perform the following operation and express the answer in scientific notation 3.60x10^-12+3.60x10^-11

Answer:

(x - 4)^2 - 11

Step-by-step explanation:

Here, the question asks you to complete the square. The steps to do so are the following:

ax^2 + bx + c = a(x - b/2 x)^2 -(b/2)^2 + c

1. halve the x coefficient and put it with x as a binomial squared

2. minus the new coefficient squared

3. collect like terms

so let's do it for this question:

x^2 - 8x + 5

step 1:

half of -8, is -4, so we'll get:

= (x - 4)^2 + 5

However this isn't equal to x^2 - 8x + 5, but to x^2 - 8x + 16 + 5. Therefore we must get rid of 16 (step 2). You will notice 16 = (-4)^2 (from the first formula I gave.)

= (x - 4)^2 - 16 + 5

step 3:

= (x - 4)^2 - 11

Answer:

(x - 4)² - 11

Step-by-step explanation:

x² - 8x + 5

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 8x

x² + 2(- 4)x + 16 - 16 + 5

= (x - 4)² - 11

Answer:

[tex]D.\:\left(x-3\right)\left(x+6\right)[/tex]

Step-by-step explanation:

[tex]x^2 + 3x - 18[/tex]

[tex]\left(x^2-3x\right)+\left(6x-18\right)[/tex]

[tex]\left(x^2-3x\right):x\left(x-3\right)[/tex]

[tex]\left(6x-18\right):6\left(x-3\right)[/tex]

[tex]x\left(x-3\right)+6\left(x-3\right)[/tex]

Factor, common term:- x-3

[tex]\left(x-3\right)\left(x+6\right)[/tex]

~

Answer:

The first statement is correct(15+(-7)+4+8)=20

Answer:

the answer is 2.83 miles per hour

Answer:

3 pairs for $71 makes each pair about $23.67.

8 pairs would be around $189.36.

(I rounded to the nearest hundredth since the problem is about money and rounding to the second decimal place is standard.)

Answer:

the first 3 options

Step-by-step explanation:

given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

13[tex]\sqrt{2}[/tex] - 5[tex]\sqrt{2}[/tex] < x < 13[tex]\sqrt{2}[/tex] + 5[tex]\sqrt{2}[/tex]

8[tex]\sqrt{2}[/tex] < x < 20[tex]\sqrt{2}[/tex] ( converting to decimal )

11.3 < x < 28.3

3 possible lengths for XZ are then values

11.5 cm , 13 cm , 18.5 cm

the other options are out with the range

Compare both pairs

[tex]\\ \rm{:}\dashrightarrow 8q-2=6[/tex]

[tex]\\ \rm{:}\dashrightarrow 8q=6+2[/tex]

[tex]\\ \rm{:}\dashrightarrow 8q=8[/tex]

[tex]\\ \rm{:}\dashrightarrow q=\dfrac{8}{8}[/tex]

[tex]\\ \rm{:}\dashrightarrow q=1[/tex]

And

[tex]\\ \rm{:}\dashrightarrow 2-7p=p+6[/tex]

[tex]\\ \rm{:}\dashrightarrow 2-6=8p[/tex]

[tex]\\ \rm{:}\dashrightarrow p=-1/2[/tex]

Answer:

x = 0, y = - 100

Step-by-step explanation:

So plug in the points you have which is x = 0.

50(0) + y = -100

0 + y = -100

y = -100

So, x = 0, y = - 100

Answer:

All you have to do is image flipping the triangle on the right over and then you'll see they are equal. You can also look at AB and DE and see they both are right angles.

Step-by-step explanation:

Answer:

A, E, F

Step-by-step explanation:

Answer:

I'm not sure if it's .45 or just 45 so I'll do both

0.45 x 120 = 54

45 X 120 = 5400

I don't think a person would weigh 5400kg

The total amount of paint needed is 15 quart and it cost $41.25.

An equation is an expression that shows the relationship between two or more variables and numbers.

0.0015 quart of paint to cover 1 square inch.

Let the area of the rectangle be 10000 in², hence:

Amount of paint = 0.0015 quart per in² * 1000 in² = 15 quart

Cost of paint = $2.75 per quart *  15 quart = $41.25

The total amount of paint needed is 15 quart and it cost $41.25.

Find out more on equation at: https://brainly.com/question/2972832

Answer:

-2 ≥ y

Step-by-step explanation:

-5y-8≤2

   +8 +8

—————-

-5y≤10

——-—-

-5     -5

————-

y ≤ -2

change sign

-2 ≥ y

The product of (2x+y) and (5x-y+3) is (10x²+3xy+6x-y²+3y).

