Answer:
(1 cm)cos3πt
Step-by-step explanation:
Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft
where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.
Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations = 2 s
So, f = 3/2 s =1.5 /s = 1.5 Hz
Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm
h = Acos2πft
= (1 cm)cos2π(1.5Hz)t
= (1 cm)cos3πt
The measures of three of the interior angles of a quadrilateral are 60o, 110o, and 90o What is the measure of the fourth angle of this quadrilateral?
Answer:
100 degrees
Step-by-step explanation:
sum of angles in a quadrilateral = 360
missing angle = 360 - (60 + 110 + 90) = 100
The mean numberr of stereos sold per day at the store was 15 over a period of 7 days which statement must be true about the stereo sales at the store
Answer:
well I don't know the options, but I do know that 105 would have been sold in a week.
Step-by-step explanation:
15 x 7 = 105
No links! Please!!
Factor 28x+12y using the GFC
Answer:
4(7x + 3y)
Step-by-step explanation:
28x+12y using GCF(greatest common factor)
gcf = 4
4(7x + 3y)
Answer:
4(7x+3y)
Step-by-step explanation:
28x+12y
Factor out the greatest commom factor "4"
4(7x+3y) is the answer
Which function has a graph with
x-intercepts of (-2, 0) and (7,0)?
The photo is the answers
If kobe had 30 girls and Shaq had 20 girls... How many more girls does Kobe have than Shaq?
Answer:
10 more shawties
Step-by-step explanation:
30-20 = 10
ANSWER ASAP ILL GIVE BRAINLIEST
Answer: C
Step-by-step explanation: There are 9 cards. 3 are vowels. 3/9 reduces to 1/3
Help me please. I don't understand this.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Apparently, you're being asked to identify the sequence of steps you would use to compute the volume of the pyramid.
It seems to be a good idea to start with the formula for the volume.
Then, recognize that you need to compute B, so make that computation. The area of the base (B) is the product of the base dimensions (14)(12).
Once you have the value of B, then you can put that, along with the value of h, into the original volume formula.
Evaluating it gives the volume in cubic units.
_____
Additional comment
If you're familiar with the pyramid volume formula, you know that you must compute B before you can make use of the formula. That makes the sequence be B=14(12); B=168; V=1/3Bh; V=1/3(168)(7).
However, if you're starting from scratch, it is probably good to begin with the volume formula. That is what tells you that you need to find B in the first place. This is the sequence we show below.
Help me grade 9! Thankyou
Answer:
got ya
Step-by-step explanation:
MARKED BRAINLIEST!!!
Answer:
(3,-4)
Step-by-step explanation:
Sorry if it is wrong
What is 714.29+98.65
Answer:
812.94
Step-by-step explanation:
make sure to line up the decimal to each other to make sure the decimal is in the right place
Please answer this!!! No links !!!
the probability of landing on blue when spinning a spinner is 4/5 choose the likelihood that best describes the probability of this even
Answer:
the answer is d. likely
Step-by-step explanation:
Alexi’s restaurant bill is $58, and he wants to leave a 20 percent tip. Which expression represents the total amount that Alexi needs to pay?
58 dollars (0.20) + 58 dollars
58 dollars (0.20)
58 dollars (20)
58(20) + 58
Answer:
The Answer is A
Step-by-step explanation:
58(0.2) = 11.6 + 58 = 69.6
it's a
now have a nice DaY
I need help and fast
B it is B not c or a it is b
What does it mean when we refer to Jesus as being a person who proved to be “Counter-Cultural?”
Which of the following equations represents this statement
Answer: 5n = 35
Step-by-step explanation:
The product of a number n and the number 5 is 35. This statement can be formed into an equation as:
n × 5 = 35
5n = 35
The equation is 5n = 35
If we want to get the value of the number, it'll be:
5n = 35
n = 35/5
n = 7
The number is 7
PLEASE HELP ME!!!!!!!
Answer:
I think 26 for the quadrilateral on the 2nd page
Step-by-step explanation:
8 + 4 + 4+ 10
8 is on the top and 4 is on both sides just the right is angled differently and the bottom i think 10...IM SORRY IF YOU GET T WRONG I TRIED MY BEST!!!!!!
Help I'll give Brainly
Answer:i think D
Step-by-step explanation:
A rectangle has an area of 96 sq. ft. Find the width of the rectangle if the height is 8 feet?
Convert the units of capacity.
