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elena-s [515]
2 years ago
11

A pack of 6 batteries of the same type cost £2.79 By calculating the price per battery,

Mathematics
1 answer:
maks197457 [2]2 years ago
8 0

\large{\rm{\underline{\underline{Answer:}}}}

Given, 6 batteries for £2.79

(They are of same type, so each of them are of same cost. )

~Simply divide the total price of 6 batteries by 6 to get the price of each battery,

=  \dfrac{£2.79 }{6}

= £ \dfrac{279}{100 \times 6}

= £ \dfrac{46.5}{100}

= £0.465

Thus, cost of each battery is <u>£</u><u> </u><u>0</u><u>.</u><u>4</u><u>6</u><u>5</u><u> </u><u>(</u><u>ans)</u>

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Find the exact length of the curve. x = 9 + 9t2, y = 6 + 6t3, 0 ≤ t ≤ 4
andrew11 [14]

ANSWER

=102 \sqrt{ 17}

EXPLANATION

The equation of the curve is:

x = 9 + 9 {t}^{2}

y = 6 + 6 {t}^{3}

We differentiate to obtain:

\frac{dx}{dt}  = 18t

\frac{dy}{dt}  = 18t

The length of the arc

l =  \int _0 ^{4}  \sqrt{  {( \frac{dx}{dt} )}^{2} + {( \frac{dy}{dt} )}^{2} } dt

This implies that:

=  \int _0 ^{4}  \sqrt{  {( 18t )}^{2} + {(  {18 {t}^{2} } )}^{2} } dt

= \int _0 ^{4} 18t \sqrt{  1+ { {18 {t}^{2} } }} dt

=102 \sqrt{ 17}

3 0
3 years ago
What is 5(4x+12)+3x+2
yulyashka [42]

Answer:

23 x + 62

Step-by-step explanation:

Simplify the following:

5 (4 x + 12) + 3 x + 2

5 (4 x + 12) = 20 x + 60:

20 x + 60 + 3 x + 2

Grouping like terms, 60 + 20 x + 3 x + 2 = (20 x + 3 x) + (60 + 2):

(20 x + 3 x) + (60 + 2)

20 x + 3 x = 23 x:

23 x + (60 + 2)

60 + 2 = 62:

Answer:  23 x + 62

5 0
3 years ago
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