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
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
Darrin has 702 CDs in his collection Dana has 367 CDs and her collection how many more CDs does Darrin have more than dana
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
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
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
I need help ASAP with this please help
Answer:11/18, or 11 to 18.
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)
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
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:
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
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.
help anyone giving 5 stars
Answer:
The answer is: B
Step-by-step explanation:
Hope this helps!
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 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
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.
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!
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
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:
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
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
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
Couple more to go, thx for the help >:)
Answer: Question 1 is x=9
Question 2 is y=-3
Step-by-step explanation:
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!
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
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.
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
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:
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