Answers
This is (E/m) all to the 1/2 power
=================================================
Work Shown:
[tex]E = mc^2\\\\mc^2 = E\\\\c^2 = \frac{E}{m}\\\\c = \left(\frac{E}{m}\right)^{1/2}\\\\[/tex]
The idea is to first isolate [tex]c^2[/tex] by dividing both sides by m. This undoes the multiplication of m and [tex]c^2[/tex]
The next step is to fully isolate c. One way is to apply the square root. Another way is to raise both sides to the 1/2 power. Either way, that will get c all by itself.
Side note: [tex]\sqrt{x} = x^{1/2}[/tex]
So this means that [tex]\left(\frac{E}{m}\right)^{1/2} = \sqrt{\frac{E}{m}}[/tex]
A rational exponent is the same as a fractional exponent.
Related Questions
helppp me plz im begging u
Answers
Answer:
The answer is 1
Step-by-step explanation:
You can try out all the numbers one by one but I'll just show you why 1 works.
First you need to replace x with 1:
-1+8>6
-1+8=7
7 is greater than 6 so 1 is the answer.
I hoped that helped!
(Brainliest???)
:)
What does it mean to make connections when comparing and contrasting? (10 points)
Answers
Answer:
When making connections using compare and contrast, you should look for hidden similarities and differences. Compare/contrast aims to show all the necessary information or details that makes a topic or an object similar of different. Therefore, you should not only state the obvious, but also cite.
Help!! WILL GIVE BRAINLIEST!!! What is the range of possible sizes for side x? Please explain about the rule as well.....
Answer like this (fill in the blanks).
__< x <__
Answers
Answer:
0.2 < x < 11.8
Step-by-step explanation:
The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side, for it to form a triangle. So, we can set up 3 equations, x + 5.8 > 6, 5.8 + 6 > x, and x + 6 > 5.8. This solves out to x > 0.2, x < 11.8, and x > -0.2. We can disregard that last one, because a side can't be negative. Therefore, we know the possible range of values for x.
I hope I could be of help! Please give brainliest!
A bakery was about to sell fresh baguettes, and people formed a line outside to wait. While waiting for the bread to bake, every space between two people in the line was filled by a new person who had joined the line. More time passed, and again each space between the people waiting was filled with a new person who joined the line. Finally, 85 fresh baguettes were brought out and one baguette was sold to each person. How many people were standing in the original line?
Answers
Answer:
The number of people standing in the original line is 22 people
Step-by-step explanation:
The information given are;
The number of baguettes that was shared by the people on the line = 85
The number of baguettes each person received = 1 each
Therefore;
The number of people that were finally on the line = 85
Let the number of people in the original line = X
Then each space between two people in X was filled by 1 new person of the first set of people who joined the line
Therefore;
The number of the first set of people who joined the line = The number of spaces between two count of people in X
Which gives;
The number of people who joined the line = X - 1
The new total number of people on the line = X + X - 1 = 2·X - 1
As time passed, a second set of people joined the line such that each space between the people waiting was filled with a new person (from the second set) who joined the line
Therefore, the number of people in the second set = Number of people waiting - 1
Which gives;
The number of people in the second set = 2·X - 1 - 1 = 2·X - 2
The total number of people on the line becomes 2·X - 1 + 2·X - 2 = 4·X - 3
The 85 baguettes is then able to go round (each) among the total number of people on the line
Therefore;
The total number of people on the line = The number of baguettes sheared
4·X - 3 = 85
4·X = 85 + 3 = 88
X = 88/4 = 22
Therefore;
The number of people standing in the original line = 22.
1. A population of 20 rabbits is released into a wildlife region. The population is growing at a rate of 60% per year. What is the population of rabbits after 8 years and what equation did you use? 2. The population of white rhinos in 2001 was 11,670. The population is declining by 9% each year. What is the population expected to be in the year 2021 and what equation did you use?
Answers
Answer:
I think it's 12
Step-by-step explanation:
i just multiplied 60 by 20%
Show all work to solve 3x^2-5x-2=0
Answers
Answer:
The roots are {2, -1/3}
Step-by-step explanation:
The coefficients of this quadratic function are a = 3, b = -5 and c = -2.
Let's use the quadratic formula to find the roots of the given 3x^2-5x-2=0.
The discriminant is b^2 - 4(a)(c), or (-5)^2 - 4(3)(-2), or 25 + 24 = 49.
Thus, the roots are:
-(-5)±√49 5 ± 7
x = ---------------- = ------------ = 2 and -1/3
2(3) 6
•Multiply the coefficient of the first term by the constant term.
3 x -2 = -6
•Ask: Which two numbers add up to -5 and multiply to -6?
1 and -6
•Split -5x as the sum of and –6x.
3x2 + x – 6x – 2
2) Factor out common terms in the first two terms, then in the last two terms.
x(3x+1)-2(3x+1)
3) factor out the common term 3x+1.
(3x+1)(x-2)
What is the 1st term in the sequence of cube numbers?
Answers
Answer:
1
Step-by-step explanation:
The n th term of cube numbers is calculated as
[tex]a_{n}[/tex] = n³
To find the first term let n = 1, that is
a₁ = 1³ = 1
Answer:
1.
Step-by-step explanation:
1 is the first term in the square numbers, as it is in the sequence of cube numbers.
1^3 = 1 * 1 * 1 = 1.
Hope this helps!
Consider this population data set: 4, 6. 7. 11, 12, 18, 26, 23, 14, 31. 22, and 12. The values 11.31. 22. and 12 constitute a random sample drawn
from the data set.
The sample mean is more than the population mean by
A. 3.5
B. 15.5
C. 19
D. 110
Answers
Answer:
The answer is 3.5
Step-by-step explanation:
25. On a farm, there are c cows and 15
sheep. There are 4 more sheep than
cows. Which equation represents the
situation?
A C= 15 +4
B C= 15-4
CC=4 - 15
D C = 4 x 15
Answers
Answer:b because if there is 4 more sheep than cows just subtract 4 and you get the number of cows
Step-by-step explanation:
If there are 15 sheep and thats 4 more than the amount of cows, you just subtract 4
Please help answer! It’s due today!
Answers
Side PQ corresponds to side TS. 9/7 is roughly 1.29, which would make that its scale factor. (I’m dividing because when side lengths are proportional, there is a specific value, the scale factor, that you can multiply or divide by to find the unknown side length of a corresponding side). Side QR corresponds to side UT. 15/10 is 1.5, thus making that the scale factor between these two sides. Finally, we see that side PR corresponds to side US. 12/8 is 1.5, making the scale factor between those two sides 1.5. Although two pairs of corresponding sides have the same scale factor, the same cannot be said for the third pair of corresponding sides. In order for the triangles to be similar, the scale factor should remain constant between each corresponding side, therefore, the triangles are not similar.
For number 6, since you are only given the side lengths, you would not be able to use the AA (Angle-Angle Similarity Theorem), or SAS (Side-Angle-Side Similarity Theorem). The calculations are shown below:
PQ~TS: 9/6= 1.5
QR~UT: 15/10= 1.5
PR~US: 12/8= 1.5
The scale factor for each pair of corresponding sides is congruent, proving that the triangles are proportional, making them similar.
Answer:
need thiss
Step-by-step explanation:
Cecil is replacing lightbulbs in the office where he works. When he started, he had x boxes of lightbulbs with 2 bulbs in each box. After replacing 16 lightbulbs, he has at least 12 bulbs left. Which inequality represents the number of boxes of lightbulbs Cecil started with? How many boxes of lightbulbs is that?
The inequality represents the number of boxes of lightbulbs that Cecil started with.
Cecil had boxes of lightbulbs when he started.
Answers
Answer:
If we add the Replaced, the Left, that would be 28 LB, 14 boxes.
Answer:
at most or at least
Step-by-step explanation:
Arithmetic mean between 2 and 8
Answers
Answer:
5
Step-by-step explanation:
to find the mean you add the numbers together, and divide by the number of numbers you're using. So, we'd do 2+8, which is 10, and then 10/2, which is 5.
Answer:
5
ADD . NUMBERS TOGETHER
DIVIDE BY TWO
SO IN THIS CASE
8+2=10
10/2=5
Step-by-step explanation:
HOPE I HELPED!!!
CAN I GET BRAINLIEST ?(DESPERATELY TRYING TO LEVEL UP)
-ZYLYNN JADE
Solve and graph |-8x|<8 help me lol
Answers
Step-by-step explanation:
|-x|<1 --> -1<-x<1 --> -1<x<1
so the graph is the striped part
What is the probability of A given B.
Answers
Answer:
3/5
Step-by-step explanation:
There are 5 students who play soccer.
