Answer:
43.75feet
Step-by-step explanation:
Given the height of the tennis ball expressed as;
h(t) = -15t^2 + 45t + 10
At maximum height, the velocity of the ball is zero
v = dh/dt
dh/dt = -30t + 45
Since dh/dt = 0, hence;
0 = -30t + 45
30t = 45
t = 45/30
t = 3/2
t = 1.5secs
Substitute t = 1.5 into the expression given
h(1.5) = -15(1.5)^2 + 45(1.5) + 10
h(1.5) = -15(2.25)+67.5+10
h(1.5) = -33.75+77.5
h(1.5) = 43.75feet
Hence the maximum height of the ball is 43.75feet
And the second question asks
Are the systems of equations
equivalent?
Yes
No
use the distributive property to remove the parentheses for this question?
-5 (4v - 2u - 3)
9514 1404 393
Answer:
-20v +10u +15
Step-by-step explanation:
The factor outside parentheses multiplies each term inside parentheses.
-5(4v -2u -3) = (-5)(4v) +(-5)(-2u) +(-5)(-3)
= -20v +10u +15
A
Write an explicit formula for an, the nth term of
the sequence 17, 15, 13, ...
Tn=-2n+19
Step-by-step explanation:
Well in south africa we use Tn
Tn=a+(n-1)d
a=is the first term in the sequence which is 17
d=is the the difference between the terms which is - 2
Tn=17+(n-1)(-2)
Tn=17-2n+2
Tn=-2n+19
The axis of symmetry for the graph of the function f(x) = 3x^2 + bx + 4 is x = 3/2 . What is the value of b?
Answer:
b = -9
Step-by-step explanation:
Axis of symmetry of a parabola = -b / 2a.
Where y = ax² + bx + c.
Given f(x) = 3x^2 + bx + 4,
a = 3, and c = 4.
If the axis of symmetry is 3/2, than b can be found by substitution and algebra.
[ x = -b / 2a ] → [ 3 / 2 = -b / 2a ] →
[ 3 / 2 = -b / 2 (3) ] → [ 3 / 2 = -b / 6 ] →
[ 3 / 2 × 6 = -b / 6 × 6 ] → [ 18 / 2 = -b ] →
[ 9 = -b ] → [ -b = 9 ] → [ (-)(-b) = (-)(9) ] →
b = -9
11x - 8y = -4
-4x + 3y = 2
Answer:
x=4, y=6. (4, 6).
Step-by-step explanation:
11x-8y=-4
-4x+3y=2
----------------
4(11x-8y)=4(-4)
11(-4x+3y)=11(2)
-------------------------
44x-32y=-16
-44x+33y=22
-------------------
y=6
11x-8(6)=-4
11x-48=-4
11x=-4+48
11x=44
x=44/11
x=4
help please if woukd be greatly appreciated !!!
Answer: ok i don't know but you can copy and paste the question then search it in the search bar because i can guaranty that someone has asked that question before. and then all you got to do that and you can keep your points. hope this helps! ;)
Step-by-step explanation:
Orlando tiene como tarea obtener el resultado correcto de la operación 14 + 5 – 6 x 2 ¿Hallará el resultado correcto efectuando (14 + 5) – (6 x 2) o (14 + 5 – 6) x 2?.
Responder:
(14 + 5) - (6 x 2)
Explicación paso a paso:
Para la operación dada:
14 + 5-6 x 2
Siguiendo la prioridad de operación matemática BODMAS.
Multiplicamos antes de realizar la suma:
-6 * 2 = 12
Ahora;
14 + 5 - 12
19 - 12 = 7
Por tanto, comprobamos cuál de las opciones nos da 7
(14 + 5-6) x 2
13 * 2 = 26
(14 + 5) - (6 x 2)
19 - 12 = 7
Por lo tanto, esto (14 + 5) - (6 x 2) da el resultado correcto
7 3/4 as a percent? PLZ WILL GIVE BRAINLIEST TO BEST ANSWER
Answer:
7 3/4 = 775%
Step-by-step explanation:
pls mark meh as brainliest!
