Answers
Answer:
[tex]\displaystyle x=\sqrt{\frac{2U}{k}}[/tex]
The third option is the correct answer.
Step-by-step explanation:
Equation Solving
We have the following equation:
[tex]\displaystyle U=\frac{1}{2}kx^2[/tex]
And it's required to solve it for x.
To solve this equation we need to perform some operations to have the x isolated from any other variables, constants, or operations.
This will be done by conveniently operating on both sides as follows:
Eliminate the denominator by multiplying by 2:
[tex]\displaystyle 2U=kx^2[/tex]
Move k to the other side by dividing by k:
[tex]\displaystyle \frac{2U}{k}=x^2[/tex]
Swapping sides to have x at the left side:
[tex]\displaystyle x^2=\frac{2U}{k}[/tex]
Taking the square root:
[tex]\mathbf{\displaystyle x=\sqrt{\frac{2U}{k}}}[/tex]
The third option is the correct answer.
Related Questions
Hi I need help with this question
Answers
Find the greatest common factor between 18 and 60? Help me or I die.....Jk help me plz
Answers
Step-by-step explanation:
I dont know the answer exactly but to find the greatest common factor you have to find out like the numbers that go into the timetable your talking about like e.g a factor of 18 would be 6,3,2 etc. once you have done that between both of them then you have to find the same numbers between them. and that's the answer. hope it helped I'm not exactly good at explaining
If f(x) = 3x + 2, what is f(5)?
O A. 1
OB. 10
O C. 17
O D. 13
Answers
Answer:
Option C
Step-by-step explanation:
[tex]f(x)=3x+2\\\\f(5)=3(5)+2\\\\f(5)=15+2\\\\\boxed{f(5)=17}[/tex]
Hope this helps.
Given:
f(x) = 3x + 2
To Find:
f(5)
Answer:
C. 17
Step-by-step explanation:
Evaluate 3x + 2 where x = 5:
[tex] \longrightarrow [/tex] 3 × 5 + 2
3 × 5 = 15:
[tex] \longrightarrow [/tex] 15 + 2
15 + 2 = 17:
[tex] \longrightarrow [/tex] 17
A biologist begins working with a sample containing 20,000 bacteria. The population size doubles every 10 days according to the equation p(t)=20,000(2)^t/10, where t represents the number of days. After seven days the biologist begins working with a second sample of 20,000 bacteria. The equation used to represent the population of sample 2 after t days is p(t)=20,000(2)^t-7/10. Which of the following is an equivalent form of the equation for the population of sample 2?
Answers
Answer
p(t) = 20,000^10 root of 2^t/10 root of 2^7. i think
Step-by-step explanation:
Jeff has two sticker-printing machines. Each machine can print 42 stickers per minute. On day 1, only the first machine was used, and it printed 89 stickers. On the following day, the first machine printed for x minutes and the second machine printed for y minutes. Which expression shows the total number of stickers printed by both machines during these two days? (1 point) a 131x + 42y b 42 + 89x + y c 89 + 42x + 42y d 89x + 84y
Answers
Answer:
c 89+42x+42y
Step-by-step explanation:
On day 1 :
First Machine= 89 stickers
Second Machine= none
On day 2 :
First Machine= ? stickers ( if in 1min = 42stickers
x min=?
( x min/1 min × 42stickers)
=42x stickers.
Second Machine=?stickers ( if in 1min = 42stickers
y min=?
( y min/1 min × 42stickers)
=42y stickers.
Total = 89 + 42x + 42y
5. Choose the equation of a line that is perpendicular to the given line and that passes through the given
point.
4x - 12y = 2; (10,-1)
A.) y=3x + 29
B.) y=--x+29
3
C.) y=-3x + 29
D.) y=--x+7
Answers
Answer:
Step-by-step explanation:oh
solve.
1/x = 1/5x = x-1/5x
Answers
Answer:
5=x=x-1
Step-by-step explanation:
Mutiply each equation by 5x
You will get 5=x=x-1
is the order pair (-5,9) a solution to the equation y = 5x -4
Answers
Answer:
No
Step-by-step explanation:
9=5(-5)-4 is not correct, 5(-5)-4 is actually -29 so no, the coordinates are not a solution to the equation.
Solving Steps:
find the x and y intercept
y=5x-13
Answers
Answer:
X int = 13/5 Y int= -13
Step-by-step explanation:
Please help me out!!!!!
Answers
in standerd form what is the answer to y=6x-1 looking for x
Answers
Answer:
x=1/6 or 1.16 (6 repeating) or x=6^-1
Step-by-step explanation:
y=6x-1
substitute y =0
0=6x-1
Move the variable to the left
-6x =-1
Divide on both dies
-6 - 5 + 3 =
(worth 10 points)
Answers
Answer:
-8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
Mark me as brainliest
Lin runs 3 laps around a track in 6 minutes how many laps per minute it that
Answers
Answer:
half a lap per minute is the answer
which of these equations represents a line parallel to the graph of the equatioN
y=-1/3x-5
Answers
Answer:
[tex]y=-\frac{1}{3}x\pm c[/tex]
Step-by-step explanation:
The equation of two parallel lines is such that they have the same slope, when in written in slope intercept form.
Consider one straight line: [tex]y_{1}=mx_{1}+c_{1}[/tex].
Then the line parallel to the above line will be:[tex]y_{2}=mx_{2}+c_{2}[/tex]
The equation of a straight line provided is:
[tex]y=-\frac{1}{3}x-5[/tex]
Then the line parallel to this line will be of the form:
[tex]y=-\frac{1}{3}x\pm c[/tex]
i need help with this
Answers
Answer:
y= -5x+3
Step-by-step explanation:
Just replace the m and b by the m and b values they gave you
y=-5x+3
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Please help me ASAP
:D
Answers
Answer: I think it 616lbs not 100% sure
Step-by-step explanation:
10^2 = 100 + 64 sweet potatoes = 164
10^1 = 10+80 tangerines= 90
10^3= 300 + 62 spaghetti squash = 362
HELP ME AND ILL GIVE U 30 POINTS PLEASE!!!
Stojan has money automatically deposited into a savings account each week. After 2 weeks, he has $14. After 4 weeks he has $28. The unit rate is measured in dollars per week. What is the constant proportional?
Answers
Plz mark brainliest if you found this helpful❤️
Answer:
7
Step-by-step explanation:
The amount of money spent at the gas station varies directly with the number of
gallons purchased. When 12 gallons of gas were purchased, the cost was $39.36. How
much would 9 gallons of gas cost?
Answers
Answer:
$29.52
Step-by-step explanation:
39.36/12
=3.28
3.28*9
=29.52
PLS GIVE BRAINLIEST
3.28*9=29.52
For which equations is the solution for x the same number?
i. 15 - X = -3
ii. x/2 + 6 = 15
iii. -1/3x - 5.7 = 0.3
O A. i and ii
O B. i and iii
O C. ii and iii
O D. i, ii and iii
O E. none of the questions
Answers
Answer:
A. i and ii
Step-by-step explanation:
i) 15 - x = -3
x=18
ii) x/2 + 6 = 15
x/2 = 9
x= 18
iii) -1/3x -5.7 = 0.3
-1/3x = 6
x = -18
A concession stand sells walking tacos for $1.25 per taco.
At most, how many walking tacos can you buy if you have $9.00? Use t for tacos as your variable.
How many tacos can you buy?
Answers
t = 7.2
You can buy 7 tacos
The perimeter of a flower garden with three sides is 46 feet. One side of the garden is 11 feet long. Another side of the garden is 13 feet long. What is the length of the third side? Enter your answer in the box. feet
Answers
Answer:
22ftStep-by-step explanation:
Step one:
given that the orientation of the garden is a triangular shape(it has three sides)
the perimeter is given as=46ft
one side y=11ft
the second side z= 13ft
let the third side be xft
Step two:
the expression for the perimeter = z+y+x
46=11+13+x
46=24+x
solve for x
x=46-24
x=22ft
Therefore the third side is 22ft long
16 points
1) Write the following in standard form (answer). *
4^5
Answers
Answer:
1024
Step-by-step explanation:
You could put 4^5 into your calculator. It’s 4*4*4*4*4= 1024
.
Find the measure of ∠3.
45°
90°
135°
Answers
Shannon paid $57.25 for 28 pounds of potatoes. Shannon estimated the cost per pound to be $3.00. What is her error?
Answers
Answer:
She rounded her estimation up.
Step-by-step explanation:
Shannon paid $57.25 for 28 pounds ($57.25÷28=2.0446428571)
If you round the answer to the nearest dollar, you'll look at the number in the tenths place (0). Zero is not 5 or greater. That makes the 2 stay the same.
Anybody taking the ACT this year??
Answers
Answer:
Nope not this year, hbu?
I already took it! If you need help on it Email me "kaylleissad" :D
What is the value of p? Please provide an explanation, thanks!