Of those 5, 3 students also play basketball.
p(A|B) = 3/5
factorise
a^2-4ab+5b^2-c^2+6bc
Answers
Tammy is testing the cellphone service in a certain area for a cellphone company. The signal during the test can be modeled by sin t+3 where t is the time in seconds. Focusing on the domain 0 < t < 3 π/2, at what time is the signal the strongest?
Answers
Answer:
4.71
Step-by-step explanation:
3* pi = 9.42
9.42/2 = 4.71
Square
Move the active vertex to change the shape of the quadrilateral and
check all properties that apply.
Square
All sides congruent
Opposite sides congruent
All angles congruent
Opposite angles congruent
Diagonals congruent
OOOO
Diagonals bisect
Check
Answer shown above
Answers
Answer:
shown above
move active check
If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f circle g) (x)? (3x + 2)(x 2 + 1) 3x 2 + 1 + 2 (3x + 2)2 + 1 3(x 2 + 1) + 2
Answers
Answer:
(f circle g) (x) = 3x^2 + 5
Step-by-step explanation:
To find (f circle g)(x), we substitute function g(x) for x in f(x) = 3x + 2:
(f circle g) (x) = 3(x^2 + 1) + 2, or
3x^2 + 3 + 2, or
(f circle g) (x) = 3x^2 + 5
Answer:
(f circle g) (x) = 3x^2 + 5
Step-by-step explanation:
Use the sample data and confidence level given below to complete parts (a) through (d).
A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4144 patients treated with the drug, 124
developed the adverse reaction of nausea. Construct a 99% confidence interval fof the proportion of adverse reactions.
a) Find the best point estimate of the population proportion p.
(Round to three decimal places as needed.)
b) Identify the value of the margin of error E.
E-O
(Round to three decimal places as needed.)
c) Construct the confidence interval
(Round to three decimal places as needed)
d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
O A. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true
value of the population proportion.
Answers
Answer:
Given that,
Sample size,
n
=
4369
Sample proportion,
^
p
=
185
4369
=
0.0423
a)
The sample proportion is a point estimate of the population proportion.
^
p
=
0.0423
b)
The margin of error is defined as:
M
E
=
Z
0.10
/
2
×
√
^
p
(
1
−
^
p
)
n
Excel function for the confidence coefficient:
=NORMINV(0.10/2,0,1)
M
E
=
1.645
×
√
0.0423
(
1
−
0.0423
)
4369
M
E
=
0.005
c)
The 90% confidence interval for the population proportion is defined as:
^
p
±
z
0.10
/
2
√
^
p
(
1
−
^
p
)
n
0.0423
±
1.645
√
0.0423
(
1
−
0.0423
)
4369
(
0.0373
,
0.0473
)
Add. Simplify (or reduce) your answer, if necessary 1/4 +2/7+1/2=
Answers
Hey there! :)
Answer:
29/28.
Step-by-step explanation:
Starting with:
[tex]\frac{1}{4} + \frac{2}{7} + \frac{1}{2} =[/tex]
Begin by finding a common denominator. A number that contains all of the denominators as a factor would be 28. Change each fraction to contain a denominator of 28:
[tex]\frac{7}{28} + \frac{8}{28} + \frac{14}{28} =[/tex]
Add the fractions:
[tex]\frac{7}{28} + \frac{8}{28} + \frac{14}{28} = \frac{29}{28}[/tex]
Therefore, the fractions sum up to 29/28.
Answer:
1/4 + 2/7 + 1/2
Find a number that 4,7, and 2 have in common
List the multiples o 4,7, and 2
4,8,12,15,20,24,28,32,36,40
7,14,21,28,35,42,49,56,63,70
2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40
4,7,and 2 all have 28 so 28 is the common denominator
1/4 = 1/4 x 7/7 = 7/28
you can multiply because 7/7 = 1 so you are just multiplying by 1
2/7 x 4/4 = 8/28
1/2 x 14/14= 14/28
7/28 + 8/28 + 14/28 = 29/28 or 1 1/28
Hope this helps
Step-by-step explanation:
Which of the following represents a rotation of △LMN, which has vertices L(−7,7), M(9,9), and N(5,−5), about the origin by 90°?
Answers
Answer:
L'(-7, -7), M'(-9, 9), and N'(5, 5)
Step-by-step explanation:
Assuming you mean 90° counterclockwise, you would use the formula: A(x,y) becomes A'(-y,x)
so L'(-7, -7), M'(-9, 9), and N'(5, 5)
The question was incomplete. Please check below the full content.
