Answers
Answer:
Here we know that:
[tex]m(v) = \frac{M_0}{\sqrt{1 - \frac{V}{C} } }[/tex]
Where V is the speed, C = 3*10^8 m/s
We want to solve:
[tex]m(v) = \frac{M_0}{\sqrt{1 - \frac{V}{C} } } = 2*M_0[/tex]
We can just isolate V from the above equation, so we will get:
[tex]\frac{M_0}{\sqrt{1 - \frac{V}{C} } } = 2*M_0[/tex]
[tex]\frac{1}{\sqrt{1 - \frac{V}{C} } } = 2[/tex]
[tex]1 = 2\sqrt{1 - \frac{V}{C} }[/tex]
[tex](1/2)^2 = 1 - \frac{V}{C}[/tex]
[tex]V = (1 - (1/4))*C = (3/4)*C = (3/4)*3*10^8 m/s = (9/4)*10^8 m/s[/tex]
That is the velocity such that the effective mass is twice the rest mass.
Related Questions
色
Find the area of the isosceles triangle.
13 cm
10 cm
Overview
Pythagoras' Theorem - An Algebraic Approac View One Minute Version
Answers
Answer:
area of an isosceles triangle=bh/2
Step-by-step explanation:
base=10
height=13
10×13/2
=65
Find the Surface Area and the Volume.
Answers
Answer:
Surface area = 850 cm²
Volume = 1000 cm³
Step-by-step explanation:
Applying,
A = h(a+b+c+d)................ Equation 1
Where A = Surface area of the trapezoidal prism, a, b, c, d = length of the four sides the trapezium respectively, h = height of the prism.
From the diagram in the question,
Given: h = 25 cm, a = 6 cm, b = 14 cm, c = 7 cm, d = 7 cm
Substitute these values into equation 1
A = 25(6+14+7+7)
A = 25(34)
A = 850 cm²
From the volume,
V = A'h...................... Equation 2
Where A' = Area of the base.
From the diagram,
A' = 1/2(6+14)4
A' = 40 cm²
Therefore,
V = 40×25
V = 1000 cm³
A shopkeeper bought bycicle for rs 3520 and a mobile for rs 4690 . he sold both the items for rs 8650 calculate how much money did he gain
Answers
Answer:
Rs 440
Step-by-step explanation:
Price of bicycle = 3520
Price of mobile = 4690
Cost Price of both mobile and bicycle = 3520 + 4690
=> 8210
Selling price of both mobile and bicycle = 8650
Profit = selling price - cost price
= 8650 - 8210
= 440
Therefore he gained Rs 440
What's the area
5.1 5.1 5.1 ?
Answers
Answer:
Are you talking about the are of a 3d cube? then it would be 156.06 because you take the length times width to get the area of one side then multiply it by 6 to gets all the sides.
Which of the following statement is incorrect? .
a.Closure property is true for subtraction of Rational numbers
b.Commutative property is true for subtraction of Rational numbers
c.Closure property is true for addition of Rational numbers
d.Closure property is true for multiplication of Rational numbers
If you answer the question I will follow you
answer fast
Answers
Answer:
b.Commutative property is true for subtraction of Rational numbers
Step-by-step explanation:
Option B is the correct answer as it is the incorrect statment in the given options.Consider the following. (Assume that the coins are distinguishable and that what is observed are the faces or numbers that face up.) Three coins are tossed; the result is at most one tail. What sets of elements are included in the sample space?
Answers
Answer:
a) [tex]P(<1)=(HHH,HHT,HTH,THH)[/tex]
b) [tex]n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).[/tex]
Step-by-step explanation:
From the question we are told that:
3 coin are tossed
Therefore
Sample space [tex]n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).[/tex]
Generally the sets that correspond with the result of at most one tail is therefore given as follows
[tex]P(<1)=(HHH,HHT,HTH,THH)[/tex]
Therefore
The result is at most one tail when
[tex]P(<1)=(HHH,HHT,HTH,THH)[/tex]
Calculate the BMI for a woman who is 165 cm tall and weighs 65 kg.
Answers
i need to know how to solve this
Answers
Answer:
C
Step-by-step explanation:
I think you have to call a = 14/32 and b = 7/4
3a = 3 * 14/32 = 42/32
b = 1 3/4 = (4 + 3)/4 = 7/4
42/32 // 7/4 Invert and multiply
42/32 * 4/7 Cancel 4 into 32 and 7 into 42
6/8 = 3/4
I make the answer C
Answer:
So the square seems to multiply the first number by three and then divide it by the second number.
So,
14/32 * 3
=
42/32
Simplify
21/16
And now for division, we flip the diveding fraction and multiply.
21/16 * 4/7
Which is after some fraction simplifing:
3/4
3(x - 4) = -3. Solve for x.
Answers
Answer:
x = 3
Step-by-step explanation:
3(x - 4) = -3
Divide by 3
3/3(x - 4) = -3/3
x-4 = -1
Add 4 to each side
x-4+4 = -1+4
x = 3
Answer:
x = 3
Step-by-step explanation:
Divide each term by 3 and simplify.
x - 4 = [tex]\frac{-3}{3}[/tex]
Cancel the common factor of 3 .
x - 4 = -1
Move all terms not containing x to the right side of the equation.
x = -1 + 4
Add -1 and 4.
x = 3
Hope this helps!
A boat can carry 22 people 940 people went on the boat how many trips did the boat do
Answers
42 trips
You just divide 940 by 22
Determine whether the given value is a statistic or a parameter. A homeowner measured the voltage supplied to his home on all 7 days of a given week,and the average​ (mean) value is 120.7 volts.
A. The given value is a parameter for the week because the data collected represent a population.
B. The given value is a statistic for the week because the data collected represent a population.
C. The given value is a statistic for the week because the data collected represent a sample.
D. The given value is a parameter for the week because the data collected represent a sample
Answers
Answer:
A. The given value is a parameter for the week because the data collected represent a population
Step-by-step explanation:
Parameters in a study refers to the numbers that are used to summarize the data for the entire population. Whereas, a statistic are used to summarize the data from a sample only.
In the context, it is given that a person measures the voltage supply to his home for all the seven days and finds the average value of the voltage. The homeowner here considers the population of his sample to make his study.
Thus it is a parameter for the entire week as the data represents a population.
Which expression is equivalent to 3/x5y?
Answers
Answer:
option B
Step-by-step explanation:
[tex]\sqrt[3]{x^5 \ y} = (x^5 \ y )^\frac{1}{3} \ \ \ \ \ \ \ \ \ \ \ \ [ \ \sqrt[n]{x} = x^\frac{1}{n} \ \ , \ (xy)^a = x^a y^a]\\\\[/tex]
[tex]= x^{ (5 \times \frac{1}{3} )} \ y ^{\frac{1}{3} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ ( x^a )^b = x^{ab} \ ]\\\\\\[/tex]
[tex]= x^{\frac{5}{3} }\ y^{\frac{1}{3}}[/tex]
question- pls help me find the answer
Answers
Answer:
(d) -1
Step-by-step explanation:
Hope you have good grades and study well..btw make me as brainliest....ty sweetie
The two diagonals are equal in length so we can write
3x - 2 = 2x - 1
3x - 2x = -1 + 2
x = 1
You could have substituted each answer until you found the one that worked.
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.
The sample space,S,of a coin being tossed three times is shown below, where H and T denote the coin landing on heads and tails respectively.
Answers
Answer: Bottom left corner
=======================================================
Explanation:
There are only four possible outcomes here
A) we get all tails, ie getting 0 headsB) we get exactly one head (the rest tails)C) we get exactly 2 headsD) we get all three headsBased on this so far, the answer is either the table in the bottom left corner or in the top right corner. It's not possible for X = 4 since we only flipped 3 coins.
The probability of case A happening is 1/8 since we have 1 scenario that's all tails (TTT) out of 8 items in the sample space. Similarly, the probability for case D is the same probability. We only have one HHH out of 8 total items.
The probabilities of cases B and C are the same. Both are 3/8. Note that for case B, we have HTT, THT, TTH which is three occurrences in which we get exactly 1 head. So that explains the 3/8.
HELP ASAP PLEASE Alaina has $28 in her account. She wants to purchase a pair of shoes that costs $45. If Alaina makes the purchase, which integer will represents the amount of money in Alaina's account?
Answers
Answer:
-17
Step-by-step explanation:
28-45= -17 dollars in her account
One of the questions Rasmussen Reports included on a 2018 survey of 2,500 likely voters asked if the country is headed in right direction. Representative data are shown in the DATAfile named Right Direction. A response of Yes indicates that the respondent does think the country is headed in the right direction. A response of No indicates that the respondent does not think the country is headed in the right direction. Respondents may also give a response of Not Sure.
(a) What is the point estimate of the proportion of the population of respondents who do think that the country is headed in the right direction?
(b) At 95% confidence, what is the margin of error for the proportion of respondents who do think that the country is headed in the right direction?
(c) What is the 95% confidence interval for the proportion of respondents who do think that the country is headed in the right direction?
(d) What is the 95% confidence interval for the proportion of respondents who do not think that the country is headed in the right direction?
(e) Which of the confidence intervals in parts (c) and (d) has the smaller margin of error? Why?
The confidence interval in part (c) has a (Smaller or Larger) margin of error than the confidence interval in part (d). This is because the sample proportion of respondents who do think that the country is headed in the right direction is (closer to .5 / closer to 1 / farther from .5 / farther from 1) than the sample proportion of respondents who do not think that the country is headed in the right direction.
Dataset:
553 - No
70 - Not Sure
384 - Yes
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
553 - No
70 - Not Sure
384 - Yes
Total = (553 + 70 + 384) = 1007
Proportion who do think country is headed in the right direction :
P = yes / total = 384/1007 = 0.381
b.) Error margin at 95%
Margin of Error = Zcritical * √p(1-p)/n
1-p = 1 - 0.381 = 0.619
Zcritical at 95% = 1.96
Margin of error = 1.96 * √0.381(0.619)/1007
Margin of error = 0.030
C.)
95% confidence interval for heading in the right direction:
P ± margin of error
P ± 0.030
Lower boundary = 0.381 - 0.030 = 0.351
Upper boundary = 0.381 + 0.030 = 0.411
(0.351 ; 0.411)
D.)
Confidence interval for people who don't think :
P = 553 / 1007 = 0.549
Confidence interval = P ± margin of error
Error margin at 95%
Margin of Error = Zcritical * √p(1-p)/n
1-p = 1 - 0.549 = 0.451
Zcritical at 95% = 1.96
Margin of error = 1.96 * √0.549(0.451)/1007
Margin of error = 0.031
P ± margin of error
P ± 0.031
Lower boundary = 0.549 - 0.031 = 0.518
Upper boundary = 0.549 + 0.031 = 0.580
(0.518 ; 0.580)
E.)
The interval with smaller error margin is ; 0.030 (those who think country is headed in the right direction because sample proportion is farther from .5 / farther from 1)
1. Two-thirds of the sum of the number x and 5 is written
2x+5
a.
2
-x+ 5
3
b. §
(5x) <(x+5)
d.
e. x+ķ(x+5)
{(+5)
3
Answers
9514 1404 393
Answer:
cbaStep-by-step explanation:
This is as much about English comprehension as it is about math. When you read an English sentence, you need to figure out what each of the pronouns, phrases, and modifiers is referring to. When the sentence refers to math operations, you need to determine what each math operation is being applied to. In most cases, a math operation involves two operands, so the trick is to figure out what those are.
__
1. "Two-thirds of the sum ..." will look like 2/3( + ). "The sum of a number and 5" will look like (x+5). So, the words are describing ...
2/3(x +5) . . . . matches C
__
2. "Seven decreased by ..." will look like 7 -( ). "The quotient of a number and 3" will look like (n/3). So, the words are describing ...
7 -n/3 . . . . matches B
__
3. Consider the order of operations. When you evaluate 2x²+9, the last operation you perform is addition. That is, the result is a sum. One of the elements of that sum is 9 (the second one). The other element of that sum is the product 2x². The elements of that product are 2 and the square of x. So, one way to describe this expression is ...
the sum of the product of 2 and the square of a number, and 9.
The order of operations requires that squares be evaluated before multiplication and division, so it is not unreasonable (if slightly more ambiguous) to write this as ...
the sum of 2 times a number squared and 9 . . . . choice A
Describe the transformation of f(x) = sin x to g(x) = sin x – 7.
Answers
9514 1404 393
Answer:
C. 7 units down
Step-by-step explanation:
The y-coordinate of a point on a graph is the function value. It tells how far up from the x-axis the point is located. When 7 is subtracted from the function value, the y-coordinate is 7 less than it was. That is, the point has moved 7 units down.
In triangle ABC, the measure of angle B is 22° more than three times the measure of angle A. The measure of angle C is 53° more than the measure of angle A. Find the measure of each angle.
Answers
Answer:
105
Step-by-step explanation:
53+22=75, 180-75=105
4 pillows and 5 quilts cost £53, 6 pillows and 5 quilts cost £57, find the cost of one each
Answers
Answer:
p=2
q=9
Step-by-step explanation:
4p+5q=53
6p+5q =57
4x+5y=53
6x+5y=57
Subtract
4x+5y-6x-5y=53-57
-2x=-4
x=2
Put value of x in any equation
4*2+5y=53
8+5y=53
5y=53-8
5y=45
Y=9
Cost of each pillow is 2 and cost of each quilt is 9
Identify the pairs of congruent angles and proportional corresponding side lengths
Answers
Answer:
∠B=∠D, ∠C=∠E, ∠A=F.
Step-by-step explanation
FE/AC=6/8=3/4, FD/AB=9/12=3/4,DE/BC=13.5/18=3/4. Since all proportions are equal to 3/4, the corresponding side lengths are proportional.
How many one-to-one functions are there from the set {A, B, C} to the set {x, y, z, t, w, k}?
Answers
Answer:
120 different one-to-one functions
Step-by-step explanation:
A one-to-one function means that each element from the domain can be mapped into only one element from the range (like for a typical function), and each element from the range can be mapped only once.
