1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kozerog [31]
1 year ago
8

THIS IS ALGEBRA 2 CAN ANYONE SOLVE IT FOR ME?

Mathematics
1 answer:
Katen [24]1 year ago
7 0

Answer:

(a)  128 ft

(b)  4 s

(c)  Vertex:  (1, 144)

Step-by-step explanation:

Given information:

  • h(t) = height in feet
  • t = time in seconds after the launch

<h3><u>Part (a)</u></h3>

The height of the projectile at launch is the value of h(t) when t = 0 (the y-intercept).

Therefore, from inspection of the graph, the y-intercept is (0, 128).

So the <u>height of the projectile at launch is 128 ft</u>.

<h3><u>Part (b)</u></h3>

The length of time it took for the projectile to land is the time from the beginning (when t = 0) to when the height is 0 (the x-intercept).  

From inspection of the graph, the x-intercept is (4, 0)

So the <u>length of time it took for the projectile to land is 4 s</u>.

<h3><u>Part (c)</u></h3>

The vertex is the turning point (minimum/maximum point).

Therefore, from inspection of the graph, the <u>vertex is (1, 144)</u>.

The vertex represents the time and height at which the projectile was at its maximum.  So at the time of 1 second, the projectile was at its maximum height of 144 ft.

You might be interested in
A punch glass is in the shape of a hemisphere with a radius of 5 cm. If the punch is being poured into the glass so that the cha
Galina-37 [17]

Answer:

28.27 cm/s

Step-by-step explanation:

Though Process:

  • The punch glass (call it bowl to have a shape in mind) is in the shape of a hemisphere
  • the radius r=5cm
  • Punch is being poured into the bowl
  • The height at which the punch is increasing in the bowl is \frac{dh}{dt} = 1.5
  • the exposed area is a circle, (since the bowl is a hemisphere)
  • the radius of this circle can be written as 'a'
  • what is being asked is the rate of change of the exposed area when the height h = 2 cm
  • the rate of change of exposed area can be written as \frac{dA}{dt}.
  • since the exposed area is changing with respect to the height of punch. We can use the chain rule: \frac{dA}{dt} = \frac{dA}{dh} . \frac{dh}{dt}
  • and since A = \pi a^2 the chain rule above can simplified to \frac{da}{dt} = \frac{da}{dh} . \frac{dh}{dt} -- we can call this Eq(1)

Solution:

the area of the exposed circle is

A =\pi a^2

the rate of change of this area can be, (using chain rule)

\frac{dA}{dt} = 2 \pi a \frac{da}{dt} we can call this Eq(2)

what we are really concerned about is how a changes as the punch is being poured into the bowl i.e \frac{da}{dh}

So we need another formula: Using the property of hemispheres and pythagoras theorem, we can use:

r = \frac{a^2 + h^2}{2h}

and rearrage the formula so that a is the subject:

a^2 = 2rh - h^2

now we can derivate a with respect to h to get \frac{da}{dh}

2a \frac{da}{dh} = 2r - 2h

simplify

\frac{da}{dh} = \frac{r-h}{a}

we can put this in Eq(1) in place of \frac{da}{dh}

\frac{da}{dt} = \frac{r-h}{a} . \frac{dh}{dt}

and since we know \frac{dh}{dt} = 1.5

\frac{da}{dt} = \frac{(r-h)(1.5)}{a}

and now we use substitute this \frac{da}{dt}. in Eq(2)

\frac{dA}{dt} = 2 \pi a \frac{(r-h)(1.5)}{a}

simplify,

\frac{dA}{dt} = 3 \pi (r-h)

This is the rate of change of area, this is being asked in the quesiton!

Finally, we can put our known values:

r = 5cm

h = 2cm from the question

\frac{dA}{dt} = 3 \pi (5-2)

\frac{dA}{dt} = 9 \pi cm/s// or//\frac{dA}{dt} = 28.27 cm/s

5 0
2 years ago
Need help please don't know this no links
abruzzese [7]

Answer:

  $551

Step-by-step explanation:

The maximum profit is found where the derivative of the profit function is 0.

  y' = -2x +62 = 0

  x = 62/2 = 31

Then the maximum profit is ...

  y = (-x +62)x -410

  y = (-31 +62)(31) -410 = 961 -410 = 551

Assuming the profit is in dollars, the maximum profit the company can make is 551 dollars.

4 0
2 years ago
It rained 1/2 of an inch on Saturday and 8 1/0 inch on Sunday. How much more did it rain on Sunday than on Saturday?
Goryan [66]

Answer: 7/10

Step-by-step explanation:

Hope this helps! Have a good day and good luck.

7 0
3 years ago
Read 2 more answers
Cassie Boland earns $16.25 an hour. What gross wages did she
sergejj [24]

Answer:

$406.25

Step-by-step explanation:

Multiply 16.25 by 25:

16.25(25)

= 406.25

So, her gross wages were $406.25

6 0
3 years ago
Read 2 more answers
Find the slope help please
larisa86 [58]

Answer:

slope =2

Step-by-step explanation:

use math-way it helps

4 0
2 years ago
Read 2 more answers
Other questions:
  • Please please answer What is 4328 divided by 4
    5·2 answers
  • A new car worth $25,000 is depreciating (loses value) in value by $1,250 per year. Determine how many years will it take for the
    10·1 answer
  • What is the value of the expression 6.5 - (-7.25)?
    12·1 answer
  • Write 3.764x10^-5<br> in standard notation.
    8·1 answer
  • The sum of 3 consecutive number multiples of 6 is 162 find thesse numbers
    13·1 answer
  • Question 4 of 25
    12·1 answer
  • QUADRATIC FORMULA SIMPLIFIED PLZ HELP
    6·1 answer
  • Write the expression 53.7124 x 10^{3} as a single number
    11·2 answers
  • Question 11 of 11 The 6 students in Mrs. Baker's class were asked how many minutes it takes them to get to school in the morning
    7·1 answer
  • Melly was n years old last year. How old will she be in 4 years time?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!