\(6^{3}\) times \(6^{7}\)

1.\(6^{21}\)
2.\(36^{21}\)
3.\(6^{4}\)
4.\(6^{10}\)

Answer:

The solution set is {-3, -2, -1, 0, 1 }

Step-by-step explanation:

Split it into 2 inequalities:

3x + 4 > 2x

x + 4 > 0

x > -4.

3x + 4 ≤ x + 6

2x ≤ 6 - 4

2x ≤ 2

x ≤ 1

Answer:

0.35

Step-by-step explanation:

The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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Answer: The Bellman-Ford algorithm is a shortest path algorithm used to find the shortest path from a source vertex to all other vertices in a weighted directed graph that may have negative weight edges. It was invented by Richard Bellman and Lester Ford Jr. in 1958.

The Bellman-Ford algorithm works by maintaining an estimate of the shortest distance from the source vertex to each of the other vertices in the graph. Initially, the estimate for the source vertex is set to zero, and the estimate for all other vertices is set to infinity. Then, for each vertex in the graph, the algorithm considers all the outgoing edges from that vertex and updates the estimates for the adjacent vertices, if a shorter path is found. This process is repeated for all vertices in the graph, until no more updates are possible.

The Bellman-Ford algorithm can also detect negative weight cycles in the graph. A negative weight cycle is a cycle in the graph whose total weight is negative. If the algorithm detects the presence of a negative weight cycle, it reports that the graph has no shortest paths, since the distance to a vertex can be made arbitrarily small by traversing the negative weight cycle repeatedly.

The time complexity of the Bellman-Ford algorithm is O(|V||E|), where |V| is the number of vertices and |E| is the number of edges in the graph. The algorithm is slower than other shortest path algorithms, such as Dijkstra's algorithm, but it can handle graphs with negative weight edges, while Dijkstra's algorithm cannot.

Step-by-step explanation:

Answer

There are 36 combinations and 181440 permutations

Explanation

The number of combinations of n object taking r at a time is given by the formula;

From the question, n = 9 and r = 7, then substitute these values into the formula

The number of permutations of n object taking r at a time is given by the formula;

Also, n = 9 and r = 7, then substitute these values into the formula to get the number of permutations

Therefore, there are 36 combinations and 181440 permutations

Both triangles are similar.

Given that;

Triangle LMN has sides MN=42 and NL=52.5.

And, Triangle GHN has sides HN=32 and NG=40.

Hence, Ratio of MN and NL is,

MN / NL = 42 / 52.5 = 0.8

And, Ratio of HN and NG is,

HN / NG = 32 / 40 = 0.8

So, Both triangles are similar.

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Answer:

1/4 of ur pens

Step-by-step explanation:

Answer:

$0.90

Step-by-step explanation:

15 x 0.06 = 0.9

You paid tax $0.9 for an umbrella.

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:

You buy an umbrella for $15 with the tax rate of 6%.

The taxed amount = 15 x 6 / 100

= 90/100

= $0.9

Therefore, the tax amount is $0.9.

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Answer:

13. x = 2 - 5y

14. x= 6y + 2

Answer:

I don't understand either so I can't help

Answer:

6

Step-by-step explanation:

Long story short trust me

Answer:

6

Step-by-step explanation:

Solving a linear equation, we can see that her travel was 38.5 miles long.

We know that Uber charges $10.75 as a fixed fee plus $0.50 per mile, then the cost for x miles is modeled by the linear function:

y = 10.75 + 0.5*x

We know that Ashley paid 30 dollars for her ride, then we need to solve the equation:

30 = 10.75 + 0.5x

30 - 10.75 = 0.5x

19.25 = 0.5x

19.25/0.5 = x = 38.5

So her travel was 38.5 miles.

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Answer:

18 inches

Step-by-step explanation:

5x12=60

60-42=18

18 inches is the correct answer

The measure of ∠ LMN in kite KLMN be 49°.

In geometry, a polygon's angle is made up of two of its sides that have a common terminal. If a point within the angle is inside the polygon's interior, the angle is referred to as an interior angle for a simple polygon, whether it is convex or not.

Interior angles are those that are located inside a shape, or they can also be described as the angles that are located in the region enclosed by two parallel lines and a transversal.

The total of a triangle's three interior angles will always be 180 degrees. A triangle cannot have a single angle with a measure of 180° since the other two angles (180° + 0° + 0°) would not be present.

