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A scientist records the motion of a dolphin as it jumps from the water. The function`h\left(t\right)=-8t^{2}+32t` models the dolphin’s height in feet above the water after t seconds. Show all work and explain your answers clearly. Use complete sentences.
What is the most reasonable domain for this situation? Explain your answer.
Answers
Answer:
I don't know the answer but try using 900gle lens and scanning it on homework setting
Answer:
Range is 0 ≤ h ≤ 32
Step-by-step explanation:
The height is a function of time and is described as h(t) = -8t² + 32t
h is the y-axis and t is the x axis, so we can write this as y = -8x² + 32 x.
This describes a parabola that opens downward, since the coefficient of the square term is negative. The maximum point for height will be at the vertex of the parabola.
y = ax² + bx + c
The x coordinate of the vertex is at -b/2a
a = -8, b = 32, c = 0
-b/2a = -32/-16 = 2
Maximum height is at x = 2 seconds (we can see this on the graph)
At 2 seconds, y = -8(2²) + 32(2) = -32 + 64 = 32
Again, we can see this on the graph.
The x intercepts are the points where y = 0
0 = -8x² + 32x = 8x(-x +4)
y will be 0 when x is 0 or 4 (confirmed by graph)
So, the height (y) = 0 at time (x) = 0 sec, 4 sec
0 ≤ y ≤ 32
y = h, so 0 ≤ h ≤ 32
I hope this helps.
Related Questions
Determine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms in the sequence.
0, 10, 18, 25, 33, ...
A. yes
common difference: −9
next three terms: 24, 15, 6
B. not an arithmetic sequence
C. yes
common difference: 10
next three terms: 43, 53, 63
D. yes
common difference: 8
next three terms: 41, 49, 57
Answers
Answer:
B
Step-by-step explanation:
not an arithmetic sequence
d=18-10=8
d=25-18=7
d not equal
hope this helps
The sequence 0, 10, 18, 25, 33, ... is not an arithmetic sequence. Then the correct option is B.
What is an arithmetic sequence?In a Number-crunching Succession, the distinction between one term and the following is steady. Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The sequence is given below.
0, 10, 18, 25, 33, ...
The difference between two successive terms is given as,
⇒ 33 - 25
⇒ 8
⇒ 25 - 18
⇒ 7
The common difference is not the same.
Thus, the given sequence is not an arithmetic sequence. Then the correct option is B.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
#SPJ2
Please help asap ! Identify the value of x.
Answers
Answer:
x = 24
Step-by-step explanation:
Apply Pythagoras theorem:
[tex](Hypotnuse)^2=Base^2+Height^2\\(x+1)^2=(x)^2+(7)^2\\(x)^2+2(x)(1)+(1)^2=x^2+49\\x^2+2x+1=x^2+49\\x^2-x^2+2x+1-49=0\\0+2x+1-49=0\\2x-48=0\\2x=48\\x=48/2\\x=24[/tex]
PLEASE HELP ME!!!! What system of equations is shown on the graph below?
A. x-2y=-4 and 2x+y=4
B. x-2y=4 and 2x+y=-4
C. x-2y=-2 and 2x+y=-4
D. x-2y=2 and 2x+y=4
Answers
Straight line= y=mx+c
Orange line
c=-4
m= 4/-2 =-2
y=-2x-4
Rearranged: 2x+y=-4
Blue line
c=-2
m= 2/4 =1/2
y=1/2x-2
Multiply by 2 to get rid of fraction
-2(y=1/2x-2)
= -2y=-x+4
Rearranged:
x-2y=4
-3(x+5) - (2x+3) equals
Answers
-5x,-18
i hope im right im not quite sure bout this one
what is 5x98 (x343)=
Answers
Answer:
168,070
Step-by-step explanation:
Multiplication, 5 x 98 = 490. 490 x 343 = 168,070
The European Working Time Directive (EWTD) directs that staff should work no more than an average of 48 hours a week, over a 13-week period. You work from 9:00 - 18:45 with a 30 minutes lunch break for three days a week and from 10:30 - 21:00 two days a week with a 45 minutes break. You also work from 10:00 – 14:00 every second Sunday. Are your hours EWTD compliant?
Answers
Answer:
it is not EWTD compliant
Step-by-step explanation:
Given that :
Directive = maximum average working hours per week = 48 hours
Engagement :
9:00 - 18:45 = (9 hrs 45 mins) - 30 mins = 9hrs 15 mins
9 hrs 15 mins for 3 days = 27 hours 45 mins
10:30 - 21:00 = (10 hrs 30 mins) - 45 mins = 9 hrs 45 minutes
Sundays (10:00 - 14:00) = 4 hours
Total work hours per week :
2(9hrs 15 mins) + 3(9hrs 45 mins) + 4 hours =;
18 hrs 30 mins + 29 hrs 15 minutes + 4 hours
(18 + 29 + 4) + 45 minutes
51 hours 45 minutes.
