NASA launches a rocket at t = 0 seconds. Its height, in meters above sea level, as a function of time is
given by h(t) = – 4.9t2 + 139t + 185,
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
The rocket splashes down after
seconds.
How high above sea level does the rocket get at its peak?
The rocket peaks at
meters above sea level.
Answer:
the splash down occurs when h(t) = 0
0 = -4,9t2 + 139t + 185
using the quadratic formula,
t = -1.27 or 29.64 seconds
since time can't be negative
t = 29.64 secs
at the peak, h(t) is maximum
applying calculus,
[d{h(t)}}/dt = -9.8t + 139
at h(t) maximum, [d{h(t)}}/dt is 0
0 = -9.8t + 139
9.8t = 139
t = 14.18 secs
substituting,
h(t) = – 4.9t2 + 139t + 185
h(t) = -4.9(14.18^2) + 139(14.18) + 185
= 1170.77 m
Answer:
Step-by-step explanation:
y = ax² + bx + c
D = b² - 4ac
[tex]x_{12}[/tex] = ( - b ± √D ) ÷ 2a
[tex]y_{max}[/tex] = - [tex]\frac{b}{2a}[/tex]
~~~~~~~~~~~~~
h(t) = - 4.9t² + 139t + 185
- 4.9t² + 139t + 185 = 0
D = 139² + 4(- 4.9)(185) = 22947
[tex]t_{12}[/tex] = ( - 139 ± √22947) ÷ 2(- 4.9)
[tex]t_{1}[/tex] ≈ 29.641 ≈ 30 seconds
[tex]t_{2}[/tex] < 0
[tex]h_{max}[/tex] = - 4.9( [tex]-\frac{139}{2(-4.9)}[/tex] )² + 139( [tex]-\frac{139}{2(-4.9)}[/tex] ) + 185 ≈ 1170.7653 ≈ 1171 meters
The speed of a boat is 36 kilometers per hour. How fast is the car going in miles
per second?
Answer:
0.0062137124 miles per second
Step-by-step explanation:
Which parametric equations represent (x + 1)2 + (y – 3)2 = 16
PLEASE HELP WILL GIVE BRAINLIEST
x = 8cos(t) – 1 and y = 8sin(t) + 3
x = –cos(t) + 8 and y = 3sin(t) + 8
x = 4cos(t) – 1 and y = 4sin(t) + 3
x = –cos(t) + 4 and y = 3sin(t) + 4
Answer:
x = 4cos(t) – 1 and y = 4sin(t) + 3
Step-by-step explanation:
Equation of a circle:
The equation of a circle has the following format:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In which:
The centre is is [tex](x_0,y_0)[/tex] and r is the radius. The parametric equations are given by:
[tex]x(t) = r\cos{(t)} + x_0[/tex]
[tex]y(t) = r\sin{(t)} + y_0[/tex]
In this question:
[tex](x + 1)^2 + (y - 3)^2 = 4^2[/tex]
This means that the centre is [tex](-1,3)[/tex] and the radius is 4. So, the answer is:
x = 4cos(t) – 1 and y = 4sin(t) + 3
A square is 5 inches on each side. A small square, x inches on each side, is cut out from each corner of the original square. Represent the area of the remaining portion of the square in the form of a polynomial function A(x).
Answer:
A(x)= (5×5)-[4(x×x)]Hope this helps!Please help me with this question!
can you please help me!!!! thank you
Answer:
V = J = 92
Step-by-step explanation:
The angles are the same on both shapes.
Mario Works in a bakery he made 90 more loaves of bread on Saturdays and he did on Sunday he made 70
loaves of bread on Monday than he did on Sunday if he made 340 loaves of bread on Monday how many loaves of bread did he make on Saturday
Answer: 360
Step-by-step explanation:
Question: Mario Works in a bakery he made 90 more loaves of bread on Saturdays and he did on Sunday he made 70
loaves of bread on Monday than he did on Sunday if he made 340 loaves of bread on Monday how many loaves of bread did he make on Saturday.
so since he made 340 loaves of bread on monday and 70 less on sunday and 90 more on saturday 340-70 is 270 so he made 270 loaves on sunday and 270+90=360 so he made 360 loaves on saturday. plz mark me brainliest
plz help, Randy is fencing off a semi-circular region in his backyard against a wall. The semi-circular region has a diameter of 24 feet. The fencing will go along the arc only. How much fencing does Randy need?
Answer:
[tex]Fence = 41.408ft[/tex]
Step-by-step explanation:
Given
[tex]d = 24ft[/tex]
Required
Determine the length of the wall
First, we calculate the circumference (C) of the semi-circle
[tex]C =\pi d[/tex]
[tex]C = 3.142 * 24[/tex]
[tex]C = 75.408[/tex]
The length of the fence is calculated by subtracting the diameter from the circumference:
[tex]Fence = C - d[/tex]
[tex]Fence = 75.408ft - 24ft[/tex]
[tex]Fence = 41.408ft[/tex]
Does anybody know what measures a, b, and c would be?
Answer: A = 28 B = 47 C = 105 in degrees
Step-by-step explanation:
OKAY JUST A DISCLAIMER:
I did Geometry last year and the concepts are basically gone but I think I remember how to do this one
So I think one of the theorems stated that the inner angle is half of the outer arc.
So.. angle a would be 56/2 = 28
Angle b would be 94/2 = 47
Angle C is a vertical angle to the angle in the triangle, so it would be 180-47-28=105
which of the following is divisible by 9?
Answer:
If a numbers digits add up till 9
Step-by-step explanation:
The slope of a line is 1/3.
What is the slope of a line perpendicular to this line?
Answer:
-3
Step-by-step explanation:
Slopes of a perpendicular line are the opposite reciprocal.
So, the opposite of 1/3 is -1/3.
Then the reciprocal of -1/3 is -3 (since -3 is -3/1).
Help please!
Store A sells jeans for 7/8 of the price at Store B. Store A sells jeans
for $35. Write and solve an equation to find how much you save by
buying jeans at Store A.
Answer:
35/(7/8)=
35*8/7=40 store B
40-35=$5 Saved
Step-by-step explanation:
Hope this helps :D
Goran needs to buy plastic forks. Brand A has a box of 12 forks for $1.12. Brand B has a box of 25 forks for $2.69.
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
The Ferris wheel at the fair requires riders to be over 48 inches
tall. How tall are all eligible riders?
Answer:
4ft
Step-by-step explanation:
Write a polynomial that represents the area of the sqaure
Answer:
4x² + 28x + 49
Step-by-step explanation:
(x + x + 7)²
(2x+7)(2x+7)
4x² + 28x + 49
A sinusodial function whose frequency is 3, maximum value is 12, minimum value is -6 has a y-intercept of 3.
What function could be the function described
Answer:
f(x)=9sin(6πx)+3
PLEASE HELP!!!
The polygons are similar. The area of one polygon is given. Find the area of the other polygon
Answer:
Area of the other polygon = 4 in.²
Step-by-step explanation:
Area of the bigger polygon : Area of the smaller polygon = square of the side length of the bigger polygon : square of the corresponding side length of the smaller polygon
Let "x" represent the area of the smaller polygon
Thus, we have:
100/x = 20²/4²
100/x = 400/16
100/x = 25
Cross multiply
25x = 100
Divide both sides by 25
25x/25 = 100/25
x = 4
Area of the other polygon = 4 in.²
PLEASE CLICK ON THIS IMAGE I NEED HELP
Answer:
4
Step-by-step explanation:
because
8÷2=4
16÷4=4
24÷6=4
32÷8=4
PLEASE HELP ILL GIVE BRAINLIEST
Which exponential functions have been simplified correctly? Check all that apply.
f(x) = 53/16* = 5(23/2)*
F(x) = 2.310 Ž* = 2.3(43*
F(x)=81-34
OfW) = 27' = (3/3)*
Orx)=(24) ** = 2(13)
Answer:
A, C, and D are the exponential functions that have been simplified correctly
Find the x coordinate of the vertex of the parabola sketched in the figure below ?
PLEASE HELP!
Answer:
Step-by-step explanation:
x-coordinate of vertex is 4
Find the LCM of 16,25 and 35 using the prime factorization method
Answer:
it's 2800
Step-by-step explanation:
2×2×2×2×5×5×7
Lana runs a business where she fixes bikes. She charges $15.75 per hour for her labor as well as a $25 flat fee for any parts she may use. Write and solve a linear equation to find the total cost for her customer if she fixes a bike from 8:30 a.m. to 12:30 p.m
Answer:
y = 15.75x + 25 is the linear equation
$88 would be the total cost
Step-by-step explanation:
First, create the equation using y = mx + b, where x is the number of hours:
y = 15.75x + 25 will be the equation, since the charge is $15.75 per hour and the flat fee is $25
There are 4 hours in between 8:30 AM and 12:30 PM, so to find the cost, plug in 4 as x and simplify:
y = 15.75x + 25
Plug in 4 as x:
y = 15.75(4) + 25
y = 63 + 25
y = 88
So, the total cost would be $88
State the domain and range of the relation given in the table below, and determine if it is a function,
х 16 -8 4 1 -8 7
y 8 -6 -14 -9 7 24
Domain: {
Range:{
Is the relation a function?
O No
OYes
what is the equation of a circle with a radius of 7 and centered at point (3,-4)
Answer:
(x - 3)² + (y + 4)² = 49
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + *y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, - 4) and r = 7 , then
(x - 3)² + (y - (- 4) )² = 7² , that is
(x - 3)² + (y + 4)² = 49 ← equation of circle
PLEASE HELP
If Joey can run 24 miles in 6 hours, how many miles
can he run in 2 hours? SHOW YOUR WORK! (Hint:
Use equivalent ratios/fracción
Answer:
8 miles
Step-by-step explanation:
24 miles/6 hours = 4 miles per hour
4 miles per hour x 2 hours = 8 miles
Answer:
8 miles
Step-by-step explanation:
24/6 is your ratio. He runs 4 miles an hour, but we need 2 hours. 4x2=8 miles in 2 hours.
The table below models a exponential function. Find f(8)
Answer:
Step-by-step explanation:
f(x) = 65536(b)^x
Find b by substituting a point. (1, 16384)
16384 = 65536(b)^1
b=0.25
Thus,
f(x) = 65536(1/4)^x
Plug in 6,
f(8) = 1
Brian bought a computer
marked down from $380 to
$133. What is the discount,
as a percentage?
A:70%
B:60%
C:65%
D:75%
Answer:
Step-by-step explanation:
100(133-380)/380=-65%
So the discount was 65%
Question 3
Name the transformations of the next equation y
Answer:
1غىخةضهاثضخ
Step-by-step explanation:
ى7غ-3ص0ض49ة=
I need help ASAP will mark you the brainliest
Answer:
2
Step-by-step explanation: