Cos theta = -5/6
180° <0<270°
Answers
Answer:choccy milk solve all yo problems
pop a choccy milk
Related Questions
I need help with 18 and 19 please
Ranger says the expression is not in its simplest form. He thinks the two terms need to be combined. Is Ranger right that 8x − 20 can be simplified further?
Bella pays 7 payments of 5$ each to a game store. She returns one game and receives 20$ back. What is the change to the amount of money she has?
The deegree measures of two opposite angles of a parallelagram are represcented by 2n+30 and n+45. Find n
Answers
Answers
Answer:
1
Step-by-step explanation:
Anything raised to 0 is 1
Answers
Answers
hopefully this helps you and gives you insight in how to solve the problems from now on (:
= $11.8 + (2012-1997)([$11.8-$7.4][1997-1990])
= $11.8 + 5 ($4.4/7)
= $11.8 4/5 + $22/7
= $59/5 + $22/7
= $413/35 + $110/35
= $523/35 or $14 33/35
answer : SALES IN 2012 WOULD BE $14 33/35 BILLION OR $14.9 3/7
Final answer:
A linear model representing retail sales at bookstores from 1990 through 1997 is s(T) = 0.63T + 7.4. The estimated sales at bookstores in 2012 would be approximately $21.46 billion.
Explanation:
To solve this problem, we need to create a linear model. A linear model is a mathematical representation expressed as y = mx + b, where m is the slope, and b is the y-intercept.
To determine the slope (m), we subtract the ending value of retail sales from the starting value and divide by the number of years. So, subtract $7.4 billion (sales in 1990) from $11.8 billion (sales in 1997) and divide by 7 (the number of years from 1990 to 1997): (11.8 - 7.4) / 7 = 0.63. So, m = 0.63.
The y-intercept (b) is the value of y when x = 0. In this model, this corresponds to the sales in 1990, because x is the number of years since 1990, and 'x = 0' therefore corresponds to the year 1990. So, b = $7.4 billion.
The final linear model for retail sales at bookstores from 1990 through 1997 is s(T) = 0.63T + 7.4.
To estimate the retail sales at bookstores in 2012, we plug T = 22 (because 2012 is 22 years after 1990) into our linear model: s(22) = 0.63*22 + 7.4 ≈ $21.46 billion. So, the estimated retail sales in bookstores in 2012 were about $21.46 billion.
Learn more about Linear Models here:
#SPJ2
Answers
let the two numbers be x and y.
Multiply to 44. x*y = 44 ..........(a)
Add up to 12. x + y = 12 .........(b)
From (b)
y = 12 - x .......(c)
Substitute (c) into (a)
x*y = 44
x*(12 - x) = 44
12x - x² = 44
-x² + 12x = 44
-x² + 12x - 44 = 0.
Multiply both sides by -1
-1(-x² + 12x - 44) = -1*0
x² - 12x + 44 = 0.
This does not look factorizable, so let us just use quadratic formula
comparing to ax² + bx + c = 0, x² - 12x + 44 = 0, a = 1, b = -12, c = 44
x = (-b + √(b² - 4ac)) /2a or (-b - √(b² - 4ac)) /2a
x = (-(-12) + √((-12)² - 4*1*44) )/ (2*1)
x = (12 + √(144 - 176) )/ 2
x = (12 + √-32 )/ 2
√-32 = √(-1 *32) = √-1 * √32 = i * √(16 *2) = i*√16 *√2 = i*4*√2 = 4i√2
Where i is a complex number. Note the equation has two values. We shall include the second, that has negative sign before the square root.
x = (12 + √-32 )/ 2 or (12 - √-32 )/ 2
x = (12 + 4i√2 )/ 2 (12 - 4i√2 )/ 2
x = 12/2 + (4i√2)/2 12/2 - (4i√2)/2
x = 6 + 2i√2 or 6 - 2i√2
Recall equation (c):
y = 12 - x, When x = 6 + 2i√2, y = 12 - (6 + 2i√2) = 12 - 6 - 2i√2 = 6 - 2i√2
When x = 6 - 2i√2, y = 12 - (6 - 2i√2) = 12 - 6 + 2i√2 = 6 + 2i√2
x = 6 + 2i√2, y = 6 - 2i√2
x = 6 - 2i√2, y = 6 + 2i√2
Therefore the two numbers that multiply to 44 and add up to 12 are:
6 + 2i√2 and 6 - 2i√2
No solutions in real numbers.
In complex numbers:
These numbers are
solve the system of linear equations