Answer:
x=5.09 seconds (times at max)
Step-by-step explanation:
The time at which the height of the rocket is maximum is 5.09 seconds and the maximum height is 563.14 feet.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
A rocket is launched from a tower.
The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.
The quadratic equation is given below.
[tex]\rm y=-16x^2+163x+148[/tex]
Differentiate the equation with respect to x, then we have
[tex]\rm y' = \dfrac{dy}{dx}=\dfrac{d}{dx}(-16x^2+163x+148)\\\\y' =-32x + 163[/tex]
For y' = 0, then we have
32x = 163
x = 5.09
Then the maximum value of the rocket will be
[tex]\rm y=-16(5.09)^2+163(5.09)+148\\\\y = - 414.53 + 829.67 + 148\\\\y = 563.14\ ft[/tex]
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
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PLZZZ ANSWER FAST DOING QUIZ RN!
given a right triangle with sides of a = 3 and b = 11 find the length of C
a:10.6
b:11.7
c:11.0
d:11.4
Answer:
D. 11.4 (If C is the hypotenuse)
Step-by-step explanation:
11^2 + 3^2 = 130
sqrt 130= 11.4
Answer: I don`t know but I set up a pull for you in Quizizz so the answers should start coming in so just be patient thank you for asking
Step-by-step explanation:
What’s the y & x for this?
Please help due soon! I'm giving brainliest answer :)
Answer:
the third one
Step-by-step explanation:
Setup a rational equation and solve it from the word problem. Mr. Solberg can ride his scooter 3 miles against the wind in the same time it takes him to scooter 4 miles with the wind. If the speed of the wind is 5 mile per hour, how fast does Mr. Solberg scooter when there is no wind?
Answer:
The speed of Mr Solberg's scooter when there is no wind is 35 miles per hour
Step-by-step explanation:
The given parameters are;
The time Mr. Solberg rides his scooter and cover 3 miles against the wind = The time Mr. Solberg rides his scooter and cover 4 miles with the wind
The speed of the wind = 5 miles per hour
Let v, represent the speed of Mr Solberg's scooter when there is no wind, we have;
Time = Distance/Speed
Mr Solberg's speed against the wind = v - 5
Mr Solberg's speed with the wind = v + 5
The distance covered at a given time, while riding against the wind = 3 miles
The distance covered at the same time, while riding with the wind = 4 miles
The time in both instances are therefore 3/(v - 5) = 4/(v + 5)
From which we have;
3 × (v + 5) = 4 × (v - 5)
3·v + 15 = 4·v - 20
20 + 15 = 4·v - 3·v
4·v - 3·v = 20 + 15
v = 35
The speed of Mr Solberg's scooter when there is no wind = v = 35 miles per hour.
How much will a sub and a soda cost when you have a coupon for 30 cents off the total price? (Hint - Write 30 cents as a decimal.)
Answer:
0.3 cents
Step-by-step explanation:
move the decimal over two places
Order the decimals from least to greatest.
1.45, 2.56, 0.99
Answer:
0.99, 1.45 then 2.56 will be the greatest!
You are constructing a line perpendicular to line y through point X, which is not on line y. Which of the following is not a necessary step?
A. Draw an arc with center Q and radius XQ. Label the intersection of this arc and line y as point C. Draw line XC .
B. Draw two arcs of the same radius using A as a center and B as a center. Label the intersection of these two arcs as Q .
C. Place a compass at point X and draw an arc that intersects the line twice. Label the intersections A and B.
D. Draw line XQ .
Answer:Ur answer is C
chad bought a box of raisins. he gave 1/6 of it to one brother, 1.4 to another brother and he kept the rest for himself. what fraction did he keep
Answer: 1 - 5/12 = 7/12
Fraction, that he gave to his brothers = 1/6 + 1/4 = 5/12
So, Fraction he kept for himself, 1 - 5/12 = 7/12
Is 22 miles per hour a rate or a unit rate?
Answer: yes it is
Step-by-step explanation:
if your taking algebra..........same :( isnt it so stupid. why do we need to know what y=mx+b is ughhh im failing bc of the stupid class
Answer:
I know i hate algebra
Step-by-step explanation:
WILL MARK BRAINLIEST
two sides of a triangle have lengths 6 and 17 which inequalities represent the possible lengths for the third side, x?
Answer:
Will you really mark brainliest though?
Step-by-step explanation:
Laurie was scuba diving. Each time she dove 5 feet deeper, she would stop and clear her ears. After Laurie had checked her instruments 3 times, she was at her maximum depth of 60 feet. Which expression best represents Laurie's maximum depth? (4) (negative 5) (3) (Negative 4) (Negative 5) (Negative 3) (Negative 5) (20) (3) (Negative 5) (Negative 20) (Negative 3)
Complete question :
Answer:
(-5) * (20) * (3)
Step-by-step explanation:
Diving 5 feets deeper = descent = negative 5 Feets
Each time instrument is checked = (60/3) = depth of 20 feets
Number of times instrument is checked = 3
Hence, maximum depth :
Diving 5 feets deeper * Each time instrument is checked = depth of 20 feets * Number of times instrument is checked
(-5) * (20) * (3) = - 60
Answer:
c
Step-by-step explanation:
Help plz ASAP I WILL GIVE U BRAINLY!! <333
Rectangular coordinates (StartRoot 3 EndRoot, StartRoot 3 EndRoot) and polar coordinates (r, theta) = (StartRoot 6 EndRoot, StartFraction pi Over 4 EndFraction) both represent the same complex number z.
Which set of equations demonstrates why both sets of coordinates represent the same number?
A.) r = StartRoot 3 EndRoot + StartRoot 3 EndRoot = StartRoot 6 EndRoot and theta = inverse tangent of (1) = StartFraction pi over 4 EndFraction
B.) r = StartRoot 3 EndRoot + StartRoot 3 EndRoot = StartRoot 6 EndRoot and theta = inverse tangent of (StartRoot 3 EndRoot) = StartFraction pi over 4 EndFraction
correct one - C.) r = StartStartRoot (StartRoot 3 EndRoot) squared + (StartRoot 3 EndRoot) squared EndEndRoot = StartRoot 6 EndRoot and theta = inverse tangent of (1) = StartFraction pi Over 4 EndFraction
D.) r = StartStartRoot (StartRoot 3 EndRoot) squared + (StartRoot 3 EndRoot) squared EndEndRoot = StartRoot 6 EndRoot and theta = inverse tangent of (StartRoot 3 EndRoot) = StartFraction pi Over 4 EndFraction
Answer:
It is C. r = StartStartRoot (StartRoot 3 EndRoot) squared + (StartRoot 3 EndRoot) squared EndEndRoot = StartRoot 6 EndRoot and theta = inverse tangent of (1) = StartFraction pi Over 4 EndFraction
Step-by-step explanation:
edge2020
The rectangular coordinates (√3,√3) and polar coordinates (√6,[tex]\frac{\pi}{4}[/tex]) represent the same complex number z=x+iy because,
[tex]r=\sqrt{(\sqrt3)^2+(\sqrt3)^2}=\sqrt6[/tex] and,
[tex]\theta=\arctan(\frac{\sqrt3}{\sqrt3})=\arctan(1)=\frac{\pi}{4}[/tex]
The question is not written in an understandable manner look at the question in the below-given image.
What is polar coordinate?In terms of Cartesian coordinates, the polar coordinates r (the radial coordinate) and θ (the angular coordinate, often known as the polar angle),
x = rcosθ
(1)
y = rsinθ,
(2)
where r is the radial distance from the origin and θ is the counterclockwise angle from the x-axis. In relation to x and y,
[tex]r=\sqrt{x^2+y^2}[/tex]
(3)
[tex]\theta=\arctan(\frac{y}{x})[/tex]
How to solve it?Using the above explanation of polar coordinates we have that
[tex]r=\sqrt{(\sqrt3)^2+(\sqrt3)^2}=\sqrt6[/tex] and
[tex]\theta=\arctan(\frac{\sqrt3}{\sqrt3})=\arctan(1)=\frac{\pi}{4}[/tex]
Learn more about polar coordinates here-
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The Miller's budget $90,240 annually. If both Mr. And Mrs. Miller each work 160 hours per month, what is the average hourly wage needed to meet the budget? Round to the nearest cent.
Answer:
$23.50 per hour
Step-by-step explanation:
Since they both work this amount per month and the budget is based on their combined salary then we can combine this amount of hours for two people. Therefore, Mr. and Mrs. Miller work 320 hours each month together. There are a total of 12 months in a year meaning that ...
320 * 12 = 3,840 hours
Mr. and Mrs. Miller work a total of 3,840 hours per year. Therefore in order to meet their budget, they need to make an hourly wage of ...