10 pt = ___ ___ qt
Answer:
6.00475
Step-by-step explanation:
Find equations of two lines that cross at the point (2,7) & explain how you got the answer
need help ASAP, please
Answer:
1) D. 343.17
2) C but not sure
Step-by-step explanation:
1) area of triangle is 1/2* base* height= 1/2*18*24 = 216ft²
area of circle is πr²
area of semicircle is πr²/2
diameter=18
radius= 18/2=9
πr²/2 = (22/7* 9*9) / 2
=127.2 (approx)
total area = 127.2+ 216= 343.2
2) I dont know...I think C
The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lengths of the bases of the trapezoid? The area of the triangle is 65 cm squared
Answer:
[tex]b_1 \approx 7.2[/tex]
[tex]b_2 \approx 14.4[/tex]
Step-by-step explanation:
Given
[tex]Area = 65cm^2[/tex] --- Area of the triangle
[tex]b_2 = 2b_1[/tex] --- the bases of the trapezoid
The missing parameters is:
[tex]h=6 cm[/tex] --- Trapezoid height
Required
Determine b1 and b2
Since the areas of the trapezoid and the triangle are the same, then:
[tex]Area = \frac{1}{2}(b_1 + b_2) *h[/tex]
So, we have:
[tex]65 = \frac{1}{2}(b_1 +b_2) * 6[/tex]
Substitute[tex]b_2 = 2b_1[/tex]
[tex]65 = \frac{1}{2}(b_1 +2b_1) * 6[/tex]
[tex]65 = \frac{1}{2}(3b_1) * 6[/tex]
[tex]65 = 3b_1 * 3[/tex]
[tex]65 = 9b_1[/tex]
Solve for [tex]b_1[/tex]
[tex]b_1 = \frac{65}{9}[/tex]
[tex]b_1 \approx 7.2[/tex]
Substitute [tex]b_1 \approx 7.2[/tex] in [tex]b_2 = 2b_1[/tex]
[tex]b_2 \approx 2 * 7.2[/tex]
[tex]b_2 \approx 14.4[/tex]
i need this done pls :)
Answer:
300....?
Step-by-step explanation:
What’s the answer ? Pleaseee help
Answer:blue
Step-by-step explanation:
the dark one
724 Ft
Surface Area = 2×(17×4 + 17×14 + 4×14) = 724 feet^2
What is -8w-4 simplified?
[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]
[tex] - 4(2w + 1)[/tex]
[tex]\huge\red{\boxed{\tt{\colorbox{pink}{Solution:}}}}[/tex]
[tex] - 8w - 4[/tex]
Bind the expression with the common factor -4
[tex] - 8w - 4[/tex]
#❀CARRY ON LEARNING❀#❀KEEP ON LEARNING❀#❀LEARNING IS FUN❀#❀LETS LEARN❀#❀NoToCopyPaste❀❀hope it helps(◕ᴗ◕✿)❀❀Keep safe!❀シ︎Answer: −4(2w+1)
Step-by-step explanation: Hope this help :D
Question 2
Use pythagroean theorem to find the value of the missing side. Leave answers in simplest radical form.
Answer:
C
Step-by-step explanation:
a^2 + 49 = 169
-49 - 49
a^2 = 120
√120 = 2√30
A set of cards is numbered 1,2,3,4,5,6,7,8,9,10,11,12. Suppose you pick a card at random without looking. Find the probability of each event. Write as a fraction in simplest form for each questions.
P(3) =
P(a number that starts with the letter T) =
P(odd number) =
P(multiple of 4) =
P(3 or 5) =
P(13) =
Answer:
3= 1/12
a number with the letter T= 1/3
odd number= 1/2
multiple of 4= 1/6
3 or 5= 1/6
13= 0
Answer:
p(3)=1/3
p(a number that starts with the letter T)=1/3
p(odd number)=1/2
p(multiple of 4)=1/4
p(3 or 5)=1/6
p(13)=0
Alice is a good gambler and always knows when to stop. Suppose in a game, in each round she has a winning probability of 0.8 and she will stop at the first loss. Try to find the upper bound on the probability that she can win at least 10 rounds using Markov's inequality.
Answer:
The answer is "0.500".
Step-by-step explanation:
The chance that round will be won, [tex]P (win) =0.8[/tex]
The likelihood of losing round by complementary law
[tex]P(loss) = 1 -P(win)\\\\[/tex]
[tex]=1-0.8\\\\=0.2\\\\[/tex]
Let X be the number of rounds to the first loss played.
Here, [tex]X \sim Geometric (p=0.2)[/tex]
The PMF of X is the following:
[tex]P(X=x)=p(1-p)^x\\\\[/tex]
[tex]=(0.2)(1-0.2)^x\\\\=(0.2)(0.8)^x, \ \ \ \ \ x=1,2,.....[/tex]
The mean of X is the geometric random variable property, [tex]E(X) =\frac{1}{P}= \frac{1}{0.2}=5\\\\[/tex]
Markov's Inequality:
Suppose X is any random variable that has no negatives. So,
[tex]P(X \geq s)\leq \frac{E(X)}{s} for s >0\\\\[/tex]
Find the upper bound of [tex]P (X \geq 10)[/tex]
[tex]P(X \geq 10) \leq \frac{E(X)}{10}[/tex]
[tex]=\frac{5}{10}\\\\=\frac{1}{2}\\\\=0.5\\\\[/tex]
The highest probability is, therefore, that Markov's inequality will win at least ten rounds: 0.500
what is the hypothesis of a triangle with a base of 11cm and height of 9cm
Answer:
14.21 cmExplanation:
you mean the hypotenuse* lol
the hypotenuse = √(11²+9²)
the hypotenuse = √(121+81)
the hypotenuse = √(202)
the hypotenuse ≈ 14.21 cm