what is the area of a square with the length of 20 and the width of 15​

The correlation coefficient may assume any value between -1 and 1. Correct answer: letter D.

This means that the coefficient may be negative, zero, or positive, with a value of -1 indicating a perfect negative correlation, 0 indicating no correlation, and 1 indicating a perfect positive correlation.

The correlation coefficient is a numerical measure of the degree of linear dependence between two variables. It is a statistic that measures the strength of the relationship between two variables. A correlation coefficient of 1 indicates a perfect positive correlation, a coefficient of -1 indicates a perfect negative correlation, and a coefficient of 0 indicates no correlation between the two variables.

Learn more about The correlation coefficient:

https://brainly.com/question/12663699

#SPJ4

The moment of inertia for rotation about the z axis is  [tex]I & =\frac{a^2 M}{3}[/tex].

A triangular prism of mass m, whose two ends are equilateral triangles.

Two ends are equal.

The xy plane with side 2a, is centered on the origin with its axis along the z axis.

Find the moment of inertia for rotation the z-axis.

It is divide into 4 triangles with side 'a' k one side is 3cm.

[tex]$$\begin{aligned}& I_{\text {BiG }}=16 I_{\text {small }} . \\& I_{\text {BIG }}=4 I_{\text {small }}+P_{A T}\end{aligned}$$[/tex]

It is fact that the big triangle is made up from four small triangles. connected with parallel axis theorem.

Now, we have to find the distance from the center of mas of small outer triangles to the origin. so, that it is PAT.

[tex]$$\therefore z=2 \sqrt{x^2-\frac{a}{2} ^2}$$[/tex]

[tex]$$\begin{aligned}& =2 \sqrt{\left(\frac{a}{\sqrt{3}}\right)^2-\frac{a^2}{4}} \\& =2 \sqrt{\frac{a^2}{3}-\frac{a^2}{4}} \\I_{\text {Big }} & =\frac{\sqrt{3}}{3} a \cdot \\& \left.=4 I_{\text {small }}+3 m \frac{\sqrt{3}}{3} a\right)^2 \\I_{\text {Big }} & =4 I_{\text {small }}+\frac{3 m}{4} \frac{1}{3} a^2 \\& =\frac{a^2}{4}\end{aligned}$$[/tex]

⇒ Now, by using the [tex]$I_{\text {Big }}=I$[/tex]

⇒[tex]I & =4\left(\frac{\sqrt{2}}{16}\right)+\frac{a^2 M}{4} \\[/tex]

⇒[tex]4 I & =I+a^2 m[/tex]

⇒[tex]4 I-I & =a^2 m \\[/tex]

⇒[tex]3 I & =a^2 M . \\[/tex]

⇒[tex]I \quad & =\frac{a^2 M}{3}[/tex]

Therefore, the moment of inertia is [tex]I & =\frac{a^2 M}{3}[/tex].

For more such questions on distance between points

https://brainly.com/question/15958176

#SPJ4

The answer indicates that the lines at x = 9 & x = -5 both vertical and have no slope. They can't be parallel as a result.

Parallel in mathematics refers to two bars that never cross one another; picture an equal sign. Comparatively, the word "parallel" denotes similarity or simultaneous occurrence. Three close friends' similar lives might be shown in a tale.

Equal slope lines are parallel. The lines x = 9 & x = -5, on the other hand, are vertical and have no slope. They can't be parallel as a result. In actuality, vertical lines are never parallel to one another; rather, they always form a 90-degree angle (perpendicular).

To know more about Parallel visit :

https://brainly.com/question/29087224

#SPJ1

Considering the given data, we can calculate our answers of standard deviation as:

a) The range of times that covers the middle 68% of this distribution is 6.44 <= x <= 7.92

b) 97.9% of these men run a mile in more than 8.57 minutes.

(a) Using the 68-95-99.7 rule, we know that 68% of the data falls within 1 standard deviation of the mean. Hence, the middle 68% of times falls between the mean minus 1 standard deviation and the mean plus 1 standard deviation:

7.18 - 0.74 <= x <= 7.18 + 0.74

=> 6.44 <= x <= 7.92

(b) To find the percent of men who run a mile in more than 8.57 minutes, we need to find the area under the curve to the right of 8.57 minutes. This can be found by subtracting the area under the curve to the left of 8.57 from 100%. Using the standard normal distribution tables or a calculator, the standard score (z-score) for 8.57 can be found:

z = (8.57 - 7.18) / 0.74 = 2.10

Using standard normal distribution tables or a calculator, the area under the curve to the right of 2.10 can be found to be approximately 2.1%, so

100% - 2.1% = 97.9%

of these men run a mile in less than 8.57 minutes.

Learn more about Density Curve here:

https://brainly.com/question/29563858

#SPJ4

If an algebraic expression (x²)³ × x⁴ / x² [tex]x^{(2^3)}[/tex], then the simplified expression is [tex]x^{(2^3)}[/tex] using the exponent laws.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Consider the expression, as follows:

(x²)³ × x⁴ / x²

Use the exponent law "[tex]a^m \times a^n = a^(m+n)[/tex]" to simplify the first term:

(x²)³ × x⁴ = x⁽²ˣ⁶ ⁺⁴⁾ = x¹⁰

Use the exponent law "[tex]a^m / a^n = a^{(m-n)}[/tex]" to simplify the second term:

x¹⁰ / x² = x⁽¹⁰⁻²⁾ = x⁸

Use the exponent law "[tex](a^m)^n = a^(mn)[/tex]" to simplify the first term:

[tex]x^8 = x^{(24)} = x^{(2^3)}[/tex]

Simplified expression: [tex]x^{(2^3)[/tex]

Note: The laws used in this example are:

[tex]a^m \times a^n = a^(m+n)\\a^m / a^n = a^{(m-n)}\\(a^m)^n = a^{(m\timesn)}[/tex]

Learn more about Expressions here :

brainly.com/question/21751419

#SPJ1

1) Where ΔTRA ≅ ΔVAR the conjecture is that [tex]\overline{VA}[/tex] ≅ [tex]\overline{TA}[/tex] and that [tex]\overline{TR}[/tex] =[tex]\overline{AV}[/tex]

2) Where ΔABC ≅ DEC the conjecture is that ΔACE ≅ Δ BCD

3) Where Δ REH ≅ ΔAEC and ΔREH and ΔAEC are isosceles triangles, the conjecture is that [tex]\overline{RE}[/tex] ≅ [tex]\overline{EH}[/tex] and [tex]\overline{AE}[/tex] ≅ [tex]\overline{EC}[/tex]

In mathematics, a conjecture is a speculative conclusion or assertion that is stated without evidence.

Some conjectures, such as the Riemann hypothesis (which is still a conjecture) or Fermat's Last Theorem (which was a conjecture until it was proved in 1995 by Andrew Wiles), have affected much of mathematical history as new fields of mathematics have been formed to prove them.

Learn more about Isosceles Triangles:
https://brainly.com/question/2456591
#SPJ1

Explanation: The 4 is in the tenths spot. The next digit over is 7, which fits the "5 or more" category. We'll bump the 52.4 up to 52.5 and ignore every other digit.

Answer:

52.5

Step-by-step explanation:

Tenths are the first decimal place to the right of the decimal.

Rounding to the nearest tenth means you have to look at the hundredth place, which is seven.

The rule is if your place value is five or more, you race the value up.

So rounding four up will be five

Lastly, get rid of any other place values on the right of your place

Therefore, your new number is 52.5

[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{\frac{2}{3}}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-5}-\stackrel{y1}{1}}}{\underset{\textit{\large run}} {\underset{x_2}{\frac{2}{3}}-\underset{x_1}{5}}} \implies \cfrac{-6}{~~ -\frac{13 }{3 } ~~}\implies \cfrac{\frac{6}{1}}{~~ \frac{13}{3 } ~~}\implies \cfrac{6}{1}\cdot \cfrac{3}{13}\implies \cfrac{18}{13}[/tex]

Answer:

ABDE

Step-by-step explanation:

plug in the values into the inequality

A. All workers from this company are the population (e)

B. 30 workers from this company is the sample (d)

C. Time to complete a certain task for a worker from this company is an individual (b)

D. Mean time to complete a certain task for 30 workers from this company is a statistic (a)

E. Mean time to complete a certain task for all workers from this company is a parameter (f)

The company wants to estimate the mean time it will take workers to complete a certain task, so they recall the times to complete the task for a random sample of 30 workers.

This sample represents a portion of the larger population of all workers from the company. The mean time to complete the task for this sample of 30 workers is a statistic, while the mean time to complete the task for the entire population of all workers is a parameter. The individual time to complete the task for each worker is a variable.

For more questions like Random samples click the link below:

https://brainly.com/question/29852583

#SPJ4

The only table that shows a proportional relationship is; Table C

Proportional relationships are defined as relationships between two variables where their ratios are equivalent to each other.

Option A: The ratios of each value of x and its' corresponding y-value are;

1.5/1, 3/2, 6/3, 9/6

This does not show a proportional relationship because they are not all equal.

Option B:  The ratios of each value of x and its' corresponding y-value are;

1.5/3, 2.5/5, 3/7, 4.5/8

This does not show a proportional relationship because they are not all equal.

Option C:  The ratios of each value of x and its' corresponding y-value are;

50/1, 150/3, 200/4, 250/5

This shows a proportional relationship because they are all equal.

Option D:  The ratios of each value of x and its' corresponding y-value are;

6/2, 12/4, 18/5, 21/6

This does not show a proportional relationship because they are not all equal.

Read more about Proportional Relationships at; https://brainly.com/question/12242745

#SPJ1

Answer:

yes

Step-by-step explanation:

that is 3×3×3×3×3×3....×3 21 times and the other is 50 times,so u have to multiply 3²¹ with more 3s so u ger 3⁵⁰

Basically, there are two different types of geometric shapes such as: Two – Dimensional Shapes.

Define area of geometrical shape?

To learn more about area refers to:

https://brainly.com/question/2607596

#SPJ1

Basically, there are two different types of geometric shapes such as: Two – Dimensional Shapes. Total area under graph = 15 + 12.56 + 3 + 20 = 50.56 sq. units

The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.

The area of shape is the space enclosed within the perimeter or the boundary of a given shape. We can calculate the area of shape for different geometrical shapes using specific mathematical formulae.

The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.

Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width. The formula is: A = L * W where A is the area, L is the length, W is the width, and * means multiply.

The area under the graph will be -

area of rectangle = length × breadth

= 5 × 3 = 15 sq. unit

area of circle = πr²

= 3.14 × 2 × 2

= 12.56 sq units

area of triangle = 1/2 × base × height

= 1/2 × 3 ×2

= 3 sq. units

area of trapezium = a + b / 2 . h

= 5 + 3 / 2 . 5

= 20 sq. units

area of triangle = 1/2 × 2 × 5 = 5 sq. units

Total area under graph = 15 + 12.56 + 3 + 20 = 50.56 sq. units

To learn more about area refers to:

brainly.com/question/2607596

#SPJ1

The proof of cot (3.14/2 -x) = tan x is given below.

Equations using trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities.

Given:

We have a trigonometric identity,

Cot (3.14/2 -x).

Simplifying,

Cot (π/2 - x),

= Cos(π/2 - x) / Sin (π/2 - x)

= (Cos π/2 Cos x + Sinπ/2 Sin x) / (Sinπ/2 Cos x - Cosπ/2Sin x)

= Sin x / Cos x

= Tan x

Hence proved.

To learn more about trigonometric identities;

https://brainly.com/question/24377281

#SPJ1

[tex]e^y-e^{-y}=x\implies e^y-\cfrac{1}{e^y}=x\implies \cfrac{(e^y)^2-1}{e^y}=x \\\\\\ e^{2y}-1=xe^y \implies e^{2y}-xe^y=1[/tex]

now, we're going to do some "completing the square" on the left-side, that is, we'll make it a perfect square trinomial by using our very good friend Mr Zero, 0.

[tex]2\cdot n\cdot e^y=xe^y\implies n=\cfrac{xe^y}{2e^y}\implies n=\cfrac{x}{2} \\\\[-0.35em] ~\dotfill[/tex]

[tex]e^{2y}-xe^y=1\implies e^{2y}-xe^y + n^2 - n^2=1\implies e^{2y}-xe^y+n^2=1+n^2 \\\\\\ (e^y)^2-xe^y+\left( \cfrac{x}{2} \right)^2=1+\cfrac{x^2}{4}\implies \left( e^y -\cfrac{x}{2} \right)^2=1+\cfrac{x^2}{4} \\\\\\ e^y -\cfrac{x}{2}=\sqrt{1+\cfrac{x^2}{4}}\implies e^y =\sqrt{1+\cfrac{x^2}{4}}+\cfrac{x}{2} \\\\\\ \ln(e^y)= \ln\left(\cfrac{x}{2}+ \sqrt{1+\cfrac{x^2}{4}} \right)\implies {\Large \begin{array}{llll} y=\ln\left(\cfrac{x}{2}+ \sqrt{1+\cfrac{x^2}{4}} \right) \end{array}}[/tex]

-1.25  is the average rate of change from based on the graph.

