Answer:
r = 2x + 7
Step-by-step explanation:
get r on one side
8x + 12 + 16 = 4r
divide both sides by 4 to get r by itself
8x/4 + 12/4 + 16/4 = 4r/4
2x + 3 + 4 = r
2x + 7 = r
or
r = 2x + 7
Answer:
∛3, ∛3 to the fourth power, 3³∕ ², 3³∕ ², radical 3 to the fifth power
Step-by-step explanation:
I'm going to convert all these to decimal form to make it easier.
3³∕ ² = 4.5
∛3 = 1.44
radical 3 to the fifth power= 15.60
∛3 to the fourth power= 4.33
Y-4=3(x+2)
y-4=3x+6
y = 3x +10
so in case of choise C. we get
4 = 3*(-2) +10
4 = -6 +10
4 = 4
hope this will help you
Answer:
Confidence Interval = (23.776, 24.224)
Step-by-step explanation:
Restaurant chain claims that its bottles of ketchup contain 24 ounces of ketchup on average.
⇒ Mean = 24 ounces.
Standard Deviation = 0.8
Number of bottles used for sample = 49
⇒ n = 49
Confidence level = 95%
Corresponding z value with 95% confidence level = 1.96
Now, confidence interval is given by the following expression :

Hence, Confidence Interval = (23.776, 24.224)
Using the given formula speed = distance over time:
Speed = 70 miles / 3 hours
Speed = 23.33 miles per hour
Convert miles per hour to meters per hour:
1 mile = 1609 meters:
23.33 miles x 1690 meters = 37,543.33 meters per hour.
Now convert meters per hour to meters per second:
1 hour = 3600 seconds:
37,543.33 / 3600 = 10.4 meters per second.