A model rocket is launched directly upward at a speed of 20 meters per second from the ground. The function f(t)=−4.9t2+20t, models the relationship between the height of the rocket and the time after launch, t, in seconds. When, in seconds after launch, will the rocket reach its highest point? Round to two decimal places.
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]
Solve the equation.
q − 11 = 16
Answer:
q = 27
Step-by-step explanation:
Answer: 27
Step-by-step explanation: 16+11=27
8. Carisa is four inches taller than her friend Lily.
Answer:
cool
Step-by-step explanation:
Choose all that correctly solve for the variable x
[tex]\frac{5}{2} x[/tex] = [tex]\frac{15}{2}[/tex]
x = 3
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x + [tex]\frac{7}{2} = 7\\x
= \frac{7}{2}[/tex]
---------------------------------------------------------------------------------
x + 3 = [tex]\frac{21}{5}\\x
= \frac{5}{6}[/tex]
----------------------------------------------------------------------------
5x = \frac{11}{2}
x = |frac{10}{11}
23. Find the perimeter and area of the rectangle below. 10x^2 7xy^2
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.
The probability that a seed will germinate is 0.65. Find the probability that a seed selected at a random will not germinate. *
Answer:
0.35 or 35%
Step-by-step explanation:
The probability that any seed will germinate is said to be 0.65 (or 65%) in the question. This means that the remaining percentage is the probability that the randomly selected seed will not germinate. This is because there is only two possible outcomes to that given scenario, which is it will germinate or not. Meaning that the remaining percentage/probability is that it will not germinate
1 - 0.65 = 0.35 or 35%
5th grade math. correct answer will be marked brainliest.
Answer:
(1,23) , (2,28) , (3,32) , (4,35)
Step-by-step explanation:
Just match the X value with its corresponding Y value
In NOP, the measure of ZP=90°, the measure of ZN=7°, and NO = 3.4 feet.
Find the length of OP to the nearest tenth of a foot.
Which three dimensional figures could be used
Answer:
A cube, rectangular prism, sphere, cone and cylinder are the basic 3-dimensional shapes we see around us.
Solve the equation.
h-3.5 =9h−3.5=9
i am a legend
dont ask i am just a lengnd
The value of h in the equation h - 3.5 = 9 is 12.5.
Mathematically, an equation is a statement that asserts the equivalency of two expressions. It consists of two hands, the left-hand side( LHS) and the right-hand side( RHS), separated by an equal sign( =). The LHS and RHS can be numbers, variables, constants, or further complex fine expressions.
Equations can be classified based on their degree, which corresponds to the highest power of the variables involved. For example, linear equations have a degree of 1, quadratic equations have a degree of 2, and so on.
Given that
h - 3.5 = 9,
Add 3.5 on both sides,
h - 3.5 + 3.5 = 9 + 3.5,
h = 12.5.
So, the value of h is 12.5.
Learn more about Equations here:
https://brainly.com/question/28953876
#SPJ6
The complete question is as follows:
Solve the following equation for h:
h-3.5 =9
please help me with roots
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)
water flows into a tank through a cylindrical pipe with a radius of 10cm at a rate of 30cm/sec. how long will it take to fill the water tank? give answer in hours and minutes.
volume of tank is 157.5m
Answer:
volume of tank is 157.5m
Step-by-step explanation:
that's too high
What is the constant of variation of c=2.15g
Thx to all that help
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
x+3= -10 what is x in the equation
Answer this page: BIG REWARD GRANTED
Answer:
there seems to be no page ...
Simplify 5 xa x 5 x a
Answer:
25 x 3 a 2
Step-by-step explanation:
Which expression is equivalent to the expression below?
g + g+g+g+g+g
Answer:
6 x g
Step-by-step explanation:
Answer:
[tex]g^{6}[/tex]
Step-by-step explanation:
Need help with this question
Answer:
Step-by-step explanation:
EB = 1.25×BC
x+5 = 1.25(x+1)
x+5 = 1.25x + 1.25
3.75 = 0.25x
x = 15
HELP PLSS I BEG plss
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
The entire graph of the function f is shown in the figure below.
Write the domain and range of f as intervals or unions of intervals.
Hannah does push-ups in sets of three she did 10 sets of push-ups today then her coach asked her to do 15 more push-ups how many push-ups did Juana do today
Answer:
30+ 15 =45
Step-by-step explanation:
(3×10)+15 =45
Can a triangle have three acute angles? Justify your answer
Please help me with this! Picture is provided and only answer is you know it!
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.
Can someone please solve this
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer:No
Step-by-step explanation:
15 POINTS!!!!
7 ÷ 0.1 = 7 ÷ 1/10
7 is 1/10 of____.
Help Please
5 in = ___________ ft
Answer:
0.416667 foot
Step-by-step explanation:
Answer: 0.41666667
Step-by-step explanation:
From the internet
The world’s fastest flying insect is the dragonfly. It can fly 36 miles per hour. If a dragonfly flew in a straight path at this rate, what distance would it fly in 15 minutes? (1 hour = 60 minutes) *
3. Factor the following trinomial. x^2 - 15x + 56.
Step 1: The trinomial factors as x2 + bx+ c = (x + p)(x + 9), where p+ q = b and p. q = c. Fill in the
following table with all of the possible values of p and q, using the fact that their product is the
constant term, c = 56. (4 points)
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!
HEEEELPPPPPPPPP Which properties describe the graph of (x + 5)2 + (y – 10)2 < 169?
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