Simplify the expression:
The picture is down below

Answer:

The rocket will reach its highest point about 2.04 seconds.

Step-by-step explanation:

The function:

[tex]f(t)=-4.9t^2+20t[/tex]

Models the relationship between the height of the rocket and the time after launch t in seconds.

Since this is a quadratic function, the rocket will reach its highest point at its vertex. The vertex of a quadratic is given by:

[tex]\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)[/tex]

In this case, a = -4.9, b = 20, and c = 0. Thus:

[tex]\displaystyle t=\frac{-(20)}{2(-4.9)}=\frac{10}{4.9}\approx 2.04[/tex]

The rocket reaches its maximum height after 10/4.9 or about 2.04 seconds.

Further Notes:

Then the maximum height of the rocket will be f(10/4.9):

[tex]\displaystyle f\Big(\frac{10}{4.9}\Big)=-4.9\Big(\frac{10}{4.9}\Big)^2+20\Big(\frac{10}{4.9}\Big)\approx20.41\text{ feet}[/tex]

Answer:

A cube, rectangular prism, sphere, cone and cylinder are the basic 3-dimensional shapes we see around us.

Answer:

2nd option ,

A is correct, B is incorrect, C is correct

Answer:

volume of tank is 157.5m

Step-by-step explanation:

that's too high

Answer:

cool

Step-by-step explanation:

Answer:

6 x g

Step-by-step explanation:

Answer:

[tex]g^{6}[/tex]

Step-by-step explanation:

Answer:

q = 27

Step-by-step explanation:

Answer: 27

Step-by-step explanation: 16+11=27

Answer:

Savings accounts typically pay interest.

Step-by-step explanation:

Answer:

f(- 2) = 8

Step-by-step explanation:

To evaluate f(- 2) , substitute x = - 2 into f(x) , that is

f(- 2) = 3(- 2)² + (- 2) - 2 = 3(4) - 2 - 2 = 12 - 4 = 8

Answer:

(-7, -8)

Step-by-step explanation:

Yes, this is the same answer as the other person, but I just included the other factors, a picture of my table, and the answer to part two is "The pair (-7, -8) equal the coefficient of the x-term in the trinomial."

Have a great day, I hope this helps you or anyone else who might've needed this!

Answer:

Since the equation can be written in the form y=kx, y varies directly with x and k. The constant of variation, k, is 2.15

Answer:

(1,23) , (2,28) , (3,32) , (4,35)

Step-by-step explanation:

Just match the X value with its corresponding Y value

Answer and Step-by-step explanation:

There aren't any real roots.

This is because the equation isn't factorable. You would have to use the quadratic formula to find the roots, which would be imaginary roots, and not real roots.

#teamtrees #PAW (Plant And Water)

Answer:

there seems to be no page ...

Answer:

S(10)=3*(1-(5/3)^10)/(1-5/3)

Step-by-step explanation:

It is Geometric series with r:

r=5/3=(25/3)/5=5/3

a=3

Sum of G.S. in formula:

S(n)=a(1-r^n)/(1-r)

S(10)=3*(1-(5/3)^10)/(1-5/3)

=246.5725...

Answer:

.47

Step-by-step explanation:

9 gumballs in all

7 of them are not green

'ng' = not green

P(ng,ng,ng) = 7/9 x 7/9 x 7/9 = .47

The probability will be 0.87.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring.

Given that,

Number of Pink gumballs = 3,

Number of Red gumballs = 4,

Number of Green gumballs = 2,

Now,

Total number of gumballs = 3 + 4 + 2 = 9,

Thus, total number of ways of selecting 3 gumball

= 9 x 9 x 9

= 729

Number of Green gumballs = 2

Number of gumballs other than green = 9 - 2 = 7

So, Number of ways to draw 3 gumballs other than green is;

= 7 x 7 x 7

= 243

And, Number of ways to draw one green and two other gumballs in 3 draw = 2 x 7 x 7 + 7 x 2 x 7 + 7 x 7 x 2

       = 294

( Since the green gumballs can be drawn in 1st, 2nd, and 3rd draw.)

Thus, The probability of not drawing all 2 green gumballs is;

= 343 + 294 /729

= 637/729

= 0.87

So, The probability will be 0.87.

Learn more about the probability visit:

https://brainly.com/question/25870256

#SPJ6

Answer:

0.416667 foot

Step-by-step explanation:

Answer: 0.41666667

Step-by-step explanation:

From the internet

Answer:

circle with center at (–5, 10), shading inside the circle

Step-by-step explanation:

edge2021

Answer:

A. circle with center at (–5, 10), shading inside the circle

Answer:

Answer for 3:

its 6/2 and 3/1 because 6/2 simplified is 3 and 3/1 is 3

Step-by-step explanation:

Answer for 4

box one 1/4

box 2 4/10

box 3 3/4

Answer:

30+ 15 =45

Step-by-step explanation:

(3×10)+15 =45

Answer:No

Step-by-step explanation:

Answer:

Area= 70x^3y^2

Perimeter = 20x^2 + 14 xy^2

Step-by-step explanation:

Area is just multiplying the length and width, I multiplied the constants first which gets us 70 then multiplied the variables, they combine however only the x's can be multiplied to each other which results in 70x^3y^2 .  The perimeter you just multiply the length by two and the width by two, they are separate because the variables when added to each other do not combine.  

Answer:

Option A

Step-by-step explanation:

Number of components assembled by the new employee per day,

N(t) = [tex]\frac{50t}{t+4}[/tex]

Number of components assembled by the experienced employee per day,

E(t) = [tex]\frac{70t}{t+3}[/tex]

Difference in number of components assembled per day by experienced ane new employee

D(t)= E(t) - N(t)

D(t) = [tex]\frac{70t}{t+3}-\frac{50t}{t+4}[/tex]

      = [tex]\frac{70t(t+4)-50t(t+3)}{(t+3)(t+4)}[/tex]

      = [tex]\frac{70t^2+280t-50t^2-150t}{(t+3)(t+4)}[/tex]

      = [tex]\frac{20t^2+130t}{(t+3)(t+4)}[/tex]

      = [tex]\frac{10t(2t+13)}{(t+4)(t+3)}[/tex]

Therefore, Option A will be the answer.

Answer:

I believe this question should be one solution

Step-by-step explanation:

Hope this Helped