Multiply r^2+7r+10/3 by 3r-30/r^2-5r-50
<span>=( r^2+7r+10)/3 (3r-30)/(r^2-5r-50) </span>
<span>=(r+2)(r+5)/3 3(r+10)/ (r-10)(r+5) </span>
<span>=3 (r+2)(r+5)(r+10)/3(r-10)(r+5) </span>
<span>=(r+2)(r+10)/(r-10)</span>
Answer:
I only know the answer to part A. The triangles ARE similar and they ARE congruent.
Step-by-step explanation:
The big triangle has 75° and 60°.
The little triangle has 75° and 45°
75°+60°+45° = 180°
45° is the missing interior angle for the big triangle.
75°+45°+60° = 180°
60° is the missing interior angle for the little triangle.
To find half of 750, divide it by 1/2.
So,
750 ÷ 1/2
750/1 ÷ 1/2
750/2
= 375.
CROSS CHECK!
375 × 2 = 750.
Answer: A. H0: Mean= 5 and Ha: Mean is not equal to 5.
Step-by-step explanation:
Definitions:
- Null hypothesis is a statement describing population parameters according to the objective of the study. It takes "≤,≥,=" signs.
- Alternative hypothesis is a statement opposite to the null hypothesis elaborating population parameters according to the objective of the study. It takes ">, <, ≠" signs.
Given: The diameter of a spindle in a small motor is supposed to be 5.8 millimeters.
If the spindle is either too small or too large, the motor will not work properly. so, Mean diameter ≠ 5.8 to work correctly.
i.e.
So,
The required null and alternative hypotheses:
H0: Mean= 5 and Ha: Mean is not equal to 5.
Answer:
g(3) = 10.4
Step-by-step explanation:
g(1)=4
g(n)=g(n-1)+3.2
We need to find g(2)
g(2)= g(2-1)+3.2 = g(1) +3.2 = 4+3.2 = 7.2
Now we can find g(3)
g(3)= g(3-1)+3.2 = g(2) +3.2 = 7.2 +3.2 = 10.4