If the measure

LM = MN

LK = KN

∠ MNK = ∠ MLK

we have

∠ MNK = 106°

∠ LKN = 99°

∠ MLK = 106°

The sum of the internal angles in the kite exists equivalent to

∠ MNK + ∠ LKN + ∠ MLK + ∠ LMN = 360°

substitute values and solve for ∠ LMN

∠ LMN = 360° - 106° - 106° - 99°

∠ LMN = 49°

Therefore, the measure of ∠ LMN in kite KLMN be 49°.

The complete question is:

What is the measure of ∠LMN in kite KLMN?

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Answer:

x = 0, 2

Step-by-step explanation:

The missing sides of the special right triangles are listed below:

Case 1: y = √2 · 13, x = 13

Case 2: x = y = 15√2

Case 3: x = 6, y = 3√3

Case 4: x = 17√3, y = 17

Case 5: x = y = 10

Case 6: x = 50, y = 25

Case 7: x = y = 4√7

Case 8: x = 16√3, y = 8√3

Case 9: x = 11√3, y = 33

Case 10: x = 3√2, y = 2√6

Case 11: x = √10, y = 2√5

Case 12: x = 4√7, y = 8√21

Herein we find twelve cases of special right triangles whose missing sides must be determined by using the following rules:

45 - 90 - 45 Right triangle

r = √2 · x = √2 · y

30 - 60 - 90 Right triangle

x = (1 / 2) · r

y = (√3 / 2) · r = √3 · x

Where:

Case 1

y = √2 · 13

x = 13

Case 2

x = y = 15√2

Case 3

x = 3 / (1 / 2)

x = 6

y = 3√3

Case 4

x = 34 · (√3 / 2)

x = 17√3

y = 34 · (1 / 2)

y = 17

Case 5

x = y = 10

Case 6

x = 25√3 / (√3 / 2)

x = 50

y = 25√3 / √3

y = 25

Case 7

x = y = 2√14 · √2 = 2√28 = 4√7

Case 8

x = 24 / (√3 / 2)

x = 48 / √3

x = 16√3

y = 24 / √3

y = 8√3

Case 9

x = 22√3 · (1 / 2)

x = 11√3

y = 22√3 · (√3 / 2)

y = 33

Case 10

x = √18

x = 3√2

y = √6 / (1 / 2)

y = 2√6

Case 11

x = √10

y = √20

y = 2√5

Case 12

x = 4√21 / √3

x = 4√7

y = 4√21 / (1 / 2)

y = 8√21

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Answer:

c = $666

Step-by-step explanation:

he already paid $306 then pays $60 for 6 months which is $360

so $360 + $306 is $666 which is c

Answer:

£13496.80

Step-by-step explanation:

We can ignore the £ sign for now, that is just units.

If we decrease a number by 4.5%, we will have to find \(100-4.5=95.5\)% of 14132.77.

We can easily do this by setting up a proportion.

\(\frac{x}{14132.77} = \frac{95.5}{100}\)

Multiply 14132.77 by 95.5:

\(14132.77\cdot95.5=1349679.535\)

Divide by 100:

\(1349679.535\div100=13496.79535\)

Rounding this to two decimal places, it simplifies to 13496.80.

Hope this helped!

Answer:

108 in.

Step-by-step explanation:

SA = 2(lw + wh + lh)

SA = 2((6)(4) + (4)(3) + (6)(3)

SA = 2(24) + (12) + (18)

SA = 2(54)

SA = 108 in.

Answer:

108

Step-by-step explanation:

The length of the rectangular countertop is 6x - 4.

To find the length of the rectangular countertop, we have to substitute the given values in the formula for the area of the rectangle, which is A = l × w
12x² + 10x - 12 = (2x + 3) × l
6x² + 5x - 6 = 3x × l + 3 × l
6x² + 5x - 6 = 3lx + 3l
6x² + 5x - 6 = 3l(x + 1)
3l = (6x² + 5x - 6) / (x + 1)
3l = (6x² + 9x - 4x - 6) / (x + 1)
3l = 3(2x² + 3x - 2) / (x + 1)
l = (2x² + 3x - 2) / (x + 1)
l = [(2x - 1) (x + 2)] / (x + 1)
Therefore, the length of the rectangular countertop is 6x - 4.

Summary:
The formula for the area of the rectangle is A = l × w. We substitute the given values in the formula to find the length of the rectangular countertop. After simplifying the expression, the length of the rectangular countertop is found to be 6x - 4.

