The amount of water four runners drank are shown at the right. Who drank the most?

-2(csc2θ - cot2θ)<br> - 1 <br> -2<br> -3<br> -1

Lorico [155]

Answer:

- 2

Step-by-step explanation:

$- 2( { \csc}^{2} \theta \: - {cot}^{2} \theta) \\ = - 2(1) \\ = - 2$

8 0

3 years ago

Rosie is a real estate agent and is paid the following for commission on sales: 4% for the first $50,000, 2% for the next $100,0

Elena-2011 [213]

Answer:

22,000

Step-by-step explanation:

4%/100=0.04

0.04*50,000=20,000 || 130,000-50,000=80,000 ||

2%/100=0.02

0.02*100,000= 2,000 || 80,000 - 100,000 ||

To explain it simply, Rosie receives 20,000 in commission for the first 50,000 of the sale. However, she sold a property for 130,000 meaning she also receives 2,000 for the next 100,000. Therefore she receives $22,000 in total on her $130,000 sale.

6 0

3 years ago

In a movie theater, the number of seats in a row is 8 greater than the total number of rows. How many rows are in the movie thea

Harman [31]

Answer:

26 rows

Step-by-step explanation:

this is like a rectangle length×width situation.

seats per row = s

number of rows = r

s × r = 884

s = r + 8

so, we can use e.g. the second equation in the first :

(r + 8) × r = 884

r² + 8r = 884

r² + 8r - 884 = 0

the general solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = r

a = 1

b = 8

c = -884

r = (-8 ± sqrt(8² - 4×1×-884))/(2×1) =

= (-8 ± sqrt(64 + 3536))/2 = (-8 ± sqrt(3600))/2 =

= (-8 ± 60)/2 = -4 ± 30

r1 = -4 + 30 = 26

r2 = -4 - 30 = -34

a negative number did not make any sense for the number of rows, so r = 26 is our answer.

8 0

2 years ago

Determine which expression has the greatest value.

fgiga [73]

Well D I would think because 52 is greater than the other number :)
Hope this helps ^W^

8 0

3 years ago

Read 2 more answers

6) (after 2.3) Consider the infinite system of linear equations in two variables given by ax + by = 0 where (a, b) moves along t

Paraphin [41]

Answer:

Step-by-step explanation:

Given infinite system of linear equations is ax + by = 0

when (a,b) moves along unit circle in plane.

a) system having unique system (0, 0)

Since two of equation in thus system will be

$1.x+0.y=0\\x=0$

and

$0.x+1.y=0\\y=0$

It is clear that x = 0, y= 0 is the only solution

b) Linear independent solution in this system gives some set of solutions

$1.x+0.y=0\\\x=0$

and

$0.x+1.y=0\\y=0$

Vector form is

$\left[\begin{array}{ccc}1&0\\0&1\end{array}\right] =I$

c) for this equation if add 0x +0y = 0 to system , Nothing will change

Because [0,0] satisfies that equation

d) If one of the equation is ax + by = 0.00001

where 0.00001 is small positive number

so, the system will be inconsistent

Therefore, the system will have no solution.

6 0

3 years ago