what is the following product? (2V7 +3V6)(5V2+4V3)

What Is The Following Product? (2V7 +3V6)(5V2+4V3)

Answers

Answer 1

[tex](2\sqrt{7}+3\sqrt{6})(5\sqrt{2}+4\sqrt{3}) \\\\\\ \begin{array}{lllllll} 10\sqrt{14}&+&15\sqrt{12}&+&8\sqrt{21}&+&12\sqrt{18}\\\\ &&15\sqrt{2^2\cdot 3}&&&&12\sqrt{3^2\cdot 2}\\\\ &&15\cdot 2\sqrt{3}&&&&12\cdot 3\sqrt{2}\\\\ &&30\sqrt{3}&&&&36\sqrt{2}\\\\ 10\sqrt{14}&+&30\sqrt{3}&+&8\sqrt{21}&+&36\sqrt{2}\\\\ 10\sqrt{14}&+&8\sqrt{21}&+&30\sqrt{3}&+&36\sqrt{2} \end{array}[/tex]


Related Questions

Fill in the blank with the correct response.
Twenty-seven is 25% of _____?

Answers

108 is the answer 25% of 108

Twenty-seven is 25% of 108

There are three different companies that are willing to provide the hot dogs.
• Company A charges $15 toevery 25 hot dogs, plus a cooking fee of $65.
• Company B charges $7 for every 14 hot dogs, plus a cooking fee of $62.
• Company C charges $22 for every 50 hot dogs, plus a cooking fee of $57.
Based on the number of hot dogs needed in question 5, what company will charge you the least amount of money? How do you know?

Answers

Answer:

Company A makes more for one purchase, and Company B makes more for ten purchases. Company C makes less for one purchase and Company A makes less for ten purchases.

Step-by-step explanation:

Company A: y = -3/5x + 65

Company B: y=1/2x + 62

Company C: 11/25x + 57

Make sure x is 1 then do all the equations, then x is 10 and do all the equations to see which has more amount of money and which has less.

Company A: 64.4 (if x = 1)

Company B: 62.5 (if x = 1)

Company C: 57.44 (if x = 1)

if x = 10

Company A: 59

Company B: 67

Company C: 61.4

(I might be wrong since I'm 14)

Company A makes more for one purchase, and Company B makes more for ten purchases. Company C makes less for one purchase and Company A makes less for ten purchases.

Theo saved $20 of his allowance money to buy art supplies. He bought a box of oil pastels for $6.20 and then spent ⅓ of the remaining money on new paintbrushes.

How much money did Theo have remaining/left after buying oil pastels?

Answers

Answer:

$13.80

Step-by-step explanation:

if it's only asking how much he had after buying the oil pastels, it's just 20-6.20 which is 13.80

Help me

solve this equation pls


x - -4 = -6

Answers

Answer:

x= -10

Step-by-step explanation:

[tex]x - ( - 4) = - 6 \\ x = - 6 - 4 \\ x = - 10[/tex]

Answer:

[tex]=> \: x = - 10[/tex]

Step-by-step explanation:

=> x - -4 = -6

=> x -( -4 )= -6

=> Collect like terms

=> x = -6 -4

[tex]=> \: x = - 10[/tex]

When A is -3, is b or c greater

Answers

Answer:

c letter is correct I think....

soit f la fonction qui a x associe le nombre 3x-1. La valeur de f(4+1) est ?

Answers

Jangan Mencoba Menikamku Dari Benakmu

Find GCF of 28y^5, and 6300x

Answers

225
hope it helps :))))

Find the volume of the sphere.
Either enter an exact answer in terms of 7 or use 3.14 for and round your final answer to the nearest hundredth.

Answers

Step-by-step explanation:

vol of sphere =

[tex](4 \div 3) \times {5}^{3} \times \pi[/tex]

523.59 units^3

Answer:

523.33 units³

Explanation:

Volume of a sphere = [tex]\frac{4}{3}[/tex]πr³ - Here the radius is 5 and take π as 3.14.

Using the formula:

[tex]\frac{4}{3}[/tex]πr³ [tex]\frac{4}{3}[/tex](3.14)(5)³523.33 units³              [ rounded to nearest hundredth ]

What is the common ratio of the
geometric sequence? 1,2,4,8

Answers

Answer:

r = 2

Step-by-step explanation:

To find the common ratio (r) of a geometric sequence, simply divide a term by its previous term.

