What is 0.0003124 in scientific notation?
2 answers:
Answer:
3.124*
Step-by-step explanation:
In order to find the scientific notation of a number, you must move the decimal point to the right of the first significant (not 0) number. In this problem, you have to move the decimal 4 points to the right, which means that you would multiply the resulting number by ten to the negative fourth. If you were to move the decimal four points to the left, you would multiply the resulting number by ten to the fourth instead.
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I have added a screenshot with the complete question.
Answer:
At least 7 more students need to sign up for the field trip to be scheduled
Explanation:
Assume that the least number of students remaining to register for the trip to be scheduled is x.
total number of students = students who already registered + x
We are given that, the least number of students required for this trip is 30. This means that:
total number of students ≥ 30
Now, we know that 23 students already registered.
The inequality now is:
x + 23 ≥ 30
x ≥ 30 - 23
x ≥ 7
This means that at least 7 more students must register for the trip to be scheduled.
Hope this helps :)
Answer:
At least 7 more students need to sign up for the field trip to be scheduled
Explanation:
Assume that the least number of students remaining to register for the trip to be scheduled is x.
total number of students = students who already registered + x
We are given that, the least number of students required for this trip is 30. This means that:
total number of students ≥ 30
Now, we know that 23 students already registered.
The inequality now is:
x + 23 ≥ 30
x ≥ 30 - 23
x ≥ 7
This means that at least 7 more students must register for the trip to be scheduled.
Hope this helps :)
For this case we have that by definition, an equation of the second degree is given by:
We have the following equation:
Then, according to the definition above, we have to:
Thus, b equals 5.
Answer:
Option C
Answer:
x = 30 and x = 3 both solve the equation correctly. See work below.
Step-by-step explanation:
The very first step is to realize that p(x) is in hundreds of dollars and that the given number is not. 60000 is not in hundreds of dollars. It is in dollars. 60000 dollars = 60000/100 = 600 hundreds of dollars.
Make the polynomial = 600
-x^3+3x^2+900x-2100 = 600 Subtract 600 from both sides
-x^3+3x^2+900x-2100 - 600 = 0 Combine
-x^3+3x^2+900x- 2700 = 0 Group the first and second term and the Thrid and fourth terms.
(-x^2 + 3x^2) + (900x - 2700) = 0 Bring out the common factors from both groups.
-x^2(x - 3) + 900(x - 3) = 0 Factor out x - 3 on both sides of the plus sign
(- x^2 + 900)(x - 3) = 0 Reverse -x^2 + 900 to 900 - x^2
(900 - x^2)(x - 3) = 0 factor (900 - x^2) using the difference of squares
(30 - x)(30 + x) (x - 3) = 0
The two answers that work are
30 - x = 0 Solve
- x = - 30 Divide by - 1
-x/-1 = -30/-1 Combine
x = 30
============
x - 3 = 0
x = 3
===========
There are two values that will work to give p(x) = 600. There is no way to account for why both values work.
The graph below confirms both answers.
