Brendan was in a boat observing a
lighthouse on a vertical cliff at an
angle of elevation of 54°. The cliff was
94 meters high. Find the horizontal
distance from brendan to the base of the cliff?
i don’t know what the answer is
Answer:
D= 68.3 meters
Step-by-step explanation:
The drawing makes a right angle triangle.
D is the distance from the boat to the bottom of the cliff
94 is the opposite and D is the adjacent.
54o is near the top.
tan(54)=94/D
1.37638192 = 94/D
We switch the denominator with the degree
D=94/1.37638192
We then divide.
D=68.29
Finally we round off
D= 68.3m
There are 10 teams in a basketball competition. Each team must play each of the other teams once. How many games will each team play? (A) 14 (B) 9 (C) 70 (D) 63
Two teams can be selected out of 10 teams in C(10,2) = 10!/8! 2! = 45 ways
=> If each team plays exactly 3 matches with each other team, number of matches will be 45 x 3 = 135.
:-)
Answer:
(B) 9Step-by-step explanation:
Number of teams = 10
Each team play each of the other 9 teams once.
Correct choice is B
Can anyone answer part B?
Answer:
(-3, 0) and (-1, 0)
Step-by-step explanation:
roots of the eqn = the x-intercepts (if any)
Topic: Quadratic Graphs.
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i need help showing my answer -7/12 + 1/2
Answer -1/12
Step-by-step explanation:
-7/12 + 1/2 cannot be added until you change 1/2 into 6/12.
To change 1/2 to 6/12, you have to multiply 1/2 by 6 because you want the same denominator. Since you can't just make a whole new fraction by changing the denominator, you have to multiply the numerator by 6 as well.
After changing the fraction, you should get -7/12 + 6/12.
now you can just add the numerators and denominators together and get -1/12!
Pick the correct inequality.
A .
B.
C.
D .
Answer:
B
Step-by-step explanation:
-6 -------------------->
---------------> = x
x ------>
-6 NOT 6
Therefore is B
Residents of the town of Maple Grove who are connected to municipal water supply are billed a fixed amount yearly plus a charge for each cubic foot of water used. A household using 1000 cubic feet was billed $90, while one using 1600 cubic feet was billed $105. What is the charge per cubic foot? How do you wite an equation for the total cost of a residen'ts water as a function of cubic feet of water used? How many cubic feet of water used would lead to a bill of $130. I am lost from the beginning of how to start this problem.
The charge per cubic foot is $0.05. The equation for the total cost of a resident's water is C(x) = 0.05x + 40. The number of cubic feet of water used that would lead to a bill of $130 is 2200.
We will use the given data to calculate the charge per cubic foot:Let x be the number of cubic feet of water used by a household and let y be the corresponding bill amount.
Case 1: When a household using 1000 cubic feet was billed $90.
Case 2: When one using 1600 cubic feet was billed $105.Subtracting case 1 from case 2, we get:$$105 - 90 = 15$$$$1600 - 1000 = 600$$So, the charge per cubic foot is:$$\frac{15}{600} = 0.025$$$$\implies 0.05 \text{ (for two decimal place)}$$ Hence, the charge per cubic foot is $0.05.
To write an equation for the total cost of a resident's water as a function of cubic feet of water used, we will use the given data:
$$\text{Fixed amount = } $40$$\text{Charge per cubic foot of water used = } $0.05$$\text{Number of cubic feet used = } x$$
Therefore, the equation for the total cost of a resident's water as a function of cubic feet of water used is:
$$C(x) = \text{(Charge per cubic foot of water used)}\times\text{(Number of cubic feet used)}+\text{(Fixed amount)}$$$$C(x) = 0.05x + 40$$
To find out how many cubic feet of water used would lead to a bill of $130, we will use the equation obtained above:
$$C(x) = 0.05x + 40
= $130$$$$\implies 0.05x
= $90$$$$\implies x
= \frac{90}{0.05}
= 1800$$
Therefore, the number of cubic feet of water used that would lead to a bill of $130 is 1800.
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Last weekend you attended a concert. You spent a total of $180. Twenty percent of the cost was for a parking pass. The rest of the money was used on 5 tickets. How much was each ticket?
Answer:
The cost of each ticket was $28.80
Step-by-step explanation:
20% of $180 is $36. 180-36=144. Since there were 5 tickets, the total would be $28.80 for each ticket, which was $144 in all.
The diameter of a circle is 2 feet. What is the circle's circumference?
d=2 ft
Use 3.14 for .
Answer:6.28
Step-by-step explanation:
you multaply 2 feet by 3.14 because diameter is cercumfrence times pie
64 (5x+4) solve for x (angles)
Answer: 320x + 256
Step-by-step explanation:
Statistics can add credibility to speech clims when used sparingly. true or false
Answer:
True
Step-by-step explanation:
Statistics can add credibility to speech clims when used sparingly.
name me brainiest please.
True, statistics can add credibility to speech claims when used sparingly. By incorporating accurate and relevant statistics in a speech, you can support your arguments and demonstrate your knowledge on the subject. However, it is essential to use them sparingly to avoid overwhelming the audience and maintain their interest in your message.
Statistics, when used appropriately and sparingly, can add credibility to speech claims. By incorporating relevant and reliable statistical data, speakers can support their claims with objective evidence. Statistics have the potential to provide context, demonstrate trends, or highlight the magnitude of a particular issue, thereby strengthening the credibility and persuasiveness of the speaker's arguments.
However, it is important to use statistics accurately, ensuring they are from reliable sources, properly interpreted, and presented in a clear and understandable manner. Overusing statistics or relying solely on statistical evidence without considering other forms of supporting evidence may weaken the overall impact of the speech.
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Which situation could be represented by the graph
Answer:
what graph
Step-by-step explanation:
Yuto has a bag containing 3 red marbles, 5 blue marbles, 2 green marbles, and 8 yellow marbles. Rin reaches into the bag, pulls out a blue marble, and puts it in her pocket. Then Misaki reaches in and pulls out a marble. What is the total number of possible outcomes for Misaki’s marble?
Answer:
17
Step-by-step explanation:
If Rin pulls out 1 blue marble from the bag then total marbles left in the bag now= 18 − 1 = 17
Now Misaki pulls out a marble: Probability of red marble= 3/17
probability of blue marble= 4/17
Answer:17
Step-by-step explanation:
if z is a standard normal random variable, what is the probability that z is between -2.4 and 0.4?
The probability that a standard normal random variable z is between -2.4 and 0.4 is approximately 0.6472.
To find the probability that a standard normal random variable z is between -2.4 and 0.4, we can follow these steps:
Step 1: Look up the cumulative probability corresponding to -2.4 in the standard normal distribution table. The cumulative probability at -2.4 is approximately 0.0082.
Step 2: Look up the cumulative probability corresponding to 0.4 in the standard normal distribution table. The cumulative probability at 0.4 is approximately 0.6554.
Step 3: Subtract the cumulative probability at -2.4 from the cumulative probability at 0.4 to find the probability between the two values:
P(-2.4 < z < 0.4) = 0.6554 - 0.0082
= 0.6472.
Therefore, The probability that z is between -2.4 and 0.4, when z is a standard normal random variable, is approximately 0.6472. This means that there is a 64.72% chance that a randomly selected value from a standard normal distribution falls within the range of -2.4 to 0.4.
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Consider the PDE au(x, t) = 4 d²u(x, t) 2 Ət əx² For each of BCs and ICs, solve the initial value problem. du(π,t) a) BCs: u(0,t)=0 = = 0 and əx IC: u(x,0) = x ANSWER: f(x)= n=1 u(2,t) = 0 and u(0,t)=0 u(x,0)=sin x ANSWER: f(x)=¹1_sin(2 + nx) na n=1 1+ 2 X b) BCs: IC: 8 (2n-1) T n+1 (-1)041 -4(2n-1)²t sin(2-nπ) nπ 1- 2 e sin (2n-1) 2 na sin X 2 -(nn)²t x -X
the solution for the initial value problem is: u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t) where λ = ± sqrt(-4n² / a), and n is a non-zero integer.
The given partial differential equation is:
au(x, t) = 4 * (d²u(x, t) / dt²) / (dx²)
a) BCs (Boundary Conditions):
We have u(0, t) = 0 and u(π, t) = 0.
IC (Initial Condition):
We have u(x, 0) = x.
To solve this initial value problem, we need to find a function f(x) that satisfies the given boundary conditions and initial condition.
The solution for f(x) can be found using the method of separation of variables. Assuming u(x, t) = X(x) * T(t), we can rewrite the equation as:
X(x) * T'(t) = 4 * X''(x) * T(t) / a
Dividing both sides by X(x) * T(t) gives:
T'(t) / T(t) = 4 * X''(x) / (a * X(x))
Since the left side only depends on t and the right side only depends on x, both sides must be equal to a constant value, which we'll call -λ².
T'(t) / T(t) = -λ²
X''(x) / X(x) = -λ² * (a / 4)
Solving the first equation gives T(t) = C1 * exp(-λ² * t), where C1 is a constant.
