Mathematics High School

if X is a positive real number and x^2=2 then x^3=

Answers

Answer 1

$x^{2} =2\\x=\sqrt{2} \\x^{3} =(2)^{\frac{1}{2}*3 } \\=2\sqrt{2}$

Answer 2

Answer:

Step-by-step explanation:

if X is a positive real number and x^2=2 then x^3=

x² = 2

x = ±√2

(±√2)³ = 2.828427

Related Questions

A regular polygon is shown. 12 sided regular polygon Determine the measure of one of its angles.

Answers

The measure of one of its angle is 150°

A Polygon is a two-dimensional closed figure made up of line segments (not curves). Polygon is a combination of two words, poly (which means many) and gon (which means shape) (means sides). To create a closed figure, at least three line segments must be connected end to end.

Given that

12 sided regular polygon

We can use the following formula to calculate the total number of degrees in any shape:

(n−2)⋅180

[Where n = number of sides]

(12−2)⋅180

(10)⋅180

=1800

So a 12-sided polygon has 1800 degrees. To calculate the measure of one angle, divide the total number of degrees (1800) by the number of sides, n.

(1800/12) = 150°

Therefore the measure of one of its angle is 150°

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A high school choir is holding a fundraiser for its spring contest trip. the amount each student needs to raise varies as the number of students who participate in the fundraiser. if 50 students participate in the fundraiser, each student needs to raise $275. use this information to complete the statements.

Answers

If 100 students participate in the fundraiser, each student needs to raise $137.50.If 25 students participate in the fundraiser, each student needs to raise amount $550.

Amount = (Total Amount Needed) ÷ (Number of Students)

For 60 students:

Amount = $275 ÷ 60 = $4.58

For 75 students:

Amount = $275 ÷ 75 = $3.67

For 40 students:

Amount = $275 ÷ 40 = $6.88

To solve this problem, we need to use a simple equation: Amount = (Total Amount Needed) ÷ (Number of Students). We can then plug in the given information to calculate the amount each student needs to raise. For example, if 50 students participate in the fundraiser, we can calculate that each student needs to raise $275 ÷ 50 = $5.50. We can then use this equation to calculate the amount that each student needs to raise if there are different numbers of students participating in the fundraiser. For example, if there are 100 students participating in the fundraiser, each student needs to raise $275 ÷ 100 = $2.75. Similarly, if there are 25 students participating in the fundraiser, each student needs to raise $275 ÷ 25 = $11.00.

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What is the probability that either event will occur?
15
A
17
B
2
P(A or B) = P(A) + P(B)
P(A or B) = [?]

Answers

The probability that either event will occur is 0.83

What is the probability that either event will occur?

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

Event A = 18

Event B = 12

Other Events = 6

Using the above as a guide, we have the following:

Total = A + B + C

So, we have

Total = 18 + 12 + 6

Evaluate

Total = 36

So, we have

P(A) = 18/36

P(B) = 12/36

For either events, we have

P(A or B) = 30/36 = 0.83

Hence, the probability that either event will occur is 0.83

Answers

Answer:

Step-by-step explanation:

15x+5y=8-3x

18x+5y=8⇒eqn 1

15x+5y=20y

15x-15y=0⇒eqn 2

eqn 1 * 3

54x + 15y=24⇒eqn 3

eqn 3 + eqn 2

69x=24

x=24/69=0.3478

eqn 1⇒

5y=8-18(24/69)

y=1.7391/5

y=0.3478

The solution to the system of equations is (10/3, -2).

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

The given equations are 15x + 5y = 20 and y = 8-3x.

15x + 15y = 20

Substitute y = 8-3x into the above equation:

15x + 15(8-3x) = 20

15x + 120 - 45x = 20

45x - 15x = 120 - 20

30x = 100

x = 10/3

Substitute x = 10/3 in y = 8 - 3x:

y = 8 - 3 (10/3)

y = 8 - 10

y = -2

Hence, the solution to the system of equations is (10/3, -2).

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The radius of circle O is 22, and OC = 15. The diagram is not drawn to scale. What is the length of segment AB? Round the answer to the nearest tenth.

16.1
32.2
26.7
53.3

Answers

The length of the segment AB according to the given equation as required to be determined is; 32.2.

What is the length measure of the segment AB?

As evident from the task content; the length measure of segment AB is required to be determined.

The assumption is such that point C is the midpoint of AB.

Therefore, on this note, the triangle OBC is a right triangle and the since radius OB = 22 and OC = 15;

CB² = 22² - 15²

CB² = 484 - 225

CB² = 259

CB = 16.1

Therefore, since C is the midpoint of AB; AB = 2 × 16.1 = 32.2.

Ultimately, the length of segment AB is; 32.2.

Answers

780 students are enrolled at the school. 20% of the total number of students is 156. 1% is equal to 7.8 students and 100% is equal to 780 students. We can check this by doing 20% of 780 which gives us 156.

Final answer:

The problem is about finding the total number of students in a school given a percentage of absences. By using the equation 'whole = part / percent' and substituting the given values, we find that the total number of students in the school is 780.

Explanation:

This problem can be classified as a percentage problem in Mathematics. In this scenario, we know that the 156 students represent 20% of the total students. So, in order to find the total number of students, we will use the equation part = percent * whole. In our case, the part is the 156 students, the percent is 20%, and the whole is what we're trying to find.

To solve for the whole, we rearrange the equation to whole = part / percent. Thus, to find the total number of students at the school, we divide 156 by 0.20 (since 20% equals 0.20 in decimal form). When you calculate this, you will get 780. So, the total number of students at the school is 780.

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I will give brainiest!!!! In the expansion of (2a + 3b)8, which of the following are possible variable terms? Explain your reasoning.

a2b3; a5b3; ab8; b8; a4b4; a8; ab7; a6b5

Answers

Answer:

ahh this looks so tuff!

Step-by-step explanation:

the answer is 7³

the winter months in ski resorts result in what type of variation in retail sales in that area?group of answer choicesseasonal variation.cyclical variation.irregular random variation.special event variation.

Answers

A. seasonal variation. The winter months in ski resorts often result in seasonal variation in retail sales in the area. This means that sales tend to fluctuate predictably and consistently during this time period.

The reason for this is that many people flock to ski resorts during the winter months to enjoy the snow and winter activities. As a result, there is an increase in demand for winter gear, such as snowboards, skis, and warm clothing. Retailers in ski resorts can expect to see a boost in sales during this time. However, there may be some irregular random variation depending on factors such as weather conditions and special events that can impact the number of visitors. Overall, winter in ski resorts is a crucial time for retailers as they can expect a significant increase in sales.

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PLEASE HELP I WILL GIVE YOU 5 STARS AND BRAINLIEST

Answers

Answer:

224 ÷ 4 = 56

Step-by-step explanation:

14 × 4 = 56

56 × 4 = 224

224 ÷ 4 = 56

this visual representation shows the sets of real numbers. classify the number −25. select all terms that are correct. natural whole integer rational irrational −25 natural – negative 25 whole – negative 25 integer – negative 25 rational – negative 25 irrational – negative 25

Answers

-25 is an integer and a rational number.

What is number system?A system of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set. It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.

Now,

Natural numbers are positive integers with a range of 1 to infinity; nevertheless, they do not include zero. -25 wouldn't be a natural number because it is a negative number.A group of numbers known as a whole number consists of all positive integers and 0. This wouldn't be a whole number because -25 isn't a positive number.Any real number that cannot be represented as the quotient of two integers is said to be irrational. Square roots of irrational numbers are also frequently seen. -25, however, is not a square root.Any number that can be expressed as a ratio, or a fraction, of two integers, is referred to be a rational number. Fractions, decimals, negative decimals, and other rational numbers are very prevalent. Since -25 can be represented as a ratio of two numbers. it is a rational number.A whole number that can be either positive, negative, or zero is known as an integer. As -25 is negative and a whole number( when positive), it is an integer.

Hence, -25 is an integer and a rational number.

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GOT A QUESTION
would you date a depressing girl if so let me know

Answers

Answer:

i wold but can we just be frends

Step-by-step explanation:

i have a discord if you wanna join it?

The area of Australia/Oceania is approximately 7.69 × 106 square kilometers. Its population is approximately 3.11 × 107 people. What is the approximate population density (people per square kilometer) of Australia/Oceania? Write your answer in standard form. If necessary, round your answer to the nearest hundredth.
PLEASSSSEEEE HELPPPPPPPPPPP

Answers

Answer: 3.11*10^7/7.69*10^6

3110/769

4.04

Step-by-step explanation:

(Picture for problem above.)

Find the value of y. Be sure to keep the exact value (use square root and don’t round your answer).

Answers

Answer:

y = 8·√3

Step-by-step explanation:

From the drawing of the right triangle, we have;

The length of the opposite leg to the given 60° (reference) angle = 12

The length of the adjacent leg to given 60° (reference) angle = x

The length of the hypotenuse side = y

By trigonometric ratios, we have;

$sin(Reference \, Angle) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}$

Therefore, we have;

$sin(60^\circ) = \dfrac{12}{y}$

From the value of sin(60°), we have;

$sin(60^\circ) = \dfrac{\sqrt{3} }{2}$

$\therefore y= \dfrac{12}{sin(60^\circ) } = \dfrac{12}{\dfrac{\sqrt{3} }{2} } = \dfrac{2 \times 12 \times \sqrt{3} }{{{3} } } = \dfrac{24 \times \sqrt{3} }{{{3} } } = 8 \cdot \sqrt{3}$

y = 8·√3

$\left(x= \dfrac{12}{tan(60^\circ) } = \dfrac{12}{{\sqrt{3} } } = 4\cdot \sqrt{3} \right)$

7)On subtracting 8 from x, the result is 2 . Form a linear
equation for the statement.

Answers

Answer:

8-x=2

-x=2-8

-x=-6

x=6

if 8 is subtract from 6answer is 2

7)On subtracting 8 from x, the result is 2 . Form a linearequation for the statement.

Your bill at a restaurant comes to $24.50. Your gratuity is 20%. What is the final bill?

Answers

The final bill will come to $29.40.

To get this answer, you must multiply 24.50 by 20% to get 4.90. Then, you add the two decimals to get the final bill price of $29.40.

Consider the rectangular prism.What is the surface area of the rectangular prism?

124 in
208 in
240 in
248 in

Answers

Answer: 240 in 2

Step-by-step explanation:

just did it

two groups of students were taught statistics using two different methods. the data indicate that group a achieved significantly higher scores than group b. the differences in the scores were not based on the teaching methods, but rather were caused by extraneous variables. drawing the incorrect conclusion that the teaching method caused the result in this case is an example of:

Answers

Drawing the incorrect conclusion that the teaching method caused the difference in scores, when in fact it was caused by extraneous variables, is an example of a Type I error, also known as a false positive. It occurs when a hypothesis is rejected even though it is true.

what is variables?

In mathematics, statistics, and programming, a variable is a named value that can take on different values or values of different types. In other words, a variable is a symbol or a container that holds a value or a reference to a value. Variables are used to store and manipulate data in computer programs, mathematical formulas, and statistical analyses. In programming, variables can be used to store and manipulate data such as numbers, strings of text, and arrays of values. In mathematics and statistics, variables can represent numerical quantities or categories that are being measured or observed.

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Jaxon needs to order some new supplies for the restaurant where he works. The restaurant needs at least 573 knives. There are currently 369 knives. If each set on sale contains 18 knives, which inequality can be used to determine ss, the minimum number of sets of knives Jaxon should buy

Answers

Answer:

18s+369>573

Step-by-step explanation:

If concrete was selling for $55.5 per cubic yard, how much did you spend to pave the sidewalk? (See 162 cubic feet.)

Answers

Given:

The volume of the sidewalk is 162 cubic feet.

In yards,

$\frac{162}{3\times3\times3}=6\text{ cubic yards}$

The selling price of concrete is $55.5 per cubic yard.

To find the amount that I spend to pave the sidewalk:

So,

$6\times55.5=\text{ \$}333$

Hence, the amount that I spend to pave the sidewalk is $333.

Yesterday, there were 50 problems assigned for math homework. Carter got 25 problems correct and 25 problems incorrect. What percentage did Carter get correct?

Answers

Answer:

He got 60% of the questions correct

Step-by-step explanation:

= 60%

(Hope this helps can I pls have brainlist (crown)☺️)

A ride to the airport costs $13.86 plus
a $3.00 tip. If Michael and Jeff share
the ride, then how much will each person
pay?

Answers

Answer:

$33.72

Step-by-step explanation:

$13.86 + $3.00 + $13.86 + $3.00

$33.72

true or false if a x b=0 the either a=0 or b=0 pls help!!

Answers

Answer:

yes that answer is true

What is an equation of the line that passes through the points (6,0) and (3, 4)?

Answers

The slope-intercept form of the equation of a straight line is given to be:

$y=mx+b$

where m is the slope and b is the intercept on the y-axis.

The slope is calculated using two points on the line by the formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Therefore, for this line, the slope will be:

$m=\frac{4-0}{3-6}=-\frac{4}{3}$

Therefore, this value for the slope is substituted back into the equation for the line:

$y=-\frac{4}{3}x+b$

At the point (6, 0), we can calculate the value of b to be:

$\begin{gathered} 0=-\frac{4}{3}(6)+b \\ b=\frac{4}{3}(6) \\ b=8 \end{gathered}$

Therefore, the equation is:

$y=-\frac{4}{3}x+8$

T=21and u =4 what is \sqrt(t+U)

Answers

Answer: 5

Step-by-step explanation: 21 + 4 = 25

square root of 25 = 5

Answer and Step-by-step explanation:

T = 21

U = 4

$\sqrt{ 21 + 4} \\\\\\\sqrt{25} \\\\\\5$

5 is the answer to the expression.

#teamtrees #PAW (Plant And Water)

The following dotplot shows the centuries during which the 111111 castles whose ruins remain in Somerset, England were constructed. Each dot represents a different castle. According to the 1.5.IQR rule for outliers, how many high outliers are there in the data set?

Answers

The conclusion which we get after analyzing the data given is that there aren't outliers in the displayed data set.

We will calculate the interquartile range and us the rule 1.5 .

The formula to calculate interquartile range is to subtract the value of first quartile by the value of second quartile.

IQR = Q3 - Q1

Therefore, interquartile range becomes,

IQR = 17 - 13

IQR = 4

Now , we will apply rule 1.5 and for that we will multiply 4 by 1.5 first

4 * 1.5 = 6

and then,

17 + 6 = 23

on applying the rue we will get ,

13 - 6 = 7 .

This value means that there is no outlier in the displayed data set.

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The band leader is recording the number of students in the seventh and eighth grades who play flute and clarinet. Which describes the variables in the two-way table? Band Assignments Flute Clarinet Total 7th Grade 19 24 43 8th Grade 22 18 40 Total type of instrument and total number of seventh and eighth graders type of instrument and total number of seventh graders grade number and number of clarinet players grade number and type of instrument

Answers

Answer:

D: grade number and type of instrument

Step-by-step explanation:

Answer:

D. Got it right on edgenuity test

Step-by-step explanation:

Have a good day!!

A box contains 20 yellow, 22 green and 23 red jelly beans. If 14 jelly beans are selected at random, what is the probability that: a) 7 are yellow? b) 7 are yellow and 6 are green? c) At least one is yellow

Answers

Part (a)P(7 are yellow) = The required probability is 0.0716 [rounded to 4 decimal places]Part (b)P(7 are yellow and 6 are green) = The required probability is 0.00008896 [rounded to 4 decimal places]Part (c)Let us calculate the probability that none of the jelly beans is yellow.

P(None of the jelly beans is yellow) = So, the probability that at least one jelly bean is yellow is1 - P(None of the jelly beans is yellow) = We are given that a box contains 20 yellow, 22 green, and 23 red jelly beans. We need to find the probability that a) 7 are yellow b) 7 are yellow and 6 are green c) At least one is yellow a) 7 jelly beans are yellow. The total number of jelly beans in the box = 20 + 22 + 23 = 65

Since 14 jelly beans are selected, there are a total of 6514 = 2.087 billion different ways to select 14 jelly beans without any restriction. Since we want 7 of the 14 jelly beans to be yellow, we need to select 7 yellow jelly beans and 7 jelly beans from the remaining (22 + 23) jelly beans that are not yellow. There are 207 different ways of doing this. Hence, the probability that exactly 7 jelly beans are yellow is given by P(7 are yellow) = 207 / 2.087 billion P(7 are yellow) = 0.00009917 [rounded to 4 decimal places]b) 7 jelly beans are yellow and 6 jelly beans are green. Using the same logic as above, there are 207 different ways of selecting exactly 7 yellow jelly beans and 6 green jelly beans from the remaining jelly beans. Therefore, the probability that 7 are yellow and 6 are green is P(7 are yellow and 6 are green) = 207 / 2.087 billion P(7 are yellow and 6 are green) = 0.00000009917 [rounded to 4 decimal places]c) To calculate the probability that none of the jelly beans is yellow, we need to select all 14 jelly beans from the remaining (22 + 23) = 45 jelly beans that are not yellow. There are 4523,783,274,697,296 different ways of doing this. Therefore, the probability that none of the jelly beans is yellow is P(None of the jelly beans is yellow) = 45C14 / 65C14P(None of the jelly beans is yellow) = 0.00000269 [rounded to 8 decimal places]Therefore, the probability that at least one jelly bean is yellow is1 - P(None of the jelly beans is yellow) = 1 - 0.00000269 = 0.99999731 [rounded to 8 decimal places]Hence, the probability that at least one jelly bean is yellow is 0.99999731.

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Craig has 72 feet of material to build a fence around a rectangular flower bed on his property. if the width of the fence must be 3 feet, what is the length of the fence in yards if he uses all 72 feet of material? 11 yards 33 yards 66 yards 22 yards

Answers

The length of the fence in feet if he uses all 72 feet of material is 33 feet.

Perimeter of a rectangle

Width of the fence = 3 feetPerimeter = 72 feetLength = x

Perimeter = 2(length + width)

72 = 2(x + 3)

72 = 2x + 6

72 - 6 = 2x

68 = 2x

x = 68/2

x = 33 feet

Therefore, the length of the fence in feet if he uses all 72 feet of material is 33 feet.

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find the indicated length.
Point R bisects segment ST. Find RT if ST = 16.9 meters.
RT=

Answers

The value of the indicated length RT is 8.45 meters

How to find the indicated length?

The given parameters are

Point R bisects segment ST. ST = 16.9 meters.

The above means that

RT = 1/2 * ST

So, we have

RT = 1/2 * 16.9

Evaluate the products

RT = 8.45

Hence, the value of the indicated length RT is 8.45 meters

Answers

Answer:

3/7

Step-by-step explanation:

The total is 7 blocks. There are three stars. Probability is PART/WHOLE.

3/7

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if X is a positive real number and x^2=2 then x^3=​

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if X is a positive real number and x^2=2 then x^3=