Find the equivalent expression of 12^6

Answer:

40 in.^2

Step-by-step explanation:

Let's name the 2 shaded triangles: The left one is T1 and the right one is T2.

The area of a right triangle can be found using the equation (a*b)/2.


The 2 legs of T1 are 8 in. and 6 in. (from 10 - 4)
Area of T1 = [tex]\frac{8 * 6}{2}[/tex] = 24 in.^2

The 2 legs of T2 are 8 in. and 4 in.
Area of T2 = [tex]\frac{8 * 4}{2}[/tex] = 16 in.^2

Area of shaded region = 16 + 24 = 40 in.^2

The equation that illustrates the identity property of multiplication is (a+bi) × 1 = (a+bi).

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The identity property of multiplication states that when a factor is multiplied by 1 the result is the factor itself. Therefore, the equation that illustrates the identity property of multiplication is (a+bi) × 1 = (a+bi).

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Answer:

D

Step-by-step explanation:

duh

Answer:

7 to the left, and up 2.

Step-by-step explanation:

Answer:

f'(0)= -2/5

Step-by-step explanation:

Answer:

[tex]5^{-2}[/tex]

Step-by-step explanation:

Primd factorize 25

25 = 5*5 = 5²

[tex]\sf \dfrac{1}{25}=\dfrac{1}{5^{2}} \\\\= 5^{-2}[/tex]

HINT:

[tex]\dfrac{1}{a^{m}}=a^{-m}[/tex]

Answer:

v=l×h×w

Step-by-step explanation:

that the furmula

Answer:

17.2 > 17.19​ True

Step-by-step explanation:

46.8 < 46.08 Not True, sign should be the other way around

35.30 > 35.3 Not True, they are equal

17.2 > 17.19​ True

Answer: 17.2 >17.19 Is true

Step-by-step explanation: First one is greater than, second one is equal to.

He will pay $200,000.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Your homeowners policy has a premium of $150, a deductible of $5000, and a limit of $300,000.

And,  Your home suffers $500,000 in damages.

Now,

Since, Homeowners policy has a premium of $150, So we can pay the amount = 12 x 150

           = $1,800

And,  Homeowners policy has a deductible of $5000.

Then, The remain amount = $500,000 - $5,000

                                        = $495,000

Since, The limit of the policy = $300,000

Hence, The remain amount = $495,000 - $300,000

                                           = $195,000

After including the deductible amount we get;

Deductible amount = $195,000 + $5,000

                             = $200,000

Thus, He will pay $200,000.

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Without buying points, the time that will be taken to break even will be 6 years.

The monthly mortgage payment will be $1,250. Buying 1 point at closing would reduce the payment to $1,236.

1 point= $1000

The time taken will be:

Monthly savings = 4250/1236 = 14

Time taken = 7

1000/14 = 71.4 months

71.4/12=5.95 years = ~6 years

Thus, The time that will be taken to break even will be 6 years.

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Answer: 6

Step-by-step explanation:

A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order.

Answer:

The value of x is 6

Step-by-step explanation:

Solving for x :

=> 2(x-4)+3=7

=> 2x-8+3 = 7

=> 2x-5 = 7

=> 2x = 7+5

=> 2x = 12

=> x = 12/2

=> x = 6

The equation of the area of the rectangle is w(2w + 5) = 50. Then the correct option is C.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches.

Let the width of the rectangle be w, then the length of the rectangle will be (2w + 5).

Then the area of the rectangle is given as

Area = l × w

Then we have

w(2w + 5) = 50

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The correct statement about the congruent figures is,

⇒ a reflection across the x-axis, followed by a translation 3 units to the right.

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

Three congruent figures are shown in the coordinate plane.

Now, From figure A and figure B,

Figure B is reflection across the x-axis, followed by a translation 3 units to the right across the figure A.

Thus, The correct statement about the congruent figures is,

⇒ a reflection across the x-axis, followed by a translation 3 units to the right.

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Answer:

[tex]b^{2} -2b+5[/tex]

Step-by-step explanation:

Answer:

7.2

Step-by-step explanation:

We know that the radius is always the same throughout the entire circle. That is, any line going from the center of the circle to the edges = radius. In this problem, radius = 20.9 and so does the other 4 lines going from the center of the circle to the edge.

Since there is a right angle, we know that both triangles are right triangles where hypotenuse, c = 20.9 and b = 19.6. To solve for x, use pythagorean theorem:

a² + b² = c²

x² + 19.6² = 20.9²

x² + 384.16 = 436.81

x = √(436.81 - 384.16)

x = √52.65

x ≈ 7.256

Hope this helps!

The surface area of a similar rectangular-prism-shaped skyscraper that has a scale factor of 1/800 would be equal to 1.7 meter.

Mathematically, the surface area of a rectangular-prism is given by this formula:

A = 2(wl + hl + hw)

Where:

Given the following data:

Surface area of rectangular prism = 1,115,000 m²

Scale factor = 1/800

The length, height and width of the similar model would be 1/800 the original rectangular-prism-shaped skyscraper.

Substituting the given parameters into the formula, we have;

Surface area = 1,115,000 × 1/800 × 1/800

Surface area = 1.7 meter.

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The value of the a, in the provided quadratic equation for which Nancy found one solution as x=1 is 9.

The solution of the quadratic equation is the solution of the variable of the equation, for which the equation satisfies.

Nancy found that x=1 is one solution to the quadratic equation. The quadratic equation is,

[tex](x +2)^2=a[/tex]

For this equation, one solution is x=1. Put this value in the above equation to get the value of a,

[tex](1 +2)^2=a\\(3)^2=a\\9=a\\a=9[/tex]

Thus, the value of the a, in the provided quadratic equation for which Nancy found one solution as x=1 is 9.

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Answer:

D. 9

Step-by-step explanation:

Answer:

p =1

q = 9

Step-by-step explanation:

f(x) = 2x³ - px² + 2qx + q

(x - 3) is a factor of f(x)

⇒f(3)  = 0

2(3)³ - p*3² - 2q*3 +q = 0

2*27 - 9p - 6q + q = 0

    54 - 9p - 5q = 0

            -9p - 5q = -54 -------------------(I)

(2x - 1) is a factor of f(x)

2x - 1 = 0

      2x = 1

        [tex]\st x = \dfrac{1}{2}[/tex]

f(1/2) = 0

[tex]2*(\dfrac{1}{2})^{3}-p*(\dfrac{1}{2})^{2}-2q*\dfrac{1}{2}+q=0\\\\2*\dfrac{1}{8}-p*\dfrac{1}{4}-q+q = 0\\\\\dfrac{1}{4}-\dfrac{1}{4}p =0\\\\[Multiply the entire equation by 4]\\\\4*\dfrac{1}{4}-4*\dfrac{1}{4}p=0\\\\[/tex]

1 - p = 0

    -p = -1

p = 1

Substitute p =1 in equation (I)

-9*1 - 5q = -54

 -9 - 5q = -54

      -5q = -54 + 9

      -5q = -45

           q = -45/(-5)

q = 9

Answer:

approximately 71.50215

Step-by-step explanation:

Answer:

x =(24-√596)/2=12-√ 149 = -0.207

x =(24+√596)/2=12+√ 149 = 24.207

Step-by-step explanation:

Factoring  x2-24x-5

The first term is,  x2  its coefficient is  1 .

The middle term is,  -24x  its coefficient is  -24 .

The last term, "the constant", is  -5

Multiply the coefficient of the first term by the constant   1 • -5 = -5

Find two factors of  -5  whose sum equals the coefficient of the middle term, which is   -24 .

     -5    +    1    =    -4

     -1    +    5    =    4

Two solutions were found :

x =(24-√596)/2=12-√ 149 = -0.207

x =(24+√596)/2=12+√ 149 = 24.207

Answer:

C-12

Step-by-step explanation:

The definition of a Vertex of a 3D shape is 'Where 3 lines meet to form an angle' which in this case would be 12.

Answer:

it's c12 first do the edge face vertical nameing polygon and then you can get your answers

Answer:

x-intercept is 8, meaning if you get 8 candy bars, you can get 0 popcorn bags.

y-intercept is 6, meaning if you get 6 popcorn bags, you can get 0 candy bars. When Jackie had 0 candy bars, she had 6 (y-intercept) bags of popcorn and when Jackie had 0 bags of popcorn, she had 8 (x-intercept) bars of candy.

Step-by-step explanation:

The y-axis represents the amount of popcorn bags she has and the x-axis has the amount of candy bars. When the linear line intercepts with either axis, at least one axis is always at zero.

Answer:

Step-by-step explanation:

In similar triangles, the corresponding sides are in same proportion.

[tex]\sf \dfrac{4x}{3x+1}=\dfrac{15}{12}[/tex]

Cross multiply,

4x*12 = 15*(3x + 1)

48x    = 15*3x + 15*1

48x    = 45x + 15

48x -45x = 15

          3x = 15

           x = 15/3

x = 5

Answer:

it would be +3

Step-by-step explanation:

This is he answer because +3 is equal to p+3 if pounds=p

Answer:

no,

Step-by-step explanation:

because 3, and 10 are not even when multiplied in the equasion.

Answer:

That statement is true, if you set y to 3 and x to 10 in this problem.

[tex]y(3+1) = 4\\2 * x(10 + 4) = 24[/tex]

Answer:

C. 2

Step-by-step explanation:

h/6 + h/3 = 1

h/6 + 2h/6 = 1

3h/6 = 1

3h = 6

h = 2

Answer:

a) AE and BC are parallel (as shown by the markings)

b) ED and CD are equal in length (as shown by the markings)

c) 3: AE is perpendicular AB, AB is perpendicular to AE/AC, AC is perpendicular to AB