express your answer as the given base related to a single exponent (6^3)^5

Answer:

The answer is=

41887.551

Answer:

345

Step-by-step explanation:

Answer:

d = 2/27

Remember that when a variable is times with a number you divide the number on both sides.

When a variable is divided by a number, you multiply the number on both sides.

Hope this helps you and thank you !!

Answer:

The area of 6 KM and 6 KM is 36 KM (kilometers).

For the given figure,   x = 23°  and      y = 129°

Parallel lines:

                        Parallel lines are lines that always stay the same distance apart and never meet.

Transversal line :

                             A transversal is a line that crosses two or more other lines.

given,

     ∠TLN = (3x - 18)°

    ∠MZQ = (5x + 14)°

    ∠NLM = y°

Now,

         ∠MZP + ∠MZQ = 180°  (Linear Pair)

        ∠MZP  = 180° - ∠MZQ  ...........(I)

again,

          ∠NLM + ∠TLN  =180°  ...........(II)      (Linear Pair)

  As,         ∠TLN = ∠MZP  (Corresponding Angle)

             (3x - 18)° =  180° - ∠MZQ  

           (3x - 18)° = 180° - (5x + 14)°

         3x + 5x  = 180° - 14° + 18°

           8x = 184°

           x = 184 / 8

          x = 23°

      From (II),

      ∠NLM + ∠TLN  =180°

    y° + 3x - 18° = 180°

 y = 180 - 3x + 18

     = 180 - 3* 23 + 18

      = 180 - 69 +18

     y = 129°

For the given figure,

                                     x = 23°  and      y = 129°

To learn more about Parallel line visit:

https://brainly.com/question/17432060

#SPJ9

The ratios are;

Sin θ =  5/6

Cos θ = √11/6

Tan θ =  5√11/11

Sec  θ =  6√11/11

Cosec  θ = 6/5

Cot θ =  √11/5

These trigonometric ratios are used to relate the angles of a right triangle to the lengths of its sides

We can see that the hypotenuse is obtained from;

x =√\((10)^2 + (2\sqrt{} 11)^2\)

x = √100 + 44

x = 12

Then;

Sin θ = 10/12 = 5/6

Cos θ =  2√11/12

= √11/6

Tan θ = 10/2√11

= 20√11/44

= 5√11/11

Sec  θ =  1/Cos  θ

=  6/√11

= 6√11/11

Cosec  θ = 1/Sin

 θ = 6/5

Cot θ = 1/tan θ

= 11/ 5√11

= 55√11/275

= √11/5

Sinβ = 2√11/12

= √11/6

Cos β = 10/12

= 5/6

Tan β = 2√11/10

= √11/5

Sec β = 6/5

Cosec β = 6√11/11

Cot β = 5√11/11

Learn more about trigonometric ratios:https://brainly.com/question/23130410

#SPJ1

a. The areas of the square is 81m² and for rectangle is 72m²

b. The perimeter of the square is 40m

a. To determine the area of the shapes in which we have that have a perimeter of 36m, we can consider rectangle and square.

For a square;

Perimeter of square = 4L

36 = 4L

L = 9m

The area of the square will be L² = 9² = 81m²

For a rectangle;

The perimeter of rectangle is;

P = 2(L + W)

We can assume that two numbers which will represent the length and width are;

L = 12m, W = 6m or L = 6m, W = 12m

A = 12 * 6 = 72m²

b.

The area of the wire is 100m², the perimeter for this can be calculated when we consider square and rectangle;

Perimeter of square = 4L

Area of square = L² = 100m²

L = 10m

The perimeter of the wire is 4(10) = 40m

Learn more on perimeter and area of rectangle and square here;

https://brainly.com/question/25292087

#SPJ1

Answer:

Here,

At first we know that parallel line cut transversal lines. They make them in a proportion.

h/10 = 9/13

h = 10 × 9/13

h = 90/13

h = 6.92

\( \\ \)

Answer:

6.92

Step-by-step explanation:

QT/QU = TR/US

13/10 = 9/h

Cross multiply to find the answer.

