A force of 192 lb is required to hold a spring stretched 3 ft beyond its natural length. How much work W is done in stretching it from its natural length to 6 inches beyond its natural length
Answer:
The work done in stretching the spring is 8 lb.ft
Step-by-step explanation:
Given;
Applied force, F = 192 lb
extension of the spring, x = 3 ft
Determine the spring constant from the applied force and extension;
[tex]k = \frac{F}{x} \\\\k = \frac{192 \ lb}{3 \ ft} \\\\k = 64 \ lb/ft[/tex]
When the spring is stretched 6 inches beyond its natural length, the work done is calculated as follows;
x = 6 inches = 0.5 ft
[tex]W = \frac{1}{2} kx^2\\\\W = \frac{1}{2} (64 \ lb/ft)(0.5 \ ft)^2\\\\W = 8 \ lb.ft[/tex]
Therefore, the work done in stretching the spring is 8 lb.ft
Given that ABCD is a rhombus, what is the value of x?
B
с
(Ax-25)
O A. 29
O B. 23
O C. 46
OD. 38
O E. 45
F. Cannot be determined
Answer:
D
Step-by-step explanation:
i did the test
Answer:
I think it is B. 23
Step-by-step explanation:
The bottom of a swimming pool is 10 feet below the surface of the water in the pool. The surface of the water is represented by the number 0, and the bottom of the pool is represented by the number -10. The pool’s diving board is the same distance above the surface of the water as the bottom of the pool is below the surface of the water.
What number represents the location of the diving board?
Answer:
10
Step-by-step explanation:
diving board = distance of bottom of pool to surface = 10
diving board 10
| 9
| 6
| 3
surface 0
| -3
| -6
| -9
bottom -10
The number 10 represent the location of the diving board from the surface of the water in the pool.
Given that, the bottom of a swimming pool is 10 feet below the surface of the water in the pool.
What is an Integer?Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.
The pool’s diving board is the same distance above the surface of the water as the bottom of the pool is below the surface of the water.
That is , 10 feet
The diving board is 10 feet above the surface of water
The diving board is 20 feet above the bottom of a swimming pool
Therefore, the number 10 represent the location of the diving board from the surface of the water in the pool.
To learn more about an integers visit:
https://brainly.com/question/15276410.
#SPJ2
Use the diagram below to find angle KNM.
Answer:
145 degree
Step-by-step explanation:
el 2% que fraccion representa
Match the term to its definition
Brainlessly and 25 points
Definitions on picture
•wages
•stock
•gross domestic product
•credit
•standard of living
•stock
•market crash
•interest
•great depression
•consumer
•surplus
help please!!!!thankss
Answer:
translation, the reflection
Step-by-step explanation:
because from 1 to 2 it is a translation the 2 to 3 is a reflection because you can draw a line through it
14 apartments on 2 floors =
apartments on 1 fioor
Answer:
7
Step-by-step explanation: You would divide 14 by 2 which then equals(=) 7.
7 Apartments for each floor.
Can someone help me, please????
Answer: -12
Step-by-step explanation:
if you'd like to convert a Fahrenheit temperature to an approximate Celsius temperature: Start with the temperature in Fahrenheit
Answer:
-12 degrees
Step-by-step explanation:
Fahrenheit and Celsius
10 degree fahrenheit
What is the celsius?
____________________
Take a look at the picture with the information provided, we see that f is the vertical line while c is the horizontal line. Since we are looking for 10 degree fahrenheit, let's find it on the vertical line. If we look at the red line, when it goes across 10 fahrenheit, the approximate part that it hits celsius is -12 degrees.
Forty percent of all high school graduate work during the summer to earn money for college tuition for the upcoming fall term. Assuming a binomial distribution, if 6 graduates are selected at random, what is the probability that at least 2 graduates have a summer job
Answer:
0.7667 = 76.67% probability that at least 2 graduates have a summer job
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Forty percent of all high school graduate work during the summer to earn money for college tuition for the upcoming fall term.
This means that [tex]p = 0.4[/tex]
6 graduates.
This means that [tex]n = 6[/tex]
What is the probability that at least 2 graduates have a summer job
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{6,0}.(0.4)^{0}.(0.6)^{6} = 0.0467[/tex]
[tex]P(X = 1) = C_{6,1}.(0.4)^{1}.(0.6)^{5} = 0.1866[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0467 + 0.1866 = 0.2333[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.2333 = 0.7667[/tex]
0.7667 = 76.67% probability that at least 2 graduates have a summer job
what is |8|
-16
–8
8
16
Answer:
8
Step-by-step explanation:
Anything in an absolute value is positive.
What is the value of s?
units
what is 4(1 + 9x) simplified?
