Find the integers m and n such that (m+n√2)(1-√2)²=-2+2√2​

Answer:

Step-by-step explanation:Let our two numbers be  a  and  b . Then we can see that  a+b=8  and  ab=15 . Now consider

(a+b)3=a3+3a2b+3ab2+b3  by the binomial expansion. Now we have all the information to solve this, observe since  a+b=8  and  ab=15 . We have

(8)3=a3+3ab(a)+3ab(b)+b3  

a3+b3+3ab(a)+3ab(b)=83  

a3+b3+3ab(a+b)=83  

a3+b3=83−3ab(a+b)  

a3+b3=83−3(15)(8)=512−360=152  

You can also observe that  3  and  5  fulfill those conditions so, then  33+53=27+125=152 . Which is our result.

Answer:

The answer is C/85,000

Step-by-step explanation:

Answer:

m=10

Step-by-step explanation:

add 2 on both sides then divide both sides by -7

Answer:

10

Step-by-step explanation:

-7m-2=-72

-7m-2+2=-72+2

-7m=-70

-7m/-7=-70/-7

m=10

Answer:

33.4

Step-by-step explanation:

tanα = [tex]\frac{opp}{adj}[/tex]→[tex]tan 50^{o} = \frac{x}{28}[/tex]

x = 28 tan 50° = 33.4

Answer:

The value of missing x = 33.37 units

Step-by-step explanation:

Given

Ф = 50°

We know that

tan Ф = opposite/adjacent

Here:

opposite = x

adjacent = 28

so

tan Ф = opposite/adjacent

tan 50 = x/28

x = 28 × tan 50

  =33.37

Therefore, the value of missing x = 33.37 units.

Answer:

[tex]v_x=v\:cos\:\theta \:[/tex]

   [tex]=-10.7294[/tex]

[tex]v_y=v\:sin\:\theta \:\:[/tex]

    [tex]=-16.5218[/tex]

Step-by-step explanation:

Let 'v' be the vector

The equation of the horizontal component is:

[tex]v_x=v\:cos\:\theta \:[/tex]

The equation of the vertical component is:

[tex]v_y=v\:sin\:\theta \:\:[/tex]

As

The horizontal component will be:

[tex]v_x=v\:cos\:\theta \:[/tex]

    [tex]=\left(19.7\right)\cos \left(237^{\circ \:}\right)[/tex]

     [tex]=-10.7294[/tex]

The vertical component will be:

[tex]v_y=v\:sin\:\theta \:\:[/tex]

    [tex]=19.7\sin \:\left(237^{\circ \:\:}\right)[/tex]

    [tex]=-16.5218[/tex]

Answer:

DE, BC, BA, CA

Step-by-step explanation:

basically just find the ones that do not cross and those are parellel.

Answer:

-2

Step-by-step explanation:

8-10 = -2

20-19 = 1

-2/1 = -2

Answer:

-2

Step-by-step explanation:

Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} -x_{1} }[/tex] Where y2 is 8 and x2 is 20 and y1 is 10 and x1 is 19

So 8 - 10 = -2

And 20 - 19 = 1

-2 divided by 1

It is -2.

HOPE THIS HELPED

Answer:

Solution :-

To find the least number which when divided by 6, 15 and 18 leaves a remainder 5 in each case, we have to find the L.C.M. of 6, 15 and 18 and then add 5 in that number.

L.C.M. of 6, 5 and 18  

6 = 2*3

15 = 3*5

18 = 2*3*3

L.C.M. of 6, 15 and 18 = 2*3*3*5 = 90

Now,  

5 + 90 = 95

Hence, 95 is the least number which when divided by 6, 15 and 18 leaves a remainder 5 in each case.

Let us check our answer.

1) 95/6

Quotient = 15

Remainder = 5

2) 95/15

Quotient = 6

Remainder = 5

3) 95/18

Quotient = 5

Remainder = 5

So, the required number is 95.

Answer.

Step-by-step explanation:

9514 1404 393

Answer:

  a)  3.491 in/s

  b)  3.333 RPM

  c)  0.349 rad/s

Step-by-step explanation:

We know the arc length for a given radius and angle is ...

  s = rθ

so the linear speed along the arc is ...

  s' = rθ' = (10 in)(20π/180 rad/s) = 10π/9 in/s ≈ 3.491 in/s

__

The rotation rate of 20°/s is an angular velocity of ...

  (20°/s)(60s/min)(1 rev/360°) = 3.333 RPM

__

In the first part, we found the angular speed to be π/9 radians/sec. That's about ...

  π/9 rad/s ≈ 0.349 rad/s

Answer:

3(3px + 4y)(3px - 4y)

Step-by-step Explanation:

This is the answer because:

1) We can factor using the difference of squares formula.

2) a^2 − b^2 = (a + b) (a − b) where a = 3px and b = 4y .

Hope this helps!

Answer:

Step-by-step explanation:

6.7578 *x = 13 divide both sides by 6.7578

[tex]\frac{6.7578}{6.7578} *x = \frac{13}{6.7578}[/tex]

x= 1.923

Answer:

x= 1/5y +1/5 have a good day whoever you are :D

Step-by-step explanation:

Step 1: Flip the equation.

5x−5=y−4

Step 2: Add 5 to both sides.

5x−5+5=y−4+5

5x=y+1

Step 3: Divide both sides by 5.

5x /5 = (y+1) /5

x= 1/5y +1/5

Answer:

5x-y=-1

Step-by-step explanation:

y-4=5x-5

take 5x on the other side and also take -4 on the other side . the numbers must change sines when they go on there other side

-5x+y=-5+4

-5x+y=-1

divide both sides by -1

5x-y=1

Answer:

x-y=0

Hope this helped

Answer:

C

Step-by-step explanation:

Answer:

in simplest terms 10 decreased by twice A can be written as

10-2a

Step-by-step explanation:

Answer:

I believe the answer is C. Rotation

Step-by-step explanation:

I used google to look up a example for each answer and this image looks to be a Rotation

Answer:

3. markup: $150

selling price: $300

4. markup: $19.20

selling price: $67.20

5. markup: $55

selling price: $165

6. markup: $90

selling price: $450

7. markup: $3.75

selling price: $16.25

8. markup: $7.14

selling price: $27.54

Step-by-step explanation:

To find the markup of an item you multiply the initial value of the item by the percentage it's being marked up by. To find the selling price, you add the markup to the initial value. Let's use question 3 as an example:

3. The recliner is being marked up by 100%. To find the markup, we can convert 100% into decimal form and then multiply it by the initial value 150:

100% = 1

150 * 1 = 150

The markup is 150.

To find the selling price we add the markup to the initial value:

150 + 150 = 300

The selling price is 300.

I applied this method to all of the questions.

Answer:

z=44/3

Step-by-step

Subtract the numbers 52-12=40

3z-4=40

Add 4 to both sides

3z-4+4=40+4

SImplify

3z=44

Divide both sides by 3

3z/3 = 44/3

z=44/3 or decimal form= 14.66

Answer:

Break-even point in units= 25

Step-by-step explanation:

Giving the following information:

Fixed cost= $100

Unitary variable cost= $20

Selling price per unit= $24

To calculate the break-even point in units, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 100 / (24 - 20)

Break-even point in units= 25

Answer:80 cent

Step-by-step explanation:

Answer:

4 ≥ g

Step-by-step explanation:

Since 4 x 5=20 I started there and went one less because of the .95¢

so I started with the equation 4.95 x 4 which got the product $19.80 and I know that's as high as we can go within 20.

We also know she could play less than 4 games and stay within budget so that's why I used the ≥. You could also divide 20 by 4.95 for a quick and easy answer :)

Answer:

0.6 miles

Step-by-step explanation:

Given that,

A biking track has a length of 3168 feet (ft).

We need to find the distance in miles.

We know that, 1 mile = 5280 foot

1 feet = (1/5280) mile

Now, we can find the distance in miles by multiplying 3168 by (1/5280).

[tex]d=3168 \times \dfrac{1}{5280}\\\\=0.6\ \text{miles}[/tex]

So, the distance covered is 0.6 miles.

????????????????????????

Answer:

YES i think

Step-by-step explanation:

Answer:

5. Yes 6. No 7. No 8. Yes 9. No 10. No

For graphs, if two points are in the same vertical line, its not a function. For the bubble chart, if an x coordinate points to more than one y coordinate, its not a function, and for just some written out coordinates, if any of the x coordinates repeat, its not a function

Answer:

70

Step-by-step explanation:

The number of butterfly notebooks should they order this month approximately will be 43.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The Miracle Wings Bug Exhibition hall sells bug-formed scratch pads in their gift shop. Last month, they sold 35 butterfly notepads and 55 ladybug journals.

The ratio of butterfly notebooks and ladybug notebooks will be given as,

⇒ 35 / 55

⇒ 7 / 11

The scratch pad was well known to the point that they believe should arrange more this month. They intend to arrange 110 ladybug notepads this month.

Let 'x' be the number of butterfly notebooks. Then the number of ladybug notebooks will be (110 - x).

If they keep the same ratio. Then the value of 'x' is given as,

x / (110 - x) = 7 / 11

11x = 770 - 7x

18x = 770

x = 42.77

The number of butterfly notebooks should they order this month approximately will be 43.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

Answer:

2401

Step-by-step explanation:

7^4

7 • 7 • 7 • 7

49 • 49

2401

Answer:

2401

Step-by-step explanation:

Pretty sure this is the answer. Have a good day!

Answer:

Option B. 3/4 > 2/3 is the correct answer.

Step-by-step explanation:

Lets look at the options one by one

A. 1/2 < 1/3

This inequality converts into 0.5<0.33 which is false.

B. 3/4 > 2/3

This simplifies to 0.75>0.666 which is true.

C. -1/4 < - 2/3

This converts to -0.25<-0.666 which makes the inequality false.

D. -1 > 3/4​

This converts to -1>0.75 which makes the inequality false.

Hence,

Option B. 3/4 > 2/3 is the correct answer.

Answer:

Option C. -1/4 < - 2/3 is the correct answer.

-1/4 equals -3/12

-2/3 equals -8/12

So, it is -2/3 is greater

Answer:

7.78

Step-by-step explanation:

Answer:

O 7.78

Step-by-step explanation:

Have a wonderful day:)