Answer:

9x²-36\(y^{5}\)

Step-by-step explanation:

The matching parts of vectors a and c to find a + c. For instance, (1, -2, 4) + (2, 3, -1) = (3, 1, 3).

The equations and calculations to determine the vectors a and c's sum are as follows:

Assume that vector an is shown as (a1, a2, a3) and that vector c is shown as (c1, c2, c3).

Then, by adding each of their respective components, it is possible to determine the vectors a and c's sum, denoted as a + c:

A plus C equals (A+C1, A+C2, A+C3, etc.)

For instance, if a = (2, 3, -1) and c = (1, -2, 4), we can use the following formula to get their sum:

a + c = (2 + 1, 3 - 2, -1 + 4) = (3, 1, 3) (3, 1, 3)

As a result, the vectors a and c's sum is (3, 1, 3).

Learn more about vector here

https://brainly.com/question/15709504

#SPJ4

The angle of sinθ between the horizontal vector (1, 0) and the slant vector (15/17, -8/17) is sin⁻¹(8/17), which is approximately 29.11 degrees.

To find the angle of sinθ between a horizontal vector and a slant vector, we can use the dot product formula:

a · b = |a| |b| cos(θ)

where a and b are vectors, |a| and |b| are their magnitudes, and theta is the angle between them.

In this case, the horizontal vector is (1, 0) and the slant vector is (15/17, -8/17).

The magnitude of the horizontal vector is 1, and the magnitude of the slant vector is:

|b| = sqrt((15/17)² + (-8/17)²) = sqrt(225/289 + 64/289) = sqrt(289/289) = 1

The dot product of the two vectors is:

a · b = (1)(15/17) + (0)(-8/17) = 15/17

So we have:

15/17 = (1)(1) cos(θ)

cos(θ) = 15/17

To find sin(θ), we can use the trigonometric identity:

sin²(θ) + cos²(θ) = 1

sin²(θ) = 1 - cos²(θ) = 1 - (15/17)² = 64/289

Taking the square root of both sides, we get:

sin(theta) = sqrt(64/289) = 8/17

To learn more about the vectors;

brainly.com/question/13188123

#SPJ1

The domain of the relation S is the set of all x-values from the ordered pairs in the relation. In this case, the given ordered pairs are (3, p), (3, 0), (4, g), and (1, 4).

To find the domain, we collect all the unique x-values from these ordered pairs.

From the given pairs, we have x = 3, x = 4, and x = 1. However, note that (3, p) and (3, 0) have the same x-value of 3. When considering the domain, we only need to list unique x-values.

Therefore, the domain of the relation S can be expressed as:

domain = {1, 3, 4}

Moving on to the range of the relation S, it refers to the set of all y-values from the ordered pairs.

From the given pairs, we have y = p, y = 0, y = g, and y = 4. Similarly, we need to consider only unique y-values when determining the range.

Thus, the range of the relation S can be expressed as:

range = {0, 4, g, p}

It's important to note that the specific values of g and p are not given in the question. So, in the range, g and p are considered as distinct symbols representing unknown values.

For more such questions on domain.

https://brainly.com/question/30096754

#SPJ8

Answer:

y = kxz. y = 10.8

Step-by-step explanation:

y = kxz, where k is a constant.

12 = k(4)(5) = 20k

k = 12/20 = 0.6.

y = kxz

= (0.6) (6) (3)

= 10.8

Answer:

4*x^2+5x

Explanation:

If we have to organize the list of 5 points that a basketball player games in 5 games. We can use:

(game number, points in that game)

This is the coordinate pair we choose.

The x coordinate is the game number (1 through 5).

The y-coordinate is the scored points in each game (given).

Looking at the choices, the only one that makes sense is First Choice.

This statement in the article is wrong because $2.69 is not the mean price ($2.81)

The prices from 5 gas stations surveyed are given as:

$2.79, $2.99, $2.69, $2.89, and $2.69.

There are no outliers in the dataset

So, the dataset can be summarized by the mean

The mean is

Mean = Sum/Count

So, we have

Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5

Evaluate

Mean = 2.81

The article quoted $2.69 as the typical price

This statement in the article is wrong because $2.69 is not the mean price ($2.81)

Read more about mean at:

https://brainly.com/question/20118982

#SPJ1

Answer:

B

Step-by-step explanation:

The statement as an equation is 1/5x = 1 1/2.

From the question, we have the following statement that can be used in our computation:

The product of 1/5 and a number is equal to 1 1/2.

Represent the numbers as x

So, we have the following representation

The product of 1/5 and x is equal to 1 1/2.

Introduce the equality symbols

So, we have

The product of 1/5 and x = o 1 1/2.

Next, we have

1/5 * x = 1 1/2.

Express as products

1/5x = 1 1/2.

hence, the expression is 1/5x = 1 1/2.

Read more about expressions at

https://brainly.com/question/29864543

#SPJ1

Answer:

I believe it is y=1x or y=x

Answer:

14

Step-by-step explanation:

The constant of proportionality is the y number when x is 1.  Look on the bottom of the graph.  Find 1, so up to the line and then across left to the y axis.  you will be at 14.  This means that every time the x increases by 1, the increases by 14

The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

Learn more about standard deviation here: https://brainly.com/question/24298037

#SPJ1

Answer:

false

Step-by-step explanation:

In a population, the percentage or fraction which is not conforming to (defeating) is defined as a ratio of the population's figures of non-conforming goods to the sum of goods in the inhabitants, and the further discussion can be defined as follows:

Learn more:

brainly.com/question/14467399

The meer-kitty survey feedback tab has limitations in its data. The survey results must have at least 120 unique responses to be considered useful and aligned with the business objective. The current data, however, only has 40 total responses, with 11 of them coming from one user. This skews the results and makes it difficult to accurately analyze the feedback.

To address these limitations, it is recommended to remove the duplicates, in this case the 11 responses from one user, and focus on the remaining 29 unique responses. This will provide a clearer picture of the survey results and a more accurate representation of the feedback. By doing so, the analysis of the data will be better aligned with the original business objective and provide more valuable insights.

It is important to consider the limitations of the data when conducting any type of analysis, especially when it comes to surveys and feedback. By taking the necessary steps to ensure the data is as accurate and reliable as possible, the results of the analysis will be more meaningful and relevant to the business.

Learn more about survey

brainly.com/question/28178429

#SPJ4

The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.

We can see this by comparing the growth rates of the three functions for larger and larger values of x.

As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.

if we plug in x = 10, we get:

f(10) = 4×2¹⁰ = 4×1024 = 4096

h(10) = 9×10² + 25 = 925

g(10) = 15×10 + 6 = 156

As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ1

If greenfield company has a piece of manufacturing equipment with a book value of $40,000 and a remaining useful life of four years.  the total increase or decrease in income by replacing the current equipment with the new equipment is:$22,000 decrease.

Here, we have,

to find the increase or decrease in income

Annual Savings $76,000

($19,000 × 4 years)

Add Proceeds from Sale of Machine $22,000

Total  $98,000

Total increase or decrease in income = $98,000 - $120,000

Total increase or decrease in income = $22,000 (Decrease)

Therefore the decrease in income is $22,000.

Learn more about decrease in income here:

brainly.com/question/28344066

#SPJ1

complete question:

granfield company has a piece of manufacturing equipment with a book value of $40,000 and a remaining useful life of four years. at the end of the four years the equipment will have a zero-salvage value. granfield can purchase new equipment for $120,000 and receive $22,000 in return for trading in its current equipment. the current equipment has variable manufacturing costs of $39,000 per year. the new equipment will reduce variable manufacturing costs by $19,000 per year over its four-year life. the total increase or decrease in income by replacing the current equipment with the new equipment is:

The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

for such more questions on vector

https://brainly.com/question/15519257

#SPJ8

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

for such more question on linear function

https://brainly.com/question/9753782

#SPJ8

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer:

b because it more useful

Answer:

b

Step-by-step explanation: