If you would like to order the following values in descending order, you can do this using the following steps:
- 3/4 = - 0.75
1/8 = 0.125
- 0.735
7/8 = 0.875
1/80 = 0.0125
0.056
The result is: 7/8, 1/8, 0.056, 1/80, - 0.735, -0.75.
Answer:
B.The exponent of the solution is –12, the difference of the original exponents.
C.The coefficient of the solution must be greater than or equal to one but less than 10.
D.The quotient is 3.0 × ![10^{-12}](https://tex.z-dn.net/?f=10%5E%7B-12%7D)
Step-by-step explanation:
We are finding the quotient of the expression below in scientific notation
![\dfrac{9.6X10^{-8}}{3.2X10^4} \\=\dfrac{9.6}{3.2}X10^{-8-4}\\ =3 X 10^{-12}](https://tex.z-dn.net/?f=%5Cdfrac%7B9.6X10%5E%7B-8%7D%7D%7B3.2X10%5E4%7D%20%5C%5C%3D%5Cdfrac%7B9.6%7D%7B3.2%7DX10%5E%7B-8-4%7D%5C%5C%20%3D3%20X%2010%5E%7B-12%7D)
The following conclusions can be drawn
B.The power of 10 in the solution is –12, the difference of the original exponents.
C.The coefficient is 3, which is greater than or equal to one but less than 10.
D.The quotient is 3.0 × ![10^{-12}](https://tex.z-dn.net/?f=10%5E%7B-12%7D)
Answer:
C
Step-by-step explanation:
Because I know
Answer:
![\$284.77](https://tex.z-dn.net/?f=%5C%24284.77)
Step-by-step explanation:
we know that
The equation of a exponential growth function is equal to
![y=a(1+r)^x](https://tex.z-dn.net/?f=y%3Da%281%2Br%29%5Ex)
where
y is the price in dollars
x is the number of weeks
a is the initial value
r is the rate of change
we have
![a=\$25](https://tex.z-dn.net/?f=a%3D%5C%2425)
substitute
![y=25(1+r)^x](https://tex.z-dn.net/?f=y%3D25%281%2Br%29%5Ex)
Remember that
one week later, the price is $37.50
so
we have the ordered pair (1,37.50)
substitute in the exponential function
![37.50=25(1+r)^1](https://tex.z-dn.net/?f=37.50%3D25%281%2Br%29%5E1)
solve for x
![37.50=25(1+r)\\r=(37.50/25)-1\\r=0.5](https://tex.z-dn.net/?f=37.50%3D25%281%2Br%29%5C%5Cr%3D%2837.50%2F25%29-1%5C%5Cr%3D0.5)
substitute
![y=25(1+0.50)^x](https://tex.z-dn.net/?f=y%3D25%281%2B0.50%29%5Ex)
![y=25(1.50)^x](https://tex.z-dn.net/?f=y%3D25%281.50%29%5Ex)
For x=6 weeks
substitute the value of x
![y=25(1.50)^6=\$284.77](https://tex.z-dn.net/?f=y%3D25%281.50%29%5E6%3D%5C%24284.77)
Answer:
24 degrees
Step-by-step explanation:
The sum of the exterior angles of a triangle is 360 degrees
2x + 6x + 7x = 360
15x = 360
x = 24