i need help in finding numerical value please

I Need Help In Finding Numerical Value Please

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\sqrt{18}=\sqrt{2*3*3}=3\sqrt{2}[/tex]

[tex]\sqrt{12}=\sqrt{2*2*3}=2\sqrt{3}[/tex]

[tex]A=\sqrt{2}+\sqrt{18}\\\\=\sqrt{2}+3\sqrt{2}\\\\=(1+3)\sqrt{2}\\\\=4\sqrt{2}[/tex]

[tex]B=\sqrt{3}+\sqrt{12}=\sqrt{3}+2\sqrt{3}\\\\ = (1+2)\sqrt{3}\\\\ = 3\sqrt{3}[/tex]

[tex]\sqrt{B^{2}+A^{2}-2*B*A}=\sqrt{(B-A)^{2}}\\\\=B-A\\\\=3\sqrt{3}-4\sqrt{2}[/tex]

= 3* 1.732 - 4 *1.4142

= 5.196 - 5.6568

= -0.4608

Answer 2

Exact Answer:   [tex]4\sqrt{2} - 3\sqrt{3}[/tex]

Approximate Answer:  0.46070182678574

Round the approximate value however you need to.

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

Work Shown:

[tex]C = \sqrt{ B^2 + A^2 - 2BA}\\\\C = \sqrt{ B^2 - 2BA + A^2}\\\\C = \sqrt{ (B-A)^2 }\\\\C = -(B-A) \ \ \text{ see note below}\\\\C = -B+A\\\\C = A-B\\\\C = (A) - (B)\\\\[/tex]

[tex]C = (\sqrt{2}+\sqrt{18}) - (\sqrt{3}+\sqrt{12})\\\\C = \sqrt{2}+\sqrt{18} - \sqrt{3}-\sqrt{12}\\\\C = \sqrt{2}+\sqrt{9*2} - \sqrt{3}-\sqrt{4*3}\\\\C = \sqrt{2}+\sqrt{9}*\sqrt{2} - \sqrt{3}-\sqrt{4}*\sqrt{3}\\\\C = \sqrt{2}+3\sqrt{2} - \sqrt{3}-2\sqrt{3}\\\\C = 4\sqrt{2} - 3\sqrt{3} \ \ \text{ ..... exact value}\\\\C \approx 0.46070182678574 \ \ \text{ ..... approximate value}[/tex]

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

Note: The rule used here is

If x is positive then [tex]\sqrt{x^2} = x[/tex]

Or if x is negative, then [tex]\sqrt{x^2} = -x[/tex]

Since B-A = -0.4607 approximately, we will use the second version of the rule above.


Related Questions

Jack bought 5.94 pounds of beef for dinner. What is the first step in rounding this number to the nearest​ tenth? What is the next​ step? What is 5.94 rounded to the nearest​ tenth?

Answers

Answer: 5.9

9.94 rounded to the nearest tenth is 5.9

Plz mark brainliest:)

Multiply. Write each product in simplest form, 1 4/5 x 1/2

8/9
9/8
1 1/8
1/8

Answers

9/10 or 0.9

mark me brainliest if you feel like mine was helpful!! I hope that helped!

what is value of x , 1x + 2x = 30​

Answers

Answer:

x = 10

Step-by-step explanation:

1x + 2x = 30​

3x = 30

x = 10

Charlene Langhorst's gross weekly salary is $680. Her federal withholding is $101.62. Her employer takes out the standard rates for FICA (Social Security/Medicare). The state tax is 1.5% of gross pay. Each week she pays $32.40 for medical insurance. What are Charlene's total weekly deductions? *

Answers

Answer:

Total deductions =  $196.24

Step-by-step explanation:

Gross weekly salary = $680

federal holding = $101.62

FICA standard rate = 7.65% of gross earnings

= 7.65% of $680 = 0.0765 × 680 = $52.02

∴ FICA deductions = $52.02

state tax = 1.5% of gross pay = 1.5% of $680

state tax = 0.015 × 680 = $10.2

∴ state tax = $10.2

Medical insurance = $32.40

Total Deductions = 101.62 + 52.02 + 10.2 + 32.40 = $196.24

Write the formula for the volume of a cone V = 13π r2 h in terms of h.
Find the height h of a cone with volume V = 32π cm3 and radius r = 4 cm.


