You are looking at your power bill for the month, you pay 12 cents per kilowatt-hour. Your power bill came out to $74.80 how many KWH of energy were used in your house this month?

Answer: $126.00, the difference is 54.00

Step-by-step explanation:

126 ∛·÷÷∈∈πΔ≈∨∨⊃∪∡∠∉∉⇔βββ

Answer:

3 horses and 4 ducks

Step-by-step explanation:

let h be the no. of horses and d be the no. of ducks

h+d=7

d=7-h

Since horses have 4 legs and ducks have 2 legs,

4h+2d=20

4h+2(7-h)=20

4h+14-2h=20

2h=6

h=3

d=4

Answer:

y - 1= 0.25(x - 6)

Step-by-step explanation:

because.

Answer:

Suppose $100 is invested in each of these three accounts. After one year:

Account A: $100(1.12) = $112

Account B: $100(1.11) = $111

Account C: $100(1 + (.1075/2))^2 = $110.04

Account A has the most money after one year, so the amount should be invested in account A.

Answer:

oh no I lost the Answer is was 18369

Answer:

Step-by-step explanation:

Answer:

D the slope is undefined and the y intercept is -5

Step-by-step explanation:

quadrant II and III are on the left. the only way for a line to pass through those two quadrants without passing through I and I would have to be a negative x intercept. The slope would have to be undefined which would make a diagonal line. if the slope was 1 or anything higher it would end up hitting the other quadrants.

Hector and Gabrielle will have $638.45 in their savings account after two years of earning 13% interest compounded annually. They will be able to spend up to this amount on their trip.

To solve this problem, we need to use the formula for compound interest:

A = \(P(1 + r/n)^{(nt)\)

where:

A = the final amount

P = the initial deposit

r = the annual interest rate as a decimal

n = the number of times interest is compounded per year

t = the time in years

In this case, we have:

P = $500.00

r = 13% = 0.13 (as a decimal)

n = 1 (compounded annually)

t = 2 years

So, we can plug these values into the formula:

A = $500.00(1 + 0.13/1)²

A = $500.00(1.13)²

A = $500.00(1.2769)

A = $638.45

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Answer:

The real solutions of f(x)=0 are: 0, 2, 5, 6

Step-by-step explanation:

We are given:

The graph of y = f(x)

We need to find all of the real solutions of f(x) = 0?

By looking at the graph we need to find the values of y when x =0

Looking at the graph, when x=0 we get

0, 2,5 and 6

So, the real solutions of f(x)=0 are: 0, 2, 5, 6

I am attaching the figure, that determines the answers.

Answer:

A, C, D, and E

Step-by-step explanation:

B is not correct because you would have 5 = -5, which is not true

The particular solution to the initial value problem is: y = 3e^(3x) + (5 - 2√2)e^(-2x)cos(2x√2) + (2√2 - 7)/2)e^(-2x)sin(2x√2)

To solve the initial value problem d3ydx3−3d2ydx2−9 dydx 27y=0,y(0)=8,dydx(0)=−1,d2ydx2(0)=−8, we first need to find the characteristic equation:

r^3 - 3r^2 - 9r + 27 = 0

Factoring out an r, we get:

r(r^2 - 3r - 9) + 27 = 0

Using the quadratic formula to solve for r^2 - 3r - 9, we get:

r = 3, -2 ± 2i√2

So the general solution to the differential equation is:

y = c1e^(3x) + c2e^(-2x)cos(2x√2) + c3e^(-2x)sin(2x√2)

To solve for the constants c1, c2, and c3, we use the initial conditions:

y(0) = 8

dydx(0) = -1

d2ydx2(0) = -8

Substituting these into the general solution and simplifying, we get:

c1 + c2 = 8

3c1 - 2c2√2 + c3√2 = -1

9c1 + 4c2 - 4c3 = -8

Solving this system of equations, we get:

c1 = 3

c2 = 5 - 2√2

c3 = (2√2 - 7)/2

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Answer:

Width x length

Step-by-step explanation:

Find the width or how wide it is

Then find the length or how long it is

multiply those

Answer:

\(m\angle B = 28^{\circ}\)

Step-by-step explanation:

All angles in a triangle must add up to \(180^{\circ}\)

We can solve for \(\angle B\) using this knowledge

\(\angle B + 40 + 112 = 180\\\angle B + 152 = 180\\\boxed{\angle B = 28}\)

That is the answer

- Kan Academy Advance

Answer: Tension and compression refer to forces that attempt to deform an object. The main difference between tension and compression is that tension refers to forces that attempt to elongate a body, whereas compression refers to forces that attempt to shorten the body.

Step-by-step explanation: thank me later

1) The graph with the given vertex set and edge set can be represented as follows:

```

         1

       /   \

      6     7

     / \   / \

    3   2 3   1

   /     \   \

  6-------7---2

  |       |

  4-------8

  |       |

  9-------5

   \     /

    10---5

```

2) Yes, there is a cycle in the graph. The cycle consists of the following edges: {1, 6}, {6, 3}, {3, 7}, {7, 1}.

3) No, this graph is not complete. A complete graph is a graph where every pair of distinct vertices is connected by an edge. In this graph, not all possible edges are present. For example, the vertices 1 and 2 are not directly connected by an edge.

4) No, this graph is not bipartite. A bipartite graph is a graph where the vertices can be divided into two disjoint sets such that no two vertices within the same set are adjacent. In this graph, we can see that there are cycles involving odd-length paths, which indicates that it is not possible to divide the vertices into two disjoint sets satisfying the bipartite condition.

5) No, this graph is not a complete bipartite graph. To make it a complete bipartite graph, we would need to add edges connecting all vertices in set V1 to all vertices in set V2. In this graph, the missing edges that would need to be added are: {1, 2}, {1, 3}, {1, 4}, {1, 5}.

6) The adjacency matrix representation of this graph is:

```

   1  2  3  4  5  6  7  8  9  10

1   0  0  0  0  0  1  1  0  0  0

2   0  0  0  0  0  0  1  0  0  0

3   0  0  0  0  0  1  1  0  0  0

4   0  0  0  0  0  0  0  1  1  0

5   0  0  0  0  0  0  0  0  1  1

6   1  0  1  0  0  0  0  0  0  0

7   1  1  1  0  0  0  0  0  0  0

8   0  0  0  1  0  0  0  0  0  0

9   0  0  0  1  1  0  0  0  0  0

10  0  0  0  0  1  0  0  0  0  0

```

7) The linked-list based representation of this graph would consist of 10 linked lists, one for each vertex. Each linked list would contain the vertices that are adjacent to the corresponding vertex. For example:

Vertex 1: 6 -> 7

Vertex 2: 7

Vertex 3: 6 -> 7

Vertex 4: 8 -> 9

Vertex 5: 9 -> 10

Vertex 6: 1 -> 3

Vertex 7: 1 -> 2 -> 3

Vertex 8: 4

Vertex 9: 4 -> 5

Vertex 10: 5

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The function that represents the data in the table is 3x²+2. The correct answer is B.

The quadratic function is shown in the data table.

We must ascertain the function's equation.

The quadratic equation's generic form is

Let's replace the general form with the three coordinates (1,5, (2,14), and (3,29).

We therefore have;

a+b+c =5——— (1)

4a+2b+c= 14——— (2)

9a+3b+C =29------(3)

When (2) is subtracted from (1), we have;

9= 3a+b(4)

Subtracting (3) from (2) gives us;

15= 5a +b(5)

Subtracting (5) from (4) gives us;

6= 2a

3= a

As a result, the value of an is 3. When we replace this value in equation (4), we obtain;

3(3)+b= 9

b= 0

When a = 3 and b = 0 are substituted in equation (1), we obtain;

a+b+c =5

3+0+c=5

c=2

As a result, c has a value of 2.

As a result, when we substitute a = 3, b = 0, and c = 2 in the quadratic equation's general form y =ax²+bx+c, we obtain;

3x²+2

Consequently, the function that symbolizes the information in the table is 3x²+2

As a result, Option B is the right response.

Your question is incomplete but maybe your full question attached below

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It will take 15 hours more to build the wall using only 5 bricklayers.

This question deals with indirect proportion. To solve it, you need to first find the product of the number of bricklayers and the number of hours it took to build the wall.

= Number of bricklayers x Number of hours taken

= 8 x 25

= 200 bricklayer hours are required to build that wall if using 8 bricklayers.

Because you are using 5 bricklayers, the number of hours they will take is:

= Number of hours taken to build by 8 bricklayers/ Number of bricklayers available

= 200 / 5

= 40 hours

Difference is:

= 40 - 25

= 15 hours

In conclusion, it will take 5 bricklayers, 15 hours more to build the wall.

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The required expected population proportion that prefers to shop at places with loyalty cards is between 54.6% and 61.4%.

Given That,
In a survey conducted by a retail store, 58% of the sample respondents said they prefer to shop at places with loyalty cards. if the margin of error is 3.4%.

A population proportion is defined as the percentage of a population that belongs to a individual category. Certainty gaps are used to evaluate population proportions.

Here, the margin of error is 3.4%.
expected population proportion = 58% ± 3.4%
expected population proportion interval = (58% - 3.4%, 58% + 3.4%)
expected population proportion interval = (54.6%, 61.4%).

Thus, The required expected population proportion that prefers to shop at places with loyalty cards is between 54.6% and 61.4%.

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The minimum value of the objective function is approximately -1.0316, which occurs at (x1, x2) = (0.0898, -0.7126).

To solve the given problem using Bayesian Optimization, we need to define the objective function and specify the bounds for x1 and x2. The objective function is:

f(x1, x2) = (4 - 2.1x1^2 + (x1^4)/3)x1^2 + x1*x2 + (-4 + 4x2^2)x2^2

The bounds for x1 and x2 are x1 ∈ [-3, 3] and x2 ∈ [-2, 2].

We can use an off-the-shelf Bayesian Optimization solver to find the minimum value of the objective function. This solver uses a probabilistic model to estimate the objective function and iteratively improves the estimates by selecting new points to evaluate.

After running the Bayesian Optimization solver, we find that the minimum value of the objective function is approximately -1.0316. This minimum value occurs at (x1, x2) = (0.0898, -0.7126).

Using Bayesian Optimization, we have found that the minimum value of the objective function is approximately -1.0316, which occurs at (x1, x2) = (0.0898, -0.7126). Bayesian Optimization is a powerful method for finding the optimal solution in cases where the objective function is expensive to evaluate or lacks analytical form.

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Answer:

the correct answer is c

Step-by-step explanation:

I just know

Answer:

Step-by-step explanation:

You want the dimensions of the maximum rectangular area that can be enclosed by 200 feet of fencing if there is one partition in the middle of it.

We assume the identical adjacent rectangular corrals can be constructed by putting a partition down the middle of a larger rectangular corral. If the overall length of that larger corral is x, then the area will be ...

  total fence used on long sides: 2x

  total fence used on short sides and partition: 200 -2x

  length of short side: (200 -2x)/3

  overall area: 2x(200 -2x)/3 = (4/3)(100x -x²)

The length is the value of x that makes the area derivative zero:

  dA/dx = (4/3)(100 -2x) = 0

  100 = 2x . . . . . . make second factor zero

  50 = x

The length of the short side is then ...

  (200 -2x)/3 = (200 -100)/3 = 33 1/3

The enclosed area should be 50 ft long by 33 1/3 ft wide, with a 33 1/3 ft partition in the middle of the long side. Each pen will be 33 1/3 ft by 25 ft.

__

Additional comment

This problem can be solved without calculus by recognizing the area function as the equation of a parabola that opens downward. It has zeros at x=0 and x=100, so a maximum at its vertex at x=50.

The generic solution to a problem like this one is that the long sides use half the fencing and the remaining sides use half the fencing. Here, the two long sides total 200 ft/2 = 100 ft, so are 50 ft each. The remaining three lengths of fence total the other half, 100 ft, so the ends and center partition are 100/3 = 33 1/3 ft.

Often, a barn or river is involved, so that the fencing only needs to be used for 3 sides, The division of fence is the same. For maximum area, half is used in one direction, and the other half is used in the orthogonal direction.

If the cost of fence is different for each side or partition, the cost is minimum when it is split evenly between the orthogonal directions. The cost of the east-west sides will equal the cost of the north-south sides.

         The radius is half of the diameter, so to find the radius we will divide the value by 2.

[1] 6.1 cm

12.6 cm / 2 = 6.1 cm

[2] 15.54 ft

31.08 ft / 2 = 15.54 ft

[3] 5 \(\frac{7}{22}\) cm

10 cm / 2 = 5 cm

(7/11 cm) / 2 = \(\frac{7}{22}\) cm

5 cm + \(\frac{7}{22}\) cm = 5 \(\frac{7}{22}\) cm

[4] 3.674 m

\(\sqrt{54}\) / 2 ≈ 3.674 m

[5] 5.0625 in

10.125 in / 2 = 5.0625 in

The logarithmic form is written as logₐ(X)=b. It is a rearrangement of the exponential form, aᵇ=X.

What is Logarithmic Form?

The logarithmic form is written as logₐ(X)=b. It is generally the rearrangement of the exponential form, aᵇ=X. Any exponential equation can be written as a logarithm. The logarithmic form is mostly used to calculate an exponent of an equation. The logₐ(X)=b. is read as “log base a of X equals b“.

The logarithmic form is simply a rearrangement of an equation written in exponential form. The same numbers are used but they are written in a different order. The word log is written which implies that the logarithm function is being used.

Therefore, If the logarithmic form is logₐ(X)=b. then it is a rearranged as the exponential form as aᵇ=X.

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The coordinates E (-5, 3), F (-3, 5), G (5, -1), and H (one, negative) allow us to visualize and analyze the trapezoid's properties and relationships between its sides and angles.

The trapezoid EFGH is a polygon with four sides and one set of equal sides. The names of its vertices are as follows: The numbers are E (-5, 3), F (-3, 5), G (-5, -1), and H (one, negative).

On a Cartesian plane, the vertices' individual situations are addressed by their directions. In this case, E is located at (-5, 3)—that is, it is 5 units to the left and 3 units above the origin. In like manner, F is at (- 3, 5), exhibiting it is 3 units aside and 5 units over the start.

The trapezoid's parallel sides are EF and GH. The trapezoid's base is EF, and its top side is GH. By dividing the difference in y-coordinates squared by the square root of the difference in x-coordinates squared, the distance formula can be used to calculate the length of EF. In this case, EF is the square root of (22 + 22) = 8.

According to its coordinates, G is 5 units to the right and 1 unit below the origin. H (one, negative) indicates that it is one unit to the right of the origin and below the x-axis.

In conclusion, specific vertex coordinates define the trapezoid EFGH's shape and location on a Cartesian plane. The trapezoid's properties and connections between its sides and points can be imagined and investigated using the directions E (- 5, 3), F (- 3, 5), G (5, - 1), and H (one, negative).

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No, Is it not possible for A and B to be in- dependent events yet satisfy A = B?

Actually if two events are mutually exclusive it is only in a special case that they can be independent. The definitions state that two events A, B are mutually exclusive iff: P (A ∩ B) = 0, i.e. A ∩ B = ∅, independent iff: P (A ∩ B) = P (A) P (B). Assume know that A, B are both mutually exclusive and independent.

Two events A and B can be independent and yet satisfy A = B. In this case, the two events are identical, for example 'getting a head on the first flip' and they are always independent of themselves.

Yes, it is possible for events A and B to be independent and yet satisfy A = B. In probability theory, two events are considered independent if the probability of both events occurring is the product of the probabilities of each event occurring separately. If A = B, it merely means that the two events are identical. For instance, flipping a coin twice, the event A could be 'getting a head on the first flip' and event B could also be 'getting a head on the first flip'. Here, A = B and every event is independent of itself.

The value of the larger number is 39 and the value of smaller number is 7 and the equation is x =5y+4

What is an equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. For example, 3x + 5 = 15. There are different types of equations like linear, quadratic, cubic, etc.

Given,

The larger number is 4 more than 5 times of smaller number.

Let x be the larger number and y be the smaller number and the sum is 46.

According to question,

x = 4+5y

and x+ y = 46

Substitute the value of x, we get

4 +5y +y = 46

4 +6y = 46

6y = 42

y = 7

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Answer:

check online for more information

Answer:

Check online for more informations.

A) the three inequalities that must be satisfied are:

B) Graph shaded and satisfying all conditions is attached.

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions.

It is most commonly used to compare the sizes of two numbers on a number line.

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Answer:

(x,y) right arrow (negative x , y)

Step-by-step explanation:

Mathematically, when we reflect a point over the x-axis; we have a result

The result is that the x- coordinate of the point reflected takes up a negative value

so what we have here is that;

(x,y) becomes (-x,y) once reflected over the y-axis

So, traditionally, we add the arrow

So our answer is thus;

(x,y) right arrow (negative x , y)

Answer:

A.

Step-by-step explanation:

If the observed t-value exceeds the critical t-value, then the difference between the sample means is most likely statistically significant.

In other words, the difference between the sample means is unlikely to have occurred by chance and is likely due to a real difference in the population means. The direction and magnitude of the difference must be further examined using effect size measures and confidence intervals.

Therefore, the most suitable value to be fit in the blank space of the given incomplete statement is, statistically significant.

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