Answer:
negative
Step-by-step explanation:
calculating the z score by subtracting the mean and dividing by the standard deviation
(55-70)/10= -1.5
It's negative
H(t) = -16t² + 60t + 95
g(t) = 20 + 38.7t
h(1) = -16(1²) + 60(1) + 95 = -16 + 60 + 95 = -16 + 155 = 139
h(2) = -16(2²) + 60(2) + 95 = -16(4) + 120 + 95 = -64 + 215 = 151
h(3) = -16(3²) + 60(3) + 95 = -16(9) + 180 + 95 = -144 + 275 = 131
h(4) = -16(4²) + 60(4) + 95 = -16(16) + 240 + 95 = -256 + 335 = 79
g(1) = 20 + 38.7(1) = 20 + 38.7 = 58.7
g(2) = 20 + 38.7(2) = 20 + 77.4 = 97.4
g(3) = 20 + 38.7(3) = 20 + 116.1 = 136.1
g(4) = 20 + 38.7(4) = 20 + 154.8 = 174.8
Between 2 and 3 seconds.
The range of the 1st object is 151 to 131.
The range of the 2nd object is 97.4 to 136.1
h(t) = g(t) ⇒ 131 = 131
<span>It means that the point where the 2 objects are equal is the point where the 1st object is falling down while the 2nd object is still going up. </span>
Answer:
Based on the model, the length of the wall is
ft, the width of the wall is
ft, and the height of the wall is
ft. The volume of the portion of security wall that Tim has constructed so far is
cu ft.
Step-by-step explanation:
Given:
The figure constructed shows a rectangular prism made up of small wooden cubes of length
.
Width of the prism =
.
To find length , height and volume of the figure.
Solution:
From the figure we can conclude that :
Length side of the prism counts 9 cubes.
Thus, length of the prism will be given as :
⇒ 
⇒ 
⇒
(Answer)
Height side of the prism counts 11 cubes.
Thus, height of the prism will be given as :
⇒ 
⇒ 
⇒
(Answer)
Volume of the prism can be given as :
⇒ 
⇒
⇒
(Answer)
ANSWER
The rule is given by the relation,

EXPLANATION
We need to check and see if there is a constant difference between the y-values.

We can see that, there is a constant difference of 2.
This means that the table represents a linear relationship.
Let the rule be of the form,

Then the points in the table should satisfy the above rule.
So let us plug in

This implies that,



Our rule now becomes,

We again plug in another point say, (-1,-1) in to equation (1) to get,

we solve for m now to obtain,



We now substitute back in to equation (1) to get
1/3day and 2/3 day
Hope I'm roght