Formula:

Height:

Answers

Answer:

Formula:  V = 1/3πr^2h

Height: 6cm

Step-by-step explanation:

step one:

given information

volume =32π cm^#

radius=4cm

step two:

The formula is

V = 1/3πr^2h

substituting we have

32π =1/3π*4^2*h

32π=16πh/3

π cancels out

step three:

cross multiply we have

32*3=16h

divide both sides by 16 we have

96/16=h

h=6cm

Triangle ABC is dilated by a scale factor of 4. If A is located at (3,-5), where will A’ Be located?

Answers

Answer:

Step-by-step explanation:

Multiply both numbers by 4. That is your new coordinates. (12,-20)

I WILL GIVE CROWN WHO ANSWERS CORRECTLY

Answers

The answer is B,
you need to change the equation to y=mx+b
we have 6x-4y=2 what we need to do is take the 6x and put it on the other side so it’ll be: -4y=-6x+2 we then divide everything by -4 and the answer should be: y=1.5x-0.5.
you then change the second equation. Which is -2y+3x=1 we are going to follow the steps as the first equation we did so you divide everything by -2 because we want the y to be 1. It should look like this y=1.5x-0.5.
As you can see they are the same equation so that means they are in the same line so by that they’re be infinitely many solutions.

Hope this helps.

helpppp quickkkkkkkkk

Answers

same side interior angles

Answer:

your answer is the last on the bottom

Given the graph what is a,h,k

Answers

We can answer this without knowing witch plots are witch

The variables y and x have a proportional relationship, and y = 24 when x = 16.



What is the value of x when y = 36?

x = 16
x = 24
x = 36
x = 54

Answers

Answer:

b) x = 24

Step-by-step explanation:

if y is 24 and x is 16, they make the fraction [tex]\frac{24}{16}[/tex]

this can be simplified to [tex]\frac{3}{2}[/tex] if you divide both sides of the fraction by 8.

36/3 is 12, and 12 * 2 = 24.

so, x = 24

Answer:

x=24 or B is the correct answer.

I took the test, and this was the correct answer. Hope this helped-!

What describes the reflection of the figure?
A) reflection over the x-axis
B) reflection over the y- axis
C) reflection over the line x=2
D) reflection over the line x=-2

Answers

reflection over y axis

The graph represents one side of the roof of a building. ​

Answers

Answer:the answers are: 0,1 and 2,7 and 4, 14

Step-by-step explanation:

Switch them if not in the right order, one of them is 2,7 because one of the dots are in between 6 and 8

Ethan builds two different kinds of chairs, rockers and swivels. It takes him 3 hours to build a rocker and requires 2 oz of stain. It takes him 2 hours to build a swivel chair and requires 8 oz of stain. Ethan has 56 oz of stain available and he can only work up to 24 hours. He makes $12 profit on each rocker and $10 profit on each swivel chair. 1. Since there cannot be negative chairs, create two constraints to represent this. 2.Create a constraint for the hours it takes to build the chairs. 3. Create a constraint for the stain it takes for the chairs. PLEASE HELP

Answers

Answer:

(1) [tex]x\geq 0\; \text {and}\;y\geq 0[/tex]

(2) [tex]3x + 2y\leq[/tex] 24

(3) [tex]x+4y\leq 28[/tex]

Step-by-step explanation:

Let x and y be the numbers of rockers and swivels made by Ethan.

(1) Since the number of chairs can't be negative. So,

x\geq0 and y\geq 0 are the two constraints.

(2) He can work a maximum of 24 hours.

The time required to make 1 rocker chair and 1 swivels chair are 3 hr and 2 hr respectively.

So, the time required to make x rocker chair = 3x hr

and the time required to make y swivel chair = 2y hr.

The total time required is  3x + 2y hr which can't be more than the available time, 24 hr.

So, the required constraint is

[tex]3x + 2y\leq 24[/tex]

(3) Similarly,

As 1 rocker chair requires 2 oz strain and 1 swivel chair required 8 ox strain.

