Answer:
At time t=0.5, the stone reaches a maximum height of h= 35.
Step-by-step explanation:
A quadratic function or function of the second degree is a polynomial function defined by:
f(x)=a*x² + b*x +c
The maximums and minimums of a function are the largest (maximum) or smallest (minimum) values of a function.
The vertex of the function is a point that is part of the parabola or quadratic function that coincides with the maximum or minimum. When a> 0, the vertex of the parabola is at the bottom of it, being a minimum (that is, the parabola opens "upward"), and when a <0 the vertex is at the top , being a maximum (that is, the parable opens "downward").
h represents the value of its abscissa (value of x).
k represents the value of its ordinate (value of f (x)).
The value of h can be calculated with the formula [tex]h=-\frac{b}{2*a}[/tex]
The value of k must be obtained by substituting the value of h in the function f(x)=a*x² + b*x +c
In this case: a=-16, b=16 and c=32. As a <0 the vertex is at the top , being a maximum. So:
[tex]h=-\frac{16}{2*(-16)}=0.5[/tex]
Substituting the value of h in the function f(x)=-16*x² + 16*x +32 you get:
f(0.5)=-16*0.5² + 16*0.5 +32
f(0.5)= 35
At time t=0.5, the stone reaches a maximum height of h= 35.
Lines AB, CD, and LK intersect as shown in the diagram . Find M
the last one is the answer
The measurement of ∠ CSK = 110.2°
What is Parallel line?Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.
Given that Lines AB, CD, and LK intersects at R and S respectively,
m∠LRB = (3x - 2)° and m∠RSC = (2x - 5)
m∠LRB = m∠CSK → (Alternate exterior angles)
m∠CSK + m∠RSC = 180° → (Linear pair angles)
Therefore, m∠LRB + m∠RSC = 180°
(3x - 2)° + (2x - 5) = 180°
5x - 7 = 180°
5x = 187°
x = 37.4°
So, m∠CSK = (3x - 2)°
(3x - 2)° = 3*37.4 - 2
m∠CSK = 110.2°
Hence, The measurement of ∠ CSK = 110.2°
For more references on Parallel lines, click;
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a. I - 2y = 4
find the x and y intercepts
Answer:I=4+2y
Step-by-step explanation:
1. Add 2y to both sides
I-2y+2y=4+2y
2.Simplify
I=4+2y
Solve for x
Please Help!
Answer:
x=56
(I do not know 100% but give it a try)
Step-by-step explanation:
You need to input the vertical angles and see what the supplementary angles are and then you get your answer. 180-60=x 180-60= 120 120-40-24= 56
find the values of x and y?
Answer:
x = 20
Step-by-step explanation:
I don't see a y in the diagram.
The 3 angles x, 90 and (4x - 10) lie on the line EF and sum to 180°, so
x + 90 + 4x - 10 = 180, that is
5x + 80 = 180 ( subtract 80 from both sides )
5x = 100 ( divide both sides by 5 )
x = 20
1.6-metre tall man stands 11 m from the base of a tree. He views the top of the tree at an
angle of elevation of 58°. How tall is the tree?
Answer:
17.60mStep-by-step explanation
The set up is a right angled triangle
Given
angle of elevation = 58°
Distance of the man from the tree = adjacent = 11m
Required
Height of the tree h (Opposite)
Using the TOA identity
tan theta = opposite/adjacent
tan 58 = h/11
h = 11tan58
h = 11(1.6)
h = 17.60
Hence the tree is 17.60m tall
1 and 2 step equations algebra
What is the Variable
10= 2k + 16
your answer has to be k=3
5 - ( m - 4 ) = 2m + 3 ( m -1 )
Answer:
m=2
Step-by-step explanation:
Ashton would like to start a business that provides customers a service or advice with the help of its team of expert and skilled employees. Which two of these businesses could Ashton opt for?
Answer:
A.,B.,and C.
Step-by-step explanation:
The two businesses Ashton should choose are a beauty salon and a tutoring center.
What is service?In business, a service can differ from a product because a service is not a physical good but it represents help to the customers through the work of employees.
From the given options the only two businesses that are based on service will be;
The beauty salon - It will help customers with their hair, nails, make-up, etc.
The tutoring center - It will help customers learn new things.
Therefore, the two businesses Ashton should choose are a beauty salon and a tutoring center.
Learn more about services at:
https://brainly.com/question/12505990
true or false: is 1 and 2 adjacent angles (look at picture)
Answer:
True
Step-by-step explanation:
1 and 2 are next to each other and adjacent means next to each other.
you deposit $500 in an account that pays 5% annual interest compound continuously what is the balance after 3 years
Answer:
So I= p x r/100 x t
= 500 x 5/100 x 3
= 25 x 3
$75 interest
Balnce will be $575
What do we call a number that when we squared the result is negative?
Answer:
imaginary numbera
Step-by-step explanation:
Result of every natural number is positive and for imaginary number sqaure result positive .
please help. i’ll give brainiest
Answer:
the square root of 42 is an irrational number. the square root of 42 is.....
Step-by-step explanation:
can someone help please
I need help with A and B
Answer:
I think its a cylinder and a pyramid
What is the solution to this equation?
x+7-8
O A. x= -1
OB. x=-15
O c.x=1
O D. x=15
Answer:
A: x=-1
Step-by-step explanation:
Dont understand very well please explain
Answer:
anyway, i thikn the only possible one is 3(k)-3(6)
Step-by-step explanation:
I don’t rlly need the answer I just would like the method please
3x-7=17-5x
Answer: x=3
Step-by-step explanation:
3x-7=17-5x
-7=17-8x (subtract both sides by 3x)
-24=-8x (subtract both sides by 17)
3=x (divide both sides by -24)
Solve for a
Pls hurry
Answer:
a=(2p-3n)/12
Step-by-step explanation:
-12a=-2p+3n
Or, a= -{(-2p+3n)/12}
a=(2p-3n)/12
answer if you want to
Answer:
a
Step-by-step explanation:
It says m=50 minus the three that fell out. That's m=50-3
hii please please help i’ll give brainliest if you give a correct answer tyyyyy
PLEASE MARK BRAINLIEST!
Answer:
40%
Step-by-step explanation:
6 apples out of 15 fruits = [tex]\frac{6}{15}[/tex]
[tex]\frac{6}{15}[/tex] is equivalent to [tex]\frac{2}{5}[/tex]
[tex]\frac{2}{5}[/tex] is equivalent to 40%
So your answer is 40%
I hope this helps!
- sincerelynini
The drama club sold 209 evening show tickets for $18.50 each and some afternoon show tickets. They want to make $5,700 for the two shows. If afternoon show tickets cost $11.75 each, how many afternoon show tickets do they need to sell to reach their target amount
Answer:
156
Step-by-step explanation:
209x18.50=3866.5
5700-3866.5=1833.5
1833.5÷11.75=156.04
If anybody can answer it would be greatly appreciated! (Question is worth 20 points)
Answer:
24 divided by 4 equals 6
Step-by-step explanation:
Which expression would you use to find the number of outcomes for flipping 4 coins?
2 · 2 · 2 · 2
2(4)
2 + 2 + 2 + 2
2 + 4
Answer:
2 x 2 x 2 x 2
Step-by-step explanation: 16 outcomes
15x = -60 I don’t get how to do to
Answer:
x = -4
Step-by-step explanation:
15x = -60
move 15 over and divide 60 by it
x = -60/15
then solve
x = -4
Answer:
x=-4
Step-by-step explanation:
first let's solve 15x for 60 so solving for the valuable "x" we move all terms containing x to the left and all other terms to the right. Dividing each side by 15 so x is negative 4
Ryan was paid $75 for
working 6 1/4 hours.
How much money
did he make per hour?
A. $12.50
B. $12
C. $15
Answer:
the answer is b
Step-by-step explanation:
12:
Step-by-step explanation:
Please help me solve this question and understand it. It is urgent
Albert wrote a total of 5 pages of his essay in 2 hours. How many hours will Albert need to complete a 12 page paper?
Answer:
Step-by-step explanation:
…
Which expression equals 2??
2.2.2.2.2.2.2
O 2+2+2
2 + 2 + 2 + 2
O 2+7
O 2.7
Answer:
That doesn't make sense to me but what does O means?
Step-by-step explanation:
Well maybe its 2.2.2.2.2.2.2
Answer:
if ur rounding then its 2.2.2.2.2.2.2
Step-by-step explanation:
Evaluate -x + 8 for x = 5.
Answer:
3 is the answer
Step-by-step explanation:
-(5)+8
-5+8=3
you just change x for 5 and go from there
In this problem, you have to use substitution!
-x + 8, when x = 5
1) Substitute the value of 'x' with '5'
-x + 8
= -5 + 8
2) Reverse the expression to make it easier to solve [optional]
-5 + 8
= 8 - 5
3) Solve!
8 - 5
= 3
Your answer is 3
I hope this helps!
- sincerelynini
What is 3.016 written in words?
A Three and sixteen tenths
B Three and sixteen hundredths
C Three and sixteen thousandths
D Three and sixteen ten-thousandths