5. Which number is the square of 5√2-1? A. 23 - 5√2 B. 15√2-2 C. 51 - 10/2 D. 20√2-5 E. 100 + 4√2​

Answer:

C 0.63 > 0.48

Step-by-step explanation:

Not A, Because: 0.63 Is GREATER than 0.48 not less

Not B, Because: Like I said up top 0.63 is GREATER

Yes C, Because: 0.63 Is GREATER than 0.48

Not D, Because: 0.48 is LESS than 0.63

Answer:11x

Step-by-step explanation:

(−6x−2)+(6x2−5x−10)

first solve whats inside the brackets.

=-6x-2+(12-5x-10)

=-6x-2+(2-5x)

then open the brackets and solve the rest using order of operations.

=-6x-2+2-5x

=11x

It would take 33,792,000 dollar bills laid end to end to enclose a square mile.

To calculate this, we use the formula for the perimeter of a square: P = 4s, where P is the perimeter and s is the length of one side. Since the length of one side of a square mile is 5,280 feet, we can calculate the perimeter of a square mile in feet: P = 4(5280 ft) = 21,120 ft. Since one dollar bill is 6.14 inches long, we can convert this to feet by dividing by 12 (1 ft = 12 inches): 21,120 ft / 12 inches/ft = 1,760 ft. Finally, we can calculate the number of dollar bills needed by dividing the perimeter in feet by the length of the dollar bill in feet: 1,760 ft / 0.514 ft = 33,792,000 dollar bills.

It would take 33,792,000 dollar bills laid end to end to enclose a square mile.

Learn more about perimeter here:

https://brainly.com/question/6465134

#SPJ4

The conclusion abput the sum of the probabilities is that the sum for all outcomes in a sample space for the experiment is equal 1.

The sum of the probabilities for all outcomes in a sample space for an experiment must equal 1.

This is because the probability of an event is the number of favorable outcomes divided by the number of total outcomes in the sample space,

And since all outcomes are equally likely and mutually exclusive, the sum of their individual probabilities must equal 1.

Example:

Consider a fair die, the sample space S is the set of all possible outcomes {1, 2, 3, 4, 5, 6}.

Read more about probability at

https://brainly.com/question/251701

#SPJ1

The required match of the sentence to the correct vocabulary has been shown below.

In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.

Here,

1. If x is not a rational number, it must be a(n) irrational number.

2. 0.7 is a rational number.

3. x is a terminating decimal, so it must also be a rational number.

4. A decimal that ends in zero is a terminating decimal.

Learn more about rational numbers here:

https://brainly.com/question/17450097

#SPJ1

If a cube is rolled 24 times and lands on 2 four times and on 6 three times , then the experimental probability of not landing on a "6" is 0.171   .

on a cube there are total 6 outcomes ,

the probability of getting "2" on a single cube is = P(2) = 1/6  ;

the probability of getting "6" on a single cube is = P(6) = 1/6  ;

the probability of the cube not landing on 6 is = P'(6) = 5/6  ;

Since the cube is rolled 24 times , the experimental probability of not landing on "6" is

⇒ P(not 6) = ²⁴C₅×(1/6)⁵×(5/6)¹⁹ ;

On simplifying ,

we get ;

⇒ P(not 6) = 0.171  .

Therefore , the experimental probability of not landing on a 6 is 0.171  .

The given question is incomplete , the complete question is

A number cube is rolled 24 times and lands on 2 four times and on 6 three time. Find the experimental probability of not landing on a 6 .

Learn more about Probability here

https://brainly.com/question/28178864

#SPJ4

The solution is, the circumference of the circle with radius 14in. is  87.96 inch.

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

Perimeter refers to the total outside length of an object,

here, we have,

the radius = r = 14 inch.

we know,

circumference = 2*pi* r

so, calculating we get,

circumference = 87.96 inch.

Hence, The solution is, the circumference of the circle with radius 14in. is  87.96 inch.

Learn more about perimeter here:

brainly.com/question/397857

#SPJ1

a) The y - intercept of the graph is, 20.

b) The slope of the line is, - 4

c) The equation of line is, y = - 4x + 20

d) The cost of 3 comics = $8.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

The graph shows a linear relationship between x and y, where x represents the number of comic books, all at the same price, Priya buys at the store, and y represents the amount of money (in dollars) Priya has after buying the comic books.

Now, By the graph;

Let two points on the graph are (5, 0) and (0, 20).

Since, The equation of line passes through the points (5, 0) and (0, 20).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (20 - 0) / (0 - 5)

m = 20 / - 5

m = - 4

Thus, The equation of line with slope - 4 is,

⇒ y - 0 = - 4 (x - 5)

⇒ y = - 4x + 20

Thus, The y - intercept of the graph = 20

Now, When Priya buy 3 comics, then the cost of comics are,

⇒ y = - 4x + 20

⇒ y = - 4 × 3 + 20

⇒ y = -12 + 20

⇒ y = $8

Thus, We get;

a) The y - intercept of the graph is, 20.

b) The slope of the line is, - 4

c) The equation of line is, y = - 4x + 20

d) The cost of 3 comics = $8.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1

Answer:

24

Step-by-step explanation:

The value of the expression correct to 1 decimal place is P = 1.3.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

The given expression is, P = (t - w)/y.

Where, t = 9.7 correct to 1 decimal place, w = 5.9 correct to 1 decimal place

and y = 3 correct to 1 significant figure.

Therefore, P = (9.7 - 5.9)/3.

P = 3.8/3.

P = 1.26 or P = 1.3.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ1

The answer can be solved by using the kinematic equation, S= ut+at²/2. Here the time taken by the feather to fall from 75 feet will be 2.16 s.

Here a feather is dropped from a height of 75 ft. All other units are in SI system. So we have to convert the height to meters.

75 ft = 75/ 3.281 = 22.86 m.

We are neglecting the frictional force, or any other force acting on the feather. If the feather is under free fall, we can use the kinematic equation,

   S = ut + at²/2

S is the displacement, here the height = 22.86 m

u is the initial velocity, which is 0

t is the time

a is acceleration, here a= g, acceleration due to gravity = 9.8 m/s².

S = 0×t + 9.8t²/2

22.86 = 4.9t²

t² = 22.86/4.9

   = 4.665

t = √4.665 = 2.159 s = 2.16 s

So the time taken for the feather to reach water will be 2.16 s.

For more information regarding kinematic equations and calculations, kindly refer

https://brainly.com/question/28980475

#SPJ4

Therefore , the solution of the given problem of fraction comes out to be $25 she get paid per hour.

A whole can be represented by any class of similar sums or fractions. A fraction is used to express the amount of a particular size in standard English. 8, 3/4. Fractions are also wholes. In mathematics, numbers are represented by the fraction to numerator ratio. All of these fractions are simple integers. The fraction of a challenging fraction contains a fraction. due to the variations in actual fraction calculations, numerators, and numerators.

Here,

Given :

=> new job 2 weeks

=> amount = $875

35 hours work per week

So,

Per hour she get paid is :

=> 875/35

=> 25

Thus,

$25 she get paid.

Therefore , the solution of the given problem of fraction comes out to be $25 she get paid per hour.

To know more about fraction visit:

https://brainly.com/question/10354322

#SPJ1

The decimal with the bar is 4.1[tex]\over6[/tex].

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

25/6

= 4.16666666

6 is the repeating number so we put the bar on 6.

= 4.1[tex]\over6[/tex]

Thus,

The decimal is 4.1[tex]\over6[/tex].

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

A property which is represented by the equation above is

The Associative Property of Addition states that when three (3) numbers are added, the end result would always be the same regardless of the way the numbers are grouped.

Generally speaking, the Associative Property of Addition allows the addends to be re-grouped without causing a change in the result, output, or outcome.

By applying the Associative Property of Addition, we have the following;

1/3 + (2/3 + 1/7) = (1/3 + 2/3) + 1/7

8/7 = 8/7

Read more on associative property of addition here: brainly.com/question/7102355

#SPJ1

The pattern associated with the scatter plot is given as follows:

There is a positive nonlinear association.

The scatter plot shows a series of points in (input, output) format, in which the input is the time studying in minutes and the output is the grade.

As the increasing graph shows, the more a person studies, the better the grade, hence there is a positive relationship among the variables.

The increase is slow initially while it has a higher rate for a higher number of minutes, hence the association is also nonlinear.

More can be learned about scatter plots at https://brainly.com/question/6592115

#SPJ1

As a result, the area of the surface formed by rotating the given curve about the x-axis throughout the period [9, 20] is 864π.

The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.

Here,

The area of the surface generated when a curve is revolved about an axis is known as the surface area of revolution and can be calculated using the formula:

A = 2π ∫ y dx

where y is the equation of the curve being revolved and the integral is taken over the interval [a,b] in which the curve is being revolved.

In this case, the curve is given by y = 8√x on the interval [9, 20]. So, the surface area of revolution is:

A = 2π ∫_9^20 8√x dx

This integral can be evaluated using substitution. Let u = √x, so that du = dx / 2√x and x = u^2. Then:

A = 2π ∫_3^4 8u * 2u du

= 2π * 8 * ∫_3^4 u^2 du

= 2π * 8 * [u^3/3]_3^4

= 2π * 8 * (64/3 - 27/3)

= 2π * 8 * (37/3)

= 864π

So, the area of the surface generated when the given curve is revolved about the x-axis over the interval [9, 20] is 864π.

To know more about area,

https://brainly.com/question/22469440

#SPJ4

The required volume of the earth in cubic kilometers as per given hectares of land and its depth is equal to 0.0261 km³.

Hectare of land consumed by an open -pit coal mine = 87 hectares

Convert hectare into square meters

1 hectares = 10⁴ square meter

87 hectares = 87 × 10⁴ square meter

Depth = 30 m

Area of land = 87 × 10⁴ square meter

Volume of earth = area of land × depth

⇒ Volume of earth = 87 × 10⁴ m² × 30 m

⇒ Volume of earth = 261 × 10⁵ m³

1 kilometer = 10³meters

⇒1m³ = 10⁻⁹ km³

Volume of the earth = 261 × 10⁵ × 10⁻⁹ km³

⇒Volume of the earth = 261 × 10⁻⁴ km³

                                     = 0.0261 km³

Therefore, the volume of the earth as per given area of land and depth is equal to 0.0261 km³.

Learn more about volume here

brainly.com/question/1578538

#SPJ4

you should mix 4.5 quarts of 100% juice and 1.5 quarts of 20% juice. a=4.5, b= 1.5

The US liquid quart is equivalent to two liquid pints, or one-fourth US gallon (57.75 cubic inches, or 946.35 cubic centimetres), and the US dry quart is equivalent to two dry pints, or 1/32 bushels (67.2 cubic inches, or 1,101.22 cubic cm). 32 ounces, 2 pints, 4 cups, and 14 gallon are all equivalent to one US liquid quart. When converting any dry component, keep in mind that a dry quart is equivalent to 4.6546 cups. A quarter gallon is equal to one quart in English (symbol: qt). The liquid and dry quarts of the US customary system and the imperial quart of the British imperial system are the three types of quarts now in use. They all generally measure one litre.

Let you should mix a quarts of 100% juice and b quarts of 20% juice.

[tex]a+b=6[/tex]

100%a+20%b=6*8%

By solving the system of equation.

a=4.5

b= 1.5

So you should mix 4.5 quarts of 100% juice and 1.5 quarts of 20%.

Learn more about quarts here

https://brainly.com/question/18141073

#SPJ4

Answer:

Step-by-step explanation:

35% of 255 = 89.25

255-89.25 =165.75

Expression to represent total amount Elijah will have in both accounts after two weeks is 60w + 973

An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.

Given,

Elijah opened a checking account with $588 and deposits $25 into it every week.

Expression for the amount in w weeks = 25w + 588

He opened another checking account with $385 and deposits $35 into it every week.

Expression for the amount in w weeks = 35w + 385

Total amount in both bank accounts in w weeks

= 25w + 588 + 35w + 385

Adding like terms

= 60w + 973.

Hence, expression, 60w + 973 represents the amount Elijah will have in both accounts after w weeks.

Learn more about expression here:

brainly.com/question/13947055

#SPJ1

The probability of landing on yellow is less than the probability of landing on blue.

==========================================================

Explanation:

We have the following:

In short,

Normally the goal is to reduce the fractions, but in this case it's better to keep them as they are. This allows for easier comparisons of other fractions.

------------

Now to look through the answer choices to see which are true, and which are false.

Answer:

Hi

Kyle's velocity vectors have opposite directions.

Step-by-step explanation:

When Kyle is walking away from his house, his velocity vector is pointing in the positive direction, representing the movement of his position in a specific direction. But after ten minutes, when he turns around and walks home, his velocity vector changes direction to point in the opposite direction, now representing his movement towards his house. The difference between the two velocity vectors is that they are in opposite directions.

There are 64 ways to choose a single class representative.

To find the total number of ways to choose a single class representative, we add the number of students in each college: 18 students from the College of Liberal Arts and Social Sciences, 19 students from the College of Education, and 27 students from the College of Science and Health.

This gives us a total of 18 + 19 + 27 = 64 students. To choose a single class representative, we can choose any one of these 64 students, so there are 64 ways to choose a single class representative.

Learn more about discrete mathematics:

https://brainly.com/question/30408882

#SPJ4

Probability: P(education beyond high school but not a bachelor's degree) = (number of young adults with education beyond high school but not a bachelor's degree) / (total number of young adults).

The probability that a randomly chosen young adult has some education beyond high school but not a bachelor's degree would be:

P(education beyond high school but not a bachelor's degree) = (number of young adults with education beyond high school but not a bachelor's degree) / (total number of young adults)

where "number of young adults with education beyond high school but not a bachelor's degree" refers to the count of individuals in the population who meet this criteria, and "total number of young adults" refers to the count of all individuals in the population who are considered young adults.

The formula calculates the probability of a certain event by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the event is a randomly chosen young adult having some education beyond high school but not a bachelor's degree. The numerator, "number of young adults with education beyond high school but not a bachelor's degree," represents the favorable outcomes, while the denominator, "total number of young adults," represents all possible outcomes.

By dividing the favorable outcomes by the total number of possible outcomes, we get the probability of the event occurring, which is a value between 0 and 1. The closer the value is to 1, the higher the probability that the event will occur. The closer the value is to 0, the lower the probability that the event will occur. This formula allows us to quantify the likelihood of an event occurring in a population based on the available data.

Learn more about probability here:

https://brainly.com/question/14289833

#SPJ4

Answer:The linear function f with the given points is: f(x) = 3.

The linear function is a straight line that passes through two points (0, 3) and (-6, 3). This means that the equation of the line is given by y = mx + c, where m is the gradient of the line and c is the y-intercept. In this case, the 0,3 and -6,3 points have the same y-value, so the y-intercept is equal to 3.

To find the gradient of the line, we must use the formula m = (y2-y1)/(x2-x1). Therefore, the gradient of the line is m = (3-3)/(-6-0) = 0, meaning that the equation of the line is y = 3.

Step-by-step explanation:

The linear function f with the given points is: f(x) = 3.

The linear function is a straight line that passes through two points (0, 3) and (-6, 3). This means that the equation of the line is given by y = mx + c, where m is the gradient of the line and c is the y-intercept. In this case, the 0,3 and -6,3 points have the same y-value, so the y-intercept is equal to 3.

To find the gradient of the line, we must use the formula m = (y2-y1)/(x2-x1). Therefore, the gradient of the line is m = (3-3)/(-6-0) = 0, meaning that the equation of the line is y = 3.

Answer:

Step-by-step explanation:Find the GCD (or HCF) of numerator and denominator GCD of 2 and 3 is 1

Divide both the numerator and denominator by the GCD 2 ÷ 1 3 ÷ 1

Reduced fraction: 2 3 Therefore, 2/3 simplified to lowest terms is 2/3.

Without the actual values of b0 and b1, it is not possible to determine the predicted explanatory value. The correlation coefficient alone does not give enough information to make this prediction.

To find the predicted explanatory value that gives an average response value of 150, you would need to use the regression equation.

The regression equation takes the form:

y = b0 + b1x

where y is the response variable, x is the explanatory variable, b0 is the y-intercept, and b1 is the slope.

To find the x value that gives you a y value of 150, you would rearrange the equation as follows:

x = (y - b0)/b1

Plug in 150 for y and the y-intercept and slope values from your regression analysis to find the predicted explanatory value.

For more questions on regression equation

https://brainly.com/question/30401933

#SPJ4

[tex](343a)^{3}[/tex] - [tex](1000b)^{3}[/tex] can be factorised as (343a - 1000b)(343[tex]a^{2}[/tex] + 1000ab + 1000[tex]b^{2}[/tex]).

Expression is a mathematical combination of symbol such as number and operators which produce the mathematical result and expression.

(343a - 1000b)(343[tex]a^{2}[/tex] + 1000ab + 1000[tex]b^{2}[/tex])

This expression can be factorised as the product of two binomials. The first binomial is (343a - 1000b). This can be seen by subtracting 1000[tex]b^{3}[/tex] from 343[tex]a^{3}[/tex], leaving us with 343[tex]a^{3}[/tex] - 1000[tex]b^{3}[/tex], which can be written as (343a - 1000b).

The second binomial is (343[tex]a^{2}[/tex] + 1000ab + 1000[tex]b^{2}[/tex]). This can be seen by expanding the cube of (343a - 1000b), leaving us with (343[tex]a^{2}[/tex] - 1000[tex]b^{2}[/tex] + 2000ab). Rearranging this expression gives us (343[tex]a^{2}[/tex] + 1000ab + 1000[tex]b^{2}[/tex])

Therefore, 343[tex]a^{3}[/tex] - 1000[tex]b^{3}[/tex] can be factorised as (343a - 1000b)(343[tex]a^{2}[/tex] + 1000ab + 1000[tex]b^{2}[/tex]).

To know more about factorisation, visit

brainly.com/question/20293447

#SPJ1

Answer:

x=4

Step-by-step explanation:

pls tell me if wrong have a good day/night<3