90,240 / 3,840 = $23.50
The question is in the image! Please help if u can its due really soon
Answer:
88°
Step-by-step explanation:
m∠AOB = m∠DOE = 88°
dan spens 3/4 of his wages on rent and 1/8 on food if he makes £240 per week how much money does he have left
Answer:
£30
Step-by-step explanation:
3/4 is the same as 6/8. [tex]\frac{6}{8}+\frac{1}{8}=\frac{7}{8}[/tex]. 7/8 of £240 is [tex]\frac{7}{8}*240[/tex] which is 210. [tex]240-210=30[/tex].
Which of the following are the most likely factors of the function graphed above?
A. (x-3)(x+4)
B. (x+3)(x-4)
C. (x+2)(x-4)
D. (x)(x+12)
Answer:
Option (B)
Step-by-step explanation:
From the graph attached,
x-intercepts of the graphed function are,
x = -3 and x = 4
Therefore, zero factors of the function will be,
(x + 3) and (x - 4)
So the quadratic function given in the graph will be in the form of,
f(x) = (x + 3)(x - 4)
Option (B) will be the correct option.
Select all the comparisons that are correct.
Check all that are true.
0.5 inches > 0.60 inches
0.10 inches
0.1 inches
0.75 inches > 0.6 inches
0.9 inches < 0.85 inches
0.2 inches < 0.28 inches
Answer:
a b e i think
Step-by-step explanation:
(q^4)^z= 9^12
Find the value of z.
Answer:
z=12
Step-by-step explanation:
Tell me what number can you multiply q (unknown value) and 4 to get 9 and 12.... 3 right? 3x3 is?? 9 exactly. 3x4 is??? 12 boom
kelsey purchases a coupon book with discounts for her favorite coffee shop: every coupon for the coffee shop offers the same discount. The table shows her total savings, y, based on the number of coupons, x, used from the book. what are the slope and Y intercept of the line represented by the points shown in the table?
9514 1404 393
Answer:
b. slope: 2; y-intercept: -20
Step-by-step explanation:
The y-intercept is the first point in the table, where x=0. That eliminates choices A and D.
The slope is the difference in y divided by the difference in x. Using the first and second points in the table, this is ...
(-10 -(-20))/(5 -0) = 10/5 = 2
The slope is 2; the y-intercept is -20.
Help ME plaese :D ::D TOOOOT TOOOT
Answer:
52
you have to find the area i hope i helped
Triangle P R Q is shown. The length of side P R is 5 n. The length of side R Q is 32 + n. Angles R P Q and P Q R are congruent. What is the length of PR?
Answer:
20Step-by-step explanation:
According to Triangle P R Q, if angles R P Q and P Q R are congruent, this means that two of the sides of the triangle a re also congruent (Isosceles triangle).
We can say then that length of side PR is equal to that of RQ i.e PR = RQ
Given
PR = 5n
RQ = 32+n
Required
Length of PR
Since the two sides are equal i.e PR = RQ
5n = 32+n
5n - n = 32
4n = 32
n = 32/8
n = 4
Get PR;
Since PR = 5n
PR = 5(4)
PR = 20
Hence the length of PR is 20.
Answer:
40
Step-by-step explanation:
The distance from Boston Massachusetts to Buffalo New York is 450 miles what’s the closest approximation of how many kilometers apart these two cities are
Answer:
724.2048 Kilometers
Step-by-step explanation:
pls help me !!! asap
Answer:
Point Q
Step-by-step explanation:
Answer:
It’s point P
Step-by-step explanation:
The square root of 92 is in a point between the square root of 81 which is 9 and the square root of 100 which is 10 you it is best to estimate that the square root of 92 is aprox 9.6 which is point P
Please help me with this equation
Answer:
u just expand the brackets out and make a linear equation to solve from there
Step-by-step explanation:
what are the possible values of x in 2x^2-8=10
Answer:
3, -3
Step-by-step explanation:
Angelica and genesis are trying to find the difference of 7-(-5). Genesis thinks the difference is -12. Angelica thinks the difference is +12. Who is correct? Explain.
Answer:
12
Step-by-step explanation:
7-(-5) = 7+5
7+5 = 12
7-(-5) = 12
Pls show work or at least explain its essy but i need help
Answer: I think its D
Step-by-step explanation: If im right plz give brainliest
Select all names that apply.
121
121
I don't understand the question
if i have a 83.5 as my grade and let's just say i would get a 70/100 what would be my grade?
Answer:
76.75
Step-by-step explanation:
83.5 + 70= 153.5
153.5 / 2 = 76.75
Your grade would be 76.75.
HOPE THIS HELPED