(a) Write down the value of xº
Given that 2-3 x 2⁹ = 2n
(b) find the value of n

On solving the provided question, we can say that difference of cylinder between the height of the soap 8 cm.

One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.

[volume of cylinder]=pi*r²*h- =  h=[volume of cylinder]/(pi*r²)

Volume=5652 cm³

r=7.5 cm, so,  h= [tex][5652]/(3.14*7.5²) = h=32 cm[/tex]

the height of the soap in the full dispenser is 32 cm

the height when 4,239 cubic centimeters of soap remains in the dispenser is h  [tex]=[4239]/(3.14*7.5²) = h=24 cm[/tex]

the difference is [tex]32-24 = 8 cm[/tex]

the answer is

8 cm

To know more about cylinder visit:

https://brainly.com/question/16134180

#SPJ4

The inverse of a function is a function that "undoes" the original function. If f is a function and x is an element in the domain of f, then the inverse of f is denoted as f^-1(x) and is defined as the element in the domain of f such that f(f^-1(x)) = x.

The symbol "φ" (phi) is not a commonly used notation for any function. It is a Greek letter and can be used in different fields such as physics, mathematics, and engineering to represent different things depending on the context.

It is important to note that not all functions have inverses. A function has an inverse only if it is a bijective function, which is a function that is both injective and surjective, meaning that it maps every element of the domain to a unique element in the range and vice-versa.

So to find the inverse of a function, you have to first make sure that the function is bijective. If so, you can find the inverse function by switching the positions of x and y, then replacing y with f^-1(x) or x with f^-1(y) and solving for the new x or y.

To know more on inverse

https://brainly.com/question/2848580

#SPJ4

Answer: Hello your question is quite vague but i will provide a general answer within the scope of your company

answer : D = Y + Z  

Step-by-step explanation:

Moving from city W to city x

Given that there is a milestone at the beginning of the journey ( i.e. at City W )

and Another milestone is Located between City W and City X after traveling for time T

lets assume

distance between Milestone at W and milestone between W and x =  Y

distance between City x and milestone between City W and City x = Z

Finally to determine the Distance between City x and city W

D = Y + Z  

Answer:

Area of smaller shape = 245 cm²

Step-by-step explanation:

Given:

Scale factor ration [Big shape to small shape] = 14:7

Area of bigger shape = 490 cm²

Find:

Area of smaller shape

Computation:

Area of smaller shape = Area of bigger shape[7 / 14]

Area of smaller shape = 490[7 / 14]

Area of smaller shape = 490[7 / 14]

Area of smaller shape = 35[7]

Area of smaller shape = 245 cm²

Answer:

Option 1

Step-by-step explanation:

Given expression representing the partial sum of the geometric series,

[tex]\sum_{n=1}^{n=4}(125)(\frac{1}{5})^{n-1}[/tex]

Expression that represents the sum of a geometric series is,

[tex]\sum_{n=1}^{n}(a)(r)^{n-1}[/tex]

Here, n = number of terms

a = first term

r = common ratio

By comparing both the expressions,

n = 4

a = 125

r = [tex]\frac{1}{5}[/tex]

From the given options,

Option 1

First term 'a' = 125

Common ratio 'r' = [tex]\frac{25}{125}[/tex] = [tex]\frac{1}{5}[/tex]

Number of terms 'n' = 4

Therefore, Option 1 will be the correct option.

Answer:

AB ≈ 9.11

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan44° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{8.8}{AB}[/tex] ( multiply both sides by AB )

AB × tan44° = 8.8 ( divide both sides by tan44° )

AB = [tex]\frac{8.8}{tan44}[/tex] ≈ 9.11 ( to 3 sf )

Answer:

B

Step-by-step explanation:

-5-(-7)=2 1/4+1/2=3/4

Step-by-step explanation:

KLH is a triangle, and the sum of all angles in a triangle is 180°.

now, we know the angle at L = 134°.

because of the symmetry of the angles in such a regular parallelogram, the upper angle at H is 25°, and the lower angle at H (one of the angles in our triangle) is (4x + 9)°.

and the upper angle at K is (4x + 9)°, and the lower angle at K is 25°.

so, we have

180 = 134 + 25 + (4x + 9) = 159 + 4x + 9 = 168 + 4x

12 = 4x

x = 12/4 = 3

The expanded form in terms of the sums of powers to tens of 237.45 is [tex]2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2}[/tex]

As per the given data the given decimal number is 237.45.

Here we have to determine the expanded form in terms of the sums of powers to tens.

Expanded Form: In its extended sense, A number is divided up into its place values, then expanded to represent the value of each digit.

Then N can be written in expanded in for terms of 10 is

[tex]$$\Rightarrow N=a \times 10^2+b \times 10^1 + c \times 10^0+d \times 10^{-1}+e \times 10^{-2}$$[/tex]

Let the given number 237.45 is denoted by N.

N = 237.45

First, write the expanded form of a number before the decimal place.

Then using [tex]$\circledast$[/tex], we have

[tex]& N=2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times \frac{1}{10}+5 \times \frac{1}{10^2} \\[/tex]

[tex]& N=2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2} \\[/tex]

237.45 = [tex]2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2}[/tex]

Therefore the expanded form of 237.45 is [tex]2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2}[/tex].

For more questions on expanded form

https://brainly.com/question/20875957

#SPJ4

Which of the following expressions represents 237.45 written in expanded form in terms of the sums of powers to tens

A. [tex]$2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2}$[/tex]

B. [tex]$237 \times 100+45 \times 1 / 1000$[/tex]

C. [tex]$2 \times 10^2+3 \times 10^1+7 \times 10^0-4 \times 10^1-5 \times 10^2$[/tex]

D. 200+30+7+0.4+0.05

Answer:

[tex](x,y)\rightarrow(3,2)[/tex]

Step-by-step explanation:

I assume you mean [tex]\log_x(27)+\log_y(4)=5[/tex] and [tex]\log_x(27)-\log_y(4)=1[/tex]:

[tex]\biggr(\log_x(27)+\log_y(4)\biggr)-\biggr(\log_x(27)-\log_y(4)\biggr)=5-1[/tex]

[tex]2\log_y(4)=4\\\log_y(4)=2\\4=y^2\\2=y[/tex]

[tex]\log_x(27)+\log_y(4)=5\\\log_x(27)+\log_2(4)=5\\\log_x(27)+2=5\\\log_x(27)=3\\27=x^3\\3=x[/tex]

Answer:

1500 ml

Step-by-step explanation:

Answer:

1500 kkkkkkkkkkkkkkkkk

The area of a square with a length of ((n ^ 3 * m ^ 4)/(nm)) ^ 2 inches is n^6*m^8/(nm)^4.

In geometry, a square is a flat shape with four equal sides and four right angles (90°). A square is an unique sort of parallelogram as well as an equilateral rectangle (an equilateral and equiangular one).

The general formula to find area of square is A=a^2 where is a is length of sides.

The area of a square is given by:

A= l^2 where l is the length

So l= n^3*m^4/(nm)^2

A=l^2= n^6*m^8/(nm)^4

So area of the square is n^6*m^8/(nm)^4.

To learn more about area of square visit the link:

https://brainly.com/question/25092270

#SPJ1

Answer:

D. 18, 24, 30

Step-by-step explanation:

The easy way to do this is to look for the answer with equal differences between the numbers:

24-18 = 6

30-24 = 6

We can do this because we know the triangles are similar. The difference between 15, 20 and 20, 25 is equal.  

The age group that falls between two standard deviations is 20 to 28.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean.

Given, The average age of a university student was found to be 24 with a standard deviation of 2.

Therefore, age group is within 2 standard deviations of the mean is,

24 + 2×2 = 24 + 4 = 28,

And 24 - 2×2 = 24 - 4 = 20.

So, The age group between 20 to 28 falls within 2 standard deviations of the mean.

learn more about standard deviation here :

https://brainly.com/question/23907081

#SPJ2

Answer:

B

Step-by-step explanation:

[tex]1)\cos\ Q = \frac{PQ}{QR} = \frac{\sqrt{7}}{5}[/tex]

[tex]2)\ PQ = 2XY, PQR\ and\ XYZ\ - similar\ =>\ RQ = 2YZ\ and\ PR = 2XZ[/tex]

[tex]3)\ Sin\ Z = \frac{XY}{YZ} = \frac{\frac{PQ}{2}}{\frac{QR}{2}} = \frac{PQ}{QR} = \frac{\sqrt{7}}{5}[/tex]

[tex]Answer: \ \frac{\sqrt{7}}{5}[/tex]

Answer:

D

Step-by-step explanation:

The speed of the Bike is 5 meters per second

Speed is a scalar quantity that describes how fast an object is moving . It is defined as the distance an object travels divided by the time it takes to travel that distance. The units of speed are typically meters per second (m/s) or kilometers per hour (km/h).

