Answer:
The maximum height of the ball is: 14.0625ft
Step-by-step explanation:
The missing information is:
[tex]h(t) = 30t - 16t^2[/tex]
Required
The maximum height the ball attained
First, we calculate the time to reach the maximum height.
For a function: [tex]h(t) = at^2 + bt + c[/tex]
The maximum is: [tex]t = \frac{-b}{2a}[/tex]
So, the maximum of [tex]h(t) = 30t - 16t^2[/tex] is:
[tex]t = \frac{-b}{2a}[/tex]
Where
[tex]a = -16; b = 30[/tex]
So:
[tex]t = -\frac{30}{2*-16}[/tex]
[tex]t = -\frac{30}{-32}[/tex]
[tex]t = \frac{30}{32}[/tex]
[tex]t = 0.9375[/tex]
The maximum height is then calculated as:
[tex]h(t) = 30t - 16t^2[/tex]
[tex]h(0.9375) = 30 * 0.9375- 16 * 0.9375^2[/tex]
[tex]h(0.9375) = 28.125- 14.0625[/tex]
[tex]h(0.9375) = 14.0625[/tex]
The length of a trip varies directly as the amount of gasoline used. Yael's car used 16 L for the first 145 km of his trip from Toronto to Montreal. a) How much gasoline, rounded to the nearest litre, should he expect to use in the remaining 400 km of his trip? b) Can he complete the trip with a budget of $70, if gasoline costs $1.13/L?
Answer:
44
yes. the total cost is 68 which is less than 70
Step-by-step explanation:
There is positive proportionality is two variables are positively related to each other.
The equation for direct proportionality =
y = bx
where y = dependent variable
b = constant
x = independent variable
amount of gasoline = b x length of the trip
16 = b x 145
b = 16/145 = 0.110345
a. 400 x 0.110345 = 44
total litres used for the trip = 44 + 16 = 60
total cost of the trip = 60 x 1.13 = 67.8
total amount spent on gasoline is 67.8. this is less than the budget
Please help me with this
9514 1404 393
Answer:
2/3
Step-by-step explanation:
The value of the function at x=-1 can be found by substituting that value for x and doing the arithmetic.
f(-1) = 1/3(-1)³ -(-1)
f(-1) = -1/3 +1 = 2/3
The relative maximum value is 2/3.
Pls help
What are the coordinates of the vertex of the parabola y = 2(x + 2)?
Enter your answer as an ordered pair, like this: (42, 53)
Answer:
vertex is (-2,0)
Step-by-step explanation:
You roll two six-sided dice. What is the probability that the sum will be even or a multiple of five? Round your answer to the nearest tenth of a percent.
Answer:
0.51
Step-by-step explanation:
pls help
In Miss McGee's homeroom, there are 5 blonds, 9 brunettes, 2 redheads, and 2 students with black hair. If Miss McGee chose a student at random, what is the probability that the student would be a red head
Answer:
2/18 or if needed simplified 1/9. count all the people you get 18 the red head is 2.
Answer:
2 out of 18
Step-by-step explanation:
5+2+2+9= 18 redheads = 2
As shown in the example, one corner of the solar panel has coordinates (3,6). What are thr coordinates of the other cornor of this side that is 3 meters from the edge?
Answer:
The co-ordinates of the other corner of this side which is 3 meter from the edge is (3,3)
Step-by-step explanation:
Given
One corner of the solar panel is (3,6)
The co-ordinates of the other corner of this side which is 3 meter from the edge is
X co-ordinates = 3
Y co-ordinates = 6-3 = 3
The co-ordinates of the other corner of this side which is 3 meter from the edge is (3,3)
I need help! Will give Brainliest to right answer!
Answer:
(0,-7)
Step-by-step explanation:
a^2+B+c
c= y intercept.
therefore the answer is (0,-7)
Answer:
the y intersept is (0,-7)
Step-by-step explanation:
A theatre has seats arranged in rows of 24, three hundred eighty -two(382) people attend a show at the theatre. What is the smallest number of rows that is needed to seat these people?
