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1 year ago

What is 2 3/2 equal to?

Mathematics

1 answer:

kati45 [8]1 year ago

6 0

Answer:

(a) √8

Step-by-step explanation:

You want to know the radical equivalent to 2^(3/2).

<h3>Indices</h3>

The relationship of indices to radicals is ...

$\large{\sqrt[n]{a^m}}={a^{\frac{m}{n}}$

<h3>Application</h3>

The given expression can be rewritten as ...

$2^{\frac{3}{2}}=\sqrt[2]{2^3}=\boxed{\sqrt[2]{8}}$

Additional comment

When the index of the radical is 2, it is usually left off. The radical can be simplified by removing the perfect square factor.

$\sqrt[2]{8}=\sqrt{8}=2\sqrt{2}$

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The coordinate of centroid of a triangle whose vertices are (1,3,-2), (4,5,0), (6,3,9) is = ……………….

Dominik [7]

Answer:

$C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})$

Step-by-step explanation:

Given

$(x_1,y_1,z_1) = (1,3,-2)$

$(x_2,y_2,z_2) = (4,5,0)$

$(x_3,y_3,z_3) = (6,3,9)$

Required

Determine the coordinates of the centroid

Represent the coordinates with C.

C is calculated as follows:

$C = (\frac{1}{3}(x_1+x_2+x_3),\frac{1}{3}(y_1+y_2+y_3),\frac{1}{3}(z_1+z_2+z_3}))$

Substitute values of x and y in the given equation

$C = (\frac{1}{3}(1+4+6),\frac{1}{3}(3+5+3),\frac{1}{3}(-2+0+9}))$

$C = (\frac{1}{3}(11),\frac{1}{3}(11),\frac{1}{3}(7}))$

$C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})$

The above is the coordinate of the centroid

8 0

3 years ago

A tennis racket at at sport city costs $180 and is discounted 15% the same model racket costs$200 at tennis world and is on sale

MaRussiya [10]

Mate, stop repeating questions, wait until your question has been answered.

15% of 180 is (180 * 0.15) = 27.

180 - 27 = $153 paid.

20% of 200 = (200 * 0.2) = 40.

200 - 40 = $160 paid.

Therefore Sport City offered the better deal.

4 0

3 years ago

Read 2 more answers

An electric bulb is sold in a box measuring 5 cm by 4 cm by 4 cm. If the shopkeeper receives them in a carton measuring 50 cm by

katen-ka-za [31]

Answer:

250

Step-by-step explanation:

Bulb box and carton both are of cuboidal shape.

For bulb box the dimensions are:

l = 5 cm, w = 4 cm, h = 4 cm

$V_{Bulb\: box} =lwh$

$\implies V_{Bulb\: box} =5(4)(4)$

$\implies V_{Bulb\: box} =80\: cm^3$

For Carton the dimensions are:

l = 50 cm, w = 20 cm, h = 20 cm

$V_{Carton} =lwh$

$\implies V_{Carton} =50(20)(20)$

$\implies V_{Bulb\: box} =20,000\: cm^3$

To find the number of bulbs packed in the carton, divide the $V_{Carton}$ by $V_{Bulb\: box}$

$Number \:of \:bulbs =\frac{V_{Carton}}{V_{Bulb\: box}}$

$\implies Number \:of \:bulbs =\frac{20,000}{80}$

$\implies Number \:of \:bulbs = 250$

So, 250 bulbs will be packed in one carton.

3 0

2 years ago

A loaf of bread that is baked today costs $7. All of the bread baked yesterday is 40% off.

vovikov84 [41]

Answer:

The price of today's bread is $7.

40% of $7 is $2.80.

The price of yesterdays bread is $7-$2.80.

7-2.80=4.20

The price of yesterday's bread is $4.20

Tobin has enough money to purchase a loaf of yesterday's bread.

Hope this helps!

4 0

3 years ago

Using the function A(t)=P(1=r/n)^nt, create the function that represents your new car loan that is compounded monthly. The princ

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What does each variable represent?

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4 years ago