Given:
The height of ball is represented by the below function:
[tex]h(t)=-16t^2+20t+24[/tex]
To find:
The number of seconds it will take to reach the ground.
Solution:
We have,
[tex]h(t)=-16t^2+20t+24[/tex]
At ground level, the height of ball is 0, i.e., [tex]h(t)=0[/tex].
[tex]-16t^2+20t+24=0[/tex]
Taking out greatest common factor.
[tex]-4(4t^2-5t-6)=0[/tex]
[tex]4t^2-5t-6=0[/tex]
Splitting the middle term, we get
[tex]4t^2-8t+3t-6=0[/tex]
[tex]4t(t-2)+3(t-2)=0[/tex]
[tex](t-2)(4t+3)=0[/tex]
Using zero product property, we get
[tex](t-2)=0[/tex] and [tex](4t+3)=0[/tex]
[tex]t=2[/tex] and [tex]t=-\dfrac{3}{4}[/tex]
Time cannot be negative, so [tex]t=2[/tex].
Therefore, the ball will reach the ground after 2 seconds.
Match the word with the definition.
Step-by-step explanation:
practical range = 8
vertical line test = 5
range = 3
domain = 2
relation = 1
function = 4
function Notation =6
practical domain=7
Does anybody know the answer to this question Im having lots of problems
This is the same as writing [tex]3^9[/tex]
====================================================
How to get that answer:
The lowest height is 3^8, and the highest point is 3 times that value.
We can think of that second "3" as really 3^1. This is because x^1 = x for any real number.
Multiply 3^8 and 3^1 using the rule that a^b*a^c = a^(b+c). We add the exponents together.
Therefore, 3^8*3^1 = 3^(8+1) = 3^9
Side notes:
3^8 = 6,5613^9 = 19,683Answer:
3^9
Step-by-step explanation:
3 * 3^8
3^1 * 3^8
3^1+8
= 3^9
Jake wants to distribute 543 marbles equally among 7 of his friends. In which place is the first digit of the quotient?
Answer:
tens place
Step-by-step explanation:
543/7≈77.5714285714
the first digit of the quotient is in the tens place
The first digit of the quotient is in tens place.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Jake wants to distribute 543 marbles equally among 7 of his friends.
Now,
Since, Jake wants to distribute 543 marbles equally among 7 of his friends.
Hence, Number of marbles get by each friend = 543/7
= 77.57
Thus, The first digit of the quotient is in tens place.
Learn more about the divide visit:
https://brainly.com/question/28119824
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Is the question below a statistical question?
Do teachers make more money than nurses?
Yes or no please answer !!
Answer:
no
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
What is the volume of the solld figure that has a helght of 11 feet and the following base?
volume___ft 3
Step-by-step explanation:
Area is 2D, and Volume is 3D
volume is L x W x H
area is L x W which has already been given to you so you just need to use the height given to you
38.28 x 11
Write the factored form of each trinomial.
x^2 + 11x +28
Answer:=
=(x^2+4x)+(7x+28)
=x(x+4)+7(x+4)
=(x+4)(x+7)
Step-by-step explanation:
Answer:
[tex](x+4) (x+7)[/tex]
Step-by-step explanation:
Factor x^2 + 11x + 28 using the AC method.
Find the mean of this data set: 11, 13, 13, 11, 13
Answer:
I'm saososowowo3iwiqiwuwuwuwbabahaqbqnwnwnwnwnwnwnwnwnwnwnwnwnwnwnwnwnen
Answer:
I'mnot really sure if it might be correct but I believe it's 12.2 :))
Please help!!!!!!
if
Answer:
if what
Step-by-step explanation:
if we dare or if we must
Answer:
If what?
Step-by-step explanokation:
So, I don't understand what the question is here. Please elaborate.
356-45= ????????????????
Answer:
311
lol
Step-by-step explanation:
Answer:
Easy! It’s 311!
Step-by-step explanation:
1. Write down 356 - 45.
2. What is 6 - 5? It’s 1.....
3. What is 5 - 4? It’s 1......
4. Put the 3 in the hundreds place so your answer should be 311.
Math please help I will be happy :)
Answer:
89
Step-by-step explanation:
mark it as the brainliest
Part B Liam buys a pair of jeans that cost $29.99 and 5 shirts that each cost the same amount of money. He spends a total of $94.94. • Write an equation or inequality to represent the cost of each shirt that Liam buys. Define all variables used. • What is the cost of each shirt that Liam buys? Show your work.
Given :
Liam buys a pair of jeans that cost $29.99 and 5 shirts that each cost the same amount of money.
He spends a total of $94.94.
Solution :
Let, cost of each shirt is $ x.
It is given that there are 5 shirt and each cost the same.
Also, the sum of 5 shirt and a pair of jeans is equal to $94.94 .
So,
[tex]29.99 + 5x = 94.94\\\\5x = 94.94 - 29.99\\\\x = \$ 12.99[/tex]
Therefore, the cost of each shirt that Liam buys is $12.99 .
hey! please help i’ll give brainliest
Answer:
Heyo! the answer is A since their implying it's important :)
Three friends will run race. If three friends no ties, in how many distinct order can these 3 friends finish the race?
===========================================================
Explanation:
Let's name the friends A, B, C
If person A is first, then B or C could be second and third.
So we have ABC or ACB as two possible outcomes.
If B is first, then either A is second or C is second. Meaning we have BAC or BCA.
