If 2+√3/2-√3= a+b√3 Find a and b ​

Answers

Answer 1

Answer:

a = 7, b = 4

Step-by-step explanation:

Simplify the left side:

(2 + √3)/(2 - √3) = (2 + √3)(2 + √3)/(2 + √3)(2 - √3) =(4 + 4√3 + 3)/(4 - 3) =7 + 4√3

Compare with the right side:

a = 7, b = 4

Related Questions

Simplify the linear expression. −2x+3(−5x+1) Enter your answer in the box.

you will get brainiest

Answers

Answer:

3/17

Step-by-step explanation:

-2x + 3(-5x + 1)

-2x -15x +3

-17x + 3

17x = 3

x = 3/17

n divided by 100 equal 0.982​

Answers

Answer:

98.2

Step-by-step explanation:

100 x 0.982 = 98.2

98.2 / 100 = 0.982

Please do number 4!!!!!

Answers

Answer:

just put the 25 into the equation, and you get the M, as the money she earn

2.5(25) + 12 = 74.5 that is the amount she earns

Answer: 74.5

Step-by-step explanation:

M = money = ?

f = faces she paint = 25 faces

M = 2.50(f) + 12 —> ? = 2.50(25) + 12 = 74.5

please can someone answer all these

Answers

Answer:

what is it what math

Step-by-step explanation:

um what kind of math is this high school primary school

x / 2.5 = 10
plz helppp

Answers

Answer:

x=25

Step-by-step explanation:

salaries of nurses in southern california are normally distributed with a mean of $6250 and a standard deviation of $250. what is the probability the mean salary of 25 randomly selected nurses is below $6150 or is above $6350 a month

Answers

Step-by-step explanation:

z-score of X = 6150

[tex] \frac{6150 - 6250}{250} = - 0.4 \\[/tex]

z-score of X = 6350

[tex] \frac{6350 - 6250}{250} = - 0.4[/tex]

P(X<6150) + P(X>6350)

=P(z<-0.4) + P(z>-0.4)

=0.3446+0.3446

=0.6892

ecuacion primer grado para hoy 7x+2=8x+5

Answers

Answer:

[tex]7x + 2 = 8x + 5 \\ collecting \: like \: terms \: \\ 7x - 8x = 5 - 2 \\ - 1x = 3[/tex]

(ecuacion primer grado para hoy. ). what does this mean..

Answer:

7x+2=8x+5

Recopilar términos semejantes

7x - 8x = 5 - 2-1x = 3x = 3/-1x = - 3

What percent of the students in
applied majors are majoring in
electronics, industrial design, or civil engineering?

Answers

electronics- 40%
industrial design- 20%
civil engineering- 100%
not sure but best of luck :)

Consider the following game. The diamonds are taken out of a deck of cards, and are shuffled randomly. You pay $5 to pick one of the diamonds. If you pick the ace of diamonds, you win $20. If you pick the jack, queen, or king, you win $10. However, if you pick any other card, then you don't win any money. What is the expected value of this game? Is it in the player's favor to play this game? Why or why not?

Answers

Answer:

It is not in the players favor because there is a 4/13 chance that the player will win money. That"s not even 50%. So its up to the player if they want to take that risk but its a 0.3% chance that the player will win money.

Hope this helps :)

HELppppppppppppppppp

Answers

9514 1404 393

Answer:

40 -8p -3w$4

Step-by-step explanation:

Ms. Liu will have to pay 8p for p bags of popcorn, and 3w for w bottles of water. The amount she will have left will be these amounts subtracted from $40.

  40 -8p -3w . . . . represents the money remaining

For p=3 and w=4, this evaluates to ...

  40 -8(3) -3(4) = 40 -24 -12 = 4

Ms. Liu will have $4 left after her purchase.

how long does it take for 100 hens to lay 100 eggs if 5 hens are known to lay 5 eggs in 5 minutes?​

Answers

Answer:

100 mins/ 1 hour 40 mins

Step-by-step explanation:

if 5 hens are known to lay 5 eggs then each hen lays 1 egg a minute

so multiply 1 by 100

and 100 time 1 equals 100

Brooke and her friends buy a jumbo bag of Millicent's Mini Donuts at the fair. They sit at a
picnic table to share them. Brooke evenly distributes the donuts onto 13 napkins, one for
each person in the group. Each napkin has 4 donuts.
Which equation can you use to find the number of donuts d in the bag?
d + 13 = 4
d
= 4
13
13d = 4
d - 13 = 4

Answers

Answer:

d+13=4 is wrong it would be divede because it says put one in each napkin so it is being divided

Step-by-step explanation: 13/d

Click on the graph to draw a trapezoid with right angles at (0, -7) and (8,−7), another vertex at (8,0), and a vertical base of 16 units

Answers

Answer: (0, -7) (8, -7) (8, 0) (0, 9) (0, -7)

Step-by-step explanation: It already tells you three of the coordinates. From plotting those, just create a vertical line from (0, -7) up that is equal to 16 and connect that coordinate with (8, 0).

A small city gets its water supply from three sources: two wells and a small upland reservoir. The well supplies require pumping, and so are more expensive. Reservoir water flows directly to the town by gravity. The town needs a total of 20 mgd (million gallons per day) of water. The cost of water is zero if obtained from the reservoir, $60/million gallons if from Well-field 1, and $30/million gallons if from Well-field 2. The reservoir can deliver 9 mgd; Well-field 1 has a capacity of 25 mgd, and Well-field 2 has a capacity of 3 mgd. (Hint: use the Lagrange multipliers for the last three questions. You can check your answers using Excel solver)
a) Formulate this problem in terms of an objective function and constraint(s).
b) Solve the problem by hand using the Lagrange Multipliers, and find the minimum total cost combination of flows from each source, and minimum total cost.
c) How much, annually, should the city be willing to pay to expand the capacity of the reservoir, Well-field 1, and Well-field 2
d) If the city decided to conserve water and the demand decreased from 20 to 19.5 mgd, how much would the city benefit from this conservation?
e) If you had a chance to expand the capacity of reservoir, Well-field 1, or Well-field 2 reservoir, Well-field 1, and Well-field 2 What would be the new cost? which one(y) would you prefer to increase, why?

Answers

Answer: A small city gets its water supply from three sources: two wells and a small upland reservoir. The well supplies require pumping, and so are more expensive. Reservoir water flows directly to the town by gravity. The town needs a total of 20 mgd (million gallons per day) of water. The cost of water is zero if obtained from the reservoir, $60/million gallons if from Well-field 1, and $30/million gallons if from Well-field 2. The reservoir can deliver 9 mgd; Well-field 1 has a capacity of 25 mgd, and Well-field 2 has a capacity of 3 mgd. (Hint: use the Lagrange multipliers for the last three questions. You can check your answers using Excel solver)

a) Formulate this problem in terms of an objective function and constraint(s).

b) Solve the problem by hand using the Lagrange Multipliers, and find the minimum total cost combination of flows from each source, and minimum total cost.

c) How much, annually, should the city be willing to pay to expand the capacity of the reservoir, Well-field 1, and Well-field 2

d) If the city decided to conserve water and the demand decreased from 20 to 19.5 mgd, how much would the city benefit from this conservation?

e) If you had a chance to expand the capacity of reservoir, Well-field 1, or Well-field 2 reservoir, Well-field 1, and Well-field 2 What would be the new cost? which one(y) would you prefer to increase, why?

Step-by-step explanation: A small city gets its water supply from three sources: two wells and a small upland reservoir. The well supplies require pumping, and so are more expensive. Reservoir water flows directly to the town by gravity. The town needs a total of 20 mgd (million gallons per day) of water. The cost of water is zero if obtained from the reservoir, $60/million gallons if from Well-field 1, and $30/million gallons if from Well-field 2. The reservoir can deliver 9 mgd; Well-field 1 has a capacity of 25 mgd, and Well-field 2 has a capacity of 3 mgd. (Hint: use the Lagrange multipliers for the last three questions. You can check your answers using Excel solver)

a) Formulate this problem in terms of an objective function and constraint(s).

b) Solve the problem by hand using the Lagrange Multipliers, and find the minimum total cost combination of flows from each source, and minimum total cost.

c) How much, annually, should the city be willing to pay to expand the capacity of the reservoir, Well-field 1, and Well-field 2

d) If the city decided to conserve water and the demand decreased from 20 to 19.5 mgd, how much would the city benefit from this conservation?

e) If you had a chance to expand the capacity of reservoir, Well-field 1, or Well-field 2 reservoir, Well-field 1, and Well-field 2 What would be the new cost? which one(y) would you prefer to increase, why?

PLEASE HELP

A. Anna's route is about 4 miles shorter than Alex's route, but he gets home about 20 minutes before she does because he
is traveling faster.

B. Anna's route is about the same length as Alex's route, but he will get home first because he is driving.

C. Alex's route is about the same length as Anna's route, but his stop for pizza allows Anna to get home about 30 minutes
before him

D. Alex's route is about 4 miles longer than Anna's route, but his stop for pizza allows Anna to get home just minutes before him

Answers

Answer:

A. Anna's route is about 4 miles shorter than Alex's route, but he gets home about 20 minutes before she does because he

is traveling faster.

Step-by-step explanation:

Distance word problems are a common type of algebra word problems. They involve a scenario in which you need to figure out how fast, how far, or how long one or more objects have traveled. These are often called train problems because one of the most famous types of distance problems involves finding out when two trains heading toward each other cross paths

S= 2LW + 2LH + 2WH
solve for W

Answers

Rewrite the equation as

2lw+2lh+2wh=a.2lw+2lh+2wh=a

Subtract

2lh

from both sides of the equation.

2lw+2wh=a−2lh

Factor

2w out of 2lw+2wh.

2w(|+h)=w−2lh

Divide each term by

2(l+h)

and simplify.

.w=a−2lh2(l+h)

Dilate the figure by the scale factor. Then enter
the new coordinates.
K = 2



Answers

Answer:

A = (-6, 4)

B = (2,2)

C =  (-2, 2)

Step-by-step explanation:

If a coordinate (x, y) is dilated by a factor of k, the resulting coordinate will be expressed as (kx, ky). Note that each coordinate is multiplied by the scale factor  Given the coordinates (-3,2),(1,1)(-1,-1), if they are dilated by a factor of 2, the resulting coordinate will be;

A = (2(-3), 2(2)) = (-6, 4)

B = (2(1),2(1)) =(2,2)

C = (2(-1), 2(-1)) = (-2, 2)

elect the correct answer from each drop-down menu.
Triangle XYZ, with vertices X(-2, 0), Y(-2, -1), and Z(-5, -2), undergoes a transformation to form triangle X′Y′Z′, with vertices X′(4, -2), Y′(4, -3), and Z′(1, -4). The type of transformation that triangle XYZ undergoes is a
.

Triangle X′Y′Z′ then undergoes a transformation to form triangle X′′Y′′Z′′, with vertices X″(4, 2), Y″(4, 3), and Z″(1, 4). The type of transformation that triangle X′Y′Z′ undergoes is a
.

Answers

Answer:

1. Triangle XYZ undergoes a translation.

2. Triangle X'Y'Z' undergoes a reflection across the x-axis

the difference of two number is 6 if the greater one is 17 find the smallest number​

Answers

Answer:

11

Step-by-step explanation:

17-6=11

big brain

Answer:

11

Step-by-step explanation:

17-11=6 the smallest number is 11

Can someone please hurry and finish this question please!!!! Will give brainliest

Answers

Answer:

2b. R line is lower.

2c. It is lower because the y-intercept is negative.

Answer: ill take one for you john

Step-by-step explanation:

the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the answer in the form a√2 + b√3 where a and b are both integers.​

Answers

The area of the cylinder is a function of its height (h) and radius, ([tex]\mathbf{4\sqrt 3}[/tex])

The exact value of h is: [tex]\mathbf{7\sqrt 2- 4\sqrt 3}[/tex]

The given parameters are:

[tex]\mathbf{Area =56\pi\sqrt 6}[/tex]

[tex]\mathbf{r=4\sqrt 3}[/tex]

The surface area of a cylinder is calculated as:

[tex]\mathbf{Area = 2\pi rh + 2\pi r^2}[/tex]

Substitute values for Area

[tex]\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}[/tex]

Divide through by pi

[tex]\mathbf{56\sqrt 6= 2 rh + 2r^2}[/tex]

Substitute value for r

[tex]\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}[/tex]

[tex]\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}[/tex]

[tex]\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}[/tex]

Collect like terms

[tex]\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}[/tex]

Make h the subject

[tex]\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}[/tex]

[tex]\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}[/tex]

Rationalize

[tex]\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}[/tex]

[tex]\mathbf{h = 7\sqrt 2- 4\sqrt 3}[/tex]

Hence, the exact value of h is: [tex]\mathbf{7\sqrt 2- 4\sqrt 3}[/tex]

Read more about surface areas t:

https://brainly.com/question/25131428

Lira has flowers. 2/9 of them are roses, and 3/7 of the remainder are sunflowers and the rest are tulips. If she has 36 tulips, how many sunflowers and roses does she have all together?