Solving the second equation gives X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) + C3 * cos(sqrt(-λ² * (a / 4)) * x), where C2 and C3 are constants.
Now, applying the boundary conditions:
1) u(0, t) = 0:
Plugging in x = 0 into the solution X(x) gives C3 * cos(0) = 0, which implies C3 = 0.
2) u(π, t) = 0:
Plugging in x = π into the solution X(x) gives C2 * sin(sqrt(-λ² * (a / 4)) * π) = 0. To satisfy this condition, we need the sine term to be zero, which means sqrt(-λ² * (a / 4)) * π = n * π, where n is an integer. Solving for λ, we get λ = ± sqrt(-4n² / a), where n is a non-zero integer.
Now, let's find the expression for u(x, t) using the initial condition:
u(x, 0) = X(x) * T(0) = x
Plugging in t = 0 and X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) into the equation above, we get:
C2 * sin(sqrt(-λ² * (a / 4)) * x) * C1 = x
This implies C2 * C1 = 1, so we can choose C1 = 1 and C2 = 1.
Therefore, the solution for the initial value problem is:
u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t)
where λ = ± sqrt(-4n² / a), and n is a non-zero integer.
Note: Please double-check the provided equation and ensure the values of a and the given boundary conditions are correctly represented in the equation.
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7 a 96 cm long line segment is divided into 3 parts in the ratio 2:9:5 . what is the length of the smallest part?
The length of the smallest part of the line segment is 12 cm.
The line segment of length 96 cm is divided into 3 parts with the ratio of 2:9:5. The given ratio is a part-to-whole ratio. We can find the lengths of the parts by applying the formula:
Part = Whole × Ratio
Part 1 = 96 cm × (2/16)
= 12 cm
Part 2 = 96 cm × (9/16)
= 54 cm
Part 3 = 96 cm × (5/16)
= 30 cm
Therefore, the length of the smallest part of the line segment is 12 cm.
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The quadrilaterals ABCD and JKLM are similar.
Find the length x of JK.
B
K
A
U
S
3. 5
2. 1
3
M
2. 1 L
D
3
c
X
0
X 5 ?
The length x of JK is 3.6 units
Here, quadrilaterals ABCD and JKLM are similar.
We know that the corresponding sides of similar triangles are in proportion.
So, by definition of similar triangles,
AB/JK = BC/KL = CD/LM = AD/JM
To find: the length x of JK
So, consider an equation
AB/JK = AD/JM
Substitute the length of each side in above equation.
4/x = 2/1.8
(4 × 1.8)/x = 2
(4 × 1.8)/2 = x
x = 2 × 1.8
x = 3.6
Therefore, the length of JK = 3.6 units
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The angle bisector of ∠PQR is Ray QE. If m∠PQE = 2n°, what is m∠PQR?
A. n°
B. 2n°
C. 4n°
D. 8n°
The angle bisector of ∠PQR is Ray QE. If m∠PQE = 2n°, m∠PQR= 4n°
Given :
The angle bisector of ∠PQR is Ray QE
\(m<PQE = 2n\)
QE bisects angle PQR. When any ray bisects an angle then it divides the angle equally.
so , m∠PQE= m∠EQR
m<EQR=2n
\(m<PQR= m<PQE+ m<EQR\\m<PQR= 2n+2n \\m<PQR= 4n\)
The measure of angle m∠PQR= 4n°
Option C is correct.
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∂²p/∂r² + 1/r ∂p/∂r = ϕμC/k ∂p/∂t
derivation of equations
1-partial derivative diffusivity equation spherical flow
2- partial derivative diffusivity equation hemi- spherical flow
The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.
1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.
2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.
1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.
2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.
In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.
These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.
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Each big square below represents one whole.
Answer:
103%
Step-by-step explanation:
each little box is 1%
What is the value of x?
