Answer:
The rocket will reach the maximum height after 8.34 seconds.
Step-by-step explanation:
We need to take the derivative of the function and set it to 0.
[tex]y' = -32x + 267 = 0\\32x = 267\\x = 8.34[/tex]
The maximum height of the rocket at x = 8.34375 will be 1,220.89.
What are the maxima and minima of a function?For the maximum value of the function if f''(x) < 0 and for the minimum value of the function if f''(x) > 0.
The maximum and minimum value of the function is at f'(x) = 0.
A rocket is sent off from a pinnacle. The level of the rocket, y in feet, is connected with the time after send-off, x like a flash, by the given condition.
The equation is given below.
y = -16x² + 267x + 107
Differentiate the function and put it zero to get the value of time that is 'x' will be given as,
y' = 0
(d/dx)(-16x² + 267x + 107) = 0
-32x + 267 = 0
32x = 267
x = 8.34375
Then the maximum height of the rocket at x = 8.34375 will be given as,
y = -16(8.34375)² + 267(8.34375) + 107
y = -1,113.89 + 2,227.78 + 107
y = 1,220.89
The maximum height of the rocket at x = 8.34375 will be 1,220.89.
More about the maxima and minima links are given below.
https://brainly.com/question/12870695
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If sin theta + cos theta=mand sec theta+ cosec theta =n then n(m+1)(m-1)=?
sin A + cos A = m -- equation (1)
sec A + Cosec A = n -- equation (2).
Find:value of n(m+1)(m-1)
Solution:We have to find:
n(m + 1)(m - 1)
using (a + b)(a - b) = a² - b² we get,
⟹ n (m² - 1²)
⟹ m²n - n
Putting the values from equations (1) & (2) we get,
⟹ (sin A + cos A)² * (sec A + Cosec A) -
(sec A + Cosec A)
(a + b)² = a² + b² + 2ab
⟹ (sin² A + cos² A + 2sin A Cos A ) * (sec A + Cosec A) - sec A - Cosec A
using the identity sin² A + cos² A = 1 we get,
⟹ ( 1 + 2 sin A cos A ) * (sec A + Cosec A) - sec A - Cosec A
⟹ 1(sec A + Cosec A) + 2sin A cos A(sec A + Cosec A) - sec A - Cosec A
⟹ sec A + Cosec A + 2 sin A * cos A * sec A + 2 sin A cos A Cosec A - sec A - Cosec A
using sin A * Cosec A = 1 & cos A * sec A = 1 we get,
( sec A + Cosec A & - sec A - Cosec A are being cancelled )
⟹ 2 sin A + 2 cos A
⟹ 2 (sin A + cos A)
Putting the value sin A + cos A from equation (1) we get,
⟹ 2m
∴ n (m + 1)(m - 1) = 2m.
I hope it will help you.
Regards.
Step-by-step explanation:
m=sinθ+cosθ⟹m
2
=sin
2
θ+cos
2
θ+2sinθcosθ=1+2sinθcosθ
⟹sinθcosθ=
2
m
2
−1
n=secθ+cosecθ=
sinθcosθ
sinθ+cosθ
=
2
m
2
−1
m
⟹n(m
2
−1)=2m⟹n(m+1)(m−1)=2m
PLEASE HELPP
A linear function is shown on the graph and in the table.
What are the slope and y-intercept of the linear function?
A) The slope is - 1/3 and the y-intercept is 147.
B) The slope is 3 and the y-intercept is 147.
C) The slope is –3 and the y-intercept is 150.
D) The slope is 1/3 and the y-intercept is 150.
Answer:
slope is -3, y-intercept is 150 [C]
Step-by-step explanation:
The slope is –3 and the y-intercept is 150. Therefore, option C is the correct answer.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).
From the table we have (1, 147) and (3, 141).
Here, slope (m) = (141-147)/(3-1)
= -6/2
= -3
Substitute m=-3 and (x, y)=(1, 147) in y=mx+c, we get
147=-3(1)+c
c=147+3
y-intercept =c=150
Therefore, option C is the correct answer.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
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please please help lol
11) Solve -6x + 5 = -19.
Answer:
-6
Step-by-step explanation:
simplify. remove all perfect squares from inside the square root.
Answer:
[tex]10\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{200} =\sqrt{100*2} =10\sqrt{2}[/tex]
Answer:
[tex]10\sqrt{2}[/tex]
Step-by-step explanation:
Under the radicand you separate 200 into a perfect square: 100 x 2.
Since 100 is perfect square it equals 10, and two doesn't have a square root. So you're answer is [tex]10\sqrt{2}[/tex].
how many milliliters are in 90 ounces
Answer:
2661,62 ml
Step-by-step explanation:
Answer:
2661,62 milliliters are in 90 ounces
Step-by-step explanation:
If you're using US customary fluid ounces, your 90 fl oz is equal to 2661,62 ml when rounded off.
a.) y - 11 = (x+3)
Slope of line
Answer:
m = 1
Step-by-step explanation:
y - 11 = (x+3) can be compared to the gneral point-slope formula
y - k = m(x - h), where (h, k) is a point on the line.
Notice that the coefficient of (x + 3) is 1; therefore we know immediately that the slope of the line is m = 1.
please help me Herbert and Samantha are both driving from Orlando to Miami. Herbert
leaves at 9:00 and averages 60 mph (miles per hour) on the way. Samantha
leaves at 9:10 and averages 65 mph on the way. The situation is modeled by
this system, where x is the number of hours after Samantha leaves and y is
the distance each will travel:
y = 60x + 10
y = 65x
How long after Samantha leaves will she pass Herbert, and how far will they
each have traveled?
A. Samantha will not pass Herbert, because she will never catch up
with him
B. Samantha will pass Herbert after 3 hours, and they each will have
traveled 180 miles.
O C. Samantha will pass Herbert after 2 hours, and they each will have
traveled 130 miles.
O D. Samantha will pass Herbert after 3 hours, and they each will have
traveled 190 miles.
Answer:
B 2 hours of 130 miles is the 60th term of the y intercept!
Step-by-step explanation:
Have a great day
Hopefully this helped if not HMU and I will get u a better answer!
:) <3
Answer: Samantha will pass Herbert after 2 hours, and they each will have traveled 130 miles.
Step-by-step explanation:
Suppose that diastolic blood pressure readings of adult males have a bell-shaped distribution with a mean of 82 mmHg and a standard deviation of 12 mmHg. Using the empirical rule, what percentage of adult males have diastolic blood pressure readings that are no more than 94 mmHg?
Answer:
68%
Step-by-step explanation:
Suppose that diastolic blood pressure readings of adult males have a bell-shaped distribution with a mean of 82 mmHg and a standard deviation of 12 mmHg. Using the empirical rule, what percentage of adult males have diastolic blood pressure readings that are no more than 94 mmHg?
Empirical rule states that:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
We are given:
mean of 82 mmHg and a standard deviation of 12 mmHg.
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
μ - σ
82- 12
= 70mmHg
μ + σ.
= 82 + 12
= 94 mmHg
a map is placed on a coordinate grid. on the map, city 1 is located at (35,78) and city 2 is located at the point (47,122). If each unit is equivalent to 1 mile, how far apart are the cities?
Answer: 56
Step-by-step explanation:
so basically I just subtracted 47-35 122-78 then added
\12 /+ \ 44 /=56
Find all missing angles.
First convert kilometers to meters. Set up the conversion factor so that
the kilometer units will cancel out.
5.2 km
S
m
1000 km
1 km
S
Answer:
here are 1000 meters in a kilometer so the conversion factor is 1000. To change within the metric system it is helpful to visualize the metric system ... Going up the staircases moves the decimal point one place to the left for each step. ... to convert 65 km to metres, you choose the conversion factor
Step-by-step explanation:
Is (-3,12) a solution to 2x+y=6?
Answer:
Yes
Step-by-step explanation:
not really a work question but how do i deal with a friend who only calls me just to rant/complain?
Answer say your busy
Step-by-step explanation:
or just let it go to voicemail
Don't brush them off right off the bat. If they have time to rant about only their problems then you should be able to voice your complaints too. I'm not saying to turn the conversation into an argument but try to find a common ground and come to an agreement. Maybe they feel safe leaving their thoughts with you are just like rambling. Well whatever the reason you should also get the same respect you give of listening to your friends problems. All friendships are different but I hope I helped in the slightest.
L.B. Johnson Middle School held a track and field event during the school year. Miguel took part in a four-person shot put team. Shot put is a track and field event where athletes throw (or “put”) a heavy sphere, called a “shot,” as far as possible. To determine a team score, the distances of all team members are added. The team with the greatest score wins first place. The current winning team’s final score at the shot put is 52.08 ft. Miguel’s teammates threw the shot put the following distances: 12.26 ft., 12.82 ft., and 13.75 ft. Exactly how many feet will Miguel need to throw the shot put in order to tie the current first-place score? Show your work.
Answer:
11.25 ft
Step-by-step explanation:
To determine a team score, the distances of all team members are added.
The current winning team’s final score at the shot put is 52.08 ft.
So, in order to tie the score Miguel's team must equal the above score.
The total score before Miguel's throw was 12.26+12.82+13.75= 38.83 ft
so , Miguel will have throw 52.08-38.83= 11.25 ft in order to tie the score.
Mei learns 12 new vocabulary words each week. At this rate, how many weeks will it take Mei to learn 156 new vocabulary words?
Answer:
91 weeks
Step-by-step explanation:
take the starting number 12 and 7. 12 for the amount of words and 7 for the days it takes. Then divide 156 by 12 and you get 13. multiply 13 by 7 and it will take you 91 weeks
The pH scale measures how acidic or basic a substance is. Bleach is said to have a pH of less than 14 and greater than 11. Model the normal range of pH values of bleach, using a compound inequality.
Answer: 11 < x < 14
Step-by-step explanation:
Tom is making potato salad for family picnic At the market he spends $5.58 on red potatoes and $4.68 on yellow potatoes If each type of potato cost $0.90 per pound, how many total pounds of potatoes does he buy?
Answer:
11.4
Step-by-step explanation:
Answer:
11.4 lbs of potatoes total
Step-by-step explanation:
$5.58 red potatoes
$4.68 yellow potatoes
$0.90 per pound
5.58 / 0.90 = 6.2 lbs
4.68 / 0.90 = 5.2 lbs
5.2 + 6.2 = 11.4
Move vertices A, B, and C to modify the original parallelogram. As you change the parallelogram, notice what happens to the sides and the angles. How does moving the vertices affect the relationships between the sides and the angles that you noted in Questions 3 and 5?
Answer:
Despite changing the vertices, the opposite sides and opposite interior angles of the parallelogram remain equal.
Step-by-step explanation:
Answer:
Despite changing the vertices, the opposite sides and opposite interior angles of the parallelogram remain equal.
Step-by-step explanation:
Pls help math sucks and im really bad at it
Answer:
ion even know this and i know almost everything your gonna have to solve this yourself
Step-by-step explanation:
Venetta buys 2 pounds of pistachios and 3 pounds of almonds.
The pistachios cost $4 more per pound than the almonds.
She pays a total of $48.
Which of the following are true?
Select the THREE that apply.
A) The cost P, in dollars, of 1 pound of pistachios is modeled 2p+3(p - 4)= 48
B) The cost A, in dollars, of 1 pound of almonds is modeled as 2(a - 4) + 3a = 48
C) Reducing the number of pounds of almonds by one result in a total cost of 40.
D) The pistachios cost twice as much per pound as the almonds.
E) One pound of pistachios plus one pound of almonds cost 20.
Answer:
Id say d
Step-by-step explanation:
2/3y - 2/5 = 5, what is the value of y? *
Answer:
y=3.6 or 18/5 or you can turn it into any other fraction
Step-by-step explanation:
2/3y - 2/5 = 5
+2/5 +2/5
2/3y = 27/5
multiply by 2/3 on both sides
y=3.6 or 18/5 or you can turn it into any other fraction
9d+n= 57
I need to find the answer for d
[tex]\tt Step-by-step~explanation:[/tex]
To solve for d, we have to move all the terms that do not equal to d to one side of the equation and leave d on the other side.
[tex]\tt Step~1:[/tex]
First, subtract n from both sides.
[tex]\tt 9d+n-n=57-n\\9d=57-n[/tex]
[tex]\tt Step~2:[/tex]
Divide all terms by 9 to get the variable d by itself.
[tex]\tt \frac{9d}{9} =d\\\\\frac{-n}{9} =-\frac{n}{9}\\\\\frac{57}{9}=6\frac{1}{3} ~or~\frac{19}{3} \\\\d=-\frac{n}{9} +\frac{19}{3}[/tex]
[tex]\Large\boxed{\tt Our~final~answer:~d=-\frac{n}{9} +\frac{19}{3} }[/tex]
[tex] \LARGE{ \underline{ \pink{ \bf{Required \: answer:}}}}[/tex]
Since there are two variables in the equation and no other simultaneous equation is not given, We need to express d in terms of other elements in the equation.
GiveN:
9d + n = 57So, Let's find d from the above equation. Subtracting n from both sides of the equation.
⇛ 9d = 57 - n
Now dividing the equation by 9,
⇛ 9d / 9 = 57 - n / 9
⇛ d = 57 - n / 9
Thus, the required answer for d is:
[tex] \boxed{ \rm{d = \frac{57 - n}{9} }}[/tex]
And we are done ......
#KeepOnExploring
pls help wodjdjsjqnjs
Answer:
hello i am here to talk to you is it ok if we take this to snap or any way to contact you
Step-by-step explanation:
Find the height of a right rectangular prism with surface area 286 m 2 , length 10 m, and width 8 m.
please help qwq
Answer: Height=3.58
I used this formula h=V /lw
here to help :)
One angle of a triangle measured 70 the other two angles are in a ratio of 7 : 15 what are the measures of those two angles
Answer:
35°, 75°
Step-by-step explanation:
Let the measures of the remaining two angles be 7x and 15x
By interior angle sum Postulate of a triangle.
70° + 7x + 15x = 180°
22x = 180° - 70°
22x = 110°
x = 110°/22
x = 5°
7x = 7*5° = 35°
15x = 15*5° = 75°
Area of parallelogram with the length 13 and height 6
please solve this y=-1/2x+1
Answer:
slope = -1/2
Step-by-step explanation:
m=mx+b so y=-1/2x+1 x is ur slope
2x−3y=2y+7x+15, solve for y
Answer:
-5x+15= 10y
Step-by-step explanation:
What is an
equation of the line that passes through the points (-6, 2) and (6, -2)?
Answer:
m = -4 / 12 = -1 / 3 = -0.33333
Step-by-step explanation: