Is 2 times the square root of 3 rational?

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

2 x √3 = 3.46410161514 , which is a rational number, because it is a real nomber


Related Questions

what is 6.5 as a fraction

Answers

Answer:

13/2 is 6.5 as a fraction


Two factory plants are making TV panels. Yesterday, Plant A produced 6000 panels. Seven percent of the panels from Plant A and 2 % of the panels from Plant B were defective. How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was 4 % ?

Answers

Answer:

1% of 4000 + 4% of B = 2% of (4000 + B)

40 + 0.04*B = 0.02( 4000 + B)

40 + 0.04* B = 80 + 0.02*B

40 + 0.04*B - 80 - 0.02B = 0

0.02*B - 40 = 0

0.02*B = 40

2B = 4000

B = 2000

Step-by-step explanation:

Plant B produced 1000 panels.

The total number of defective panels from Plant A is 7% of 6000,

= (7/100) x 6000

= 420 panels.

and, total number of defective panels from Plant B is 2% of x,

= (2/100) x

= (1/50) x.

The overall number of defective panels from both plants is 4% of the total number of panels

= (4/100)(6000 + x)

= (1/25) (6000 + x).

Now, set up the equation:

420 + (1/50)  x = (1/25) (6000 + x)

To solve for x, we can multiply both sides of the equation by 50 * 25 to eliminate the fractions:

50 . 25 . 420 + 50 x = 25 (6000 + x)

125000 + 50x = 150000 + 25x

50x - 25x = 150000 - 125000

25x = 25000

x = 25000 / 25

x = 1000

Therefore, Plant B produced 1000 panels.

Learn more about Equation here:

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Which logarithmic equation is equivalent to the exponential below? e^a= 35

Answers

Answer:

[tex]log_{e}[/tex] 35 = a

Step-by-step explanation:

using the law of logarithms

• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

[tex]e^{a}[/tex] = 35 ⇒ [tex]log_{e}[/tex] 35 = a


F(x)=5x-3 what does f(5)=

Answers

f(5) means that x=5

Now, we solve 5x-3 because we know what x is.

5(5)-3

25-3

22

F(5)=22


Answer:

F (5)= 22

Step-by-step explanation:

please help me Find the legth of x

Answers

Answer: 6

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

Explanation:

The triangles are similar triangles (we can use the AA similarity theorem to prove this). So the vertical sides pair up, and the horizontal sides pair up, to form the proportion below

x/4.5 = 8/6

Note the order of the terms. I'm dividing the upper triangle's sides by the corresponding lower triangle's sides. Cross multiply and solve for x

x/4.5 = 8/6

6x = 4.5*8

6x = 36

x = 36/6

x = 6

use the law of sines to find the length of side c

Answers

Look at the picture.

The law os sine:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

We have

[tex]m\angle A=46.7^o\\\\m\angle C=48^o\\\\a=44\\\\c=?[/tex]

Substitute:

[tex]\dfrac{c}{\sin48^o}=\dfrac{44}{\sin46.7^o}\\\\\boxed{c=44.93}\to\boxed{A.}[/tex]

Answer:

A!

Step-by-step explanation:

What is the total surface area

Answers

We have two right triangles and three different rectangles.

The formula of an area of a right triangle:

[tex]A_T=\dfrac{1}{2}l_1l_2[/tex]

l₁, l₂ - legs

We have l₁ = 20cm and l₂ = 21cm. Substitute:

[tex]A_T=\dfrac{1}{2}(20)(21)=(10)(21)=210\ cm^2[/tex]

The formula of an area of a rectangle:

[tex]A_R=lw[/tex]

l - length

w - width

We have:

rectangle #1: l = 22cm, w = 29cm

[tex]A_{R1}=(22)(29)=638\ cm^2[/tex]

rectangle #2: l = 22cm, w = 21cm

[tex]A_{R2}=(22)(21)=462\ cm^2[/tex]

rectangle #3: l = 22cm, w = 20cm

[tex]A_{R3}=(22)(20)=440\ cm^2[/tex]

The total Surface Area of the triangular prism:

[tex]S.A.=2A_T+A_{R1}+A_{R2}+A_{R3}\\\\S.A.=2\cdot210+638+462+440=1960\ cm^2[/tex]

Identify all the lines on the graph with unit rates that are less than 2 and greater than the unit rate of the relationship in the table.

Answers

recall that the slope, namely the average unit rate of change, is rise/run.

so, what's the slope for the function in the table?  well, we can simply pick any two points and get it, or just use the first point rise of 8 and a run of 7, gives us a slope of 8/7 or 1⅐.

now, let's take a peek at the lines, they all have a "rise" of 6, notice they're all lying on the y = 6 line horizontally.

1)

rise = 6, run = 2, slope 6/2 = 3.

well, 3 is more than 2, so no that one.

2)

rise = 6, run = 3, slope = 6/3 = 2.

well 2 = 2, so no that one either.

3)

rise = 6, run = 4, slope 6/4 = 3/2.

3/2 is actually larger than 8/7 and less than 2, you can check. so ✔

4)

rise = 6, run = 5, slope = 6/5.

6/5 or 1⅕ is more than 8/7, and is clearly less than 2, so ✔

5)

rise = 6, run = 6, slope = 6/6 = 1.

well, needless to say 1 is less than 2 but is less than 8/7, recall 8/7 is actually 1⅐.

Answer:

View the picture for your answer!

Have a wonderful day:))

The length of a rectangle is three centimeters more than twice the width. The perimeter is 78 centimeters. Define a variable and write and solve an equation to find out how long and wide the rectangle is?

I need to find the length? how?

Answers

L = 2w + 3
The perimeter equation is:
2L + 2W = 78
Put what L equals in to find w:
2(2w + 3) + 2w = 78
6w + 6 = 78 ( I did a short cut)
6w = 72
6w/6 = 72/6
W = 12
At this point, put width back into the first equation to find the length
L = 2(12) + 3
L = 27

Find the constant of variation for the relationship described in the table.


x f(x)
–2 –60
1 30
4 120
5 150




90

30

f(x)

x

Answers

Answer : x = (1/30)×f(x)

Answer:

i believe the answer is 30


Step-by-step explanation:


47 POINTS!

PLEASE HELP! (SHOW YOUR WORK)

Answers

Answer:

2.  No it is not direction variation

3. This is direct variation with the constant being 2

Step-by-step explanation:

The equation for direct variation is y=kx

2.  8y = 3x+1

Divide each side by 8

8y/8 = 3x/8 + 1/8

y = 3/8 x + 1/8

We are adding 1/8 to each time so it is not direct variation

3.  12y = 24x

Divide each side by 12

12y/12 = 24x/12

y = 2x

This matches y= kx, where k=2

This is direct variation with the constant being 2

Which expression is equivalent to -9( -2x - 3)

Answers

Answer:

-18x+ 27

Step-by-step explanation:


Help!





If I were to Buy a bright bomer from the item shop and buy the glider. The Bright bomer is Rare and so is the glider. How much?

Answers

Answer: 2000 v-bucks


Step-by-step explanation: The bright bomber costs 1,200 and the glider costs 800


What algebraic expression is 5+3(2x-7)=5+6x-21

Answers

i am hundred percent sure yur answer is 10

Travis is sewing a pillow for his Home Arts class. The pillow will be made from 2 identical rectangles. Each rectangle is 1 1/2 feet wide and 1 3/4 feet long. How many square feet of material is used in the sewing of the pillow?
A.2 3/8 sq. feet
B.2 5/8 sq. feet
C.5 1/4 sq. feet
D.6 1/2 sp. feet

Answers

Answer:

The answer is A.

Step-by-step explanation:


How many 1/2’a are in 7

Answers

Answer:

There are 14 halves in seven.

Step-by-step explanation:

7(1/2)=14

7(2)=14

OR, you could just count by halves until you reach 7, but that takes a while. (;

Answer: 4 1/2
I think this is right

HELP RIGHT AWAY PLEASE!!!!
The graph shows two lines, A and B:


A graph is shown with x and y axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 0 and the ordered pair 0, 4. Another straight line labeled B joins the ordered pair 0, 1 and the ordered pair 5, 6.


Based on the graph, which statement is correct about the solution to the system of equations for lines A and B?


(1, 2) is the solution to line A but not to line B.

(1, 2) is the solution to both lines A and B.

(0, 1) is the solution to both lines A and B.

(0, 1) is the solution to line A but not to line B.

Answers

Answer:

(1,2) is the solution to both lines a and b

Step-by-step explanation:

You find the slope using 2 point and do y2-y1/x2-x1 . To create the equations for the two lines you do y=mx+b where m=slope and b=y-intercept.

The Carson’s are on a road trip they paid $62.70 for 16 1/2 gallons of gasoline
Part 1-Find the price of gasoline per gallon show your work
Part 2-Give an example of a cost and amount that would make the gasoline have a rate of $3.49 per gallon

Answers

Answer:

$3.92  per gallon

10 gallons of gas at $3.49 a gallon will cost $34.90

Step-by-step explanation:

To find the price per gallon, we take the total cost, and divide by the number of gallons.  I will change 16 1/2 to a decimal for ease of math calculations.  

16 1/2 = 16.5

cost/gallons

$62.70/16.5

3.91875

Since we are working with money, we round to the nearest cent

$3.92  per gallon


To find the  total cost, we multiply the cost per gallon times the number of gallons.  We have a cost per gallon of $3.49.  If we multiply by 10 gallons

cost = $3.49 * 10

        $34.90

10 gallons of gas at $3.49 a gallon will cost $34.90

If the Greatest Common Factor of L and M is 6, write the expression for the Least Common Multiple of these numbers.

Answers

Answer:  

[tex]\frac{(L x M)}{6}[/tex]

Step-by-step explanation:  

The greatest common factor is the greatest number that will divide two values. We have two values L and M. Each has numbers which multiply together to give the number. The highest value or most in common they share is 6. This is the GCF.

The least common multiple is the smallest positive number which is a multiple of the two. This means both L and M divide into it evenly.

We know L x M is a multiple because L and M will be factors of it. But we don't know its the least.

As an example if L= 42 and M = 60, they have GCF 6. We can multiply them to find a multiple 42 x 60 = 2520 but we don't know this is the smallest or least multiple we can find. If we divide by the GCF, 2520/6=420. Interestingly, 42 x 10 =420 and 60 x 7 =420. This means 420 is the least common multiple.  

We can multiply (L x M) and then divide by the GCF of L & M to find the least common multiple.

[tex]\frac{(L x M)}{6}[/tex]


The cost of a candy bar in a vending machine is $0.95. The cost of a bottle of water in the same machine is $1.25. Jamie has $25.00 to spend on candy bars and bottles of water for her friends. She must buy nine candy bars. If b represents the number of bottles of water, which inequality represents all the possible values of b?

Answers

Final answer:

The inequality representing all possible values of b, the number of bottles of water Jamie can buy, is b ≤ 13, as Jamie has $16.45 left to spend after buying nine candy bars and each bottle costs $1.25.

Explanation:

The student must buy nine candy bars, which cost $0.95 each. The total cost for the candy bars is 9 * $0.95 = $8.55. Jamie has $25.00 to spend, so after buying the candy bars, she will have $25.00 - $8.55 = $16.45 left for bottles of water. Each bottle of water costs $1.25, so the number of bottles she can buy is represented by the inequality $1.25b ≤ $16.45, where b is the number of bottles of water Jamie can purchase.

Now, let's solve this inequality for b. Dividing both sides of the inequality by $1.25 gives us b ≤ 13.16. Since Jamie can't buy a fraction of a bottle, she must buy at most 13 bottles of water.

Therefore, the inequality representing all possible values of b (i.e., the number of bottles of water Jamie can buy) is b ≤ 13.

Profit P(x) can be calculated as revenue minus cost. R(x) = 55x - 2x2 C(x) = 21x + 97 P(x) = - 2x2 + 34x - 97 Calculate the x-value that maximizes profit.

Answers

Answer:

8.5

Step-by-step explanation:

The vertex of a quadratic ax²+bx+c is located at x = -b/(2a). When the x² coefficient is negative, the vertex represents a maximum.

For P(x), the x-value of the maximum profit is ...

... x = -34/(2(-2))

... x = 8.5

Betty can drive her car 400 miles at a steady speed using 20 gallons of gasoline. at this rate how many gallons of gas will she use to travel 1600 miles

Answers

Answer:

80 gal

Step-by-step explanation:

20 gal takes her 400 mi

Vol. of gas = 1600 ×20/400

Vol. of gas = 1600 ×1/20

Vol. of gas = 80 gal

Betty will use 80 gal of gas.

Can someone please help

Answers

Answer:

3 Bookmarks

Step-by-step explanation:

1) Find the remaining money which is 0.96

2)Divide 0.96 evenly into 3 people, you should get O.32

3) If each bookmark costs 0.10, and each person gets 0,32 the greatest number of bookmarks they can get is 3.

What is the value of (-14⁰)-2
a -1/196
b 1/196
c 0
d 1

Answers

The value of (-14°)-2 is the reciprocal of 196 since the negative exponent indicates that we should take the reciprocal of the base raised to the positive exponent. The correct answer is 1/196.

The question asks for the value of (-14°)-2, which represents a mathematical expression that requires simplification using exponent rules. The notation a-n means that you should take the reciprocal of an, which in this case is the reciprocal of (-14°) squared. When squaring a negative degree value, the square of a negative number is positive, so (-14°)2 = 196°. Therefore, taking the reciprocal of 196° gives us 1/196.

The value of (-14°)-2 is 1/196.

You can buy 5 pounds of grapes for $9.95 .what is a proportion that gives the cost c if you buy 4 pounds of grapes

Answers

It’s a $1.99 per pound and it $7.96 for 4 pounds

9.95 / 5 = 1.99

4 x 1.99 = 7.96

$7.96

Solve for x:

-15x – 3 > 42

Answers

Answer: X < -3


Step-by-step explanation:

-15x - 3 > 42

-15x - 3 + 3 > 42 + 3

-15x > 45

-15x/-15 > 45/-15

Since we are dividing by a negative, we flip the >

x < -3

So, let's check

-4 < -3

-15*-4 - 3 > 42

60 - 3 > 42

57 > 42

Now, let's see if -3 will work.

-15*-3 - 3 > 42

45 - 3 > 42

42 > 42 (False)

Okay, now let's try 4

-15*4 - 3 > 42

-60 - 3 > 42

-63 > 42

This is false, so it is x < -3

The correct answer is x < -3

Explanation:

To solve our equation we first need to set out our equation, -15x – 3 > 42. Next, we add 3 to both sides of our equation, -15x - 3 + 3 > 42 + 3 = -15x > 45. Then, we multiply both sides by -1(Or in other words, reverse the inequality), -15x * -1 > 45 * -1 = 15x < -45. And then, we divide both sides by 15, 15x/15 < -45/15 = x < -3. Finally, we have our answer of x < -3.

Hope This Helps!!!

-AnimeDabGirl

what is the ratio of triangles to circle 3 trangle 2 circle

Answers

Answer:

3:2

Step-by-step explanation:

Triangle:circle

3 triangle:2 circle


I need to know where did kellys collection go the most?

Answers

Answer:

What options are there

Step-by-step explanation:


Answer:


Step-by-step explanation:

Between the third and fourth months, the size of K's collection grew by 3.  This is the steepest slope / greatest rate of change.

Divide. 413÷129 Enter your answer, as a mixed number in simplest form, in the box.

Answers

For this case we must divide the following expression:

[tex]\frac {413} {129}[/tex]

The expression can not be simplified. When dividing we have that its decimal form is given by:

3,201550

If we convert to a mixed number we have:

[tex]3 \frac {26} {129}[/tex]

Verifying:

[tex]3 \frac {26} {129} = \frac {129 * 3 + 26} {129} = \frac {413} {129}[/tex]

Answer:

[tex]3 \frac {26} {129}[/tex]

Michelle multiple 3.4×52. she incorrectly wrote 1,768 as her product.

Answers

Answer:

Wrong Answer 176.8

Step-by-step explanation:

Multiply 3.4 * 52 = 176.8


The correct product is 176.8
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