Since none of these options include the value of c" = 2/5, none of them satisfy the first-order necessary conditions for a solution. Therefore, none of the given options are correct.
To find the values of a, b, and c that satisfy the first-order necessary conditions for a solution to minimize the function f(x), we need to find the critical points of the function by taking its derivative and setting it equal to zero.
Given:
f(x) = 5x + Qx + c"x + 13
Q = -9, c = 10
Taking the derivative of f(x) with respect to x:
f'(x) = 5 + Q + c"
Setting f'(x) equal to zero:
5 + Q + c" = 0
5 - 9 + 10c" = 0
-4 + 10c" = 0
10c" = 4
c" = 4/10
c" = 2/5
So, we have found that c" = 2/5.
Now, let's consider the options for a, b, and c provided:
a. (5,6)
b. (10,-9)
c. (-9,10)
d. (6,5)
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Test the series for convergence or divergence. 9 /10-9/ 12+9/ 14-9/ 16+9/ 18 -. . . . . . . The series 9 /10-9/ 12+9/ 14-9/ 16+9/ 18 -. .. can be rewritten as ...........
The given series is divergent.
The given series is: 9 /10-9/ 12+9/ 14-9/ 16+9/ 18 -. . . . . . .
The series can be rewritten as {9/(10 - 9)} + {9/(12 + 9)} + {9/(14 - 9)} + {9/(16 + 9)} + {9/(18 - 9)} + ...= 9 + 3/7 + 9/5 + 9/25 + 9/9 + …
So, the given series is divergent.
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Which of the following is the graph of the piecewise function h of x is defined as negative x squared plus 2 for x is less than or equal to negative 2, or one half times x for negative 2 is less than x is less than 2, or x squared minus 2 for x greater than or equal to 2.?
The attached graph represents the piecewise function h(x)
Complete questionWhich of the following is the graph of the piecewise function
\(h(x) = \left[\begin{array}{cc}-x^2 + 2 &x \le -2\\ \frac 12x&-2 < x < 2\\x^2 - 2&x \ge 2\end{array}\right\)
How to determine the graph of the function?The function is given as:
\(h(x) = \left[\begin{array}{cc}-x^2 + 2 &x \le -2\\ \frac 12x&-2 < x < 2\\x^2 - 2&x \ge 2\end{array}\right\)
The above means that the piecewise function has 3 domains
2 of which are quadratic functionsThe last one is a linear functionNext, we plot the graph using a graphing tool
See attachment for the graph of the piecewise function h(x)
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Cuanto es 15 Multiplicado por 15
Convert the capacity of 5 liters
Based on the above, the capacity of a 5-liter tin is about 500 cm³.
What is the capacity?To be able to convert the capacity of a 5-liter tin to its volume in cm³, One need to use the conversion factor that is, 1 liter is equivalent to 100 cm³.
So, to be able to calculate the volume of a 5-liter tin in cm³, one have to multiply the capacity (5 liters) by the conversion factor (100 cm³/liter):
Volume in cm³ = 5 liters x 1000 cm³/liter
= 500 cm³
Therefore, the capacity of a 5-liter tin is about 500 cm³.
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See full text below
Convert the capacity of a 5 litre tin to its volume in cm³.1litre is equivalent to 100cm³
94.
Scale: 1 in. = 4 ft
The grid above is made up of 1 inch squares. About how many square yards are in the shaded region?
Answer:
This is the reason....
Step-by-step explanation:
the girl which is standing in the zoo or in the zoo or in the world of this message has been in my teacher in the zoo and coordination exercise in the world of the day.........
Answer:
150
Step-by-step explanation:
Joe drove 315 Thousand five hours at the same rate how many miles do you drive in 7 hours?
Answer:
441 miles
Step-by-step explanation:
1st find rate from the given
D = RT
315 = 5R
63 = R miles/hour so,
then find distance for 7 hours
D = RT
D = 63 * 7
D = 441
Answer:
Item 3. 4 3/8
Item 4. 4/9
Item 5. 4/3
Item 6. 1/8
Item 7. 0.8
Item 8. 5.20 or 5.2 (You can choose which to put)
Item 9. 1 7/8
Item 10. A 2008=24500 2009=26000 2010=27500 2011=29000
Step-by-step explanation:
Someone pls help urgently needed.
Answer:
Step-by-step explanation:
Help!!! What is the area of this shape????????
Answer:
.
