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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
if 1.5 truck loads of dirt cost $39.00, what is the cost of 1 truck load?
Answers
Answer:
= $26 ---> final answer
Step-by-step explanation:
1.5 ----------> $39
So, 1 -----------> ($39 / 1.5 ) * 1
= $26 ---> final answer
PLEASE HELP GIVING BRAINLIEST
Answers
Answer:
see explanation
Step-by-step explanation:
x and x - 20 are adjacent angles and are supplementary , thus
x + x - 20 = 180
2x - 20 = 180 ( add 20 to both sides )
2x = 200 ( divide both sides by 2 )
x = 100
x - 20 = 100 - 20 = 80
------------------------------------------------------------
11x - 2 and 75 are corresponding angles and are congruent, thus
11x - 2 = 75 ( add 2 to both sides )
11x = 77 ( divide both sides by 11 )
x = 7
11x - 2 = 11(7) - 2 = 77 - 2 = 75
I don't know how to add fractions with the different denominator help me:
1/3+1/2=
Answers
Answer:
6÷1×2+1×3
5/6
i think that is
Answer:
5/6
Step-by-step explanation:
Well you need to make their denominators same by multiplying numerator and denominators by same number like I have shown below:
[tex] \frac{1}{3} \times \frac{2}{2} + \frac{1}{2} \times \frac{3 }{3} = \frac{2}{6} + \frac{3}{6} = \frac{5}{6} [/tex]
Hope it helps
please mark me brainliest
Can somebody help me solve this?
Answers
this was wrong but i was looking at the angle x
85 POINTS Angie and Kenny play online video games. Angie buys 2 software packages and 3 months of game play. Kenny buys 1 software package and 5 months of game play. Each software package costs $40. If their total cost is $256, what is the cost of one month of game play?
Answers
Answer:12$
Step-by-step explanation:
Answer:
$15 Write down some equations that express what you know. A = 2*30 + 3x K = 1*30 + 5x A+K = 210 Substitute the expression for A in the A+K=210 expression 2*30 +3x + K = 210 Now substitute the expression for for K 2*30 + 3x + 1*30 + 5x = 210 Multiply and combine terms 60 + 3x + 30 + 5x = 210 90 + 8x = 210 Subtract 90 from both sides 8x = 120 Divide both sides by 8 x = 120/8 = 15 The cost of one month of game play is $15!!
Step-by-step explanation:
Hope this helps!!
Please mark me brainliest!!
HELPPPP !! Find the measure of angle LMN if the measure of angle LMP is 107 !!
Answers
Answer:
m∠LMN = 29°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Set up equation
m∠LMN and m∠NMP must add up to m∠LMP
(2x - 1)° + (5x + 3)° = 107°
Step 2: Solve for x
Combine like terms: 7x + 2 = 107Isolate x term: 7x = 105Isolate x: x = 15Step 3: Find m∠LMN
Define: m∠LMN = (2x - 1)°Substitute in x: m∠LMN = (2(15) - 1)°Multiply: m∠LMN = (30 - 1)°Subtract: m∠LMN = 29°what is the sequence of 9, 6, 4, 8/3
Answers
Answer:
2/3
Step-by-step explanation:
9*2/3=6
6*2/3=4
4*2/3=8/3
what is this simplified?
Answers
Answer:
35/48
Step-by-step explanation:
35/48
Answer:
35/48
Step-by-step explanation:
It is already in it's simplest form.
The rental car holds 25 gallons of gas and gets 18 miles per gallon. The trip to Yarrow City is 1350 miles. How many times will the car need to be filled up to make the trip?
Answers
Answer:
3 times
Step-by-step explanation:
25 gallons of gas can get you 450 miles and 1350 divided by 450 is 3.
what is the next step in solving this equation?
13-2(5x+1)=2-4x+3
13-10x -2=2-4x+3
11-10x=5-4x
answer choices
A. Subtract 5 from the left side
B. Add 10x to both sides
C. Subtract 11 from the right side
D. Subtract 4x from both sides
Answers
Answer:
B.
Step-by-step explanation:
remember, solving this means to get the variable alone on one side (it does not matter which side), and everything else on the other side.
but whatever changes we do (except for just completing local operations that were already there), we always have to do them to both sides to keep the equality alive. if we introduce a change of quantity on one side only, we break the equality, and we will not get a valid result anymore.
A. subtract 5 from the left side : no, it changes only the left side. the equality is broken.
B. add 10x to both sides. yes, it applies the change to both sides and will bring all terms of x to one side. perfect.
C. subtract 11 from the right side. no, it changes only the right side. the equality is broken.
D. subtract 4x from both sides. no. it does change both sides and keeps the equality, true, but it does not help us in solving the equation. it still keeps a mixture of x terms and constant terms on both sides. nothing changes in the structure.
ASAP PLEASE HELP ME
Answers
Answer:
108
Step-by-step explanation:
All you need to do in area is just multiply them together. If that was what you were looking for. Or 6x8=48
10x4=40
5x4=20
48+40+20=108 for a different way.
Answer:
108
Step-by-step explanation:
6x8=48
10x4=40
5x4=20
48+40+20=108
42-2x=5x
what’s x in this equation
Answers
Answer:
x=6
Step-by-step explanation:
2x+5x=7x 42/7=6
Answer:6
Step-by-step explanation:42-2x=5x
you have to get add two x to both sides to get 42=7x then divide by 7
42/7=6
7/7=x
so 6=x
hope that helps
What is the slope of the line that passes through the points (4, 6) and (-16,18)?