51 hours 45 minutes > 48 hours ; a Hence, it is not EWTD compliant
Use the formula to solve the problem. Round to the nearest hundredth.
Volume of a sphere: V = 4/31tr3
Surface area of a sphere: A = 4rtr2
Find the volume of a sphere with a radius of 1 inch.
_____cubic in.
Answers
Answer:
Volume of sphere = 4.186 cubic inches
Step-by-step explanation:
Radius of sphere = r = 1 inch
Volume of sphere = ?
The formula used is: [tex]Volume\:of\:sphere=\frac{4}{3}\pi r^3[/tex]
Putting value of radius and π and finding volume:
[tex]Volume\:of\:sphere=\frac{4}{3}\pi r^3\\Volume\:of\:sphere=\frac{4}{3}\times 3.14\times (1)^3\\Volume\:of\:sphere=\frac{4}{3}\times 3.14\times (1)^3\\Volume\:of\:sphere=4.186 \:cubic\:in[/tex]
So, Volume of sphere = 4.186 cubic inches
25 ÷ (-5)
i am looking for a mathematician
Answers
Answer:
-5 actually
Step-by-step explanation:
i love MATHH
Answer:
- 5
Step-by-step explanation:
Cristina picked out a new tennis racket that was priced at $35.00. She has saved $40.00 to cover the tax. If there is an 8% tax, then how much will she pay for the tennis racket and the tax
Answers
Answer:
37.8
Step-by-step explanation:
will give brainliest
Answers
Answer:
4/3
Step-by-step explanation:
Which point in the graph is on f(x)=3x5^x
Answers
Answer:???
Step-by-step explanation:
Answer:
(1,15)
Step-by-step explanation:
CAN SOMEONE PLEAEE HELP ????!!!!!! I will mark Brianliest !!!!!!!!!!!!!!!!!!
Answers
Answer:
I don't know if I'm correct but the answer is 6.
Step-by-step explanation:
I'm not 100% correct, but you set the other two angles to add to each other then set it equal to angle QRS and i got x=6.
Your equation should be like this: 3x + 17 + 2x +21 = 10x -1
than you solve form there
I;m not sure that this is the correct answer and maybe i'm wrong, but hope this helps
Answer:
59°
Step-by-step explanation:
According to the given description, [tex] \angle QRS[/tex] is the exterior angle of [tex] \triangle PQR[/tex]
So, by exterior angle property of a triangle, we have:
[tex] m\angle QRS=m\angle RPQ+m\angle PQR\\\\
(10x - 1)\degree = (3x +17)\degree+(2x +12)\degree\\\\
(10x - 1)\degree = (3x +17+2x +12)\degree\\\\
(10x - 1)\degree = (5x +29)\degree\\\\
(10x - 1)= (5x +29)\\\\
10x - 5x = 29 + 1\\\\
5x = 30\\\\
x = \frac{30}{5}\\\\
x = 6\\\\
\because m\angle QRS = (10x - 1)\degree \\\\
\therefore m\angle QRS = (10\times 6- 1)\degree \\\\
\therefore m\angle QRS = (60- 1)\degree \\\\
\huge\orange{\boxed{\therefore m\angle QRS = 59\degree }}\\
[/tex]
Add 9¢ to $3.48. Include the dollar sign and no spaces in your answer.
Answers
Answer:$
$3.97
Step-by-step explanation:
Answer:
$3.48+9¢=$3.57
Step-by-step explanation:
i added 48 cents to 9 cents
What is the value of the function for x = 2?
Answers
Answer:
To make this easier, first draw or imagine a vertical line at x=2Find where the vertical line and the graph intersects.Draw or imagine that point
Identify the best method for solving the given
system of equations. DO NOT SOLVE. Justify your
choice using academic vocabulary.
3x + 2y = 0
x - 5y = 17
Answers
5. Which image in the collage to the right is an
example of an object not doing work?
O A. climbing a rock wall
B. a water wheel in a dry river
C. kicking a soccer ball
D. carrying a bicycle down the stairs
Answers
Answer:
B. A water wheel in a dry river
Step-by-step explanation:
Work is said to be done when a force moves a body or an object through a certain distance in the direction of the force. Thus for work to be done, force and distance are required.
i.e Work done = Force x distance
It is measured in Joules.
Also, the work done by an object could be a measured of potential energy.
So that,
Work done = potential energy = mass x gravitational force x height
Considering the collage in the question, since the water wheel is in a dry river no work is done. Water wheel is a device that functions through the flow of water body, thus causing its rotation.
The city of Atlanta is growing at a rate of 2.04% each year. The 2019 population of Atlanta is 486,290 people.
What would be the Each year would it be 1 or 365?
