Answer:
50%
hope this answer helps you!
plz hurry!! A person standing close to the edge on top of a 108-foot building throws a ball vertically upward. The quadratic function h ( t ) = − 16 t 2 + 132 t + 108 h ( t ) = - 16 t 2 + 132 t + 108 models the ball's height above the ground, h ( t ) h ( t ) , in feet, t t seconds after it was thrown. a) What is the maximum height of the ball?
Answer:
The maximum height of the ball is 380.25 feet in the air.
Step-by-step explanation:
The quadratic function:
[tex]h(t)=-16t^2+132t+108[/tex]
Models the ball's height h(t), in feet, above the ground t seconds after it was thrown.
We want to determine the maximum height of the ball.
Note that this is a quadratic function. Therefore, the maximum or minimum value will always occur at its vertex point.
Since our leading coefficient is leading, we have a maximum point. So to find the maximum height, we will find the vertex. The vertex of a quadratic equation is given by:
[tex]\displaystyle \left(-\frac{b}{2a},f\left(\frac{b}{2a}\right)\right)[/tex]
In this case, a = -16, b = 132, and c = 108. Find the t-coordinate of the vertex:
[tex]\displaystyle t=-\frac{132}{2(-16)}=-\frac{132}{-32}=\frac{33}{8}=4.125[/tex]
So, the maximum height occurs after 4.125 seconds of the ball being thrown.
To find the maximum height, substitute this value back into the equation. Thus:
[tex]h(4.125)=-16(4.125)^2+132(4.125)+108=380.25\text{ feet}[/tex]
The maximum height of the ball is 380.25 feet in the air.
can someone help me with this
Answer:
13
Step-by-step explanation:
To solve the problem, you have to do A squared + B squared = C squared. So for your A and B it doesn't matter what order you put them in. We will do 12 sqaured + 5 squared = C squared. 12 squared is 144 and 5 squared is 25. By adding 144 and 25 together, it gives us 169. When we take the square root of 169, we get 13. 13 is the length of the hypotenuse.
HERE for help me one more
Answer:
Im pretty sure its D.
Step-by-step explanation:
I think it would be option D. Is it considered the subsoil layer
The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below.
C(x) = 3x^2- 600x + 43,500
a. Find the number of bicycles that must be manufactured to minimize the cost.
b. Find the minimum cost.
Answer:
Minimum 100 bicyclesMinimum cost is 13500Step-by-step explanation:
Given function:
C(x) = 3x^2- 600x + 43500a.
Minimum cost is obtained at vertex.
Vertex is determined by formula x = -b/2a, in standard form of
f(x) = ax^2 + bx + c
Vertex of the given function is:
x = -(-600)/(2*3) = 100b.
Cost at vertex is:
C(100) = 3*100^2 - 600*100 + 43500 = 13500Three side lengths of a right triangle are given. Does it matter where you substitute the lengths in the Pythagorean Theorem? Explain.
I am confused on this, I would LOVEE some help please!
Answer:
2nd and 5th one are correct. Rest of them r wrong
Step-by-step explanation:
What is the product (3x10^9) x (2x10^17) in scientific notation
Answer:
6·10^26
Step-by-step explanation:
Multiply together the coefficients 3 and 2, obtaining 6. We must also multiply together the powers of 10; we do this by ADDING the exponents 9 and 17, to get the final answer
6·10^26
Answer:
6•10^26 is the answer.
Is this expression equivalent 20 divided by 5 and 5 divided by 20
Answer:
no. if you do 5 divided by 20 your answer will be negative
Step-by-step explanation:
Which equation shows y = (x − 4) 2 − 3 written in standard form?
Answer:
2x-y=11 is the standard form
Step-by-step explanation:
A box contains 4 pair of sunglasses. How many outcomes are in the sample space for pulling out a single pair, not returning it, then drawing out a second set of glasses.
a. 8
b. 12
c. 6
d. 9
Answer:
B.12
Step-by-step explanation:
For your first draw you have 4 possible options, then on your second draw you have 3 possible options since you took out a pair. So to figure out the number of possible outcomes you simply multiply the possibilities by each other to get the number of possible outcomes.
Solve for x.round to the nearest tenth. 70,6
Answer:
16.5
Step-by-step explanation:
Tan70°=x/6
x=6tan70°
=16.5
Solve the equation. 6x−7=2x+13
Answer:
6x - 7 = 2x + 13
6x - 2x = 13 + 7
4x = 20
x = 20/4
x = 5
Hope it helps!
Which expression is equivalent to 0.06h +h+0.85h?
Answer:
1.91h
Step-by-step explanation:
0.06h+h+0.85h
1.91h
Answer:
The first one asdfghjkfruyctdf
Step-by-step explanation:
PLEASE HELPPPPPP me NOW IF U KNOW THE RIGHT ANSWER OMGGG
9514 1404 393
Answer:
68°
Step-by-step explanation:
Chords of the same length subtend arcs of the same measure.
Chord EF = Chord FG . . . . given
Arc EF = Arc FG = 68°
Aarav and Bahir are running laps around a 400-meter circular track. They started together and ran in the same direction. Each of them is running at a constant rate. When Aarav completed the first lap, Bahir was already 100 meters ahead of him. How many laps will Aarav complete by the time Bahir reaches him from behind on the track?
Answer:
4
Step-by-step explanation:
for every 400 meters aarav runs bahir runs 500
when bahir is at 2000 aarav is at 1600
The perimeter of one square is given as 4x. Its perimeter is equal to the perimeter of a rectangle given as 2.5x + 3.75. Write an equation to determine the perimeter of each figure
Answer:
5
Step-by-step explanation:
it would be 5. x is 5 so if it is wrong sorry its best e a while since i done that kind of math
Uma professora de artes pediu aos alunos para montarem mosaicos unindo peças. Nesse mosaico, essas peças deveriam ficar sempre ligadas pelos vértices, não poderiam se sobrepor e não deveria sobrar espaço entre elas. Além disso, para fazer esse mosaico, essa professora solicitou que todos os alunos utilizassem octógonos regulares, como o que está apresentado abaixo.
M100839H6_1
Para compor esse mosaico, junto com esses octógonos, os alunos tinham à sua disposição as peças do quadro abaixo.
M100839H6_2
Quais dessas peças os alunos poderiam escolher para compor esse mosaico?
I e III.
I, III e IV.
I e IV.
II, III e IV.
III e IV.
Answer:
coloquei a letra d- II, III e IV
Step-by-step explanation:
Answer:
é a letra D (II, III e IV)
Step-by-step explanation:
se você reparar no ângulo interno da figura do octógono está mostrando 135º e a primeira figura que no caso não encaixa mostra 60º, fazendo essa soma daria um total de 195º, o que passa de 180º que é a metade de uma circunferência, então não daria certo, ficaria uma parte sobrando, não se encaixando no mosaico.
Given that the diameter of a circle is 5 mm, find the radius of the circle.
Answer:
r=2.5mm
Step-by-step explanation:
Using the formula
[tex]\huge\underline{ \sf \: Formulae \: to \: remember \: for \: solving \: the \: question:}[/tex]
[tex] \\{ \sf radius \: of \: a \: circle = \frac{d}{2} where \: d \: is \: the \: diameter \: of \: the \: circle}[/tex]
[tex]\huge\underline{\sf Given:}[/tex]
[tex] \ \: { \sf The \: diameter \: of \: a \: circle \: is \: 5 mm.}[/tex]
[tex]\huge\underline{\sf To \: find \: out:}[/tex]
[tex] \ { \sf Radius \: of \: the \: circle}[/tex]
[tex]\huge\underline{\sf Solution:}[/tex]
[tex] \\{ \sf The \: diameter \: of \: the \: circle \: is \: 5 \: mm.}[/tex]
[tex] \\{ \sf Therefore \: radius \: of \: the \: circle}[/tex]
[tex]\\{ \sf = \frac{5}{2} \: mm} [/tex]
[tex] \\{ \sf = 2.5 \: mm}[/tex]
[tex]\huge\underline{\sf Answer:}[/tex]
[tex]\\{\sf The \: radius \: of \: the \: circle \: is \: 2.5 \: mm.}[/tex]
A sphere has a volume of approximately 24,416.64 cubic inches (using 3.14 for ).
The diameter of the sphere is ___ inches.
Answer:
diameter = 36 in.
Step-by-step explanation:
V = 4π r^3/3
24416.64 = (4(3.14) r^3)/3
73249.92 = 12.56 r^3
r^3 = 5832
r = cube root of 5832 = 18
diameter = 36 in.
A florist measures the lengths of roses the lengths in inches of a dozen roses are given below
Answer:13.5
Step-by-step explanation:
According to Thomson Financial, last year the majority of companies reporting profits had beaten estimates. A sample of 162 companies showed that 98 beat estimates, 29 matched estimates, and 35 fell short. (a) What is the point estimate of the proportion that fell short of estimates
If required, round your answer to four decimal places. pshort = (b) Determine the margin of error and provide a 95% confidence interval for the proportion that beat estimates. If required, round your answer to four decimal places. ME = (c) How large a sample is needed if the desired margin of error is 0.05?
Need the answer real quick
Answer:
1. x+y=20,000
2. 105x+75y=$1,740,000
Step-by-step explanation:
let x be the stage level seats and y be the higher level seats.
Sum of 23 and y please help
Answer:
I think it’s -5
PLEASEEEE HELPPPPP ME !! :)
Answer:
ok ok, i think it's the last one
Step-by-step explanation:
Angles in triangles
Question is in the photo
Answer:
JSJXJX
Step-by-step explanation:
CF<DC<DE<DF<FE
A. 34
B. 55
C. 65
D. 145
Can someone please help me with math.
Answer:
21.c
22.b
23.c
Step-by-step explanation:
You wash 12 cars on Friday and 10 cars on Saturday for our fund-raiser you were also given a $40 donation from somebody who didn't want a car wash if you raised a total of $370 how much money did you earn per car wash
Answer:
$15
Step-by-step explanation:
370-40=330
12+10=22
330÷22=15
15*22=330
Can someone pls helpppp ASAP this is due in 25 min :(
For the right triangles below, find the values of the side lengths d and a.
Round your answers to the nearest tenth.
Answer:
a = 1.4 and d = 6.9
Step-by-step explanation:
To get the value of d and a, we will use the SOH CAH TOA identity
For the first tringle;
Opposite = d ((opposite angle 60 degrees)
Adjacent = 4
Tan theta = opp/adj
Tan 60 = d/4
d = 4tan60
d = 4(1.732)
d = 6.9
For the second triangle;
Opposite = a
Hypotenuse = 2
Since sin theta = opp/hyp
Sin45 = a/2
a = 2sin45
a = 2(0.7071)
a = 1.4
Hence a = 1.4 and d = 6.9
if S is midpoint of GA, then?
[tex]s \: = \: \frac{g + a}{2} [/tex]