Answers
Answer: slope = -3/5
Answer:
-3/5
Step-by-step explanation:
18-6 = 12
-16-4 = -20
12 / -20
Simplify down to -3 / 5
Write the mixed number 5 2/25 as a percent.
Answers
Answer:
I'm assuming it's like this : 5*2/25 which will be 0.4, which is 40%
The coffee shop has the following menu prices.
Size Price
6 oz $2.10
8 oz $2.72
16 oz $4.80
20 oz $6.40
Which coffee purchase is the best financially responsible decision?
A.
16 oz coffee
B.
6 oz coffee
C.
20 oz coffee
D.
8 oz coffee
Answers
6 oz is 0.35 per ounce
8 oz is 0.34 per ounce
16 oz is 0.30 per ounce
20 oz is 0.32 per ounce
Given functions, f(x)=2x-1, g(x)=-x^2+2x, and h(x)=– 2x/5 determine value of the function for:
a) f(-5) =
b) g(-3) =
c) h(20) =
d) g(1) =
e) f(-3/4)
f) h(4/5)
Answers
b=3
c= -8
d=3
e=-.5
f= -.32
QUICK HELP I NEED TO ANSWER THIS QUESTION
WHO ASKED???
Answers
Answer:
Lol
Step-by-step explanation:
Using a, h, and k, describe all the specific transformations to go from
the parent function f(x)=x2 to the following quadratic:
f(x) = -1/2(x+5)^2-4
Answers
Answer the question in photo [ Brainliest + easy points ]
Answers
Answer:
41
Step-by-step explanation:
6x - 13 = 5x - 4
Add 13 to both sides. Subtract 5x from both sides.
x = 9
JL = 6x -13
6*9 - 13
54 -13
41
JL = 41
Brainliest :0!?
3 for $100.50
or
5 for $150.50
Part A: Does the information on the sign represent a proportional relationship?
yes or no question
Answers
The management of Asteria Inc. is studying the financial reports and statements of the company for the current accounting period. Which accounting head is a part of an off-balance-sheet item?
Answers
Answer:
What are the answers again??
Step-by-step explanation:
Tell whether the following function is linear. If so; graph the function: 2x + 3y = 5.
Answers
PLEASE HELP URGENT will mark brainliest
Answers
Answer:
The answer is "none"
Step-by-step explanation:
......
Explanation: The two equations have the same slope with different y-intercepts, so they're parallel meaning they never touch so there is no solutions. So the answer is C or none.
You buy 3. 18 pounds of oranges 1. 35 pounds of grapes and 1. 72 pounds of apples what is your total bill
Answers
Answer:
5
Step-by-step explanation:
Oranges: 3.46 $
Grapes: 1.36 $
Apple: They didn't leave you with the cost of the apple so I don't know
Add 3.46 plus 1.36 and you get 4.82. Then round that to 5.00.
Brainlist maybe? :)
Arrange the numbers from greatest to least: top would be the greatest and bottom would be the least. 1830/2 920.0 9.1 x 10 (with square 2) 918%
Answers
The arrangement order of the numbers from greatest to least is 920.0, 1830/2, 9.1 × 10², 918%.
A number is a mathematical entity that may be used to count, measure, and name things. The natural numbers 1, 2, 3, 4, and so on are the original instances. Number words can be used to represent numbers in language.To simplify or simplification in mathematics means to reduce an expression, fraction, or problem to a simpler version. It simplifies the problem's computation and solution.Let's simplify the numbers.9.1 × 10² = 9.1 × 100 = 910918% = 918 ÷ 100 = 9.181830 ÷ 2 = 915920.0 = 920Now arrangeGreatest to least920 , 915 , 910 , 9.18Bring them back to their original form:920.0, 1830/2, 9.1 × 10², 918%To learn more about numbers, visit :
https://brainly.com/question/17429689
#SPJ4
PLEASEEEEE HELPPPPP !!!!!!!!!!! I will mark Brianliesttttt !!!!!!!!!!!!!!!
Answers
Answer:
D. m<RST = 2(m<TSU)
Step-by-step explanation:
Given that m<RST = 76°, m<RSU = 48°, and m<TSU = 38°, this implies that:
SU is an angle bisector of angle RST. Thus,
m<RST is twice the measure of <RSU or <TSU.
Therefore, the only option that is correct is:
D. m<RST = 2(m<TSU)
Cookware companies have been using a chemical called C-8, which helps to create a nonstick coating to pans. However, the Environmental Protection Agency (EPA) recently claimed that the use of C-8 in the manufacturing of nonstick cookware should be discontinued because studies show it causes cancer.
Who might benefit financially the most from the EPA’s claim?
restaurants that use C-8-coated cookware
cookware manufacturers who make pans out of steel only
stores that sell C-8 nonstick cookware
individuals who use steel cookware at home
Answers
Answer:
cookware manufactures who make pans out of steel only
Step-by-step explanation:
88= 2(4b+6) - 4
please help not a test
Answers
88=8b+12-4
88=8b+8
-8 -8
80=8b
80/8=10b
Answer:
j
Step-by-step explanation:
Simplify 9p²-3p²+2p²
Answers
Answer:
8p²
Step-by-step explanation:
9p²-3p²+2p²
Combine like terms.
9p²-3p²+2p² = 8p²
Hope this helps!
Please mark as brainliest if correct!
2 + 2 = ?
5 + 5 = ?
4 + 2 = ?
Answers
10
6
Hope this helps?