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Answer:

x plus 1

Step-by-step explanation:

Answer:

x+1

Step-by-step explanation:

if you simplify the equation, you will get x+1

first, you take the parentheses away.  The equation becomes

3x-2x-4+5

then you combine like terms

x+1

The equation of the line for the given slope 1 is y= x + 2

Equation of the line:

An equation of the line refers the algebraic form of representing the set of points, which together form a line in a coordinate system.

Given,

The point where the graphs of two equations intersect has y-coordinate 2. One equation is y = -3x + 5.

Here we need to find the other equation if its graph has a slope of 1.

We know that, the general representation of equation of line is y= ax + b

where a is the slope and b is the y intercept.

Through the given details we know that the slope of the line is 1 and why is point where two lines intersect hence, it is the intercept.

And the intercept value is 2.

Therefore, the equation of the other line is y= x + 2

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Answer:

182.88

Step-by-step explanation:

12x6=72

2.54x72

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When performing calculations, retain 9 decimal places throughout the calculations. However, when reporting the final answers, round them to 2 decimal places. This applies to various units such as years, dollars, percentages, and times. For example, if the answer is 9 times, report it as 9.00, and if the answer is $48,000, report it as 48,000.00. Be precise with rounding and reporting to maintain consistency and accuracy.

In financial calculations, it is important to maintain precision during intermediate calculations to minimize rounding errors. By retaining 9 decimal places throughout the calculations, we can ensure that the accuracy is preserved. However, when presenting the final results, it is common practice to round the numbers to a more readable format with 2 decimal places.

For instance, in Problem 1, calculating the current bond price involves complex calculations using the bond's coupon rate, years to maturity, and yield to maturity (YTM). Throughout the calculation, it is necessary to maintain the accuracy of intermediate values with 9 decimal places. However, when reporting the final bond price, we round it to 2 decimal places for clarity.

Rounding to 2 decimal places is also applied in other problems, such as calculating bond yields (Problem 2 and Problem 4), coupon rates (Problem 3), real rates of return (Problem 5 and Problem 6), and stock values (Problem 7, Problem 8, Problem 9, and Problem 10). By following the rounding guidelines, we ensure consistent and precise reporting of the results.

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Using the ti-83 plus/ti-84 plus calculator, the 25th percentile of x is equal to 47.25 with a mean of 48 and a standard deviation of 12, respectively.

A dataset's mean is calculated by dividing the sum of all values by the total number of values. The term "average" is frequently used to describe it because it is the most widely used central tendency metric.

calculation

a) µ =     48    

σ =     12    

n=    115    

X =    45    

Z =(X - µ )/(σ/√n)  =     (45-48)/(12/√115)=    -2.68

P(X<45) = P(Z<-2.68) =         0.0037

b) µ =     48.00    

σ =     12.00    

n=    115.00    

P(X ≤ x) =    0.2500    

z value at  0.25=    -0.674        (excel formula =NORMSINV(0.25))

z=(x-µ)/(σ/√n)        

X=z * σ/√n +µ= -0.674*12/√115+48=        47.25

Using the ti-83 plus/ti-84 plus calculator, the 25th percentile of x is equal to 47.25 with a mean of 48 and a standard deviation of 12, respectively.

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Answer:

57 \(cm^{2}\)

Step-by-step explanation:

Rectangle

a = l x w

a = 8 x 6 = 48

Triangle

a = 1/2 bh

a = 1/2(6)(3)

a = 1/2 (18)

a = 9

48 + 9 = 57

Helping in Jesus' name.

There are points P, M & Q collinear are not collinear because they didn't lie in the same line but they are coplanar.

Collinear points are defined as points that are along a straight line represented by a collinear. Because a straight line may be drawn continuously between any two points, they are always collinear. There can be a collinear relationship from three or more points, although it is not necessary.

We have given a line and a planar surface with points O, M, N, Q, P, S, and T.

Here three planes that intersect at point P which are PMN plane, PQM plane and QST plane.

Here three planes that intersect at point S which are STN plane, MNS plane and QST plane.

Here points P, M & Q collinear are not collinear because they didn't lie in the same line but they are coplanar.

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Answer:2.81

Step-by-step explanation:

Answer:

-10 3/4

Step-by-step explanation:

I think it's that

Answer:

-10 3/4:)

Step-by-step explanation: