To find the answer,we can set an equation:
Let the time he used to drive in the afternoon be y miles.
Time used in the afternoon = y
Time used in morning = y - 70
Total time used = 248
The value of y:
y + (y - 70) = 248
2y-70 = 248
2y = 248+70
2y = 318
y = 318/2
y = 159
Therefore, he droved 159 miles in the afternoon.
Hope it helps!
D. 25% as there are 8 sections and two wanted outcomes this can be simplified into a 1/4 so 1/4=25%
(9)^4 × (27)^3 × (81)^2 / (3)^24 = 3.
Explanation:
- All the numbers in the numerator i.e. 9, 27, 81 are multiples of 3.
- 9 = 3 × 3 = 3², 27 = 3 × 3 × 3 = 3³, 81 = 3 × 3 × 3 × 3 =
. 
= (3^2)^4, 27³ = (3^3)^3, 81^2 = (3^4)^2.- According to the power rule, (a^x)^y = a^xy.
- So the given numbers can be written as follows = 3^8, 27³ = 3^9 and 81² = 3^8.
- According to the product rule, (a^x) × (a^y) = a^xy.
- So the numerator can be written as × 27³ × 81² = (3^8) × (3^9) × (3^8) = 3^(8+9+8) = 3^25.
- So the fraction becomes 3^25 / 3^24 = 3 × 3^24 / 3^24 = 3.
Ans: f(x)=7sin(4pix) + 3
We see the period, which is equivalent to 2pi divided by the coefficient of the argument of the trigonometric function, is 1/2 since 2pi/4i = 1/2
We see the maximum value of f(x) is 10 since sin(x) is bounded such that -1 < sin(x) < 1, therefore -7 < 7sin(x) < 7. And since we are adding 3 at the end of the equation, we can say the graph of 7sin(x) is shifted vertically 3 units, thus we have a max value of 10 and min value of -4 ( -4 < 7sin(x) + 3 < 10)
The y-intercept is seen as 3 since the sine function, at 0 radians i.e. x=0, has a value of 0 at the origin, this from the +3, we see the y-value of f(x) at the origin is 3.
The answer to this problem is that they are parallel.
