Scientific notation is a number greater than 0 and less than 10 multiplied by 10 to a power. The expression will be equal to the number given.
91007500
We move the decimal place first so that the number is within our range:
9.1007500
Then we count how many places we moved the decimal. In this case we moved it to the left 7 times, so our exponent of 10 will be 7
Therefore in scientific notation it is 9.1007500 x 10^7
Some teachers prefer to have scientific notation rounded off to the nearest 10th place, so that would be:
9.1 x 10^7
Parallel lines have same slope.
The slope would be y=3x
Perpendicular lines have opposite reciprocal for the slope.
The slope would be y=-4/3
Answer:
Marry's seat is units far from Betty's seat
Step-by-step explanation:
We are given that Class of Math is mapped on a coordinate grid and center point of the hall is at origin.
Coordinates of Mary's seat are (2,2) and Coordinates of Betty's seat are (6,7). We have to find how far is Mary's seat to Betty's seat. In order words, we have to find the distance between Marry's seat and Betty's seat.
Remember that whenever the coordinates of two points are given, the distance between them is calculated using the distance formula. The distance between two points and is given by distance formula as:
Here, the points with subscript 1 are initial points (2,2) and the point with subscript 2 are final points (6,7). Using these values in the formula, we get:
This means, Marry's seats is units far from Betty's seat
Answer:
a = -2
b = 1
c = 5
Step-by-step explanation:
Given:
2a + 4b + c = 5 ............(1)
a - 4b = - 6
or
a = 4b - 6 .............(2)
2b + c = 7
or
c = 7 - 2b ...........(3)
substituting 2 and 3 in 1, we get
2(4b - 6 ) + 4b + (7 - 2b) = 5
or
8b - 12 + 4b + 7 - 2b = 5
or
10b - 5 = 5
or
b = 1
substituting b in 2, we get
a = 4(1) - 6
or
a = -2
substituting b in 3, we get
c = 7 - 2(1)
or
c = 5
thus,
a = -2
b = 1
c = 5
Answer
$700
Step-by-step explanation:
From the Formula:
I = Pin
where : I - interest
P - principal
i - the interest rate
n - the number of years
I = Pin, plug in the given data as provided in the problem.
P = $8,000
i = 0.07 per yea
I = ($2,000)(0.07/year)(5 years)
= ($8,000)(0.07)(5)
= $2.800