Answer:
x=50
Step-by-step explanation:
2x+20=3x-30
2x-3x=-x
20+30=50
-x+50=0
-x=-50
x=50
given map is the plan of a house 16 cm long and 12cm broad if the actual length is 32 feet find the actual breadth of the house
Answer:
24 ft
Step-by-step explanation:
16 cm to 32 ft
multiply by two , and change units to ft
12 cm to ft scale
multiply by 2 and change units to ft
You get
24 ft
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Here's the solution,
the ratio of length and breadth of the house is :
=》16 : 12
=》4 : 3
so, let's take the actual breadth be ' x '
we know,
=》32 : x = 4 : 3
because it's the ratio of length and breadth of the house
so,
\( \dfrac{32}{x} = \dfrac{4}{3} \)
=》
\(x = 32 \times \dfrac{3}{4} \)
=》
\(x = 24\)
hence, the actual breadth of the house is 24 feet
Solve the inequality: -2z - 3 < 5
Answer:
z>-4
Step-by-step explanation:
Answer:
z>4
Step-by-step explanation:
-2z-3<5
add 3 to 5: -2z < 8
divide by -2: z < -4
but since you divided by a negative number, you have to change the way the inequality is facing so the answer is z>-4
Malia split up the large container of salsa that she bought equally into 5 bowls to place around her house for the party. If each bowl contained 8. 5 ounces of the salsa, which shows the correct equation and value of x, the total amount of salsa in the original container? StartFraction x over 5 EndFraction = 8. 5; x = 1. 7 ounces StartFraction x over 5 EndFraction = 8. 5; x = 42. 5 ounces 5 x = 8. 5; x = 1. 7 ounces 5 x = 8. 5; x = 42. 5 ounces.
The correct equation is 5x = 8.5, and the value of x, representing the total amount of salsa in the original container, is 1.7 ounces.
The correct equation and value of x to represent the total amount of salsa in the original container are:
5x = 8.5; x = 1.7 ounces
In this equation, x represents the amount of salsa in each bowl, and the total amount of salsa in the original container is represented by 5x since there are 5 bowls.
Since each bowl contained 8.5 ounces of salsa, we can substitute this value into the equation:
5x = 8.5
To find the value of x, we divide both sides of the equation by 5:
x = 8.5 / 5
x = 1.7 ounces
Therefore, the correct equation is 5x = 8.5, and the value of x, representing the total amount of salsa in the original container, is 1.7 ounces.
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For each prompt below, carefully and thoroughly follow the directions. For the graphs, be certain to accurately label all axes, curves, and points as appropriate. Use arrows to indicate the direction of any shifts. Show your work for any calculations.
Country X is currently maximizing its resources and employment to produce consumer goods and capital goods. The government has a balanced budget.
(a) Illustrate the economy of Country X on a fully labeled production possibilities curve, assuming increasing opportunity cost. Label a point where the economy is currently operating as point X.
(b) The government of Country X reduces the tax rates for interest earned on household savings. Would the national savings decrease, increase, or stay the same? Explain.
(c) On a fully labeled loanable funds market graph, illustrate the impact of the policy from part (b) on the equilibrium real interest rate and the equilibrium quantity of funds.
(d) Assume that Country X is still maximizing resource use. On your PPC graph from part (a), illustrate the short-run impact of the change in real interest rates. Illustrate a new production point as point R.
(e) In the long run, will the long-run aggregate supply of Country X decrease, increase, or stay the same? Explain.
Country Y
(f) Country Y has a real GDP per capita of $75, and it has a population of 2 million. Calculate Country Y's real GDP.
(g) Four years later, the GDP per capita of Country Y is $90. Assume there has been no technological advancement and no increase in physical capital in that time period. Identify a policy that could lead to this increase.
(h) Calculate the economic growth rate for Country Y over the time period described in part (f). Show your work.
(a) Country X's economy can be illustrated on a production possibilities curve (PPC) with increasing opportunity cost. The current operating point is labeled as point X.
(b) If the government of Country X reduces tax rates on interest earned from household savings, the national savings would increase. This is because lower tax rates provide an incentive for individuals to save more of their income.
(c) On a loanable funds market graph, the policy change mentioned in part (b) would shift the demand curve for funds to the right, leading to an increase in the equilibrium real interest rate and equilibrium quantity of funds.
(d) Assuming Country X is still maximizing resource use, the change in real interest rates would affect the PPC graph from part (a). A higher real interest rate would lead to a decrease in investment, shifting the PPC inward, resulting in a new production point labeled as point R.
(e) In the long run, the long-run aggregate supply of Country X would stay the same. Changes in real interest rates in the short run do not impact the potential output of an economy.
(a) Country X's economy is represented on a production possibilities curve (PPC), which shows the maximum combinations of consumer goods and capital goods that can be produced with the given resources and technology. Assuming increasing opportunity cost, the PPC would be concave, reflecting the trade-off between producing different types of goods. Point X on the curve represents the current operating point of the economy, where resources and employment are maximized.
(b) Reducing tax rates on interest earned from household savings would incentivize individuals to save more. This increase in savings would contribute to national savings. When individuals save more, it means they are consuming less of their income, allowing resources to be allocated towards investment. As a result, the national savings would increase.
(c) The policy change mentioned in part (b) would impact the loanable funds market. Lower tax rates on interest earned would increase the supply of loanable funds. This would shift the supply curve to the right, leading to a decrease in the equilibrium real interest rate and an increase in the equilibrium quantity of funds. The lower real interest rate would incentivize borrowing and investment, stimulating economic growth.
