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The expressions are algebraic expressions, and the equivalent expression of n⁵ * k * n⁻⁵ * k is k⁶

The expression is given as:

n⁵ * k⁵ * n⁻⁵ * k

Rewrite the expression as:

n⁵ * k * n⁻⁵ * k = n⁵ * n⁻⁵ * k⁵ * k

Apply the law of indices

n⁵ * k * n⁻⁵ * k = k⁶

Hence, the equivalent expression of n⁵ * k * n⁻⁵ * k is k⁶

Read more about equivalent expressions at:

https://brainly.com/question/2972832

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Answer:

k^6

Step-by-step explanation:

Answer:

By making use of Pythagoras theorem

Step-by-step explanation:

l²=4²+4²

=16+16=32

I=✓32

8²=x²+(✓32)²

64=x²+32

x²=64-32

x²=32

x=✓32

Answer:

678

Step-by-step explanation:

Im pretty sure, but take a look at my work below and see if you think its right:

Answer with Step-by-step explanation:

2 ( 2x -1 ) + 3 ( x + 1 )

First, let us find the value of the above expression.

2 ( 2x -1 ) + 3 ( x + 1 )

4x - 2 + 3x + 3

Combine like terms

4x + 3x - 2 + 3

7x + 1

Therefore, it is clear that the given expression is equal to 7x + 1.

∴ 7x + 1 = 2 ( 2x -1 ) + 3 ( x + 1 )

Answer:

5%

Step-by-step explanation:

(240-252/240)×100

Answer:

  (a) 2.27 lb/$

  (b) 0.10 mi/min

Step-by-step explanation:

Pounds per dollar is found by dividing pounds by dollars:

  (25 lb)/($11.00) ≈ 2.272727... lb/dollar

The digit in the thousandths place is less than 5, so that digit and all digits to its right are dropped when rounding to hundredths.

  2.27 pounds per dollar

__

Speed in miles per minute is found by dividing miles by minutes:

  (6 mi)/(58 min) ≈ 0.103448... mi/min

Rounding to hundredths is done the same way as above.

  0.10 miles per minute

_____

If the digit to the right of the place you're rounding to is 5 or more, then 1 is added in the place you're rounding to when digits to its right are dropped.

Answer:

2.22

Step-by-step explanation:

4/9 x 5

Answer:

[tex]d=\frac{18}{\pi }[/tex]

Step-by-step explanation:

We work our way backward to find the diameter.

Circumference of a Circle Formula:

[tex]C=2\pi r[/tex]

r is radius , 2*radius = diameter.

Given information: C=18 cm , pi=3.14.

[tex]C=2\pi r\\18=2\pi r\\[/tex]

Get r by itself.

[tex]r=18/2\pi\\r=9/\pi[/tex]

r≈2.864788976

2*r=d

[tex]2*9/\pi =diameter\\d=\frac{18}{\pi }[/tex]

Step-by-step explanation:

Please check the shots I sent you'll understand it perfectly

Answer:

6 , 25 ,Range

Step-by-step explanation:

Option c is the right answer

I hope it helped you

Answer:

That is written in standard form, no changes are needed.

9.45×10^6 is the answer

Answer:

667 pizzas

Step-by-step explanation:

5-2=3 Unit CM

2000/3=666.6

Can't have .6 of a pizza, so round up

667

Answer:

55p

Step-by-step explanation:

iced cake = 10p more than a plain cake

iced cake = 10p + plain cake

iced cake and a plain cake together = £1

iced cake + plain cake = £1

if iced cake = 10p + plain cake, we can plug this into our second formula to get

(10p + plain cake) + plain cake = £1

10p + 2 * plain cake = £1 = 100p

subtract 10p from both sides to isolate the variable and its coefficient

2 * plain cake = 90p

divide both sides by 2 to isolate the variable

plain cake = 45p

iced cake = 10p + plain cake = 55p

Answer:

b+2.673

Step-by-step explanation:

substitute the value of the variable into the equation and simpilfy

Answer:

8.807

Step-by-step explanation:

1. 6.134 + (5.68 - 3.007)

   6.134 + 2.673

   = 8.807 or [tex](\frac{8807}{1000}, 8\frac{807}{1000} )[/tex]

Answer:

r = 23

Step-by-step explanation:

Using the formula

Solving for r

Answer:

[tex]\frac{2x}{x+5}[/tex]

Step-by-step explanation:

We are given a function for f and g, and are asked to find f/g.

We know f = 4x^2 + 6x and g = 2x^2 + 13x + 15

Simply put function of f over g.

[tex]\frac{4x^2+6x}{2x^2+13x+15}[/tex]

Factor:

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

Since both numerator and denominator have 2x + 3, we can cancel them out.

[tex]\frac{2x}{x+5}[/tex] is our answer.

Answer:

about 4.58 feet

Step-by-step explanation:

[tex] {2}^{2} + {x}^{2} = {5}^{2} [/tex]

[tex]4 + {x}^{2} = 25[/tex]

[tex] {x}^{2} = 21[/tex]

[tex]x = 4.58[/tex]

Answer:

C

Step-by-step explanation:

the angle in a semicircle = 90° , that is the 3rd angle in the triangle.

the sum of the 3 angles in a triangle = 180° , then

p + 90° + 42° = 180°

p + 132° = 180° ( subtract 142° from both sides )

p = 48°

Answer: 115.6

Step-by-step explanation:

Answer:24/3=$8 each shirt

y=1x+8

Step-by-step explanation:

3 shirts are equal to $24.

24/3=$8 each shirt

The equation is y=1x+8

In the table, just times 8 for each.

For the graph, I will label it 5 for each square on the x-axis and count by 1 at the y-axis.

Answer: Mean

Mean is the only measure of central tendency that is always affected by an outlier.

hope this helps!

have a nice day!

Same Denominator We Add The Numerators:

Answer:

[tex]u + 2[/tex]

Answer:

the probability = 1/4

Step-by-step explanation:

Check the diagram tree I provided (it’s incomplete because it’s so long)

the probability that she starts with a black shirt equal to :

[tex]p=\frac{1}{4} \times \frac{4}{4} \times \frac{4}{4} \times \frac{4}{4} = \frac{1}{4}[/tex]

because she has :

One choice to pick a black shirt out of 4 colors

4 choices to pick pants out of 4 colors

4 choices to pick socks out of 4 colors

4 choices to pick shoes out of 4 colors

Answer:

749.1m

Step-by-step explanation:

Hope this helped!

Answer:

84

Step-by-step explana8tion:

Answer:

Step-by-step explanation:

The range is the difference between the highest and lowest values in a data set.

Answer:

8

Step-by-step explanation:

When finding the range, you have to subtract the smallest value from the biggest value,

2, 9, 7, 9, 1, 6

⇒ 1, 2, 6, 7, 9, 9

If we take a look at the set of numbers, we can see that 1 is the smallest value and 9 is the biggest,

Now that know that we need to subtract,

9 - 1

= 8

Therefore the range of this set of numbers is 8.

Answer:

512

Step-by-step explanation: