3 years ago

Please help me with number 9

Mathematics

1 answer:

Mrrafil [7]3 years ago

8 0

The answer is 8 pints

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Suppose the integral from 2 to 8 of g of x, dx equals 12, and the integral from 6 to 8 of g of x, dx equals negative 3, find the

Artyom0805 [142]

$\displaystyle\int_2^8g(x)\,\mathrm dx=12$

$\displaystyle\int_6^8g(x)\,\mathrm dx=-3$

Use the fact that integrals are additive on their intervals. Mathematically, if $c\in[a,b]$ , then

$\displaystyle\int_a^bg(x)\,\mathrm dx=\int_a^cg(x)\,\mathrm dx+\int_c^bg(x)\,\mathrm dx$

So we have

$\displaystyle2\int_2^6g(x)\,\mathrm dx=2\left(\int_2^8g(x)\,\mathrm dx-\int_6^8g(x)\,\mathrm dx\right)=2(12-(-3))=30$

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4 years ago

Find h(-8) given the function h(x)=| 2x+7 |

raketka [301]

Answer:

Step-by-step explanation:

h(x)=| 2x+7|

h(-8)= |2(-8)+7|

= |-16+7|

=|-9|

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3 years ago

Mrs.Smith has 3 boys to every 5 girls in her class. What percent of her class is boys?

gizmo_the_mogwai [7]

Answer:

1/4

25 percent

Step-by-step explanation:

4 0

3 years ago

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Please help i need help on question b

anzhelika [568]

There are 12 possible outcomes.....three of these will be a "7" ...so...

A "7" should occur 1/4 of the time

If each player pays 20p to play.....the school will take in 120 * 20 = 2400p

However.......1/4 of the players should win = 30 players.....and each lollipop costs 30p.....so......the school should spend 30 * 30 = 900p for the prizes

So......the school should raise 2400 - 900 = 1500p if 120 people play the game

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3 years ago

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A price decreased from 60$ to 45$ find the percent of decrease

BlackZzzverrR [31]

Percent change = [(45 - 60) / 60] x 100 = -25 % (decrease)

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3 years ago

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