Answer:
Smallest number of rows that is needed to seat these people = 16
Step-by-step explanation:
Given - A theatre has seats arranged in rows of 24, three hundred eighty -two(382) people attend a show at the theatre.
To find - What is the smallest number of rows that is needed to seat these people?
Solution -
Given that,
Total number of seats in a Row = 24
Let us assume that, there are x rows
As.
There are 382 people in the Theatre
So,
Minimum seats required is
24 x = 382
⇒x = 382 ÷ 24
⇒x = 15.91
i.e.
Smallest number of rows that is needed to seat these people = 16
find the value.plzzz I will mark as the brillianest plzzzzzzzzzzzzzzzzzzzz
Answer:
n= 75
y= 75
z= 50
p= 105
other n across from p= 105
Step-by-step explanation:
n and y are the same since the triangle is isoseles.
p is supplemetary to n
z and 50 are opposites in a quadrilateral
Need help !! Slove for c
Four students are painting a wall mural for their school.Each student paints 5/7 square yard of wall space.What is the total area of the wall mural that is being painted(ASAP PLEASE)
Exercice 6 (3 points). Résoudre le problème suivant :
On partage 9 800 euros entre 3 personnes. La première reçoit 240 euros de moins que la
seconde
et la part du troisième est égale aux trois quarts de la somme des parts des deux autres.
Calculer la part de chaque personne.
Answer:
P 2.680 S 2.920 T 4.200
Step-by-step explanation:
S = seconde
Premiere = S-240
Troisieme = 3/4( 2S -240)
S + S-240 + 3/4(2S-240) = 9800
Multiplie tout par 4 pour eliminer la fraction
4S + 4S -960 + 6S - 720 = 39200
14 S = 40.880
S = 2.920
P = 2.920-240 = 2.680
T =3/4(5.600) = 4.200
2.920 + 2.680 + 4.200 = 9.800
The sound of a jet engine of a skyhawk jetfighter is 70000 times louder than the sound of a lawnmower if the lawnmower has the loudness of 88db then what is the loudness of the jet engine rounded to the 1DP
Answer: 6,160,000 db
Step-by-step explanation:
The sound of a jet engine is 70,000 times louder than that of a lawn mower.
Since we know the sound of a lawnmower, we can multiply that by 70,000 to find the sound of a jet engine:
= Sound of lawnmower * 70,000
= 88 * 70,000
= 6,160,000 db
Expand and combine like terms.
(6y^2+ 5y^4)^2
Answer:
36y⁴ + 60y⁶ + 25y⁸
Step-by-step explanation:
(6y² + 5y⁴)² = (6y² + 5y⁴)(6y² + 5y⁴)
we can use the FOIL method to get:
36y⁴ + 30y⁶ + 30y⁶ + 25y⁸
we can simplify the two middle terms and get:
36y⁴ + 60y⁶ + 25y⁸
Answer:
[tex]\left(6y^2+5y^4\right)^2[/tex]
[tex](6y^2+5y^4)^2=36y^4+60y^6+25y^8[/tex]
[tex]=\left(25y^8+60y^6+36y^4\right)[/tex]
[tex]=\left(36y^4+60y^6+25y^8\right)[/tex]
[tex]=36y^4+60y^6+25y^8[/tex]
---------------------------
hope it helps...
have a great day!!
Who would I solve this?
[tex]\frac{12r}{r+2} =\frac{4}{r+2} -6[/tex]
Answer:
[tex]r = \frac{-4}{9}[/tex]
Step-by-step explanation:
[tex]\frac{12r}{r+2}= \frac{4}{r+2} -6 \\\\\frac{12r}{r+2}= \frac{4-6(r+2)}{r+2} \\\\\frac{12r}{r+2}= \frac{4-6r-12}{r+2}\\\\12r = -6r - 8\\\\12r + 6r = -8 \\\\18r = -8\\\\r = \frac{-8}{18} = \frac{-4}{9}[/tex]
How to graph y= 2x -2
Answer:
start at the y coordinate -2 then go up 2 and right 1
Step-by-step explanation:
I need help time is running!!
