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2 years ago

What is (8a+2b-(2a-5b) ?

Mathematics

1 answer:

inysia [295]2 years ago

7 0

8a+2b * -2a + 5b (since there's an invisible -1, at least the 1 is) so the product of that is -16a^2 + 10b^2

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A group of women tried five brands of fingernail polish and ranked them according to preference. What level of measurement is th

diamong [38]

Answer: Ordinal

Step-by-step explanation:

We know that the ordinal scale is a level of measurement which is used when we are ordering attributes according to their ranks or preferences.

For example : In an exam we arrange position of students as :

First > Second > Third and so on.

Given : A group of women tried five brands of fingernail polish and ranked them according to preference. It means she is arranging the brands in an order .

Thus this is an ordinal level of measurement .

5 0

3 years ago

g My Notes Water flows from the bottom of a storage tank at a rate of r(t) = 200 − 4t liters per minute, where 0 ≤ t ≤ 50. Find

Arada [10]

Answer:

4,200 liters

Step-by-step explanation:

The flow rate is given by:

$r(t) = 200 - 4t$

Integrating the flow rate expression from t=0 to t=30 minutes, yields the total volume that flows out of the tank during that period:

$\int\limits^{30}_0 {r(t)} = \int\limits^{30}_0 {(200 - 4t} )\, dt \\V=(200t - 2t^2)|_0^{30}\\V= (200*30 -2*30^2)-(200*0 -2*0^2)\\V=4,200\ liters$

4,200 liters of water flow from the tank during the first 30 minutes.

3 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

Suppose that the height (in centimeters) of a candle is a linear function and the amount of time (in hours) it has been burning.

lisabon 2012 [21]

Answer: cockme

Step-by-step explanation:

cockme

4 0

3 years ago

What is the lmc of two numbers that have no common factors greater then 1

Luba_88 [7]

We can take prime numbers so they don't have a common factor other than 1.

3, and 5.

So we have to list the multiples to find the LCM

3: 3, 6, 9, 12, 15, 18
5: 5, 10, 15, 20, 25

15 is the LCM of 3 and 5

So, you can notice that if two numbers, lets call them a and b, have no common factor, then $a \times b$ is the LCM.

Hope that helped :)

6 0

3 years ago