For the vertical motion model h(t) = -16t2 + 54t + 3, identify the maximum height reached by an object and the amount of time the object is in the air before it hits the ground. Round to the nearest tenth.
Answers
Answer:
height: 48.6 fttime in air: 3.4 sStep-by-step explanation:
A graphing calculator provides a nice answer for these questions. It shows the maximum height is 48.6 feet, and the time in air is 3.4 seconds.
__
The equation can be rewritten to vertex form to find the maximum height.
h(t) = -16(t^2 -54/16t) +3 . . . . . group t-terms
h(t) = -16(t^2 -54/16t +(27/16)^2) + 3 + 27^2/16
h(t) = -16(t -27/16)^2 +48 9/16
The maximum height is 48 9/16 feet, about 48.6 feet.
__
The air time is found at the value of t that makes h(t) = 0.
0 = -16(t -27/16)^2 +48 9/16
(-48 9/16)/(-16) = (t -27/16)^2 . . . . . . . subtract 48 9/16 and divide by -16
(√777 +27)/16 = t ≈ 3.4297 . . . . . square root and add 27/16
The time in air is about 3.4 seconds.
Related Questions
PLS HELP ME FIND MEASURE AED
Answers
Answer:
C=D=58
B=A=35
AEC=BED=180-(58+35)
=87
AED=BEC=(360-174)/2
=93
AED=93
x=a+b+4 and a is inversely proportional to y²; b is inverseley propotional to 1/y. when y = 2 x = 18 and when y = 1 x = -3. find x when y = 4
Answers
Answer:
When y = 4, x is equal to 39
Step-by-step explanation:
The given parameters are;
x = a + b + 4
a ∝ 1/y²
b ∝ 1/(1/y) = y
When y = 2, x = 18
When y = 1, x = -3
Therefore, we have;
a·y² = j
a = j/y²
b ∝ 1/(1/y)
∴ b ∝ y
b = k·y
When y = 2, x = 18, we have;
a = j/y² = j/2² = j/4
b = k·y = k·2
x = a + b + 4
∴ 18 = j/4 + k·2 + 4...(1)
When y = 1, x = -3, we have;
a = j/y² = j/1² = j
b = k·y = k·1 = k
x = a + b + 4
∴ -3 = j + k + 4...(2)
Making 'j', the subject of equation (1) and (2) gives;
From equation (1), we have;
18 = j/4 + k·2 + 4
∴ j = (18 - 4 - k·2) × 4 = 56 - 8·k
From equation (2), we have;
-3 = j + k + 4
∴ j = -3 - 4 - k = -7 - k
Equating the two values of 'j', gives;
56 - 8·k = -7 - k
56 + 7 = 8·k - k
63 = 7·k
k = 63/7 = 9
k = 9
From equation (2), we get;
-3 = j + k + 4
k = 9
∴ -3 = j + 9 + 4
j = -3 - 9 - 4 = -16
j = -16
When y = 4, we get;
x = a + b + 4
a = j/y²
b = k·y
∴ x = j/y² + k·y + 4
Plugging in the values of 'j', and 'k' and y = 4, gives;
x = (-16)/y² + 9·y + 4
∴ x = (-16)/4² + 9 × 4 + 4 = 39
x = 39
Therefore;
When y = 4, x = 39.
Write the function rule for this table
Answers
Answer:
f(x) = 1/2x + 2
Step-by-step explanation:
...........
What is the equation of the line that passes through the point (-3,2) and has an
undefined slope?
Answers
Hope this helps :)
find the measure of all of the angles on the diagram
Answers
Answer:
Angle 1: 135*
Angle 2: 45*
Angle 3: 45*
Angle 4: 135*
Angle 5: 135*
Angle 6: 45*
Angle 7: 45*
Angle 8: 135*
Step-by-step explanation:
So we have angle 2, 45*, we can subtract 45 from 180 to get the angle for 1. Since everything is the same size as either 1 or 2 we can just plug in the bigger angle number we have for it, ex 4= 135 and so is 7.
If you don't understand something please don't hesitate to ask.
Answer:
Step-by-step explanation:
∠2 = 45
∠3 = ∠2 {Vertically opposite angles}
∠3 = 45
∠7 = ∠3 {Corresponding angles}
∠7 = ∠45
∠6 = ∠7 {Vertically opposite angles}
∠6 = 45
∠1 + ∠2 = 180 {Linear pair}
∠1 + 45 = 180
∠1 = 180 -45
∠1 = 135
∠4 =∠1 {Vertically opposite angles}
∠4 = 135
∠8 = ∠4 {Corresponding angles}
∠8 = 145
∠5 = ∠4 {Alternate interior angles}
∠5 = 145
HELP!!!! If a scale of 2 in:10 ft is used, how long is an object that is 14 in. long
in a drawing?
Answers
explanation: 14/2=7 7x10=70
what ratios is equivalent to 6/7
Answers
Answer:
6:7
12:14
24:28
Step-by-step explanation:
The beginner ratio is 6:7 to find new equal ratios we just multiply both numbers by a number. In those, each of them is multiplied by two. You can multiply it by any number as long as you keep the 6's answer in the 6's spot and same for 7 & that you multiply both sides and not just one.
I ned to no what es 5 + 6 for my kindergardin
Answers
Answer:
11
Step-by-step explanation:
5+6=11
Have a great day!!!
UHHHHH IM GONNA FAIL MATH YALL
Just answer it ig-?
