Suppose r(x) and t(x) are two functions with the same domain, and let
h(x)=r(x)+t(x).
suppose also that each of the 3 functions r, tand h, has a maximum value
in this domain (i.e. a value that is greater than or equal to all the other
values of the function).
let m = the maximum value of r(x),
n = the maximum value of t(x), and
p = the maximum value of h(x).
how might the following always be true that m+n=p?
Answers
Answer:
that's correct answer is yes
Step-by-step explanation:
yes
Related Questions
Calculate the line integral of the function v = x2 + 2yzâ + y²g from (0, 0, 0) the point (1, 1, 1) by the route (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1). (10/100)
Answers
To calculate the line integral of the given vector field, we will use the formula of line integral. For the given function, the formula will be:∫CF.v dlWhere v = (x²+2yz)i + y²j and dl = dx i + dy j + dz kTherefore,∫CF.(x²+2yz) dx + y² dy … (1)Here, C is the curve from point (0,0,0) to (1,1,1) along the given route, that is, (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1).∴
The above line integral is the required value. So, we need to evaluate this integral. To calculate the line integral of the given vector field, we will use the formula of line integral. For the given function, the formula will be:
∫CF.v dl
Where
v = (x²+2yz)i + y²j
and
dl = dx i + dy j + dz k
Therefore,
∫CF.(x²+2yz) dx + y² dy … (1)
Here, C is the curve from point (0,0,0) to (1,1,1) along the given route, that is, (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1).∴ The above line integral is the required value. So, we need to evaluate this integral.The integral is a line integral of a vector field, with the curve path of integration is given by C as follows: C: (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1)In other words, we need to evaluate the integral of the dot product of the vector field v with the differential of the curve:
∫CF.v dl...
where
v = (x²+2yz)i + y²j
and
dl = dx i + dy j + dz k
We must split the curve C into three distinct segments before we can start evaluating the integral. The segments will be from (0,0,0) to (1,0,0), from (1,0,0) to (1,1,0), and from (1,1,0) to (1,1,1).Let's start with the first segment, from (0,0,0) to (1,0,0). We can set x = t, y = 0, z = 0, with t varying from 0 to 1, to parametrize this segment. Then dx = dt, dy = 0, dz = 0. We have:∫(0,0,0)to(1,0,0)
vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(t²+0)dt + 0 + 0= [t³/3]0to1= 1/3
Now, let's evaluate the second segment, from (1,0,0) to (1,1,0). We can set x = 1, y = t, z = 0, with t varying from 0 to 1, to parametrize this segment. Then dx = 0, dy = dt, dz = 0. We have:
∫(1,0,0)to(1,1,0)vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(1²+0)dx + t²dy + 0dz= 1∫0to1(t²)dt= [t³/3]0to1= 1/3
Finally, let's evaluate the third segment, from (1,1,0) to (1,1,1). We can set x = 1, y = 1, z = t, with t varying from 0 to 1, to parametrize this segment. Then dx = 0, dy = 0, dz = dt. We have:
∫(1,1,0)to(1,1,1)vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(1²+2(1)(t))dx + 1²dy + 0dz= ∫0to1(1+2t)dt + 1(0to1)+ 0= [t²+t]0to1+ 1= 3/2
Therefore, the line integral is the sum of the integrals along the three segments:
∫CF.v dl= 1/3+ 1/3+ 3/2= 2
Thus, the value of the line integral of the given function v = x²+2yzi + y²j from (0,0,0) the point (1,1,1) by the route (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1) is equal to 2.
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pls help meh.. Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x − 9)? The graph of y = f(x) will shift up 9 units. The graph of y = f(x) will shift down 9 units. The graph of y = f(x) will shift left 9 units. The graph of y = f(x) will shift right 9 units.
Answers
Answer:
B
Step-by-step explanation:
Answer:The answer is B
Step-by-step explanation:
Multiply (3s^2-2s-4)(2s-3)
Answers
6s^3+2s^2-2s+12
Explanation:
(3s^2-2s-4)(2s-3)
6s^3-4s^2-8s+6s^2+6s+12
6s^3+2s^2-2s+12
I don't know this help pls :)
Answers
Answer:
b. 8.6
Step-by-step explanation:
lmk if it was right
Write an equation in Point-Slope form for a line that passes through the points (-10,8) & (-20,-12)
surprise i need help again
Answers
the first one is the answer using the first ordered pair. the second is the answer using the second ordered pair.
Single-case designs, by definition, do not incorporate control groups. What is the standard for comparison purposes to evaluate the treatment effects
Answers
In single-case designs, the standard for comparison purposes to evaluate the treatment effects is typically the individual's own performance during different phases of the study. Here's a step-by-step explanation:
1. Baseline Phase: The study begins by collecting data on the individual's behavior or performance without any intervention. This phase is called the baseline and serves as a reference point for comparison.
2. Intervention Phase: After establishing the baseline, the researcher introduces the treatment or intervention. The individual's performance during this phase is then compared to their performance during the baseline phase.
3. Reversal or Withdrawal Phase (optional): In some single-case designs, the intervention is withdrawn to see if the individual's performance returns to baseline levels. This phase helps to further establish the treatment's effectiveness.
4. Replication (optional): The study can be replicated with the same individual or with other individuals to demonstrate the treatment's effectiveness across different cases.
By comparing the individual's performance across these different phases, researchers can evaluate the treatment effects without the need for a control group.
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five friends split a restaurant bill evenly. The total cost of the meal is $89.75 and they want to leave a 20% tip. what amount should each friend pay
Answers
The amount each friend should pay is $21.54
How to determine what amount should each friend payFrom the question, we have the following parameters that can be used in our computation:
Cost = 89.75
Tip = 20%
The amount to be paid by each friend is calculated as
Unit cost = Cost * (1 + Tip)/5
Substitute the known values in the above equation, so, we have the following representation
Unit cost = 89.75 * (1 + 20%)/5
Evaluate
Unit cost = 21.54
Hence, the amount is 21.54
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Student Council is selling T-shirts to raise money for new volleyball equipment. There is a fixed cost of
$200 for producing the T-shirts, plus a variable cost of $5 per T-shirt made. Council has decided to sell
the T-shirts for $8 each.
A. Write an equation to represent the total cost, C, as a function of the number, n, of T-shirts
produced.
B. Write an equation to represent the revenue, R, as a function of the number, n, of T-shirts
produced
C. Profit, P, is the difference between revenue (R(n)) and expenses (C(n)). Develop an algebraic
function to model the profit.
D. How many T-shirts does the Student Council have to sell to "break even," make a $0 profit?
Answers
Answer:
It is A
Write an equation to represent the total cost, C, as a function of the number, n, of T-shirts
produced.
Step-by-step explanation:
:)
25. The value of y is directly proportional to x. Y =
54, when x = 9. What is the value of y when x
= 3.5?
Answers
Answer:
y = 21
Step-by-step explanation:
You need to find k
y = x
54 = 9k Divide both sides by 9
6 =k
y = 6(3.5)
y = 21
This is the graph of f(x). What is the value of (2)?
101Y
х
-5
5
5
O A. 16
B. 2.
O C. 8
O D. 4
Answers
Answer:
Step-by-step explanation:
f(2) = 4
simplify -7(3z+5t-3g)
Answers
Answer:
-21z-35t+21g
Step-by-step explanation:
-7x3z=-21z
-7x5t=-35t
-7x-3g=21g
sketch the region enclosed by the given curves. y = 3/x, y = 12x, y = 1 12 x, x > 0
Answers
To sketch the region enclosed by the given curves, we need to first plot each of the curves and then identify the boundaries of the region.The first curve, y = 3/x, is a hyperbola with branches in the first and third quadrants. It passes through the point (1,3) and approaches the x- and y-axes as x and y approach infinity.
The second curve, y = 12x, is a straight line that passes through the origin and has a positive slope.The third curve, y = 1/12 x, is also a straight line that passes through the origin but has a smaller slope than the second curve.To find the boundaries of the region, we need to find the points of intersection of the curves. The first two curves intersect at (1,12), while the first and third curves intersect at (12,1). Therefore, the region is bounded by the x-axis, the two straight lines y = 12x and y = 1/12 x, and the curve y = 3/x between x = 1 and x = 12.To sketch the region, we can shade the area enclosed by these boundaries. The region is a trapezoidal shape with the vertices at (0,0), (1,12), (12,1), and (0,0). The curve y = 3/x forms the top boundary of the region, while the straight lines y = 12x and y = 1/12 x form the slanted sides of the trapezoid.In summary, the region enclosed by the given curves is a trapezoid bounded by the x-axis, the two straight lines y = 12x and y = 1/12 x, and the curve y = 3/x between x = 1 and x = 12.
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Suppose that f(x) = x + 4 and g(x) = -x + 3. Find (f )(g)(4).
Answers
Answer:
-12
Step-by-step explanation:
I am assuming that you want (f*g)(4), which is the product of f and g at x = 4.
If this is actually the case, then one way to evaluate (f*g)(4) is to find f(4) and g(4) separately and then multiply the results together. This gives us
f(4)*g(4) = (8 + 4)*(-4 + 3) = -12
find the linearization of the function f(x)=13x 2 at x=−1.
