Answer:
[tex]The \ vertica \ position \ of \ the \ carousel,\ v = 11 \times sin \left (\dfrac{\pi}{2} \times \left (\dfrac{t}{4} -1\right)\right )[/tex]
Step-by-step explanation:
The parameters of the motion on the carousel are;
The time it takes the carousel to make one complete revolution, T = 16 seconds
The distance Han is sitting from the center = 11 feet
The motion of the carousel can be given by the equation of sinusoidal motion as follows;
v = a·sin(ω·t + c)
Where;
a = The amplitude of the sinusoidal motion = Han's distance from the center = 11 feet
ω = The angular velocity
t = Han's time in motion =
ω = 2·π/T = 2·π/16 rad/s
c = The phase shift
v = The vertical position of the carousel
Given that at the starting point when t = 0, y = minimum, therefore, sin(ω·t + c) = sin(ω×0 + c) = sin(c) = minimum = -1
c = arcsin(-1) = -π/2 we have
Therefore, when time after the carousel starts moving = t second, we have;
The vertical position of the carousel in feet, v = 11·sin((π/8)·t) - π/2) = 11×sin((π/2)·(t/4 - 1))
7. George has some quarters and some dimes. He has 6 more dimes than quarters and all of
the coins he has are worth $3.05. How many dimes and quarters does George have?
Answer:
the answer will be 18 ohkay but they will eill have more dimes than quarters
Answer:
Please the answer from the other user is completely wrong, the real answer is 7 quarters and 13 dimes
Step-by-step explanation:
0.1 (x+6) + 0.25x = 3.05
0.35x = 2.45
x = 7
therefore,
7 quarters
x+6 dimes = 13 dimes
PLEASE GIVE BRAINLIEST
Solve the equation.
5x + 6 = 2x – 3
Answer:
x = -3
Step-by-step explanation:
5x + 6 = 2x – 3
5x-2x+6=-3
3x=-9
x=-9/3
x=-3
What are the center and radius of the circle defined by the equation
x2 + y2 - 6x+8y +21= 0 ?
Answer:
the center is (3, -4) and the radius is = 2
Step-by-step explanation:
HELP PLSS
Write the percent as a fraction and as a decimal.
3/15%
Answer:
0.2% and 1/5%
Step-by-step explanation:
Hope this helps
Answer:
0.2% is the answer as decimal.
3/15/100
3/15*1/100
3/1500
1/500( as fraction)
Step-by-step explanation:
Which of the following measurements must be accurate when used in a grocery store? Check all that apply.
i am little bit confused
but according to me
C and D must be right
hope this is helpful
u cant have 3 answers on a question
Answer:
true, unless its a check all that apply and then you can have multiple!
Step-by-step explanation:
hope this helps :)
T^T T^T T^T T^T T^T HELP please?
Applying the Pythagorean theorem, solve this triangle.
Answer:
Step-by-step explanation:
using pythagoras theorem
h^2=p^2+b^2
3^2=q^2+2^2
9=q^2+4
9-4=q^2
5=q^2
[tex]\sqrt{5}[/tex] =q
in a fruit basket there were 24 oranges and the rest were lemos if 20% of fruits were lemons how many fruits were there altogether
FAST
Answer:30
Step-by-step explanation:
Determine the largest integer value of x in the solution of the following
inequality.
3x – 7 < -2
Answer:
The largest value of x will be [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
[tex]3x-7<-2[/tex]
[tex]3\frac{5}{3}-7<-2[/tex]
[tex]\frac{15}{3} -7<-2[/tex] Always multiply whole number then numerator
[tex]5-7<-2[/tex] Statement is false so that means x has to be less than 5/3
So the largest value of x will be [tex]\frac{4}{3}[/tex]
6 inches is cut from a piece of wood measuring 15 yards. How long is the
remaining piece of wood, in inches?
Answer:
there are 534 inches pieces of remaining wood left.
Step-by-step explanation:
If we convert 15 yards into inches. it would be 540 so you just have to subtract 540 - 6 and that will give you 534.
An item is regularly priced at $31 . It is on sale for 65% off the regular price.
Answer:
$10.85
Step-by-step explanation:
31 * .65 = 20.15
31 - 20.15 = 10.85
What do cos and sin mean?
