what is the value of 3b2−b when b = 5?

Answer:

doin't no it sorry

Step-by-step explanation:

(i) The dual of the given LP problem can be found by following these steps:

1. For each constraint in the primal problem, create a dual variable. In this case, we have three constraints, so we'll have three dual variables: y1, y2, and y3.
2. The objective function of the dual problem will be the sum of the products of the primal variables and their corresponding dual variables. So, the dual objective function is:
  Maximize w = 3y1 + 2y2 + y3.
3. For each primal variable x, create a constraint in the dual problem with the coefficient of the corresponding dual variable equal to the coefficient of x in the primal objective function. So, the dual constraints are:
  y1 + 2y2 - y3 ≤ -2
  y1 + y2 + y3 ≤ -1
  y1, y2, y3 ≥ 0.

(ii) To find the optimal solution to the dual problem, we need to solve the optimal tableau of the dual problem. From the given information, we know that Row 0 of the optimal tableau is:
  w = 4x1 + e2 + (M-1)a2 + (M+2)a3 = 0.
 
  However, the given information does not provide any details about the values of x1, e2, a2, or a3. Therefore, without this information, we cannot determine the specific optimal solution to the dual problem.

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Explanation:

Red ribbon = 21cm + blue ribbon

Blue ribbon = green ribbon - 48 cm

Green ribbon = 2m 35cm

converting the length to centimeter:

100cm = 1m

Green ribbon = 2(100) + 35cm = 200 + 35

Green ribbon = 235cm

Blue ribbon = 235cm - 48cm

Blue ribbon = 187cm

Red ribbon = 21cm + 187cm

can you see the workings?please resp

The point of concurrency of the right bisectors of the sides of a triangle is called the circumcenter.

- The right bisector of a side of a triangle is a line that divides the side into two equal segments and is perpendicular to that side.
- The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.
- The circumcenter is equidistant from the vertices of the triangle.
- It lies inside the triangle if the triangle is acute, on the triangle if the triangle is right-angled, and outside the triangle if the triangle is obtuse.
- The circumcenter is the center of the circle that passes through all three vertices of the triangle, known as the circumcircle.
- The circumcenter has a special property: it is equidistant from the three vertices of the triangle, which means the distances from the circumcenter to each vertex are the same.

In conclusion, the point of concurrency of the right bisectors of the sides of a triangle is the circumcenter, which is the center of the circumcircle and equidistant from the triangle's vertices.

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Answer:

Fantasia's family's car is more fuel-efficient.

Step-by-step explanation:

Given that, Tiyleah's family's car is getting 40 miles per gallon, and Fantasia's family's car uses 7 liters per 150 km.

The comparison can be done by observing the distance traveled by the cars in an equal amount of fuel. The car which covers more distance in an equal amount of fuel is more fuel-efficient.

First, convert the given units to have the same unit of measurement,

As 1 gallon =3.7854 liters and 1 mile = 1.609344 km

So, 40 miles =40 x 1.61=64.40 km

Now, The distance covered by Tiyleah's family's car is 64.40 km in 3.7854 liters.

So, the distance covered by Tiyleah's family's car in 1 liter of fuel is \(\frac{64.40}{3.7854}=17.01\) km

In a similar way,

As Fantasia's family's car uses 7 liters per 150 km.

So, the distance traveled by Fantasia's family's car in 1 liter of fuel =150/7=21.43 km

Observe that, in 1 liter of fuel, Tyleah's family's car covered 17.01 km while Fantasia's family's car covered 21.43 km which is more.

Hence, Fantasia's family's car is more fuel-efficient.

Answer:

Step-by-step explanation:

a. 110°

b. 70°

c. 110°

d. 70°

e. 110°

f. 70°

g. 110°

Answer:

$95.5090 must be deposited monthly

Step-by-step explanation:

From the information given:

The annual interest rate (r) = 4.2% = 0.042

Let assume that an amount Y is deposited, then after one month, it will increase to:

\(Y ( 1+ \dfrac{0.042}{12})\)

The total amount after 4 years will be:

\(= Y ( 1+ \dfrac{0.042}{12})^{48}+Y ( 1+ \dfrac{0.042}{12})^{47} +Y ( 1+ \dfrac{0.042}{12})^{46} +...+ Y ( 1+ \dfrac{0.042}{12})\)

\(= Y ( 1.0035)^{48}+Y ( 1.0035)^{47} +Y( 1.0035)^{46} +...+ Y( 1.0035)\)

Using the sum of a geometric progression:

\(= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{(1.0035-1)}\)

\(= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035}\)

The above amount is then equal to $5000

i.e

\(= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035} = 5000\)

\(Y = \dfrac{5000\times 0.0035}{(1.0035)(1.0035^{48}-1)} \\ \\ \mathbf{Y = \$95.5090}\)

7:56

Figure out what 7/3 is so you can multiply 24 by that number. Is is 2 1/3 so when you multiply 2 1/3 by 24 it gets you to 56 so the proportion is 7:56

The given sequence is arithmetic progression AP. The common difference is found to be (-11).

Arithmetic Progression (AP) is a number sequence in which the difference between two numerical order is a constant value. Arithmetic Sequence is another name for it.

We would then come across some key terms in AP, that are denoted as:

Some formula use in AP are-

Now as per the given question;

The given sequence is  97,86,75,64, ...........

Let the first term is'a₁' = 97.

Let 'a₂' = 86 is the second term.

Let the third term is 'a₃' = 75.

Let the fourth term be 'a₄' = 64.

As we know, in the AP, the difference between two consecutive terms is equal and therefore is referred to as the common difference.

d = a₂ - a₁      

Substitute the values;

d = 86 - 97 = -11     ........(equation 1)

Now consider other pair;

d = a₃ - a₂    

d = 75 - 86 = -11      .......(equation 2)

Put the values;

Thus, both the two equation are equal. It means the common difference is same that is (d  = -11).

Therefore, the stated sequence is found to be in AP and the value of the common difference is found to be (d = -11).

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Answer:

The answer to your problem is, 63

Step-by-step explanation:

So we know that he has 2,835 comic books. He is also going to put them in boxes to ship it in a book store.

1 Box = 45 Comic Books

So in order to solve the problem we need to divide:

The expression includes:

2,835 ÷ 45 = 63

Thus the answer to your problem is, 63

Given:

The expression is

\(-9xy^2z\)

To find:

The coefficient of x in the given expression.

Solution:

Coefficient of a variable is the product of a number and other variables multiplying the variable in an algebraic expression.

In the given expression the number and variables other than x are -9, y² and z.

So, coefficient of x is

\(-9\times y^2\times z=-9y^2z\)

Therefore, the correct option is (d).

Answer:

$4.50

Step-by-step explanation:

You would divide 6 by 4 to get 1.5 being $1.50 and then muiltpy it by 3 to get 4.50.

Answer:

5

Step-by-step explanation:

EF = 47 - 7x = 1/2 BC = 1/2 * (14+4x)

solve for x

x=6

so EF = 47-7*6 =  5

The value of  tan(45°+Θ) after using trigonometric ratio is  

1+tanΘ/ 1-tanΘ.

What is trigonometric ratios?

   There are six trigonometric ratios used in trigonometry: sine, cosine, tangent, secant, and cotangent. The abbreviations for these ratios are sin, cos, tan, sec, cosec(or csc), and cot. Look at the below-displayed right-angled triangle. Any two of the three sides of a right-angled triangle can be compared in terms of their relative angles using trigonometric ratios.

Here the given,

=> tan(45°+Θ)

Now using formula ,

=> tan(a+b) = \(\frac{tan a+tan b}{1-tan a*tanb}\)

=> tan(45°+Θ)= (tan 45°+tanΘ)/(1-tan45°*tanΘ)

We know that tan 45°=1 then ,

=> tan (45°+Θ)= 1+tanΘ/ 1-tanΘ

Hence the formula for  tan (45°+Θ) is  1+tanΘ/ 1-tanΘ.

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Answer:

B) Cylinder

Step-by-step explanation:

A cylinder is a tall shape that has a circle at its base and its top.  The curved surface (when stretched out) is a rectangle actually.

A cone has a circular base but is pointed at the top.

A sphere is 3D but doesn't have any circles as a base.

A triangular pyramid has a triangular base.

Hope this helps! :)

Answer:

hello! if you're talking about x², then 2 is what we call: B. Exponent.

Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.

The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.

In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.

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It is correct to say that any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.

Any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment. What is a perpendicular bisector? A perpendicular bisector is a line that intersects a line segment and forms a 90-degree angle. It divides the line segment into two equal halves.Each point on the perpendicular bisector of a line segment is equidistant from the endpoints of the segment. This means that the distance from any point on the line to one endpoint of the segment is the same as the distance to the other endpoint of the segment.

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Answer:

x = 4

Step-by-step explanation:
1.Distribute

2. Subtract 2 from both sides
3. Simplify
4. Divide both sides by same factor

5. Simplify
x = 4

Answer: 4

Step-by-step explanation:

We have to try getting x by itself to solve for it. Since we have two sides that are equal to each other, we can add, subtract, multiply, and divide anything on both sides to try to isolate x.

\(2(x+1)=10\)

We can first divide the left side and the right side by 2. This would remove the 2 being multiplied on the outside.

\(\frac{2(x+1)}{2}=\frac{10}{2}\\x+1=10\div 2\\x+1=5\)

Now, we have a + 1 on the left side that we need to remove to get x by itself. If we are adding something, we can remove that by subtracting the same thing. Hence, we can subtract 1 from both sides to remove the + 1.

\(x+1=5\\x+1-1=5-1\\x+0=4\\x=4\)

After all that simplifying, we get that x equals 4.

Answer:

$71766

Step-by-step explanation:

Cash price = 897060

10% deposit = 89706

Total 36 monthly payments = 24420 × 36 = 879120

monthly payment + deposit

879120 + 89706 = 968826

968826 - 897070

= 71766

The saving when paying in cash is $71766.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

The cash price of a car is $897060.

To pay by hire purchase requires a 10% deposit.

That means,

10% of 897060,

= 89706

And total 36 monthly payments = 24420 × 36 = 879120

Now,

Monthly payment + deposit

= 879120 + 89706

= 968826

The saving when paying in the cash,

= 968826 - 897070

= 71766

Therefore, $71766 is the saving in the cash.

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The value of the length of SP is 15 inches. So option C is true.

Used the concept of Pythagoras's theorem that states,

The well-known geometric theorem is that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Given that,

VW = 40

VG = 20

ST = 20

and, PT=25

Now, using Pythagoras's theorem

\(ST^2+SP^2=PT^2\)

Substitute the given values,

\(20^2+SP^2=25\)

\(400+SP^2=625\)

Subtract 400 on both sides,

\(PS^2 = 225\)

Taking square root on both sides,

\(SP=15\text{ inches }\)

Therefore, the length of SP is 15 inches. So, option C is true.

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The complete question is shown in the image.

a) The stem and leaf plot of the data is illustrated below.

b) Based on the stem-and-leaf plot, it appears likely that a coupon will "survive" beyond 2000 cycles since there are data points in that range.

First, we separate the data into stems and leaves. The stem represents the tens place, while the leaves represent the ones place. For example, if a data point is 1223, the stem would be 122 and the leaf would be 3. By organizing the data in this manner, we can easily determine the frequency of values and observe any patterns that emerge.

Now let's construct the stem-and-leaf plot for the given data:

Stem | Leaves

------+-------

7 | 06 58 85 90 98

8 | 45 65 85 85 88 90 90 93 94 94 98

9 | 10 55 69 69 90 90 90 90 90 93 94 94 94

10 | 15 20 23 23 26 30 33 40 42 42 50 58 60 62 62 74 85 90

11 | 02 02 06 09 20 20 22 23 26 35 52 52 52 52 55 67 90 90

12 | 03 20 20 22 23 33 33 58 58 69 90 90

13 | 15 35 42 46 58 70 82 98

14 | 02 35 42 81

15 | 18 23 35 40 42 52 67 74

16 | 42 60 42

17 | 06 30 50 81

18 | 20 22 50 82

19 | 30 90 92

20 | 10 30 50 70 82

21 | 00 00 02

22 | 33 33 58 58 90

23 | 33 33

24 | 20 22

25 | 33 65

For instance, a stem value of 8 with leaves 45 indicates two data points: 845 and 885. The frequency of each data point can be determined by counting the number of leaves associated with each stem.

Now, let's address the question of whether it appears likely for a coupon to "survive" beyond 2000 cycles. To answer this, we examine the stem-and-leaf plot. We observe that the stem value of 20 contains several leaves greater than 0, indicating that there are data points in the 2000s range. Additionally, the stem values of 21 and 22 also have leaves, suggesting the presence of data points beyond 2000 cycles.

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We are given the following historical rates of return for stocks A and B:  We can use the formula of average return to find the average annual return for stock A, which is as follows: are the rates of return for stock A.

On substituting the given values, Therefore, the average annual return for stock A is 0.0967.To find the standard deviation of returns, we can use the formula of standard deviation which is as follows .

For stock A: Therefore, the standard deviation of returns for stock A is 0.085.For stock B: Therefore, the standard deviation of returns for stock B is 0.0335. where $r$ is the rate of return, $\bar r$ is the average return, $N$ is the total number of observations and $\sigma$ is the standard deviation.

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Answer:

Rectangle

Solve for length

l=4cm

w Width

7

cm

P Perimeter

22

cm

Using the formula

P=2(l+w)

Solving forl

l=P

2﹣w=22

2﹣7=4cm

Answer:

the answer is inspection

Step-by-step explanation:

The equivalent expression to the given expression is x + 5.

The range of the function is [-5,∞).

What is a function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

Here, we have

Given: Expression = 3(x+4) - (2x+7)

We have to find the equivalent expression to the given expression.

= 3(x+4) - (2x+7)

= 3x + 12 - 2x - 7

= x + 5

Hence, the equivalent expression to the given expression is x + 5.

The range of the function f(x) = |x+3|-5

Here, we have

Given: Expression = 3(x+4) - (2x+7)

We have to find the equivalent expression to the given expression.

= 3(x+4) - (2x+7)

= 3x + 12 - 2x - 7

= x + 5

Hence, the equivalent expression to the given expression is x + 5.

The range of the function f(x) = |x+3| - 5.

f(x) =  |x+3| - 5, where x∈R

As we know,  |x+3| ≥ 0 ∀ x∈R

So by adding -5 on both sides of the above inequality

=  |x+3| - 5 ≥ -5

f(x) = =  |x+3| - 5 ≥ -5

Hence, the range of the function is [-5,∞).

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Answer: x ≠ -1/3

Step-by-step explanation:  (f/g)(x) = f(x)/g(x) = ∛2x/(3x+1)

hope this helps