Answer:
0.125 seconds.
Step-by-step explanation:
We have been given that the height of a ball above the ground as a function of time is given by the function
, where h is the height of the ball in feet and t is the time in seconds.
We can see that our given equation is a downward opening parabola as its leading coefficient is negative. The maximum point will be vertex of parabola.
To find the time, when the ball would be at its maximum height, we need to find the x-coordinate of vertex.
Using formula
, we will find the x-coordinate of vertex of parabola as:





Therefore, the ball will be at a maximum height after 0.125 seconds.
Answer:
Simplifying
logx + -4 = 0
Reorder the terms:
-4 + glox = 0
Solving
-4 + glox = 0
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + glox = 0 + 4
Combine like terms: -4 + 4 = 0
0 + glox = 0 + 4
glox = 0 + 4
Combine like terms: 0 + 4 = 4
glox = 4
Divide each side by 'lox'.
g = 4l-1o-1x-1
Simplifying
g = 4l-1o-1x-1
Hey there!
2ab + 2 / 2ab - 2
= 2(1)(3) + 2 / 2(1)(3) - 2
= 2(3) + 2 / 2(3) - 2
= 6 + 2 / 6 - 2
= 8 / 4
= 2
Therefore, your answer should be: 2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The quantity of pounds of pencils that Jason gets, based on his sharing ratio, is <u>0.15 pounds</u>.
<h3>What is the sharing ratio?</h3>
The sharing ratio is the percentage or ratio that is held by a person out of the total value of the thing being shared.
Jason's share of the pencil can be determined by multiplying the total pencils in the box (1.5 x ¹/₂) by Jason's sharing ratio (¹/₅).
<h3>Data and Calculations:</h3>
Quantity of pencils bought = 1.5 pounds
Half of the pencils in a box = 0.75 pounds (1.5 x ¹/₂)
The pounds got by Jason from the box = <u>0.15 </u>(0.75 x ¹/₅)
Thus, the quantity of pounds of pencils that Jason gets is <u>0.15 pounds</u>.
Learn more about sharing ratios and ratios at brainly.com/question/26254916
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EXPLANATION
Let's see the facts:
$Sandwiches= 3*$Salads
Bill = $24.92
We can represent this in an equation:
Total Bill = Sandwiches + Salads
Let's call to Sandwiches "x" to Salads "y" and to Bill "B"
Then, the equation will be:
B = x+y = (3*y) + y
Applying distributive property:
24.92 = 3y + y
Adding similar terms:
24.92 = 4y
Dividing both sides by 4:
6.23 = y
Switching:
y=6.23
As we know, y variable represent the salads cost, so:
Answer is $6.23.