1.Find the rate in the unit given, 78 liters in 2 hours (liters per hour) ?

Answer:

Step-by-step explanation:

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Consider,

[tex]\rm \longmapsto\:\dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } [/tex]

On taking LCM, we get

[tex]\rm \:  =  \: \dfrac{ {( \sqrt{7} + i \sqrt{3})}^{2} + {( \sqrt{7} - i \sqrt{3})}^{2} }{( \sqrt{7} + i \sqrt{3})( \sqrt{7} - i \sqrt{3})} [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}}} \\ [/tex]

and

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}} \\ [/tex]

So, using these Identities, we get

[tex]\rm \:  =  \: \dfrac{2\bigg[ {( \sqrt{7})}^{2} + {(i \sqrt{3}) }^{2} \bigg]}{ {( \sqrt{7}) }^{2} - {(i \sqrt{3})}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{2(7 + 3 {i}^{2})}{7 - {3i}^{2} } [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1}}} \\ [/tex]

So, using this, we get

[tex]\rm \:  =  \: \dfrac{2(7 - 3)}{7 + 3} [/tex]

[tex]\rm \:  =  \: \dfrac{2 \times 4}{10} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{5} [/tex]

Hence,

[tex] \red{\rm\implies \:\boxed{\sf{ \dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } \: is \: purely \: real}}}[/tex]

Answer:

482.3

Step-by-step explanation:

because 137.8 times 3.5 is

482.3

Answer:

x=21

Step-by-step explanation:

[tex]x-5=16[/tex]

[tex]x-5+5=16+5[/tex] (Add 5 to bth sides)

[tex]x=21[/tex]

Up 8 Units, Hope this helps :)

Answer:

27 x^( 6 )y^( 9)

Step-by-step explanation:

Answer:

f(m) = -9

Step-by-step explanation:

We replace m with 5 in the function.

f(m) = 1 - 4(m/2) becomes f(5) = 1 - 4(5/2)

then we solve the numbers in the parenthesis first

= 1 - 4 (5/2)

= 1 - 4 (2.5)

= 1 - 10

= -9

Answer:

1/274

Step-by-step explanation:

Solution 1: Use a fraction simplifier calculator :)

Solution 2: divide by 2 first, then test to find 13, and your there.

Answer: There are two answers ( just for explanation ) 1. 0.0036496350364964    2. 274

Step-by-step explanation:

1. If we do 26 divided by 7124 answer is = 0.0036496350364964  ( check the pic-div1, div2, div3 )

2. If we do 7124 divided by 26 answer is = 274 (check pics-div4, div5)

Answer:

-10 × -10= 100

dkfofjdnrjf

Answer:

Perimeter = 18m

Area = 18m²

Step-by-step explanation:

On a rectangle, opposite sides have equal lengths. This means to find the perimeter you would do (3 × 2) + (6 × 2) which is 6 + 12 = 18

The perimeter is 18m

To find the area, you would do length × width. The length is 6 and the width is 3 so 6 × 3 is 18

The area is 18m²

Hope this helps!

Answer:

x= 55

y=125

Step-by-step explanation:

y = 180 - 55

hope it's correct

Answer:

13.125 meters

Step-by-step explanation:

7/8 times 15

Answer:

$199.4 in four days

$49.85 in one day

Step-by-step explanation:

249.25 / 5  =49.85

49.85 x 4 = 199.4

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The amount that Tom makes in 4 days is $199.4.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Tom makes $249.25 in 5 days. Therefore, the amount that Tom makes in a day is,

Amount Tom makes in a day = $249.25 / 5 days

                                                = $49.85 per day

The amount of money that Tom can make in 4 days is,

Amount = $49.85 per day × 4 days

              = $199.4

Hence, the amount that Tom makes in 4 days is $199.4.

Learn more about Multiplication here:

https://brainly.com/question/14059007

#SPJ2

Answer:

they are correct

Step-by-step explanation:

Answer:

317m

Step-by-step explanation:

I am not sure its the perimeter (p) you need because thats what i understood.

p=2(109.7)+2(48.8)=317m

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Cost price of the T.V. is :

The scooter cost him :

The solution is in attachment ~

Answer:

x = 16

Step-by-step explanation:

m<B+m<C+m<D = 180°

5x + 14 + x + 19 + 2x + 19 = 180

8x + 52 = 180

8x = 180 - 52

x = 128/8

x = 16

Answer:

32

Step-by-step explanation:

Answer:

44.785

Step-by-step explanation:

9514 1404 393

Answer:

  A) W'(-4, 2), ...

Step-by-step explanation:

Put the values of x and y in the translation relation to see what the translated point's coordinates are.

  (x, y) ⇒ (x -7, y +4)

  W(3, -2) ⇒ W'(3 -7, -2 +4) = W'(-4, 2) . . . . . . . . matches only choice A

Answer:

correct option is f(x,y) -----> ( -y,x) option 1.

Answer:

correct option is f(x,y) -----> ( -y,x) option 1.

Step-by-step explanation:

Answer:

The answer will be -5

You are welcome:)

Step-by-step explanation:

Using complex numbers concepts, it is found that the statement is false.

When a complex number is a root of a polynomial function, it's conjugate also has to be.

In this problem:

The conjugate of -3 + 7i also has to be a root, which would make the polynomial of the 5th degree, as it would have 5 roots, thus, the statement is false.

A similar problem is given at https://brainly.com/question/24450834

Answer:

15_789(0)

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

Answer:

None

Step-by-step explanation:

It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0

Answer:

The smallest degree is15°

Answer:

-32

Step-by-step explanation:

hope this helps you with the question

0.76                 19 divided by 27= 0.76