Answers

The total sunflowers and roses Lira has is 18 and 27 respectively

Let

Total flowers = x

Roses = 2/9 of x

= 2/9x

Remaining = x - 2/9x

= (9x-2x) / 9

= 7/9x

Sunflowers = 3/7 of 7/9x

= (3 × 7)/(7 ×9)x

= 21/63x

Tulips = 36

Total = roses + sunflowers + tulips

x = 2/9x + 21/63x + 36

x - 2/9x - 21/63x = 36

(63x -14x-21x) / 63 = 36

28/63x = 36

cross product

28x = 36 × 63

28x = 2268

x = 2268/28

x = 81

Therefore,

Total flowers = x

= 81 flowers

Roses = 2/9x

= 2/9 × 81

= 18 flowers

Sunflowers = 21/63x

= 21 / 63 × 81

= 27 flowers

Read More:

https://brainly.com/question/2261275

Who do you agree with? Explain why.


David states -15 divided by a negative integer will produce a positive quotient less than or equal to 15.

Lesly states -15 divided by a negative integer will produce a positive quotient greater than or equal to 15.

Answers

David Because if u divide any number has to be smaller or the same.

Which best describes the association between variables x and y

Answers

there is no association

what is 100 divided by 5, (the answer) x 3 (the answer) x 79 (the answer) - 4

NO LINKS PLEASE! First to answer correct gets Branliest!!!

Answers

Answer:

4736

Step-by-step explanation:

1) 100 divided by 5 is 20

2) 20 times 3 is 60

3) 60 times 79 is 4740

4) 4740 subtract from 4 is 4736

5) Answer is 4736

Answer:

4736

Step-by-step explanation:

5*20 = 100

20*3 = 60

60*79 = 4740

4740 - 4 = 4736

Olivia buys 0.5 pounds of ricotta cheese and 0.25 pounds of parmesan cheese. The parmesan cheese costs $5 more than the ricotta cheese. She pays a total of $9.50. What is the cost for a pound of parmesan? What is the cost for a pound of ricotta? NEED ANSWER QUICKLY.

Answers

Answer:

$16

Step-by-step explanation:

let x = cost of ricotta cheese

let x + 5 = cost of parmesan cheese

.5x + .25(x+5) = $9.5

solve this and we get x =11 (cost per pound for ricotta)

now we plug that value back into x + 5 to find the cause of the cost of parmesan cheese

11 +5 = 16y = 16

The cost of ricotta cheese will be $11. And the cost of parmesan cheese will be $16.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Olivia buys 0.5 pounds of ricotta cheese and 0.25 pounds of parmesan cheese. The parmesan cheese costs $5 more than the ricotta cheese. She pays a total of $9.50.

Let 'x' be the cost of ricotta cheese. Then the cost of parmesan cheese will be (x + 5). Then the equation is given as,

0.5x + 0.25 · (x + 5) = $9.5

Simplify the equation, then we have

0.5x + 0.25 · (x + 5) = $9.5

0.5x + 0.25x + 1.25 = $9.5

0.75x = 8.25

x = $11

Then the cost of parmesan cheese is given as,

x + 5 = $11 + 5

x + 5 = $16

The cost of ricotta cheese will be $11. And the cost of parmesan cheese will be $16.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

A fair die is rolled 10 times, what is the probability to get 4 ones.

Answers

Answer:

7/128

Step-by-step explanation:

I need help with this math problem

Answers

Answer:

F(x)=(x+6)^2

Step-by-step explanation:

Hope this helps!

1728829+5363792002×82873992892/12=?​

Answers

Answer:

Simplify the expression.

Exact Form:

111129715061983798933/3

Decimal Form:

3.70432383⋅10^19

Step-by-step explanation:

Answer:

exact form is 111129715061983798933/3

decimal form 3.70432383*10^19

Step-by-step explanation:

Please help! Will give brainliest if the answer is correct!

Answers

Answer:

74 + 43[tex]\sqrt{3}[/tex]

Step-by-step explanation:

For this problem, let's say side x is 2 + [tex]5\sqrt{3}[/tex] and side y is 7 + [tex]4\sqrt{3}[/tex].

To find the area of a rectangle, you need to multiply both height and width, and in this case, x and y.

(x)(y) = 14 + 8[tex]\sqrt{3}[/tex] + 35[tex]\sqrt{3}[/tex] + 60

= 74 + 43[tex]\sqrt{3}[/tex]

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