The work done in stretching the spring from its natural length to 0.9 feet beyond its natural length is 3 foot-pounds.
This can be calculated using the equation W = F * d, where W is the work done, F is the force applied, and d is the distance the spring is stretched. In this case, F is 6 pounds and d is 0.5 feet (0.9 feet - 0.4 feet). Thus, W = 6 * 0.5 = 3 foot-pounds.
Force is a concept in physics that describes the influence that can change the motion of an object. Work done is the amount of energy transferred to or from an object when a force acts on it and causes it to move through a distance.
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Correct question:
A force of 6 pounds is required to hold a spring stretched 0.4 feet beyond its natural length.
How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.9 feet beyond its natural length?
Unemployment rose from January to March a year from 2.5% to 2.9%. How big was the increase in percentage points and in percent?
Answer:
0.4% increase although I don't know what a percentage point is sorry.
Step-by-step explanation:
Answer:
The increase in percentage points was 0.4
The increase in percent was 16%
Step-by-step explanation:
To find the increase in percent, divide the increase in percentage points by the initial unemployment rate and multiply by 100: (0.4 / 2.5) * 100 = 16%.
a scatter plot shows multiple select question. if an obvious association exists between two variables. pairs of observations (x1, y1) . . . (xn, yn) on an x-y graph. only nonlinear relationships. only linear relationships..
A linear relationship can be expressed by the equation y = mx + b, where m is the slope of the line and b is the y-intercept.
This equation can be used to calculate the relationship between two variables, x and y. For example, if we have two sets of data points (x1, y1)…(xn, yn) we can calculate the slope m and the y-intercept b as follows:
m = (sum of (x_i - x_mean)*(y_i - y_mean))/(sum of (x_i - x_mean)^2)
b = y_mean - m*x_mean
Where x_mean and y_mean are the sample means of the x and y variables respectively.
Once we have calculated m and b, we can use the equation y = mx + b to describe the linear relationship between x and y. We can also use this equation to predict the value of y for a given x value. For example, if m = 2 and b = 0, then the equation becomes y = 2x and we can predict that when x = 1, y = 2.
In contrast, a nonlinear relationship is one which cannot be described by the equation y = mx + b, as the relationship between x and y is not linear. Instead, a nonlinear relationship is one in which the relationship between x and y is described by a more complex equation, such as y = ax^2 + bx + c.
To summarise, a linear relationship between two variables can be described by the equation y = mx + b, where m is the slope and b is the y-intercept, while a nonlinear relationship is one which cannot be described by this equation and is instead described by a more complex equation.
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What is the product of the expression, 4x(x2)? (1 point)
1. 4x3
2. 16x2
3. 4x2
4. 8x
The product of the given expression; 4x (x²) as required to be determined is; Choice 1; 4x³.
Which expression represents the product as required?It follows from the task content that the product of 4x (x²) is to be determined as required.
Since the given expression is; 4x (x²); we have that;
4 • x • x²
It therefore follows from the product of powers law of indices that we have;
4•x³
= 4x³.
Ultimately, the product of the expression is; 4x³.
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which expression fails to compute the area of a triangle having base b and height h (area is one-half base time height)?
The expression fails to compute the area of a triangle having base b and height h is (1.0 /2.0)*b*h.
Therefore the answer is A.
The correct expression to compute the area of a triangle having base b and height h is (1/2) * b * h, or equivalently, 0.5 * b * h.
Expression A is incorrect because it uses floating-point division, which may result in round-off errors or inaccuracies in the computation.
Expression B is the correct expression because it uses integer division and the division by 2 is clear.
Expression C is also correct because it uses floating-point division and the division by 2.0 is clear.
Therefore, both expressions B and C are correct, and expression D is a correct equivalent form of B and C.
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--The question is incomplete, answering to the question below--
"which expression fails to compute the area of a triangle having base b and height h (area is one-half base time height)?
A. (1.0 /2.0)*b*h
B. (1 /2)*b*h
C. (b*h)/2.0
D. 0.5*b*h"
∠A and ∠B are vertical angles. If m∠A = (7x+4) and m∠B = (8x - 20) then find the measure of ∠B
Since ∠A and ∠B are vertical angles, they have equal measures, so m∠A = m∠B. We can set the two expressions equal to each other:
7x + 4 = 8x - 20
Solving for x:
-x = -24
x = 24
So, m∠A = 7x + 4 = 7 * 24 + 4 = 188, and m∠B = 8x - 20 = 8 * 24 - 20 = 188.
Therefore, the measure of ∠B is 188 degrees.
A Nelson le piden trasladar agua para llenar un contenedor en forma de prisma hexagonal con las siguientes medidas: Lado del polígono= 4m y Altura= 10m. Ayúdale a calcular el área de la figura y después el volumen. Y suponiendo que tenemos otro prisma del triple de espacio, ¿cuál sería su volumen?
ayudaa jajaja
The area and volume based on the information will be area 144 √3 square meters and 240√3 cubic meters
How to calculate the areaTo calculate the area of the hexagonal prism, you need to calculate the area of each face and add them up. To calculate the area of one face of the hexagon, you can use the following formula:
Area of a regular hexagon = (3 * √3) / 2 * side^2
Plug in the side length of 4m:
Area of a face = (3 * √3) / 2 * 4^2 = (3 * √3) / 2 * 16 = 24 * √3
So the area of one face is 24 * √3 square meters. There are a total of 6 faces, 3 of which are hexagons, so the total area of the hexagonal prism is:
Total area = 6 * (24 * √3) = 144 * √3 square meters
To calculate the volume of the hexagonal prism, multiply the area of one face by the height:
Volume = (24 * √3) * 10 = 240 * √3 cubic meters
So the volume of the hexagonal prism is 240 * √3 cubic meters
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Nelson is asked to move water to fill a container in the shape of a hexagonal prism with the following measurements: Side of the polygon= 4m and Height= 10m. Help him calculate the area of the figure and then the volume. And assuming that we have another prism three times the space, what would its volume be?
Courtney’s Bookstore is having a clearance sale. All paperbacks are one price and all hard covers are another price. Abigail buys 5 paperback books and 2 hardcover books for $29. Rodney buys 2 paperback books and 1 hardcover books for 13 dollars. What is the price of each type of book? Use a system of equations to solve.
Answer: Total price: $28.67
Step-by-step explanation: From Courtney Summers, the author of Cracked Up To Be, comes a dark new tale of high school rivalry in which vicious rumors and nasty tricks are the currency that buys you popularity or seals your fate at the bottom of the food chain.
What is the sum of 17.25 and 1.725 , to the nearest integer?
1 kg of wheat costs $10 how much does 260g cost
As part of their opening day celebration, Benny’s Bakery made 150 cupcakes. The cupcakes all looked identical on the outside, but 6 of them had caramel inside. Customers who bought a cupcake with a caramel inside won a free cake. The cupcakes were randomly arranged and customers were allowed to choose their own cupcakes. Zoe was the first customer in line and bought three cupcakes. What is the probability that exactly one of Zoe’s cupcakes had caramel inside?
The probability that exactly one of Zoe's cupcakes had caramel inside after the cupcakes were randomly arranged and customers were allowed to choose their own cupcakes is 1/3266.
The probability that exactly one of Zoe's cupcakes had caramel inside can be calculated as follows:
P(exactly one cupcake with caramel) = (number of ways to choose one cupcake with caramel) / (total number of combinations of three cupcakes)
There are 6 cupcakes with caramel, so there are 6 ways to choose one cupcake with caramel.
Out of 150 cupcakes, there are 150 choose 3 = 19,600 ways to choose three cupcakes.
So, the probability that exactly one of Zoe's cupcakes had caramel inside is:
P(exactly one cupcake with caramel) = 6 / 19,600 = 1/3,266
Therefore, the probability that exactly one of Zoe's cupcakes had caramel inside is 1/3,266.
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Help me please not sure how to do this. it doesn't make sense to me.
Answer:
? = 5cm
Step-by-step explanation:
We know the right side is 14 cm; that is the combination of the 9 cm and the length of the ?
So, to find the ? we take
14 - 9 = 5cm
So, the ? equal 5cm
HELP DUE TOMORROW WILL GIVE U BRAINLIEST!! solve for the value of q
Answer:
Step-by-step explanation:
The straight line is an angle of 180. If given an angle of 57 and 90, subtract from 180.
180 - 90 - 57 = 8q + 1
33 = 8q + 1
8q = 32
q = 4
Test (Spring 2023)
Solve the equation. Check your solution.
2x-4-18x + 4
Answer:
bring -18x to 2x
2x-18x
then bring -4 to +4
2x-18x+4-4
Jen is a biologist studying endangered and at-risk species in Mongolia. When she first started
studying the snow leopard population, she estimated that there were 1,000 snow leopards in
Mongolia. After one year, Jen estimated that the population had decreased to 990. She
expects the snow leopard population to continue decreasing each year.
Write an exponential equation in the form y = a(b) that can model the estimated snow
leopard population in Mongolia, y, in x years.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
y =
00
(0)
To the nearest whole number, how many snow leopards can Jen expect there to be in
Mongolia in 5 years?
snow leopards
O
3
31
D
2
The population of the leopard in 5 years is 951
How to determine the exponential functionFrom the question, we have the following parameters that can be used in our computation:
Initial population, a = 1000
After one year = 990
This means that the rate r is
r = 990/1000
r = 0.99
The function is represented as
y = ar^x
So, we have
y = 1000(0.99)^x
In 5 years, we have
y = 1000(0.99)^5
y = 951
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I need help with answering this image
The value of the missing internal angle in the irregular polygon is equal to 125°.
How to determine the missing measure of the remaining internal angle
The sum of internal angles (S), in degrees, in any convex polygon is determined by the following formula:
S = 180 · (n - 2)
Where n is the number of sides in the polygon.
According to the image seen beside, we find an irregular pentagon, that is, a polygon with five sides. First, determine the sum of internal angles:
S = 180 · (5 - 2)
S = 180 · 3
S = 540°
Second, find the value of the missing internal angles:
y = 540° - 86° - 142° - 72° - 115°
y = 125°
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3/4 - 1 1/4
Just need an step by step
Answer:
Step-by-step explanation: 3/4 + 11/4= (3 + 11)/4
= 14/4
= 7/2 or 3[tex]\frac{1}{2}[/tex]
mabel owes $374 on her credit card and is about to make a repayment of $155.What will be the new balance on her credit card
The new credit card balance on her credit card is $219 if no interest is added on balance.
What Is a Credit Card Balance?The total sum of money owing by a cardholder to their credit card company is known as their credit card balance. Balances fluctuate depending on when and how they are used; they rise when purchases are made and fall when payments are made by cardholders. Any sum that is left over at the end of the billing cycle is added to the bill for the following month and is subject to interest. The balances on a person's credit cards play a significant role in determining their credit score. Future lenders will evaluate them to assess the risk (and price) of extending further credit to their clients.
Given that Mabel owes $374 and make a repayment of $155.
Then the new credit card balance is, if no interest is added on balance
= $374 - $155
= $219
So, The new credit card balance on her credit card is $219
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At lake view middle school, there are 2 homeroom teachers assigned to every 48 students. Is the number of students at this school proportional to the number of teachers? Explain your reasoning
Answer:
Yes
Step-by-step explanation:
Since it literally says "there are 2 homeroom teachers assigned to every 48 students", this means that it is a ratio because 2 teachers: 48 students are proportional.
3
For the polynomial function f, when f (x) is divided by x-9, the remainder is 7. Which of the
following must be true about the graph of y = f (x) in the xy-plane?
It passes through the point (7,-9).
It passes through the point (-9,7).
It passes through the point (7,9).
It passes through the point (9,7).
3rd option is correct.
X and Z are endpoints of a segment, and point T is on the segment. If XZ = 3x, XT = x + 3, and TZ = 13, then x = and XZ =
We can then plug this value into the given for XZ, which is 3x, to solve for the length of XZ. This comes out to be 18. Therefore, the value of x is 6, and the length of XZ is 18.
x = 6, XZ = 18
To solve for x, we can use the formula for the midpoint of a segment, which is (x + z)/2.
Plugging in the given values, we get (x + 13)/2 = 6.
Simplifying, we get x = 6.
To solve for XZ, we can simply plug in the given value for x, which is 6.
Therefore, XZ = 3(6) = 18.
Given three values related to a line segment, XZ, XT, and TZ, we can solve for both the value of x and the length of XZ. To do this, we can use the formula for the midpoint of a segment, which is (x + z)/2. Plugging in the given values for XT and TZ, we can solve for x, which comes out to be 6. We can then plug this value into the given for XZ, which is 3x, to solve for the length of XZ. This comes out to be 18. Therefore, the value of x is 6, and the length of XZ is 18.
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in 1991, the moose population in a park was measured to be 3270. by 1997, the population was measured again to be 4770. if the population continues to change linearly: a.) find a formula for the moose population, , in terms of , the years since 1990
Step 1: Calculate the rate of change in the moose population.
The rate of change in the moose population can be calculated by subtracting the 1991 population (3270) from the 1997 population (4770) and dividing the result by the number of years (7).
Therefore, the rate of change in the moose population is (4770 - 3270) / 7 = 700 moose/year.
Step 2: Find the formula for the moose population in terms of the years since 1990.
The formula for the moose population in terms of the years since 1990 is P(t) = 3270 + 700t, where t is the number of years since 1990.
A population may grow as a result of certain changes. Animal populations that consume certain plants may grow if there are more plants present than typical in a region. If the population of one species rises, the population of animals that consume that animal may also rise.
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the maximum weight, w, that a stepladder can hold is 250 pounds. which inequality represents this situation?
w ≤ 250
This inequality can be used to represent the maximum weight that a stepladder can hold, which is 250 pounds. In other words, the weight, w, must be less than or equal to 250 pounds.
The weight, w, must be less than or equal to 250 pounds. This inequality can be used to represent the maximum weight that a stepladder can hold, which is 250 pounds. In other words, if the weight of the object being placed on the stepladder is greater than 250 pounds, it is not safe to use the stepladder. This inequality helps to ensure the safety of the person using the stepladder, as it limits the amount of weight that can be placed upon it. Furthermore, it also helps to protect the stepladder itself, as it prevents it from being overloaded with too much weight, which could cause it to break or malfunction. In conclusion, the inequality w ≤ 250 represents the maximum weight that a stepladder can safely hold.
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There were 84 runners to start a race in the first half of the race 1/3 of them dropped out in the second half of the race 2/7 of the remaining runners dropped out how many runners finish the race 
Answer:
40
Step-by-step explanation:
84 runners to start a race
in the first half of the race 1/3 of them dropped out = 84/3 = 28 dropped out
so 56 left
in the second half of the race 2/7 of the remaining runners dropped out
2/7 *56 =16 dropped out
so 56-16 = 40 left
how many runners finish
40
solve the following systems of linear equations by graphing
y=2/3x+4 and y=/x-1
Answer:
The solution to the system is (1.8, 7.6)
Step-by-step explanation:
To solve the system of linear equations by graphing, we need to plot the two lines on the same coordinate plane and find the point where they intersect, which will be the solution of the system.
Plot the lines:
y = 2/3x + 4 can be written as y = (2/3)x + 4, where the slope is 2/3 and the y-intercept is 4.
y = -x + 1 can be written as y = -x + 1, where the slope is -1 and the y-intercept is 1.
Find the intersection point:
To find the intersection point, we can substitute the x-value from one equation into the other equation. Let's use y = 2/3x + 4.
Substitute x from y = 2/3x + 4 into y = -x + 1:
-x + 1 = 2/3x + 4
Multiplying both sides by -3, we get:
3x - 3 = -2x - 12
Adding 2x to both sides, we get:
5x - 3 = -12
Adding 12 to both sides, we get:
5x = 9
Dividing both sides by 5, we get:
x = 1.8
Now that we have x, we can substitute it back into either equation to find the corresponding y-value. Let's use y = 2/3x + 4:
y = 2/3x + 4
y = 2/3 * 1.8 + 4
y = 3.6 + 4
y = 7.6
So the solution to the system is (1.8, 7.6), which is the point where the two lines intersect.
In the very center of the Irenic Sea lie the beautiful Nisos Isles. In 1998 the number of people on these islands was only 200, but the population triples every 25 years. Queen Irene has decreed that there must be at least 1.5 square miles for every person living in the Isles. The total area of the Nisos Isles is 24,900 square miles. c In how many years, approximately, from 1998 will the population of Nisos be as large as Queen Irene has proclaimed that the islands can support?
The population of Nisos be as large as Queen Irene has proclaimed that the islands can support is 16600.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Queen Irene has decreed that there must be at least 1.5 square miles for every person living in the Isles.
The total area of the Nisos Isles is 24,900 square miles.
Here, 24,900/1.5
= 16600
Therefore, the population of Nisos be as large as Queen Irene has proclaimed that the islands can support is 16600.
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The number of bees in a large garden is decreasing by 2.5% every year. If this year it has 8 million bees, how many millions of bees will be there in 6 years? Round to the nearest hundredth. million bees
Answer:
I have solved it and attached in the explanation.
Step-by-step explanation:
Mr.White is renting a van for one week and a few additional days d he does not have to pay a per mile fee evaluate the expression 260+70d to find how much he will pay for a 10-day rental
Answer:
For a 10-day rental, d = 10 - 7 = 3 days.
Step-by-step explanation:
So, the total amount Mr. White has to pay is 260 + 70d = 260 + 70 * 3 = 260 + 210 = 470 dollars.
A jar contains only pennis, nickels, dimes, and quarters. there are 24 pennies, 23 dimes, and 22 quarters. There are 80 coins in all. How many of the coins are not nickels? if n represents the number of nickels in the jar what equation could you use to find n?
Answer:
Step-by-step explanation:
m
how much commission would a salesperson earn for selling a $25.000. car? he receives an 18% commission
The commission earned by the salesperson for selling a $25,000 car with an 18% commission rate can be calculated by multiplying the price of the car by the commission rate:
Commission = 0.18 * $25,000
Commission = $4,500
Therefore, the salesperson would earn a commission of $4,500 for selling the car.
K
M 3 J
Mark this and return
What is the length of line segment KJ?
O 2√3 units
O 3√2 units
O 3√3 units
O 3√5 units
Save and Exit
Next
Submit
The length of line segment KJ is D. 3√5 units
What is a Line Segment?A line segment in geometry is a section of a straight line that is enclosed by two clearly defined endpoints and contains all of the points on the line that lie inside those endpoints. The Euclidean distance between two ends of a line segment determines its length.
∠KMJ = 180° - 90° (adjacent angles on a straight line)
= 90°
Using Pythagorean Theorem,
KJ² = 6² + 3²
KJ² = 45
KJ = √45
= √9√5
= 3√5
The answer is D. The length of line segment KJ is 3√5 units.
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