Answer:
52.195 miles
Step-by-step explanation:
84 km to miles is 52.195 miles
Answer:
The domain that makes sense for this function is all values greater than or equal to 0.
Step-by-step explanation:
A ball is thrown into the air from a height of 4 feet at time <em>t</em> = 0. It is modeled by the function:
The domain of the function is time <em>t</em>. The range of the function is the ball's height in the air <em>h</em>.
Since time is our domain, we must restrict our domain to values equal to or greater than 0 since time cannot be negative.
Therefore, the domain that makes sense for this function is all values greater than or equal to 0.
In interval notation, this is:
And as an inequality:
Answer: shifted left 6 units, down 4 units, and reflected over the x-axis
<u>Step-by-step explanation:</u>
The vertex form of a quadratic equation is: y = a(x - h)² + k where
- "a" is the vertical stretch
- -a is a reflection over the x-axis (+a = U-shape), -a = ∩-shape)
- (h, k) is the vertex
- h is the horizontal shift (positive = right, negative = left)
- k is the vertical shift (positive = up, negative = down)
Given: Vertex (h, k) = (-6, -4)
Parabola is ∩-shaped so "a" is negative
Next points from vertex are 1 down 1 right and 1 down 1 left --> a = -1
Input a = -1, h = -6, k = -4 into the Vertex form:
y = -(x + 6)² - 4
a = -1: reflected over the x-axis
h = -6: shifted left 6 units
k = -4: shifted down 4 units
Answer:
Step-by-step explanation:
each box is 375 grams...and there are 28 boxes
total mass(m) = 28 * 375 = 10,500 grams
Answer:
Basically it has to be divisible by 8, 9, and 10 because any number that is divisible by 2, 3, 4, 5, 6 must also be divisible by 8, 9 and 10. We know that the number has to end in 0, the sum of its digits must be divisible by 9 and the last three digits must be divisible by 8. Therefore, the smallest number is 10080 and the largest is 999360.