I WILL MARK AS BRAINLIEST
Answers
Answer:
30.96 m^2
Step-by-step explanation:
Side length of the square is also the diameter of the semicircle so:
r = 0.5 * 12 m = 6 m
Since you want the area of the shaded area, you have to subtract the area of both semi circles from the area of the square:
Square Area - Semi Circle Area - Semi Circle Area = Shaded Region Area
(12 m * 12 m) - (0.5 * 3.14 * 6^2 m) - (0.5 * 3.14 * 6^2 m)
= 144 - 56.52 - 56.52
= 30.96 m^2
Express as a trinomial.
(x-3)(3x+6)
Answers
Answer:
3x^2 - 3x + 18
Step-by-step explanation:
x*3x=3x^2
(x*6)+(-3*3x)=-3x
-3*6=-18
Seven less than a number is 18
Answers
+7 to both side
X=25
Let the number be n.
Now, "seven less than a number" means we subtract 7:-
n-7
This expression is equal to 18:-
[tex]\sf{n-7=18}[/tex]
[tex]\mathcal{SOLUTION:-}[/tex]
Add 7 to both sides:-[tex]\bigstar{\boxed{\pmb{n=25}}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Will give brainiest to correct answer
40x + 45
Answers
Answer:
x= 1.125
Step-by-step explanation:
first we want to get the variable by itself so divide
just divide 45 by 40
help me out with this question (geometry)
Answers
Answer: It should be 24 because Ray SP is an angle bisector
Step-by-step explanation:
Andrew and Sebastian are training for a weightlifting competition. In order to prepare, each of them has created their own personal training plan as follows:
• Andrew will start off by lifting 50 pounds and will increase the weight he lifts by 10% each week.
• Sebastian will start off by lifting 40 pounds and will increase the weight he lifts by 10 pounds each week.
Which of the following statements are true?
OOOOO
Andrew and Sebastian both increase the weight they lift each week by the same amount
Andrew's training plan can be modeled by a linear function, and Sebastian's training plan can be modeled by an exponential function.
Andrew's training plan can be modeled by an exponential function, and Sebastian's training plan can be modeled by a linear function.
Andrew increases the weight he lifts each week by equal factors, and Sebastian increases the weight he lifts each week by equal differences
Andrew increases the weight he lifts each week by equal differences, and Sebastian increases the weight he lifts each week by equal factors
Answers
Answer: LOLL PLS NOT US BOTH BEING AT OCPS CHEATIN
Step-by-step explanation:
which two graphs pass through the point (3, 7)
Answers
Answer:
kissssssssssssssssssseeeeesssssssses
Hope this helps!!!
Identify the percent of change as an increase or a decrease: 1/3 to 2/3
Answers
Answer:
100% increase
Step-by-step explanation:
help help help help help help help help
Answers
Help me with this please! Will mark Brainliest!!
Answers
Answer:
1
Step-by-step explanation:
5+1=6
What is the measure of angle D?
A. 75°
B. 80°
C. 95°
D. 110°
Answers
Answer:
110%
Explanation:
Determine if the triangles are similar. If yes, write a similarity statement and give the scale factor. if NO explain why the triangles are not similar.
Answers
they both have right triangles with a 90 degree angle
the_______ coordinate located at the highest or lowest point on a parobla
Answers
Answer:
Vertex
Step-by-step explanation:
Lewis checked the balance of his savings
account every month for 4 months. The
balances were $300, $410, $520, and
$630. Would a linear or exponential
function better represent the data?
Explain.
Answers
Answer:
Linear
Step-by-step explanation:
The balances each go up by $110
300 + 110 = 410
410 + 110 = 520
520 + 110 = 630
How does the denominator of the sum, 1 5/12, compare to the denominators of the addends, 2/3 and 3/4?
Answers
Answer:
There denominators are same, ie = 12
Step-by-step explanation:
Sum , 1 + 5/12 = (12 + 5) / 12
= 17 / 12
Sum , 2/3 + 3/4 = (8 + 9) / 12
= 17 / 12
5 4/5 +4 3/8 = what ??///
Answers
Answer:
10 7/40
Step-by-step explanation:
5 4/5 + 4 3/8
4/5 = 32/40
3/8 = 15/40
5 32/40 + 4 15/40 = 9 47/40 = 9 + 1 7/40 = 10 7/40
Answer:
6 7/40
Step-by-step explanation:
That’s the answer and I’m sure cuz I did the math, also have a good night!
For problem 5, use the ordered pairs to answer the following
question. SHOW YOUR WORK FOR FINDING SLOPE.
Answers
Answer:
no
Step-by-step explanation:
Because the lines are parallel
hello help please i’ll mark brainliest!!! thankss
Answers
Answer:
Milky way galaxy
Step-by-step explanation:
Mark me branliest please<3
a line passes through the point (-4 , -5) and has a slope of -5/4. Write an equation in slope - intercept form of this line
Answers
Answer:
y=-5/4x-10
Step-by-step explanation:
(✿◡‿◡) <-- she wants Brainliest
If the function
s
(
x
)
represents a transformation of the graph that shifts the vertex of the graph to
(
−
7
,
−
1
)
, which function represents
s
(
x
)
Answers
Answer:
..................
Step-by-step explanation:
...jdjdjejsjesjdjdjwjowjddhdjjfjhrueurjrhbffb
The Washington Monument is an obelisk with a square pyramid top. The slant height of the pyramid is 55.5 feet, and the square base has sides of 34.5 feet. Find the surface area of the pyramid.
Answers
it’d be cool if you could answer at least one of these with work please.
Answers
Answer:
11: 416
Step-by-step explanation:
so the area of the rectangle is 20*16 and you add the triangle's area which is 96. 320+96=416. I am pretty sure that is the answer. ( Sorry if my drawing is bad) :D