Please answer correctly not for points because i will be deleting wrong answers

A rocket was launched into the air from a podium 6 feet off the ground. The rocket path is represented by the equation h(t)=-16t

Arte-miy333 [17]

Answer:

60

Step-by-step explanation:

The given function is:

$h(t)=-16t^2+120t+6$

The average rate of change of h(t) from t=a to t=b is given by:

$\frac{h(b)-h(a)}{b-a}$

We can rewrite this function as: $h(t)=-16(t-3.75)^2+231$

The maximum height of the rocket is 231 and it occurs at t=3.75

$\implies h(3.75)=231$

The initial launch occurs at: t=0

and $h(0)=-16(0)^2+120(0)+6=6$

The average rate of change from the initial launch to the maximum height is

$\frac{h(3.75)-h(0)}{3.75-0}=\frac{231-6}{3.75-0} =60$

6 0

2 years ago

In your own words, describe the process of multiplying binomials using the FOIL method. You can either write a paragraph describ

neonofarm [45]

Answer:

We can describe FOIL using the distributive property of multiplication. For real numbers x, y, and z the distributive property of multiplication states that

$(x + y)z = xz + yz$

Now let $z = v + w$ , where v and w are real numbers.

Then $(x + y)(v + w) = x(v + w) + y(v + w)$

Here, we can again use the distributive property of multiplication to get

$x(v + w) + y(v + w) = xv + xw + yv + yw$

Hence, it follows that

$(x + y)(v + w) = xv + xw + yv + yw$

This is the method of FOIL (first: xv, outside: xw, inside: yv, last: yw)

For example, $(1 + 2)(3 + 4) = 21 \\\text{and} \\1(3) + 1(4) + 2(3) + 2(4) = 3 + 4 + 6 + 8 = 21$

5 0

2 years ago

Gina works at a diner.She earns 6$ each hour plus tips.In one week,She worksed 37 hours a week and earned 434$ in tips.How much

finlep [7]

False.

6(x)+434=?
x= number of hours so problem can be rewritten as
6(37)+434
———
222+434=
656

3 0

2 years ago

When two 6-sided dice are rolled, there are 36 possible outcomes. Find the probability that the sum is 8

katrin2010 [14]

Answer:

5/36

Step-by-step explanation:

Probability is the outcome that a event will occur

Probability = Expected outcome/Total outcome

Since two sided dice are rolled, the total outcome will be expressed as;

Total outcome = 36

Since we are to find the probability that the sum is 8, the values that gives a sum of 8a re;

(2,6)(6,2), (5, 3), (3,5), (4, 4)

The expected outcome = 5

Probability = 5/36

Hence the probability that the sum is 8 is 5/36

4 0

2 years ago

The parametric equations x = x1 + (x2 − x1)t, y = y1 + (y2 − y1)t where 0 ≤ t ≤ 1 describe the line segment that joins the point

Ulleksa [173]

It is a bit tedious to write 6 equations, but it is a straightforward process to substitute the given point values into the form provided.

For segment ab. (x1, y1) = (1, 1); (x2, y2) = (3, 4).

... x = 1 + t(3-1)

... y = 1 + t(4-1)

ab = {x=1+2t, y=1+3t}

For segment bc. (x1, y1) = (3, 4); (x2, y2) = (1, 7).

... x = 3 + t(1-3)

... y = 4 + t(7-4)

bc = {x=3-2t, y=4+3t}

For segment ca. (x1, y1) = (1, 7); (x2, y2) = (1, 1).

... x = 1 + t(1-1)

... y = 7 + t(1-7)

ca = {x=1, y=7-6t}

4 0

2 years ago