The motion of the mass as it moves on the bottom of the spring is a
repetitive motion.
[tex]\mathrm{The \ motion \ of \ the \ mass \ attached \ to \ the \ spring \ is \ }\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]Reasons:
The general form of the equation of the simple harmonic motion of the
mass is d = a·sin(ω·t)
Where;
d = The distance of the mass from the rest position
a = The maximum displacement of the mass from the equilibrium position = 6 cm
ω = The frequency of rotation
t = The time of motion
ω = The frequency of rotation
[tex]\displaystyle \omega = \mathbf{\frac{2 \cdot \pi}{T}}[/tex]
Where;
T = The time to complete one cycle (the period of oscillation) = 4 seconds
[tex]\displaystyle \omega = \frac{2 \cdot \pi}{4} = \frac{\pi}{2}[/tex]
Combining the above values gives the modelling equation as follows;
[tex]\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]
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The diagram shows 5 triangles. All lengths are in centimetres. Which two triangles are congruent to each other
Answer:
It should be A & D
Step-by-step explanation:
These two are the only ones that have the exact same numbers on all three sides. They are congruent based on SSS.
GIVING BRAINLIEST
A submarine is traveling along the surface of the ocean when they spot a pod of dolphins ahead. To avoid the dolphins, the submarine will dive and travel through the ocean. If the submarine wants to be 1.1 nautical miles below the dolphins after traveling 2.5 nautical miles, what dive angle must the submarine make? Write only the number rounded to the nearest angle.
Answer:
26 degrees
Step-by-step explanation:
The attached image shows how I interpret this question, and I assume you're meant to use trigonometry to solve.
From the perspective of the angle, we have a relationship between the opposite side, the hypotenuse, and the angle. Because the 2 sides are the opposite and the hypotenuse, we need the sine function, and because the angle is the unknown, we need the inverse sine function.
(soh cah toa)
[tex]sin(x)=\frac{opposite}{hypotenuse}\\\\sin^{-1}(\frac{opposite}{hypotenuse})=x[/tex]
Now, just plug in the 2 known values and solve for the unknown:
[tex]sin^{-1}(\frac{1.1}{2.5})=x\\\\sin^{-1}(0.44)=x\\\\x=26.1039[/tex]
The angle is 26 degrees, and you can check that by doing it in reverse:
[tex]sin(26.1039)=\frac{1.1}{2.5}\\\\sin(26.1039)=0.44\\\\0.44=0.44[/tex]
help plssah
answer the question...
Answer:
2
Step-by-step explanation:
Teddy
1House A is twice as tall as House B. How tall is House B?
House
Height (ft)
A
24
B
Answer:
12
Step-by-step explanation:
House A is 24. So divide it by two to get 12. Which is house B
Jasmine is reading a book. She has finished 23 of the book and has 56 pages left to read. How many pages has she read
Answer:
She would have 33 more pages left.
Step-by-step explanation:
You would want to subtract 23 from 56.
What is an equation of the line that passes through the points (-4, 2) and (-8, -3)
Answer:
a line through (-4,2) and (-8,-3) has slope = (2+3)/(-4+8) = 5/4 = (y-2)/(x+4)
cross multiply
5x +20 = 4y-8
5x -4y =-28
Step-by-step explanation:
Which function represents a translation of the graph of v=x^2
by 10 units to the left?
O A. v=x^2+10
O B. v=(x+10)^2
O C. y=10x^2
O D, y=(x-10)^2
Answer:
B.
Step-by-step explanation:
That would be y = (x +10)^2.
simplify √5(8+3√6)
I cant figure this problem out can someone help me?
Which of the following fractions is less than 1
options: a) 1 1by4 b) 3/4 c) 5/4 d) 2 3by4
Answer:
B
Step-by-step explanation:
11/4=2.75
3/4=0.75
5/4=1.25
23/4=5.75
Answer:
3/4
Step-by-step explanation:
Proper fractions are less than 1
3/4 is proper fraction.(Numerator less than denominator)
[tex]\dfrac{5}{4}=1\dfrac{1}{4}[/tex]
Troy studies porcupines and wants to estimate the population in a certain region. Troy catches 36 porcupines, marks them, and releases them. Then later, Troy catches 450 porcupines and observes that 18 of them are marked. To the nearest whole number, what is the best estimate for the porcupine population?
A Group of scientists caught and tagged porcupines=140 A week later the scientists counted the porcupines=180
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answer:
slope= 1/4
Step-by-step explanation:
8-5 over 8-(-4)= 3/12=0.25 = 1/4
can you please help me
Answer:
i think it's the 6th option
Step-by-step explanation:
PLEASR HELP MEEEE ASAP
Answer:
A: Yes, I agree. Why? Because if you look at the shape, its a triangle right, and a triangle both sides are equal, while the bottom line is not. But because both sides are equal, and half of the triangle is MPN and the other side is QPN, they both are congruent (or equal to)
B: Like I said, both MPN and QPN are both equal, and if you remove the P, it would still be the same because the shape has not changed.
I hope I helped :)
HELP PLEASE!!!! FASTT
Answer:
Domain (-3,-2,-1,0,1,2)
Range (-2,0,1,2,3)
This is not a function
Step-by-step explanation:
Domain (-3,-2,-1,0,1,2)
Range (-2,0,1,2,3)
one x-value with two y-values, (-1, 2) and (-1, -2)
not a function
Plotting the graph should be easy
left side are x-values
right side are y-values
(i) Find i in terms of P and A.
(ii) If 2500 is invested 3 years ago has a present value of 2650, find the rate of interest, i (correct to one decimal place)
Answer:
See belowStep-by-step explanation:
Given formula:
[tex]A=P(1+i/100)^3[/tex](i)
Solve for i:
[tex]A/P=(1+i/100)^3[/tex][tex]\sqrt[3]{A/P}=1+i/100[/tex][tex]\sqrt[3]{A/P} -1=i/100[/tex][tex]i=100(\sqrt[3]{A/P} -1)[/tex](ii)
P = 2500, A = 2650, find i:
[tex]i =100(\sqrt[3]{2650/2500} -1)[/tex]i ≈ 2.0%When finding the margin of error for the mean of a normally distributed population from a sample, what is the critical probability, assuming a confidence level of 86%? 0. 14 0. 86 0. 93 0. 99.
The critical probability assuming a confidence level of 86% is;
Option B; 0.86
We are given the confidence level as 86%. This means that the probability of the mean of the normally distributed population being true is 86%.
This means that the critical probability is the value of z at 86% or 0.86
So when we find the value of z at that value, we will use it to get the margin of error.
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If two line are perpendicular which statement is true
Harley downloads 8 games the total amount of available memory used for the games 57.2 gigabytes
Answer:
each game takes up 7.15 gigabytes (assuming each game takes up the same amount of storage.
Step-by-step explanation:
57.2 divided by 8 is 7.15
can someone lease tell me the answer to this question i'm abt to ask? what is 1 + 1/4?
Answer:
1 1/4 or 5/4 or 1.25
Step-by-step explanation:
Factor (x^2-9) (x^2-16)
Answer:
( x - 3 )( x + 3 ) ( x - 4 )( x + 4)
Step-by-step explanation:
( x^2 - 9 ) ( x^2 - 16 )
( x - 3 )( x + 3 ) ( x - 4 )( x + 4)
Hopefully this helps!
Brainliest please?
[tex](x^2 -9)(x^2 -16)\\\\=(x^2 -3^2)(x^2 -4^2)\\\\=(x+3)(x-3)(x+4)(x-4)[/tex]
expand and simplify (x-2)(x-3), please help
Answer:
hope it helps you
(•‿•).........
12 people sharing an 8 gummy worm pieces how much per person will get equally show two ways
Which of the following transformation sequences will produce similar, but not congruent, figures?
Answer:
The selected choice (#2) is correct
Step-by-step explanation:
Any rigid transformation (moving a figure, rotating it, flipping it around will leave the transformed figure congruent with the original. Scaling it (=dilating it) will generate a new figure what is similar to the original: angles remains the same but sides are in proportion.
or
Find the slope of the line
y
=
9
5
x
−
9
5
.
Answer:
Step-by-step explanation: 56776
You have 2\3 of a pizza left from yesterday. You divide it into 4 equal pieces. What fraction of the pizza is each piece?
Step-by-step explanation:
that means we divide 2/3 by 4.
2/3 / 4 = 2/3 / 4/1 = 2/3 × 1/4 = 2/12 = 1/6
so each quarter of the remaining 2/3 pizza is actually 1/6 of the complete pizza.
HURRY I NEED IT FOR 3rd GRADE MATH
Whats 73 + 82
Answer:
155
Step-by-step explanation:
Answer: 155
Step-by-step explanation:
73
+82
155
what is 0.3% of 200
A rental car agency charges $220.00 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $380.00?
40 miles per week
Step-by-step explanation:
380-220 = 160÷4 = 40
You can travel 320 miles in one week for $320 miles.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
A rental car agency charges $220.00 per week plus $0.25 per mile to rent a car.
If the amount is $380.
Then, 380 - 220 = 160
And 160 divided by 0.5,
= 160/0.5
= 320 miles.
Therefore, the required distance is 320 miles.
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50 POINTS! The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term?
The common difference d is
(41–11) / (10–5) = 6.The first term is
11 - 6(5–1) = -13.so , the first term is -13
Answer:
-13Step-by-step explanation:
The fifth term:
[tex]a_5=a+4d = 11[/tex]The 10th term:
[tex]a_{10}=a+9d=41[/tex]Subtract side-by-side and find d:
9d - 4d = 41 - 115d = 30d = 6Find the first term:
a = 11 - 4*6 a = 11 - 24a = - 131. Subtract the linear expressions.
(45x−5)−(13x+4)
What is the difference?
Enter your answer in the box. Enter fractions as simplified fractions.
2. Add the two expressions.
−2.4n−3 and −7.8n+2
Enter your answer in the box.
3. Subtract the linear expressions.
(−3.6x+9.4)−(1.9x+3.6)
What is the difference?
Enter your answer in the box.
4. Subtract 5x−2 from −3x+4 .
A.2x + 2
B.8x−6
C.−8x+6
D.−8x+2
Please try and put the correct answers.
If all correct I will mark them brainilest
[tex](1)\\\\(45x -5) -(13x +4) = 45x-5-13x -4 = 32x -9\\\\\\(2)\\\\-2(4n) -3 + (-7)(8n) +2 = -8n-56n -1 = -64n -1 = -(64n+1)\\\\(3)\\\\(-3.6x+9.4) - (1.9x +3.6) = -3.6x +9.4 -1.9x -3.6 =-5.5x+5.8\\\\\\(4)\\\\-3x+4-(5x-2) = -3x+4-5x +2=-8x +6[/tex]