Answer and Step-by-step explanation:
These two terms (pronounced as Sine and Cosine) are used to solve for the sides and angles of a triangle in Trigonometry.
They are functions revealing the shape of a right triangle.
Sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle, to the length of the longest side of the triangle.
Cosine is also a trigonometric function of an angle. The cosine of an angle is the relation of the length of the side that is adjacent that angle, to the length of the longest side of the triangle.
#teamtrees #PAW (Plant And Water)
PLEASE HELP WHATS THE VOLUME
Step-by-step explanation:
shapes are a pyramid and rectangular prismfinding volume of pyramid
[tex] \frac{1}{3} (12 \times 18)(13) \\ \frac{1}{3} (216)(13) \\ \frac{1}{3} (2808) \\ 936 {ft}^{3} [/tex]
volume of the rectangular prism
[tex](12)(18)(11) \\ (216)(11) \\ 2376 {ft}^{3} [/tex]
volume of the shape
[tex]936 + 2376 \\ 3312 {ft}^{3} [/tex]
Please help no links
Answer:
x=11
Step-by-step explanation:
These add up to 180 since a straight line = 180 degrees
Your equation is: 4x+15+11x=180
15x+15=180
15x=165
x=11
Answer:
X=11
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
4x+15+11x=180
15x+15=180
180-15=165
165/15=11
X=11
What happens when we have two lines that are
NOT parallel to each other?
They will meet at a point.
They will never meet.
Hi there!
»»————- ★ ————-««
I believe your answer is:
"They will meet at a point."
»»————- ★ ————-««
Here’s why:
For any set of parallel lines given, they will never intercept because of the same slope that they share. This means that if the slopes are different (if the lines are not parallel), they will eventually have a point of intersection.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Draco and his friends bought Bertie Bott's Every Flavor Beans for $3 per packet and chocolate frogs for $1 per packet at Honeydukes. They spent a total of $54 to buy a total of 36 packets of Beans and frogs.
Part A: Write a system of equations that Draco can solve to find the number of packets of Bertie Bott's Every Flavor Beans and the number of packets of chocolate frogs that he and his friends bought at Honeydukes. Tell what the variables used in the equations represent. (5 points)
Part B: Solve the system of equations from Part A to find out how many packets of chocolate frogs and Bertie Bott's Every Flavor Beans Draco and his friends bought and write the answer in (x, y) form. Tell which method you used to get the answer, and explain why you selected that particular method to get the answer.
Answer:
Part A: x + y = 36, 3x + y = 54
Part B: (9, 27), I used subtraction to solve the system, because it eliminated the "y" value, so it would be easiest to solve.
Step-by-step explanation:
Amount of Bean Packets: x
Amount of Frogs: y
We are given that:
x + y = 36
3x + y = 54
This is the answer to answer A.
To solve, use subtraction. Subtract:
3x + y - (x + y) = 54 - 36
3x - x + y - y = 18
2x = 18
x = 9
Substituting x = 9 into x + y = 36, we find that y = 27
In (x, y) form, substitute x = 9 and y = 27 to get (9, 27)
I used subtraction to solve the system, because it eliminated the "y" value, so it would be easiest to solve.
I NEED HELP! I'll make brainliest!
The ages of 10 boys are listed below.
7, 6, 8, 6, 8, 7, 8, 7, 8, 6
Which of the following best describes the data?
1.The data have range 2, and are otherwise unrelated.
2.The data are evenly distributed, with mean 7.1.
3.The data contain outliers, so the mean is not the best measure.
4.The data have no mode.
Answer:
the data has 2 range
Step-by-step explanation:
you can subtract the largest number with the smallest
Answer:
Step-by-step explanation:
The data are evenly distributed with a mean of 7.1
Which equations are equivalent to his weekly addition of 0.5 km and would correctly determine how many weeks it will take Hector to reach 10 km if he starts at 2.5 km and adds 0.5 km every week? Select all that apply. 0.5x + 2.5 = 10 0.5 – 2.5 = 10x 10 = 2.5 + 0.5x 2.5x + 0.5 = 10 2.5x – 0.5 = 10
Answer:
C. 10 = 2.5 + 0.5x
Step-by-step explanation:
A. 0.5x + 2.5 = 10
B. 0.5 – 2.5 = 10x
C. 10 = 2.5 + 0.5x
D. 2.5x + 0.5 = 10
E. 2.5x – 0.5 = 10
Total distance Hector covers = 10 km
Distance he has covered = 2.5 km
Distance he covers per week = 0.5 km
Let
x = number of weeks
The equation is given by
2.5 + 0.5x = 10
It can also be written as:
10 = 2.5 + 0.5x
10 - 2.5 = 0.5x
7.5 = 0.5x
x = 7.5/0.5
x = 15 weeks
Answer:
A and C
0.5x + 2.5 = 10
10 = 2.5 + 0.5x
Step-by-step explanation:
hope this helps!
