Answer: 16.33 feet/s
Explanation:
1) Data:
a) circular motion
b) revolutions: 12 rpm
c) r = 15 feet
d) v = ?
2) Formulae:
angular velocity: ω = number of rpm × 2π / 60 seconds
linear velocity: v = ω × r
3) Solution:
ω = 12 × 2π / 60 s = 0.4π rad / s
v = 0.4π rad / s × 13 feet = 5,2 π feet / s ≈ 5,2 (3.14159) feet / s = 16.33 feet/s.
That is the answer.
It's 36 because f(x)=4 has a y-intercept of 4 and g(x)=2x2-13x+9 has a y-intercept of 9.
Product is a term of muptiplication and 9x4 is 36.
Complete question :
The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is ý = -0.36x + 94.5.
Video Games (Minutes) Time with Family (Minutes)
40 80
55 75
70 69
85 64
A) According to the line of best fit, the predicted number of minutes spent with family for someone who spent 36 minutes playing video games is 81.54.
B) Is it reasonable to use this line of best fit to make the above prediction?
Answer:
81. 54
4) The estimate, a predicted time of 81.54 minutes, is both reliable and reasonable.
Step-by-step explanation:
Given that :
The equation of best fit is defined as :
ý = -0.36x + 94.5.
A.) Predicted number of minutes spent with family (y) for someone who spends 36 minutes playing games (x) will be :
x = 36
From the model :
ý = -0.36(36) + 94.5
y = - 12.96 + 94.5
y = 81.54
Hence.nunber of minutes spent with family = 81.54 minutes.
B.) The correlation Coefficient for the model is - 0.9993, which indicates a very strong negative relationship between both variables. Hence, using this fact, we can conclude that the prediction is reliable. From the data also, spending 36 minutes playing games means such individual will have more time than someone who plays games for 40 minutes, hence, the prediction is also reasonable.
Bobby has 24 pizza slices
he divided them among his friends and each friend got 3 pieces
how many friends did he have
so
24 divided by number of friends=3
24/y=3
multiply both sides by y
24y/y=3y
24 times y/y=3y
24 times 1=3y
24=3y
divide both sides by 3
24/3=3y/3
8=3/3y
8=1y
y=8
8 friends
Answer:
16
Step-by-step explanation:
48/12=4 bottles per day
4x4=16
