look at the image and please tell me if I was correct ​

Answer:

n = 8

Step-by-step explanation:

512/-4 = -128

-2^? equals -128? Has to be odd since it's negative

-2^1 = -2

-2^3 = -8

-2^5 = -32

-2^7 = -128

But it's -2^n-1 = -128 so you have to add 1

7+1 = 8

So n=8

Answer:

n = 8

Step-by-step explanation:

Rearrange the equation to find n:

512/-4 = [tex](-2)^{n-1}[/tex]

-128 = [tex](-2)^{n-1}[/tex]

[tex](-2)^{7}[/tex] = -128

So, n-1 = 7

n = 8

The full workings for the house purchase you made on a mortgage are as follows:

1. Price of House = $499,000 (given)

2. Down Payment = $99,800 ($499,000 x 20%)

3. Amount Financed (Mortgage principal) = $399,200 ($499,000 - $99,800).

4. Monthly Payment = $2,522.94 (given)

5. Number of monthly payments = 360 months (30 x 12)

6. Total Payback = $908,258.40 ($2,522.94 x 360)

7. Total Interest = $509,058.40 ($908,258.40 - $399,200)

8. Assessed Valuation = $199,600 ($499,000 x 40%)

9. Real Estate Taxes (annual) = $6,047.88 ($199,600 x $3.03/$100)

10. Escrow Payment Per month (taxes & insurance) = $628.99 ($6,047.88 + $1,500)/12

11. Monthly Payment to lender (escrow + mortgage) = $3,151.93 ($628.99 + $2,522.94)

A mortgage is a loan arrangement that allows a borrower to buy some property, usually a house, without paying for the full cost immediately.

The borrower then makes a monthly payment, which includes the principal and its interest.

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Answer:

36

Step-by-step explanation:

The angles of the triangle are equal.

Hence, the sides of the triangle must also be equal.

It is an equilateral triangle.

Equating JK and KL :

Finding KL :

All angles are equal means all sides are equal

KL

Answer:

Pencil will poke out everytime, no matter if it lays diagonally, or strictly vertically, because pencil's length is greater than the height and diagonal of the beaker

Answer:

The difference is 8

Step-by-step explanation:

Answer:

138, 460 m²

Step-by-step explanation:

How To Find Volume of Pyramid With Slant Height? If 'x' is the base length, 's' is the slant height, and 'h' is the height of a regular pyramid, then they satisfy the equation (the Pythagoras theorem) (x/2)2 + h2 = s2.

Answer:

14440cm3

Step-by-step explanation:

Answer:

The fourth option shows how Bruno is incorrect

Step-by-step explanation:

Multiplication does not always result in a number greater than the initial value. If n can be any value, then Bruno's claim is false. For instance, multiplying a value greater than one by a decimal will perform the inverse operation (division):

3 × 0.87 = 2.61

When multiplying fractions of 1, this occurs when the multiplied number is greater than the multiplier:

0.55 × 0.21 = 0.1155

If decimals are not allowed, multiplying positive and negative values will give the positive result but with the inverse sign, which is less than the initial one since the result is less than 0:

12 × -2 = -24

Now back to the example. If we let n = 0.75 (3/4);

0.8 × 0.75 = 0.6

Hope that clears things up.

Answer:

[tex]A_{total} = 16\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the top rectangle

We can tell that the total shape seems like two rectangles glued together.  We can separate the top rectangle and determine the area of it and then determine the area of the bottom rectangle and combine them.  Lets first solve the left rectangle.

[tex]A=l*w[/tex]

[tex]A_{top\ rectangle}=6\ cm * 2\ cm[/tex]

[tex]A_{top\ rectangle}=12\ cm^2[/tex]

Step 2:  Determine the area of the bottom rectangle

[tex]A=l*w[/tex]

[tex]A_{bottom\ rectangle}=2\ cm * 2\ cm[/tex]

[tex]A_{bottom\ rectangle}=4\ cm^2[/tex]

Step 3:  Determine the total area

[tex]A_{total}=A_{top\ rectangle}+A_{bottom\ rectangle}[/tex]

[tex]A_{total}=12\ cm^2+4\ cm^2[/tex]

[tex]A_{total} = 16\ cm^2[/tex]

Answer:  [tex]A_{total} = 16\ cm^2[/tex]

Break in middle horizontally

For square (Below)

For rectangle

Total area

Answer:

14762 ft³

Step-by-step explanation:

Volume of top prism

Volume of bottom prism

Total volume = Volume (top) + Volume (bottom)

Answer:

x=3

y=13

Step-by-step explanation:

Multiply the second equation by 2:

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

Subtract one equation from the other:

   14x=2y+16

-   10x=2y+4

=  4x=12

Solve for x:

4x=12

x=3

Solve for y by plugging in x:

5(3)=y+2

15=y+2

13=y

Answer:

y = 3x + 5

Step-by-step explanation:

y = mx + b (slope-intercept form)

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

Slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )  (point-slope form of linear equation)

~~~~~~~~~~~~~~~

499

199

+-------  the answer is 698 you have to add 499 and 199.

Answer:

5.25

Step-by-step explanation:

Using multiplication, if you do 4x5 you get 20, so adding .25 to the equation will add 1, therefore 20+1=21

So long story short 4 x 5.25 = 21

Answer:

34.00

Step-by-step explanation:

because get the discounted price, subtract the discount from the original price. To illustrate this principle, here is an example: to take 1/3 off $36.00, divide 36 by 3 and multiply by 1. This becomes 36/3 x 1 to equal 12, which represents a discount of $12.00

Answer:

333 ft^2

Step-by-step explanation:

Surface area is the sum of all the areas of the shape.

First, the area of the square in the center is simply 9x9 = 81.

The area of a triangle is (bh)/2, where b = base, and h = height

In the triangle, 9 is the base, and 14 is the height:

(9x14)/2 = 63

There are four triangles of the same area:

63 x 4 = 252

252 + 81 = 333

Answer:

333ft^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x^2 + 9x + 4=0

2x^2+8x+x+4=0

2x(x+4) +1 (x+4) =0

2x+1 = 0

x+ 4 =0

2x= -1

x= -1/2

x=-4

Therefore x = -4 and x = -1/2

Answer:

9

Step-by-step explanation:

x= 430/46

x=9.35 approximately 9( nearest whole number)

Step-by-step explanation:

really ? you need help here ... - that means you did not even look at it once ...

a = 2 - sqrt(5)/2 + sqrt(5)

b = 2 + sqrt(5)/2 - sqrt(5)

a + b = 2 + 2 = 4 (the rest add up to 0)

(a+b)³ = 4³ = 64

Answer:

64

Step-by-step explanation:

Given :

Evaluating (a + b)³ :

Answer:A

Step-by-step explanation:

the correct choice is: B. The numbers in the pattern are odd.

To determine if the numbers in the pattern are even, odd, or alternate between even and odd, let's examine the first few numbers in the pattern:

First number: 41

Second number: 41 - 4 = 37

Third number: 37 - 4 = 33

Fourth number: 33 - 4 = 29

As we can see, the numbers in the pattern are decreasing by 4 in each step. The first number (41) is odd, and subsequently, each number is decreasing by an even value (4). Therefore, all the numbers in the pattern will be odd.

So, the correct choice is:

B. The numbers in the pattern are odd.

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Answer:

[tex]\frac{1}{2}[/tex] , 2 , 4

Step-by-step explanation:

x = - 3 ≠ 2 , then

g(- 3) = [tex]\frac{1}{2}[/tex] × (- 3)² - 4 = [tex]\frac{1}{2}[/tex] × 9 - 4 = [tex]\frac{9}{2}[/tex] - 4 = [tex]\frac{1}{2}[/tex]

x = 2 then g(2) = 2

x = 4 ≠ 2 , then

g(4) = [tex]\frac{1}{2}[/tex] × 4² - 4 = [tex]\frac{1}{2}[/tex] × 16 - 4 = 8 - 4 = 4

The roots of this equation equation are:

x1 = 4

x2 = 8

This sentence given in the statement of this question is: Equation of the Second Degree. There are a few ways to solve it, but let's calculate by the factorization method.

Equation given: x² - 12x + 36 = 4

x² - 12x + 36 = 4

12x ➯ 2x . x6

36 ➯ 6²

x² - 2x . x6 + 6²

( x - 6 )² = 4

( x - 6 )² = 4

x - 6 = ±√4

x - 6 = ±2

x - 6 = ±2

x - 6 = -2

x - 6 = +2

x - 6 = -2

x = -2 + 6

x = 4

x - 6 = +2

x = 2 + 6

x = 8

Therefore, the correct results of this equation, will be:

x1 = 4

x2 = 8

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the probability of getting one head and one tail on the toss of two coins is 0.5percent chance