The function of the water balloon is an illustration of a quadratic function.
The balloon will splat on the ground after 2.5 seconds
The function is given as:
[tex]h(t) = -6t^2 + 13t + 5[/tex]
When the balloon splats on the ground, the value of h(t) is 0.
So, we have:
[tex]-6t^2 + 13t + 5 = 0[/tex]
Expand the expression
[tex]-6t^2 + 15t- 2t + 5 = 0[/tex]
Factorize the above expression
[tex]-3t(2t - 5)- 1(2t - 5 )= 0[/tex]
Factor out 2t - 5 in the 2t - 5
[tex](-3t - 1)(2t - 5 )= 0[/tex]
Split the equation into 2
[tex]-3t - 1 = 0\ or\ 2t - 5= 0[/tex]
Rewrite as:
[tex]-3t = 1\ or\ 2t = 5[/tex]
Solve for t
[tex]t = -\frac 13\ or\ t = \frac 52[/tex]
The value of t cannot be less than 0 i.e. negative.
So, we have
[tex]t = \frac 52[/tex]
Divide 5 by 2
[tex]t = 2.5[/tex]
Hence, the balloon will splat on the ground after 2.5 seconds
Read more about quadratic functions at:
https://brainly.com/question/11631534
the length of 2x metres and it's width is 2 metres shorter than its length. what is the area of the rectangle
Answer:
4x^2-4x
Step-by-step explanation:
2x*(2x-2)
(2x)(2x)+(2x)(−2)
[tex]4x^2-4x[/tex]
Hope this helped! :)
Factors that are greater than 1/2 but less than one
6/8
Step-by-step explanation:
1/2 = 0.5
6/8 = 0.75
therefore, 0.75 > 0.5
-6x+3y= -15 4x-3y= 13
Answer:
Equation form = x = 1, y = -3
Step-by-step explanation:
Point form = (1,-3)
In this diagram, lines AC and DE are parallel and line DC is perpendicular to each of them. What is a reasonable estimate for the length of side DE
The reasonable estimate for the length of side DE is 3 units
Find the diagram of the question attached. The given triangle ABC and BDE are similar triangles.
Using the similarity theorem of a triangle, this is expressed as:
AC = DE
Using the pythagoras theorem to get the length of AC:
AB^2 = AC^2 + BC^2
5^2 + AC^2 + 4^2
AC^2 = 25 - 16
AC^2 = 9
AC= 3
Since AC = DE, hence the reasonable estimate for the length of side DE is 3 units
Learn more on similar shapes here: https://brainly.com/question/14285697
Answer:
5/3
Step-by-step explanation:
Which expression is equivalent to -51 - ( -60 ) ?
A. 51 - 60
B. 60 + 51
C. -60 + ( -51 )
D. -51 + 60
Answer:
C
Step-by-step explanation:
brainliest pls
What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1
Answer:
x > -1
Step-by-step explanation:
-10 < x - 9
Add 9 to each side
-10+9 < x - 9+9
-1 < x
x > -1
Answer:
x > - 1Step-by-step explanation:
- 10 < x - 9
- 10 + 9 < x - 9 + 9
- 1 < x
x > - 1
Hope it helps!!May I please receive help?
Ricky scored 20 points in his first game and 18 points in his second game. He played three games during the week and averaged 21 points per game. How many points did he score in his third game?
Answer:
25 points
Step-by-step explanation:
21 x 3
63
-20
43
-18
25
What is the equation for Having your boss pay you 10,000 a day for 3 full weeks
Answer:
210,000 units
Step-by-step explanation:
Let d represent each day
Let p represent amount paid
p = 10000x
If paid for 3 full weeks.
3 weeks is 3x7 =21 days so:
p = 10000x
p = 10000(21)
p = 210000 units
Answer:
210,000
Step-by-step explanation:
10,000x(3x7)
10,000x21=210,000
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
3:7
Step-by-step explanation:
She has 3 tennis and 7 soccer
Chloe can read 75 words in 45 seconds. At this rate, how many words can she read in 15
minutes
Answer:
1500
Step-by-step explanation:
What's the formula for the area of a triangle?
Answer:
A=hb/2
To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2. Find the area of a triangle where height = 5 cm and width = 8 cm. A triangle is always half the area of a rectangle with the same height and width.
Hey there!
“ What's the formula for the area of a triangle?”
The area of triangle formula is:
A = hbB/2
Whereas “hb” is your “height base” & “b” is your “base”
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Side note:
You can look at the question for an example of what the area of a triangle is
If the only force acting on the player is gravity what is F in F=ma?
Answer:
F is the force due to gravity
Step-by-step explanation:
F is the force resulting from gravity acting on the player whose mass is m. 'a' is the acceleration due to gravity, about 9.8 meters/second².
explain how 984/616=123/77
Answer:
984/616 is equal to 123/77 because it is simplified, also meaning reduced by finding the GCF (greatest common factor), which in this case is 8. So therefore, when you divide the numerator of 984 by 8, you get 123, and when you divide the denominator of 616 by 8 as well, you will get 77.
May someone help me with this please?
