Using it's formula, it is found that the displacement between t= 0 and t = 1 second is of 0 m.
The equation of motion is given by:
[tex]x(t) = 4\sin{\left(\pi t + \frac{\pi}{6}\right)}[/tex]
The displacement between t= 0 and t = 1 second is given by:
[tex]d = x(1) - x(0)[/tex]
Hence:
[tex]x(1) = 4\sin{\left(\pi + \frac{\pi}{6}\right)} = 4\sin{\left(\frac{7\pi}{6}\right)} = -\frac{4}{2} = -2[/tex]
[tex]x(0) = 4\sin{\left(\frac{\pi}{6}\right)} = \frac{4}{2} = 2[/tex]
Then:
[tex]d = x(1) - x(0) = -2 + 2 = 0[/tex]
The displacement is of 0 m.
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A water tank is being filled by two inlet pipes. Pipe A can fill the tank in 4 hours, while both pipes
together can fill the tank in 2 hours. How long does it take to fill the tank using only Pipe B?
2 Hours
this is because one pipe takes 4 hours, and if both pipes take 2 hours, that is cutting the time in half, meaning both pipes pour the same amount and take the same time.
hope this is helpful!
The y-intercept of a line has the same value as its gradient. If this line cuts the curve y = [tex]x^{3}[/tex] – 2[tex]x^{2}[/tex] – 3x – 8 at x = 3, find the equation of the line.
Select one:
a. 2x − y + 2 = 0
b. 2x + y + 2 = 0
c. 2x + y − 2 = 0
d. None of these
Answer:
B. 2x+y+2+=0
Step-by-step explanation:
Given: x=3
First: you substitute for x in y=x^3-2x^2-3x-8
y=(3)^3-2(3)^2-3(3)-8
y=-8
Now all you have to do is plug y in each of the answers until you get 3 for x.
A. 2x-(-8)+2=0
2x+10=0
2x=-10
x=-5
B. 2x+(-8)+2=0
2x-6=0
2x=6
x=3
C. 2x+(-8)-2=0
2x-10=0
2x=10
x=5
Dan works in the sales department for sporting goods company. Dan gets a 15% commission on every bike he sells. If Dan sold 227 bikes at $70 each, how much money did Dan make?
i don't understand help me please math!!
Answer:
A. 315 degree
B. 6480 degree
C. 63^ over 2
D. 7^ over 4
E. 945 degree
hope it help:)
A map of a nature park has a scale of 2 inches to 1.5 miles. There are two trails that are 8 inches apart on the map. What is the actual distance between the two trails?
Answer:
6 miles
Step-by-step explanation:
2 inches : 1.5 miles
8 inches : 4(2 inches)
8 inches : 4(1.5 miles)
8 inches : 6 miles
6 miles away
-Chetan K
The actual distance between the two trails is 6 miles.
Given the scale of the map is 2 inches to 1.5 miles, we can set up a proportion to find the actual distance between the two trails.
Let x represent the actual distance between the trails in miles. The proportion would be:
(2 inches / 1.5 miles) = (8 inches / x miles)
Now, solving for x:
2/1.5 = 8/x
Cross-multiplying:
2x = 1.5 × 8
2x = 12
Divide by 2:
x = 6
So, the actual distance between the two trails is 6 miles.
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what is the answer, A, B, D, or E? Please Let me know????
Answer:
B and D
Step-by-step explanation:
B -> -1.4z multipled by 40 is - 56z, 0.7 multipled by 40 is 28, thus giving us - 56z + 28.
D -> When we expand (8z - 4)(-7) we will get -56z + 28 as 8z multipled by - 7 is - 56z (remember positive times negative equals negative) and - 4 multipled by - 7 is 28 (negative times negative equals positive)
22.68 ÷ 14.65 ayuden pliss
Answer:
1.54
Step-by-step explanation:
in the equation 3/4y+1/2=31/4 the fractional cofficient
Answer:
The coefficient is 32.
Step-by-step explanation:
I hope I have helped you if not tell me.
Please help I am stuck on this
An alloy is made with 3 gram of silver, 18 gram of copper, 6 gram of aluminium and 3 gram od zinc. Find what part of the total is used for each metal.
The angle measures of an isosceles triangle are shown. Find the value of w.
Answer:
w= 7
Step-by-step explanation:
8w + 9w - 1 + 62 = 180
17w + 61 = 180
17w = 119
w = 7
on a beautiful autumn-like day, Kamar went for a run. He ran 6 miles away from his house. Later, he began to run back towards home, a distance of 3 miles. After taking a rest, he continued to run the last 3 miles to his house.
a) How far did he run in total? ____________
b) How far from home did he end up, at the end of the day? _____________
c) When he took a rest, how far was he from home? _________
d) When he took a rest, how far had he run? __________
Answer:
A) 12 miles
B) 0 miles
C) 3 miles
D) 9 miles
Step-by-step explanation:
I tried my best.. hope it helps!
Complete the shape below so that AB is a line of symmetry
5/12 of the pupils in yr9 say their favourite colour is red. There are 180 pupils in yr9. How many students said red is their favourite colour?
Answer:
75 students
Step-by-step explanation:
180*5/12=75
what is -4(2x - 3) equal
Answer:
-8x + 12
Step-by-step explanation:
-4(2x - 3)
then -4*2x and -4*-3(an even number of negative signs multiplied equals to a positive sign)
therefore= -8x + 12
find three consectutive integers such that the sum of the second and third is -17
Answer:
-7, -8, -9
Step-by-step explanation:
-8 + -9 is -17
You want to order posters to advertise your band. A company charges $109.95 for the first 100 posters and $65 for each additional 100 posters. Write an equation that represents the total cost y (in dollars) as a function of the number (in hundreds) of posters ordered, x. Find the total cost of 1000 posters.
The equation that represents the total cost as a function of the number (in hundreds) of posters ordered, x is f(y) = 109.95 + 65x
let
y = total cost
x = numbers in hundreds
cost of first hundred = $109.95
Cost of additional hundred = $65
f(y) = 109.95 + 65x
The total cost of 1000 posters
1000 - first hundred = 900
additional hundreds = 900/100
= 9
So,
f(y) = 109.95 + 65x
= 109.95 + 65(9)
= 109.95 + 585
= 694.95
f(y) = $694.95
Therefore, the total cost of 1000 posters is f(y) = $694.95
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Find the area of this semi-circle with diameter,
d
= 60cm.
Give your answer rounded to 2 DP.
Answer:
3.14*15^2=706.5
706.5/2=353.25
Hope This Helps!!!
The area of the semi-circle with a diameter of 60 cm is approximately 1413 square centimeters.
What is the area of the semi-circle?A semicircle is formed by simply dividing a circle into exactly two halves.
Hence, the area of a semi-circle is half the area of a circle.
Area of semi-circle = 1/2 × πr²
Given the parameters:
Diameter d = 60 cm
Radius r = diameter/2 = 60/2 = 30 cm
Area =?
To determine the area of the semi-circle, plug the value of the radius into the above formula and simplify:
Area of semi-circle = 1/2 × πr²
Area of semi-circle = 1/2 × 3.14 × 30²
Area of semi-circle = 1/2 × 3.14 × 900
Area of semi-circle = 3.14 × 450
Area of semi-circle = 1413 cm²
The area is approximately 1413 square centimeters.
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If f (x)= 3x - 5 and g(x) = x^2, find (f•g)(3).
Answer:
do it got a picture
on the edge2020
Step-by-step explanation:
Solve for .
- 9x + 5 < 17
OR
13r + 25 < -1
What is the solution to -2(8x – 4) < 2x + 5?
o xs
oxca
O x>6
O x<6
[tex]-2(8x-4)<2x+5\\\\\implies -16x+8<2x+5\\\\\implies -16x+8-5<2x\\\\\implies 3<2x+16x\\\\\implies 3<18x\\\\\implies \dfrac3{18} <x\\\\\implies \dfrac 16 <x\\\\\implies x> \dfrac 16[/tex]
Based on the graph below, f(x) and g(x) where g(x) =f(x)+h are shown
Answer:
The value of h is 5
Step-by-step explanation:
Remember the if two lines are parallel and one is taller than the other and is asking for what that is the difference it is the y-intercept or what you call in this problem "h" since h is 5 digits above the answer is 5
What is the answer to 2(2x-5)
Answer: The answer is 4x - 10.
Explanation: The explanation is in the image. The explanation is showing using the distributive property to multiply 2 by 2x - 5.
Answer:
4x-5
Step-by-step explanation:
pls help me pls help me pls help me
Answer:
d. 210
Step-by-step explanation:
well for the first textbook you have 7 options
for the 2nd placeholder you have 6 options
and the 3rd you have 5
so its 7x6x5 which is 210 different combinations
thx for 50 points :D
4. Para el siguiente triángulo rectángulo, encuentra la medida del lado desconocido.
What is the maximum point OR minimun point of this equation?
y = 1.8 ( x + 2.4 ) 2 + 2.4
Thanks for ur help!!!!!!!!
Ayo runs a fairground game.In each turn, a player rolls a fair dice numbered 1 - 6 and spins a fair spinner numbered 1 - 12.It costs a player £1.40 for a turn.A player can win £6 or £3 as in the diagrams:If 216 people are to play, how much profit can Ayo expect to make?
Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.
The expected value is given by the sum of each outcome multiplied by it's respective probability.
In this problem:
The player wins $6, that is, Ayo loses £6, if he rolls a 6 and spins a 1, hence the probability is [tex]\frac{1}{6} \times \frac{1}{12} = \frac{1}{72}[/tex].The player wins $3, that is, Ayo loses £3, if he rolls a 3 on at least one of the spinner or the dice, hence, considering three cases(both and either the spinner of the dice), the probability is [tex]\frac{1}{6} \times \frac{1}{12} + \frac{1}{6} \times \frac{11}{12} + \frac{5}{6} \times \frac{1}{12} = \frac{1 + 11 + 5}{72} = \frac{17}{72}[/tex]In the other cases, Ayo wins £1.40, with [tex]1 - \frac{18}{72} = \frac{54}{72}[/tex] probability.Hence, his expected profit for a single game is:
[tex]E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583[/tex]
For 216 games, the expected value is:
[tex]E = 216(0.2583) = 55.8[/tex]
Ayo can be expected to make a profit of £55.8.
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Find the value of x, y, and z.
Marlee had a certain amount of money (x) in her bank
account. She deposited $60.00 from her grandmother
for her birthday. She then spent of the money in her account on rent that totaled $550. Which equation represents this situation?
Answer:
x-490=t
Step-by-step explanation:
Marlee has x money
She deposited $60 meaning adding $60 to the bank
So x+60
THen Marlee need to withdraw $550 from her bank to rent
So the equation is now
x+60-550
60-550 is -490
Thus:
x-490
(I will represent (t) as the money she has left for the equation)
Thus the equation is
x-490=t
Hope this helps!
will give brainliest
Answer: x > − 4
Step-by-step explanation: Divide each term in − 4 x < 16 by − 4 and simplify.
(Try to solve b. and c. with only these resources and if you still need help, let me know.)