The different between\(\sqrt{7}\) and \(\sqrt{2}\) is a/an rational __________.

The Different Between[tex]\sqrt{7}[/tex] And [tex]\sqrt{2}[/tex] Is A/an Rational __________.

Answers

Answer 1

Answer:

irrational

Explanation:

What a rational is:

a number that can be given as the ratio of two integers

We know that √2 cannot be given as a ratio of two integers.

(√7 also cannot be given as a ratio of two integers)

[What an irrational number is:

a number that cannot be given as the ratio of two integers]

This makes √2 and √7 irrational numbers.

When subtracting √2 from anything, (other than √2) you end up with an irrational number. [or √7]

0 - √2 = irrational

10204 - √2 = irrational

4 - √2 = irrational

So, when subtracting √2 from √7, (finding the difference between the two), we are left with an irrational number.


Related Questions

Jada wanted to construct a line perpendicular to line L through point C. The diagram shows her construction. What was her mistake?

Answers

Answer:

Perpendicular lines are 90 degrees on their central angle.

Step-by-step explanation:

1. Draw the line L with a meter-rule and a pencil.

2. extend the hand of the protractor beyond the radius of the line and bisect the line L, by placing the protractor pin on both ends of the line and marking up and down.

3. Join the points where the markings meet drawing a line through C which is the center of the line L.

Estimate by rounding the divisor to the nearest tens place and the dividend to the nearest
compatible number. Then find the quotient.
Enter the remainder, if any, as a fraction in simplest form.
59 ) 5,613
The estimate is?
The quotient is?

Answers

Answer:

lil mosey

Step-by-step explanation:

Someone simplify this for me please

Someone simplify this for me please

Answers

Answer:

9(-a-1-c^2/9)

Step-by-step explanation:

Answer:

a = -c^2/9 -1

Lucy has $7 less than Kristine and $5 more than Nina together,the three have $35 how much does Lucy have?

Answers

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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HALPPPPPPP!!!!!!!!!!!! PLSSSS

HALPPPPPPP!!!!!!!!!!!! PLSSSS

Answers

Answer:

The equation is y = x(x-12)

Vertex form

is y = a(x-6)^2 + 4

where a is -1/9

Step-by-step explanation:

For the general equation, we have the roots at x = 0 or x = 12

so we have x and x -12

So we have the equation as;

y = (x-0)(x-12)

y = x(x-12)

y = x^2 - 12x

The vertex form equation of a quadratic equation is;

y = a(x-h)^2 + k

where (h,k) represents the vertex which we have above as (6,4)

So while substituting 6 for h, we have 4 for k

So we have it that;

y = a(x-6)^2 + 4

Substituting 0 for x and 0 for y, we have it that;

0= a(0-6)^2 + 4

0 = 36a + 4

-4 = 36a

a = -4/36

a = -1/9

use the pythagorean Theorem to find the missing length of the hypotenuse
C=

use the pythagorean Theorem to find the missing length of the hypotenuseC=

Answers

Answer:

300

Step-by-step explanation:

do 15 times 20 and that should make 300.

hope this helps

Which equation reveals the minimum or maximum value of f (x) without changing the form of the equation?
)A) ƒ (x) = (x+3)(x − 4)
(B) ƒ (x) = x² - 8x +15
(C)ƒ (x) = (x + 2)² − 1
(D) f(x) =x^2 +2x -1

Answers

The function has a minimum if the x2 coefficient is positive. If it is negative, the function has reached its limit. If you have the function 2x2+3x-5, for example, the function has a minimum because the x2 coefficient, 2, is positive. Divide the x term coefficient by twice the x2 term coefficient.

What exactly is an equation?A formal statement of the equality or equivalence of two mathematical or logical expressions. : a quantitative expression representing a chemical reaction using chemical symbols.A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. After solving this equation, we obtain the value of the variable x as x = 7.An equation is made up of expressions that have the same value. A formula is a two- or more-variable equation that represents a relationship between the variables.

Hence, The function has a minimum if the x2 coefficient is positive. If it is negative, the function has reached its limit. If you have the function 2x2+3x-5, for example, the function has a minimum because the x2 coefficient, 2, is positive. Divide the x term coefficient by twice the x2 term coefficient.

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Compute f′(a) algebraically for the given value of a. f(x)=−7x+5;a=−6

Answers

The f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

To compute f′(a) algebraically for the given value of a, we use the following differentiation rule which is known as the Power Rule.

This states that:If f(x) = xn, where n is any real number, then f′(x) = nxⁿ⁻¹This is valid for any value of x.

Therefore, we can differentiate f(x) = −7x + 5 with respect to x using the power rule as follows:

f(x) = −7x + 5

⇒ f′(x) = d/dx (−7x + 5)

⇒ f′(x) = d/dx (−7x) + d/dx(5)

⇒ f′(x) = −7(d/dx(x)) + 0

f′(x) = −7⋅1 = −7

Hence, the derivative of f(x) with respect to x is -7.Now, we evaluate f′(a) when a = −6 as follows:f′(x) = −7 evaluated at x = −6⇒ f′(−6) = −7

Therefore, f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

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A 3-column table with 3 rows. Column 1 is labeled Vehicle with entries Sedan, Minivan, Truck. Column 2 is labeled Miles Traveled with entries 630, 798, 864. Column 3 is labeled Gasoline Used (gallon) with entries 35, 42, 54.
Find the unit rate of miles per gallon for these vehicles

Sedan:
Minivan:
Truck

Answers

Answer:

Sedan =18

minivan=19

truck=16

Step-by-step explanation:

The Hernandez family is on a road trip. They have been driving for 312 hours. They have listened to 4 CDs of equal length.

Part A

How long was each CD?

Part B

If the family has 1 hour of their drive left, how many CDs will they be able to listen to in the final hour?

Answers

The Hernandez family can listen each for 78 hours.

Given that, the Hernandez family is on a road trip. They have been driving for 312 hours. They have listened to 4 CDs of equal length.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Part A

Let the length (number of hours) of each CD be x.

Now, x = 312/4

= 78 hours

Part B

If the family has 1 hour of their drive left, still they can listen 4 CDs.

Therefore, the Hernandez family can listen each for 78 hours.

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If the point (3,4) is 6 units above the point P(x,y) and 11 units to the right of it, then what are the coordinates of the point P(x,y)?

Answers

Answer:

x = 3+11

y = 4 - 6

P(x,y) = P(15,-2)

Answer:

Step-by-step explanation:

x - Coordinate  = 11 units to the right of 3 =  3 + 11 = 14

y -Coordinate  = 6 units above 4 = 4 + 6 = 10

P(14 , 10)

Suppose y varies inversely with x, and y = 49 when x = 17
. What is the value of x when y = 7 ?

Answers

Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

k is the constant of proportionality.

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

what's the free-haul volume from sta. 20 to sta. 50 in cubic yard?

Answers

The free-haul volume from Station 20 to Station 50 in cubic yards cannot be determined without additional information.

To calculate the free-haul volume, one needs to know the distance between Station 20 and Station 50, as well as the cross-sectional area of the material being hauled. Without this information, it is impossible to determine the volume of material that can be transported without incurring additional hauling costs.

In general, free-haul volume refers to the amount of material that can be transported without incurring additional costs beyond the initial cost of mobilizing the hauling equipment.

This is typically determined by the distance between the excavation site and the location where the material will be used, as well as the properties of the material being transported. Knowing the free-haul volume is important in order to optimize the hauling process and minimize costs. However, without additional information, it is not possible to determine the free-haul volume from Station 20 to Station 50 in cubic yards.

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Damian is building a display case to hold

75 model cars. The case will have fewer

than 10 shelves, and each shelf will hold

no more than 15 cars. If Damian wants

each shelf to have the same number of

cars, how many shelves should he put in

the display case?

Answers

The answer is 5 Shelfs each with 15 cars.

The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 3.

The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x =

Answers

7/3 is the average rate of change.