Average Rate — a single rate applying to property at more than one location that is a weighted average of the individual rates applicable to each location. To find the average rate of change, divide the change in y-values by the change in x-values. Finding the average rate of change is particularly useful for determining changes in measurable values like average speed or average velocity.

here, we have,

from the given graph we get,

f(x)= 8.5 at x= 1

f(x) = 3.5 at x= 5

we know that,

so, average rate =  [f(b) - f(a)] / (b - a)

i.e.  average rate = 3.5 - 8.5 / 5-1

                            = -5/4

                             = -1.25

Hence, -1.25  is the average rate of change from based on the graph.

To learn more on average rate click:

brainly.com/question/29286039

#SPJ1

As of December 21, the account's opening balance will be $ 4,000.66.

An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.

Given that, on December 18 of a leap year. Stacy opened a savings account by depositing $6000.

The account pays 1.45% interest, compounded daily.

To find the missing amounts in the table and determine what is her opening balance on December 21, the following calculations must be performed:

The interest rate must be divided by the number of days in the year.

0.0145 / 366 = 0.00003961748

December 18:

Opening balance = 0

Deposit = 6,000

Withdrawal = 0

Principal used to compute interest = 6,000

Day's interest rounded to the nearest cent = 0.24 ((6,000 x 0.00003961748) - 6,000)

Ending balance = $6000.24

On December 19 she deposited $500, and on December 20 she withdrew $2500.

December 19:

Opening balance = 6000.24

Deposit = 500

Withdrawal = 0

Principal used to compute interest = 6,500.24

Day's interest rounded to the nearest cent = 0.26 ((6,500.24 x 0.00003961748) - 6,500.24)

Ending balance = 6500.50

December 20:

Opening balance = 6500.50

Deposit = 0

Withdrawal = 2500

Principal used to compute interest = 4,000.50

Day's interest rounded to the nearest cent = 0.16 ((4,000.50 x 0.00003961748) - 4,000.50)

Ending balance = 4000.66

Therefore, as of December 21, the account's opening balance will be $ 4,000.66.

To learn more about the rate of interest visit:

brainly.com/question/28236069.

#SPJ1

The number of apples for the lot will be 21.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Tia owns a fruit shop and is selling a fresh lot of apples and oranges. She wants the ratio of apples to oranges sold to be 3 to 2. Tia wants to sell a total of 35 apples and oranges.

a /o = 3 / 2

a + o = 35

( 3 / 2)o + o = 35

5o = 70

o = 14

a + o = 35

a + 14 = 35

a = 21

Hence, the number of apples for the lot will be 21.

To know more about an expression follow

https://brainly.com/question/10148149

#SPJ1

Answer: 19.3

Step-by-step explanation: To solve this we can find numbers whose squares are close to 372. We know 20x20 = 400 and 19x19 = 361 so it has to be between these two.372 is closer to 361 meaning the square root of it is less than 19.5. Now we can just test numbers. 19.4x19.4 = 376ish and 19.3x19.3 is 372.49. This number is close enough so 19.3 is our answer.

From the vector s₁ in the set as a linear combination of the vectors S2 and S3. S1 = 4S2 + S3 and (5, 4) can be expressed as a nontrivial linear combination of the vectors S2 and S3. Hence, the set is linearly dependent.

S1 = aS2 + bS3, where a and b are scalars.

        (5, 4) = a(-1, 1) + b(4, 0)

        5 = -a + 4b

        4 = a

        a = 4, b = 1

So, S1 = 4S2 + S3 and (5, 4) can be expressed as a nontrivial linear combination of the vectors S2 and S3. Hence, the set is linearly dependent.

Learn more about LD of Vectors S here:

https://brainly.com/question/13039289

#SPJ4

Standard notation: 329.01

In standard notation, the digits are read from left to right, and each digit represents a different place value. The first digit, 3, represents the hundreds place, the second digit, 2, represents the tens place, the third digit, 9, represents the ones place, the fourth digit, 0, represents the tenths place and the fifth digit, 1, represents the hundredths place.