This means that, for two different inputs x₁ and x₂, we can't have:
f(x₁) = f(x₂)
Because that would mean that two different values of the domain are being mapped into the same element from the range.
Ok, now that we know this, let's count the number of possible "mappings" for each element in the domain.
For the first element, A, we have the options {x, y, z, t, w, k} (a total of 6 options).
For the second element, B, we will have an option less (because one was already taken) so here we have 5 options.
For the last element on the domain, C, there will be again an option less than in the previous case, so here we have 4 options.
The total number of combinations (each combination defines a different one-to-one function) is equal to the product between all the options for each case, then the total number of one-to-one functions is:
C = 6*5*4 = 120
There are 120 different one-to-one functions.
Two workers paint lines for angled parking spaces
Answers
Answer:
2nd option
Step-by-step explanation:
The lines are parallel because the angles are congruent since they are Alternate exterior angles.
Find the investment value when compounded anually.
P = $120,000, r= 5.3%, t = 8 yr
Answers
Given:
[tex]P=\$120,000[/tex]
[tex]r=5.3\%[/tex]
[tex]t=8\text{ years}[/tex]
To find:
The value of the investment when the interest is compounded annually.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is the principal, r is the rate of interest in decimal, n is the number of time interest compounded in an years, and t is the number of years.
The interest is compounded annually. So, [tex]n=1[/tex].
Substituting [tex]P=120000, r=0.053, n=1, t=8[/tex] in the above formula, we get
[tex]A=120000\left(1+\dfrac{0.053}{1}\right)^{1(8)}[/tex]
[tex]A=120000\left(1.053\right)^{8}[/tex]
[tex]A=181387.85936[/tex]
[tex]A\approx 181387.86[/tex]
Therefore, the value of the investment after 8 years is $181,387.86.
1/6 of ______ equals 9
What is the blank?
Answers
Answer:
54
Step-by-step explanation:
1/6 × y = 9
y ÷ 6 = 9
y ÷ 6 × 6 = 9 × 6
y = 54
Charlie weighed 8 lbs. 11 oz. at birth given that 1 pound is equivalent to 16 ounces what is Charlie’s birthweight expressed in ounces
Answers
Answer:
139 oz.
Step-by-step explanation:
If 1 pound equals 16 ounces, multiply 8 by 16 and you will get 128, then add the original 11 ounces to get 139.
HELP I HAVE TO PASS!
What is the average rate of change for this quadratic function for the interval from x=0 to x=2?
A) -4
B) -2
C) 2
B) 4
Answers
Answer:
At X = 0 Y = 10
At X = 2 Y = 6
Rate of change = change in Y / change in X = -4 / 2 = -2 or B
109.06 in scientific notation is
Answers
A custodian has 5 1/2 gallons of paint. Each of the bookcases she is painting requires 1/2 gallon of paint. How many bookcases will the custodian be able to paint with that amount of paint
A. 3
B. 4
C. 11
D. 15
Answers
1. Estimate the area of the irregular shape. Explain your method and show your work.
2. The coordinates of the vertices of △LMN are L (-2, 4), M (3, -1), and N (0, -4). Determine whether △LMN is a right triangle and support your decision. Show all work.
3. The coordinates of the vertices of quadrilateral PQRS are P (-6, 2), Q (-1, 4), R (2, 2), and S (-3, 0). Alexandra states that quadrilateral PQRS is a parallelogram. Prove or disprove Alexandra’s statement. Show all work.
Answers
Answer:
Step-by-step explanation:
1. Do not see a figure, and unsafe to download and execute .docx.
2. Vectors LM<5,-5>, NM<3,3>, NL<2,-8>
Since LM.NM = 15-15 = 0, LM and NM are orthogonal, hence the given points form a right triangle.
3. A parallelogram has opposite sides parallel.
Slope PQ = (4-2) / (-1 - -6) = 2/5
Slope RS = (2-0) / (2- -3) = 2/5
Therefore PQ || RS
Slope PS = (2-0)/(-6- -3) = -2/3
Slope QR = (4-2)/(-1 -2) = -2/3
Therefore PS | QR
Since opposite sides are parallel, PQRS is a parallelogram
Answer:
Step-by-step explanation:
1. There are 31 complete are almost complete squares.
Top line is about 3.5 squares
Right side is about 1.8
Bottom about 3.5 and left side about 1.2.
Total approximately 41 square units.
2. If it is a right triangle then 2 sides will be perpendicular.
Slope of LM = (-1-4)/(3 +2 = -1
Slope of MN = (-4+1)/ -3 = -3/-3 = 1.
So as the product of the slope = -1 * 1 = -1 the angles between LM and MN is a right angle and LMN is a right triangle.