Answers
Answer:
the object is in the air on the time interval (0.24 sec, 6.51 sec)
Step-by-step explanation:
The object is 'in the air' for all t such that h> 0. We need to find the roots of h = -16t^2 + 108t - 25 = 0. From the graph we see that both t values are positive. Once we find them, we subtract the smaller t from the larger t, which results in the length of time the object is in the air.
Use the quadratic formula to find the roots of h(t). The coefficients of t are {-16, 108, -25}, and so the discriminant b^2 - 4ac is
108² - 4(-16)(-25) = 11664 - 1600 = 10064, whose square root is 100.32.
Then the quadratic formula x = (-b ± √[b² - 4ac)/(2a) becomes
-108 ± 100.32 108 ± 100.32
t = ---------------------- = --------------------- = 3.375 ± 3.135
2(-16) 32
or t = 6.51 or t = 0.24 (both times expressed in seconds).
So, again, the object is in the air on the time interval (0.24 sec, 6.51 sec)
Related Questions
Find the zeros of the function below, algebraically.
f(x)=(x-2)^2-64
Please show how you got answer and explain :D
Answers
Answer:
x=10 and x=-6
Step-by-step explanation:
f(x)=(x-2)²-64 (Given)
0=(x-2)²-64 (Set equation equal to 0)
64=(x-2)² (Add 64 to both sides)
±8=x-2 (Take the square root of both sides)
Because there are two possible roots, make 2 equations to find both:
8=x-2 and -8=x-2
10=x and -6=x
Can someone help with this? And if ur not gonna help don’t answer the question!
Answers
I think you selected the right answer
How much is the tree worth?
Answers
Answer:
8
Step-by-step explanation:
Deer = snow flake = 4
4 + 4 + 4 = 12
Dear - 3 = 1
Snowman = 1
Tree = 8
8 + 1 (snowman) + 8 = 17
Enter the value that belongs in the
green box.
48
y
X
42°
67
tan 48°
Answers
The value of x will be 60.33. Then the tan 48° will be 67 / 60.33.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The right-angle triangle has angles of 48°, 42°, and 90°.
Then the value of x will be
tan 42° = x / 67
x = 60.33
Then the tan 48° is given as
tan 48° = 67 / 60.33
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ1
ASAP
AND HOW DID YOU GET THE ANSWER
( WILL MARK BRIANIST)
Answers
Answer: 11/24
Convert 3/8 to 9/24
Convert 1/12 to 2/24
Add them together to get 11/24
If I did a poor job explaining I can help more in the comments.
Answer:
Hi, there the answer is 11/24
Step-by-step explanation:
9/24+2/24
9+2/24
11/24
If you didn't understand here's something you can understand I felt like I didn't understand what I wrote on the top
Find the Least Common Multiple
[tex]\frac{3}{8} +\frac{1}{12}[/tex]
[tex]\frac{9}{24} +\frac{2}{24}[/tex]
[tex]\frac{9+2}{24}[/tex]
[tex]\frac{11}{24}[/tex]
how long is the stage
Answers
l=a/w = 50/5= 10m
Is (0,0) a solution to this system?
y > = x^2 - 4
y < 2x-1
Answers
Answer:
no.b
Step-by-step explanation:
it just no bro
how do u do 7 over 4 = 35 over m in solving proportions? plz helppppppppppp
Answers
Answer:
7/4 = 35/20
Step-by-step explanation:
35 = 7 x 5 ; 20 = 4 x 5
will give brainlyist if quick
Answers
Answer:
B)
Step-by-step explanation:
slope = 1/2(rise/run)
Last weekend, Abigail collected 7 times as many trading cards as Trey. Together, they collected 40 trading cards. How many trading cards did Abigail collect?
Answers
Answer: 35 trading cards
Step-by-step explanation:
Assume the trading cards collected by Trey is x.
That means that the number of trading cards collected by Abigail is 7x.
Relevant expression is:
7x + x = 40
8x = 40
x = 40/8
x = 5 trading cards
This means that Trey collected 5 trading cards
Abigail collected 7 times that figure so Abigail collected:
= 7 * 5
= 35 trading cards
A local high adventure park has a zip line that begins 46 feet in the air. The angle of elevation of the cable is 35º. Estimate the length of
the zip line cable. Round your answer to the nearest hundredth if necessary.
Answers
Answer: [tex]80.2\ ft[/tex]
Step-by-step explanation:
Given
Zipline begins [tex]h=46\ ft[/tex] in the air
The angle of elevation is [tex]35^{\circ}[/tex]
Assume the length of the cable is l
from the figure, we can write
[tex]\Rightarrow \sin 35^{\circ}=\dfrac{46}{l}\\\\\Rightarrow l=\dfrac{46}{\sin 35^{\circ}}\\\\\Rightarrow l=80.19\approx 80.2\ ft[/tex]
Need it ASAP
It for math fast as possible
Answers
Pls help with trig ✋
Answers
Step-by-step explanation:
From Pythagorean theorem
x^2 = (10)^2 - (8)^2 = 36 or x =6
sin theta = opp/hyp = 6/10 = 3/5
cos theta = adj/hyp = 8/10 = 4/5
tan theta = opp/adj = 6/8 = 3/4
cot theta = 1/tan theta = 4/3
sec theta = 1/cos theta = 5/4
csc theta = 1/sin theta = 5/3
Mr Martinez asked all of his students to write a situation that could describe the relationship between all of the values of x and y in the table
Answers
Answer:
gsyshehejejeijsjejekwkwkwkwkwkwk
Answer:
this dude is a loser
Step-by-step explanation:
this person is a fat loser
Pls help with this it’s 3:44 AM for me, I’m in my study room trying to figure out how to solve this and I still didn’t finish My math work cuz I didn’t know howw ( due tomorrow ) and it’s getting rlly late so can u guys help me?? ty <33! please try your best! /spamming!/ ( pages 2,3,4 only )
Answers
Answer:
2. more baking powder b/c 7/8 > 1/4
3. giraffe is herbivore b/c it sleeps less, ---> 1/6 < 3/4 ----> b/c 4/24 < 18/24
4. Question: Who helps for more time at the fair and who helps for more time?
Josh helps for less time than Sarai, as 3/8 < 8/12
Step-by-step explanation:
hope this helps
Shin used a doubling and halving strategy to solve 25 times 68. Fill in the blanks in the arrays and the equations to represent her work
Answers
Answer:
[tex]25 * 68 = 1700[/tex]
Step-by-step explanation:
Given
[tex]25 * 68[/tex]
Required
Fill the array using doubling and halving
Question is incomplete, as the array is not given.
However, the solution is as follows:
[tex]25 * 68[/tex]
Double 25 and half 68
[tex]25 * 68 = 50 * 34[/tex]
Double 50 and half 34
[tex]25 * 68 = 100 * 17[/tex]
The above is now easy to solve
[tex]25 * 68 = 1700[/tex]
Which of the following relations is a function?
a
{(1, 1), (1, 2), (1, 3)}
b
{(0, 0), (0, 1), (1, 2)}
c
{(2,0), (3, 2), (5, 2)}
d
{(3, 1), (4, 1), (3, 2)}
Answers
Answer:
C is a function
Step-by-step explanation:
For every input in a relation, there should only exist one unique output. For example, in option A, the input 1 has 3 outputs which does not make it a function since they all have to be unique. Additionally, B and D aren't functions for the same reasons. Therefore, C is a function.
Question 8:
Inse
The ratio of boys to girls in the band is 3
to 5. There are 30 boys in the band.
What is the total number of students in
the band?
A.
50
B.
18
N
C. 48
D. 80
Answers
Answer:
50
Step-by-step explanation:
How do I solve these problems?
Answers
Answer:
1.) The 1ˢᵗ three term is (-32), (-7) and 18
2.) The 1ˢᵗ three term is 127, 106 and 85
Step-by-step explanation:
1.)Here,
First Term = a₁ = - 32
Common Difference = (d) = 25
Now, For 1ˢᵗ three term,
n = 1
a₁ = - 32
n = 2
aₙ = a + (n - 1)d
a₂ = (-32) + (2 - 1) × 25
a₂ = (-32) + 1 × 25
a₂ = (-32) + 25
a₂ = -7
n = 3
aₙ = a + (n - 1)d
a₃ = (-32) + (3 - 1) × 25
a₃ = (-32) + 2 × 25
a₃ = (-32) + 50
a₃ = 18
Thus, The 1ˢᵗ three term is (-32), (-7) and 18
2.)Here,
First Term = a₁ = 127
Common Difference = (d) = -21
Now, For 1ˢᵗ three term,
n = 1
a₁ = 127
n = 2
aₙ = a + (n - 1)d
a₂ = 127 + (2 - 1) × (-21)
a₂ = 127 + 1 × (-21)
a₂ = 127 - 21
a₂ = 106
n = 3
aₙ = a + (n - 1)d
a₃ = 127 + (3 - 1) × (-21)
a₃ = 127 + 2 × (-21)
a₃ = 127 - 42
a₃ = 85
Thus, The 1ˢᵗ three term is 127, 106 and 85
-TheUnknownScientist
Answer for 16 points and possibly a brainliest if correct
Answers
Answer: The answer is the 3rd option.... if not then it’s the fourth! They both seem correct!
Step-by-step explanation:
answer:
d) pick every 10th student who is listed on the student role for the school **you chose the correct answer**
step-by-step explanation:
'd' is the correct answer because it's the best way to survey the most amount of students
:)
!
Which function represents a parabola that opens downward and intersects the x-axis at (3,0) and (-4,0)?
A) f(x) = - 7(x – 3) (x + 4)
B) f(x) = -6(x + 3) (x – 4)
C) f(x) = 8 (x-3) (x+4)
D) f(x) = 2 (x+3) (x – 4)
Answers
The function C represents a parabola that opens downward and intersects the x-axis at (3,0) and (-4,0). Option C is correct.
What is a function, exactly?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
The general parabola equation is as follows: y=p (x-h)²+k or x=p(y-k)²+h, with (h,k) indicating the vertex.
The equation of the parabola is;
y=p (x-3)²+0
y=p(y-0)²+ (-4)
On combining both the equations;
f(x) = 8 (x-3) (x+4)
The function C represents a parabola that opens downward and intersects the x-axis at (3,0) and (-4,0).
Hence,option C is correct.
Learn more about the function link.
https://brainly.com/question/5245372
#SPJ2
Bertie has just had a big win at the lottery.
He spends 4/5 of his money on a large house.
He spends 3/4 of his remaining money on a luxury yacht.
He spends 2/3 of his remaining money on a trip into space.
He gives the remaining $50,000 to charity.
How much money did he win?
Answers
After spending 3/4 of his 1/5 remaining on a luxury yacht he has 1/20th of his money left
After spending 2/3 of his 1/20 on a trip to space he has 1/60th of his lottery money left.
And since 1/60th of his lottery money is $50,000
That would mean 60/60(his original lottery amount) was 3million. (3,000,000)
Item 5
How many seconds are equal to 3 minutes?
Answers
Answer:
180 seconds in 3 minutes
Step-by-step explanation:
in 3 minutes there is 180 seconds
Amy scheduled herself from 8am-1pm sunday through wednesday on wednesday she needed to release her intervals from 11am-1pm at the last minute she serviced all of the other time for which she posted what was her overall commitment adherence percentage?
Answers
Answer:
Commitment Adherence Percentage = 81.[tex]\overline{81}[/tex]%
Step-by-step explanation:
The time period Amy scheduled herself, t = 8 a.m. - 1 p.m. from Sunday through Wednesday
The period she released her interval = 11 a. m. - 1 p.m.
Commitment Adherence Percentage = Service Minutes/(Posted Minutes + Released Lockdown Minutes) × 100
Posted minutes = 5 hours/day × 60 minutes × 4 days = 1200 minutes
Serviced minute = 5 hours/day × 60 minutes × 3 days + 3 hours × 60 minutes/hour = 1,080 minutes
Released minutes = 2 hours × 60 minutes/hour = 120 minutes
Commitment Adherence Percentage = (1,080/(1,200 + 120)) × 100 = 81.[tex]\overline{81}[/tex]%
PLS HELP!! The diagram shows triangle PQR.
Answers
Answer:
I cant figure it out, sorry :(
vector question, please help
Answers
Answer:
yes.
Step-by-step explanation:
4. Marlisa has 23 seashells in her collection. She collects s more shells during a trip to the beach. Then she doubles the number of seashells in her collection by buying new shells at the souvenir shop Write an expression to find out how many seashells Marlisa has after her visit to the souvenir shop.
Answers
Answer:
(23*2)+s
Step-by-step explanation:
Answer:
2(23+s)
Yep there ya goo
Please help me it is geometry, and I need to pass.
Answers
Answer:
38.16
Step-by-step explanation:
cosine = adjacent leg / hypotenuse
34 / x = cos 27
x = 34 / cos 27 deg
x ≈ 38.16
Answer:
we have
cos 27°=base/hypotenuse
cos27°=34/x
x=34/cos27°= 38.16is your answer
Rewrite 3* = 243 as a logarithmic equation.
Answers
Answer:
log₃(243) = x
Step-by-step explanation:
3^x = 243
Rule: a^x = b -> logₐ(b) = x
log₃(243) = x
What is the approximate area of a semicircle with radius of 21 ft? Use 3.14
Answers
Answer:
692 ft^2
Step-by-step explanation:
Area of a circle = (pi)(radius)^2
Here,
Area of the circle = (3.14)(21 ft)^2 = 1385 ft^2
Area of half this circle = area of the semicircle = 1385 ft^2 / 2, or
Area of semicircle = 692 ft^2