A potato was launched in the air using a potato gun. the function for the situation was h(t) = -16t2 + 100t + 10, where t was the time in seconds and h(t) was the height in feet. (3 points each) a. what was the maximum height of the potato? b. what was the lowest height of the potato? c. what was the lowest time that applies to the actual situation? d. what is the greatest time that applied to the actual situation? e. using your answers to parts a through d, what are the domain and range of the function, as they apply to this situation? use set builder notation.

Answers

Answer 1

The answers to all the parts are given below.

To find the answers using a function:

The height equation is:

h(t) = - 16t^2 + 100t + 10

A) To find the maximum height, we must find the time where the velocity is 0, so we must derive it with respect to the time.

v(t) = - 2 * 16 * t + 100 = 0

t = 100/(2*16) = 3.125s

Now we put this time in our height equation:

h(3.125s) = -16*3.125^2 + 100*3.125 + 10 = 166.25 ft.

B) The lowest height of the potato will be h = 0ft when the potato hits the ground.

C) the lowest time that works for that function is t = 0s when the potato is fired by the gun.

D) the maximum time can be found when the potato hits the ground, after that point the equation does not work anymore, let's find it,

h(t) = 0 = -16t^2 +100t+10

we can solve it using Bhaskara's equation:

[tex]t=\frac{-100+-\sqrt{100^{2} +4*16*10} }{-2*16} =\frac{-100+-103.2}{-32}[/tex]

So the two solutions are:

t = 6.3s

t = -0.1s

We need to choose the positive time, as we already discussed that the minimum time that works for the equation is t = 0s.

so here the answer is t = 6.3s

E) the domain is  0s ≤ t ≤ 6.3s

The range is 0ft ≤ h ≤ 166.25 ft.

Therefore, the answers to all the parts are shown.

Know more about a function here:

https://brainly.com/question/78672

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Related Questions

3. Sadie and Josie are asked to wrie an expression equivalent to 3(2x+3y).
Sadie writes the expression 6x+9y.
Josie writes the expression 18xy.
Who is correct and why?
A. Sadie is correct because 3(2x)+3(3y)=6x+9y.
B. Sadie is correct because 3+2x+3+3y=6x+9y.
C. Josie is correct because 3 2x 3y=18xy.
I
D. Josie is correct because 3(6xy)=18xy.

Answers

The answer is A!
Sadie is correct because 3(2x+3y) equals 6x+9y

someone answer this please!! make sure to consider the function f(x)=3x-1

Answers

Answer:

The answers go

2

-1

-4

4

Determine whether these triangles are similar. If so, circle the appropriate reason below. Please show all work.

Answers

Answer:

Yes these triangles ate similar.

Step-by-step explanation:

The two triangles are similar if their third angle is equal. The sum of all angles of triangles must be equal to 180 degrees. The triangle 1 has sum of 180 degrees and triangle 2 has sum of 180 degrees. These triangles have third angle same which is 45 degrees.

Hey, guys I need help :D

Answers

Answer:

D

Step-by-step explanation:

Dilating BC to B'C' by a factor of 1/2 makes each side of the triangle halved. Originally BC is 16, so when it's halved, it becomes 8

We know when triangle are similar and are changed only by a scale factor, the angle will not change. Angle A' = 28 degrees

The equation y+6=3(x-9) is written in point-slope form. What is the equation written in slope-intercept form?
o y = 1/2x-3
Oy=}x+9
yafe- ར ་
y=3x+3

Answers

in slope intercept form, this is
y=3x-33

A right triangle has side lengths d, e, and f as shown below. Use these lengths to find sinx, tanx, and cosx.

Answers

Step-by-step explanation:

In the given triangle,

Perpendicular = d

Hypotenuse = e

Base = f

We need to find the values of sinx, tanx and cosx.

We know that,

[tex]\sin \theta=\dfrac{P}{H}\\\\\tan\theta=\dfrac{P}{B}\\\\\cos\theta=\dfrac{B}{H}[/tex],

We have, P = d, H = e and base = f

So,

[tex]\sin \theta=\dfrac{d}{e}\\\\\tan\theta=\dfrac{d}{f}\\\\\cos\theta=\dfrac{f}{e}[/tex]

Hence, this is the required solution.

Using the lengths given, the Trigonometry ratios of the right triangle are:

sin x = d/e cos x = f/etan x = d/f

Recall:

In a right triangle where we are given a reference angle, ∅, with three sides, we can solve the triangle using the Trigonometry ratios given as: SOH CAH TOA.

Given the following:

∅ = xOpposite = dHypotenuse = eAdjacent = f

Thus:

sin x = Opp/Hyp = d/e (SOH)

cos x = adj/Hypo = f/e (CAH)

tan x = Opp/Adj = d/f (TOA)

Therefore, using the lengths given, the Trigonometry ratios of the right triangle are:

sin x = d/e cos x = f/etan x = d/f

Learn more about Trigonometry ratios on:

https://brainly.com/question/4326804

Think of a favorite dance move, such as the Running Man. Determine whether there is periodicity associated with this dance move.

Answers

Answer:

I don't remember if Alan Walker can dance :/

Step-by-step explanation:

Dream did it better than me, you should see his answer.

Answer:

I don't know

Step-by-step explanation:

SPIRAL REVIEW - Find the value of the expression below.

96 ÷ 4² + (25×2) - 15 - 3

Answers

Answer:

38

Step-by-step explanation:

96/16  

+(25)(2)−15−3

=6+(25)(2)−15−3

=6+50−15−3

=56−15−3

=41−3

=38

CAN SOMEONE HELP ME PLEASE

Answers

Answer:

[tex]\frac{\sqrt{189x^3y^6} }{\sqrt{3x} } \\= \frac{\sqrt{3^2(7)(3)(x^2)(x)(y^3)^2} }{\sqrt{3x} } \\=\sqrt{\frac{(3xy^3)^2(7)(3x)}{3x} }\\=3xy^3\sqrt{7}[/tex]

You have $10 saved. Each week you receive $5 more. Fill in the table to show how much you will have each week. You keep filling out the table to see how much you will have at the end of 6 weeks.

Answers

Answer:

90

Step-by-step explanation:

You have 10 dollars saved and each week you recieve 5,multiply 10 x 5 and then multiple 15x6 and there you go


Evaluate -4 x (2 + -3).

Answers

Answer:

positive 4

Step-by-step explanation:

you first add the numbers in the numbers in the brackets

2+-3=-1

-4×-1=+4

Step-by-step explanation:

-4×(2+(-3) )

= -4×(2-3)

=-4×-1

= 4

can anyone answe this?

Answers

Answer:

Corresponding

Step-by-step explanation:

''This graph shows parabola y=ax^2+bx+c. What is the possible value of a?''

Answers

I’m not 100% sure so sorry if it’s wrong but I think it’s 3/2

Please find X ASAP. You’ll find it on the picture

Answers

Answer:

51°

Step-by-step explanation:

so lets all know that the sum of a trapezoid is 360°

so lets find x

360-83-115-111=51

so your answer is 51°

Hope this helped :)

Please help me giving brainliest

Answers

Answer:

90 degrees

Step-by-step explanation:

classmate is muy stupio

the non 90 degree angles are all congruent

which means each of them are 45 degrees

cuz triangle degree add up to 180

then

u use subtraction

cuz a line is 180 degrees

Convert to 0,125km
to centimetres..........

Answers

Answer:

12500 cm

Step-by-step explanation:

0,125 km = 125 m (times 1000 because 1 km = 1000 m)

125 m = 12500 cm (times 100 because 1 m = 100 cm)

can someone explain how to do this

Answers

Answer:

مرحبًا ، سأكون سعيدًا لمساعدتك في حبك في العمل ، وأريد المزيد من التفاصيل ، وسأبذل قصارى جهدي لإرضائك

Step-by-step explanation:

Answer:

I recommend using GeoGebra to graph the coordinates

Step-by-step explanation:

I use that whenever someone asks if certain coordinates make a shape

Here's the link:

http://contentstore.ple.platoweb.com/content/GeoGebra.v5.0/GeoGebra_Activity.html

Answer for brainliest

Answers

Step-by-step explanation:

The diameter is 6, so the square is also 6 feet by 6 feet. This means the square has an area of 36 feet.

Find the area of the circle:

3.14 * 3^2

3 ^ 2 = 9

3.14 * 9 = 28.26

Now find the area of the edges of the square.

36 - 28.26 = ~7.74 ft

A rectangle with length 3 1/2 ft and width 2 1/4 ft what is the area

Answers

Answer:

Step-by-step explanation:

Hope this helps

click link

Answer: 5 2/6

Step-by-step explanation:

PLEASE HELP ME ON THIS ITS THE LAST ONE FOR THE DAY

Answers

Answer:

z=95

Step-by-step explanation:

z-28=67

 +28  +28

x=95

all you have to do is make both side of the eqaution balanced

if you add 28 to one side you do it to the other side as well

Z-28=67 add 28 twice the u get z=95

I will mark brain list to the person who got it correct

Answers

Answer:

-6

djdhhdhdxbxvsbsbvsshhsdh

-6 hehdbnfjenend

Step-by-step explanation:

hfea ehsusbshidbd

Plz plz, help I don't understand 24 points !!! Will mark brainiest for correct answers only quick!!!

Answers

the triangle is kinda square so multiply and you should get 24

PLS HELPP I WILL GIVE BRAINLIEST

Answers

the answer should be b.

Kate got 2 out of the 3 questions correct on her pop quiz what is her grade

Answers

Answer:

0.6666666666etc but you have to round it to 67 because it is closer to 67

Step-by-step explanation:

Write an equivalent expression by factoring for 6a + 15

Answers

Answer: Factor 6a + 15
= 3 (2a + 5)

For the diagram shown, find the measures of angles 4,
5, and 6.
m_4 =
degrees
m25 =
degrees
m26 =
degrees

Answers

Answer:

m∠4 = 57 degrees

m∠5 = 123 degrees

m∠6 = 35 degrees

Step-by-step explanation:

Ginger the cat weighed 25lbs! The vet put Ginger on a diet and by the end of the month, Ginger weighed 20lbs. What percentage of her weight did Ginger loose? She lost of her weight.​

Answers

Answer:

20%

Step-by-step explanation:

25 divided by 5 is 5 and in fractions 1/5 is 20 therefore 20% for every 5 pounds so if you lose 5 pounds you lost 20% of her weight.

Answer:

ana totta

Step-by-step explanation:

Given a line segment that contains the points A,B, & C in order, if AB = x + 12, and BC = 2x - 4, and AC = 26, find x.

Answers

Answer:

x = 6

Step-by-step explanation:

If A, B and C lies on a straight line in order, then;

AB+BC = AC

x+12+2x-4 = 26

x+2x+12-4 =26

3x+8 = 26

3x = 26-8

3x = 18

x = 18/3

x = 6

Hence the value of x is 6

Help please will give the brainliest

Answers

Answer:

Every angle of Square = 90°

diagonal bisects the angle in half.

=> angle FGI = 45°

=> 7x+3=45

=>7x=42

therefore, x=42/7=6

Hope this helps!!! Feel free to clarify

HCF of 10,100,1000. ​

Answers

Answer:

So the greatest common factor 10 and 1000 is 10.

plz mark me as brainliest

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