find the missing sides of the triangle
Answer:
b. u=13√2 , v=13
Step-by-step explanation:
________
Answer:
u=13[tex]\sqrt{2}[/tex] and v=13[tex]\sqrt{2}[/tex]/2
Step-by-step explanation:
Which of the following best estimate the sum 1/2+1/3
Answer:
5/6
Step-by-step explanation:
what you do first is find the common denominator
so that would be:
3/6 + 2/6
then you would add them
so that would be:
3/6 + 2/6 = 5/6
and 5/6 is your answer
Solve the equation below 8x - 2 (x + 5) = 2 (x - 1)
Answer:
x = -3
i explained it in the picture
help me please (Math)
Answer:
x = 7
Step-by-step explanation:
Exterior angle thm:
4x + 12 + 7x + 12 = 101
11x + 24 = 101
11x = 101 - 24
11x = 77
x = 7
Solve the system of equations and choose the correct answer from the list of options.
d + e = 1
- d + e = - 5
Label the ordered pairs as (d,e)
1) (0,0)
2) (3, -2)
3) (-2, 3)
4) (-3, 0)
Answer:
2) (3, -2)
Step-by-step explanation:
d + e = 1
- d + e = - 5
__________+
0 +2e = -4
e = -4/2 = -2
d = 1-(-2) = 3
so, (d, e) => (3, -2)
Is the point (1,3) inside, outside the circle
Step-by-step explanation:
what is the center of the circle !
hey can yall please help me its 4'1 minuse 1'10
In other words, it's 2 feet, 3 inches
=================================================
Work Shown:
Convert the 4'1" to purely inches only
4'1" = 4 ft, 1 inch
4'1" = 4 ft + 1 inch
4'1" = 48 inches + 1 inch
4'1" = 49 inches
Note how 4 ft = 4*12 = 48 inches
-------------------
Through similar steps, you should find that 1'10", aka 1 ft 10 inches, is equivalent to 22 inches
Subtracting the two quantities gets us
(4' 1") - (1' 10") = (49 inches) - (22 inches) = 27 inches
Now convert that to the format "feet,inches".
27 in = 24 in + 3 in
27 in = (24/12 ft) + 3 in
27 in = 2 ft + 3 in
27 in = 2 ft, 3 in
27 in = 2' 3"
sam has a rope that is 38 feet long. He cuts the rope into 2 pieces. One piece is 1.5 feet long .
How long is the other piece?
Answer:
36.5 feet long.
Step-by-step explanation:
38-1.5 is equal to 36.5, you subtract to find the other number, therefor one piece is 1.5 feet long and the other is 36.5 feet long.
Answer:
36.5 feet long
Step-by-step explanation:
38 - 1.5
= 36.5
8n + -3n = (8 + -3)n is an example of what property?
Answer:
this is distributive property.
Step-by-step explanation:
a(c+b)=ac+ab
ILL MARK BRAINLIEST HELP PLEASE!!
The function y=x+7 is graphed in the coordinate plane. Which point will not be on the line?
O (2.14)
O (12, 19)
O (0.7)
O (9.16)
If you help ill give you some of my banana milk...
Given:
The function is:
[tex]f(x)=4x^2-25x-21[/tex]
To find:
The domain of the given function.
Solution:
Domain is the set of input values.
We have,
[tex]f(x)=4x^2-25x-21[/tex]
It is a quadratic polynomial.
We know that a quadratic polynomial is defined for all real values of x. So, the given function is defined for all real values of x and the domain of the given function is:
Domain = Set of all real number
Domain = (-∞,∞)
Therefore, the correct option is B.
What is the measure of A in the given figure?