Answers
Answer:
0.75s , 15ft
Step-by-step explanation:
Use Derivatives,
Notice that the above function is a quadratic curve, meaning it has either a maximum or minimum point, which is the turning point and that is what we are solving for to find a 'max' or 'min'.
[tex]\frac{d}{dt}[/tex]h = [tex]\frac{d}{dt}[/tex](-16t² + 24t + 6)
[tex]\frac{dh}{dt}[/tex] = -32t + 24
At turning points (max/min),
the gradient is 0 meaning,
[tex]\frac{dh}{dt}[/tex] = -32t + 24 = 0.
t = 24/32 = 3/4
so time = 0.75 second
Substitute this t into the function,
we get h = -16 * 0.75 *0.75 + 24 * 0.75 + 6 = 15ft
Related Questions
The acceleration of an object falling through the air will decrease at a rate of 15% per second due
to air resistance. If the initial acceleration due to gravity is 9.8 meters per second per second, what is the best equation that models the acceleration t seconds after the object begins falling?
Answers
Answer:
[tex]a=9.8(0.85)x^{t}[/tex]
Can you give me brainllest please and thank you
Racer's average driving speed
for a 4-hour trip was 45 miles per
hour. During the first three hours he
drove 40 miles per hour. What was his
average speed for the last hour of his
trip?
A 70 miles per hour
B. 60 miles per hour
C. 50 miles per hour
D. 65 miles per hour
Answers
Answer:
the answer is C.
Step-by-step explanation:
(50+40)/2=45
Answer:
so to average 45mph for 4 hours, he had to drive 4x45 miles total
4x45= 180miles
now we know he drove 120 miles (3x40) in the first 3 hours.
so he drove 180-120= 60 miles in the last hour.
60mph
Help with these questions, it’s Trigonometry Right Triangles
Answers
Answer:
(5). [tex]\theta=36.86^{\circ}[/tex] (6) H = 25 units
Step-by-step explanation:
Given that,
Height of triangle, H = 15
Base, B = 20
(5)
We need to find the value of tanA.
[tex]\tan A=\dfrac{P}{B}\\\\\tan A=\dfrac{15}{20}\\\\A=\tan^{-1}(\dfrac{15}{20})\\\\A=36.86^{\circ}[/tex]
(6)
For a right angled triangle, Pythagoras theorem will be applicable as follows :
[tex]H^2=B^2+h^2\\\\H^2=20^2+15^2\\\\H=\sqrt{20^{2}+15^{2}}\\\\H=25\ \text{units}[/tex]
Hence, this is the required solution.
One base angle of an isosceles triangle is (3x+2) degrees. If the non-base angle is 44
degrees, what is the value of x?
Answers
Answer:
x=22
Step-by-step explanation:
pls mark brainliest
have a nice day!
A chef cooked 4 kilograms of mashed potatoes for a dinner party. If the guests only ate
ate 1/6
of the amount he cooked, how much did they eat?
Answers
Answer:
0 4/6
Step-by-step explanation:
A motorist completes a journey in 45 minutes covering a distance of 75km at what speed did he travel
Answers
Answer:
100KM PER HOUR
Step-by-step explanation:
Have a nice day
Answer:
He traveled at a speed of 1.6 miles per minute
Step-by-step explanation:
75/45=1.6
John bought 27.5 m of cloth. How many centimetres of cloth did he buy ?
Answers
Answer:
2750
Step-by-step explanation:
It is 2750 because there is 100cm in 1m, which means if you do 27.5 times 100 you will then get the answer of 2750.
does 10,15,18 form an acute triangle
Answers
Step-by-step explanation:
Yeah, 10°+15°+18°=43°
Also, they individually are less than 90° so yes
what is the area of this triangle?
Answers
Answer:
48
Step-by-step explanation:
Area of a triangle is 1/2(base*height)
Plug in:
1/2(6*16)
1/2(96)
48
Answer: 1,600 cm
~ i really hope that this is correct, have a gr8 day my friend!~
Step-by-step explanation:
HELP? PLZ? I NEED IT 25 POINITS
Answers
Simplify the sum. (8u^3+8u^2+6)+(4u^3-6u+3)
Answers
Answer:
[tex]\boxed{12u^3+8u^2-6u+9}[/tex]
Step-by-step explanation:
[tex](8u^3+8u^2+6)+(4u^3-6u+3) = 8u^3+8u^2+6+4u^3-6u+3[/tex]
Once
[tex]8x+4x = 12x, \text{ as } x = u^3[/tex]
[tex]8u^3+8u^2+6+4u^3-6u+3 = 12u^3+8u^2+6-6u+3 = \boxed{12u^3+8u^2-6u+9}[/tex]
You don't need to factor.
the sum of half a number, n, and 15 is 24. what is the vaule of the number n
Answers
Answer:
n = 18
Step-by-step explanation:
n/2 + 15 = 24
n/2 = 9
n = 18
Price of one CD after February discount $
Price of one CD after March markdown $
After both discounts were taken separately
60% off the regular price?
Explain why the application of two separ
discount of 60%
Answers
Answer:
vssguudgebseisiehjejsieheusssushsbddjdhfbbfjfjfnfnfnfnfnnfjfngjfjfjfjfjfjfjfjf
i dont understand it
Answers
Write the inequalities in numerical form: Use N as your variable
3 more than a number is greater than 27
Answers
Answer:
n+3>27
Step-by-step explanation:
3 more, so add 3. greater symbol with 27 on the side.
