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Marta_Voda [28]
2 years ago
14

Match each scenario with the appropriate base that would be used to write the exponential equation.

Mathematics
1 answer:
FrozenT [24]2 years ago
6 0

Answer:

1. a (100% - 3% = 97%)

2. b (Triples ⇒ *3)

3. c (100% + 3% = 103%)

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Phil has drawn some house plans in which the lounge room will be 9.5 m long when it is built. This length has been drawn as 19cm
Monica [59]

Answer:

1:50 scale

Step-by-step explanation:

9.5m * 100 = 950cm

950/19 = 50

7 0
3 years ago
Consider the region bounded by 4y=x^2 and 2y=x.
gayaneshka [121]

Answer:

a) ⅓ units²

b) 4/15 pi units³

c) 2/3 pi units³

Step-by-step explanation:

4y = x²

2y = x

4y = (2y)²

4y = 4y²

4y² - 4y = 0

y(y-1) = 0

y = 0, 1

x = 0, 2

Area

Integrate: x²/4 - x/2

From 0 to 2

(x³/12 - x²/4)

(8/12 - 4/4) - 0

= -⅓

Area = ⅓

Volume:

Squares and then integrate

Integrate: [x²/4]² - [x/2]²

Integrate: x⁴/16 - x²/4

x⁵/80 - x³/12

Limits 0 to 2

(2⁵/80 - 2³/12) - 0

-4/15

Volume = 4/15 pi

About the x-axis

x² = 4y

x² = 4y²

Integrate the difference

Integrate: 4y² - 4y

4y³/3 - 2y²

Limits 0 to 1

(4/3 - 2) - 0

-2/3

Volume = ⅔ pi

7 0
3 years ago
The price of gasoline was 96¢ a gallon<br> before it went up 25%. How much did<br> it go up?
maria [59]
It went up 24c because 25% of 96c is 24c
5 0
3 years ago
Name two ways you might see decimals used outside schools.
Maru [420]

Answer:


Step-by-step explanation:

counting money after shopping or depositing money

6 0
3 years ago
Jared and Mike are racing
Deffense [45]
Mike will get there first with a time of 32 minutes and Jared with 40 minutes
8 0
2 years ago
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