Answer:
Step-by-step explanation:
Given that:
mass m = 100 g = 0.1 kg
Length of the spring = 5 cm = 0.05 m
The set in motion from the equilibrium position u(0) = 0
The set in motion from its equilibrium position with a downward velocity u'(0) = 50 cm/s = 0.5 m/s
The spring constant (k) = [tex]\dfrac{0.1 \times 9.8}{0.05}[/tex]
The equation of the system is expressed as:
[tex]\dfrac{1}{10} u'' + \dfrac{98}{5} u =0[/tex]
By estimating the characteristics equation, we have r = ± 14[tex]i[/tex]
Thus; the general solution is:
[tex]u(t) = c_1cos \ 14t + c_2 sin 14 \ t[/tex]
By applying the initial condition:
u(0) = 0
⇒ 0 = [tex]c_1[/tex]
∴
[tex]\dfrac{du}{dt} = ( - c_1 \ sin 14 t )\times 14 +14c_2 \ cos 14 t[/tex]
u'(0) = 0.5
0.5 = 14 × c₂
c₂ = 0.5/14
c₂ = 1/28
∴
[tex]\mathbf{u(t) = \dfrac{1}{28} sin 14 t}[/tex]
Equating u(t) = 0, we have t = π/14sec as the time when the mass first returns to its equilibrium position.
1. Given the equation Ax + By = 600 and the x-intercept is (60,0) and the y-intercept is (0,25)
what are the values of A and B?
A =
B=
the sum of two-fifths of a number and
three-tenths of the number.
Answer:
Seven out of ten
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
2/5+3/10=4/10+3/10=7/10
(39×5) to siplifiy please help
Answer:
195
Step-by-step explanation:
you just muliply
Answer:
The answer is 175! :)
I recommend searching or creating a times table for yourself, they are incredibly handy! Easy to print off or write down. :))
Step-by-step explanation:
True or false the sum of two negative numbers is always negative explain why or why not this is true or false
Answer:
true
Step-by-step explanation:
Let's say you have -7 dollars in your bank account, and then you go and spend 5 more, which is -5, now you have -12 bucks in your account
Answer:
true!
Step-by-step explanation:
if you add negative numbers together, it will have to be negative because you are not adding positive numbers. same thing with positive numbers, if you add two positive numbers together, the sum will be a bigger positive number!
Plz help I am timed
What is the rule for this pattern?
7, 10, 5, 8, 3, 6, 1
A.start with 7 and add 3 repeatedly
B.start with 7 and subtract 5 repeatedly
C.start with 7 and alternate adding 3 and then
subtracting 5
D.start with 7 and alternate adding 5 and then
subtracting 3
Answer:
C
Step-by-step explanation:
Answer:
plus 3 minus 3
Step-by-step explanation:
5(x+2) - 3 = 2x + 7 + 3x *
One Solution
No Solution
Infinitely Many Solutions
5x + 27x - 10 = 8(4x +10)
One Solution
No Solution
Infinitely Many Solutions
Which equations has a solution of X=1.5
Please help I’m stuck on this question
Answer:
A. this is a vector, so you need a bar on top (ie not D)
Step-by-step explanation:
Brittany is selling car magnets she purchases them for 7.50 each and marks up the price by 30% how much planning to charge
Answer:
0.25
Step-by-step explanation:
i hope this helps! :]
The sum of a first and second number is 130. If the second number is 20 less than four times the first number, find the two numbers. Let x represent the first number and y represent the second number.
Write the System of Equations used to solve this problem.
The system of equations used to solve this problem are: x+y=130 and
y=20-4x. For this system x=-110/3 and y=500/3.
System of Linear Equations
System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.
You should convert the text into a math expression:
x+y=130 (1)
y=20-4x (2)
Thus, you should replace the value of y given in equation 2, into equation 1. The,
x+20-4x=130
-3x=130-20
3x=-110
x= - 110/3
Therefore, y will be:
y=20-4*(- 110/3 )
y=20+440/3
y=60/3 +440/3
y=500/3
Learn more about the system of equations here:
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Student can eat 1/8 of a pizza. If there are 24 students in David's class how many pizzas does David need
Answer: 7 boxes of pizza
Step-by-step explanation:
8x3=24
Answer:
David needs 3 pizzas.
Step-by-step explanation:
This is grammatically incorrect, but based on the information provided, I would infer that each student eats *only* 1/8 of a pizza. You would need 3 pizzas, as 3 x 8 =24.
what's the way to finding a solution?
A high school marching band has 12 flute players. If 8% of the band members play the flute, then how many members are in the entire band?
Answer:
It is 150 players
Step-by-step explanation:
You just cross multiply and divide.
8. 12
---- = -----
100. x
12×100 = 1,200
1,200 ÷ 8 = 150
Hope this helps!
to convert measurements in the metric system you can move the decimal point left or right why does this work?
Answer:
C
Step-by-step explanation:
i took the assignment
A recipe calls for 2/3 cups of sugar. I have 5 1/2 cups of sugar. How many batches can I make, assuming I have a large quantity of all other ingredients?
Answer:
8.25 batches.
(Or, if rounding to the lowest amount of batches, 8 batches)
Step-by-step explanation:
We have in total 5 1/2 cups of sugar.
And the recipe calls for 2/3 cups of sugar.
So, to find out how many batches we can make, we can divide the amount of have by the amount needed. So:
[tex]5\frac{1}{2}\div\frac{2}{3}[/tex]
Let's convert the first fraction to improper form. We have 5 1/2. So, in improper form, it will be (5(2)+1)/2 or 11/2.
Therefore:
[tex]=\frac{11}{2}\div\frac{2}{3}[/tex]
To divide fractions, we keep, change, and flip. Therefore:
[tex]=\frac{11}{2}\times\frac{3}{2}[/tex]
Multiply straight across:
[tex]=\frac{33}{4}=8.25[/tex]
So, we can make 8.25 batches.
Or, we can make 8 full batches.
DUE IN A HOUR!!!!!!!!!!
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
y=1/4x+7/4
Step-by-step explanation:
what fraction is equal to 4.5
Answer:
9/2
Step-by-step explanation:
in order to find the fraction form of 4.5... we need to set a denominator. The denominator has to be greater than 1 because we 4.5 is not a whole number...
we want the simplest denominator in the end... so we'll pick 2 for a denominator and change it if it doesn't work in the end...
now that we know the denominator... we have to make the numerator 4 times larger than the denominator (2)... when we do this... we get 8/2
since we made the numerator 4 times larger than the denominator... we know that 8/2 is the same as 4
now we need to find the remaining 1/2
this can be done by simply adding 1/2 to 8/2 (which is easily done thanks to a common denominator)
Since 9/2 cannot be simplified any further... it is our final answer
1
The middle school girl's basketball team has
9 seventh-grade students and 5 sixth-grade
students. What is the ratio of sixth-grade
students to seventh-grade students on the
team?
Answer:
ratioed by ur name
Step-by-step explanation:
What is an equation of the line that passes through the points (6, 4) and (4,1)?
Answer:
3/2 x-5
Step-by-step explanation:
Answer:
y=3/2x-5
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=1-4/4-6
m=-3/-2
m3/2
y-y=m(x-x1)
y-1=3/2(x-4)
y-1=3/2x-6
+1 +1
y=3/2x-5
8 coins are tossed simultaneously, find the chance of obtaining at least six heads
Answer:
37/256
Step-by-step explanation:
We need to use the Binomial distribution here, ask me why?
because there are only two outcomes of the experiment, heads or tails, which are complementary by nature, that is to say they are mutually exclusive and if one doesn't happen the other definitely does
p(head)+p(tail) = 1
also the trials are independent of one another, that is to say that the outcome of one toss doesn't affect the outcome of any of the other seven tosses out of 8.
and I am assuming here that the coins are all unbiased, i.e. p(head)=p(tail)=0.50
Considering all of these the possibility that we will get at least 6 heads out of 8 tosses is given by
p(head=6)+p(head=7)+p(head=8)= 8C6 (0.5)^6 (0.5)^2 + 8C7 (0.5)^7 (0.5)^1 + 8C8 (0.5) ^8
The plus sign indicates OR operator, i.e. we might get 6 heads or 7 heads or 8 heads.
where the probability mass function of the bin distn is given by
nCx p^x q^(n-x)
n= total number of trials
x= no. of success (in our case no of heads)
n-x = no of failures (no of tails in this example)
p= probability of success (p(heads)=0.5)
q= probability of failure (is equivalent of 1-p)
find the measure of 0. (to the nearest tenth).
A) 36.9
B) 38.7
C) 51.3
D) 53.1
Answer:
B) 38.7
Step-by-step explanation:
Answer:
A) 36.9
Step-by-step explanation:
took the test :)
Which is a valid proportion?
Answer:
A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.
Hello please this is kinda urgent so if you could answer really fast before 11:50 that would be great :-p-This is a school lesson on zearn no explenation needed just put the answer using /
Answer:
1 2/6 - 3/6
Step-by-step explanation:
This should be right if you are keeping the same amount but want to just change up the numbers!
Use the following information for the questionThe average travel time to work for a person living in kokomo is 17 minutes. Suppose the standard deviation of travel time to work is 4.5 minutes and the distribution of travel time follows a normal distribution. Approximately what percentage of people living in Flint have a travel time to work that is less than 12.5 minutes?A) 15% B) 25% C) 75% D) None of these.
Answer:
16%
Step-by-step explanation:
We solve using z score formula
= z = (x-μ)/σ, where
x is the raw score = 12.5 minutes
μ is the population mean = 17 minutes
σ is the population standard deviation = 4.5 minutes
z = 12.5 - 17/4.5
z = -1
Probability value from Z-Table:
P(x<12.5) = 0.15866
Converting to percentage
= 0.15866 × 100
= 15.866%
Approximately , the percentage of people living in Flint have a travel time to work that is less than 12.5 minutes is 16%
7-99 Find the missing information in each set of equivalent ratios below, using any method. Be
sure that you record your process so that others can see what you did.
2
15
100
Noo
100
Work for A
37.5
I
Work for B
87.5
0.2
2
х
11.2
Answer:
21 man
Step-by-step explanation:
u have to do the work and get the answer
BRAINLIEST AND 20 POINTE TO THE CORRECT ANSWER
A company sells promotional magnets. The pricing, in dollars, is based on the number of magnets ordered, x.
13.00x, *< 100
12.50x, x 100
Which statement is true?
A.If a customer orders less than 100 magnets, the price for each magnet is $2.50.
B.If a customer orders less than 100 magnets, the price for the total order is $250.
C.If a customer orders 100 or more magnets, the price for each magnet is $2.50.
D.If a customer orders 100 or more magnets, the price for the total order is $250.
Answer:
Honestly, I think its c. I’m really sorry if I’m wrong
Step-by-step explanation:
Answer: the answer is most likely a.
Step-by-step explanation:
Your info isn’t good enough so I had to slightly guess
-25.63+ -30.59 ??? Can someone let me know what this equals?
Answer:
= -56.22
Step-by-step explanation:
have a great day
pls mark as brainliest!
hope this helped!
Answer:
-56.22
just calculated it (:
Here is my question
Which statement can be used to classify this triangle as an isosceles triangle?
Angle F is a right angle.
Sides DE and EF are congruent.
Sides FD and DE are congruent.
Sides EF and FD are congruent.
Answer:
Sides EF and FD are congruent
Step-by-step explanation:
an isosceles triangle has two sides that are congruent and the two sides need to meet at then angle that is different from the other two base angles
Answer:
Sides EF and FD are congruent
The Equestrian club has 10 members. if the club wants to select a president, vice president, rodeo clown, and a secretary, how many ways can this be done?
Answer:
Many ways.
They can vote on it.
They can elect a council that will choose all the positions.
One person can just declare himself a position.
Find the 3 ×3 matrix that produces the described composite 2D transformation below, using homogeneous coordinates. Translate by ( −6, 3), and then scale the x-coordinate by 0.3 and the y-coordinate by 1.3.
Answer:
「0.8 0 -2
0 1.2 3
0 0 1 」
Step-by-step explanation:
The [tex]3\times 3[/tex] matrix will be "[tex]\left[\begin{array}{ccc}0.3&0&-1.8\\0&1.3&3.9\\0&0&1\end{array}\right][/tex]".
According to the question,
The [tex]3\times 3[/tex] with homogenous coordinates is:
[tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right][/tex]
Translation from (0, 0) to (a, b) will be:
[tex]T = \left[\begin{array}{ccc}1&0&a\\0&1&b\\0&0&1\end{array}\right][/tex]
Here,
a = -6b = 4Translation by (-5,4)
[tex]T = \left[\begin{array}{ccc}1&0&-6\\0&1&3\\0&0&1\end{array}\right][/tex]
Now,
Let's find the scaling matrix 5.Scale the x-coordinated by "0.3" and y-coordinates by "1.3".i.e.,
[tex]S = \left[\begin{array}{ccc}0.3&0&0\\0&1.3&0\\0&0&1\end{array}\right][/tex]
then,
The [tex]3\times 3[/tex] matrix will be:
→ [tex]A = ST[/tex]
[tex]= \left[\begin{array}{ccc}0.3&0&0\\0&1.3&0\\0&0&1\end{array}\right] \ \left[\begin{array}{ccc}1&0&-6\\0&1&3\\0&0&1\end{array}\right][/tex]
[tex]= \left[\begin{array}{ccc}0.3&0&-0.3\times 6\\0&1.3&1.3\times 3\\0&0&1\times 1\end{array}\right][/tex]
[tex]= \left[\begin{array}{ccc}0.3&0&-1.8\\0&1.3&3.9\\0&0&1\end{array}\right][/tex]
Thus the above answer is correct.
Learn more about Matrix here:
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