Answer:
C. [tex]\frac{d^{2}f}{dt^{2}} = k\cdot \sqrt[3] {t}[/tex]
Step-by-step explanation:
Physically speaking, the acceleration is equal to the second derivative of the position of the vehicle in time. After a careful reading to the statement, we construct the following ordinary differential equation:
[tex]\frac{d^{2}f}{dt^{2}} = k\cdot \sqrt[3] {t}[/tex]
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]k[/tex] - Proportionality constant, measured in meters per second up to 7/3.
Therefore, the correct answer is C.
The differential equation that models the situation is:
[tex]\frac{d^2f}{dt^2} = k\sqrt[3]{t}[/tex]
Which is option C.
The position is the integral of the acceleration, with is the integral of the acceleration, hence, the relation between the position and the acceleration is:
[tex]\frac{d^2f}{dt^2}[/tex]
The acceleration is proportional to the cube root of the time since the start, hence:
[tex]\frac{d^2f}{dt^2} = k\sqrt[3]{t}[/tex]
In which k is the constant of proportionality.
A similar problem is given at https://brainly.com/question/14480252
The dolphins are feed 64 buckets of fish each day. The penguins are feed 1/8 as many buckets of fish as the dolphins. How many buckets of fish do the penguins eat?
Answer:
8
Step-by-step explanation:
You just gotta divide 64 by 8
The shadow of a 60 foot pole is a 100 feet long. What is the angle of evaluation from the end of the shadow to the top of the pole?
Answer:
The angle is approximately [tex]31^{o}[/tex].
Step-by-step explanation:
The description i the given question can be represented with the sides of a right angled triangle.
Applying the appropriate trigonometric function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
In the question, opposite side = 60 feet, and adjacent side = 100 feet.
Tan θ = [tex]\frac{60}{100}[/tex]
= 0.6
θ = [tex]Tan^{-1}[/tex] 0.6
= [tex]30.964^{o}[/tex]
θ = [tex]31^{o}[/tex]
The angle of elevation from the end of the shadow to the top of the pole is [tex]31^{o}[/tex].
Shae is covering a wall in her bedroom with wallpaper. The measurement of the wall is 12 ft x 14 ft.
A roll of wallpaper covers 42 square feet. How many rolls should Shae purchase?
A. 4 rolls
B. 10 rolls
C. 12 rolls
D. 14 rolls
Answer:
4 rolls
Step-by-step explanation:
Area of the wall = 12 *14 = 168 square feet
1 roll = 42 square feet.
x roll = 168
1/x = 42/168 Cross Multiply
42x = 168 Divide by 42
x = 168/42
x = 4 rolls
Answer:
12 rolls
Step-by-step explanation:
The area of the parallelogram below is ____ square meters.
Answer:
45 cm2
Step-by-step explanation:
your welcome I guess?
im doing the same test btw
EDIT: i finished my test this answer is wrong. pls do search for a different answer. because mine is wrong.
FAST ITS TIMED
Which expressions are equivalent to 8(-10x + 3.5y - 7)
Answer:
#2 and #4
Step-by-step explanation:
Answer:
B and D
Step-by-step explanation:
11. Jeremy ran 14 races. Each race was 5 kilometers long. Approximately
how many miles did Jeremy run altogether in the races? (1 kilometer
0.62 mile)
A 43 miles
B. 70 miles
C 113 miles
D
200 miles
Answer: B
Step-by-step explanation:
.25 x .22
what is the answer
Answer:
.055
Step-by-step explanation:
A circle is centered at (5, −9) and has a radius of 12. Which of the following is the equation for this circle?
Answer:
[tex]\boxed {\boxed {\sf (x-5)^2+(y+9)^2=144}}[/tex]
Step-by-step explanation:
The standard form for the equation of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where (h,k) is the center of the circle and r is the radius.
For this circle, the center is (5, -9) and the radius is 12. Therefore:
[tex]h= 5 \\k= -9 \\r=12[/tex]
Substitute the values into the formula.
[tex](x-5)^2+(y-(-9))^2=(12)^2[/tex]
Distrubute the -1 into the -9.
-(-9)= -1*-9= 9[tex](x-5)^2+(y+9)^2=(12)^2[/tex]
Solve the exponent.
(12)²= 12*12=144[tex](x-5)^2+(y+9)^2=144[/tex]
The equation for the circle with a center (5,-9) and radius of 12 is (x-5)²+(y+9)²=144
Based on the calculations, the equation of this circle in standard form is equal to (x - 5)² +(y + 9)² = 144.
The equation of a circle.Mathematically, the standard form of an equation of a circle is given by;
(x - h)² +(y - k)² = r²
Where:
h and k represents the coordinates at the center.r is the radius of a circle.Given the following data:
Coordinates (h, k) = (5, -9).Radius = 12.Substituting the given parameters into the formula, we have;
(x - 5)² +(y - (-9))² = 12²
(x - 5)² +(y + 9)² = 144
Read more on circle here: https://brainly.com/question/14078280
#SPJ2
Identify the term(s), coefficient(s), and constant(s) in the expression 9+4x^2+x/3.
Answer:
Terms: x3, 4x2, 9. Coefficients: 1, 4. Constants: 9.
Step-by-step explanation:
Answer:
Terms: addition, division, multiplication
Constants: 9 and 2
Coefficients: 4 and 3
I think these are the right answers, I am so sorry if they are wrong!!
50 POINTS AND I WILL MARK BRAINLIEST Find the volume please help
Answer:348
Step-by-step explanation:
For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of. The volume of the composite prism is then given by multiplying the whole base area by the height of the prism.In math, volume is the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. So the volume of the fish tank is 6 cubic feet.
Answer:
[tex] 1,205.8\: {ft}^{3} [/tex]
Step-by-step explanation:
Given object is made up of cylindrical and conical parts.
Fir cylindrical part:
r = 16/2 = 8 ft
h = 4 ft
For conical part:
r = 16/2 = 8 ft
h = 6 ft
Volume of the object = Volume of cylinderical part + Volume of the conical part
[tex] = \pi {r}^{2} h + \frac{1}{3} \pi {r}^{2} h \\ \\ =\pi \times {8}^{2} \times 4 + \frac{1}{3} \times \pi \times {8}^{2} \times 6 \\ \\ = 64\pi \times 4 + \frac{1}{ \cancel3} \times 64\pi \times \cancel6 \\ \\ = 64\pi(4 + 2) \\ \\ = 64\pi \times 6 \\ \\ = 384\pi \\ \\ = 384 \times 3.14 \\ \\ = 1,205.8 \: {ft}^{3} [/tex]
MATH PROBLEM PLEASE HELP I HAVE THE PIC OF THE PROBLEM I WILL GIVE YOUI BRAINLIEST
Answer:
79.4
Step-by-step explanation:
(85+90+68+75+79) / 5 =79.4
Olivia has a shoe box in the shape of a rectangular prism. She decorates 4 faces of the box, leaving the top and the bottom without decorations. The unshaded parts of the model and the diagram below the parts that she decorates. What is the total area that Olivia decorates?
Answer:
440
Step-by-step explanation:
Taking the test!
Good luck, buddy!
Answer:
B
Step-by-step explanation: 400 or 4ft x 10ft
I will give a brainlist if someone could answer this problem with a explanation:)
Answer:
Step-by-step explanation:
The two base angles in each triangle are equal. (The triangle is isoceles and the property used is angles opposite equal sides are equal).
Now the tricky part. The peak angles are also equal. That's because both peak angles are made equal by Peak angle + 2*base angle = 180
Peak angle = 180 - 2*base angle
Therefore the triangles are congruent by SAS.
I suppose you could get them equal by taking one of the base angles (all 4 are equal to each other) and the peak angles and claim equality by ASA, but it seems a little bit tortuous to me.
How many 1/3 are in 2 2/3
Answer:
8/3
Step-by-step explanation:
You have to count each third and eventually you would get 8/3.
please help, thanks :)
Answer:
D :)
Step-by-step explanation:
9y+3-4x-2y-3x-5 combine like terms
Answer:
7y-7x-2
Step-by-step explanation:
9y+3-4x-2y-3x-5
7y-7x-2
that a lot of points thx :)
you just add the numbers of the like terms togehter
Answer:
7y-2-7x
Step-by-step explanation:
Will give Brainly
Find the measure of b.
Answer:
b= 90 degrees
Step-by-step explanation:
opposite sides
Combine these radicals.
√27-√3
24
2/3
c c
-2/3
o
-342
(I know it’s no C)
Answer:
2[tex]\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{27}[/tex] = [tex]\sqrt{9}[/tex][tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]
3[tex]\sqrt{3}[/tex] - 1[tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex]
Answer:
B i got it right trust me i got 100
Step-by-step explanation:
which equation represents the graphed function?
Answer:
[tex]\frac{3}{2}[/tex] x - 3 = y
Step-by-step explanation:
The answer is the third equation.
This is because the y-intercept is -3 and the x-intercept is at (2,0) (you can find the x-intercept by making "y" = 0). The only equation that has both of these is the third one.
Just answer Number 5, I got the rest.
Any spam will be reported/deleted.
Answer:
30
Step-by-step explanation:
so one of them is 90, one of them is 60
180-150 = 30
so 30
Read Out
Loud
Angus cut his neighbor's lawns for the summer. By the end, he
had $240 in his lawn cutting bank account after paying a total
of $60 for gas.
He earned $6 for every lawn he mowed in his neighborhood.
How many yards did he mow?
Select the expression that represents the problem above
a) (240 - 60) + 6
b) 240 + 60 x 6
c) 240 +60 - 6
d) (240 + 60) + 6
2
A
5
Answer:
pov: im getting free points
Step-by-step explanation:
find the quotient
18 ÷ 3/10
Answer: 18 ÷ 3/10 = 60/ 1 = 60
If the graph of y = Ixl is translated so that the point (1, 1) is moved to (1, 4), what is the equation of the new graph?
Answer:
y = |x| + 3
Step-by-step explanation:
The point moved up the y-axis positive 3 units.
Which of the following best forms the figure shown?
2 angles that meet at an endpoint
2 lines that meet at an endpoint
2 line segments that meet at an
endpoint
2 rays that meet at an endpoint
My Procluess >
Answer: 2 rays that meet an endpoint
(3 x 10^6) + (2.1 x 10^5) + (1.6 x 10^4) / (2 x 10^2)
Solve: 33 + 27 ÷ 9 + (30 ÷ 5)
Answer:
42
Step-by-step explanation:
You need to follow P--E--M--D--A--S
A X U I A U
R P L V D B
E O T I D T
N N I T I R
T E P I T A
H N L O I C
E T I N O T
S S C N I
I A O
S T N
I
O
N
PLEASE HELP IT IS DUE TODAY!!Alicia drew a map of Texas. in the scale Alicia used for the map 1/2 inch represents 20 miles. What is the distance between two cities on the map of the actual between the two cities is 360 miles please help me :( Thank you
Answer:
9in on the map
Step-by-step explanation:
1/2in=20m or 1in=40m
360/40=9
9in
Plz help I am timed : (
Christian earned a 70, 89, 91, and 82 on his last four
spelling tests. What was Christian's average for these four
tests?
OA) 81
OB) 82
OC) 83
OD) 84
Answer:
its c or 83 bc you add them all together then divide by the amount of grades he has in total
find a fraction equivalent to 1/2
Answer:
50/100
Step-by-step explanation:
it is a half becaus 50 is half of 100 1 is hal of 2
3 : 7 = 300 : x fill in the x for the equivalent ratios
Answer: 300:700
Step-by-step explanation:
If you have a 3:7 ratio and you multiply the 3 by 100, you would also have to multiply the 7 by 100, giving you a 300:700 ratio. Plz note I could be wrong but I believe that is the answer you are looking for
