Sargento cheese slices $2.48 for 10 slices or Velveeta cheese slices $3.18 for 12 slices find the unit rate for each and choose the better deal.

9514 1404 393

Answer:

  a. 5^-3

  b. 14^18

  c. 8^9

  d. 16^3

  e. 21^-18

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

__

a) 5^(3-6) = 5^-3

b) 14^(3·6) = 14^18

c) 8^(3+6) = 8^9

d) 16^(6-3) = 16^3

e) 21^(3(-6)) = 21^-18

Answer:

please include an image for the question

I assume you're talking about a fraction,

(2i ²⁰ + i ⁴²) / (i ¹⁰¹ - i ²)

Remember that i ² = -1; from this it follows that

i ³ = i ² × i = -i

i ⁴ = i ³ × i = (-i ) × i = -i ² = -(-1) = 1

i ⁵ = i ⁴ × i = i

i ⁶ = i ⁵ × i = i ² = -1

and so on. In particular, raising i to some integer multiple of 4 reduces to 1.

Using the above pattern, we find

i ²⁰ = 1

i ⁴² = i ⁴⁰ × i ² = 1 × (-1) = -1

i ¹⁰¹ = i ¹⁰⁰ × i = 1 × i = i

So, we have

(2i ²⁰ + i ⁴²) / (i ¹⁰¹ - i ²) = (2 - 1) / (i - (-1)) = 1 / (i + 1)

We can stop here, but usually it's more useful to have complex numbers written in standard a + bi form. To get this result, multiply the numerator and denominator by the complex conjugate of i + 1:

(2i ²⁰ + i ⁴²) / (i ¹⁰¹ - i ²) = 1 / (i + 1) × (-i + 1) / (-i + 1)

… = (-i + 1) / (-i ² + 1²)

… = (-i + 1) / (-(-1) + 1)

… = (1 - i ) / 2

or equivalently,

… = 1/2 - 1/2 i

Answer:

-28/45

Step-by-step explanation:

Here, we want to find the result of a division

What we have to do here is to flip the fraction on the right hand side , then change the sign from division to multiplication

We have this as;

4/9 * -7/5

= -28/45

Answer:

the answer for this question you have id number 8

Answer:

Step-by-step explanation:

5x  + y = 11 -------------------(I)

3x - y = 9 -----------------(II)

Add equation (I) & (II)

   5x + y = 11

   3x - y = 9        {add and y will be eliminated and we'll get the value of x}

  8x       = 20

          x = 20/8

         x = 2.5

Plugin x = 2.5 in equation (I)

5*2.5 + y = 11

 12.5  + y = 11

            y = 11 - 12.5

            y = -1.5

After solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign .

We have,

[tex]5x + y = 11[/tex]   [tex].......... (i)[/tex]

[tex]3x - y = 9[/tex]   [tex]...........(ii)[/tex]

To solve we will multiply equation [tex](i)[/tex] by [tex]3[/tex] and equation [tex](ii)[/tex] by [tex]5[/tex],

[tex]15x + 3y = 33[/tex]   [tex]..........(iii)[/tex]

[tex]15x -5y = 45[/tex]   [tex]..........(iv)[/tex]

Now, adding both equations [tex](iii)[/tex] and [tex](iv)[/tex] ,

We get,

[tex]8y=-12[/tex]

[tex]y=-\frac{3}{2} =1.5[/tex]

Now putting value of [tex]y=-\frac{3}{2} =1.5[/tex] in equation [tex](i)[/tex] ,

[tex]5x+(\frac{-3}{2} )=11[/tex]

[tex]x=\frac{5}{2} =2.5[/tex]

So, using the elimination method we find out the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex], which was find out simultaneously.

Hence, we can say that after solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].

To know more about equations click here

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Answer:

182.88cm

Step-by-step explanation:

i looked it up

Answer:

Step-by-step explanation:

Maybe try to multiply or divide.

Answer:

The answer of this question is $68.

Answer:

x=6√3

Step-by-step explanation:

I hope this helps.

Answer:

use trigonometric ratios. I think you use tan whereby tan is opposite over adjacent. the opposite side is X and the adjacent side is 6 . we looking for X you gonna calculate

X=6tan60

=6√3

Answer:

Surface area of the cube = 294 m²

Step-by-step explanation:

Sidewall of a cube measures in length = 7 m

Formula for the surface area of a cube = Sum of the areas of all six sides of the cube

= 6 × (Side)²

= 6 × (7)²

= 6 × 49

= 294 m²

Therefore, surface area of the cube is 294 m².

Answer:

b = 15.59

Step-by-step explanation:

a^2 + b^2 = c^2

9^2 + b^2 = 18^2

81 + b^2 = 324

-81             -81  

b^2 = 243

b = 15.59

Pythagorean Theorem -

[tex]a^{2} + b^{2} = c^{2} [/tex]

1 - Input the values!

[tex] 9^{2} + x^{2} = 18^{2} [/tex]

2. Find the exponents!

[tex]81 + x^{2} = 324[/tex]

3. Multi step Equations!

[tex]81 - 81 = 0 \\ 324 - 81 = 243[/tex]

4. Use square roots to find x!

[tex]x = \sqrt{243}[/tex]

Answer: X=The Square Root Of 243

Answer:

(0, -4)

Step-by-step explanation:

Answer:

1:24

Step-by-step explanation:

Convert inches to feet, 7.25 inches is 0.604 feet.

0.604:14.5 needs to become 1:something, so set up 0.604/14.5 = 1/x

Solve for x now by dividing 14.5 by 0.604. You get 24 for x, so the answer is 1:24 scale!

Answer:

The range for the function y=5-2x is all real numbers, but the numbers corresponding the the domain values of 0, 1, 2, and 3, are 5, 3, 1, -1.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

Rotations About The Origin

When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.

Answer:

Width=7.1

Height=3.2

length=2.8

Formula=2(wl+hl+hw)

2(7.1 x 2.8) + (3.2 x 2.8)+ (3.2 x 7.1)

= 103.12

Hope it helps

Mark me as Brainliest!

Answer:

Let S = starting point

Let ST = length of tunnel

SR = 1414 m

RT = 2236 m

Set up:

ST^2 + SR^2 = RT^2

ST^2 + (1414)^2 = (2236)

Solve for RT to find your answer.

Step-by-step explanation:

Answer:

25m

Step-by-step explanation:

The unit not to be used to find the triangle area is 25 because it is the hypotenuse and to find the area of a triangle you only need base and height. The base would be 24.6 and the height would be 7.3, which would both be needed in the equation.

Answer:

Step-by-step explanation:

To find the perimeter of Δ XYZ when its longest side is 20, you can set up proportions to find the lengths of the sides, since the sides of similar triangles

Answer:

XZ = 6

Perimeter = 18

Step-by-step explanation:

8/4 = 12/XZ

8XZ = 48

XZ = 6

XY = 8

Perimeter = 18

(The two triangles are not to scale. The one on the right is drawn twice the size of the one on the left but actually is just half it's size.)

Also, the order of the letters in the congruency statement (triangle ABC is congruent to triangle XYZ) is important. If they had stated that triangle ABC is congruent to triangle ZYX, the relationship would not be 4/8 but 4/16. This would have resulted in entirely different answers. Instead of triangle XYZ being 1/2 the size of ABC, it would have been 1/4 it's size.

1440 divided by 120 = 12 pen stands

hope it helps:))

Answer:

The answer is B, 6x^2 - 21x + 15

Step-by-step explanation:

= (3x + − 3) (2x + − 5)

= (3x) (2x) + (3x) (− 5) + ( − 3) (2x) + ( − 3) ( − 5)

= 6x^2 − 15x − 6x + 15

= 6x^2 − 21x + 15

- I don't know how you want me to fill the boxes exactly but here's the step by step explanation. I hope I helped.

Answer: 26

Step-by-step explanation:

Answer:

1. 252N = ( x  x )N

2. Factor =

Step-by-step explanation:

Let the starting population size for organisms A and B be represented by N.

For organism A;

Day 0: N

Day 1: 2N

Day 2: N

Day 3: N

Day 4: N

Day 5: N

Day 6: N

Day 7: N

Day 8: N

For organism B;

Day 0: N

Day 1: 2N

Day 2: N

Day 3: N

Day 4: N

Day 5: N

Day 6: N

Day 7: N

Day 8: N

1. After the eight days, organism B's population is larger than organism A's population by;

N - N = 256N - 4N

              = 252N

              = ( x  x )N

2. Organism A's population grows by .