Answer:
4 + 36x is your expression
Step-by-step explanation:
4 x 1 = 4
4 x 9x = 36x
so 4 + 36x is your expression because you can't add numbers with different variables or if they don't even have one.
Answer:
4 + 36x
Step-by-step explanation:
distribute
4 x 1 = 4
4 x 9x = 36x
put answer together to make new equation
4 + 36x
which statement is correct,
A.-1.5 <-2
B -2.5 < -3
C -3.5<-2.5
Answer:
c
Step-by-step explanation:
Answer:c
Step-by-step explanation: bc the smaller the negative the bigger the value
Y=1/3x+14 in point slope form
Answer:
ok so.. whats the question?
Step-by-step explanation:
Answer:
y = 1/3x + 14
Step-by-step explanation:
The REASON THAT IS AN SLOPE INTERCEPT FORM IS BECAUSE IT IS ALREADY IN SLOPE INTERCEPT FORM.
1. The ratio of 2h to 30min is
A. 1:15
B. 4:1
C. none of these
Answer:
B. 4:1
Step-by-step explanation:
Since its 2 hours:30 minutes, in hours that is 2:1/2. So then if you want it in whole numbers you just multiply 2:1/2× 2 which would be 4:1.
0.5 km = M
Pls help me!!
Answer:
500
Step-by-step explanation:
what is the answer to -1x3+4
Answer:
Your answer is 1, look below please
Step-by-step explanation:
ASSUMING that the x is a variable your equation is -1x=3+4 which would be...
-1x=7, then divide by -1 which gives us -7
Pls help I’ll brainlest ASAP pls
Answer:
128
explanation:
cross multiply whereby 8*-112
it gives u -896 which u divide by -7 to get value of m as 128
hope it helps
PLEASE HELP ME ASAP I WILL GIVE YOU BRAINLEST. PLEASE PLEASE I BEG OF YOU
Answer:
Hiii, I really did try my best, hopefully this helps :)
Step-by-step explanation:
1st: 37.5 units
2nd: 34.5 units
3rd: 24 + 9.125 π units
4th: 42 units
5th: 49.5 units
Write the following equation in standard form and show your work : x^2+y^2-22y+96=0
Answer:
[tex]x^2 + (y-11)^2 = 5[/tex]
Step-by-step explanation:
Completing the square gives us that
[tex]x^2+y^2-22y+96=0\\x^2 + (y-11)^2 - 11^2 + 96 = 0\\x^2 + (y-11)^2 = 121 - 96\\x^2 + (y-11)^2 = 25\\x^2 + (y-11)^2 = 5[/tex]
Which is the standard form of a circle.
help me in this too pls
Answer:
Area Of Rectangle : l×b ( length × breadth)
Step-by-step explanation:
Hope it helps you
Answer:
to find the area u need to multiply the base and the height
and I'll just use the numbers which you have as an example
20 x 10
200cm^2
You use a 40% off coupon followed by a 30% off coupon. is that
this is the same as a 70% off coupon. Explain
Answer:
Yes since 40+30=70 so it would be the same
Step-by-step explanation:
12 people fit comfortably in a 5 feet by 5 feet area. Use this value to estimate the size of a crowd that is 25 feet deep on both sides of the street along a 3-mile section of a parade route. (Hint: 1 mile = 5,280 ft)
Answer:
380,160 people
Step-by-step explanation:
One number is 8 times
a first number.
A third number is 100 more than the
first. If the sum of the three numbers
IS 630 find the numbers.
Answer:
Step-by-step explanation:
one number = 46.24
first number = 5.78
third number = 578
This graph shows the value of Jessica's vehicle at different years after she purchased it.
Which answer is the best estimate for the average rate of change between year 0 and year 3
A. -$6300/year
B. -16000/year
C. -$5300/years
D. -$4000/year
Answer:
B
it goes down by $16,000 in that time frame
Evaluate the following if a=-3, b=8, and c=-4. 202 + 5b
Answer:
242
Step-by-step explanation:
202+ 40= 242
if my answer helps please mark as brainliest.
Scott is getting balloons for his uncle's birthday party. He wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Scott wants to get 59 balloons, how many yards of string will he need?
1 foot =
1
3
yard
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession
and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event A: The sum is greater than 9.
Event B: The sun is divisible by 3.
Round your answers to two decimal places.
I need the answers fast
Answer:
A=11.1%
B=33.33%
Step-by-step explanation:
A.First Die Second die
6 5
5 6
6 4
4 6
4/36=1/9=.11=11.1 %
12/36=0.3333=33.333 percent
9 subtracted from the product of 2 and b is less than or equal to -21*
b = 3
b = -6
b<=5
Answer:
I'm not 100% sure what you asking but if I read it it is more then -21 because it equals 8