Which of the following represents a rotation of ΔLMN. which has vertices L (-7,7), M (9,9), and N(5, -5) about the origin by 90°?
a) L(-7, -7) M(-9. -9) N(5, 5)
b) L(-7. -7) M(-9. 9) N(5, 5)
c) L(-7, -7) M(-9, 9) N(5, -5)
d) L (7, -7) M(9, 9) N(-5, 5)
The rotation of the vertices L (-7,7), M (9,9), and N(5, -5) are
L'(-7,-7), M'(-9,9) and N'(5,-5) respectively.
Rotation of a point :
The rotation of a point (x,y) about the origin by 90° is (-y,x).Given vertices of ΔLMN are L(-7,7), M(9,9), and N(5, -5)Let the rotations of L, M, and N are L', M', and N' respectively.
The rotation of a point L(-7,7) about the origin by 90° is (-7,-7).The rotation of a point L(9,9) about the origin by 90° is (-9,9).The rotation of a point L(5,-5) about the origin by 90° is (5,-5).Hence L'(-7,-7), M'(-9,9), and N'(5,-5) are the rotation of vertices
L, M, and N of ΔLMN about the origin by 90°.
To know more about the rotation of a point:
https://brainly.com/question/27648576?referrer=searchResults
#SPJ2
A box with a volume of 16 $\text{cm}^3$ can hold 50 paperclips. How many paperclips could a box with a volume of 48 $\text{cm}^3$ hold?
Answers
Answer:
150 paperclips
Step-by-step explanation:
set up the equation as a fraction equaling a fraction i.e. volume 16/ 50 paperclips = volume 48/ x paperclips
cross multiply so you get 16x = 2400
solve for x by dividing 2400 by 16
you should get x = 150
Which number has a repeating decimal form?
Answers
Answer:
Option D
Step-by-step explanation:
A. [tex]\sqrt{15}[/tex] = 3.87298
B. 11/25 = 0.44
C. 3/20 = 1.25
D. 2/6 = 0.333........
So, D had a repeating decimal form because it repeats the number 3.
Answer:
Step-by-step explanation:
D: 2/6. Note that 2/6 = 1/3 = 0.3333333.... (repeating decimal form)
The range of y= square root x-5-1
Answers
Answer:option 3, Y is greater than or = to -1
Step-by-step explanation:
I took it on Edge
The range of [tex]y=\sqrt{x-5} -1[/tex] is [tex][-1,\infty)[/tex].
Given,
[tex]y=\sqrt{x-5} -1[/tex].
We have to find the range of the expression.
Set the radicand in [tex]\sqrt{x-5}[/tex] greater than or equal to 0 to find where the expression is defined.
[tex]\sqrt{x-5} \geq 0[/tex]
[tex]x-5\geq 0[/tex]
Add 5 to both sides of the inequality, we get
[tex]x\geq 5[/tex]
The domain is all values of [tex]x[/tex] that make the expression defined.
Interval Notation:
[tex][5,\infty )[/tex]
Set-Builder Notation:
[tex][x|x\geq 5][/tex]
The range of an even indexed radical starts at its starting point ( 5 , − 1 ) and extends to infinity.
Interval notation:
[tex][-1,\infty)[/tex]
Hence the range of above function is [tex][-1,\infty)[/tex].
For more details on range follow the link:
https://brainly.com/question/8041076
Help Please I'm Out Of Time ;(
Find the area of the following figure.
Explain how you found your answer.
Answers
Answer:
Total area = 31.5 unit²
Step-by-step explanation:
Assume 1 block = 1 unit²
Divide diagram into 3 part
1. 5 by 5 block square
2. 2 by 2 block triangle(1)
2. 3 by 3 block triangle(2)
Area of square = side × side
Area of square = 5 × 5
Area of square = 25 unit²
Area of triangle(1) = [1/2][base][height]
Area of triangle(1) = [1/2][2][2]
Area of triangle(1) = 2 unit²
Area of triangle(2) = [1/2][base][height]
Area of triangle(2) = [1/2][3][3]
Area of triangle(2) = 4.5 unit²
Total area = Area of square + Area of triangle(1) +Area of triangle(2)
Total area = 25 unit² + 2 unit² + 4.5 unit²
Total area = 31.5 unit²
Three friends have a total of 6 identical pencils, and each one has at least one pencil. In how many ways can this happen?
Answers
Answer:
9 possible scenarios
Step-by-step explanation:
Friend 1: Friend 2: Friend 3:
1 pencil 2 pencils 3 pencils
1 3 2
2 1 3
2 3 1
3 2 1
3 1 2
4 1 1
1 4 1
1 1 4
Find the number of 4-digit numbers that contain at least three odd digits.
Answers
Answer:
Total number = 3000
Step-by-step explanation:
Odd digit numbers = 1,3,5,7,9
Total no. of odd digit numbers = 5
Numbers which aren't odd = 0,2,4,6,8
Total no. which aren't odd = 5
For a 4 digit number.
If all Fours digits are odd:
Total numbers = 5×5×5×5 = 625
If first digit is not odd and last three digits are odd:
Total numbers = 4×5×5×5 = 500
(0 cannot be put at first digits place)
If second digit is not odd and rest three digits are odd:
Total numbers = 5×5×5×5 = 625
If third digit is not odd and rest three digits are odd:
Total numbers = 5×5×5×5 = 625
If fourth digit is not odd and rest three digits are odd:
Total numbers = 5×5×5×5 = 625
Add all of them we get:
Total number = 625+500+625+625+625 = 3000
Ok I added the Pics to make it easy
Answers
Answer:
Bill and Ted are going to order t-shirts for there school clubs. The t-shirts will have the club logo printed on the front. Bill and Ted ask two local t-shirt companies to give them a price. * Patty's Printing charges $21.50 for each t-shirt. * Sandra's shirts has a one-time set up fee for $63 and then charges $18 for each t-sh
Step-by-step explanation:
Part 2: Table Chart:
Number of t-shirts: 2
Patty's cost: 43$
Sandra's cost: : 99$
Number of t-shirts: 4
Patty's cost: 86$
Sandra's cost: : 135$
Number of t-shirts: 6
Patty's cost: 129$
Sandra's cost: : 171$
Number of t-shirts: 8
Patty's cost: 172$
Sandra's cost: : 207$
Number of t-shirts: 10
Patty's cost: 215$
Sandra's cost: : 243$
Number of t-shirts: 12
Patty's cost: 258$
Sandra's cost: : 279$
Number of t-shirts: 14
Patty's cost: 301$
Sandra's cost: : 315$
Number of t-shirts: 16
Patty's cost: 344$
Sandra's cost: : 351$
Number of t-shirts: 18
Patty's cost: 387$
Sandra's cost: : 387$
Part 3: Patty's Printing
Linear equation = equation of a line= y=mx+b
y=21.5x
Part 4: Sandra's Shirts:
Linear equation = equation of a line= y=mx+b
y= 18x+63
Part 5: Note to Jackie
Dear Jackie, I recommend Sandra's shirts.
Write equations:
Sandra's Shirts = 18x+63
Patty's Printing = 21.5x
Sandra's Shirts: 495=18x+63 = 24 shirts
Patty's Printing: 495=21.5x = 23 shirts
Part 6: Refute Jackie
Sandra's Shirts is more expensive at the beginning, but as you buy more shirts (greater than 18), Patty's Printing becomes cheaper.
You should probably add to this, but I can't think of anything else.
Part 7: Equality
At 18 shirts (see table), the shirt cost is equal.
You should probably add to this, but I can't think of anything else.
18x+63=21.5x
Words of encouragement:
Good luck!
C (SUMMER 2021) - 793033
KIN
Relations and Functions
Instruction Active
TRY IT Test Whether This Graph Is a Function
Drag the red vertical line to find the y-values:
Orange graph> when x 1, y =
Blue graph when x 1. y =
RETRY
1) Intro
web and Windows
a
A do
Answers
Answer:
Orange graph: -2
Blue graph: -2 or 2
Just did it on edge
Two students use different methods to solve this multiplication problem: 1/2 • -4 4/5 Read each of their methods below and then enter numbers to correctly complete their work.
Answers
Answer:
-2 2/5
Step-by-step explanation:
Barbara's method:
[tex]\frac{1}{2}*-4\frac{4}{5}=\frac{1}{2}*\frac{-24}{5}=\frac{-12}{5}=-2\frac{2}{5}\\[/tex]
Christopher's method:
[tex]\frac{1}{2}*-4\frac{4}{5}=\frac{1}{2}*(-4+\frac{-4}{5})=\frac{1}{2}*-4+\frac{1}{2}*\frac{-4}{5}=-2+\frac{-2}{5}=-2\frac{2}{5}\\[/tex]