<b and the angle 79 degrees are exterior alternate angles which are equal
b = 79 degrees.
<span>The car will stop in 140.625 ft
</span>
Answer:
The value of f(3) is 8 ⇒ D
Step-by-step explanation:
- In the function f(x) = y, y is the corresponding value of x
- Ex: If f(a) = b, then the value of y = b at x = a
Let us solve the question
∵ The given figure represents the function f(x)
→ That means every point on the graph represents f(x) = y
∴ f(x) = y
∵ We need to find f(3)
→ That means we need the value of y at x = 3
∴ x = 3
Look at the graph and find the y-coordinate of the point that lies on the curve and has x-coordinate = 3
→ Each small square on the x-axis represents 1 unit, and on the y-axis
represents 2 units
∵ There is a point on the graph that has x-coordinate = 3
∵ The y-coordinate of this point is 8
∴ The point (3, 8) lies on the graph of f(x)
∴ x = 3 and y = 8
∴ f(3) = 8
∴ The value of f(3) is 8
Five raised to the fifth power 5^5 5*5*5*5*5 = 3,125
a = amount (in oz) of solution A
b = amount of solution B
The scientist wants a mixture of 110 oz, so
a + b = 110
Solution A consists of 65% salt, so each ounce of solution A contributes 0.65 oz of salt; similarly, each ounce of B contributes 0.9 oz. The mixture is supposed to consist of 75% salt, which amounts to 0.75 * (110 oz) = 82.5 oz of salt. So
0.65 a + 0.9 b = 82.5
Solve for a and b:
b = 110 - a
0.65 a + 0.9 (110 - a) = 82.5
0.65 a + 99 - 0.9 a = 82.5
0.25 a = 16.5
a = 66 ==> b = 44
