please help me and explain to me how you got the answer, pls don’t just say the answer explain how. will mark brainliest if you get it right!

Please Help Me And Explain To Me How You Got The Answer, Pls Dont Just Say The Answer Explain How. Will

Answers

Answer 1

Given:

The height of the swipe card in feet after t seconds is

[tex]h(t)=-3t^2+15t+18[/tex]

To find:

The maximum height of the swipe card and the time at which it reaches this height.

Solution:

We have,

[tex]h(t)=-3t^2+15t+18[/tex]

Here, leading coefficient is -3, which is negative. It means it is a downward parabola and the vertex of the downward parabola is the point of maximum.

If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then the vertex is

[tex]Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)[/tex]

In the given function, we get

[tex]a=-3,b=15,c=18[/tex]

Now,

[tex]-\dfrac{b}{2a}=-\dfrac{15}{2(-3)}[/tex]

[tex]-\dfrac{b}{2a}=2.5[/tex]

Putting t=2.5 in the given function, we get

[tex]h(2.5)=-3(2.5)^2+15(2.5)+18[/tex]

[tex]h(2.5)=36.75[/tex]

So, the vertex of the given parabola is at (2.5,36.75).

Therefore, the maximum height of the swipe card is 36.75 feet and it reaches this height after 2.5 seconds.


Related Questions

Help

I costs $50 to make 10 calculators

Answers

Answer: so but 10 calculators

Step-by-step explanation:

A manufacturer of flea collars for animals injects the collars with 15 milligrams of a medicine that only acts on fleas. The manufacturer will only sell collars with 14 milligrams and no more than 16 milligrams of medicine. The following list shows the result of sampling 36 collars from an actual production run of 720 collars. A) Based on this sample, what percent of the collars would be acceptable? Explain how you got your answer. B) Based on this sample, how many collars would you expect the manufacturer to reject?

Answers

Answer:

you add50 then subtracts 50 and yea thats the answer

Step-by-step explanation:

Please help me with this question 14 + what = 6

Answers

Answer:

-8

Step-by-step explanation:

14 + x = 6

6 - 14 = -8

brainliest plz

PLS HELP ME I WILL GIVE YOU BRAINLIEST!

Answers

i think its 180 i think

The movie you chose is 2 hours long. After only 1 /2 of an hour, you look and "Oh no!" you have already eaten a third of your popcorn! If you continue eating popcorn at this speed, do you think you will have enough for the rest of the movie? Include a mathematical explanation to support your thinking.

Answers

Answer:

no

at every 30 minutes, a third of the popcorn is consumed.

After an hour, 1/3 + 1/3 = 2/3 of popcorn would be consumed.

At one hour 30 minutes, 2/3 + 1/3 = 3/3 or 1 or all of the popcorn would have been consumed

Step-by-step explanation:

The rate at which popcorn is consumed is 1/3 in 30 minutes

so, in 1 and a half hours, all the popcorn would be finished

1/3 + 1/3 + 1/3 = 1

Help me out please an thank you

Answers

Given:

The graph of a parabola.

To find:

The equation of the parabola.

Solution:

From the given graph, it is clear that the vertex of the parabola is at point (0,0) and it is a horizontal parabola.

The general equation of a horizontal parabola is:

[tex]x=ay^2[/tex]

Where, a is a constant.

If a<0, then the parabola opens left and if a>0, then the parabola opens right.

Equations in options B and D are of the form [tex]x=ay^2[/tex] but a<0 in option B and a>0 in option D.

In the given graph the parabola opens right, so the value of a mus be a positive number. So, the required equation is:

[tex]x=\dfrac{1}{6}y^2[/tex]

Therefore, the correct option is D.

If the initial velocity stays the same, but the height the projectile is launched from changes , how would the amount of time change that it takes for the projectile to reach its maximum height? How would its maximum height change?

Answers

Answer:

Part A

The height to which the projectile reaches is given by the following formula;

[tex]\Delta y = y-y_0 = v_{0y} \times t-\dfrac{1}{2} \times g \times t^2[/tex]

Where;

[tex]v_{0y}[/tex] = The initial velocity of the projectile = Stays the same

y = The height the projectile reaches

y₀ = The height from which the projectile is launched

g = The acceleration due to gravity

t = The time taken

Given that the projectile has the same initial velocity, the variation of Δy with time, 't', will be the same when the project is launched from a different height, and the time change that it takes for the projectile to reach the maximum height will be the same for the previous launch height

Part B

From the change in eight of the projectile, Δy = y - y₀, the maximum height reached, 'y', is therefore given as follows;

y = Δy + y₀

The maximum height will increase by 'y₀', where 'y₀' is the difference between new height and the previous height, [tex]y_i[/tex]

That is, if y₀ > [tex]y_i[/tex], the maximum height reached increases and if y₀ < [tex]y_i[/tex], y₀ will be added as y = Δy - y₀ and the maximum height reached decreases

Step-by-step explanation:

Find the difference.
- 4 1/9 - 7 2/3
**Answer should be a fraction**

Answers

Answer:

your answer is

[tex] - 11 \frac{7}{9} [/tex]

A new road was added near Riana's neighborhood. The road is 5 miles long, and the city plans 1/10 to place a streetlight every mile. There already is a streetlight at the beginning of the new road. How many streetlights will be placed on the new road? ​

Answers

Answer:

= 49  

Answer.

Step-by-step explanation:

Solution:-

Length of the road = 5 miles

Distance between every two streetlights = 1/10 miles

Total number of streetlights placed on the new road = 5 ÷ 1/10

= 5*10

= 50 streetlights

As there is already a streetlight at the beginning of the new road, so the number streetlights will be = 50 - 1

Answer:

49 is correct answer

Step-by-step explanation:

please mark me as brainliest

(p -√ 5 ) (p + √ 5 )​

Answers

Answer:

p² -5

Step-by-step explanation:

pxp      + p√ 5    -p√ 5        -√ 5√ 5

     

   pxp  -√ 5√ 5

pxp  -√ 5√ 5

         p² -5

The cylindrical canister of a fire extinguisher
has a diameter of 4 inches and is 12 inches
high. About how many square inches of
metal (total surface area) would be needed
to manufacture one fire extinguisher?

Answers

Step-by-step explanation:

2*22/7*48=301.714 .This the answer

Answer:

Yeah, what they said above.

Step-by-step explanation:

What are the rules of exponents?

Answers

The rules of exponents allow you to simplify expressions involving exponents. When multiplying two quantities with the same base, add exponents: xm⋅xn=xm+n x m ⋅ x n = x m + n . When dividing two quantities with the same base, subtract exponents: xmxn=xm−n x m x n = x m − n .

b) After allowing 16 % discount on the marked price of an article and levying 13 % value
added tax, the price of the article becoipes Rs 9,492. Find the value added tax.​

Answers

Answer:

135.15

Step-by-step explanation:

let SP be x

sp with vat=sp + vat % of sp

9492=x+13/100*x

x=1039.6

vat=vat% of sp

=13/100*1039.6

=135.15

help me asap please :)
Find the measure of segment `DE.`

Answers

Answer:

DE=24

Step-by-step explanation:

We can see clearly that the two angles, angle A and angle F are congruent with one another, and since they are, we know the two triangles are shifted in a growth, not in an adjustment of angles. the hypotenuse doesnt matter, what does matter is the 5 and the 10, clearing showly the transition of Triangle ABC to Triangle DEF is times 2. Therefore, 12 times 2 is 24.

Answer:

Step-by-step explanation:

segment DE is what we want to find

notice that the two triangles are similar, similar here just means one is an exact copy of the other, except for scale.  One is an exact scale copy of the other.  sooooo  we can make some scaling of one side of one.. to the same side of the other.    here we want DE so .. see that BC is the same side on the other , smaller triangle?

now notice AB on the small triangle and FE on the bigger one... sooo just by observation we can see, that the bigger triangle is 2X bigger than the small one  ,  b/c  5 * 2 = 10  .  5 is the AB side of the smaller triangel and 10 is the same side but on the bigger triangle and 2 is our scaling factor.. got it?

So do the same on BC to find DE

12 * 2 = DE

24 = DE

see?  :)

I need help please ):

Answers

Answer:

yes, 3:4

Step-by-step explanation:

The ratio of the side lengths is 6:8 and 18:24 both of which simplify to 3:4


Need help :::::::::::::::::

Answers

Answer:

2/3

Step-by-step explanation:

First, we read the two points with circles off the graph.

They are (-4, -5) and (5, 1).

slope = (y2 - y1)/(x2 - x1) = (-5 - 1)/(-4 - 5) = -6/(-9) = 2/3

Answer: 2/3

Leticia is a physical therapist. She charges $220 home-visit fee and $60 per hour, with the first hour free. Which equation could you use to calculate the cost, c, to have Leticia give you physical therapy at your home for h hours?

Answers

Answer

c=$220+($60h-$60)

Answer:c = 220 + 60(h-1)

Step-by-step explanation:

which of the following trigonometric expressions are equal? a. sin(theta) b. cos(theta)tan(theta) c. 1/sec(theta) d. csc(theta) (1-cos^2(theta))​

Answers

Answer:

A & B

Step-by-step explanation:

cos(theta)tan(theta) can be expressed as;

cos(theta)tan(theta) = cos(theta) × (sin(theta))/cos(theta).

cos(theta) cancels out to give; sin(theta)

Thus is equivalent to option A

What is the standard form equivalent of (x + 5)(2x +4)?

Answers

Answer:

2x²+14x+20

Step-by-step explanation:

Can someone help me with this ( pls don't use links) the first one who answers this gets 5 stars ​

Answers

Answer: 4 = 90

Step-by-step explanation:

90

Answer:

1. 135° = obtuse angle

2. 245° = Reflex angle

3. 62° = acute angle

4. 110° = obtuse reflex angle

I need help asap thank you

Answers

positive+positive= positive
negative+negative=positive
-7+10= negative
4/6 + 2/6= positive
-9.5+4= negative

Answer:

Thisis your answer ☺️☺️☺️

What is the multiplicative identity of the complex number 4 + 8i

Answers

Answer:

1

Step-by-step explanation:

when you multiply an complex number by its multiplicatuive identity, in case 4+8i, you would multiply both the top and the bottom by 4-8i which is actually the value one since we cannot actually change the whole value of the number. By multiplying it by 1 and we get the same value without the imaginary number

(sorry if this doesn't make sense but I hope it helps)

about that did you forget to put -4 + 8i just to make sure about it because I am not sure if you forget it or not just making sure

Answer:

1

Step-by-step explanation:

what is the average monthly ranfall?

Answers

Where? In what place are you talking about?

ill mark brainlist plss help

Answers

to answer your question, the answer would be 8

help anyone? please?

Answers

Answer:

x=11.2

Step-by-step explanation:

Set up a proportion:

x+11/36 = 37/60

Cross multiply:

1332=60(x+11)

Distribute:

1332=60x+660

Subtract 660 from 1332

672=60x

Divide:

x=11.2

I'm not sure if this is the correct answer but I hope this helps! :)

Correct me if I'm wrong!

A sum of was to be shared among three sidlings rambo nikita and kimroy in the ratio 3:7:9 if nikita and kimroy $2500 more than rambo evaluate the sum of money kimroys share

Answers

Answer:

Step-by-step explanation:

A sum of was to be shared among three sidlings rambo nikita and kimroy in the ratio 3:7:9 if nikita and kimroy $2500 more than rambo evaluate the sum of money kimroys share

This question is incomplete. It lacks the amount of money that the 3 siblings share

A kid at the bus stop is tossing a coin. He tosses the coin 19 times and it lands on heads eight times. If the kid tosses the coin an 20th time, what is the probability that it will land on heads?

Answers

Answer:

I honestly dont know

Step-by-step explanation:

Jiro borrows $48000 from a bank that charges simple interest at a rate of 6% per year. Find the total amount of money he has to pay the bank at the end of 2 years.

Answers

Answer:

$53760

Step-by-step explanation:

Rui Feng borrows $48 000 from a bank that  charges simple interest at a rate of 6% per annum.

Now, we have to calculate the total amount he has to pay the bank at the end of 2 years.

Now, using the formula of simple interest the total amount after 2 years will be

dollars. (Answer)

Noah says that 9x−2x+4xis equivalent to 3x, because the subtraction sign tells us to subtract everything that comes after 9x.

Elena says that 9x−2x+4xis equivalent to 11x, because the subtraction only applies to 2x.



Who is correct? And why are they correct?

Group of answer choices

Elena

Noah

Answers

11x - Elena is correct, addition and subtraction are applied in the order that they appear.
11x and Elena is correct. Correct me if i’m wrong.

What are the coordinates of the point?

(−4, −2)
(−2, 4)
(2, 4)
(4, −2)

Answers

Answer:

-2,4 is the answer x,y is the formula

Answer:

hey if I can get some of your social network to send you homework, they won't here?

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