To find out how fast you are traveling on your bike, you can use the formula:

Speed = [tex]\frac{Distance}{Time}[/tex]

In this case, the distance is 340 meters and the time is 68 seconds. So, you can plug these values into the formula and get:

Speed = 340 meters / 68 seconds

Speed =  [tex]\frac{340 meters}{68 seconds}[/tex]  =   5 meters per second

To know more about the Speed, check out:

https://brainly.com/question/13943409

#SPJ1

Answer:

Hope this is right :)

Step-by-step explanation:

Practice makes perfect because by reapeting something multiple times you will adventually get better

Answer:

20x + 28y

Step-by-step explanation:

Answer:

6(3x+4y) + 2(x + 2y)

18x+24y + 2(x + 2y)

20x + 28y

Answer:

50°  and  130°

Step-by-step explanation:

Linear pair of angles are supplementary, which means their sum is 180

x + 10 + 3x + 10 = 180

4x + 20 = 180

4x = 160

x = 40

x + 10 = 40 + 10 = 50°

3x + 10 = 3(40) + 10 = 120 + 10 = 130°

The domain of √ (square root) is all non-negative real numbers.

The domain of a function represents the set of all input values that can be used in the function without resulting in an undefined or meaningless output.

The square root function, represented by √, is only defined for non-negative real numbers. This is because the square root of any negative number is not a real number, it becomes an imaginary number.

This is because in order for the square root to be defined, the radicand (the value inside the square root symbol) must be greater than or equal to zero. Therefore, any real number greater than or equal to zero can be used as the input for the square root function, making its domain all non-negative real numbers.

Learn more about Real Number here:

https://brainly.com/question/27989846

#SPJ4

Answer:

x:16

this is related to the Pythagorean theorem

The exponential function y = a · 2ⁿ ⁻ ¹, where a is any real number, is generates the geometric series.

Geometric series are sets of elements generated by exponential functions of the form:

y = a · bⁿ ⁻ ¹, where a and b are real numbers and n is a natural number.

Where:

According to the statement, we derive the following expression between the two sums:

9 · a · (1 + b + b²) = a · (1 + b + b² + b³ + b⁴ + b⁵)

Now we proceed to simplify and find the value of b:

8 · a · (1 + b + b²) = a · (b³ + b⁴ + b⁵)

8 · (1 + b + b²) = b³ + b⁴ + b⁵

b⁵ + b⁴ + b³ - 8 · b² - 8 · b - 8 = 0

Then, the value of b by numerical methods is equal to 2.

The geometric series is generated by the exponential function y = a · 2ⁿ ⁻ ¹, where a is any real number.

To learn more on geometric series: https://brainly.com/question/21087466

#SPJ1

Answer:

i am not to sure but if i am corroct it IS polynomial

Step-by-step explanation:

hope this helps

Answer:

A) 7

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Q1 = 34

Q3 = 41

41- 34 = 7

Answer:

Well, if the inequality is g<6, the second graph would be correct. (6 with the open circle)

Step-by-step explanation:

A open circle indicates that the solution is greater than or less than. There is a simple way I like to do it, if the sign is going to the right, you would have to graph to the left. That is just a simple way you can do it. But, the answer is the second graph. (Top left corner)

Answer:

20 tables

Step-by-step explanation:

you can set up an equation where P/10=tables where P=number of people. so since you have 200 people coming, so you divide 200 by 10 and you will have 20 tables

if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls mark brainliest

The required function that gives [tex]f(g(x))[/tex] that represents the total amount of money Raul earned is

                [tex]f(g(x)) = 10x^{3}+16[/tex]

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Mostly functions are written as f(x) where x is the input of the function.

Given,

[tex]f(x) = 2x^{2}+16[/tex]

[tex]g(x)[/tex] = [tex]\sqrt{5x^{3} }[/tex]

If [tex]f(x)[/tex] represents amount of money Raul earns per ticket and [tex]g(x)[/tex] represents number of tickets Raul sells per hour, where x is the number of hours he works, then,

[tex]f(g(x))[/tex] represents the total amount of money Raul earned in a day.

To find [tex]f(g(x))[/tex], substitute value of [tex]g(x)[/tex] in the place of x in function [tex]f(x)[/tex] .

[tex]f(g(x))[/tex] = [tex]f[/tex]([tex]\sqrt{5x^{3} }[/tex])

          = 2(    [tex]\sqrt{5x^{3} }[/tex])² +16

          = 10x³ + 16

Therefore the required function is [tex]f(g(x)) = 10x^{3}+16[/tex].

To learn more about functions, follow the link.

https://brainly.com/question/25638609

#SPJ4

Answer:

279936

Step-by-step explanation:

i put it in the calculator. I honestly get how to do the exponents themselves but not dividing with them.