   8 ÷ 4 = 2

or, 4 ÷ 2 = 2

or, 2 ÷ 1 = 2


Write the equation of the line that has a slope of 3/4 and yintercept of -7

Answers

Answer:

y= 3/4x -7

Step-by-step explanation:

equation of a line

y= mx+b

the slope is m

and the y intercept is b

in this case it would be

y= 3/4x -7

Answer:

Step-by-step explanation:

y = mx + b

y = 3/4x - 7

Hope this helps!

I need help with this question quick :,) please answer lol

Answers

Answer:

y=6x-4

Step-by-step explanation:

First find the slope using the coordinates of (-1,-10) which will be your first pair x1 and y1. And (3,14) will be x2 and y2. To find the slope use this formula: m= y2-y1/x2-x1

Put the numbers of the coordinates in the formula and you get a fraction of

24/4 = 6 this is the slope

m=6

Then to find the y-int

Pick a coordinate they both will give the same answer. Put it into the point slope formula: y-y1=m(x-x1)

Only use y1, x1, and m which is 6 And solve

y-14=6(x-3) distribute the 6 this gives you
y-14=6x-18 to get y by itself, ADD 14 to both sides of the equal sign

Leaving you with y=6x-4

CAN SOMEBODY PLEASE HELP ME ASAP!!!! will mark brainliest
Tom is making a cover for a box that is 4.5 feet long and 23 inches wide. What will be the area of a cover in square inches?

Answers

Answer:

103.5

Step-by-step explanation:

The area is the height times width, and 4.5 times 23 is 103.5.

1. Which of the following is NOT a possibility
for a system of two linear equations?
a. having no solution
b. having one solution
c. having two solutions
d. having infinitely many solutions

Answers

Answer:

c. having two solutions

Answer:

C because for there to be two solutions, one or more of the lines graphed would have to be curved, meaning having two solutions is not possible for two linear equations

can you help me pls? ​

Answers

Answer:

true? i think

pls help me on this question people are just putting the answer as I don't know plsssss help me

Answers

Answer:

322 ft²

Step-by-step explanation:

Trapezoid area formula:

[tex]A=\frac{a+b}{2} *h[/tex]

Given:

a = 11

b = 35

h = 14

Work:

[tex]A=\frac{a+b}{2} *h\\\\A=\frac{11+35}{2} *14\\\\A=\frac{46}{2} *14\\\\A=23*14\\A=322[/tex]

Answer:

322 ft^2

Step-by-step explanation:

for a trapezoid A= base 1+ base 2 divided by 2, multiplied by the height

(35+11/2)*14= 322

Can y’all please help me with this question . I need the answer ASAP!!

Answers

Answer: This is the answer to your equation sorry I had to do It on a doc

Answer:

-4

-4

1

-8

1

Step-by-step explanation:

[tex]x^2-4x-8=0[/tex]

Comparing [tex]ax^2+bx+c=0[/tex]

⇒ a = 1, b = -4 and c = -8

Substituting these values into the quadratic formula:

[tex]x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-8)} }{2(1)}[/tex]

(The numbers you need to fill in the blanks are in bracket)

A car travels 10 km southeast and
then 15 km in a direction 60° north of
east. Find the magnitude of the car's
resultant vector.
[?] km
Round to the nearest tenth.

Answers

[tex]\bold{\huge{\green{\underline{Solution}}}}[/tex]

A car travels 10 km southeast and then 15 km in a direction 60° north of east

[tex]\bold{\underline{ To\: Find }}[/tex]

We have to find the magnitude of the car of resultant vector

[tex]\bold{\underline{ Let's \: Begin }}[/tex]

Here,

In South east, car travels = 10km

In North of east, it travels = 15km

Angle between south east and north east is 60°

Therefore,

According to parallelogram law of resultant vector

If two vectors are represented by two adjacent sides of a parallelogram drawn from a point , the their resultant is equal to the diagonal of the parallelogram.

That is,

[tex]\sf{ R = AC^{2}= A^{2}+ B^{2}}[/tex]

But, we have to calculate the magnitude of the resultant vector

[tex]\sf{ | R |= √A^{2}+ B^{2}+ 2ABCos{\theta} }[/tex]

Subsitute the required values,

[tex]\sf{ | R |=\sqrt{ (10)^{2} + (15)^{2} + 2× 10 × 15 × cos 60{\degree}}}[/tex]

[tex]\sf{ | R | =\sqrt{ 100 + 225 + 20 × 15 × 1/2}}[/tex]

[tex]\sf{ | R | = \sqrt{100 + 225 + 10 × 15 }}[/tex]

[tex]\sf{ | R | = \sqrt{335 + 150 }}[/tex]

[tex]\sf{ | R | = \sqrt{485 }}[/tex]

[tex]\sf{\red{ | R | = 22.02 \: km}}[/tex]

Hence, The magnitude of the car resultant vector is 22.02 km.

reply asap!! will give brainliest if i can

Answers

Answer:

-1/2d + f

Step-by-step explanation:

cmon fam I know you know how to do this just find the least common denominator and subtract like terms (numbers with the same variable) and then simplify the fractions

ect the best answer for the question.
What is the slope of a line that passes through (-12,15) and (0,4)?

Answers

Answer:

y = -11/12x + 4

Step-by-step explanation:

(-12,15) and (0.4)

4 - 15 = -11

0 -(-12) = 12 (since minus a negative = positive)

-11/12

Then just put the numbers.

15 = -11/12(-12)

15 = 11 + b

4 = b

Additional Information:

Slopes are really fun to do, but they get tricky and confusing. By the way, I am 14 years old and I did slopes, and I'm not the best at this, so I might be wrong. :( Don't hate me.

Answer:

  -11/12

Step-by-step explanation:

The slope of the line is the difference in y-values divided by the difference in x-values. It is ...

  m = (y2 -y1)/(x2 -x1)

  m = (4 -15)/(0 -(-12)) = -11/12

The slope of the line through the given points is -11/12.

I need help!!!!!!!!!!

Answers

Answer:

less

greater

less

greater

Tesa and Vivienne share £96 in the ratio 5:3. How much does Tesa receive?​

Answers

Answer:

Tessa receives £60

Step-by-step explanation:

The ratio is 5:3 so 5+3=8 which is then what you use to divide 96

96/8=12

12x5(the 5 comes from the ratio for Tess) is 60 therefore she receives £60

Answer:

60£

Step-by-step explanation:

Tesa and Vivienne share £96 in the ratio 5:3. How much does Tesa receive?​

96 : (5 + 3) = 12

12 * 5 = 60

Which list of points are solutions to the graph of y = 1/2x - 2​

Answers

Answer:

B) (20,8) , (30,13) , (40,18)

Step-by-step explanation:

To check: (20,8)

y = 1/2x - 2

8 = 1/2(20) - 2

8 = 10 - 2

8 = 8

This is true, which makes our point true.

To check: (30,13)

y = 1/2x - 2

13 = 1/2(30) - 2

13 = 15 - 2

13 = 13

This is true, which makes our point true.

To check: (40,18)

y = 1/2x - 2

18 = 1/2(40) - 2

18 = 20 - 2

18 = 18

This is true, which makes our point true.

Hope that helps!

8) Which equation represents the relationship between b and c?
A) C = 70b
B) C = b + 70
C) c = 140b
D) C = b + 140

Answers

Answer:

C=70b

Step-by-step explanation:

multiply each number in b by 70  to get the correct answer of c

g(t)-3t-5;Findg(-9) of you could show the steps to solve.

Answers

Step-by-step explanation:

Substitute t = -9:

[tex]g( - 9) = 3( - 9) - 5[/tex]

Solve:

[tex]g( - 9) = - 27 - 5[/tex]

[tex]g( - 9) = - 32[/tex]

A spinner has five section labeled ABC D & E the spinner is spun 45 times in there so I recorded in the table what is the experimental probability of the spinner landing on see round to the nearest percent and if necessary

Answers

Answer:

It'll be 18% to the nearest percent

Step-by-step explanation:

2/5 × 45 = 18

Answer:

The answer is 18%

Step-by-step explanation:

The formula to find experimental probability is number of favorable outcomes/total number of trails. Our favorable outcome here is C ( the outcome we want), and it occurs 8 times. The spinner is spun 45 times so there are 45 trials. This means we get 8/45. 8 divided by 45 equals 0.177777778. When rounded up equals 0.18=18%.

Hope this helps for you K12 math test.

what is the solution to 2h + 8 > 3h - 6

Answers

Answer: H<14

Expelnation:2

h

+

8

>

3

h

6

8

>

h

6

(subtract

2

h

from both sides)

14

>

h

(add

6

to both sides)

or

h

<

14

y = 2x + 4
6x – 3y = -12
System by substitution 10 points

Answers

Answer:

(-2, 0)

Step-by-step explanation:

y = 2x+4

6x - 3y = -12

Start by simplifying the second equation by dividing everything by 3 (this will make the math easier)...

2x - y = -4

Then, substitute 2x+4 for y into the second equation (this is because y = 2x+4)...

2x-3(2x+4)=-4

Distribute the -3

2x-3(2x)-3(4)=-4

2x-6x-12=-4

Combine like terms

-4x-12=-4

Add 12 to both sides

-4x-12+12=-4+12

-4x=8

Divide both sides by -4

x=-2

Plug -2 back in for x to solve for y:

y = 2(-2) + 4

y=-4+4

y=0

(x, y) = (-2, 0)

Answer:

Infinitely many solutions

Step-by-step explanation:

[tex]y=2x+4\\ [2] 6x-3y=-12[/tex]  < ------------- Linear equations given

Equations Simplified or Rearranged :

[tex]y - 2x = 4 \\ [2] -3y + 6x = -12[/tex]

Solve by Substitution :

// Solve equation [1] for the variable [tex]y[/tex]

[tex][1] y = 2x + 4[/tex]

// Plug this in for variable[tex]y[/tex]  in equation[tex][2][/tex]

[tex][2] -3*(2x+4) + 6x = -12[/tex]

[2]    [tex]0 = 0 =>[/tex]  Infinitely many solutions

What is the image of the point (-4,7) after a rotation of 180° counterclockwise
about the origin?

Answers

(-4,7) 180 counterclockwise is

(4,-7)

A and B can do a task in t hours.A and b can complete the task in t+2 and t+18 hours respectively.Find t

Answers

Step-by-step explanation:

A can do 1/(t+2) of the task in 1 hour.

B can do 1/(t+18) of the task in 1 hour.

t×1/(t+2) + t×1/(t+18) = t/t = 1 (the full task is done)

t + t×(t+2)/(t+18) = t+2

t×(t+18) + t×(t+2) = (t+2)(t+18)

t² + 18t + t² + 2t = t² + 20t + 36

2t² + 20t = t² + 20t + 36

2t² = t² + 36

t² = 36

t = 6

What is the length of the midsegment of this trapezoid?

Answers

Answer:

7 units

Step-by-step explanation:

the distance between -2 and 4 on the x axis is 7

and then i found the middle point and tried to find the length of it on the y axis

Other Questions
Three students wrote expressions on their dry erase boardsWhich of these students wrote equivalent expressions?Group of answer choicesA. Jayden and LeahB. Fabian and LeahC. FabianD. Leah how do i do these? please help this is due today :) Is Macbeth a moral play? Explain Brainliest if correct Question Round to the nearest ten-thousand. 1,409,836 But he looked to me, as I grew older, likepictures I had seen of African tribalchieftains.-"Notes of a Native Son,"James BaldwinWhat type of figurative language does Baldwinuse here?similemetaphornuance After World War II, Berlin was controlled byO the Axis nations.O the Soviet Union.O the Allied nations.O the United States. The most motivating quote you find in the Bible.....Tell ur own thoughts no copy paste please what was oklahoma called before it was called oklahoma help please! i will give brainliest Select all the equations that are equivalent to 1/2(4+8x)=17. 1. 2+4x=8.52. 4x=153. 4+8x=8.54. 4+8x=345. 2=17-8x What is this expression in simplified form? 2y^215+5y15-3y^260+7y The value of the digit 9 in the number 29,461 is 10 times the value of the digit 9in which number?46,195B53,98289,354D93,610 the scale of a map is 1cm : 17km. find the actual distance corresponding to the map distance. the distance on the map is 2.5cm Math question from my quizziz, I don't know if it's 1/a^9 or a^9 simplify the expression by combining like terms what is the main character in a play, story, or novel called? Given r(x)= -5-x and s(x)=x-8, which of the following is equivalent to t(x)=s(r(x))a) t(x)= x+10x+17b) t(x)= -x+3c) t(x)= -x-13d) t(x)= x-10x+3e) None of the above which would cause a greater change in energy of motion doubling the weight or doubling the speed why ** if u can answer this quickly it will be very appreciated!**Fill in each blank with a number so that every row, column, and diagonal so that it adds up to the same total.