Answer:
Simple springs obey Hooke's Law. Hooke's Law states that the force on a spring is proportional to it's displacement from it's resting length:
F = -k*x
Where F is the force, x is how far the string is stretched or compressed, and k is a proportionality constant called the spring constant. The negative sign is because the spring resists stretching.
In this case, we can solve for k using the first case:
(100N) = -k * (5cm)
k = ???
And plug that answer in to find x in the second case:
(360N) = -k * x
This is a "Hooke's Law" problem: the restoring force required to compress or stretch a spring is proportional to the distance the spring is deformed. You can figure solve it by setting up a proportion equation and then using the algebraic tool of cross multiplication to solve for the unkown "stretch".
1) set up the proportion equation
100 = 360
5 x
2) cross multiply to get a linear equation
100x = 5*360
3) solve for x
100x = 1800
x = 18
Upvote
•
1
Downvote
Add comment
Answer:
The law: F=kx
Therefore,
180N = k * 5cm
k = 180÷5= 36N per cm
Using the known constant with the law,
270=36*x
x= 270 ÷ 36 = 7.5cm
3 1/4 divided by 5 1/3
Answer:
0.609375 or 39/64
decimal ------- fraction
Step-by-step explanation:
please help me thanks
Answer:
18 crayon in both boxes.
Step-by-step explanation:
Asked: Greatest number of equal crayons in both boxes.
Facts:
Number of crayons in pack 1 = 24
Number of crayons in pack 2 = 12
Total crayons in both packs = 24 + 12 = 36
Plan:
If both packs need to have equal crayons, then it should be dived by 2.
Solution:
36 ÷ 2 = 18
What’s 30 minutes from 12:42
The correct answer: 01:12 A.M. OR 13:12 P.M.
First, decompose 30, 18 + 12 = 30.
Since 12:42 Minutes + 18 Minutes
is equal to 13:00, then add the remaining 12 Minutes, completing a total of 01:12 a.m. OR 13:12 P.M.
MARK "BRAINLIEST" FOR MORE GREAT CONTENT!
Please help me I need help
Answer:
10
Step-by-step explanation:
Use Pythagorean theorem,
Base² + altitude²= hypotenuse²
8² + altitude² = (2√41)²
64 + altitude² = 2²*(√41)² {(√41)² = √41*√41 = 41}
64 +altitude² = 4 * 41
64 +altitude² = 164
altitude² = 164 - 64
altitude² = 100
altitude = √100 = 10
Jennifer has run many marathons and keeps track of all of her finishing times. At a marathon last month, she finished in 350 minutes. The other day, she ran another marathon and finished with a time of 406 minutes. What is the percent of increase in Jennifer's marathon time?
Answer:
16%
Step-by-step explanation:
406 / 350 = 1.16
406 is 116% of 350
so 350 + 16% is 406
because 350 * 0.16 = 56
56 is 16%
350 + 56 = 406
:)
A bank fee increased by 200% from $7.20. What is the charge for the new bank fee
Hello!
Answer:
21.6
Steps:
7.20 increase 200% =
7.20 × (1 + 200%) = 7.20 × (1 + 2) = 21.6
Giving right answer branleist
Answer:
...probably
Step-by-step explanation:
since it's square units and this is a right triangle
area = (width * height) / 2
area = 6 * 3 / 2
area = 18 / 2
area = 9 square units²
Answer:
9 [tex]units^{2}[/tex]
Step-by-step explanation:
The formula to find the area of a triangle is [tex]A=\frac{1}{2}b*h[/tex] where b is the base or bottom of the triangle and h is the height of the triangle.
The base of the triangle in the picture is 6 units.
The height of the triangle in the picture is 3 units.
Substituting these values into the area formula:
[tex]A=\frac{1}{2}(6*3)=\frac{1}{2}(18)=9[/tex]
So the area of the triangle is 9 [tex]units^{2}[/tex]
1.4×10−5 and 2.8×10−4
Answer:
1 : 9
2 : 24
Step-by-step explanation:
Answer:
9 < 24
Step-by-step explanation:
1.4 x 10 = 14
14 - 5 = 9
2.8 x 10 = 28
28 - 4 = 24
I am assuming this is an inequality.
Hope This Helps!
A good first
step to solve
4(X-9)=36
would be
to
Answer:
Use the distriputive property which would give you:
4x-36=36
Step-by-step explanation:
what is the slope of 8x-2y-1=0?
Answer:
4
Step-by-step explanation:
Answer:
4 is the answer
good luck
Select the correct answer. What is the slope of the line that goes through the points (-4,1) and (4,-5)?
A. -4/3
B. -3/4
C. 3/4
D. 4/3
Answer:
b
Step-by-step explanation:
edge2020
Anyone please help me to solve this problem Fast fast plz plz
please.
[tex] - \frac{2}{ \sqrt{2} } \\ \\ in \: \: alternate \: \: form \\ \\ = - 0.7070107[/tex]
hope it helps
Brenda thought of a number divided it by 5 and then added seven to her answer she got the final number 11 what was her starting number
Answer:
20
Step-by-step explanation:
lets assume the number she thought of was x
[tex] \frac{x}{5} [/tex]
then she added 7 to it and got 11
[tex] \frac{x}{5} + 7 = 11[/tex]
l.c.m
[tex] \frac{x + 35}{5} = 11[/tex]
cross multiply
[tex]x + 35 = 11 \times 5[/tex]
[tex]x + 35 = 55 [/tex]
[tex]x = 55 - 35[/tex]
x = 20
What will be the coordinates of the point A(7, -2) after a reflection across the y axis? *
Answer:
I believe it should be (-7,-2)
Step-by-step explanation:
Anyone know these answers for math??
Answer:
7) No
8) Yes
Step-by-step explanation:
7) 15 + 2y = -12 - 4y when y = -0.5
15 + (2*-0.5) = -12 - (4*-0.5)
15 + -1 = -12 - (-2)
15 - 1 = -12 + 2
14 = -10
The numbers are different on both sides so -0.5 is not a solution
8) 5 - 2( 3x + 5 ) = 3 - 10x when x = 2
5 - 2( (3*2) + 5 ) = 3 - (10*2)
5 - 2( 6 + 5 ) = 3 - 20
5 - 2*11 = 3 - 20
5 - 22 = 3 - 20
-17 = -17
The numbers are similar on both sides so 2 is a solution
Find 9% of $2005.00
Can anyone answer this ASAP!!!
Step-by-step explanation:
= [tex]\frac{9}{100}[/tex] × [tex]2005[/tex]
= [tex]\frac{3609}{20}[/tex]
= [tex]180\frac{9}{20}[/tex] or 180.45
please give me a brainliest answer
a wheel has diameter 84cm.During a journey the wheel make 800 complete revolutions. how many meter does it travel?
Answer:
2110.08 meters
Step-by-step explanation:
find the circumference of the wheel
Divide 84 by 2 to find the radius.
84/2=42
C=2πr
C=2(3.14)(42)
C=263.76 cm
263.76*800=211008cm
Divide by 100 to convert to meters
211008/100=2110.08
2110.08 Meters
Hope this helps!
helppppppppppppppppppppppppppppppppppppppppppp
Answer:
hope you like my answer its 2/7
2. Deon wants to find the perimeter of a square with side length 6m - 3. Write two expressions that represent the perimeter, including one expression in simplest form. Perimeter of a square- p = 4(s) or p = s + s + s + s
Step-by-step explanation:
The perimeter of the given square is: a + a + a + a = 4 a units. Hence, the formula of the perimeter of a square = 4 × (length of any one side).
The expressions that represent the perimeter of the square are p = 4(6m-3) and p = 24m - 12. And p = 24m - 12 is the simplest form of the expression.
What is perimeter?A closed shape's perimeter is the sum of the lengths of its outside boundaries. The lengths of all the sides are added to determine the measurement.
Given:
The side of the square is 6m-3 unit.
And all the sides of the squares are equal.
And the perimeter p of the square is,
= the sum of all the sides.
p = 4 x one side.
p = 4(6m-3)
The above expression represents the perimeter of the given square.
Simplifying,
p = 24m - 12
This is the simplest form of the expression.
Therefore, the required expression are p = 4(6m-3) and p = 24m - 12.
To learn more about the perimeter of a shape:
https://brainly.com/question/28161250
#SPJ2
Needing help thanks!
erica recorded the number of sales she made during each of the first 4 months when she began her new career erica plottedthe data on a coordinate grid and she noted that the data correlate to an exponential equation as shown (image attached)
What is the domain of the function shown in the graph?
The domain of the function from the graph.
{10, 20, 40, 80}.
Option B is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The coordinates from the graph:
(1, 10), (2, 20), (3, 40), (4, 80)
The domain of the function from the graph.
= 10, 20, 40, 80
Thus,
From the graph, the domain of the function
{10, 20, 40, 80}.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ1
no need for explanation jsut answer
Answer:
y=4 because 8x4=32
32-2 =30
30+60=90
Answer:
the value of y is 4, so 8(4)-2 are 30 , then 30 degrees are the angle
What is the slope of the line that passes through the points (-10, 9)(−10,9) and (-12, 7) ?(−12,7)? Write your answer in simplest form
Answer:
I Had A Problem In This Too Lol Here Was Correct For Me
Step-by-step explanation:
Identify the coordinates (x₁,y₁)and(x₂,y₂). We will use the formula to calculate the slope of the line passing through the points (3,8) and (-2, 10).
Input the values into the formula. This gives us (10 - 8)/(-2 - 3).
Subtract the values in parentheses to get 2/(-5).
Simplify the fraction to get the slope of -2/5.
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}x_{1} }[/tex]
with (x₁, y₁ ) = (- 10, 9 ) and (x₂, y₂ ) = (-12, 7 )
m = [tex]\frac{7-9}{-12-(-10)}[/tex] = [tex]\frac{-2}{-12+10}[/tex] = [tex]\frac{-2}{-2}[/tex] = 1
Angle A and B are complementary
m∠A= (x - 4)°
m∠B= (2x + 7)°
Can you solve this for me please!!
Answer:
Step-by-step explanation:
x-4+2x+7=90
3x+3=90
-3 -3
3x=87
x=29
m<A= 29-4
=25
m<B=2(29)+7
=58+7
=65
Compare the weather on two different days using an inequality. Then see if their comparisons change by finding the absolute value of each.
Day 1:
Day 2:
Inequalities are used to compare unequal expressions.
The actual comparison is:[tex]\mathbf{-3.5 < 5}[/tex] or [tex]\mathbf{5 > -3.5}[/tex]
The temperatures are given as:
[tex]\mathbf{Temperature = -3.5F,\ \ 5F,\ \ 1.5F,\ \ -0.5F,\ \ -2F,\ \ 2.5F,\ \ -4F}[/tex]
From the above list, we have:
[tex]\mathbf{Day \ 1= -3.5F}[/tex]
[tex]\mathbf{Day \ 2= 5F}[/tex]
By comparison,
[tex]\mathbf{-3.5 < 5}[/tex] or [tex]\mathbf{5 > -3.5}[/tex]
Using absolute values, the inequalities are:
[tex]\mathbf{|-3.5| < |5|}[/tex] or [tex]\mathbf{|5| > |-3.5|}[/tex]
Hence, the actual comparison is:
[tex]\mathbf{-3.5 < 5}[/tex] or [tex]\mathbf{5 > -3.5}[/tex]
Read more about inequalities and absolute values at:
https://brainly.com/question/24797699
in fiq Q.3 measure the angle which the ladder makes with (I) the ground (2) the wall
Step-by-step explanation:
for measuring the angle use the protractor !
help ill give brainly
Answer:
The answer would be 26%
Step-by-step explanation:
Answer:27
i think that 27 is the answer
PLSSS HLEPP ME OUTT ITS URGENTTTT
Answer:
76 and 19 are the answersHEY CAN ANYONE PLS ANSWER DIS MATH QUESTIONN!!!!!!!
Answer:
Step-by-step explanation: what is the question?
t (x) = 5x^2- 3x+4, what is the value t (-3)?
Which one of the options is the correct simplified one, please help.
I have it attached
Answer:
E see below
Step-by-step explanation:
When dividing two fractions, you flip the second fraction over then multiply.
So the equation would then be:
3xy (2 + y) ab
--------------- X --------------
2ab 3xy
The 3xy on top and bottom cancel each other out. The ab on top and bottom cancel each other out.
So you are left with:
2 + y
-------
2
Answer: Number E is correct.
Step-by-step explanation:
division becomes multiplication and turns upside down. ab cuts ab and 2 remains as denominator. 3xy cuts 3xy and 2+y remains as numerator. Therefore the answer obtained is 2+y/2.