3100 + 210 + 91 + 00.1 + 1*0.01 = 329 + 20 + 9 + 0 + 0.01 = 329.01

Scientific notation: 3.2901 x 10^2

In scientific notation, the number is written as a decimal number multiplied by a power of 10. The decimal number, 3.2901, represents the coefficient and the power of 10, 10^2, represents the exponent.

3.2901 x 10^2 = 3.2901 x 100 = 329.01

Expanded notation: 3100 + 210 + 91 + 00.1 + 10.01

In expanded notation, the number is written as the sum of each digit multiplied by its corresponding place value.

3100 + 210 + 91 + 00.1 + 10.01 = 329 + 20 + 9 + 0 + 0.01 = 329.01

Fractional notation: 32901/10000

In fractional notation, the number is written as a ratio of two integers. The numerator represents the value of the number, and the denominator represents the place value of the last digit.

32901/10000 = 329.01

Decimal notation: 32901 in base 10

In decimal notation, the number is written as a whole number in base 10. The number can be represented as a combination of digits ranging from 0 to 9.

32901 = 329.01

All the 5 different ways of representation are mathematically equivalent and represent the same number 329.01, they are all different ways of expressing the same value and they all show the understanding of the place value system.

Answer:

For all graphs: Rate of change = 1/2

Step-by-step explanation:

To find the average rate of change for each function on the interval [1,5], all we have to do is find the slope between the points on the function with an x-value of 1 and 5. To find slope, we can use rise/run or (change in x)/(change in y)

Graph 1.)

Rise/Run  

-2/4 = -1/2

Graph 2.)

Rise/Run  

-2/4 = -1/2

Graph 3.)

Rise/Run  

-2/4 = -1/2

Graph 4.)

Rise/Run  

-2/4 = -1/2

If this answer helped you, please leave a thanks or a Brainliest!!!

Have a GREAT day!!!

The price of each of these be

A. Price  [tex]}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\[/tex]

B. Price =[tex]\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\[/tex]

C. Price [tex]=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200[/tex]

The complete question is.

A shop gives 20% discount. What would the price of each of these be?

A dress market at Rs.120

A pair of shoes market at Rs.750

A bag market at Rs.250

To learn more about discount refer to:

https://brainly.com/question/1548141

#SPJ1

Radius of Circle B = 6 cm + 3 cm = 9 cm

Radius of Circle C = 9 cm + 3 cm = 12 cm

Radius of Circle D = 12 cm - 2 cm = 10 cm

What is a circle's straightforward definition?

Simply put, a circle is a rounded shape without any edges or line segments. It has the geometric shape of a closed curve. The distance between the circle's points and its center is fixed.

The area of a circle is given by the formula: A = πr^2, where A is the area and r is the radius.

The area of Circle A is A = π(6 cm)^2 = 36π cm^2

The area of Circle B is A = π(9 cm)^2 = 81π cm^2

The area of Circle C is A = π(12 cm)^2 = 144π cm^2

The area of Circle D is A = π(10 cm)^2 = 100π cm^2

To find how many times greater than the area of Circle A is the area of Circle D, we can divide the area of Circle D by the area of Circle A:

100π cm^2 / 36π cm^2 = 2.78

The area of Circle D is 2.78 times greater than the area of Circle A.

Note: since π is a constant, we can ignore it for the purposes of comparing the areas of the circles. It will always be the same value and it will cancel out when dividing.

Learn more about circle

https://brainly.com/question/24375372

#SPJ1

a) At the beginning we have;  6 pCi/L

b) It would taken 2 days to have 4 pCi/L

We have to note that the radioactivity would have to do with the spontaneous disintegration of the material. In this case, we can see that we have the function that models the situation as;

R(t) = 6e^-0.18t Where t is the time that is taken

At first we have that the time is zero hence the R(t) is;

R(t) = 6e^-(0.18 * 0)

R(t) = 6 pCi/L

For us to have 4 pCi/L;

4= 6e^-0.18t

4/6 = e^-0.18t

0.67 = e^-0.18t

ln(0.67) = lne^-0.18t

t = ln(0.67)/-0.18

t = 2 days

Learn more about radioactivity:https://brainly.com/question/1770619

#SPJ1

a) For the ratio 8 : 5 : 7, if Maurice has 960 stickers then Elle collects 600 stickers and Justin collects 840 stickers.

b) For the ratio 8 : 5 : 7, if the total number of stickers is 1500 then Maurice collects 600 stickers, Elle collects 375 stickers and Justin collects 525 stickers.