Step-by-step explanation:
Area of the triangle = 1/2 × the height × base length
Area = 1/2 × 5 × (8 + 8)
= 1/2 × 5 × 16
= 40 cm²
The table shows the results of an experiment in which three coins were tossed.
What is the experimental probability that at least two of the coins will be heads? The theoretical probability?
The experimental probability that at least two heads would be gotten is 11 / 25.
The theoretical probability that at least two heads would be gotten is 1/2.
What are the probabilities?Probability calculates the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Experimental probability is based on the result of an experiment that has been carried out multiples times.
Experimental probability = number of times at least two heads would be gotten / total number of tosses
( 5 + 6 + 6 + 5)/50 = 22/50 = 11 / 25
Theoretical probability = number of times at least two heads would be gotten / total number of possible outcomes
4 / 8 = 1/2
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Which equation can be used to find A, the area of the parallelogram shown?
Problem 1: Vince works at a restaurant and earns $15 per hour. On Friday,
he worked "t" hours at the restaurant, and his neighbor paid him $10 per
hour to babysit for "b" hours. Write an expression that represents the
amount Vince earned on Friday.
Answer:
wow he got to be rich
Step-by-step explanation:
Answer:
t(15)+b(10)=$ earned friday
Step-by-step explanation:
I need help with Trigonometry. Can someone explain to me how to do it? Here’s a worksheet I have:
inequality question? Ryan planning a party for his parents' anniversary. The caterer charges a delivery fee of $14 on an additional $5.25 per person. If he can spend no more than $350, how many people can he invite?
Answer:47
Step-by-step explanation:
Answer:
Your answer is 47, hope it helps.
Select the correct answer from each drop-down menu.
Sam’s teacher wrote two Boolean expressions on the whiteboard. Identify the names of the laws of these expressions.
Expression 1: X (Y + Z) = X.Y + X.Z
Expression 2: X(Y.Z) = (X.Y)Z = X.Y.Z
The first expression is known as the
law. The second expression is known as the
law.
The first expression X (Y + Z) = X.Y + X.Z is distributive property of multiplication and the second expression X(Y.Z) = (X.Y)Z = X.Y.Z is associative property of multiplication.
According to the question,
We have the following two expressions:
X (Y + Z) = X.Y + X.Z
X(Y.Z) = (X.Y)Z = X.Y.Z
Now, the distributive property of multiplication states that the number outside the bracket is multiplied into each number within the bracket and the sign remains the same.
For example, 2(5+7) is 2*5+2*7.
The associative property of multiplication states that the result of the multiplication of numbers is same even when the bracket is changed from one number to another.
Hence, the first expression X (Y + Z) = X.Y + X.Z is distributive property of multiplication and the second expression X(Y.Z) = (X.Y)Z = X.Y.Z is associative property of multiplication.
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According to the Boolean algebra, the first expression X (Y + Z) = X.Y + X.Z uses distributive property of multiplication and
The second expression X(Y.Z) = (X.Y)Z = X.Y.Z uses the associative property of multiplication.
Boolean Algebra:
Basically, Boolean algebra is a branch of mathematics that deals with operations on logical values with binary variables.
And there are three properties in Boolean algebra.
They are, Commutative, associative, and distributive properties.
Given,
Sam’s teacher wrote two Boolean expressions on the whiteboard. Identify the names of the laws of these expressions.
Expression 1: X (Y + Z) = X.Y + X.Z
Expression 2: X(Y.Z) = (X.Y)Z = X.Y.Z
Here we need to find the name of the property used by the teacher on those two expression.
While we looking into the question,
We have the give the two expressions:
They are
=> X (Y + Z) = X.Y + X.Z
=> X(Y.Z) = (X.Y)Z = X.Y.Z
When we take the first expression,
X (Y + Z) = X.Y + X.Z
That states that the distributive property of multiplication is used here and the process of the distribution property is the number outside the bracket is multiplied into each number within the bracket and the sign remains the same.
Similarly, when we take the second expression
X(Y.Z) = (X.Y)Z = X.Y.Z
That uses the associative property of multiplication which is the result of the multiplication of numbers is same even when the bracket is changed from one number to another.
Therefore, the first expression X (Y + Z) = X.Y + X.Z uses the distributive property of multiplication and the second expression X(Y.Z) = (X.Y)Z = X.Y.Z uses the associative property of multiplication.
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Simplify -7 1/9 - (-9 1/2)
Answer:
Here: 2 7/18
Step-by-step explanation:
Hope this helped and brainlest please!
19/8 or 2 3/8 you choose :)
X = 1 y = -8 Are the two linear equations parallel, perpendicular, or neither?
