Simplify the expression please!!

4( -2p + 8)

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: 26

Step-by-step explanation:

Answer:

182.88cm

Step-by-step explanation:

i looked it up

Answer:

Step-by-step explanation:

Maybe try to multiply or divide.

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

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:

144 feet to nearest foot.

Step-by-step explanation:

Let the distance between Albert and the point on the ground that the balloon is directly above be x feet Then for Isaac the distance is 400 - x feet

So we have 2 right angled triangles and:

tan 62 = h/x

tan 48 = h / (400- x)         where h is the height of the balloon.

From the first equation x = h / tan 62 so plugging this into the second one:

tan 48 =  h /  ( 400 - h/tan 62)

h = 400 tan 48 - h tan 48 tan 62

h + h tan 48 tan 62 = 400 tan 48

h ( 1 + tan48 tan62) = 400 tan48

h = 400 tan 48 / (1 +  tan 48 tan 62)

= 143.8 feet.

Answer:

a = 45 degrees

Step-by-step explanation:

Since both angles are a, they are equal to each other

Also, we know that the right angle means it measures 90 degrees

So, (180-90)/2 = a

a = 45 degrees

Answer:

Geometric Progression is the explicit rule for the given sequence: 11, 22, 44, 88...

First term (a) = 11

Common ratio (r) = 22/11 = 44/22 = 88/44 = 2

Formula used in Geometric Progression is :---

[tex]\boxed{a_n = a {r}^{(n - 1)}}✓\\ [/tex]

where, 'n' is the required term

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:

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.

Answer:

(0, -4)

Step-by-step explanation:

1440 divided by 120 = 12 pen stands

hope it helps:))

Answer:

The answer of this question is $68.

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:

the answer for this question you have id number 8

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:

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 .

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:

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:

please include an image for the question

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:

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:

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:

8. 2/7 9. 3/4 10. 3/5

Step-by-step explanation:

simplify 4/14 by 2, simplify 15/20 by 5, and simplify 21/35 by 7, hope this helps

Answer:

last one i gussing

Step-by-step explanation:

Answer:

i feel like its b but im so sorry if im wrong

Step-by-step explanation: