15 POINTS! PLEASE HELP

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

3 years ago

What is the relationship between CE and AD?<br> I’ll give brainly

Step2247 [10]

It’s the second one because it can’t be half but it can be 1/4 and if you do the measurements you can tell it is the second one

4 0

3 years ago

What is the image point of (1, 4) after a translation left 5 units and down 3 units?

beks73 [17]

Answer:

(-4,1)

Step-by-step explanation:

for x you do:

1 - 5 = -4

for y you do:

4 - 3 = 1

so it is (-4,1)

8 0

3 years ago

100 POINTS FOR WHOEVER ANSWER THIS QUESTION FULLY!!!

natulia [17]

Answer:

Yes, diagonals bisect each other

Step-by-step explanation:

<em>See attached</em>

Plot the points on the coordinate plane

Visually, it is seen that the diagonals bisect each other.

We can prove this by calculating midpoints of AC and BD

<u>Midpoint of AC has coordinates of:</u>

x = (1 - 1)/2 = 0
y = (4 - 4)/2 = 0

<u>Midpoint of BD has coordinates of:</u>

x = (4 - 4)/2 = 0
y = (-1 + 1)/2 = 0

As per calculations the origin is the bisector of the diagonals.

7 0

3 years ago

Match each question to the correct problem.

Maslowich

<h2>Answer:</h2>

<em>(Check attached images).</em>

<h2>Step-by-step explanation:</h2>

<h3>Exercise 1.</h3>

a. Convert to decimals.

To order the numbers from least to greaters, convert them to decimals and compare.

$5.2(percent)=0.052\\ \\\frac{1}{7} =0.1429\\\\ -0.8=-0.8000\\ \\\frac{-11}{5} =-2.2$

b. Select the second least number.

-0.8.

<h3>Exercise 2.</h3>

a. Convert to decimals.

$-3.4(percent)=-0.034\\ \\-0.031\\\\ -0.2\\ \\-\sqrt{0.8}= -0.8944$

b. Select the correct number.

$-\frac{1}{5}$ .

<h3>Exercise 3.</h3>

a. Convert to decimals.

<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the positive numbers.</em>

<em />

b. Select the correct number.

3/5.

<h3>Exercise 4.</h3>

a. Convert to decimals.

-0.35

-3.5%= -0.035

b. Conclude.

Seeing that -3.5% is less than -0.35, the symbol that makes the statement true is ">".

<h3>Exercise 5.</h3>

a. Try to visually estimate b.

B appears to have a value of -0.9.

b. Convert the numbers to decimals.

-3.4%= -0.034

-0.031

-1/5= -0.2

$-\sqrt{0.8}= -0.8944$

c. Select the correct answer.

<em>Since we estimated the value of b as -0.9, the number that best adequates to its value is </em> $-\sqrt{0.8}$ .

<h3>Exercise 6.</h3>

a. Convert to decimals.

<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the positive numbers.</em>

5.2%= 0.052

1/7= 0.1429

b. Select the correct number.

5.2% is the second largest.

<h3>Exercise 7.</h3>

a. Convert to decimals.

6/7= 0.857143

0.857

b. Select the correct answer.

Seeing that 0.857 is marked as an approximate by the

ellipsis, and considering that 6/7 is an irrational numbers, we can conclude that the number that better fits the situation and makes the statement true is "=".

<h3>Exercise 8.</h3>

a. Convert to decimals.

<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the negative numbers.</em>

<em /> $-\sqrt{21} =-4.5826$

b. Select the correct answer.

The smallest number is -4.6.

7 0

1 year ago