Can someone help me please
Answer:
first draw a line that goes through (0,-5) and (1,-4) and then another one that goes through (3,-2) and (0,-1)
I need help ASAP with this please help
Answer:11/18, or 11 to 18.
A triangle has sides of LaTeX: 1\frac{1}{6}1 1 6 inches, LaTeX: 1\frac{1}{3}1 1 3 inches, and LaTeX: 1\frac{2}{3}1 2 3 inches. What is the perimeter of the triangle? Make sure your answer is in simplest form.
Answer:
4 1/6 inches
Step-by-step explanation:
A triangle has sides of LaTeX: 1\frac{1}{6}1 1 6 inches, LaTeX: 1\frac{1}{3}1 1 3 inches, and LaTeX: 1\frac{2}{3}1 2 3 inches. What is the perimeter of the triangle? Make sure your answer is in simplest form.
Perimeter of Triangle = Side a + Side b + Side c
Perimeter of the Triangle =
( 1 1/6 + 1 1/3 + 1 2/3) inches
Lowest common denominator = 6
= 1 + 1 + 1 +(1/6 + 1/3 + 2/3)
= 3 + (1 + 2 + 4/6)
= 3 + 7/6
= 3 + 1 1/6
= 4 1/6 inches
I need help finding area fast
Answer:
24
Step-by-step explanation:
The awnser is 24 because you have to multiple 6x4
Step-by-step explanation:
6x4=24
6 to the third power + 5(4 − 2)
28
36
226
234
Answer:
226
Step-by-step explanation:
6 x 6 x 6 = 216
4 - 2 = 2 x 5 = 10 so add 216 and 10 together to get an answer of 226
is income take home pay?
Answer:
Take-home pay is the net amount of income received after the deduction of taxes, benefits, and voluntary contributions from a paycheck.
Step-by-step explanation:
Hope this helps!
A container holds 2
3
gallon of apple juice. If four people from the cross-country track team share the juice equally, how much juice will each team member get?
You would
to solve this problem.
Each runner will get
gallon of apple juice.
Answer:
5.75 gallon each
Step-by-step explanation:
Simple unit rate problem
So we have 23 gallons of apple juice and 4 people sharing this 23 gallons evenly. So we jsut divide. 23/4= 5.75
So 5.75 gallon each.
Answer:
5 3/4 (5.75)
Step-by-step explanation:
23 divided by four team mates equals 5.75
A. GIVE AN EXAMPLE OF THE FOLLOWING AROUND YOUR HOME POINTS 1. 2. 3. 4. LINE /RAY/SEGMENT 5. 6. 7. 8. PLANE 9. 10.
Inés tiene una linda colección de estampillas en el álbum de Europa tiene274,de Francia 188,de Italia ;254 de Alemania y 124 de España sien el álbum de América hay 854 estampillas ¿en que álbum hay mas estampillas?
Answer:
la puedes a sed a engles no se mucho español.
what are the inverse operations for addition and multiplication?
Answer:
Operations Inverse operations
Addition Subtraction
Subtraction Addition
Multiplication Division
Division Multiplication
Step-by-step explanation:
i hope this will help you
which is the graph of x^2/16+y^2/6=1
Answer: The graph ou are looking for is added in the picture.
Graph 1 shows the correct representation the solution of the system.
What is solution of system of linear equation?The point that satisfies all of the equations in a system of linear equations is called the solution.
A system of linear equations could be solved through graphing as well as identifying the intersection point, or by solving the variables algebraically.
here, we have,
For the given question;
The system of linear equation are given as;
x + 2y ≤ 16 .......eq 1
4x + y > 6 ......eq 2
Consider equation 1;
x + 2y = 16
For x = 0; y = 8 , Point = (0, 8)
For y = 0, x = 16, Point = (16, 0)
As the inequality of the eq 1 is less than equal to, the shaded region will lies below the line with solid lines.
Consider equation 2;
4x + y = 6
For x = 0; y = 6 , Point = (0, 6)
For y = 0, x = 1.5, Point = (1.5, 0)
As the inequality of the eq 2 is greater than, the shaded region will lies above the line with doted lines.
Thus, graph 1 shows the correct representation the solution of the system.
To know more about the solution of system of linear equation, here
brainly.com/question/13054392
#SPJ3
complete question:
Which graph is the solution of the system
x+2y≤16
4x+y>6
1 2 3 4
The base of a pyramid is a rectangle with a width of 4.6 cm and a length of 9 cm. What is the height, in centimeters, of the pyramid if its volume is 124.2 cubic cm?
Answer: 9 cm
Step-by-step explanation:
The volume of a pyramid is calculated by the formula:
Volume = (Length * Width * Height ) / 3
Filling in the details from the question will give:
124.2 = (9 * 4.6 * h) / 3
Solve for h:
9 * 4.6 * h = 124.2 * 3
41.4h = 372.6
h = 372.6 / 41.4
h = 9 cm
Couple more to go, thx for the help >:)
Answer: Question 1 is x=9
Question 2 is y=-3
Step-by-step explanation:
help anyone giving 5 stars
Answer:
The answer is: B
Step-by-step explanation:
Hope this helps!
Hey! We are studying about weather systems and she wanted to know for Saturday morning where the tornadoes would be in tennessee since there is a strong storm system coming. Marking brainliest!!!!! Sorry supposed to be for science!!!!
Answer: I think the tornadoes hit Alabama and there are just serevere thunderstorm at places like C h a t t a n o o g a or C l e v e l a n d.
01 Fill in the Blank Dropdown
The number that occurs the most in a set of data is called the
The middle number in a set of data that is in order from least to greatest is called
The average of a set of numbers is called
The
can be more than one number.
02 Fill in the Blank Dropdown
Answer:
Number that occurs the most: mode
Middle number in ordered set of data: median
average of a set of numbers: mode
More than one number: i think it is mode
Step-by-step explanation:
please help me simplify this
Step-by-step explanation:
Given
sin(α+β) cos(α-β) +cos(α+β) sin(α -β)
We can see it is in the formula of
sin(A + B) = sinA cosB + cosA sinB
So now
Sin ( α + β + α - β)
= sin 2α
Or we can write sin2α as
= 2 sin α * cos α
Hope it will help :)❤
Which fraction correctly shows the probability of14 favorable outcomes and 37 possible outcomes?
Answer: 14/37
Step-by-step explanation:
Work out the size of angle PRQ.show working out
Answer:
I got full 3 marks for this but you might have to reword depending on how your mathswatch was set
Step-by-step explanation:
12-2=10
10×180=1800
1800/12=150
=150˚
150/2=75
=75
Henry flies from Washington, D.C., to Boston, MA. The first flight from Washington, D.C., to New York City is 1 h 12 min. The layover in New York City lasts 2 h 41 min.The flight from New York City to Boston lasts 1 h 10 min. How long is it from the time the first flight takes off to the time Henry touches down in Boston?
Answer: It is 5.05 hours or 5 hours 3 minutes from the time the first flight takes off to the time Henry touches down in Boston
Step-by-step explanation:
1 hour = 60 min
Given :Time for flight from Washington D.C. to New York City = 1 h 12 min = 72 min
Lay over in New York = 2 h 41 min = 161 min
Time for flight from New York City to Boston = 1 h 10 min = 70 min
Thus total time for Henry to touch down Boston = Time for flight from Washington D.C. to New York City + Lay over in New York + Time for flight from New York City to Boston = 72 min + 161 min + 70 min = 303 min = 5.05 hour
5.05 hours or 5 hours 3 min from the time the first flight takes off to the time Henry touches down in Boston
The organizers of a carnival need to buy a total of 200 small and large signs combined for the event. If the small signs cost $5 and the large signs cost $10, how many signs can they buy with $1500.00. Write the systems of equation and solve the system by graphing.
Answer:25$
Step-by-step explanation:
Darrin has 702 CDs in his collection Dana has 367 CDs and her collection how many more CDs does Darrin have more than dana