Answer:
Count to 2 and add 3/8
Step-by-step explanation:
27 subtracted from a number can be written as?
Answer:
example : 100- 27= 73
Step-by-step explanation:
you take a number and then subtract by the number that you were given. I hope this helps!!
Answer:
27 - x (expression that it can be written as)
Mang Andres is going to put eggs in trays of 6 eggs and 12 eggs. What is the smallest number of eggs that Mang Andres can put using the trays?
correct answer=brainliest and likes (the second person will only get likes and rate)
nonsense=report
Answer:
1
Step-by-step explanation:
The LCF of 6 and 12 is 1
Hope it helps
Step-by-step explanation:
can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius
WILL GIVE BRAINLY, THANKS, AND 5 STARS
Answer:
C
Step-by-step explanation:
Long division
I hope this helps have a great day :)
Answer:
The answer is the last one
Step-by-step explanation:
Answer:
= 66 R 30
= 66 30/61
4056 divided by 61 equals
66 with a remainder of 30
Solution:
0 0 6 6
6 1 4 0 5 6
− 0
4 0
− 0
4 0 5
− 3 6 6
3 9 6
− 3 6 6
3 0
What is the median of this set of data: 593, 588, 540, 434, 420, 398, 390, 375
A.564
B.420
C.427
D.394
Jan has a piece of yarn that is 6 1/2 feet long. She cuts off a piece that is 2 5/12 feet long. How much yarn does she have left?
A. 3 3/4 feet
B. 4 1/12 feet
C. 4 3/4 feet
D. 8 7/12 feet
Please keep answer simple, and no absurd, out of context answers, thank you!
on a winter monday in nepal, the temperature was -8F. by 1 pm, it was 27F. how many degrees did the temperature change?
Answer:
35 degrees.
Step-by-step explanation:
Answer:
35 degrees
Step-by-step explanation:
27 - 35 = -8
What is the equation of the line that passes through the point (-4,-2)(−4,−2) and has a slope of -\frac{1}{2}− 2 1 ?
Answer:
Question not clear. I cant see the value for slope.
Step-by-step explanation:
What is the slope of the line that passes through the points (8, -4) and (6, 2)?
Write your answer in simplest form.
Answer:
-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(2-(-4))/(6-8)
m=(2+4)/-2
m=6/-2
m=-3
1. 81 1/2 x 27 1/3
2. 32x = 729
Answer:
1.
Step-by-step explanation:
1. 1.811/2=3.622 271/3=813
3.622*813=2,944.686
this is number one
2. 32x=729
divide both sides by 32
32x=729/32=
22.78125 approximate=22.8 or 23
There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth graders.
1. How many band members are sixth graders?
band members
2. How many band members are seventh graders?
band members
3. What percentage of the band members are eighth graders?
Answer:
1=28 students 2=14students 3=40%
Step-by-step explanation:
1. 70 students = 100%
7 students = 10%
28 students = 40%
28 students are sixth graders!
2.70 students = 100%
7 students = 10%
14 students = 20%
14 students are seventh graders!
3.Percentage of band that is eighth graders: 40+20=60% 100%-60%=40%
40% are eighth graders!
In 2000, the population of a town was 8914. The population is expected to grow at a rate of 1.36% each year.
What is the population of the town in 2006?
Answer:
Approximately 9666 people
Step-by-step explanation:
We can describe this trend as the formula [tex]P=8914(1.0136)^{n}[/tex] where [tex]P[/tex] is the population of the town [tex]n[/tex] years after 2000.
Therefore, the population of the town in 2006 will be [tex]P=8914(1.0136)^{6}\approx9666[/tex]
its math can someone help
Answer:
$2.5/game
Step-by-step explanation:
To find Slope, Change of rate
find two points on the graph
I selected : (4,14) and (8, 24)
Slope: y2-y1/x2-x1
24-14/8-4
10/4
5/2
=2.5
so the rate of change is $2.5/game
HELP!! WITH MATH- Percent increase and decrease!! CHECK THE PHOTO! (I’LL GIVE BRAINLIEST TO THE RIGHT ANSWERS)
Answer: 1. 24
2. 32
3. 22
4. 16
5. 14
6. 34
7. 44
8. 30
9. 24
10. 50
Step-by-step explanation: ive spent lots of time for these and all of them are correct. pls give brainliest
Guy and Jim work at a furniture store. Guy is paid $185 per week plus 3% of his total sales in dollars, X, which can be represented by g(x) = 185 +0.03x. Jim is paid $275 per week plus 2.5% of his total sales in dollars, x, which can be represented by f(x) = 275 +0.025%. Determine the value of x, in dollars, that will make their weekly pay the same.
Answer:
$18,000.
Step-by-step explanation:
When their weekly pay is the same:
185 + 0.03x = 275 + 0.025x
0.03x - 0.025x = 275 - 185
0.005x = 90
x =90/0.005
x = 18,000
A student finds the minimum value of the function
f
(
x
)
=
x
2
−
18
x
+
85
by completing the square. What is the minimum value of the function?
85
85
4
4
−
9
− − 9
−
18