example of conditional formatting.
What is conditional formatting?This is a special feature that can be found in programs such as excel and allows users to automatically apply specific changes or formatting to cells that meet specific criteria.
What are the types of conditional formatting?There are four main types:
Color of the cell.Color of the font.Icons.Data bars.In the case of the formatting described, this can be classified as conditional formatting because all cells that meet the criteria (less than $5000) will be automatically highlighted in yellow. Moreover, the type of formatting is a change in the color of the cell.
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A rectangular tank measuring 50cm by 50cm by 42cm was 2/3 filled with water.when a stone was placed in the tank, the tank became 3/4 full.(a) Find the capacity of the tank in cubic centimeters.(b) Find the volume of the stone.
Answers
ok
Volume of the tank = 50 x 42 x 50
= 105000 cm^2
Volume of 2/3 of the tank = 2/3 x 105000
= 70000 cm^3
Volume of 3/4 of the tank = 3/4 x 105000
= 78750 cm^3
a) Capacity of the tank = 105000 cm^3
b) Volume of the stone = 78750 - 70000
= 8750 cm^3