Answers
Answer:
1
Step-by-step explanation:
The "each year" would be represented as a 1. Using the number 365 would represent the days in a year but not the entire year as a whole. For example, if we were to apply the 2.04% population increase to the population of 486,290 then that would give us the new population for the year 2020 which is 1 year more than 2019.
Dany has a business selling bracelets for 7.50 each. She only has enough material to make 5 bracelets. If x represents the number of bracelets sold and y represents the total cost, what is the range for this situation.
Answers
Answer:
The range is [0,37.5]
Step-by-step explanation:
We start by writing the equation that links x and y
From the question;
y = 7.5x
Now, she has enough material to make 5 only
When we talk of range, we are referring to the values on the y-axis
So the lowest y value is 0
and since the highest number of bracelets is 5;
The total cost of the 5 is 7.5(5) = 37.5
So the range is [0,37.5]
Helpppppppppppppppppppppp
Answers
Answer:-4
Step-by-step explanation:
Why?
Slope=rise/run
I started at the point (0,-3) and went up to find the next point the line goes directly though which is (-1,1) you go up 4 and to the left 1 which makes it -4
Hope this Helps :D
What is the area of a circle with 22 diameter
Answers
Answer:
380.13
Step-by-step explanation:
hope this helps :D pls mark brainliest :D
need help please <33!!!
Answers
Answer:
i tink its 65
Step-by-step explanation:
2x=130
x=65
jlk = 65 degrees
A wall is 22 feet tall. A ladder is leaned against that wall. The top of the ladder touches the top of the wall and the bottom of the ladder rests on the ground 8 feet from the base of wall. What is the length of the ladder?
Answers
Answer:
23.41 feet
Step-by-step explanation:
The ladder forms a right angle triangle with the wall
Height of the wall (opposite) = 22 feet
Bottom of the ladder from the wall (adjacent) = 8 feet
What is the length of the ladder?
Length of the ladder (hypotenuse)
Using Pythagoras theorem
Hypotenuse ² = opposite ² + adjacent ²
= 22² + 8²
= 484 + 64
= 548
Hypotenuse ² = 548
Hypotenuse = √548
= 23.41 feet
The length of the ladder is 23.41 feet
Can you help me with question 4 pls
Answers
Please Help! I'll give Brainliest!
Eshaal is creating a model of a pyramid. The model created will need to be scaled up from the blueprint.
If segments DE and AB are parallel, which of the following expressions will help Eshaal determine the length of segment BC?
BC = CE
BC equals AC times CE all over CD
BC equals AC times DE all over CE
BC = AC
Answers
Answer:
See attachment
PS:
Can I have Brainliest?
The correct statement is BC equals to AC times CE all over CD.
We have, If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally. this is known as the triangle proportionality theorem.
Given, DE and AB are parallel
So, [tex]\frac{BC}{CE} =\frac{AC}{CD}[/tex]
[tex]BC = \frac{AC\times CE}{CD}[/tex]
Therefore in statement form we say that BC equals to AC times CE all over CD.
For more details on proportionality theorem follow the link:
https://brainly.com/question/2078223
Me ayudan por favor
Answers
Answer:
yo no se puerdon
Step-by-step explanation:
can someone solve -192= -6 (6x - 4) step by step?
Answers
Answer:
x= 4 2/3 OR 14/3 OR 4.6... –– 4 2/3 and 4.6... are the simplest form.
Step-by-step explanation:
Your original equation is -192 = -6 (6x - 4):
1. -192 = -6 (6x - 4)
Use distributive property and multiply: -6 x 6x = -36x and -6 x -4 = 24:
2. -192 = -36x + 24
We now move the +24 onto the other side of the equation, -192. Add 24 onto -192 and since we're moving the 24 on the left side of the equation, 24 will removed, so -24 on the right side of the equation:
3. -192 + 24 = -36x + 24 - 24
Divide both sides of the equations by -36 to get "x" by itself:
4. -168 / -36 = -36x / -36
Simplify the fraction of 24/36 by 12:
5. 4 24/36 = 4 2/3 or 14/3 or 4.6... = x
4 2/3, 14/3, 4.6... = x
Pls help me ill give brainliest
Do all 3 to get brainliest
Answers
Answer:
7. B 8. C 9. C
Step-by-step explanation:
7. y is greater than because the area above the line is shaded and since the line is dashed there it's not greater than or equal to.
8. C provides the correct y values for all of the x values.
9. The point (6, 3) produces -3 ≥ -8 which is the only one that is correct out of all the points provided.
Box method, I don’t know the missing numbers
Answers
Answer:
5) x
6) -7
7) 3
Step-by-step explanation:
if you fill in those numbers and solve, x times x = [tex]x^{2}[/tex], x times -7 = -7x, 3 times x = 3x, and -7 times 3 = -21.
I will mark brainlist and 5 stars. Help please :))
Answers
Answer:
the answer to that question is D
Answer:
its C
Step-by-step explanation:
Which is not Figurative