Answer:
4 mph
Step-by-step explanation:
The average speed of an object is given by the total distance covered by the time taken:
where
d is the total distance covered
t is the time taken
in the first part, the person runs for 0.4 hours at a speed of 7 mph, so the distance covered in the 1st part is
Then the distance covered in the second part is 
, so the total distance is
(1)
The total time elapsed is 0.4 hours (first part) + 0.8 hours (second part), so
So we can write the average speed as
(1)
We want the average speed to be 5 mph,
v = 5 mph
Therefore we can rearrange eq.(1) to find d2:
And therefore, the speed in the second part must be
The standard form of the circle equation 4x² + 8x + 4y² + 32y +52 = 0 is (x + 1)² + (y + 4)² = 2²
<h3>What is a circle?</h3>
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have an equation that represents the circle:
4x² + 8x + 4y² + 32y +52 = 0
Divide by 4 on both the sides:
x² + 2x + y² + 8y + 13 = 0
x² + 2x + 1 - 1 + y² + 8y + 4² - 4² + 13 = 0
x² + 2x + 1 + y² + 8y + 4² - 1 - 16 + 13
(x + 1)² + (y + 4)² = 4
(x + 1)² + (y + 4)² = 2²
Thus, the standard form of the circle equation 4x² + 8x + 4y² + 32y +52 = 0 is (x + 1)² + (y + 4)² = 2²
Learn more about circle here:
brainly.com/question/11833983
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Answer:
-50
Step-by-step explanation:
-32 + ( -18 )
= - 32 - 18
= -50
Hope this helps!
Answer:
A. The first equation is for sample data; the second equation is for a population.
Step-by-step explanation:
The first equation is y = 
, this is the equation for sample data as the intercept (
) and the slope parameter(
) both are calculated then we have got this and these values are not taken as given.
The Second equation is 
, this is the equation for population data as we can't calculate these 
and 
as we take these values as given and also we do testing for 
parameter using t test and it is sure that testing is always done on population data not on sample data.
The P is 16x^2 -12 and Perimeter is the distance around the edge of a shape. So you divide your equation by 4 and the answer you get is 4x^2 - 3