So, to make x rocker chair 2x oz required and make y swivel chair 8y oz required which can't be more than the available oz, 56.

So, the required constraint is

[tex]2x + 8y\leq 56[/tex]

[tex]\Rightarrow x+4y\leq 28.[/tex]

.To find a shoe size, the manufacturer uses the equation S = 3f - 22, where S
represents the shoe size and f represents the heel-to-toe length of the foot, in
inches. Which of the following is the same equation solved for fin terms of
S?

Answers

See attachment for math work and answer.

Answer:

Adelaide has a credit card with a company that charges $3.00 for every day a payment is late. If she paid $492.93 for a bill that is 3 days late, how much was the bill without the late fee?

A. $486.93

B. $483.93

C. $489.93

D. $480.93

Step-by-step explanation:

help me with this question

The sum of 5 amd 8 terms of an A.P is 37 and its 11 term is 32 find the A.P

Answers

Given:

Sum of 5th & 8th terms of an AP = 37

11th term = 32

Find:

A.P

Solution:

We know that,

nth term of an AP – an = a + (n - 1)d

Hence,

⟹ a₅ + a₈ = 37

⟹ a + (5 - 1)d + a + (8 - 1)d = 37

⟹ 2a + 4d + 7d = 37

⟹ 2a + 11d = 37 -- equation (1)

Similarly,

⟹ a₁₁ = 32

⟹ a + (11 - 1)d = 32

⟹ a + 10d = 32

⟹ a = 32 - 10d

Substitute the value of a in equation (1).

⟹ 2(32 - 10d) + 11d = 37

⟹ 64 - 20d + 11d = 37

⟹ 64 - 37 = 20d - 11d

⟹ 27 = 9d

⟹ 27/9 = d

⟹ 3 = d

Substitute the value of d in equation (1).

⟹ 2a + 11(3) = 37

⟹ 2a + 33 = 37

⟹ 2a = 37 - 33

⟹ 2a = 4

⟹ a = 4/2

⟹ a = 2

Now,

General form of an ap = a , a + d , a + 2d...

⟶ Required AP = 2 , 2 + 3 , 2 + 2(3)...

⟶ Required AP = 2 , 5 , 2 + 6...

⟶ Required AP = 2 , 5 , 8...

I hope it will help you.

Regards.

Answer:

→ md - 2nd + 3md = 2 * [ a + (n - 1)d ]

→ 4md - 2nd = 2 * [ a + (n - 1)d ]

→ 2(2md - nd) = 2 * (a + nd - d)

→ 2md - nd - a + d = nd

→ 2md - nd - (md - 2nd) + d = nd

[ From equation (1) ]

→ 2md - nd - md + 2nd + d = nd

→ md + nd + d = nd

→ (m + n + 1)d = n * d

→ (m + n + 1) = n

Step-by-step explanation:

√27
A. 3√3
B. 6√7
Which one? ​

Answers

3 squee root 3 so a is the answer

Answer:

√27 = A. 3√3

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form:

3 √ 3

-4 5/6 + (3 1/3) =
How dI you do this?

Answers

they should have common denominators so 1/3 turns into 2/6 and - 5/6 + 2/6 is -3/6 simplify that to -1/2 and -4 + 3 is -1 so the answer is -1 1/2

PLSS HELP DUE IN 4 MINS

Answers

Answer:

The inverse is 1/2x -1/2

Step-by-step explanation:

f(x) = 2x+1

y = 2x+1

Exchange x and y

x = 2y+1

Solve for y

Subtract 1

x-1 = 2y+1-1

x-1 =2y

Divide by 2

x/2 -1/2 = 2y/2

1/2x -1/2 = y

The inverse is 1/2x -1/2

A librarian has 16 books that she plans to place in a specific order on her shelf: 7 of them are identical copies of The Shining, 5 of them are identical copies of Carrie, and 4 of them are identical copies of Misery. How many different orders of all 16 of these books are there?

Answers

Answer:

3

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

the relationship between altitude and the boiling point is linear.AT an altitude of  8300ft 8300 ft , the liquid boils at  194.23 194.23 degrees Fahrenheit an altitude of  4200 ft , 4200 ft , the liqiud boils at  202.02 202.02 degrees fahrenheit.Write an equation giving the boiling point  b b of the liquid,in degrees fahrenheit in terms of altitude a in  feet . feet . What is the boiling point of the liqud at  2600 ft 2600 ft

Answers

Complete Question

The  relationship  between  altitude  and  the  boiling  point  is  linear. At  an  altitude  of   8300ft, the  liquid  boils  at   194.23 °  F

At  an  altitude  of   4200 ft ,  the  liquid  boils  at   202.02° F.

Write  an  equation  giving  the  boiling  point   b  of  the  liquid,  in  terms  of  altitude  a  in   feet . feet . What  is  the  boiling  point  of  the  liquid  at   2600ft

Answer:

The equation is  [tex]y  =  -0.001943x + 210.3569 [/tex]

At  2600ft  the temperature is  [tex]y  =  205.3051 \  °F [/tex]

Step-by-step explanation:

From the question we are told that

    The temperature at 8300ft is 194.23 °  F

    The  temperature at 4200 ft is 202.02° F

Generally the slope for this relationship is mathematically represented as

      [tex]m  =  \frac{ 202.2 - 194.23}{ 4200 - 8300}[/tex]

=>     [tex]m  = 0.001943  ^o  F / ft [/tex]  

Generally the according to the point slope formula is

      [tex]y - y_1  =  m(x -x_1 )[/tex]

=>   [tex]y - 194.23 =  -0.001943 (x - 8300 )[/tex]

=>  [tex]y - 194.23 =  -0.001943x + 16.1269 [/tex]

=>  [tex]y  =  -0.001943x + 210.3569 [/tex]

Now we are given from the question that   x =  2600 ft

Then  

         [tex]y  =  -0.001943(2600) + 210.3569 [/tex]

=>      [tex]y  =  205.3051 \  °F [/tex]

   

Equations
#1: Tell whether the function below is linear or exponential.
1 pc
y = 3x - 7

It’s it a linear or exponential

Answers

Answer:exponential

Step-by-step explanation:

The equation is exponential


Which expression isequivalent to (65) (62)?

Answers

What are the options? There’s a bunch that’s equivalent. (65) (62) is multiplying 65 x 62 if it helps


Simplify the following expression,
(5^2)^-1

Answers

the answer is 1/25 because u square 5 which is 25. since u can’t have negative exponents on top u move the term to the bottom so the top would just have a place holder of 1.

I REALLY REALLY NEED HELP

Answers

Answer:

answer all?

Step-by-step explanation:

Answer:

1- SF: 2; X:7

2- SF:2.5; X:10.5

3- SF:1.5; X:7.5

4- SF:3; X:9.4

Step-by-step explanation:

Simplify

-5y - X + 7 - 2y + 3x + 4​

Answers

Answer:

-7y + 2x + 11

Step-by-step explanation:

-5y - X + 7 - 2y + 3x + 4​

-7y + 2x + 11

Answer: 2x-7y+11

Step-by-step explanation:

Add the x's and then add the y's. add the 4 and seven because they do not have a variable.

Given QRS =TUV,QS=3n+4,and TV=6n-8,find the length of QS and TV.

Answers

Answer: A. 16

Step-by-step explanation:

It would be C, but at the end you have to plug it in the 3n + 4. :)

Find the equation of a line that passes through the points (1,-3) and (3,-4).
Leave your answer in the form
y=mx + c

Answers

The answer is y= -1/2x -2.5

A local city collects
7% sales tax. If the
total purchase was
$321.00, then how
much was collected for
sales tax?

Answers

321x.07 (7%) = 22.47
$22.47 tax was collected, add that to 321 to find the total. :)

subtract from both sides -6- (8.4) =1.2x +8.4 - (8.4)​

Answers

Answer: -6- (8.4) =1.2x +8.4 - (8.4)​

X = - 12

Can someone help me find the slope of each set of ordered pairs?
The first is, (5, 7) and (-1, 3)
The second is, (-3, -5) and (3, -15)

I think the first is positive 2/3, but for the second I am stuck

Answers

Answer:

3-(-3) / -15-(-5)

= 3+3/-15+5

=6 /-10

= -3 /5

Hope it helps You

Mark as brainliest

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