Log(10^-3) = log(0.001) = -3, and there are 3 zeros inclusive of the 0 before the decimal.
Answer:
d) 3 feet by 4 feet
Step-by-step explanation:
Volume of the prism = 48 feet³
Height if the prism = 4 feet
To determine the possible values of the length and width of the prism let's divide the volume by the height.
So 48/4 = 12
So we'll be looking for a product of two numbers to give us 12
And it's between 12 and 1, 4 and 3 , and 6 and 2.
We have only 4 and 3 in the option.
Full Question
A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t = 0, the resulting mass—spring system is disturbed from its rest state by the force F (t) = 20 cos(8t). The force F (t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds.
Determine the spring constant k.
Answer:
Spring Constant = 1000Nm^-1
Step-by-step explanation:
Given
Mass = 10kg
Spring Extension = 9.8cm
Spring Constant K = Force/Extension
Force = Mass * Acceleration
Force = 10 * 9.8 = 9.8N
Spring Extension = 9.8 cm = 9.8 /100 = 0.098 m
Spring constant = 98 / 0.098
Spring Constant = 1000Nm^-1
The relationship of the ordered pair that represents Mallory savings is a nonlinear relationship.
Let x represents the number of weeks, and y represents the amount put in the jar, each week.
So, we have the following highlights for 6 weeks.
- Week 1: (1, 1)
- Week 2: (2,2)
- Week 3: (3,4)
- Week 4: (4,8)
- Week 5: (5,16)
- Week 6: (6,32)
The ordered pairs can then be represented as:
As the x values increase, the y values increase too, but the y values do not increase at a constant rate.
This means that the relationship is not linear; it is an exponential relationship.
Hence, the relationship is a nonlinear relationship.
Read more about linear relationships at:
brainly.com/question/7040405
8x - 3/x
x = 1/2
(8 • 1/2) - 3/0.5
4 - 1.5
2.5
