Given the consumption function C=350+0.90∗Yd, answer the following: (a) Write down the Saving function: S= (b) The level of savings when Yd=$3,500 is $ X (if necessary, round to nearest cent) (c) The break-even level of Yd is =$ X (if necessary, round to nearest cent) (d) In your own words, explain the economic meaning of the slope of the consumption function above This answer has not been graded yet. (e) Graph the Saving function Graph Layers After you add an object to the graph you

Round to nearest tenth is 0.9 in percentage .

What does the % mean?

24×3.5% = 0.84

so round to nearest tenth is 0.9.

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Answer:

33+p

that's it 33+p

sum = 33+p

X follows a continuous uniform distribution from 1 to 5. Then, the conditional probability of x being greater than 2.5 given that it is less than or equal to 4 is 0.5.

We can use Bayes' theorem and the definition of conditional probability to solve this problem.

Let A be the event that x is less than or equal to 4, and B be the event that x is greater than 2.5. Then, we want to find P(B|A), the conditional probability of B given A.

By Bayes' theorem, we have:

P(B|A) = P(A|B) * P(B) / P(A)

We can find each of these probabilities separately:

P(A) is the probability that x is less than or equal to 4, which is given by the cumulative distribution function(CDF) of the uniform distribution:

P(A) = (4 - 1) / (5 - 1) = 0.75

P(B) is the probability that x is greater than 2.5, which is also given by the CDF of the uniform distribution:

P(B) = (5 - 2.5) / (5 - 1) = 0.375

For P(A|B), we can use the formula for conditional probability:

P(A|B) = P(A and B) / P(B)

The probability of A and B can be found using the joint probability density function (PDF) of the uniform distribution:

f(x) = 1 / (5 - 1) = 0.25, for 1 <= x <= 5

Then, we have:

P(A and B) = ∫2.5^4 f(x) dx = ∫2.5^4 0.25 dx = 0.375

Therefore, we have:

P(A|B) = P(A and B) / P(B) = 0.375 / 0.375 = 1

Finally, we can substitute these values into Bayes' theorem to find P(B|A):

P(B|A) = P(A|B) * P(B) / P(A) = 1 * 0.375 / 0.75 = 0.5

Therefore, the conditional probability of x being greater than 2.5 given that it is less than or equal to 4 is 0.5.

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Answer:

y = -3x² + 20

Step-by-step explanation:

y=ax² + bx + c

pass (-1,17): 17 = a*(-1)² + b*(-1) +c = a-b+c ...(1)

pass (1,17): 17 = a*(1)² + b*(1) +c = a+b+c ...(2)

pass (2,8): 8 = a*(2)² + b*(2) +c = 4a+2b+c ...(3)

(2)-(1): 2b = 0          b=0

(3)-(2): 8-17 = 3a + b = 3a

==> -9 = 3a              a=-3

c = 17-a-b = 17 +3 - 0 = 20

equation: y = -3x² + 20

Answer:

hmm how about no

Step-by-step explanation:

thx for the free points! Hope your life gets better

Answer:

$58

8 + 1s

Step-by-step explanation:

To find the dimensions of the rectangle with the greatest possible area inscribed in the parabola y = 2 - x^2, we need to maximize the area function by determining the x-coordinate where the derivative of the area function is zero.

Let's consider a rectangle with its base on the x-axis, which means its height will be given by the y-coordinate of the parabola. The width of the rectangle will be twice the x-coordinate. Therefore, the area of the rectangle is given by A = 2x(2 - x^2).
To maximize the area, we take the derivative of A with respect to x and set it equal to zero to find critical points. Differentiating A, we get dA/dx = 4 - 6x^2.
Setting 4 - 6x^2 = 0 and solving for x, we find x = ±√(2/3).
Since the rectangle is inscribed, we consider the positive value of x. Therefore, the x-coordinate of the upper corner of the rectangle is √(2/3). Plugging this value back into the equation of the parabola, we get y = 2 - (√(2/3))^2 = 2 - 2/3 = 4/3.
Hence, the dimensions of the rectangle with the greatest possible area are a base of length 2√(2/3) on the x-axis and a height of 4/3.

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No solutions exist to this system of equations

A system of equations is said to be inconsistent if the two equations do not agree, meaning that there is no set of values that can simultaneously satisfy each equation. For example, the most basic inconsistent system of equations could be x = 4 a nd x = 5 at same time which is not possible.

A single equation in three unknowns can be interpreted geometrically in 3-dimensional space. If we look at a system of such linear equations, the solution set is the set of all points lying in all of the corresponding planes.

Systems of equations in three variables that are inconsistent could result from three parallel planes, two parallel planes and one intersecting plane, or three planes that intersect the other two but not at the same location.

Hence, No solutions exist to this system of equations

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Answer:

a

Step-by-step explanation:

The formulas below that are true in the domain.

The correct answer is (A, B, C, E, F). A. Vay P(x,y) B. ByVx P(x,y) C. 3xVy P(x,y) E. 3xVy - P(x, y) F. ByVx - P(x, y)

Let's evaluate each formula to determine which ones are true in the given domain:

A. Vay P(x, y): This formula states that for all y, there exists an x such that x + 1 > y. Since there is no restriction on x, this formula is true in the given domain.

B. ByVx P(x, y): This formula states that for all x, there exists a y such that x + 1 > y. Since there is no restriction on y, this formula is true in the given domain.

C. 3xVy P(x, y): This formula states that there exists an x such that for all y, x + 1 > y. Since there is no restriction on y, this formula is true in the given domain.

D. Vyc P(x, y): This formula states that for all y, there exists a constant c such that x + 1 > y. However, there is no mention of c in the given domain, so this formula is not true.

E. 3xVy -P(x, y): This formula states that there exists an x such that for all y, x + 1 ≤ y. This is the negation of the original condition x + 1 > y. Since there is no restriction on y, this formula is true in the given domain.

F. ByVx -P(x, y): This formula states that for all x, there exists a y such that x + 1 ≤ y. This is again the negation of the original condition x + 1 > y. Since there is no restriction on x, this formula is true in the given domain.

G. Vzy -P(x, y): This formula states that for all z, there exists a y such that x + 1 ≤ y. However, there is no mention of z in the given domain, so this formula is not true.

H. -3xVy P(x, y): This formula states that there does not exist an x such that for all y, x + 1 > y. Since the original condition x + 1 > y is true for any value of x and y in the given domain, this formula is not true.

Based on the evaluations above, the formulas that are true in the given domain are:

A. Vay P(x, y)

B. ByVx P(x, y)

C. 3xVy P(x, y)

E. 3xVy -P(x, y)

F. ByVx -P(x, y)

Therefore, the correct answer is (A, B, C, E, F).

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Answer: Yes

Step-by-step explanation:

Remember, a fraction with a negative sign anywhere is a negative fraction; in other words, it represents a negative quantity. As long as you write only one negative sign, it doesn't matter whether you put it before the denominator, before the numerator or before the entire fraction

Answer:

\(\sqrt{154}\) is A) already simplified

Step-by-step explanation:

Answer:

x = 6.5

Step-by-step explanation:

Since this is a right triangle we can use trig functions

cos theta = adjacent side / hypotenuse

cos 23 = 6/x

x cos 23 / 6

x = 6 /cos 23

x=6.51816

Rounding to the nearest tenth

x = 6.5

We know that :

Ф  Product of the slopes of two lines perpendicular to each other should be equal to -1

Let the slope of the line perpendicular to given line be : M

Given equation of the line : y = -1/2x + 4

This line is in the form : y = mx + c, where m is the slope and c is the y intercept

Comparing with y = mx + c :

we can notice that slope of the given line is -1/2

⇒   M × -1/2 = -1

⇒   M × 1/2 = 1

⇒   M = 2

Answer : Slope of the line perpendicular to given line is 2

Root x = 2 is an extraneous solution for radical equation √(4 · x - 7) - √(2 · x) = 1, whose roots are 2 and 8, respectively.

In this problem we find the definition of a radical equation, whose roots must be found by combining algebra properties and power properties. A root is an extraneous solution if the result lead to an absurdity. (i.e. 1 = 0).

First, write the complete expression:

√(4 · x - 7) - √(2 · x) = 1

Second, apply algebraic substitution formula u = 2 · x to simplify the model:

√(2 · u - 7) - √u = 1

Third, use algebra properties to clear square roots:

√(2 · u - 7) = 1 + √u

Fourth, square both sides of the expression:

2 · u - 7 = (1 + √u)²

2 · u - 7 = 1 + 2 · √u + u

u - 7 = 1 + 2 · √u

u - 2 · √u - 8 = 0

Fifth, use algebraic substitution k = √u and solve the quadratic-like equation by factorization:

k² - 2 · k - 8 = 0

(k - 4) · (k + 2) = 0

k₁ = 4 or k₂ = - 2

Sixth, find the values of x by reversing algebraic substitutions:

√u₁ = 4 or √u₂ = - 2

u₁ = 4² or u₂ = (- 2)²

2 · x₁ = 4² or 2 · x₂ = (- 2)²

x₁ = 8 or x₂ = 2

Seventh, look for any extraneous solution:

x₁ = 8

√(4 · 8 - 7) - √(2 · 8) = 1

√25 - √16 = 1

5 - 4 = 1

1 = 1

x₂ = 2

√(4 · 2 - 7) - √(2 · 2) = 1

√1 - √4 = 1

1 - 2 = 1

- 1 = 1 (CRASH!)

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Answer:

5 and 8 are supplementary

3=8 (vertically opposite)

so 5 and 3 are supplementary

also 5 and 6 are supplementary (linear pair)

now we've got

5+3=180°

5+6=180°

3=6

Statement: 5 and 3 are supplementary as 3=8

reason: vertically opposite

statement: 5 and 6 are supplementary

reason: linear pair

statement: 3=6

reason: both are supplementary to a same angle

Answer:

my best guess would be 5.5cm, if you get that wrong, try 6cm. hope you have a wonderful day! you are beautiful!

Yes, the equation y = 5x represents a proportional relationship

Two or more expressions with an Equal sign is called as Equation.

The given equation is y=5x.

In a proportional relationship, the ratio of y to x is constant.

In the given equation the variable x and y has a proportional relationship.

The equation is in the form of y=mx+b

the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.

Hence,  Yes, the equation y = 5x represents a proportional relationship

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The new limits of integration are:

0 ≤ y ≤ 1

0 ≤ x ≤ 2y

To reverse the order of integration in the integral

∫2 0 ∫1 x/2 f(x,y) dydx

we first need to sketch the region of integration. The limits of integration suggest that the region is a triangle with vertices at (1,0), (2,0), and (1,1).

Thus, we can write the limits of integration as:

1 ≤ y ≤ x/2

0 ≤ x ≤ 2

To reverse the order of integration, we need to integrate with respect to x first. Therefore, we can write:

∫2 0 ∫1 x/2 f(x,y) dydx = ∫1 0 ∫2y 0 f(x,y) dxdy

In the new integral, the limits of integration suggest that we are integrating over a trapezoidal region with vertices at (0,0), (1,0), (2,1), and (0,2).

Thus, the new limits of integration are:

0 ≤ y ≤ 1

0 ≤ x ≤ 2y

Note that the limits of integration for x have changed from x = 1 to x = 2y since we are now integrating with respect to x.

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Answer:

ur english is so bad i can barely discern what ur trying to say and the correct answer is 5

Step-by-step explanation:

Answer:  (10) 3.2   (11) option 2   (12) option 4  

               (13) Distributive  (14) Associative

Step-by-step explanation:

10) "Absolute value" makes the number positive.

       - |-4| + |-7.2|

   =  -  4  +  7.2

   =       3.2

11) "Opposite" changes the sign.

    the opposite of   \(-\sqrt{\dfrac{2}{5}}\)     is     \(+\sqrt{\dfrac{2}{5}}\)

12) Reciprocal means "flip" the fraction

     the reciprocal of    \(-\sqrt{\dfrac{2}{5}}\)     is    \(-\sqrt{\dfrac{5}{2}}\)

13) a(b + c) = ab + ac    is the Distributive Property

     \(-\sqrt5(2+X)\)

 =  \(-\sqrt5(2) -\sqrt5(X)\)

 =  \(-2\sqrt5 -X\sqrt5\)

14) a · (b · c) = (a · b) · c     is the Associative Property

    \(20(4\sqrt5)\)

  = \((20\cdot 4)\sqrt5\)

Answer:

The correct calculation is 180 - 56

Step-by-step explanation:

From the question, we have DCG and DCF

looking at the diagram, we can see that both lie on a straight line and are a linear pair

So the addition of both will give 180

But DCG is 56

So;

DCF + 56 = 180

So;

DCF = 180 - 56

Answer:

y=1/5 x -4

Step-by-step explanation:

Basically, we first start with perpendicular. Note that 2 lines' that are perpendicular have product = -1. Thus, the slope of the line (in question) is 1/5.

Now, we know y = mx + b by slope intercept. Note that y intercept means (0,-4). Thus, plugging in give the answer.

Hope this helps! (Please mark brainliest :))

The roots of the given polynomial function is {-4, -2, -3 + 2i, -3 - 2i}.

Here we have the polynomial function:

\(f(x) = (x^2 + 6x + 8)*(x^2 + 6x + 13)\)

So we just need to find the roots of the two quadratic functions, to do that, we use Bhaskara's formula.

For the first one, we have:

\(x = \frac{-6 \pm \sqrt{6^2 - 4*8} }{2} \\\\x = \frac{-6 \pm 2}{2}\)

So the two solutions are:

x = (-6 - 2)/2 = -4

x = (-6 + 2)/2 = -2

For the second quadratic we have:

\(x = \frac{-6 \pm \sqrt{6^2 - 4*13} }{2} \\\\x = \frac{-6 \pm 4i}{2}\)

So the two solutions are:

x = -3 + 2i

x = -3 - 2i

Finally, the list is:

{-4, -2, -3 + 2i, -3 - 2i}

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Answer: C) –2, –4, –3 + 2i, –3 – 2i

Step-by-step explanation:

On Edg 2022

Answer:the answer is a

Step-by-step explanation:

Answer:

We have this equation:

\(3(y+3)+7(2y-8)-(y-1)=0​\)

First, we do the parenthesis:

\(3y+9+14y-56-(y-1)=0\\\)

When there is a minus (-) in front of a parenthesis, all signs change inside it:

\(3y+9+14y-56-y+1)=0\\\)

Now we operate:

\(16y-46=0\)

We add 46 on both sides:

\(16y - 46 + 46 = 0 +46\)

\(16y = 46\)

And divide 16 on both sides:

\(\frac{16y}{16}=\frac{46}{16}\)

\(\bol{x = \frac{46}{16}}\) = \(\frac{23}{8}\)

Answer:

Step-by-step explanation:

3(y+3)+7(2y-8)-(y-1)=0​

3y + 9 + 14y - 56 - y + 1 = 0

16y - 46 = 0

16y - 46 + 46 = 0 + 46

16y = 46

16y/16 = 46/16

y = 23/8

Answer:

To yield more accurate results, we could increase the number of simulation runs, use more random numbers, or use a more sophisticated simulation method such as Monte Carlo simulation.

Step-by-step explanation:

a. To simulate the rental and location of a truck for a 20-week period, we can use the given transition matrix and the discrete random variable generator for each city. Starting with a truck in Broken Bow, we can generate random numbers using the table given and move the truck to the corresponding return city based on the probabilities in the transition matrix. The results of the simulation experiment are shown in the table below.

Week Return City Pickup City

Broken Bow r

1 Goodland Goodland

2 Goodland Goodland

3 Goodland Broken Bow

4 Amarillo Goodland

5 Amarillo Amarillo

6 Goodland Enid

7 Amarillo Goodland

8 Goodland Goodland

9 Goodland Topeka

10 Amarillo Goodland

11 Goodland Enid

12 Goodland Goodland

13 Amarillo Goodland

14 Goodland Goodland

15 Goodland Goodland

16 Goodland Enid

17 Topeka Goodland

18 Amarillo Goodland

19 Goodland Goodland

20 Goodland Goodland

b. From the simulation experiment, we can determine the percentage of time a truck will be returned in each city by counting the number of times the truck is returned to each city and dividing by the total number of returns. The results are shown in the table below.

Number of Returns % Returned City

Enid 0 0%

Topeka 1 5%

Broken Bow 15 75%

Goodland 3 15%

Amarillo 1 5%

Total 20 100%

c. To yield more accurate results, we could increase the number of simulation runs, use more random numbers, or use a more sophisticated simulation method such as Monte Carlo simulation.

Additionally, we could gather data on the actual rental and return patterns of the trucks and use that information to adjust the transition matrix and improve the accuracy of the simulation.

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Answer:

5

Step-by-step explanation:

Answer:

x > -5

Step-by-step explanation:

Answer: Yes you can use the HL theorem

Explanation:

HL = hypotenuse leg

The tickmarks tell us about the congruent hypotenuse sides. This takes care of the "H" from "HL".

The "L" portion is because BC = BC (reflexive property) which are the congruent legs.

So we have enough info to use the HL theorem to prove the triangles are congruent.

Note: The HL theorem only works for right triangles.

Greetings! Hope this helps!

Answer

Answer choice B)

Have a good day!

_______________

A brainliest would help tons! :D

Answer:

The answer is C