Average rate of change of a function f(x) between any x values a and b = slope of the secant line connecting f(a) and f(b). This means (f(b)-f(a))/ (b-a). If a=0 and b=3, the average rate of change equals (f(3)-f(0))/(3-0).
f(3)=8+1=9, and f(0)= 1+1=2. So the average rate of change is (9-2)/3= 7/3.

A company packages pencil lead for mechanical pencils.

The pencil lead is packaged in lengths of 0.025 m. How

many of these shorter pieces can be cut from a strip of

pencil lead that is 2.4 m long?

Answers

Answer: 96

Step-by-step explanation:

From the question, we are informed that a pencil lead is packaged in lengths of 0.025 m. To get the number of the shorter pieces can be cut from a strip of pencil lead that is 2.4 m long, we have to divide 2.4 by 0.025. This will be:

= 2.4 / 0.025

= 96

Therefore, 96 shorter pencils can be gotten

Answer:

96

Step-by-step explanation:

(0v0) '

PLEASEEEEEEE HELP SOMEONE WHO DOESNT NO MATH

PLEASEEEEEEE HELP SOMEONE WHO DOESNT NO MATH

Answers

No this is not a function because 4 is used twice on the y side

Answer:

yes, this is a function because each x value is paired with with exactly one y value (the first one in the multiple choice)

Step-by-step explanation:

For something to be a function an input can have only one output. Multiple different inputs can have the same output, but not the other way around.

Candice leaves on a trip driving at 25 miles per hour.four hours later,her sister liz starts from the same location driving at 50 miles per hour.how long after liz leaves home will she catch up to candie

Answers

Answer:

Step-by-step explanation:

Candice = 25mph for 4 hours.

Candice has driven= 25 * 4= 100miles.

Liz =50mph

Liz time to catch up to candice= 50 * 2= 100miles.

Therefore, It would have taken Liz two hours to catch up with Candice

11(7+9) using distributive property

Answers

Answer:

176

Step-by-step explanation:

Apply PEMDAS

Solve the parenthesis first

11 ( 7 + 9 )

11 ( 16 )

Now open the parenthesis and you will have your answer

11 times 16

176

In Exercises 21-24, find the unit vector ū in the direction of V. 24. v= 2, -2,2) A weight of p lb is suspended from a chain of length while a constant force of pushes the weight to the right, making an angle of with the vertical, as shown in the figure below plb w In Exercises 33–36, a force F, and length are given Find the angle and the height the weight is lifted as it moves to the right 33. Fw=11b, {= 1ft, f = 1ft, p=1lb

Answers

The unit vector ū in the direction of V is (1/√3, -1/√3, 1/√3). To find the unit vector ū in the direction of vector V = (2, -2, 2), we need to normalize the vector by dividing each component by its magnitude.

Magnitude of V = √(2^2 + (-2)^2 + 2^2) = √(4 + 4 + 4) = √12 = 2√3. Normalized vector ū = V / ||V|| = (2/2√3, -2/2√3, 2/2√3) = (√3/√3, -√3/√3, √3/√3) = (1/√3, -1/√3, 1/√3). Therefore, the unit vector ū in the direction of V is (1/√3, -1/√3, 1/√3).

Regarding the second part of your question, it seems to involve a different context related to forces and lengths, with values given for F, ℓ, and f. However, it's not clear what specific calculations are required or how they relate to the given values.

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a plane can fly 7 miles per minute. the plane will fly 8 trips, and each trip is 810 miles. how many hours will the plane fly? show your work

Answers

Answer: 12 hours and 24 Minutes

Step-by-step explanation:

7*60 = 420

810/420 = 1.9285

93- 100 = 53-60

subtract 40 from 93.

1.53*8 = 12.24

Answer: 12 hours and 24 Minutes

Solve this system of equations by
using the elimination method.
x - 5y = 16
4x - 2y = -8
( , )

Answers

Answer:

\(x = - 4\)

\(y = - 4\)

Step-by-step explanation:

Looking at these equations, we can see neither x or y have the same coefficient. Therefore, we need to multiply or divide, to make either the x or the y the same. It's less of a hassle to make the Xs the same, so let's do that. Taking the top equation and multiplying it by 4, we get:

\(4x - 20y = 64\)

Now let's subtract the top equation from the bottom equation, leaving us with a third equation:

\( - 18y = 72\)

Divide 72 by -18 to get

\(y = - 4\)

Now let's substitute into our first equation to find X:

\(x + 20 = 16\)

Leaving us with:

\(x = - 4\)

Now let's substitute into the second equation to check our solution is correct:

\( - 16 + 8 = - 8\)

This is correct, so the answer is X and Y are both equal to -4

The product of two find the other numbers is number. 2.0016. If one of them is 0.72​

Answers

The two numbers are 0.72 and 2.780 when the product is 2.0016.

Let x be the other number that when multiplied with 0.72 gives us the product of 2.0016. We can set up the following equation:

0.72 * x = 2.0016

To solve for x, we can divide both sides of the equation by 0.72:

x = 2.0016 / 0.72

x ≈ 2.780

Therefore, the two numbers are 0.72 and 2.780.

We can check our answer by multiplying these two numbers together:

0.72 * 2.780 ≈ 2.0016

Our answer checks out, and we can confirm that the product of 0.72 and 2.780 is indeed 2.0016.

In summary, given the product of two numbers, we can find the other number when one of them is known by setting up an equation and solving for the unknown number. In this case, we found that the two numbers are 0.72 and 2.780.

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Under what condition is it NOT possible for an integer a to be divided ​by an integer b ?

Answers

Answer:

An integer, a, cannot be divided by an integer, b, when \(b=0\)

Step-by-step explanation:

There is only one limitation when dividing two numbers. This is that you cannot divide a number by 0 as it is impossible to divide something into 0 groups.

As the integer, b, is the number that symbolized the number of groups something is divided into, this value cannot be 0.

i need help thank you

i need help thank you

Answers

the first answer would be 10
the second answer would be 2.50
i wouldn’t be able to know the third one without knowing the options

what is the probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin?0.14260.13570.24610.0321

Answers

The probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin is 0.2461.

Option C is correct

The probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin is given by the binomial probability formula:

P(X = k) = (n choose k) \(* p^k * (1-p)^(n-k)\)

where X is the random variable representing the number of heads, n is the total number of coin flips, k is the number of heads obtained, and p is the probability of getting a head on any individual flip.

Since we are assuming that the coin is fair, p = 0.5. Let's say you flipped the coin n times and obtained k heads. Then the probability of obtaining exactly k heads with a fair coin is:

P(X = k) = (n choose k \(* 0.5^k * ()1-0.5)^(n-k)\)

We don't know what n or k are, so we can't compute the exact probability. However, we can use the fact that the coin is fair to get an estimate. If we assume that the number of heads obtained is roughly half of the total number of flips, then k = n/2. Plugging this into the formula, we get:

\(P(X = n/2) = (n choose n/2) * 0.5^(n/2) * (1-0.5)^(n/2)\)

Simplifying this expression, we get:

\(P(X = n/2) = (n choose n/2) * 0.5^n\)

Now, we want to find the probability of obtaining exactly as many heads as we just obtained. Let's say we flipped the coin 10 times and obtained 5 heads. Then we want to find P(X = 5), which is:

P(X = 5) = (10 choose 5) \(* 0.5^5 * (1-0.5)^(10-5)\) = 0.2461

Therefore, the probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin is 0.2461.

Option C is correct

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a+ −5 =−9 I really need help with this any pointers?

Answers

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

\(\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)

a+(-5)=-9

What is a equal to?

\(\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)

First, a+(-5)=-9 can be written as follows:-

⇒a-5=-9

Now, add 5 to both sides:-

⇒a=-9+5

And finally,

⇒a=-4

Good luck.

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

Answer:

a = -4

Step-by-step explanation:

We have to,

Find the required value of a,

→ a + (-5) = -9

→ a - 5 = -9

→ a = -9 + 5

→ [ a = -4 ]

Hence, the value of a is -4.

Need Answer ASAP Number Of Cakes Sugar Flour Vanilla LOOK AT THE PIC

Need Answer ASAP Number Of Cakes Sugar Flour Vanilla LOOK AT THE PIC

Answers

I'm pretty sure this is the right answer..

Need Answer ASAP Number Of Cakes Sugar Flour Vanilla LOOK AT THE PIC

Which of the following is true of a quasi-experiment?

Group of answer choices

We can balance participant variables between groups in a quasi-experiment.

In a quasi-experiment, the researcher assigns participants to conditions based on the particpant’s preexisting level of the independent variable.

In a quasi-experiment, the researcher randomly assigns participants to groups.

A quasi-experiment allows us to infer causality more accurately.

Answers

The  true statement about the quasi-experiment is , the researcher assigns participants to conditions based on the participant's preexisting level of the independent variable.

In a quasi-experiment, the researcher assigns participants to conditions based on the participant's preexisting level of the independent variable. However, unlike a true experiment, a quasi-experiment cannot control for all possible confounding variables and may not allow for the balancing of participant variables between groups. Therefore, while a quasi-experiment can provide some evidence of causality, it may not be as accurate as a true experiment in this regard.

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In a quasi-experiment, the researcher assigns participants to conditions based on the participant’s preexisting level of the independent variable.

A quasi-experiment is a research design that lacks the control of random assignment to groups. Instead, the researcher assigns participants to conditions based on pre-existing levels of the independent variable. This means that the groups may not be equivalent at the outset, and there is a greater risk of confounding variables affecting the results.

Therefore, we cannot balance participant variables between groups in a quasi-experiment, nor can we randomly assign participants to groups. While quasi-experiments can provide valuable information, they do not allow us to infer causality more accurately than other research designs.

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There were 5 Easter eggs hidden at a party. Kenny found 4 of them. What percent of the eggs did Kenny find ?

Answers

Answer:

Kenny found 80% of the eggs.

Step-by-step explanation:

(4 ÷ 5) × 100 = x

0.8 × 100 = x

80% = x

Kenny found 80% of the eggs.

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A. 32 33B. 32 33C. 32 33D. 32 33 What critereia does your compass need to meet for it to work as a magnetometer? members of an enterprise conspiracy must be aware of each other's criminal activities, in order to be in violation of the law.T/F What are the functions of veins ? Can someone please help me.A. Common phrase you choseB. What Shakespeare play is it from?C. Act #, scene #, line #:D.Whats going in the scene? How is the phrase used in the scene? Give some context.E. Write a short scene in modern dialogue in which this common phrase would be used. The following shows a history of users with attributes "CS Major" (i.e., majored in computer science), "Age", and "Income". We also indicate whether they will buy Bitcoin or not in the last column.No. CS Major Age Income BuyBitcoin1 yes old fair yes2 yes middle fair yes3 no young fair yes4 no young high yes5 yes old low no6 yes young low no7 no young fair no8 no middle low noWe want to train a C4.5 decision tree classifier to predict whether a new user will buy Bitcoin or not. We define the value of attribute "BuyBitcoin" to be the label of a record.a. Please construct a C4.5 decision tree according to the above example. In the decision tree, whenever (1) a node contains at least 80% records with the same label, or (2) a node contains at most 2 records, we stop further processing this node for splitting. Note that you should show the calculation of every attributes impurity gain at each step of the tree construction.b. Consider a new young user studying CS whose income is fair. Please predict whether this new user will buy Bitcoin or not using the decision tree you trained. a cartel's profit-maximizing quantity occurs where the cartel's question 4 options: a) marginal cost equals its average cost. b) cost is lowest. c) price is highest. d) marginal cost equals marginal revenue. e) demand curve has a kink. A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 20 ft/s. Its height in foet after t seconds is given by y = 20 - 271. A Find the average velocity (include units help units) for the time period beginning when t = 3 and lasting .01. 0055 002 : .001 NOTE: For the above answers, you may have to enter 6 or 7 significant digits if you are using a calculator B. Estimate the instantaneous velocity when t = 3 (include units help units). Answer: