A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x2 + 200x + 82

Answers

Answer 1

Answer:

Step-by-step explanation:

dy/dx = -32x + 200

maximum height when dy/dx = 0

-32x + 200 = 0

x = 6.25 seconds

y = -16·6.25² + 200·6.25 + 82 = 707 feet


Related Questions

find the radius of the circle. please.

Answers

Answer:

12in

Step-by-step explanation:

2r = 24

r = 12

Answer:

12 in.

Step-by-step explanation:

The radius is half of the diameter.

r = d/2

r = 24/2

r = 12

Express as a trinomial. (2x+5)(3x-4)

Answers

Answer:

[tex]6x^{2} + 7x - 20[/tex]

Step-by-step explanation:

Find the value of x.

Answers

can’t see the question

p(x)=x^4 -2x^3 -11x +12x+36
The process of solving for all zeros (by hand) of the polynomial (work page)
The list of all solutions
The domain and range of the function
The end behavior of the function
The intervals for which the function is increasing and decreasing
Local Maximum(s)
Local Minimum(s)

Answers

x=−2x=-2 (Multiplicity of 22)

x=4x=4 (Multiplicity of 11)

Find the equivalent ratio. Fill in the missing numbers

Answers

Answer:

a=4

b=20

c=16

d=145

e=40

Step-by-step explanation:

someone help I don't know this trig question ​

Answers

Answer:

Bill is 9.80 km apart from Concert

Step-by-step explanation:

It's given in the question,

m∠B = 75°

m∠C = 45°

By triangle sum theorem,

m∠A + m∠B + m∠C = 180°

m∠A + 75° + 45° = 180°

m∠A = 180° - 120°

m∠A = 60°

By sine rule,

[tex]\frac{\text{sin}(\angle A)}{BC}=\frac{\text{sin}(\angle C)}{AB}[/tex]

[tex]\frac{\text{sin}(60)}{BC}=\frac{\text{sin}(45)}{8}[/tex]

BC = [tex]\frac{8\text{sin}(60)}{\text{sin}(45)}[/tex]

     = 9.80 km

Therefore, Bill is 9.80 km apart from Concert.

helppppp pleaseeeee im giving 15 for this ;^;

im in dire need for multiple questions. this is 4/5​​

Answers

Answer:

This should be -5

Step-by-step explanation:

The function is f of x

Substitute 0 for x

the equations hould now be

f(0) = (0 + 5)(0 - 1)

Combine like terms: f(0) = (5)(-1)

Multiply 5 and -1 to get -5

Answer: 0-

Step-by-step explanation:

keep going down. maybe

What is the solution

-3x + y = 2

y = x + 4

Answers

Answer:

to find the solution, we substitute y = x + 4 into the other equation.

-3x + (x + 4) = 2

-3x + x + 4 = 2

-2x = 2 - 4

-2x = -2

x = 1

to find y, we substitute x to the x variable in the y equation.

y = 1 + 4

y = 5

therefore, when combined, it is (1,5).

best anwser gets brain select all that apply​

Answers

7,4 ×10^ -5

.....................

The second option, fourth, and the last are all scientific notation.

5x + 3y = 6
-3x - 3y = 6

Answers

Answer:

(x,y)=(6,-8)

x=6, y=-8

Step-by-step explanation:

There are many was to answer this question, some are substitution and elimination. I am going to use the substitution method.  

Your system of equation is 5x+3y=6 and -3x-3y=6

5x+3y=6

-5x  -5x

3y=6-5x

Now you substittion the first equation to the sencond one. It will look like:

-3x-(6-5x)=6

-3x-6+5x=6

2x-6=6

+6    +6

2x=12

Divide both sides by 2 and you get

x=6

Now lets substiton x inot the orgianl equation.

-3(6)-3y=6

-18-3y=6

+18    +18

-3y=24

Divide both sides by -3

y=-8

So, the answer is x=6, y=-8

What is the product of 3/8 and 4/9
A. 1/6
B. 1/12
C. 7/17
D. 12/17​

Answers

Answer:

A.) 1/6

Step-by-step explanation:

3/8 x 4/9 = 12/72 ---> 1/6

If f(x) = 11 - 6(x - 8), what is f(-3)?

Answers

Answer:

We conclude that:

[tex]f\left(-3\right)=77[/tex]

Step-by-step explanation:

Given the function

[tex]f(x) = 11 - 6(x - 8)[/tex]

Important Tip:

In order to determine f(-3), all we need is to substitute x = -3 in the function equation

substitute x = -3 in the equation

[tex]f(x) = 11 - 6(x - 8)[/tex]

[tex]f(-3) = 11 - 6(-3 - 8)[/tex]

[tex]f\left(-3\right)\:=\:11-\left(-66\right)[/tex]

[tex]f\left(-3\right)\:=\:11+66[/tex]               ∵ Apply rule  -(-a) = a

[tex]f\left(-3\right)=77[/tex]

Therefore, we conclude that:

[tex]f\left(-3\right)=77[/tex]

if p ≥ q, then -p ≤ -q

Answers

Answer:

Yes, that's correct.

Step-by-step explanation:

find a number whose 6 1/4% is 12​

Answers

Answer: The number is 192

Step-by-step explanation:

Marcus, Alaina, and Tory recorded the number of text messages
they sent on a certain day. Marcus sent 24 text messages, Alaina
sent 8 fewer messages than Marcus, and Tory sent twice as many
messages as Alaina. What is the ratio of the number of texts that Tory
sent to the total number of texts sent by all three friends?

Answers

Answer:

Step-by-step explanation:

8?

Help me please I am
so confused

Answers

Answer:

Step-by-step explanation:

The midpoint between two points is the average of the coordinates.

mp=((x2+x1)/2, (y2+y1)/2)

In this case we are given one end point and the midpoint.

Just look at the x coordinate first.

If the mid x is 8 and the x from j is 10 we have

(10+x)/2=8

10+x=16

x=6, now for the y for j when y=6 and mid y of 5

(6+y)/2=5

6+y=10

y=4

So the coordinates of K are (6,4)

How many square inches are in 60 square feet?

5 square inches
72 square inches
720 square inches
8,640 square inches

Answers

Answer:

8,640

Step-by-step explanation:

One foot is 12 inches, so a square foot would be 144 inches (12×12 -> l×w) So, you would multiply 60 by 144, and you would get 8,640 square inches.

8,640. Dupdohfhpfohfhh

value of π =3.14. Find the area and perimeter of a circle of diameter 4cm​

Answers

Step-by-step explanation:

If diameter=4cm,then radius=4÷2=2cm

Area of a circle=πr²

=3.14×2²

=3.14×4

=12.56cm²

Per


8. Find the number from the following expanded form: 9 x 10% + 2 x 102 + 3 x 10
(a) 900203
(b) 912351
(C) 905302
(d) 900230

Answers

Answer:

324

Step-by-step explanation:

Step 1: Multiply: 9 * 10 =90

Step 2: Multiply: 2 *102 =204

Step 3: Multiply: 3 * 10

Step 4: Add: 90 + 204 + 30 = 324

Hope this helps.

PLZ PLZ PLZ ANSWER THIS QUESTION!!!!!!!

Answers

Answer:

d

Step-by-step explanation:

Find x+y, if: 2x+3y=8 and 3x+5y=13

Answers

Answer is x = 1 & y = 2
the answer can be found using math-way

What is XY? .........................

Answers

Answer: B i guess

Step-by-step explanation:

The hypotenuse side XY of given right angle at Z is [tex]5\sqrt{2}[/tex].

Given that in triangle XYZ :

∠X=45°

∠Y=45°

XY=5

And right angled at Z, that is, ∠Z=90°.

Since, ∠X=∠Y=45°

Therefore, XZ=YZ=5

Now,

[tex]\sin \theta = \dfrac{hypotenuse}{opposite}[/tex].

Here, θ=45°.

Therefore,

[tex]\sin \theta=\dfrac{5}{XY}\\\\\sin 45\°^=\dfrac{5}{XY}\\\dfrac{1}{\sqrt{2} } =\dfrac{5}{XY}\\\\XY=5\sqrt{2}[/tex]

Thus, the side XY=[tex]5\sqrt{2}[/tex].

Learn  more about Right triangle here:

https://brainly.com/question/33222274

#SPJ2

I don’t know if it’s true or false I need help

Answers

Answer:

True

Step-by-step explanation:

x+y=14
2x+3y=30
How do I determine which method is used for this and what is it? (Thorough explanation please)

Answers

Answer:

x = -18

y = 4

Step-by-step explanation:

x + y = 4

2x + 3y = 30

You can do any math operation to each side of the equal sign as long as you do the same operation to both sides.

change x + y = 4       to        x = 4 - y  

Now substitute (4 - y) into the second equation, in place of x.

2(4-y) + 3y = 30

multiply the 2(4-y) part:

8 -2y + 3y = 30

simplify:

8 + y = 30

subtract 8 from each side:

y = 22

now substitute the value of y back into the first equation to solve for x:

x + 22 = 4

subtract 22 from both sides:

x = -18

Check:

x + y = 4

22 -18 = 4  

4 = 4       (this checks)

2(-18) + 3(22) = 30

-36 + 66 = 30

30 =30     (this checks also)

PS: you could have solved for y first if you had wanted to. The results would be the same.

amit deposited Rs.5000 in a bank which pays 8% per annum interest deposit . how much interest will he get at the end of 4 years also find the amount​

Answers

Step-by-step explanation:

Hope it helped

pls mark BRAINLIEST

If all the areas on the spinner are the same size, what is the probability the spinner will land on a circle?


75%
50%
12.5%

25%

Answers

Answer:

50

Step-by-step explanation:

Answer: 50%

Step-by-step explanation:

Find the sum of -7x^2-6x+9−7x 2 −6x+9 and -3x^2-x+7−3x 2 −x+7. show work

Answers

Let's simplify step-by-step.

−7x2−6x+9−7x2−6x+9

=−7x2+−6x+9+−7x2+−6x+9

Combine Like Terms:

=−7x2+−6x+9+−7x2+−6x+9

=(−7x2+−7x2)+(−6x+−6x)+(9+9)

=−14x2+−12x+18

Answer:

=−14x2−12x+18

Let's simplify step-by-step.

−3x2−x+7−3x2−x+7

=−3x2+−x+7+−3x2+−x+7

Combine Like Terms:

=−3x2+−x+7+−3x2+−x+7

=(−3x2+−3x2)+(−x+−x)+(7+7)

=−6x2+−2x+14

Answer:

=−6x2−2x+14

Answer: -10x^2-7x+16

Step-by-step explanation: (-7x^2-6x+9)+(-3x^2-x+7)  

-7x^2-6x+9-3x^2-x+7

Nothing to distribute.

Combine like terms:

Final Answer: -10x^2-7x+16

WILL GIVE BRAINLIEST IMMEDIATELY!!! INSTANT BRAINLIEST!!!!!!!1
I ONLY NEED STATEMENT 7's REASON!!! SEE PHOTO
PUT ANSWER TO STATEMENT 7:
it is either SSS, SAS, ASA, or AAS

5. Consider the figure below.



Given: Parallelogram SUPN, SR ⊥ UN and MP ⊥ UN



Prove: ΔPMU ≅ ΔSRN

Answers

Answer: Lol, do your homework.

Answer:

SAS

Well I took geometry last year so I don't know how to explain it well but when you move from each Angle/Point it wouldn't make sense for it to be SSS, or AAS, or any other one since there is only one given angle which is 90 degrees and its in between the sides.

Find the circumference and the area of a circle with radius 6 km.
Write your answers in terms of it, and be sure to include the correct units in your answers.

Answers

Answer:

Circumference: 12pi or 37.7

Area: 36pi or 113.1

Step-by-step explanation:

C = 2(pi)r

C = 2 * pi * 6

C = 12pi or 37.7

A = (pi)r^2

A = pi * 6^2

A = 36pi or 113.1

Brainliest to whoever answers first!!!Z'(5, -7) is the image of Z after a reflection
in the line y=x. What are the coordinates
of Z?

Answers

Answer:

I think its Z (-5, 7)

Step-by-step explanation:

Here :)

The coordinates of Z is (7, -5).

Given that, Z'(5, -7) is the image of Z after a reflection in the line y=x.

We need to find the coordinates of Z.

What is the reflection in the line y=x?

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

So, the coordinates of Z become (7, -5).

Therefore, the coordinates of Z is (7, -5).

To learn more about the reflection visit:

https://brainly.com/question/15487308.

#SPJ2

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