divide and write your answer in scientific notation. be sure to write your answer with the multiplication 'x'. (8*10^5) divided by (20*10^7)
First, we need to divide the numbers: 8 divided by 20 is 0.4.
Then, we divide the powers of 10: (10^5)/(10^7) is equal to 10^(5-7) which is 10^(-2).
Now, we multiply the two results together: 0.4 x 10^(-2) = 0.4 * 0.01 = 0.004
Therefore, (8*10^5) divided by (20*10^7) = 0.004 in scientific notation.
1. find the distance between point A(5,8) and B(9,1). round your answer to the nearest tenth
The distance is about__units
2. find the value of x if A=3x, B=2x+4, and C=5x+6
x=__
3. order the scientific notation values into the correct order of largest to smallest.
8.24*10^8
7.4*10^9
7.4*10^8
4. write an equation from slope-intercept form (y=mx+b) from the table below.
x:
0
2
4
6
y:
5
1
-3
-7
the equation of the table above should be: y__x+__
1. To find the distance between points A(5,8) and B(9,1), we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values, we get:
Distance = √((9 - 5)^2 + (1 - 8)^2)
Distance = √(4^2 + (-7)^2)
Distance = √(16 + 49)
Distance = √(65)
Distance ≈ 8.1 units (rounded to the nearest tenth)
Therefore, the distance between points A(5,8) and B(9,1) is about 8.1 units.
2. Given A = 3x, B = 2x + 4, and C = 5x + 6, we can equate two of these expressions to find the value of x.
Let's equate A and B:
3x = 2x + 4
Subtracting 2x from both sides:
3x - 2x = 2x - 2x + 4
x = 4
Therefore, x = 4.
3. To order the scientific notation values from largest to smallest, we compare the coefficients (the numbers in front of 10):
7.4*10^9
8.24*10^8
7.4*10^8
Starting from the largest coefficient, the correct order is:
7.4*10^9, 8.24*10^8, 7.4*10^8
4. To write the equation from slope-intercept form (y = mx + b), we need to find the values of m (slope) and b (y-intercept).
Given the table of values:
x: 0, 2, 4, 6
y: 5, 1, -3, -7
We need to find the slope (m). Slope is determined by the change in y divided by the change in x. Using points (0, 5) and (6, -7):
m = (y2 - y1)/(x2 - x1)
m = (-7 - 5)/(6 - 0)
m = -12/6
m = -2
Now we can use the slope-intercept form (y = mx + b) and substitute the slope and any of the points to solve for b:
5 = -2(0) + b
5 = 0 + b
b = 5
Therefore, the equation for the table is:
y = -2x + 5
5. multiply and write your answer in scientific notation. be sure to write your answer with the multiplication 'x'.
(1.25*10^5)*(9.2*10^2)
__
6. solve the following inequality
5x+4 < 12
x < __
7. write in scientific notation 395,000,000
the number in scientific notation is__
8. order the scientific notation values in correct order from largest to smallest
3.4*10^-3
3.4*10^-1
3.4*10^-2
5. To multiply (1.25*10^5) and (9.2*10^2), we can multiply the coefficients and add the exponents:
(1.25*10^5)*(9.2*10^2) = (1.25*9.2)*(10^5 * 10^2) = 11.5 * 10^(5+2) = 11.5 * 10^7
Therefore, (1.25*10^5)*(9.2*10^2) = 11.5*10^7.
6. To solve the inequality 5x + 4 < 12, we need to isolate x.
Subtracting 4 from both sides:
5x + 4 - 4 < 12 - 4
5x < 8
Dividing both sides by 5:
(5x)/5 < 8/5
x < 8/5
Therefore, x < 1.6.
7. To write 395,000,000 in scientific notation, we need to move the decimal point so that there is only one non-zero digit to its left. This will result in a coefficient between 1 and 10.
395,000,000 = 3.95 * 100,000,000
In scientific notation, this is 3.95 * 10^8.
Therefore, 395,000,000 in scientific notation is 3.95*10^8.
8. To order the scientific notation values from largest to smallest, we compare the coefficients (the numbers in front of 10):
3.4*10^-3
3.4*10^-2
3.4*10^-1
Starting from the largest coefficient, the correct order is:
3.4*10^-1, 3.4*10^-2, 3.4*10^-3