You bought $2000 worth of stock in 2012. The value of the stock has been depreciating by 12%
each year.
What was the stock worth in 2017? Round your answer to the nearest cent. *
Answers
Answer:
$2000.00 X 12% =$240.00
$240.00 X 5 = $1200.00
Answer $1200.00
Step-by-step explanation:
What is 126,476,461 divided by 364,555
Answers
Answer:
346.93
Step-by-step explanation:
NEED HELP I SUCK AT GEOMETRY (OFFERING 100POINTS)!!! best answer get brainlest
Show work to find the value of x.
Answers
Answer:
Step-by-step explanation:
2x = x+30
subtract x on both sides
x = 30
As it is a isosceles triangle opposite sides are equal.
[tex]\\ \sf\longmapsto 2x=x+30[/tex]
[tex]\\ \sf\longmapsto 2x-x=30[/tex]
[tex]\\ \sf\longmapsto (2-1)x=30[/tex]
[tex]\\ \sf\longmapsto x=30[/tex]
How many seconds are in m minutes?
60 + m seconds
60 m seconds
60/m
Answers
Answer: 60 times m seconds
Note:
The answer choices say m seconds, not minutes.
Point Z is at a horizontal distance of 15 meters from the left- most point of the dam . What is the height of the dam at point Z?
Answers
Complete Question:
The profile of a dam is modeled by the equation y = 24 (StartFraction x Over 10 EndFraction) squared, where x represents horizontal distance and y represents height, both in meters.
Point Z is at a horizontal distance of 15 meters from the left-most point of the dam. What is the height of the dam at point Z?
Answer:
The height is 36 meters
Step-by-step explanation:
Given
[tex]y = 24 * \frac{x}{10}[/tex]
Required
The interpretation of the question is to determine the value of y when x = 15
Substitute 15 for x in: [tex]y = 24 * \frac{x}{10}[/tex]
[tex]y = 24 * \frac{15}{10}[/tex]
[tex]y = 24 * 1.5[/tex]
[tex]y = 36[/tex]
The height is 36 meters
Answer:
54
Step-by-step explanation:
edge
What is 2/3 of 3/4 equal to
Answers
Answer:
3/4 Is equal to .74 and 2/3 is equal to 66.67
Step-by-step explanation:
Answer:
8/9
or
89% after being rounded to the nearest whole
Step-by-step explanation:
The connotation "of" means to divide to find the percent/part of the whole.
2/3 ÷ 3/4 = 2/3 x 4/3 = 8/9 = 0.88....
So it is either 8/9, or 89% (when rounded)
If gas costs $3.15 per gallon, how many whole gallons of gas could you buy with $27.00?
Answers
Answer:
the answer is 9
Step-by-step explanation:
i used a caculator
What is the slope of the line below?
(-1,5)
(12,-1)
A. undefined
B. zero
C. negative
D. positive
Answers
Answer:
Positive
Step-by-step explanation:
I need help with this problem I'll give brainlist to whoever answers it right
4+2×3²-9
Answers
Answer:
The answer for 4+2×3²-9 is 13
Step-by-step explanation:
4+2×3²-9=13
Answer:
4+2×3-9 i think forgot
Step-by-step explanation:
In a class of the students in a class are girls.
There are 28 boys.
What fraction of the class are boys?
How many students are in the class?
Answers
Answer:
[tex]Boys = 1 /4[/tex]
[tex]Total =112[/tex]
Step-by-step explanation:
Given
[tex]Girls= 3/4[/tex] --- missing information
[tex]Boys = 28[/tex]
Solving (a): The fraction that are boys
We have:
[tex]Girls= 3/4[/tex]
This implies that
[tex]Boys = 1 - Girls[/tex]
[tex]Boys = 1 - 3/4[/tex]
[tex]Boys = 1 /4[/tex]
Solving (b): Students in the class
If 1/4 are boys, then:
[tex]Boys = \frac{1}{4} * Total[/tex]
We also have that: [tex]Boys = 28[/tex]
So:
[tex]28= \frac{1}{4} * Total[/tex]
[tex]28 * 4 = Total[/tex]
[tex]112= Total[/tex]
[tex]Total =112[/tex]
three years back , a father was 24 years older than his son .at present,the father is five times as old as the son.how old will the son be three years from now?
Answers
Answer:
The son is 5 I think
Step-by-step explanation:
24+3=27
27 divided by 5 = 5.4
round 5.4 to 5 since it is under .5
and you get 5
What is the first step you would take to solve the equation shown?
4 + 4n = -12
1. Add 4
2. Subtract 4
3. Multiply by 4
4. Divide by 4
Answers
Step by Step explanation
Mr. Williams asks to buy 12 of a pan of brownies that is 23 full.
Answers
Answer:
10 i think thats not really a questuon tho
Please please help
Think of your own statistical question and write it below:
Answers
Answer:
this will help u because my teacher just telled us about a statistical question
Step-by-step explanation:
The purpose of this task is to help students learn to distinguish between statistical questions and questions that are not statistical. A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer.
hope that help
Pls help me someone
Answers
Answer:
cos(49) = x/50
Step-by-step explanation:
(The answer to the equation is 32.8)