The answer is three significant figures. The 1 and the 7 are both significant, because they are non-zero quantities.
This is where significant figures gets a little more complicated, because if a zero is used as a placeholder (i.e. 0.00027 cm) then it is insignificant.
But in the case above, the zero isn't being used as a placeholder, and thus, is significant.
The answer is 4. If the relay is 1/4 mile, and each person runs 1/16 mile, then to get the answer you divide 1/4 by 1/6 and get 4. 4 people would be needed to run this relay. Hope this helps! :)
Answer:
Tara is 27 and Adam is 31.
Step-by-step explanation:
Tara: x years old
Adam: x+4
Subtract the five years to get their current age
x-5 and x+4-5
x-5 and x-1
(x-5) + (x-1) = 48
x-5 + x-1 = 48
2x - 6 = 48
2x= 48+6
2x= 54
x= 27
Tara is 27 and Adam is 31
Answer:
(Amplitude) (Correct answer: 1)
(Angular frequency) (Correct answer: 2)
(Phase shift) (Correct answer: 3)
(Vertical shift) (Correct answer: 4)
(Period) (Correct answer: 5)
Step-by-step explanation:
The general form of a sinusoidal function is represented by the following characteristics:
(1)
Where:
- Amplitude.
- Angular frequency.
- Phase shift.
- Vertical shift.
- Independent variable.
- Dependent variable.
In addition, we know that the period associated with the sinusoidal function (
) is:

By direct comparison, we get the following conclusions:
(Amplitude) (Correct answer: 1)
(Angular frequency) (Correct answer: 2)
(Phase shift) (Correct answer: 3)
(Vertical shift) (Correct answer: 4)
(Period) (Correct answer: 5)
Hello!
Let's start by finding the slope of the line. You can calculate the slope by dividing the change in y-values by the change in x-values using the following formula:

The plotted coordinates are (0, 5) and (4, -5); let's plug those into the formula:

Simplify:



The slope is

.
Now, the y-intercept is where the line intersects the y-axis, or when x equals 0. x equals 0 when y equals 5, so the y-intercept is 5.
I hope this helps!