What are benefits of good study habits? Check all that apply.
improved academic performance
reduced stress
better performance in extra-curricular activities
remembering information
O an effective use of time



Electives class

Answer:

sqrt(i) =0.707106781 + 0.707106781 i

Most of the numbers we know, and work with, are Real Numbers. The Real Number System includes counting numbers, fractions, terminating decimals, positive numbers, negative numbers, zero, repeating decimals, never ending and non-repeating decimals, numbers that are expressed as radicals, and even pi (π).

The natural numbers are the set of counting numbers

• There are infinitely many numbers in a set of numbers.

• The natural numbers are "closed" under addition and multiplication.

The addition of two natural numbers creates another natural number.

The multiplication of two natural numbers creates another natural number.

closed under addition and multiplication.

BUT ...

The subtraction of two natural numbers does NOT necessarily create another natural number

The division of two natural numbers does NOT necessarily create another natural number  

The whole numbers are the set of counting numbers (natural numbers) along with zero

• There are infinitely many numbers in this set of numbers.

• The set of whole numbers is "closed" under addition and multiplication.

Integers:

• The integers are the set of all of the natural numbers,

    plus their additive inverses and zero

• The integers are "closed" under addition, multiplication and subtraction,

    but NOT under division

Rational Numbers:

• The rational numbers are the set of numbers which can be expressed as a ratio

    (a fraction) between two integers.

• Integers are rational numbers since 5 can be written as the fraction 5/1.

• Decimals which terminate are rational numbers.

• Decimals which have a repeating pattern are rational numbers. 1/3 = 0.3333333...

• The rational numbers are "closed" under addition, subtraction, and multiplication. Under division, we run into the problem of division by 0, which makes the statement that "the rationals are closed under division" false. Some texts state that "the rationals are closed under division as long as the division is not by zero" which is a true statement.

Irrational Numbers:

The irrational numbers are the set of number which can NOT be written as a ratio (fraction).

• Decimals which never end nor repeat are irrational numbers.

• Irrational numbers are "not closed" under addition, subtraction, multiplication or division.

• Examples of irrational numbers: rad2, π

This is figured out by first figuring out that:

√(√(i)) = [tex]i^{1/4\\}[/tex]

Let [tex]\sqrt{i}[/tex] be a + b[tex]i[/tex].

Square both sides to get [tex]i[/tex] = (a + b[tex]i[/tex])(a + b[tex]i[/tex])

So, [tex]i[/tex] = a² - b² + 2ab[tex]i[/tex]

a² - b² is the real part. The real part is 0.

0 + [tex]i[/tex] = a² - b² + 2ab[tex]i[/tex]

a² - b² = 0

[tex]i[/tex] = 2ab[tex]i[/tex]

2ab = 1

ab = 1/2

b = 1/2a

Now, since a² - b² = 0,

a² - (1/2a)² = 0

a² - 1/(4a²) = 0

[tex]\frac{(4a^{4}-1 )}{4a^{2} }[/tex] = 0

That means the numerator MUST be 0.

[tex](4a^{4}-1 )}[/tex] = 0

[tex]4a^{4}[/tex] = 1

[tex]a^{4}[/tex] = 1/4

a = ± [tex]\frac{1}{\sqrt{2} }[/tex]

if a = [tex]\frac{1}{\sqrt{2} }[/tex] , then b = [tex]\frac{1}{\sqrt{2} }[/tex]

If a = -[tex]\frac{1}{\sqrt{2} }[/tex] , then b = -[tex]\frac{1}{\sqrt{2} }[/tex]

So, it's either a = -[tex]\frac{1}{\sqrt{2} }[/tex]  and b = -[tex]\frac{1}{\sqrt{2} }[/tex] , or a = [tex]\frac{1}{\sqrt{2} }[/tex]  and b = [tex]\frac{1}{\sqrt{2} }[/tex]

That's why sqrt(i) =0.707106781 + 0.707106781i, or sqrt(i) = -0.707106781 - 0.707106781i

Answer:

a) 300m

b) 15 miles

Step-by-step explanation:

a) 1 : 30 000

=  1x 30 000

=  30 000cm

=  30 000cm/ 100                           Representing in metres

=  300m

b) 1 : 6

=  1x 2.5 : 6x 2.5

=  2.5 : 15

=  15 miles

Answer:

x1=-1/97/12xx2=1 1=/97/12

Step-by-step explanation:

       2

X=6x^2+4=0

-6x2^-x+4=0

Answer: D) y ≤ 5/2x + 5

The slope is 5/2 and the y-intercept is 5. The area shaded should be to the right of the line because it is less than or equal to.

Hope this helps!

Answer:

Commutative Property

Step-by-step explanation:

The commutative property shows two values or equations that are similar, but in a different order.

Examples:

3 + 4 = 4 + 3

5x + 2h = 2h + 5x

Answer: 0ft < X ≤ 5.73ft

Step-by-step explanation:

In this case, we have a rectangle.

For a rectangle of length L and width W, the area is:

A = L*W.

And we have:

L = X

W = X  + 3ft.

Then the area will be:

A = X*(X + 3ft) = X^2 + 3ft*X.

And we want to have a maximum area of 50ft^2.

Then we can write:

A = X^2 + 3ft*X ≤ 50ft^2

Now let's solve this for X.

Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.

Then makes sense start for the upper limit of X, this is when:

X^2 + 3ft*X = 50ft^2.

Now we can solve the quadratic equation:

X^2 + 3ft*X - 50ft^2 = 0

Applying the Bhaskara formula, the solutions are:

[tex]X = \frac{-3ft +- \sqrt{(3ft)^2 - 4*1*(-50ft^2)} }{2} = \frac{-3ft +-14.46ft }{2}[/tex]

Then we have two solutions:

X = (-3ft - 14.46ft)/2 = -8.73 ft.

X = (-3ft + 14.46ft)/2 = 5.73 ft

Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.

This is the maximum value of X, and we will have:

0ft < X ≤ 5.73ft

Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.

Answer:

10,800

-1200

Step-by-step explanation:

Given that :

40 units of maple sap = 1 ounce of maple syrup

Using a 20 - ounce bottle, 2 ounces of air is left

Ounces of actual syrup = (20 - 2) = 18 ounces

Number of maple sap required to fill 15 bottles :

Number of maple saps required to fill 18 ounces bottle :

40 units = 1 ounce

x = 18 ounces

Hence, for 18 ounces of maple syrup :

(40 * 18).= 720 units of maple sap

For 15 bottles of 18 ounces maple syrup:

(720 * 15) = 10,800 units of maple sap

If they had filled each bottle to the top:

(40 * 20 * 15) = 12000 units of maple sap

10,800 - 12000 = - 1200 units of maple sap

Answer:

7060                                                                                                         Step-by-step explanatiojo:

m1=51

m2=18

m3=123

m4=39

***remember the 180 rule, and supplementary/complementary angles!

180 rule: all triangle's internal angles add up to 180, this means if you know any two angles you can always find the last one

supplementary angles:

angles that add up to 180, 180 is a straight line so they can be found on almost all triangle problems.

if there is a straight line and you know one of the angles that is on the line, you can find the other one by subtracting it from 180

complementary angles:

same thing ^ but with 90

i hope my explanations make sense! let me know if you have any more questions :)

Answer:

The tax is 2.28

Step-by-step explanation:

Take the cost of the shoes and multiply by the tax rate

35 * 6.5%

Change to decimal form

35 * .065

2.275

Round to the nearest cent

2.28

The tax is 2.28

Answer:

Step 1

Write and solve the inequality:

2,500 + 40a ≥ 4,000, or 40a ≥ 1,500

a ≥ 37.5

Step 2

If the shelter places 30 cats and 10 dogs,

or 40 animals, that will be enough to meet

its goal, because a = 40 is a solution to the

inequality a ≥ 37.5.

Answer:

6 times

Step-by-step explanation:

Given the proportuonal relationship between exists between the number times Linda pedals (x) and the number of times wheels rotate (y) as ;

y = 3x

How many times do the wheels rotate when Linda pedals 2 times

Here, x = 2

From ; y = 3x

y = 3(2) = 6

Hence, wheel rotates 6 times.

Answer:

Step-by-step explanation:

Answer:

yes you should be surprised

Answer:

$30

$90

Step-by-step explanation:

Given parameters:

    Selling price of belt = $120

     Percentage discount = 25%

Unknown:

Discount = ?

Sale price of the dress  = ?

Solution:

Discount is a reduction in the price of a commodity.

     Discount  = percentage discount x selling price of belt

 Input the parameters and solve;

I.    Discount  = [tex]\frac{25}{100}[/tex] x 120 = $30

II. Sale price of the dress;

               = selling price - discount amount

                 = $120 - $30

                  = $90

Answer:

Number of students in each group = 8

Step-by-step explanation:

kevin and monica led the same number of vistors.

Let x = number of students in each group

Kevin lead 150 adults, plus 6 student groups.

150 + 6x

Monica led 134 adults, plus 8 student groups.

134 + 8x

Equate both equations

150 + 6x = 134 + 8x

Collect like terms

150 - 134 = 8x - 6x

16 = 2x

Divide both sides by 2

x = 16 / 2

= 8

x = 8

Number of students in each group = 8

Answer:

$12.84

Step-by-step explanation:

Start by dividing 12 by 100 to get 0.12 to get 1% of the price of the ant farm.

Then multiply 0.12 by 107 to get the price + tax.

You'll end up with 12.84.

Then just add your units to get $12.84.

Answer:

y = x + 3

y = 5x + 13

Answer:

14

Step-by-step explanation

you start at 7$ then you add 2$ per cookie to get the total in this case you can fit 14 cookies for 35$

Answer: 0.08

Dont belive the dummy that said 0.30

Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

Given information:

Antonio's dad bought gas for their family's ATV two weeks in a row.

Last week, he bought 12 gallons for $35.40.

This week, he bought 9 gallons for $25.83.

So, the cost of one gallon for last week is,

[tex]\dfrac{35.40}{12}=2.95\$\rm\;per\;gallon[/tex]

The cost of one gallon for this week is,

[tex]\dfrac{25.83}{9}=2.87\$\rm\;per\;gallon[/tex]

So, the extra charge paid by his dad for the last week for one gallon will be,

[tex]2.95-2.87=0.08\$\;\rm per\;gallon[/tex]

Therefore, Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

For more details, refer to the link:

https://brainly.com/question/13599569

1)x+30=40

x=40-30

Answer :x=10

2)30-20+2x=10

10+2x=10

2x=0

Answer: x=0

3)3x-10+13=-2x+28

3x+3=-2x+28

3x+2x+3=28

3x+2x=28-3

5x=28-3

5x=25

x=5

4)13x-23-45=-7x+12

13x-68=-7x+12

13x+7x-68=12

13x+7x=12+68

20x=12+68

20x=80

x=4

5)2(x+4)=10x+24

2x+8=10x+24

2x-10x+8=24

2x-10x=24-8

-8x=24-8

-8x=16

x=-2

6)3(x-5)=1-(2x-4)

3x-15=1-(2x-4)

3x-15=1-2x+4

3x-15=5-2x

3x+2x-15=5

3x+2x=5+15

5x=5+15

5x=20

x=4

7)5x-10=15

5x=15+10

5x=25

x=5

8)x+4=x+6

4=6

no solution

PLEASE MARK ME AS BRAINLIEST

Answer:

(4x - 10) + x = 90 degrees

x = 20

Answer:

A=250

B=10

Step-by-step explanation:

You plug in 10 for x and solve

Answer:

1. A is congruent to C

2. Given

3. I think line ac is congruent to line ce, don't know the options

4. angle ABC is congruent to angle DCE

5. Possibly vertical angles

Answer:

808

Step-by-step explanation:

Answer:

2.32

Step by Step Explanation:

5 and above, Give it a shove

1 rounds to 2 because of the 7

2.317 = 2.32

Answer:

Ok, so first, at the end of the equation, It says "+ 4" , right? So you put a point on positive 4 on the y-axis (the one that goes up and don, the vertical line.). Then, 2x means that's your slope, but since your graph only goes up to five, you gotta count down ward. So, go down from your point on the y-axis (4) twice and over to the LEFT (<--) once. Plot your point where you end up. then use a straightedge like a ruler, and connect your two points on the graph, and you have your line!

Hope this helps!

Answer:

it is cubix 12

Step-by-step explanation:

yw hope it helps!

Answer:

9 miles, or 47520 feet :)

Step-by-step explanation:

Answer:

47520

Step-by-step explanation:

3x3=9

5280*9=47520