Answers
The linearization of the function f(x) = 13/x + 2 at x = −1 is -13x - 26.
The function is f(x) = 13/(x + 2).
We have to determine the linearization of the function at x = -1.
L(x) = f(-1) + f'(-1)(x - (-1))
L(x) = f(-1) + f'(-1)(x + 1) ...(1)
Now we first determine the value of f(-1) and f'(-1).
To determine f(-1) we substitute the x = -1 in the function f(x).
f(-1) = 13/(-1 + 2)
f(-1) = 13/1
f(-1) = 13
To determine the value of f'(-1), we first differentiate the function f(x).
f'(x) = d/dx[13/(x + 2)]
After differentiating
f'(x) = -13/(x + 2)²
Now substitute x = -1
f(-1) = -13/(-1 + 2)²
f(-1) = -13/(1)²
f(-1) = -13
Now substitute the value of f(-1) and f'(-1) in equation 1
L(x) = -13 + (-13)(x + 1)
Simplify
L(x) = -13 - 13x - 13
L(x) = -13x - 26
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The complete question is:
Find the linearization of the function f(x) = 13/x + 2 at x = −1.
When U.S. farmers in the Southwest irrigate their land, salt in the ground soil leaks into the Colorado River. The Colorado River has become so salty that Mexican farmers further down the river cannot irrigate their own land and Mexican crops have been devastated. This situation constitutes a negative externality because:
Answers
This situation constitutes a negative externality because the actions of U.S. farmers in the Southwest are causing harm to Mexican farmers downstream, resulting in negative consequences for their crops and livelihoods.
A negative externality occurs when the production or consumption of a good or service imposes costs on third parties who are not directly involved in the transaction. In this case, the irrigation practices of U.S. farmers are leading to salt leakage into the Colorado River, which negatively impacts Mexican farmers who rely on the river for irrigation.
The increased salinity of the river water prevents Mexican farmers from effectively irrigating their own land, resulting in devastation to their crops and economic losses. The costs of this pollution and reduced agricultural productivity are borne by the Mexican farmers, even though they are not directly responsible for the actions causing the negative externality.
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Last question please help asp (the question is in the picture)
Answers
Answer:
subtraction property of equality
Only 1 and 2 pls helppp
Answers
Answer:
See the attached image for work.
1) The slope is 4.
2) The slope is 2.
Answer:
on the first one the rise is 20 and the run is 5. 5 divided by 20 is 4 so the slope is 4. I haven't answered the second one yet, sorry.
Read the numbers and decide what the next number should be. 1 1.25 7 7.50 2 2.25 8
Answers
Using the slope formula, find the slope of the line through the points (0,0) and (5,15) . Use pencil and paper. Explain how you can use mental math to find the slope of the line.
Answers
Answer:
Slope = 3
Step-by-step explanation:
The formula for calculating the slope is expressed as:
m = y2-y1/x2-x1
From the coordinate, x1 = 0 y1 =0 x2 = 5, y2 =15
m = 15-0/5-0
m = 15/5
m = 3
Hence the slope is 3
There are 10 different actors auditioning for the roles of Larry, Curly and Moe. How many ways could the roles be cast?
Answers
Therefore, there are 720 ways to cast the roles of Larry, Curly, and Moe with 10 different actors.
What is an answer in combination?Combinations are mathematical operations that count the number of potential configurations for a set of items where the order of the selection is irrelevant. You can choose the components of combinations in any sequence. Combinations and permutations can coexist.
We can use the multiplication principle of counting to determine how many different ways the parts can be cast, presuming that each actor can only play one role.
There are ten performers we can choose from to play Larry. We still have nine options for Curly because one actor has already been chosen as Larry.
Since Larry and Curly have already been cast with two actors, that leaves us with eight options for the part of Moe.
So, using the multiplication principle, the number of ways to cast the roles is:
10 x 9 x 8 = 720
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Suppose you have a job that pays $13.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable I, that gives the amount of money, y, you will earn for working 2 hours in one week. y = _____ , Preview with ____ <= x <= ____ b. Use the function rule you have written in part a. to find the y values for the given z values: x = 10, y = ___ x = 20, y= ___
x = 30, y = ____. x = 40, y = ____ c. Construct a line graph from the information found in b. 520+ -480+ 440+ 400- 360 320- 280- 240 200 160+ 120+ 80- 40+ 10 20 30 40 Clear All Draw: Line Dot Open Dot d. State the domain and range of this function. Domain: ____ <= x <= ______
Range: <= y <= _____
e. What is the minimum amount you can earn in a week with this job? You'll earn at least $ ______.
What is the maximum amount? You can earn up to $ ____.
Answers
The maximum amount you can earn is $540
a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.
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Penelope has been practicing driving a golf ball. The lengths of her first 3 drives are shown below: • Drive 1: 180 yards • Drive 2: 170 yards • Drive 3: 195 yards • Drive 4: ? How far does she need to drive the ball so that her average drive is 182 yards? yards
Answers
Answer:
The answer is "183 yards"
Step-by-step explanation:
\(Drive \ 1= 180 \ yards \\\\Drive \ 2= 170 \ yards\\\\ Drive\ 3= 195 \ yards \\\\Drive \ 4= x \ \ yards \\\\\)
Using formula:
\(\to \text{average of number}=\frac{sum \ of \ number}{total\ number}\\\\\to 182 =\frac{180+170+195+x}{4}\\\\\to 4 \times 182 =545+x\\\\\to x= 728-545\\\\\to x=183\)
what is an equation the line written in point slope form that oasses through the point (4.-3) and has the same slope as the line y=1/2x-4
Answers
Answer:
\(y+3=\frac{1}{2}(x-4)\)
Step-by-step explanation:
The equation of the line with slope \(m\) passing through \((x_1, y_1)\) is \(y-y_1=m(x-x_1)\).
Sandy evaluated the expression below.
(-2) (6-3)-5(2+3)
(-2) (3) -5(5)
8(3) - 25
24-25
-1
What was Sandy's error?
Sandy should have evaluated (-2) as-8.
O Sandy should have not multiplied 5 and 5.
O Sandy did not add 2 and 3 correctly.
O Sandy should have not subtracted 3 from 6 first
Answers
Answer:
answer A
Step-by-step explanation:
i got it right on the test
How many more votes did bill clinton get than george bush? about 44 million about 6 million about 25 million
Answers
Answer:
Step-by-step explanation:
B - 6 million
b. 6 Million
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Polygons in the coordinate
Answers
In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.
How to know if it's a triangleFind the lengths of the three sides of the triangle using the distance formula.
Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.
If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.
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calculator The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between and minutes. Find the probability that a randomly selected passenger has a waiting time minutes.
Answers
To find the probability that a randomly selected passenger has a waiting time between a and b minutes, where a < b, we need to calculate the proportion of the total possible waiting time interval that falls within the range [a, b].
Given that the waiting times are uniformly distributed between c and d minutes, we can determine the probability as follows:
P(a ≤ waiting time ≤ b) = (b - a) / (d - c)
In this case, the waiting times are uniformly distributed between 0 and m minutes, where m represents the maximum waiting time. Therefore, we have:
P(a ≤ waiting time ≤ b) = (b - a) / (m - 0) = (b - a) / m
Note that for this calculation, it's crucial to ensure that the waiting time interval [a, b] falls within the overall waiting time interval [0, m]. If the lower bound a is greater than the upper bound b or if either bound is outside the overall waiting time interval, the probability will be 0.
Please provide the specific values for a, b, and m, and I'll be happy to help you calculate the probability.
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The sum of the first ten terms 1, 3/2, 7/4, 15/8, ...
Answers
The given series terms can be described as follows:
\(\begin{gathered} A_1=1 \\ A_2=\frac{3}{2} \\ A_3=\frac{7}{4} \\ A_4=\frac{15}{8} \\ \ldots \\ A_n=\frac{2^n-1}{2^{n-1}} \end{gathered}\)From this, we are able to calculate and sum the rest of the terms until A10, as follows:
\(\begin{gathered} A_5=\frac{31}{16} \\ A_6=\frac{63}{32} \\ A_7=\frac{127}{64} \\ A_8=\frac{255}{128} \\ A_9=\frac{511}{256} \\ A_{10}=\frac{1023}{512} \\ \\ S=\sum ^{10}_{n\mathop=1}A_n=\frac{9217}{512} \end{gathered}\)From the solution de developed above, we are able to conclude that the answer to the present question is:
\(S=\frac{9217}{512}\)How do you estimate a scatter plot?
Answers
Answer:
Step-by-step explanation:
1.Collect pairs of data where a relationship is suspected.
2.Draw a graph with the independent variable on the horizontal axis and the dependent variable on the vertical axis. ...
3.Look at the pattern of points to see if a relationship is obvious. ...
4.Divide points on the graph into four quadrants.
round these numbers to the numbers to the nearerst 1000
1781
Answers
This is because the value in the hundreds place is greater than 4
Answer:
1780
Step-by-step explanation:
first number is the tens next is the hundreds then the thousands the number after eight is only one so you round down