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
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please can someone help with this
Answer:
true
false
true
true
Step-by-step explanation:
A.
For lines p and q, angles 2 and 3 are corresponding angles, so A is true.
B.
Angles 5 and 7 hare note corresponding angles or alternate interior angles. B is false.
C.
For lines r and s, angles 2 and 4 are corresponding angles, so C is true.
D.
For lines r and s, angles 5 and 6 are alternate interior angles, so D. is true.
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Answer:
thankss
Step-by-step explanation:
PLZ HELP find the y and x-intercepts. y=-2x+4 PLEASE EXPLAIN
[tex]\text{Given that,}\\\\y = -2x+4\\\\\text{Plug y= 0 to find the x-intercept,}\\\\0 = -2x +4\\\\\implies 2x = 4\\\\\implies x = \dfrac 42 = 2\\\\\text{So the x - intercept is (2,0)} \\ \\\text{Plug x =0 to find the y-intercept.}\\\\y = -2(0) +4 = 0 +4 = 4\\\\\text{So the y - intercept is (0,4)} \\[/tex]
is this correct ? if not what’s the correct answer?
Answer:
yes
Step-by-step explanation:
please help, i really beg
Answer:
Undefined
Step-by-step explanation: Because the pints are a line so there isnt a slope unless ther is a shape.
I'm saying positive. I don't think you need a shape to find the slope
work out the height of a triangular crosse section with the volume of 35cm
The answer is 2.5 cm.
Sorry if I am incorrect
Pls help me
4(3-x)=6(x+2)+20
Answer:
x = -2
Step-by-step explanation:
How far dose a kangaroo travel in 2 minutes
HELPPP 20 PNTS---- CHOOSE THE WRITE ANSWER!!!!
Answer:
B. is correct answer I think so
Step-by-step explanation:
i need help please
plz mark me as brilliant
Need help on 19-21 homeowrk I don’t need the rest I couldn’t crop out so only 19 throught 21
Answer:
19. 7, 20. 4, 21. 1
Step-by-step explanation:
19. 21 = 3 x 7, 49 = 7 x 7, So they both share 7
20. 8 = 2 x 2 x 2, 52 = 2 x 2 x 13, they both have 2 x 2
21. 32 = 2 x 2 x 2 x 2 x 2, 81 = 3 x 3 x 3 x 3, they have nothing in common, so they share a 1.
What is the conjugate of the binomial squareroot 6+4
Answer:
We solve 6 + 4
6 + 4 = 10.
Square root of 10:
Step-by-step explanation:
Are these lines perpendicular?
yes
no
Answer: yes they are perpendicular
Plxzzz plzzzzzznhelp meeee
Answer: A. An infinite number of diameters can be drawn in a circle.
Step-by-step explanation:
There can be an infinite number of lines joining radii to the center. If we are placing 2 radii end-to-ending a circle, then we would have the same length as the diameter. Thus the diameter of the circle is twice as long as the radius. So, infinitely many diameters can be formed in the circle.
I got it from Goog|e, I hope it helps.
Answer:
"Only a limited number of radii can be drawn in a circle"
Step-by-step explanation:
A circles radii is the distance between the center of a circle(It only has one) to the edge of the circle. There is only one radii in a circle. And a circle only has one diameter.
noah neck wth noah neck
Answer:
a meme
Step-by-step explanation:
Answer:
meem
Step-by-step explanation:
meet bc it is crazy and I luv it
equivalent expression for: 3(1-7)
Answer:
Multiply the number in the parantheses by 3. Then subtract them.
Step-by-step explanation:
convert 14 in base 10 into base 5
Since
14 = 10 + 4 = 2×5 + 4×1 = 2×5¹ + 4×5⁰,
we have
14₁₀ = 24₅
Please help me with the math below
plz answer!!!!!!!!!!!!!!
Answer:
7
Step-by-step explanation:
i know
Check image for question
Answer:
a. 18
Step-by-step explanation:
a= 2
b= 3
[tex]ab^{2} =(2)(3)^{2} =2(9)=18[/tex]
Hope this helps
a=2
b=3
Now
a*b=ab²2*3=2(3)²2*3=2(9)2*3=18Hayar el patrón 7103425320;_________;7103676328;7103801823
Help me I don’t know if it -7 and -12
Answer:
I think it's-12
I am not sure
Please ask to some one else please
Find the solution to each system using elimination.x - 2y = 7x−2y=7 and 2x + 5y = -42x+5y=−4
Answer: dont even know tbh
Step-by-step explanation:?
just do one if u want
Answer:
whats the question i can't really see it
Step-by-step explanation:
Write an expression that is equivalent to 2 (4x +9)
Answer:
8x/3+6 is equivalent and simplified
Maria walks 2 laps in 5 minutes and then runs 2 laps in 3 minutes. If she continues to alternate walking and running at the same paces, how many laps will she complete in 16 minutes?
Answer:
8 laps
Step-by-step explanation:
every 8mins 4 laps are run
Maria completed a total of 8 laps in 16 minutes.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Maria who walks 2 laps in 5 minutes and then runs 2 laps in 3 minutes.
Assume that she completes [x] laps in 16 minutes.
x = L[walking] + L[Running]
x = (2 + 2) + (2 + 2)
x = 8
Therefore, Maria completed a total of 8 laps in 16 minutes.
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Matilda earns 48$ in 4 hours, How many hours does it take her to earn 288$?
Answer:
24
Step-by-step explanation:
If Matilda earns $48 in 4 hours, then she must earn 48/4 (12) dollars per hour. We know she earns $12 per hour, and that she made $288, so we divide the total amount earned (288) by her hourly wage ($12) to find she worked 288/12 or 24 hours.
Matilda will earn $288 in 24 hours.
What are word problems?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given is that Matilda earns $48 in 4 hours.
Let us assume that it will take her {x} hours to earn $288.
Then, we can write -
there is earning of $48 in 4 hours.
so, there will be earning of $1 ins (4/48) or (1/12) hours.
hence, she will earn $288 in (1/12 x 288) or 24 hours.
Therefore, Matilda will earn $288 in 24 hours.
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The bird house in your friend's yard casts a shadow that is 14 feet long. Your friend is 5 feet tall and casts a shadow that is 3.5 feet long. What is the height of the bird house?
Answer:
20 ft
Step-by-step explanation:
The shadow of the bird house is 14/3.5 = 4 times the length of your friend's shadow. Consequently, we expect the height of the bird house to be 4 times the height of your friend:
4(5 ft) = 20 ft
The height of the bird house is 20 ft.
Step-by-step explanation:
that creates 2 similar triangles.
that means all angles are the same, and all side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.
so,
3.5 × f = 14
f = 14/3.5 = 4
and now the range factor applies in the relation between the heights :
5 × 4 = 20 ft
the bird house is 20 ft high.
Ethan and Alex ordered 1,263 pizzas for the school. They wanted to share them equally with each class.If there are 34 classes, how many pizzas will each class get?
combine over common denominator 2/3a + 1/3 - 4/a
the current temperature in small town is 20 degrees fahrenheit this is 6 degrees less than twice the temperature that it was 6 hours ago