A mass of 100 g stretches a spring 5 cm. If the mass is set in motion from its equilibrium position with a downward velocity of 50 cm/s, and if there is no damping, determine the position u of the mass at any time t. (Use g = 9.8 m/s2 for the acceleration due to gravity. Let u(t), measured positive downward, denote the displacement in meters of the mass from its equilibrium position at time t seconds). What does u(t) equal?When does the mass first return to its equilibrium position? (What does t in seconds equal?)

Answer:

= -56.22

Step-by-step explanation:

have a great day

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hope this helped!

Answer:

-56.22

just calculated it (:

Answer:

y=1/4x+7/4

Step-by-step explanation:

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!

Answer:

C

Step-by-step explanation:

Answer:

plus 3 minus 3

Step-by-step explanation:

Answer:

21 man

Step-by-step explanation:

u have to do the work and get the answer

Answer:

ratioed by ur name

Step-by-step explanation:

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

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:

brainly.com/question/384631

#SPJ2

Answer:

B) 38.7

Step-by-step explanation:

Answer:

A) 36.9

Step-by-step explanation:

took the test :)

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,

Translation by (-5,4)

[tex]T = \left[\begin{array}{ccc}1&0&-6\\0&1&3\\0&0&1\end{array}\right][/tex]

Now,

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:

https://brainly.com/question/9035564

Answer:

A. this is a vector, so you need a bar on top (ie not D)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i took the assignment

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)

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:

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.

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!

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

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!

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

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%

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

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

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.

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.

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.

Answer:

0.25

Step-by-step explanation:

i hope this helps! :]