What is ratio?

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.

a) The ratio of stickers Maurice collects = 8

The number of stickers Maurice collects = 960

The ratio of stickers Elle collects = 5

The ratio of stickers Justin collects = 7

Let the number of stickers be x.

So, the equation for Maurice's collection will be -

8x = 960

x = 960/8

x = 120

So, Elle collects 5x stickers which is -

5 × 120 = 600 (substitute the value of x)

Justin collects 7x stickers which is -

7 × 120 = 840 (substitute the value of x)

Therefore, Elle and Justin have 600 and 840 stickers.

b) The total number of stickers is = 1500.

The ratio of stickers Maurice collects = 8x

The ratio of stickers Elle collects = 5x

The ratio of stickers Justin collects = 7x

The equation formed is -

8x + 5x + 7x = 1500

20x = 1500

x = 1500 / 20

x = 75

Substitute the value of x to find number of stickers.

So, Maurice collects = 8 × 75 = 600 stickers

So, Elle collects = 5 × 75 = 375 stickers

So, Justin collects = 7 × 75 = 525 stickers

Therefore, the number of stickers  Maurice, Elle and Justin have is 600, 375 and 525 respectively.

To learn more about ratio from the given link

https://brainly.com/question/30182280

#SPJ1

Answer:

4/3 miles

Step-by-step explanation:

First, let's turn the statement given to us into an equation:

1/4 of the distance between Cameron's house and the park is 1/3 miles

1/4 * x = 1/3 mile

Now, we need to solve for x.

[tex]\frac{1}{4}x=\frac{1}{3}[/tex]   [Multiply by 4 to get x by itself]

x = 4/3.

So, if x is the distance between Cameron's house and the park and x=4/3, Cameron's house must be 4/3 of a mile away from the park.

If this answer helped you, please leave a thanks or a Brainliest!!!

Have a GREAT day!!!

The equivalent expression to (3/2)^3 is 3³/2³. Option B

The index form of a number is simply described as a number that is written as an exponential expression.

It is also described as a single number that is raised to another number.

Index forms explains the number of times the exponent contains another.

From the information given, we have that;

(3/2)³

expand the bracket, we get;

(3 ×3 × 3/ 2× 2 × 2)

Multiply the values

27/8

This is also written as;

3³/2³

Hence, the value is 3³/2³

Learn about index forms on:

https://brainly.com/question/15361818

#SPJ1

Therefore the equation is x = 3.9275 or x = -5.8275.

An equation is a mathematical statement that express the equality of two expression using of the equal sign or used to define relationship between differentiation variable and can be used to solve for the unknown's value when you from when you problem define equation you also use to describe the behavior of the physical system in the represent law of nature.

The given equation is an example of a quadratic equation, which has a form of ax^2 + bx + c = 0. In order to solve for x, we must use the Quadratic Formula, which states that x = [-b ± √(b^2 - 4ac)] / 2a.

In the equation given, a = 1, b = -7, and c = -12. Plugging these values into the Quadratic Formula, we get:

x = [7 ± √(7^2 - 4(1)(-12)] / 2(1)

x = [7 ± √(49 + 48)] / 2

x = [7 ± √97] / 2

x = (7 ± 9.855) / 2

Therefore, x = 3.9275 or x = -5.8275.

To know more about equation click-
https://brainly.com/question/26408808
#SPJ1

The statement that is not​ true is option B. A compound linear inequality involving the word​ "and" must always have a solution. In other​ words, the solution is never the empty set.

Option B is not true because a compound linear inequality involving the word "and" does not necessarily have a solution. The solution to a compound linear inequality involving the word "and" is the intersection of the solutions to each inequality.

This means that the solution is the set of values that satisfies both inequalities at the same time. However, if the solution to each inequality does not have any common values, then the solution to the compound inequality will be the empty set, which means there are no values that satisfy both inequalities.

Learn more about linear inequality from

https://brainly.com/question/11897796

#SPJ1