Answers
First take a derivative,
[tex]\frac{d}{dx}-5t^2+10t+30=-10t+10=-10(t-1)[/tex]
Now compute the critical point where the slope is 0,
[tex]-10(t-1)=0\implies t-1=0\implies t=1[/tex]
And done.
The maximum height is at [tex]t=1[/tex] of [tex]h(1)=-5+10+30=35[/tex].
Hope this helps :)
Related Questions
Qu. In a triangle ABC, side AB has length 10cm, side AC has length 5cm, and angle BAC = θ
where θ is measured in degrees. The area of triangle ABC is 15cm^2
(a) Find the two possible values of cos θ
Given that BC is the longest side of the triangle,
(b) find the exact length of BC.
Answers
Answer:
To find cosθ, use the formula for the area of a triangle i.e. AREA=1/2 x a x b x sinC.=> For this case: 15= 1/2 x 10 x 5 x sinC to find sinC.=> SinC = 3/5 thus, Arcsin(3/5)=+- 4/5 or +-0.8
To find the exact length of BC, use the cosine rule.=> c(sq)=a(sq)+b(sq)-2abCosC=> c(sq)=10(sq)+5(sq)-2(10)(5)(+-4/5)=> c(sq)= Square root of 205
1)What's the probability of spinning a green on
Spinner A (2 green, 2 yellow, 2 blue, and 2 red),
and the yellow on Spinner B (4 red, 4 blue, 4
yellow, 4 green):
Spinner A Spinner B
Answers
Answer:
spinner A(green)= 2/8 =1/4
spinner B(yellow)= 4/16 =1/4
Compute the expected theoretical probability of getting a 6 when you roll a dice once. Explain your answer
Answers
Can anyone write out "the sum of 2 and the quotient of b is 5 when b equals 9" in numbers?
Answers
Answer:
2+b=5, b=9
Step-by-step explanation:
Which property is shown?
If m ZABC = m ZCBD, then mZCBD = m ZABC
reflexive property
substitution property
symmetric property
Transitive property
Answers
9514 1404 393
Answer:
(c) symmetric property
Step-by-step explanation:
The symmetric property of equality lets you swap sides of the equal sign.
__
Reflexive: A = A
Substitution: if A=B and A=C, then C=B
Symmetric: A = B ⇔ B = A
Transitive: if A = B and B = C, then A = C.
note that the substitution and transitive properties are almost indistinguishable.
When 8 is subtracted from the square of a number, the result is 7times the number. Find the positive solution
Answers
Answer:
x=8 , x=-1
Step-by-step explanation:
let the number is x
According to the condition
[tex] {x}^{2} - 8 = 7x \\ {x}^{2} - 7x - 8 = 0 \\ {x}^{2} - 8x + x - 8 = 0 \\ x(x - 8) + 1(x - 8) = 0 \\ (x - 8)(x + 1) = 0 \\ x - 8 = 0 \: or \: x + 1 = 0 \\ x = 8 \: or x = - 1[/tex]
Determine whether the statement is true or false.
13 € {1, 2, 3, ..., 10}
True
False
Answers
Answer:
Determine whether the statement is true or false.
13 € {1, 2, 3, ..., 10}
True
a meayerologist at television station reported that a town received 0.90 inches of rain. Which fraction is equivalent to this amount of rain in inches?
Answers
Answer:
9/10
Step-by-step explanation:
0.90 = 0.9 = 90/100 = 9/10
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
heeellllllpp HELP HELP heeellllllpp HELP HELP heeellllllpp HELP HELP heeellllllpp HELP HELP heeellllllpp HELP HELP heeellllllpp HELP HELP heeellllllpp HELP HELP heeellllllpp HELP plz
Answers
Answer:
Hope This Helps You
Have A Great Day
Write the 127.5 in scientific notation please.
Answers
Simplify (2^5/3^2)^4.
Answers
Answer:
Frist one is the answer of this question.
Hope it helps you.The tempature at 5 P.M. is 20 degrees f. The temperature at 10 P.M. is -5 degrees f. How many degrees did the temperature fall?
Answers
Answer:
25 degreea bestie hope thiis helped
The difference between the compound interest and simple interest on a certain sum at 10% per annum for 2 years is ₹157. Find the sum
Answers
Answer:
The difference between the compound interest and simple interest on a certain sum at 10% per annum for 2 years is Rs. ... Hence, the sum is Rs. 63,100.
Step-by-step explanation:
Hopefully it is helpful....Have a nice day..
1.2 hours in hours and minutes
Answers
Answer:
1 hour 12 minutes
Step-by-step explanation:
1.2 × 60 = 72 minutes
72-60 = 12 minutes
the costprice of the article is Rs800.If the article is sold for Rs1200,find profit
Answers
Answer:
Answer
Profit = SP - CP
Profit = 1200 - 800
Profit = 400
Henceforth,
Profit made on the article is ₹400
Solve the triangle.
A = 46°, a = 31, b = 27
Answers
Step-by-step explanation:
a=31
b=27
A = 46 degree
now, Area of ️ABC =ab siny÷2
=31×27 sin46÷2
=301.04371 .
Use a number line or place value to round each number to the place of the underlined digit
Answers
you didn't put a picture in,
prove the difference of the squares of two successive intergers is equal to the sum of the intergers
Answers
Answer:
[tex]\displaystyle \begin{aligned} \displaystyle (n+1)^2 - n^2 &= 2n +1 \\ &= n (n+1)\end{aligned}[/tex]
Where ? = 2.
Step-by-step explanation:
We want to prove that the difference of the squares of two successive integers is equal to the sum of the integers.
In other words, we want to show that for any given integer n:
[tex]\displaystyle (n+1)^2 - n^2 = n + (n+1)[/tex]
From the original equation, expand:
[tex]\displaystyle = (n^2 + 2n + 1) - n^2[/tex]
Combine like terms:
[tex]= 2n +1[/tex]
And rewrite. Hence:
[tex]\displaystyle = n + (n + 1)[/tex]
Therefore:
[tex]\displaystyle \begin{aligned} \displaystyle (n+1)^2 - n^2 &= 2n +1 \\ &= n (n+1)\end{aligned}[/tex]
In conclusion, ? = 2.
what is the slope -intercept of this line
Answers
Step-by-step explanation:
at x (2,-2)
y(0,4)
You can use the formula Y = MX + C
Find the value of x.
Answers
9514 1404 393
Answer:
x = 6
Step-by-step explanation:
The angle bisector divides the sides proportionally.
(6x -1)/42 = (10x +5)/78
13(6x -1) = 7(10x +5) . . . . . . . multiply by 546 = LCM(42, 78)
78x -13 = 70x +35 . . . . . . . . eliminate parentheses
8x = 48 . . . . . . . . . . . . . . . . add 13-70x
x = 6 . . . . . . . . . . . . . . . . . divide by 8
6.5 / (2.2 x 3.6 / 7.92)
(pls help)
Answers
Answer:
6.89
Step-by-step explanation:
Do what's in the parentheses first then the rest and I rounded. Hope this helps!
Grass seed is going to be spread over a playing field. The number of
bags of seed needed depends on the size of the field. The rectangular
field is 87 yards long and 60 yards wide. What is the area of the field?
Answers
Answer:
A =5220 yd^2
Step-by-step explanation:
The area of a rectangle is given by
A = l*w where l is the length and w is the width
A = 87 * 60
A =5220 yd^2
Identify the property that justifies each step asked about in the answer area below.
Line 1:
c(bd)
Line 2:
(cb)d
Line 3:
(bc)d
Line 1 to Line 2:
Line 2 to Line 3:
Answers
The properties that justify each line is:
Line 1 to Line 2: Associative property of multiplicationLine 2 to Line 3: Associative property of multiplicationThe expressions are given as:
[tex]c(bd)[/tex]
[tex](cb)d[/tex]
[tex](bc)d[/tex]
Notice that only the positioning of the variables are changed, the operator within the variables remain the same (i.e. the multiplication)
Hence, the properties that justify the three lines is the associative property of multiplication
Read more about algebra properties at:
https://brainly.com/question/10628093
Answer:
Step-by-step explanation:
KJ,BDUVLJ,B SIV.LNDFVLIK.,snV LK,BNDIRLKN
Andrew is employed and paid at rate of R650 per day . Calculate his new daily rate after a 7% increase. Show all your calculations
Answers
Answer:
650 x 1.07 = 695.5.......
Mary is putting money into savings account. She starts with $750 in the savings accounts, and each week she adds $30.
Answers
The product of 4x and 0 is:
a- 4x
b- 4
c- 0
d- none of these
Answers
Which notation indicates 2 congruent segments
Answers
Answer:
≅ is congruent
Step-by-step explanation:
║ is parallel
⊥ perpendicualr
Plsssssssssssss help me
Answers
(1 point) Find the equation of the line that contains the point (8,6) and is perpendicular to the line 3x + 2y = 2. Write
the equation in the form y = mx + b and identify m and b.
Answers
Step-by-step explanation:
Equation of given line:
3x+2y=2
2y=-3x+2
y=-3/2 x +2
slope =m1=-3/2
As lines are perpendicular:
m1×m2=-1
-3/2×m2=-1
required slope=m2=2/3
By using point slope form:
y-6=2/3(x-8)
3y-18=2x-16
3y=2x-16+18
3y=2x+2
y=2/3 x+2
m=2/3 ,b=2
Note:if you need to ask any question please let me know.Given that BE bisects LAB Din the figure below, find the value of x.
help please!