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3 years ago

Work out (3.6 times 10^-5) divided by (1.8 times 10^2) Give your answer in simplest form.

Mathematics

1 answer:

romanna [79]3 years ago

4 0

Answer:

( 3.6 × 10 ^-5 ) ÷ ( 1.8 × 10² ) = 2 × 10^-7

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Mark drew two lines that form a right angle What words describe the lines that Mark Drew

Anni [7]

The lines that Mark drew are perpendicular.

4 0

3 years ago

Limit

STatiana [176]

Rationalize the numerator:

$\dfrac{\sqrt{x+4}-2}x\cdot\dfrac{\sqrt{x+4}+2}{\sqrt{x+4}+2}=\dfrac{(\sqrt{x+4})^2-2^2}{x(\sqrt{x+4}+2)}=\dfrac x{x(\sqrt{x+4}+2)}=\dfrac1{\sqrt{x+4}+2}$

This is continuous at $x=0$ , so we can evaluate the limit directly by substitution:

$\displaystyle\lim_{x\to0}\frac{\sqrt{x+4}-2}x=\lim_{x\to0}\frac1{\sqrt{x+4}+2}=\frac1{\sqrt4+2}=\frac14$

5 0

3 years ago

The school sold $6000 worth of tickets. Adult tickets were seven dollar and children’s tickets were three dollars. Three times a

padilas [110]

Answer:

1,500 tickets in total (375 adult tickets and 1,125 children tickets)

Step-by-step explanation:

Let x be the number of adult tickets sold.

Three times as many children tickets were sold as adults, so 3x is the number of children tickets sold.

Children tickets were three dollars, so 3x children tickets cost $\$3\cdot 3x=\$9x.$

Adult tickets were seven dollar, so x adult tickets cost $\$7\cdot x=\$7x.$

The school sold $6000 worth of tickets.

Hence,

$9x+7x=6,000\\ \\16x=6,000\\ \\x=\dfrac{6,000}{16}=375\\ \\3x=1,125\\ \\x+3x=375+1,125=1,500$

7 0

3 years ago

3. A box contains 7 Green balls, 5 Red balls, and 3 Blue balls. A ball is randomly selected and its color is noted. Then it is r

ziro4ka [17]

Answer:

a. 7/45

b. 1/15

Step-by-step explanation:

15 total balls

a. Selecting 1 Blue ball and 1 Green ball

3/15 * 7/15 = 21/225 = 7/45

b. Selecting 1 Red ball and 1 blue ball

5/15 * 3/15 = 15/225 = 1/15

6 0

3 years ago

Help finish this please

ArbitrLikvidat [17]

French 156
Spanish 72
German 90
Italian 42
how we found out is by 360/60 to get 6 then 6 x 26 etc

8 0

3 years ago