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The product of the two given polynomial (2x+y) and (5x-y+3), can be written as,

[tex](2x+y) (5x-y+3)\\\\= 10x^2-2xy+6x+5xy-y^2+3y\\\\=10x^2-2xy+5xy+6x-y^2+3y\\\\=10x^2+3xy+6x-y^2+3y[/tex]

Hence, the product of (2x+y) and (5x-y+3) is (10x²+3xy+6x-y²+3y).

Learn more about Polynomial:

https://brainly.com/question/17822016

Answer:

10, 3, 6, -1, 3

Step-by-step explanation:

Answer:

if you know why do that but the answer is

36

I know I would like to do that too but that's wrong even if you are New to brainly

Answer:

the cost price of manufacturer = RS. 14.80

Step-by-step explanation:

the retailers profit = profit percent of sold amount

= 25% of 30.09

= 25/100 × 30.09

= 7.5225

here, the cost price of retailer =

sold amount- profit amount

or, CP = 30.09 - 7.5225

= 22.5675

now, profit of whole seller =

profit% of sold amount

or, 20% of SP

20/100 × 22.5675

= 4.5135

CP = SP - Profit

or, CP = 22.5675- 4.5135

CP = 18.054

now, profit of manufacturer = profit℅ of SP

= 18% of 18.054

= 18/100 × 18.054

= 3.24972

or, CP of manufacturer = SP - profit amount

= 18.054 - 3.24974

= 14.80428

Therefore, cost price of manufacturer = 14.80

Hey there!

2/3x + 5 = 1

SUBTRACT 5 to BOTH SIDES

2/3x + 5 - 5 = 1 - 5

SIMPLIFY IT!
2/3x = 1 - 5

2/3x = -4

MULTIPLY 3/2 to BOTH SIDES

2/3x * 3/2 = -4 * 3/2

SIMPLIFY IT!

x = -4 * 3/2

x = -6

Therefore, your answer is: x = -6

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

2/3x + 5=1

To solve for x, we must isolate it by administering inverse operations.

In this equation, we can see 2/3x is being added to 5.

We should discard the constants first.

The inverse operation of addition, is subtraction.

So we subtract 5 from both sides;

-5        -5

2/3x = -4

Now, we are left with a coefficient, so to get rid of the coefficient we utilize the inverse operation of multiplication, which is division.

Dividing by 2/3 is the same as multiplying by 3/2.

So multiply both sides by 3/2;

*3/2    *3/2

x = -4(3)/2

x = -12/2

x = -6

The value of the expression is 6.87 x 10⁹.

The value of the given expression is calculated as follows;

(PV⁷) /(5P)

where;

The value of the expression is obtained when the given value is substituted as shown below;

(PV⁷) /(5P) = (6 x 32⁷) / (5 x 6)

                 = 32⁷/5

                 = 6.87 x 10⁹

Thus, the value of the expression is 6.87 x 10⁹.

Learn more about substitution method here: https://brainly.com/question/22340165

Answer:

5/7 -2/4

5×4-2×7/28

20-14/28

6/28

0.21

Answer:

Step-by-step explanation:

w (width) = 32/8

w = 4

p (perimeter) = 2w + 2l

p = (2 x 4) + (2 x 8)

p = 8 + 16

p = 24

Answer:

It is surely 16mm2, because a cube is always two-dimensional.

Step-by-step explanation:

This means that it has to be a value with mm2!

Hope I helped!

Answer:

calculate the value of × if :

72:64=×:16

12 divided by 3 is 4;but, what is the sum of c mean

Answer:

C

Step-by-step explanation:

When solving these problems with right triangles you gotta always equal 180 35 plus 90 plus 55 will equal 180

Answer:

Step-by-step explanation:

∠B+∠A=90

∠B+35=90

    -35   -35

∠B = 55

~

Answer:

i'm going to say 12 if i'm wrong i'm sorry

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

Read a book = 16%

Listen to music = 28%

We can read the question in different ways:

1.  The simple difference between the two is 12%

2.  Out of the sample, the two groups include:

    15 chose books

    35 chose music

    Within this sample of 50 teenagers,

           (15/50) or 30% chose books, and

            (35/50) or 70% chose music

             That makes a difference of 40%

I would chose the first interpretation, 12%  [Especially since 40% is not an option.]

Answer:

6

Step-by-step explanation:

as we know the distance formulae root under x2 minus x1 whole square + y2 minus y1 whole square

Answer:

-12; 5

Step-by-step explanation:

x^2 + 7x - 60 = 0

D = b^2 - 4ac

D = 7 * 7 + 60 * 4 * 1 = 289

sqrt(D) = sqrt(289) = 17

x₁ = (-b - √D) / 2a = (-7 - 17) / 2 = -24 / 2 = -12

x₂ = (-b + √D) / 2a = (-7 + 17) / 2 = 10 / 2 = 5

Answer:

here is your answer

944 sq.in.

hope u understand

mark as brilliant and follow pls