A thermometer falls from a weather balloon at a height of 7,744 ft. If the
equation for height as a function of time
is h(t) = -16t2 + initial height wheret is
time in seconds and h(t) is height in feet,
how many seconds will it take for the
thermometer to hit the ground?
[?] seconds

It will take 22 seconds for the thermometer to hit the ground.

Step-by-step explanation:

A thermometer falls from a weather balloon at a height of 7,744 ft.

This means that the initial height is of 7744ft.

h(t) = -16t2 + initial height

So

How many seconds will it take for the thermometer to hit the ground?

This is t for which . So

It will take 22 seconds for the thermometer to hit the ground.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

answer: 1 + 1 = 11

step-by-step explanation: