The answer is 3 ft-lb.
What is the natural length of a spring?The spring's length without any attached mass is its natural length. Assuming the spring abides with Hooke's law The spring exerts a force Fs=kL if its length is altered by an amount L from its normal length, where k is a positive quantity known as the spring constant.W = 12kx2 is the amount of work required to stretch a spring x distances from its equilibrium point. Calculation information: (a) The formula is as follows: F = mg = (4 kg)(9.8 m/s2) = 39.2 N. x = 0.025 m.The spring's length at equilibrium is the length it has when no external forces are exerting any force on it. This is how spring naturally exists.
Beyond its natural length:
Work done to strech the spring to a lentgh x = 0.5 * k * x^2
Now;
12 = 0.5 * k * 9
k = 8/3 = 2.667
9 in = 1.5 ft
Work needed to stretch it 9 in. beyond its natural length = 0.5 * 2.667 * 1.5*1.5 = 3 ft-lb
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SECOND TIME ASKING
WILL GIVE BRAINLIST TO BEST ANSWER
Julia drove a car 10 miles in 30 minutes. Jasmine drove a motorcycle 3 miles in 12 minutes. who drove faster? show work!
Julia = 10 miles in 30 minutes
Jasmine = 3 miles in 12 minutes
Julia= 10/30 *2 = 20/60. Julia drove 20 mph
Jasmine= 3/12*5= 15/60. Jasmine drove 15mph
Julia drive faster.
Write each equation in logarithmic form.
8=(1/2)⁻³
The logarithmic form of 8 = (1/2)⁻³ is given by log₍₁/₂₎(8) = -3.
The logarithm is exponentiation's opposite function in mathematics. This means that the logarithm of a fixed number, base b, represents the exponent to which that fixed number must be raised in order to create a particular number x.. The logarithm counts the number of times the same factor appears during repeated multiplication in the simplest scenario.
The given exponential form of the equation is 8 = (1/2)⁻³
To transform this exponential form into logarithmic form, we are requested.
Consider the given exponential form: 8 = (1/2)⁻³
Taking logarithm on both sides with the base as (1/2), we get,⇒ log₍₁/₂₎(8) = log₍₁/₂₎(1/2)⁻³
Now using the logarithmic rule logₐ(aⁿ) = n × logₐ(a) in the RHS of the above equation, we get
⇒ log₍₁/₂₎(8) = (-3) × log₍₁/₂₎(1/2)
⇒ log₍₁/₂₎(8) = (-3) × 1
(Since logₐ(a) = 1, for a > 0)
⇒ log₍₁/₂₎(8) = -3
Therefore, the logarithmic form of 8 = (1/2)⁻³ is given by log₍₁/₂₎(8) = -3.
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Solve the following radical equations.
2√x =√(x+1)
The solution for the radical equation 2√x =√(x+1) is x=1/3
The phrase "algebraic expression" refers to any arrangement of terms that have undergone operations like addition, subtraction, multiplication, division, etc. (or variable expression).. Let's use the equation 5x + 7 as an example. Thus, 5x + 7 is an illustration of an algebraic expression.
Eliminate the radical on the both sides by squaring on both sides-
Both sides must be raised to the second power
(2√x)²=(√x+1)²
After squaring we get 4x=x+1
Solving the equation-
We get rearranged equation as 4x=x+1
3x=1 x=1/3
Check if the solution is correct by putting it in original equation-putting x=1/3 in the equation 2√x =√(x+1)
2×√1/3=√1/3+1
4/3=4/3
Therefore, the solution for the radical equation 2√x =√(x+1) is x=1/3.
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add 8 in the hundreds place 724,062.58
Answer:
724,862.58
Step-by-step explanation:
7 (hundred thousands)
2 (ten thousands)
4 (one thousands)
,
0 (hundreds)
6 (tens)
2 (ones)
.
5 (tenths)
8 (hundreths)
Answer:
I think that your answer would be 724,862.58
Step-by-step explanation:
PLSS HELPP MEE!!!!!! A biker traveled 20 miles in 4 hours. A unit rate to describe this would be 5 miles per hour. What is another unit rate in this situation? (4 points)
a
1 over 5 mile per hour
b
1 over 5 hour per mile
c
1 mile per hour
d
5 hours per mile
Answer:
5miles : 1hour
Step-by-step explanation:
source: trust me
no really dont
please help asap thank you sm
The correct option B: (-9/4 × 3/2)×(6/3 × 5/7) = -9/7×(3/2×6/3)×5/7 is the associative property of multiplication.
What is defined as the associative property of multiplication?"Associate" means to join or connect with something. The associative property of multiplication states that when multiplying three numbers, the end result will always be the same regardless of how the numbers are grouped.The associative property of multiplication refers to the fact that the order in which three numbers are multiplied has no effect on the result.Because multiplication is built on addition, the associative property is only after addition and multiplication. Subtraction and division are not subject to the law of associativity.The formula for associative property of multiplication is-
a×(b×c) = (a×b)×c
For four digits;
(a×b)×(c×d) = a×(b×c)×d
Thus, from the given option the condition for associative law is only satisfied in option B.
(-9/4 × 3/2)×(6/3 × 5/7) = -9/7×(3/2×6/3)×5/7
Thus, the correct option for the associative property of multiplication s chosen.
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write an equation that illustrates the following:a number with two decimal places multiplied by a number with one decimal place.The product only has two nonzero digits.
PLEASE HELP ME FAST
best answer gets the brainiest
The equation which illustrates and meets the conditions given is 1.25 × 0.2
How to illustrate the information?First number = 1.25
First number = 1.25Second number = 0.2.
Product = 0.25
First number, x = 1.25
First number, x = 1.25 Second number, y = 0.2
= first Number × second number
= 1.25 × 0.2
= 0.25
Evaluating the result : 0.25
Number of digits = 3
Non - zero digits = 2
There are several values of x and y that will satisfy the 3 conditions given.
Therefore, the product of the values 1.25 and 0.2 gives the required output
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A student wants to save $ 8000 for college in five years. How much should be put into an account that pays 5.2% annual interest compounded continuously?
- What information do you know?
The amount that should be put into account is $6171.88
The formula for the compounded continuously is
[tex]A = P(1 + {r}/{n})^{tn}[/tex] (1)
where , A = future amount or the final amount
P = principal amount to be invested
r = annual interest rate
t = time
n = number of compounding in a year
According to the question we have been given that
A = $8000
r = 0.052
t = 5
n = 12
putting the required values in equation (1) we get
8000 = P(1 + 0.052/12)^(5*12)
8000 = P (1.004)^60
8000 = P*1.27
P = 8000/1.27
P = $6171.88
Thus the amount that should be put into account is $6171.88
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I know the answer this is the see what you know.
Think of a number 3-8
Multiply
If you can’t then add it 5 times
Tell me what you got
Answer:
I think about 5
5+5+5+5+5
25.
Question 10
When choosing a loan, which of the following scenarios is best?
1Points
A
lower APR, shorter loan, and extra principal payments
B
lower APR, longer loan, and extra interest payments
C
higher APR, shorter loan, and make interest payments
When choosing a loan, the best scenario is lower APR, shorter loan, and extra principal payments.
How to illustrate the information?A loan is a type of debt that a person or other entity incurs. The lender advances the borrower a certain amount of money, typically on behalf of a business, financial institution, or government. The borrower accepts a specific set of terms in return, which may include any financial costs, interest, a repayment schedule, and other requirements.
APR represents the total yearly cost of a loan to the borrower, including all fees. The APR is stated as a percentage, just like an interest rate. It does, however, contain other costs or fees such as mortgage insurance, the majority of closing costs, discount points, and loan origination fees, unlike an interest rate. It should be noted that the APR simply means the annual percentage rate which is the interest that's generated on the amount borrowed.
Therefore, it should be noted that when choosing a loan, the best scenario is a lower APR, shorter loan, and extra principal payments
This is important in order to reduce the value that the person will pay and make it easier to return the loan.
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Can someone please help me with this it would mean so much-
Answer:
124°
Step-by-step explanation:
MLI=56°
JIG=180°-56°
=124°
What is it? Do y’all know
Answer: I believe it is ZERO
Step-by-step explanation:
Answer:
No Solution
Source: cymath.com
Step-by-step explanation:
Aris and Josiah are reading a 50-page book for their ELA class. Aris wants to know what page Josiah is reading. Josiah gives her two hints: 1. The product of the two page numbers he can see is 930. 2. The page he is reading is an odd-numbered page. What page is Josiah reading?
The two pages the boys are reading are pages 31, and 30. I'm not sure which is which. (would depend on who is reading the odd number page).
Josiah is reading page 31. The page he is reading is an odd-numbered page is 31 by factorizing number.
Step 1: Determine the factors of 930.
The factors of 930 are 1, 2, 3, 5, 6, 10, 15, 31, 62, 93, 155, 186, 310, 465, and 930.
Step 2: Identify the factors that correspond to odd-numbered pages in the book.
Since Josiah is reading an odd-numbered page, eliminate the even factors.
This leaves with the odd factors:
1, 3, 5, 15, 31, 93, 155, and 465.
Step 3: Determine which odd factor corresponds to a page number within the range of the book.
Since the book has 50 pages, eliminate the odd factors greater than 50. This leaves us with the odd factors: 1, 3, 5, 15, and 31.
Step 4: Identify the odd factor that, when multiplied by its complement, equals 930, that is:
31 × 30 = 930,
so Josiah is reading page 31.
Therefore, Josiah is reading page 31 of the book.
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5. Main Street is 1.5 miles long. How many feet
long is Main Street?
A corner shelf is of a circle and has a radius of 10.5 inches.
10.5 in
10.5 in
Enter the area of the shelf, in square inches. Round your answer to the nearest hundredth
Answer: 346.19
Step-by-step explanation:
So we know that the radius of the corner shelf is 10.5 inches. So first you write down the formula for finding the area of a circle. The formula for finding the area of a circle is:
A= pi x r squared
A= 3.14 x 10.5 squared
A= 3.14 x 110.25
A= 346.185 or 346.19
Hope that helps
what is the distance of (-3, 7) and (77, -11)
Answer: Option D is correct.
Step-by-step explanation:
Given: 7 and 11
We need to find the geometric mean of 7 and 11.
Geometric series whose common ratio is equal.
The geometric mean of two numbers is the square root of the product of two numbers.
If a, b and c are in GP then the geometric mean is b
The geometric mean of any two numbers a and b is
The given numbers are 7 and 11
Geometric mean is [tex]\sqrt 7x11\\[/tex]
Geometric mean: [tex]\sqrt{x} 77[/tex]
how do i solve s=zh-4zc^4 ,for z
Answer:
[tex]z=\frac{s}{h-4c^4}[/tex]
Step-by-step explanation:
Switch the subject
[tex]s=zh-4zc^4\\zh-4zc^4=s[/tex]
Factor
[tex]zh-4zc^4\\=z\left(h-4c^4\right)\\z\left(h-4c^4\right)=s[/tex]
Divide: remember that h - 4c^4 is not equal to zero
[tex]\frac{z\left(h-4c^4\right)}{h-4c^4}=\frac{s}{h-4c^4}[/tex]
Simplify your solution where z is the redefined subject
[tex]z=\frac{s}{h-4c^4}[/tex]
Step-by-step explanation:
s=zh-4zc^4
we will factorise
s=z(h-4c^4)
we will divide both sides by (h-4c^4)
s/(h-4c^4)=z
z=s/(h-4c^4)
pls rate as brainliest
Hello please can you help me for this i am new i will give all my points
A line that includes the points (h,3) and (9, –3) has a slope of –1. What is the value of h?
The value of h is 3
How to find a point in a coordinates using the slope?The line that includes the point (h, 3) and (9, -3) has a slope of -1.
Using the slope intercept equation,
y = mx + b
where
m = slopeb = y-interceptTherefore,
y = mx + b
y = -x + b
using (9, - 3)
-3 = - 9 + b
b = -3 + 9
b = 6
Therefore, the equation is as follows:
y = -x + 6
using (h, 3)
y = -(h) + 6
3 = -h + 6
-h = 3 - 6
-h = -3
h = 3
Therefore, the value of h is 3.
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Doctors recommend us to eat between 3 to 8 percent of our bodyweight each day. If one
day someone eats 7.2 pounds, calculate the biggest weight the person can be by writing
an inequality to model this situation.
The biggest weight the person can be based on the recommendation by the doctor is 90 pounds.
How to calculate the value?From the information, it was stated that doctors recommend us to eat between 3 to 8 percent of our bodyweight each day and that one day someone eats 7.2 pounds.
It should be noted that based on the information given, the highest percentage which is 8% will be used for the calculation.
Therefore, the biggest weight the person can be will be:
8% of x <= 7.2
0.08x <= 7.2
x <= 7.2/0.08
x <= 90 pounds
Therefore, the biggest weight the person can be based on the recommendation by the doctor is 90 pounds.
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The perimeter of a rectangle is equal to two times the length plus twice the width
The expression of the mathematical statement given as "The perimeter of a rectangle is equal to two times the length plus twice the width" is P = 2l + 2w
How to rewrite the statement as an expression?The mathematical statement is given as
The perimeter of a rectangle is equal to two times the length plus twice the width
Represent the perimeter with P
So, we have
P is equal to two times the length plus twice the width
Represent the length and the width with l and w
So, we have
P is equal to two times l plus twice w
So, we have
P = 2l + 2w
Hence, the expression of the mathematical statement given as "The perimeter of a rectangle is equal to two times the length plus twice the width" is P = 2l + 2w
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1. The regular price of a sweater is $80. It is on sale for 25% off. Find the final price
including 13% tax.
No links
Answer:
Step-by-step explanation:
hi
Simplify each number by using the imaginary number i .
√-50
Answer: The square root of -50 is undefined
Step-by-step explanation: I put it in a calculator It said undefined
what is the probability that at least one of the top three cards in a well shuffled deck of cards is a jack, queen, or king?
The probability that at least one of the top three cards is a jack, queen, or king is 0.289%.
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
A deck has a total of 52 cards.
A deck of cards has four jacks.
A deck of cards has four queens.
A deck of cards has four kings.
The total number of jacks, queens, and kings is 4 + 4 + 4 = 12.
Then the probability that at least one of the top three cards is a jack, queen, or king will be:
P = ( 12 / 52 ) × ( 8 / 51 ) × ( 4 / 50 )
P = ( 6 / 26 ) × ( 8 / 51 ) × ( 2 / 25)
P = 96 / 33150
P = 0.289%
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a plumber charges 70$ for fixing a leak plus 24$ per hour for his labor the plumber charged a total of 262$ write an equation to model the problem
Answer: (262 - 70) ÷ 24
Step-by-step explanation:
Yuan read 15 books from the library each month for y months in a row. Write an expression to show how many books Yuan read in all. Then evaluate the expression for y = 9. (if you see this question pls answer!) tysm
15y; 135 books
15/y; 135 books
15 + y; 24 books
15 − y; 24 books
The expression for y months is 15y and the number of books is 135
How to write an expression to show how many books Yuan read in all?The rate is given as
Rate = 15 books in a month
The number of month is given as
Months = y
The total number of books is
Total = Rate * Months
So, we have
Total = 15 * y
Evaluate
Total = 15y
When y = 9, we have
Total = 15 * 9
Evaluate
Total = 135
Hence, the expression for y months is 15y and the number of books is 135
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4(x-8)= 4x + 2
what is x
Answer:
undefined
Step-by-step explanation:
4x-32=4x+2
-4x
-32=2
undefined
The name of the figure below is ___ ___.
[ Brainliest + easy points ]
Answer:
Step-by-step explanation:
I think it´s the polygamous
4x10^6 is larger than 2x10^3 by what number
Create two ratios that are equivalent to 1/3 using multiplication
the three equivalent ratios to the ratio 1 : 3 will be 2 : 6 , 3 : 9 and 4 : 12.
We are given a fraction 1 / 3
This can also be written as a ratio as 1 : 3
Now, the equivalent ratios to it will be:
First one:
1 × 2 : 3 × 3
= 2 : 6
Second one:
1 × 3 : 3 × 3
= 3 : 9
Third one:
1 × 4 : 3 × 4
= 4 : 12
Therefore, the three equivalent ratios to the ratio 1 : 3 will be 2 : 6 , 3 : 9 and 4 : 12.
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