Abaseball is thrown upwards from a height of 5 feet with an initial speed of 64 feet per second, and its height h (in feet) from the ground is given by h(t) = 5 + 64t – 16t2 where t is time in seconds. using a graphing calculator, determine at what time the ball reaches its maximum height

It will take 2 seconds to reach its maximum height.          

Step-by-step explanation:

We have given, A baseball is thrown upwards from a height of 5 feet with an initial speed of 64 feet per second, and its height h (in feet) from the ground is given by where t is time in seconds.

We have to find, Using a graphing calculator, determine at what time the ball reaches its maximum height.

Solution:

The equation represented as

Where, t is time in seconds and h is the height.

Now, We plot the graph of the given equation.

Refer the attached graph below.

The given equation is a downward parabola with y coordinate of vertex of the parabola will give its maximum height and x coordinate will given the time at which the ball is at maximum height

The vertex of the equation is given by V=(2,69)

Maximum height = 69 feet

Time to reach maximum height = 2 seconds

Therefore, It will take 2 seconds to reach its maximum height.

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.