Answers
Answer:
p = 2?
Step-by-step explanation:
6 - 4 = 2
4 + _ = 6 (2)
2 + 2 = 4
Answer:
Step-by-step explanation:
6p - 4 + 4p + 6 + p + 2 = 180
11p + 4 = 180
11p = 176
p = 16
WILL MARK BRAINLIEST!! PLEASE HELP ASAP.
1. If a scooter travels 36 miles on just 3 gallons of gas, how far will it travel on 16 gallons of gas?
2. A babysitter earns $28.50 for 2 hours of work. If she gets paid $99.75, then how many hours did she work?
3. A moose travels 4.5 kilometers in 5 hours. How far will it travel in 60 hours?
4. If 3 cm. of silver chain costs $9.60, then how much chain will $22.40 buy?
5. If a train ticket costs $145.50 to travel 50 miles, how far will $552.90 allow you to travel?
6. If $239.85 buys 369 liters of oil, then how much oil will $1.95 buy?
7. If you travel 220 miles in 66 hours, how far will you travel in just 3 hours?
8. If a gallon of aviation fuel costs $17.50, then how much will 8.2 gallons cost?
9. A snail crawls 7 cm in 2 minutes. At this rate, how far will it travel in 13 minutes?
10. If 17 kg of fertilizer covers 4 acres, how many kg will be needed to cover 244 acres?
11. How much will 4.4 gallons cost if 1 gallon costs $2.85?
12. Lunchmeat costs $2.50 for 5 oz. How much lunch meat will $32.50 buy?
(PLEASE EXPLAIN HOW YOU GOT THE ANSWER PLSS)
Answers
Answer:
you bad
Step-by-step explanation:
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let f(x)= p+ 8/x-q. the line x=4 is a vertical asymptote to the graph of f. what is the value of q and p, if the y intercept is (0,4)?
Answers
Answer:
The value of q and p is 4 and -24 respectively.
Step-by-step explanation:
Being [tex]f(x)=\frac{p+8}{x-q}[/tex] , the line x=4 is a vertical asymptote to the graph of f(x). The line r is an asymptote of a function if the graph of the function is infinitely close to the line r. That is, an asymptote is a line to which a function approaches indefinitely, without ever touching it.
Being a rational function that which can be expressed as the quotient of two polynomials, a vertical asymptote occurs when the denominator is 0, that is, where the function is not defined. In this case:
x - q= 0
Solving:
x= q
Being the line x=4 the vertical asymptote, then
4=q
Then the function f (x) is:
[tex]f(x)=y=\frac{p+8}{x-4}[/tex]
The y intercept is (0,4). This is, x= 0 and y=4. Replacing:
[tex]4=\frac{p+8}{0-4}[/tex]
Solving:
[tex]4=\frac{p+8}{-4}[/tex]
4*(-4)= p+8
-16= p+8
-16 - 8= p
-24= p
The value of q and p is 4 and -24 respectively.
the endpoint of ab are a(-7, -6) and b(5,6) what are the coordinates of point c on ab that is 1/3 the distance from point a to point b
Answers
Answer:
The coordinates of c are (-3,-2)
Step-by-step explanation:
We have the coordinates of a=(-7,-6) and b=(5,6). We need to find the coordinates of a point c=(x,y) such that:
[tex]d_{ac}=1/3 d_{ab}[/tex]
The coordinates x and y have the same relation as the distance:
[tex]x_{ac}=1/3x_{ab}[/tex]
Or, equivalently:
[tex]x_a-x=\frac{1}{3}(x_a-x_b)[/tex]
Multiplying by 3:
[tex]3x_a-3x=x_a-x_b[/tex]
Operating:
[tex]3x_a-x_a+x_b=3x[/tex]
[tex]2x_a+x_b=3x[/tex]
Dividing by 3:
[tex]x=\frac{2x_a+x_b}{3}[/tex]
Similarly:
[tex]y=\frac{2y_a+y_b}{3}[/tex]
Substituting:
[tex]x=\frac{2*(-7)+5}{3}=-3[/tex]
[tex]y=\frac{2*(-6)+6}{3}=-2[/tex]
The coordinates of c are (-3,-2)
Someone help ASAP
I don’t understand
Answers
Answer:
[tex]\sqrt{49}[/tex] and 1/4 are rational numbers
Step-by-step explanation:
others are not rational numbers because the decimals goes on forever.
Ex. [tex]\sqrt{7}[/tex]=2.64575.....
4/9=0.444444444...
pi goes on forever
