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3 years ago

Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.

Mathematics

1 answer:

pantera1 [17]3 years ago

7 0

Multiplying these together, we get:

$4 \sqrt{x^2}$

The square root of x^2 is x, so we have a final expression of 4x.

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Check the pic that i attatched

kykrilka [37]

Answer:

≈ £ 4584.38

Step-by-step explanation:

Firstly, we need to find the number of litres that Mr. Leonard needs to fill up his tank:

We know that there is already 450 litres in the 1200 litre tank, so he must need 1200 - 450 = 750 litres.

I'm not quite sure what the variable p means, but I'm going to assume that p represents the number of litres and that 81.5 is the price per litre in pounds.

So:

Total price = 81.5p

Total price = 81.5(750)

Total price = £61125

We have to remember though that the question is asking for the <em>discount</em> and not the <em>discounted price</em>, so:

61125 × 7.5%

61125 × 0.075 = 4584.375

≈ £ 4584.38

7 0

3 years ago

Subtract the two expressions. 3x - 4 from -2x + 8

Margarita [4]

-2x - 3x = -5x
8 - 4 = 4
-5x + 4

5 0

4 years ago

In which place is the first digit of the quotient 3589÷80

givi [52]

First you actually find the quotient so divide

3589/80

Which is = 44.86

First digit is 4 when you look at the quotient, starting from the left

8 0

3 years ago

Kim has an ice cream cone with a scoop of ice cream. the cone is completely filled with ice cream and has half a sphere on top.

yan [13]

Answer:

113.12 cubic inches

Step-by-step explanation:

Volume of icecream cone

= Volume of cone + Volume of hemisphere

= 1/3× π × r^2 × h + 2/3 × π × r^3

= 1/3 × 22/7 × 9 × 6 + 2/3 × 22/7 × 27

= 113.12 cubic inches

6 0

3 years ago

Parallelogram ABCD has vertex coordinates A(0, 1), B(1, 3), C(4, 3), and D(3, 1). It is translated 2 units to the right and 3 un

Ivenika [448]

Answer: The correct option is (C). (-2, 2).

Step-by-step explanation: Given that the co-ordinates of the vertices of parallelogram ABCD are A(0, 1), B(1, 3), C(4, 3), and D(3, 1). The parallelogram ABCD is translated 2 units to the right and 3 units down and then rotated 180 clockwise around the origin.

We are to find the co-ordinates of the vertex A after the transformation.

We know that if the point (x, y) is translated a units right and b units down, then its new co-ordinates will be (x + a, y - b).

So, the co-ordinates of point A after translation of 2 units to the right and 3 units down are

(0 + 2, 1 - 3) = (2, -2).

Now, a rotation of 180° clockwise will change the co-ordinates (x, y) to (-x, -y).

Therefore, the final co-ordinates of point A are

(2, -2) ⇒ (-2, 2).

Thus, the new co-ordinates of A are (-2, 2).

Option (C) is CORRECT.

8 0

3 years ago