(d) Assuming Country X is still maximizing resource use, a change in real interest rates would impact the PPC graph from part (a). An increase in real interest rates would raise the cost of borrowing for firms, reducing their investment. This decrease in investment would result in a decrease in the production capacity of the economy, shifting the PPC inward. The new production point, labeled as point R, would reflect the short-run impact of the change in real interest rates.
(e) In the long run, changes in real interest rates do not affect the potential output or long-run aggregate supply of an economy. The long-run aggregate supply is determined by the economy's available resources, technology, and efficiency. While changes in real interest rates may impact investment and production in the short run, they do not alter the economy's productive capacity in the long run. Therefore, the long-run aggregate supply of Country X would stay the same.
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100 POINTS
please help !
Answer:
wjwjwjwjuwuwuwuueuejsnsjjdjejejenekjekekeikw
Answer:
do it yourself
Step-by-step explanation:
Stop cheating
How do you tell if a slope is steeper or flatter?
Lines have a larger m value, that is, m > 1 have steeper slope and lines having an m value between 0 and 1, usually in the form of a fraction have a flatter slope .
Slope is the rate of change in the dependent variable with respect to the independent variable.
For an equation of line of the type - y= mx +c , the slope is given by the m value.
Now, if the value of m > 1 like m=1,2,3, ... , the lines have a steeper slope and have a steep nature.
Similarly, if the value of m < 1 i.e. 0 < m < 1 like m=1/2,2/3, ... fractional values, the lines have a flatter slope and do not have a steep nature.
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Solving for Unknown Angle Measures
GEE
9
If angle 1 is 110°, what would the other angle
measures have to be in order for m | n and
all p?
4
Angle 2 =
3
n
Angle 3 =
2
Angle 4 =
m
Answer:
angle 4 is a full angle because it is represented full 110
Answer:
1 - 110
2 - 110
3 - 70
4 - 70
Write a letter to a friend in another country telling him or her about three ways in computer has made learning easier for students
Dear [Friend's Name],
I hope this letter finds you in good health and high spirits. I wanted to share with you some exciting developments in the field of education that have been made possible by computers. Here are three ways in which computers have made learning easier for students:
1. Access to Information: The internet, powered by computers, provides a wealth of information at our fingertips. Students can quickly search for information on any topic and have access to numerous articles, videos, and resources. This instant access to information makes researching and learning about new subjects much more convenient.
2. Online Collaboration: Computers enable students to collaborate with their peers, teachers, and experts from around the world through video conferencing, online forums, and group projects. This fosters teamwork and helps students gain diverse perspectives, making the learning process more engaging and enriching.
3. Personalized Learning: Educational software and applications on computers allow students to learn at their own pace, adapting to their strengths and weaknesses. This personalized approach to learning ensures that each student receives the support they need, ultimately leading to better learning outcomes.
These are just a few examples of how computers have revolutionized education and made learning easier for students. I hope you find these developments as fascinating as I do. Let's continue to share our knowledge and experiences in the ever-evolving world of education.
Wishing you all the best,
[Your Name]
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A closed top box with a square base is to have a volume of 4000 cubic inches. What are the dimensions that will minimize the amount of material used to build the box?.
The minimum dimensions to minimize the amount of material is 15.87 x 15.87 x 15.87 inch.
We need to know about the minimum function to solve this problem. The minimum function can be defined as the minimum value of the variable. It can be calculated by the derivative of the function. The minimum function can be written as
f'(s) = 0
where f'(s) is the derivative function
From the question above, the given parameter is
V = 4000 inch³
The cubic volume can be written as
s² x h = 4000
where s is the length of the base area and h is the height of the box.
the minimum value of the box refer to its surface area, hence
f(s) = 4sh + 2s²
f'(s) = 4h + 4s
4h + 4s = 0
h = s
It means that the length of the base area and the height must have the same dimension. The minimum volume should have a cube shape
V = s³
s³ = 4000
s = 15.87 inch
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QUESTION 1Given a n x m matrix A and m X p matrix B, if AB = 0 then A = 0 or B = 0.TrueFalseQUESTION 2Given an xm matrix A,an n x n identity matrix I, exists such that I, A = Al, = A.TrueFalse
Given:
\(A_{n\times m},B_{m\times p}\)If AB = 0,
Then it is not necessary that A=0 or B=0
To prove this, we consider an example:
Let n=m = p =2
Then AB is given as:
Clearly AB= 0 but A,B not equals to zero.
Hence, the given statement is not true.
Hence, the answer is false.