Answer:
Rotation 180° counterclockwise about the origin
Questions 1, 2, 3, and 4 are exercises to give you practice with
common denominators. For each of these questions, change all
the fractions to common denominators, and the answers jump out at you.
#1). 5/12 = 25/60
2/5 = 24/60
Make um negative, and then you'll have the answer right away.
#2). The one that's negative is obviously the least.
Both positive ones must be bigger than the negative one.
For the positive ones:
2/5 = 6/15
2/3 = 10/15 .
Now it's easy.
#3). This is tough. The least common denominator is 2,520 !
It's probably easier to just do the divisions and get the decimals
for each fraction.
-5/8 = -0.625
-7/9 = -0.777...
-4/5 = -0.8
-3/7 = -0.428...
Now it's easy to line um up.
#4). Sneaky one.
Look closely at each fraction.
B, C, and D are all less than 1, so they're not between 1 and anything more than 1.
8/5 is the only one that's more than 1.
#5). A fraction is just a short way to write a division problem.
When you see a fraction, it means
"the top number divided by the bottom number" .
When you actually do the division, the quotient you get
is the decimal form of the fraction.
To change a decimal into a percent,
move the decimal point two places that way ==> .
The numbers in the boxes at the bottom of #5 are the correct numbers,
but they both should be negative. (because the -3/8 is negative)
Answer:
Step-by-step explanation:
(a - b)² = a² + 2ab + b²
Area of square frame =side²
= (2b - 1)²
= (2b)² - 2*2b * 1 + 1²
= 4b² - 4b + 1
Answer:
834 chirps
Step-by-step explanation:
Given the data:
Chirps in 1 min Temperature (°F)
781 74
1039 85.9
1156 87.2
1218 87.8
1131 91.4
888 75.5
Using technology, the regression model obtained will be in the form :
y = bx + c
b = slope ; c = intercept
y = temperature ; x = chirps per minute
The regression model is :
ŷ= 43.28 + 0.0390x
If outside temperature, y = 76 ; x will be ;
76 = 43.28 + 0.0390x
76 - 43.28 = 0.0390x
32.72 = 0.0390x
x = 32.72 / 0.0390
x = 838.97435
x = 834 chirps per minute
