Answer:
3 7/16 cups
Step-by-step explanation:
5 1/2 x 5/8 = 55/16 = 3 7/16
The ball's maximum height is 30.25 feet.
<h3>What is quadratic equation?</h3>
A quadratic equation in math is a second-degree equation of the form ax² + bx + c = 0. Here a, b, are the coefficients, c is the constant term, and x is the variable.
Given:
h= -16t²+36t+10
Differentiate w.r.t. 't',
h' = -32t+36
When h=0, that will be the maximum height
32t= 36
t= 9/8
t= 1.125 sec.
So, The maximum height is
h(1.123)= -16(1.125)² + 36*1.125+10
h(1.125) = 30.25 feet.
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Answer:
y = -9
Step-by-step explanation:
divide by 5 first
y + 2 = -7
-2
y = -9
Answer:
1.49 hrs or 1 hr and 30 minutes approximately
Step-by-step explanation:
if fran go 2.8m up then the river flow at a rate of 0.8m; the since we are taking the speed of fran and river to be constant. the ratio between their speed will always remain constant. that is if 0.8/2.8 = 0.286≈ this will be always constant.
so if he go up 4m then the horizontal length has to be 1.143 because 1.143/4 = 0.286.
now we find the distance between frans initial positon and final position. to find it we use pythagoras theorem.
to find the time divide distance traveled by speed;
4.160/2.8 = 1.49 hrs
Okay, we know that the expenses for the day is 210.
Knowing this, and the price of the taco, we write the inequality:
3.25t > 210
t = number of tacos
Now divide both sides by 3.25:
t > 64.62 (rounded)
Because a taco stand can't sell a fraction of a taco, we know that the taco stand has to sell more than 65 tacos for a profit.