Answer: Perpendicular
Step-by-step explanation:
Diane deposits $7000 into an account that pays simple interest at a rate of 6% per year. How much interest will she be paid in the first 3 years?
Answer:
1,260
Step-by-step explanation:
6x3=18 7000÷18=1,260
Answer:
18% or 1260$
Step-by-step explanation:
first u find 6% of 7000 then you multiply it by 3 for those three years .
7th grade Girl!
*urgent, pls pls pls help!* :(
(in the screenshot above. pleaseeeee! i’m desperate ahhhh :( )
Can someone plz help me on this and explain if u want thank you
Answer:
It is 40
Step-by-step explanation:
10 x 8 divided by 2 is 40
Part 1 of 5 O Points: 0 of 1 Save The number of successes and the sample size for a simple random sample from a population are given below. x=4, n=200, Hy: p=0.01.H. p>0.01. a=0.05 a. Determine the sample proportion. b. Decide whether using the one-proportion 2-test is appropriate c. If appropriate, use the one-proportion z-lest to perform the specified hypothesis test. Click here to view a table of areas under the standard normal curve for negative values of Click here to view..fable of areas under the standard normal curve for positive values of CALDE a. The sample proportion is (Type an integer or a decimal. Do not round.)
a. The sample proportion is 0.02.
b. Using the one-proportion z-test is appropriate.
c. Yes, we can use the one-proportion z-test to perform the specified hypothesis test.
a. To determine the sample proportion, we divide the number of successes (x) by the sample size (n). In this case, x = 4 and n = 200. Therefore, the sample proportion is calculated as 4/200 = 0.02.
b. In order to decide whether to use the one-proportion z-test, we need to verify if the conditions for its application are met.
The one-proportion z-test is appropriate when the sampling distribution of the sample proportion can be approximated by a normal distribution, which occurs when both np and n(1-p) are greater than or equal to 10.
Here, np = 200 * 0.01 = 2 and n(1-p) = 200 * (1-0.01) = 198. Since both np and n(1-p) are greater than 10, we can conclude that the conditions for the one-proportion z-test are met.
c. Given that the conditions for the one-proportion z-test are satisfied, we can proceed with performing the hypothesis test.
In this case, the null hypothesis (H0) is that the population proportion (p) is equal to 0.01, and the alternative hypothesis (Ha) is that p is greater than 0.01.
We can use the one-proportion z-test to test this hypothesis by calculating the test statistic, which is given by (sample proportion - hypothesized proportion) / standard error.
The standard error is computed as the square root of (hypothesized proportion * (1 - hypothesized proportion) / sample size).
Once the test statistic is calculated, we can compare it to the critical value corresponding to the chosen significance level (a=0.05) to make a decision.
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Please someone help me
Answer:
Step-by-step explanation:
it is T and U
Answer:
17. T
18. VU or TU
A pair of coins is tossed. What is the probability of two tails?
A. 1/2
B. 1/4
C. 1
The correct answer is B. 1/4
What is probability?Probability refers to the chance of occurring of an event.Probability is always ≤ 1How to calculate probability ?Probability can be found by dividing the favourable cases by the total possible cases.
How to calculate probability of two tails?If a coin is tossed, there are two possible results. They are either a head or a tail.So, the probability of getting a tail from a coin after being tossed is 1/2
According to the question, two coins are tossed.The possible outcomes are,
Head in both the coinsTails in both the coinsHead in first coin and tail in second coinHead in second coin and tail in second coinThere are total 4 outcomes out of which only the case of both tails is favourable.
So, the probability is 1/4.
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evaluate
A)
3
B)
2
C)
5
D)
0
Answer:
b)2
Step-by-step explanation:
2x2x2x2=16
A street sign that is 8 feet tall casts a shadow that is 5 feet long. At the same time, a nearby tree casts a shadow that is 28 feet long. What is the height of the tree?
Answer:
44.8 feet
Step-by-step explanation:
What are the solutions of 3(x – 4)(2x - 3) = 0? Check all that apply.
O-4
O-3
-
win
O 3
2
1 2 3 4
03
4
WILL MARK BRAINLIEST
Answer:
The solution to the equation is:
\(x=4,\:x=\frac{3}{2}\)
Step-by-step explanation:
Given the equation
\(3\left(x-4\right)\left(2x-3\right)=0\)
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
\(x-4=0\quad \mathrm{or}\quad \:2x-3=0\)
now solving
\(x - 4 = 0\)
adding 4 to both sides
\(x - 4 + 4 = 0 + 4\)
simplifying
\(x = 4\)
and also solving
\(2x - 3 = 0\)
adding 3 to both sides
\(2x - 3 + 3 = 0 + 3\)
simplifying
\(2x = 3\)
divide both sides by 2
\(\frac{2x}{2}=\frac{3}{2}\)
simplifying
\(x=\frac{3}{2}\)
Therefore, the solution to the equation is:
\(x=4,\:x=\frac{3}{2}\)
Answer:
4 or 3/2
Step-by-step explanation:
I had this question on a quiz, I got it correct.
what are you doing for Christmas?
I'm probably doing nothing...
I might visit my grandparents tho because they recently moved near by
thanks for the points
Answer:
I might go see my cousins in a different state and most likely play with the snow out there!!
Step-by-step explanation:
i need help with this ?
Answer:
Step-by-step explanation:
You didn't post the question!!
Domain: [ - 6, 3 )
Range: [ - 4, - 9 ]
PLS HELP ASAP - Algebra 2
The function has vertical asymptotes at x = 1 and x = -1.
The function has a horizontal asymptote at y = 2.
What is asymtotes?An asymptote is a straight line that constantly approaches a given curve but does not meet at any infinite distance. In other words, Asymptote is a line that a curve approaches as it moves towards infinity.
What is intercepts?An intercept in mathematics is a location on the y-axis through which the line's slope passes. It is a place on the y-axis where a straight line or a curve crosses. This is reflected in the equation for a line, which is written as y = mx+c, where m denotes slope and c denotes the y-intercept
The function f(x) = 2x²/(x² - 1) has the following key characteristics:
Vertical asymptotes: The function has vertical asymptotes at x = 1 and x = -1, since these values make the denominator of the fraction equal to zero. The vertical asymptotes divide the domain of the function into three intervals: (-∞, -1), (-1, 1), and (1, ∞).
Horizontal asymptote: As x approaches infinity or negative infinity, the value of the function approaches 2, which is the ratio of the leading coefficients of the numerator and denominator. Therefore, the function has a horizontal asymptote at y = 2.
x-intercepts: The function has no x-intercepts, since the numerator of the fraction is never equal to zero.
y-intercept: To find the y-intercept, we can substitute x = 0 into the equation of the function. Doing so, we get f(0) = 0/(-1) = 0. Therefore, the y-intercept is at the point (0, 0).
Note that the graph is symmetrical with respect to the vertical axis, since the function is even. The graph approaches the vertical asymptotes at x = 1 and x = -1, and approaches the horizontal asymptote at y = 2 as x approaches infinity or negative infinity.
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Yep here we go again:
The yellow portion of this pie chart represents 35%
How many degrees are in the angle formed by the edges of the yellow region?
Hint: How many degrees are in the whole circle? What fraction of that circle is 35%
I will give brainliest to the best answer.
Answer:
100 - 35 = 65 %
Step-by-step explanation:
you need to do math by 100 % and 35% woth a minus and it will become 65
126°
360 x 0.35 = 126
I'm not too sure...
Develop the B&B tree for each of the following problems. For convenience, always select x₁ as the branching variable at node 0. Maximize z = 3x₁ + 2.8% subject to 2x + 5.x₂ = 18 4.x₁ + 2x₂ = 18 X₁, X₂0 and integer
To develop the Branch and Bound (B&B) tree for the given problem, follow these steps:
1. Start with the initial B&B tree, where the root node represents the original problem.
2. Choose \($x_1$\) as the branching variable at node 0. Add two child nodes: one for
\($x_1 \leq \lfloor x_1 \rfloor$ \\(floor of $x_1$) and one for $x_1 \geq \lceil x_1 \rceil$ (ceiling of $x_1$).\)
3. At each node, perform the following steps:
- Solve the relaxed linear programming (LP) problem for the node, ignoring the integer constraints.
- If the LP solution is infeasible or the objective value is lower than the current best solution, prune the node and its subtree.
- If the LP solution is integer, update the current best solution if the objective value is higher.
- If the LP solution is non-integer, choose the fractional variable with the largest absolute difference from its rounded value as the branching variable.
4. Repeat steps 2 and 3 for each unpruned node until all nodes have been processed.
5. The node with the highest objective value among the integer feasible solutions is the optimal solution.
6. Optionally, backtrace through the tree to retrieve the optimal solution variables.
Note: The specific LP problem and its constraints are missing from the given question, so adapt the steps accordingly.
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