Answer: 1/3piex^2
3rd one down
Step-by-step explanation:
I’m not positive sorry if I’m wrong
At a college, the cost of tuition increased by 9%. Let z be the former cost of tuition. Use the expression z + 0.09z for the new cost of tuition. Write an equivalent expression by combining like terms
12 pointsss!!!
Use the function r(x)=2x+1
if r(b)=19 what is the value of b?
Let's think of this like a point. We know the y-value, but not the x-value. Therefore, in order to find b, we should plug in our known y-value, 19, for r(x).
19 = 2b + 1 || We can leave it as x in our equation or change it to b. Either way you will get the same answer. I changed it to b in this case just to follow through with what the question is asking.
18 = 2b
b = 9
Hope this helps!! :)
Answer:
9
Step-by-step explanation:
They are asking what value of x can you input into 2x+1 so that the outpot is 19.
In other words, you need to solve 2x+1=19.
Subtracting 1 on both sides gives: 2x=18.
Dividing 2 on both sides gives: x=9.
So r(9)=19 since 2(9)+1 is 19.
the height in feet above the ground of an arrow after it is shot can be modeled by y=-16r^2+63r+4.Can the arrow pass over a tree that is 68 feet tall? Explain.
Answer:
yes
Step-by-step explanation:
y=-16r^2+63r+4
maximum value of y :
y'=0
-32r +63=0
r= 63/32
y = -16(63/32)²+63(63/32)+4
= -4 + 124 + 4 = 124 ft
124 > 68
the Arrow can pass over the tree
Solve the expression for a=12 , b=6 and c=3
Answer: 24
Step-by-step explanation: First, you fill in the values for each letter; replace any a with 12, replace any b with 6, and replace any c with 3. Then, enter the equation into the calculator like so, and it should be equal to 24.
I hope this helps. Have a nice day.
NEED HELP with my question
Answer:
Should be around 3.60555
Step-by-step explanation:
Round it to whichever place it needs to be rounded
|x-1|-1=1 what’s the value of x
Answer:
x=3, x=-1
Step-by-step explanation:
|x-1|-1=1
Add 1 to each side
|x-1|-1+1=1+1
|x-1|=2
Now set the absolute value to ±2
x-1 = 2 and x-1 = -2
Add 1 to all sides
x-1+1 = 2+1 x-1+1 = -2+1
x=3 x = -1
F(x)=3x^2+2 the quadratic function g(x) is the function f(x) stretched vertically by a factor of 4. Enter the equation of g(x) in the box
Answer:
g(x) = 12*x^2 + 8
Step-by-step explanation:
For a function f(x), a vertical stretch of scale factor k is defined as:
g(x) = k*f(x)
In this case, we know that f(x) = 3*x^2 + 2
And the function g(x) is the function f(x) vertically stretched by a factor of 4, then we have k = 4
and:
g(x) = 4*f(x)
Replacing by the actual function, we get
g(x) = 4*(3*x^2 + 2)
g(x) = 4*3*x^2 + 4*2
g(x) = 12*x^2 + 8
HURRYYYY PLEASE!!! Does the graph of this equation open up or down?
f(x) = 22
- 5
O up
O down
Answer: Down
Step-by-step explanation:
down nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
HELP PLEASE HURRY 10 POINTS In the figure below, which answer choice correctly identifies the name of two
line segments?
PICTURE INCLUDED
Answer:
B.
Step-by-step explanation:
Answer:
it say 5 points scam
Step-by-step explanation:
What is the probability that the next person you meet was not born in February assume no leap year
A)337/365
B)28/365
C)11/12
D)1/2
Answer:
C, 11/12.
Step-by-step explanation:
There is only one February in one year, and there are eleven other months (January, March, April, May, June, July, August, September, October, November, December) so therefore 11/12 is the correct answer.
please help me with this one
Step-by-step explanation:
15*8= 120
120/2= 60
60*13= 780
So its B.
A N S W E R
Q U I C K L Y
P L E A S E
Answer:
Your answer is D
Step-by-step explanation:
I literally have an Math Expert right next to me and he verified this answer!
Plz gimme a like!!