If C is first, then we have CAB or CBA
Overall here are the 6 different ways to have the runners finish
ABC ... A is firstACB ... A is firstBAC ... B is firstBCA ... B is firstCAB ... C is firstCBA ... C is firstNote how for the first slot we have 3 ways to pick the winner. Then after that selection is made, we have 2 choices left, then 1 choice for third place. Therefore, 3*2*1 = 6 different outcomes are possible.
We can use the factorial operation on the calculator to do this with one button press, so we'd say 3! = 6. The exclamation mark means "multiply from 3 down to 1, counting down the whole time".
Another example of a factorial is:
5! = 5*4*3*2*1 = 120
3 = [?]
60°
120° 60°
question in photo. i'll give brainliest to whoever gets it right/done quickest. thank you!
Answer:
Daniel's time: 3 minutes 45 seconds
Brandon's time: 3 minutes 27 seconds
Step-by-step explanation:
Well, 5 feet per every second so side A would be 327.6 / 3 = 109.2
then 489 / 5 = 97.8 add them two you get 207 seconds which is 3 minutes and 45 seconds for Daniel.
For Brandon you have to find the hypotenuse of the triangle which in short is 588.6 / 3 = 196.2
This was my first answer on this so though Its problebly not the best I hope I did something to help. ;-;
If WXYZ is a square, which statements must be true? Check all that apply.
Answer:
A might be right
hope this is helpful
The required correct statement for WXYZ to be a square is given as,
A. WX ≅ XY.
C. WXYZ is parallelogram.
D. ∠W is congruent to ∠Y.
E. ∠W is a right angle.
A frame with a square shape i.e. all sides are identical and the measure of the angle between the side is 90°.
Here,
A square is a four-sided regular polygon, and also square is said to be a parallelogram because the opposite of a square is parallel. And each of the four angles of the square is equal to each other and has a measure of 90°.
Thus, the correct statement for the square has been shown above.
Learn more about square here:
https://brainly.com/question/1658516
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What is the value of 3'5/3'3
Answer:
1.05128205Step-by-step explanation:
hope it helps
#carryonlearning
Please help me solve this math it’s due in 1 hour
Find the sum of x^2+3x and
-2x^2+9x+5
Answer: The answer is -x^2 + 12x + 5
helpppppppppppppppppppppppp asappppp!!!!!!!!!!1
Answer:
(2) angle EZD = angle AZB (vertically opposite angles)
angle EZD = 90 degree
(3) angle DXC = 180 - 143 (Linear Pair axioms)
= 37 degree
Hope u understand
Please mark as brainliest
Thank You
The measure <EZD = 90°
The measure <DXC = 37°
I hope you understand....
This is a Right answer....
What equation is equivalent to 2 - 3 (5x+2) = 6?
A) -15x - 4 = 6
B) -15x + 4 = 6
C) -5x - 2 = 6
D) -5x + 2 = 6
solve the inequality 24<5x-1
Answer:
5 < x
Step-by-step explanation:
24<5x-1
Add 1 to each side
24+1<5x-1+1
25 < 5x
Divide by 5
25/5 < 5x/5
5 < x
Answer:
X>5.
Step-by-step explanation:
First you swap sides, so 5x-1>24. Then simplify to 5x>25, divide 25 by 5 to get 5.
A square garden has an area of 400 square feet. Each side of the garden is (x-10) feet in length.
Write an equation that represents the AREA of the garden
Find the value of x using the square root method
What is the length of the side of the garden?
Answer:
400 = (x - 10)²
x² -20x -300 = 0
x = 30 and x = -10
Length side of the garden = 20 feet
Step-by-step explanation:
Given:
Area of square garden = 400 square feet
Length side of the garden = (x - 10) feet
Find:
Length side of the garden
Computation:
Area of square = side²
Area of square garden = Length side of the garden²
400 = (x - 10)²
400 = x² -20x + 100
x² -20x -300 = 0
x² -30x + 10x -300 = 0
x(x - 30) + 10(x - 30) = 0
(x - 30)(x + 10) = 0
So,
x = 30 and x = -10
Use x = 30 positive number
Length side of the garden = (x - 10) feet
Length side of the garden = (30 - 10) feet
Length side of the garden = 20 feet
At the start of 2014 Mike's car was worth £12000.
The value of the car decreased by 30% every year.
Work out the value of his car at the start of 2017.
The value of the car at the start of 2017 will be £ 4116
I NEED HELP PLSS ITS LIKE 200 POINTS
Answer:
y=-3/2x+3
Step-by-step explanation:
(0,3) and (2,0) tell us that the y intercept is 3 because at x = 0, y = 3.
This leaves the first and last choice only.
We can calculate the slope by 0-3 and 2-0, so -3/2 is the slope
What is the value of x?
Enter your answer in the box.
Step-by-step explanation:
which class are you
just to confirm
Hey saw this man Turns 250 per on per week Plus a 10% commission all sales over 5000 in one week hey cells Toto 14,000 what were his earning that week A.$1,050 B.$1,150 C.$400 D.$2,150
Answer:
B.$1,150
Step-by-step explanation:
Given data
Weekly earning= $250
commission= 10%
Sales= $14000
Hence the expression for his total earnings per week is
y= 0.1x-250
x= sales
y= total earning
y=0.1*14000- 250
y= 1400-250
y= $1150
Can someone help me with this please
Answer:
where is the diagram?
Step-by-step explanation:
The quotient of Alice’s income and 12 is 1,500
Answer:
125
Step-by-step explanation:
x = 1500 / 12
= 125
what is the equation representing
Answer:
Exponential growth. Hope it helps.