Answers
Step-by-step explanation:
The time dilation formula is given by
[tex]F(t) = \dfrac{t}{\sqrt{1-v^2}}[/tex]
where t is the time measured by the moving observer and F(t) is the time measured by the stationary earth-bound observer and v is the velocity of the moving observer expressed as a fraction of the speed of light.
a) If the observer is moving at 80% of the speed of light and observes an event that lasts for 1 second, a stationary observer will see the same event occurring over a time period of
[tex]F(t) = \dfrac{1\:\text{s}}{\sqrt{1-(0.8)^2}}[/tex]
[tex]\:\:\:\:\:\:\:=\dfrac{1\:\text{s}}{\sqrt{1-(0.8)^2}} =\dfrac{1\:\text{s}}{\sqrt{1-(0.64)}}[/tex]
[tex]\:\:\:\:\:\:\:=1.67\:\text{s}[/tex]
This means that any event observed by this moving observer will be seen by a stationary observer to occur 67% longer.
b) Given:
t = 1 second
F(t) = 2 seconds
We need to find the speed of the observer such that an event seen by this observer will occur twice as long as seen by a stationary observer. Move the term containing the radical to the left side so the equation becomes
[tex]\sqrt{1-v^2} = \dfrac{t}{F(t)}[/tex]
Take the square of both sides, we get
[tex]1 - v^2 =\dfrac{t^2}{F^2(t)}[/tex]
Solving for v, we get
[tex]v^2 = 1 - \dfrac{t^2}{F^2(t)}[/tex]
or
[tex]v = \sqrt{1 - \dfrac{t^2}{F^2(t)}}[/tex]
Putting in the values for t and F(t) we get
[tex]v = \sqrt{1 - \dfrac{(1\:\text{s})^2}{(2\:\text{s})^2}}[/tex]
[tex]v = \sqrt{1 - \dfrac{1}{4}} = \sqrt{0.75}[/tex]
[tex]\:\:\:\:=0.866[/tex]
This means that the observer must moves at 86.6% of the speed of light.
Related Questions
These are so random? I don’t know why I have to put these? Ignore them
Answers
Ahmad gives his friend Juana a lottery ticket for her birthday. The ticket cost Ahmad $1, and the back of the
ticket says, "The overall odds of winning a prize with this ticket are 1 : 50, and the expected return for this
ticket is $0.50.6000000
Ahmad says, "lf 1,000 people each bought one of these tickets, they'd have spent $1,000 in total and get back
about $5,000."
Juana says, "The probability that one of these tickets wins a prize is 0.50, on average."
Whose statement is correct based on the expected value?
Choose 1 answer:
Only Ahmad's
Only Juana's
Both statements are correct.
Neither statement is correct.
Answers
According to the information provided the statement of both people is incorrect (option D)
Ahmad's statement is false because he claims that in the situation where 1000 people spend $ 1000 on lottery tickets they would get back $ 5000. However, the recovery would be $ 500 This statement can be verified by doing the following operation:
0.50 x 1000 = 500
On the other hand, Juana's statement is false because she says that people who buy a lottery ticket have a probability of winning of 0.50 on average. However, the true probability is 0.02. This statement can be checked by doing the following operation:
1 ÷ 50 = 0.02
According to the above, none of the statements of the characters is true.
Learn more about mathematics in: https://brainly.com/question/19003099
Answer:
Neither statement is correct
Step-by-step explanation:
Got it right on Khan Academy
The bill at a. Restaurant came to 136 dollars and 40 sents the paytrons decided to leave a 15 percent tip what was the total bill including the tip
Answers
Answer:
$ 156.86
Step-by-step explanation:
We have been given that the bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip.
The total bill including tip would 136.40 plus 15% of136.40plus15136.40.
\text{Total bill}=\$136.40+\frac{15}{100}\times \$136.40Total bill=$136.40+10015×$136.40
\text{Total bill}=\$136.40+0.15\times \$136.40Total bill=$136.40+0.15×$136.40
\text{Total bill}=\$136.40+\$20.46Total bill=$136.40+$20.46
\text{Total bill}=\$156.86Total bill=$156.86
Therefore, the total cost of bill including tip would be $156.86.
$136.40 + $20.46 = $156.86
Your answer: $156.86
Help please, I attached a screenshot
Answers
[tex] \frac{(7 {x}^{2} {y}^{4} ) ^{2} }{49 {x}^{6} {y}^{5} } \\ = \frac{ {7}^{2} {x}^{2 \times 2} {y}^{4 \times 2} }{49 {x}^{6} {y}^{5} } \\ = \frac{49{x}^{4} {y}^{8} } {49 {x}^{6} {y}^{5}} \\ = {x}^{4 - 6} {y}^{8 - 5} \\ = {x}^{ - 2} {y}^{3} \\ = \frac{y ^{3} }{ {x}^{2} } [/tex]
Answer:
[tex] \frac{y ^{3} }{ {x}^{2} } [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 77 kilograms. A delivery of 6 large boxes and 2 small boxes has a total weight of 104 kilograms. How much does each type of box weigh?
Answers
Evaluate 2/3p + 3 when p = 3/5=
Answers
Answer:
so 2/3X 3/5 + 3
10 + 9 / 15 by LCM method
so 19/15 + 3 = 19/15 + 45/15 = 64/15
hope it helps
Step-by-step explanation:
Answer:
3 2/5
Step-by-step explanation:
2/3 (3/5) + 3
Multiply
6/15 + 3
Reduce fraction
2/5 + 3 = 3 2/5
help me please hhhhhjjkk
Answers
Answer:
x=11
Step-by-step explanation:
This is an exterior angle theorem question.
To answer this question, you must know what the exterior angle theorem is:
An exterior angle of a triangle is equal to the sum of the two opposite interior angles. (not my definition)
So first, you need to add the two opposite interior angles.
3x+8+2x+9 is equal to 5x+17.
Then, you make an equation setting 5x+17 equal to the exterior angle.
5x+17 = 8x-16.
To solve this equation, first add 16 on both sides
→5x+33 = 8x
Then, subtract 5x on both sides
→ 33 = 3x
Finally, divide both sides by 3 to get x=11
Solve for x.
х/12=3/2
Answers
What is the standard form of the parabola whose vertex form is y= 2(x+4)^2+5
A. y = 2x2 +16x - 37
B. y=-2x² + 4x - 25
C. y = 2x° +16x +37
D. y = 2x² + 4x - 25
Answers
[tex]y = 2(x+4)^2+5\implies y = 2(x+4)(x+4)+5 \\\\\\ y = 2(\stackrel{\mathbb{USING~FOIL}}{x^2+8x+16})+5\implies y= 2x^2+16x+32+5 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y = 2x^2+16x+37~\hfill[/tex]
What will be the average of the first five
consecutive numbers starting from 11
Answers
Answer:
13
Step-by-step explanation:
The average of any 5 consecutive numbers is the 3rd one (the middle one of the group). The third consecutive number starting from 11 is 13.
The average of {11, 12, 13, 14, 15} is 13.
The formula p=F/A can be used to relate pressure force and area. Solve the formula for A.
Answers
[tex]P=\dfrac{F}{A}\\\\\implies PA = F\\\\\implies A = \dfrac{F}{P}[/tex]
Marc drove 312.8 miles on 12.5 gallons of gas. What was the car’s average mileage miles per gallon for the distance.
Answers
Answer:
25.024 mi/gal
Step-by-step explanation:
To find miles per gallon, divide miles by gallons.
(312.8 mi)/(12.5 gal) = 25.024 mi/gal
WILL MARK BRAINLIEST IF ANSWER IS CORRECT
Solve
20÷4+2•5
Answers
Answer: the answer is 8
Step-by-step explanation:
Hope this helped.
hi have a nice day
20
4
+(2)(5)
=15
write 6 out of 40 as a fraction a decimal and a percent
Answers
Answer:15% , 0.15 , 6/40 or 3/20
Step-by-step explanation:
The percent is 15% and 15 hundredths is 0.15 and the fraction is just 6/40.
Answer:
3/20, 0.15, 15%
Step-by-step explanation:
Fraction:
6/40 un-simplified
3/20 simplified
Decimal:
0.15
Percentage:
15%
What is the answer for 3(x+9)-4x=11x-13x+23. Is this true or false statement?
Answers
[tex]3(x+9)-4x=11x-13x+23\\<=>3x+27-4x-11x+13x-23=0\\<=>x+4=0\\<=> x= -4[/tex]
Answer: this's true statement.
ok done. Thank to me :>
-x+27 = 2x+23
-x+27 = x + 11.5
How do I do this? It's a modulus question.
Answers
||x|-4|= |x-1|
1st step = separate the equation into 2 possible equations
2nd step = solve the equations
|x|-4= x-1
x= -3/2
Or
|x|-4= - (x-1)
X= 5/2
2)
Do the same
X= -5/2
X= 7/2
pls help im being timed
Answers
Answer:
He needs 8 health packs
Step-by-step explanation:
3x + 5 [tex]\geq[/tex] 29
3x [tex]\geq[/tex] 24
x [tex]\geq[/tex] 8
i have 45 points...
Charlie has a box with the following letters inside of it. What is the probability that he will draw a "D," put it back, and then draw an "A?" Write your answer as a simplified fraction.
Answers
Answer:
3/7 and 2/7.
Step-by-step explanation:
P(e) = No of favourable outcomes/ Total no of possible outcomes.
total outcomes=3+1+1+2=7.
(1) p(D) = 3/7.
(2)p(A)=2/7
There are 3 D out of 7
There are 2 A out of 7(because we put the card back)
3/7 * 2/7 =6/ 49
How many sixes are equal to double 27?
Answers
Answer:
its not sixes theres 4 sixes equal 24 so there is no answer
Step-by-step explanation:
can i have brainliest pls
Answer:
9
Step-by-step explanation:
Double 27 is 54. 6 times 9 is 54
When c=-7, evaluate 4(9/4+5/7c)
Answers
Hey there!
4(9/4 + 5/7c)
= 4(9/4 + 5/7(-7))
= 4(9/4) + 20/7(-7)
= 4(9/4) - 20
= 9 - 20
= -11
Therefore, your answer is: -11
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Select the best estimate for the quotient.75.1÷9=
Answers
Answer:
8.3 44444 is the answer
Step-by-step explanation:
3 + 6 x (5 + 4) ÷ 3 -7?
Answers
Answer:
Answer: 14
Step-by-step explanation:
[tex]{ \rm{3 + 6 \times (5 + 4) \div 3 - 7}} \\ \\ = { \rm{3 + (6 \times 9) \div 3 - 7}} \\ \\ = { \rm{3 + (54 \div 3) - 7}} \\ \\ = { \rm{14 }}[/tex]
Simplify the expression completely.
Answers
Answer: B
Step-by-step explanation: Best way to solve this is to first take the square root of 9 which is 3. Notice in the expression there is an x^4 but once the square root of 9x^4 is taken, you get 3x^2. There is a minus sign in the middle, so answer choice C and D are out. Now, there is answer choice A or B. Now we take the square root of 12 but 12 isn't a perfect square root. But, you can think of 2 numbers that when you multiply give you 12 and one of those numbers is a perfect square root. In this case, it would be 4 because 4 times 3 = 12. Square root of 4 is 2. Again, notice there is an x^2. Once the square root of 4 is taken, you are left with 2x and square root of 3. The square root of 3 isn't a perfect square root. But, you can write the expression in the following way:
2x[tex]\sqrt{3}[/tex] - 3[tex]x^{2}[/tex]
Hope this helps.
Which of the following is a solution of 4x + 3x = 12?
(a) (4,0)
(b) (3,0)
Answers
Answer:
B
Step-by-step explanation:
Given equation is 4x+3y = 12
(3,0) is a solution because
LHS =
⇛ 4(3)+3(0)
⇛ 12+0
⇛ 12
⇛ RHS
LHS = RHS
also read similar questions: Find the intercepts of the graph given the following equation 4x – 3y = 12 A (4,0) and (0,-3) B (-3,0) and (0,-4) (3,0) and (0,-4) D (3,0) and (0,4)...
https://brainly.com/question/20948223?referrer
Which is a solution to the equation y=12-3x A.(4,3) C.(4,0) B.(-4,4) D.(0,4)....
https://brainly.com/question/3735786?referrer
HELP
Lyndie is making reduced copies of a photo that measures 25 centimeters in height. She sets the copy machine to an 80% size
reduction.
PART A
Write a percent equation that represents
the relationship of the height of the first
copy to the height of the original photo.
PART B
Lyndie wants to make another copy that
will have a height of 17 cm. The copy
machine settings increase or decrease in
increments of 5%. Which photo should she
make her copy from, the original or her
first copy? Explain.
Answers
Answer: 5+ba*7= 88
Step-by-step explanation:
can anyone please tell me how to do this
Answers
Hello there, this problem is just basic addition, here is what it would look like
[tex]52.31+25.90[/tex]
Solve it and we get 78.21
Amount earned on Saturday = $ 52.31
Amount earned on Sunday = $ 25.90
Total amount earned
= $ 52.31 + $ 25.90
= $ 78.21
Therefore, Tara earned $ 78.21 in total. Hope this helps.
Have a nice day.
Marissa deposited $3,900 into a savings account. How much will Marissa have in her account after 7 years and 6 months at a yearly simple interest rate of 1.82%
Answers
Marissa wants to know how much she would make using the simple interest calculation.
She will have $4,432.35
Given data
Principal = $3,900
Time = 7 years 6 months = 7.5 years
Rate = 1.82%
I = A - P = $532.35
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 1.82%/100 = 0.0182 per year.
Solving our equation:
A = 3900(1 + (0.0182 × 7.5)) = 4432.35
A = $4,432.35
The total amount accrued, principal plus interest, from simple interest on a principal of $3,900.00 at a rate of 1.82% per year for 7.5 years is $4,432.35.
Learn more about simple interest here:
https://brainly.com/question/20690803
NEED NOW PLEASE..........
Answers
Answer: C. -12 - 3 + 9
Step-by-step explanation:
-12 because the fish are 12 m below the ocean.
-3 because the fish swim down.
+9 because the fish swim up.
...................hyufgr54ed3w4ewfsa67grftgvb hj
Answers
Answer:
yes
Step-by-step explanation:
An M&Ms factory produces 109,500,000 M&M’s every day. About 1/5 of its M&Ms are yellow. Find the number of yellow M&M’s produced at this factory
Answers
Answer:
It's not possible to answer precisely. About 1/5 of 109,500,000 is equal to about 109,500,000*.2 which is about 21,900,000.
Step-by-step explanation:
The first thing to note is that the amount of yellow M&Ms isn't precisely 1/5th. It's about 1/5th.
So, applying the math, 109,500,000 times 1 and divided by 5 = 21,900,000, but that's not the answer, because of the uncertainty.
The answer has to be "about 21,900,000."
