Answer:
80-foot pounds
Step-by-step explanation:
As per the given data, the work needed to move the 40 pound box a distance of 2 feet is 79.86 foot-pounds.
What is work done?In physics, work is defined as the product of force and displacement, where force is the applied force and displacement is the distance moved by the object in the direction of the applied force.
To calculate the work needed to move a 40 pound box a distance of 2 feet, we need to use the formula:
Work = Force x Distance x Cos(theta)
where Force is the amount of force applied to move the box, Distance is the distance moved, and Cos(theta) is the cosine of the angle between the force vector and the direction of motion.
Assuming that the force is applied in the same direction as the motion, the angle between the force vector and the direction of motion is 0, and thus Cos(0) = 1. Therefore, the formula simplifies to:
Work = Force x Distance
We are given that the box has a weight of 40 pounds. Since weight is a type of force, we can use the formula:
Force = Mass x Acceleration due to gravity
where Mass is the mass of the box and Acceleration due to gravity is the gravitational acceleration constant, which is approximately 32.2 feet per second squared.
Converting the weight of the box from pounds to slugs (the unit of mass in the English system of units) gives:
Mass = Weight / Acceleration due to gravity = 40 pounds / 32.2 feet per second squared = 1.24 slugs
Therefore, the force required to move the box is:
Force = Mass x Acceleration due to gravity = 1.24 slugs x 32.2 feet per second squared = 39.93 pounds-force
Finally, we can calculate the work needed to move the box a distance of 2 feet as:
Work = Force x Distance = 39.93 pounds-force x 2 feet = 79.86 foot-pounds
Therefore, the work needed to move the 40 pound box a distance of 2 feet is 79.86 foot-pounds.
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(NO LINKS) A space shuttle travels at 2.6 x 10,000 feet per second. An hour is 3.6 x 1,000 seconds. This expression can be used to find the number of feet the space shuttle travels in an hour. How many feet does the shuttle travel in an hour?
Answer:
1) 7.22 ft in a hr & 2) Choice C. y = 0.50x + 2
Step-by-step explanation:
1) Space shuttle
2.6 x 10,000 = 26,000ft
3.6 x 1,000 = 3,600 seconds = 1 hr
26,000/3,600 = 7.22 ft in a hr
2) Taxi company
y = 0.50x + 2
Tiana deposited $500 into an account that earns 6% simple interest. How many years will it take for the value of the account to reach $2000
Answer:
Number of year = 50 year
Step-by-step explanation:
Given:
Amount deposit in account = $500
Rate of interest = 6 % = 0.06 (Simple interest)
Future amount = $2,000
Find:
Number of year
Computation:
A = P + I
2,000 = 500 + I
Amount of interest I = $1,500
I = PRT
1,500 = 500 x 0.06 x Number of year
1,500 = 30 x Number of year
Number of year = 1,500/30
Number of year = 50 year
I NEED HELP ASAP PLEASE HELP
Answer:
a) lilla has 1/5 of the book left to read
b) lilla has 15 pages left to read
Step-by-step explanation:
a) 1/5 + 3/5 = 4/5
b) 75÷ 5= 15
15× 4= 60
75-60= 15
how can you tell two objects are similar when all you did is make the the object smaller by a scaled factor?
if good answer... will give brainly and also 5 stars and everything
Answer:
You can tell if they are similar if all the angles correspond and the sides are all scaled down by the same factor. For instance, a triangle with sides of 30, 40, and 50 scaled down by a factor of 2 would have sides of 15, 20, and 25.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.
What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?
A. 4
B. -4
C. -6
D. 6
Hey did you find the answer to it yet ? Because I’m having a hard time as well
What’s the correct answer for this question?
Answer:
$16 is correct answer
Hope it helps you
In Ivy’s neighborhood, 40% of the homes have a swimming pool. If there are 80 homes in the neighborhood, then how many have a swimming pool?
Answer:
32 homes
Step-by-step explanation:
To get the amount of homes with a pool, simply do
HOMES * 0.40
So 80x0.4 = 32 homes with a pool
Use the following image to multiply.
5/8 of 4 =
Answer:
2.5
Step-by-step explanation:
Answer:
[tex]2\frac{1}{2}[/tex] or 2.5
Step-by-step explanation:
[tex]\frac{5}{8}*4\\ \\ =\frac{5}{8}*\frac{4}{1} \\ \\ =\frac{5*4}{8*1} \\ \\ =\frac{20}{8} \\ \\ =\frac{5}{2} \\ \\ =2\frac{1}{2} or 2.5[/tex]
Select all the expressions that show a way to decompose 512. A. 3 1/2+2 1/2 B. 3/6+2/6 C. 1 1/2+2 1/2+2 1/2 D. 1 1/2+1 1/2+3 1/2 E.1 1/2+1 1/2+2 1/2+2 1/2
Answer:
C,D,E
Step-by-step explanation:
pls help willl give brainlist
Answer:
15.1666666667
Step-by-step explanation:
is 0.70 equal to 7/10
yes the fraction of .70 is 7/10
Answer:
Yes
Step-by-step explanation:
0.70 = 7/10
Write an equation of the line below.
Answer (assuming it can be in slope-intercept form):
[tex]y = \frac{4}{5} x[/tex]
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula [tex]m = \frac{y_2-y_1 }{x_2-x_1}[/tex] and substitute the x and y values of two points on the line into it. We can see that the line passes through (0,0) and (5,4), so let's use those points for the formula and solve:
[tex]m = \frac{4-0}{5-0} \\m = \frac{4}{5}[/tex]
So, the slope is [tex]\frac{4}{5}[/tex].
2) Next, identify the y-intercept of the line. The y-intercept is the point at which the line intersects the y-axis. We can see that the line intersects the y-axis at (0,0), so that must be the y-intercept.
3) Now, write the equation of the line in slope-intercept form using the [tex]y = mx + b[/tex] format. The number in place of [tex]m[/tex] represents the slope, so substitute [tex]\frac{4}{5}[/tex] in its place. The number in place of [tex]b[/tex] represents the y-intercept, so substitute 0 in its place. This gives the following answer and equation:
[tex]y =\frac{4}{5} x+0\\y = \frac{4}{5} x[/tex]
Answer:
y=4/5x
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
In this problem, the slope is 4/5 because m=rise/run.
girlcome 5324611502
p:here
Answer:
what
Step-by-step explanation:
Answer:
im confused
Step-by-step explanation:
Which expression is equivalent to 5 (4x+3)-2
To simplify an expression means to write it in the simplest way possible. Ideally, there would be no parentheses and everything has been 'expanded'.
Solving the QuestionWe're given:
[tex]5 (4x+3)-2[/tex][tex]5 (4x+3)-2[/tex]
Open up the parentheses by multiplying each term by 5:
[tex]=5*4x+5*3-2\\=20x+15-2\\=20x+13[/tex]
Answer[tex]20x+13[/tex]
Find the length, width and perimeter of 3 possible different rectangles given the area of 12 square units, Fill out the table below. PLS HELP
Answer:
Bussy
Step-by-step explanation:
Solve equation
r/3-4=11
r = 45
r = 35
r = 33
r = 28
Answer:
r=-11
Step-by-step explanation:
A biologist found the wingspans of a group of monary butterflies to be normally distributed with a mean of 52.5 mm and a standard deviation of 2.5 mm. What percent of the butterflies had the following wingspans? A. Less than 48.9 mm B. Between 49 and 55
Answer:
A. 7.5%
B. 68.26%
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 52.5 mm and a standard deviation of 2.5 mm.
This means that [tex]\mu = 52.5, \sigma = 2.5[/tex]
A. Less than 48.9 mm
The proportion is the pvalue of Z when X = 48.9. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{48.9 - 52.5}{2.5}[/tex]
[tex]Z = -1.44[/tex]
[tex]Z = -1.44[/tex] has a pvalue of 0.075
0.075*100% = 7.5%, which is the answer.
B. Between 49 and 55
The proportion is the pvalue of Z when X = 55 subtracted by the pvalue of Z when X = 49. So
X = 55
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{55 - 52.5}{2.5}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
X = 49
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{49 - 52.5}{2.5}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.8413 - 0.1587 = 0.6826
0.6826*100% = 68.26%, which is the answer.
The percent of the butterflies had the given wingspans are;
A) 7.5%
B) 76.64%
We are given;
Population mean; μ = 52.5 mm
Population standard deviation; σ = 2.5 mm
Formula for z-score is;
z = (x' - μ)/σ
A) For less than 48.9 mm,P(X' < 48.9);
z = (48.9 - 52.5)/2.5
z = -1.44
From online p-value from z-score calculator, we have;
P(X' < 48.9) = 0.075 or 7.5%
B) For x' between 49 and 55, P(49 < X < 55)
At x' = 49;
z = (49 - 52.5)/2.5
z = -1.4
Z-score at x' = 55;
z = (55 - 52.5)/2.5
z = 1
From online p-value from z-score calculator, the p-value between the two z-scores is;
p = 0.7664 or 76.64%
Read more about z-scores at; https://brainly.com/question/6316394
HELP ASAP PLEASE
What’s the answer
Answer:
Step-by-step explanation:
function 2
pls help! one week you spent $24 on 6 metro tickets and 4 bus tickets. the next week you spent $27 on 3 metro tickets and 7 bus tickets. how much would it cost to buy 5 metro tickets and 2 bus tickets?
Answer:
I will use x for # of subway tickets, and y for # of express bus tickets.
24 = 6x + 4y
27 = 3x + 7y
x = 2
y = 3
16 = 10 + 6
Answer is 16
rule y = x - 3
plz help me :(
#CarryOnLearning
#NoToCopyPaste
Correct me if im wrongIts base on my understanding
For brainly user:Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste
Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste You can search on the internet but make your own sentence okay? Thank you
Please dont delete this:((
Find the value of x for the right triangle.
45°
х
10
Answer:
14.14
Step-by-step explanation:
sin(45)=10/x. <--fraction
then solve for x you should get this
x=10/sin(45)
and that should equal
14.14213562
Question 11 of 49
If angles A and B are consecutive interior angles, what is the measure of
angle B if angle A measures 75 ?
A. 75
B. 105
C. 90°
ОО
D. 180°
Answer:
[tex]B = 105[/tex]
Step-by-step explanation:
Given
[tex]A = 75[/tex]
Required
Find B
If A and B are consecutive interior angles, then
[tex]A + B = 180[/tex]
Substutute 75 for A
[tex]75 + B = 180[/tex]
[tex]-75+75 + B = 180 - 75[/tex]
[tex]B = 105[/tex]
Muhammad spent $45 buying three pizzas and two orders of wings for his roommates. Each pizza cost twice as much as the wings +1 dollar what does one order of wings cost?
What is the measure of ABC
Answer:
63
Step-by-step explanation:
angle abc =half of arc DE + half of arc AC
Create a table of values that could represent the function f(x) = 3x + 4. Justify your response.
F(x)=3/2 x2-4+C
I looked it up
kimtoya travels from New York to Florida by airplane. She pays a total of $402 for her flight. This includes a base price of $285 for the ticket plus a fee for each of her 3 pieces of checked baggage. To figure out how much the fee per bag is, she adds $402 to $285 and then divides this total by 3 to get $173. Is Kimtoya correct? Include all necessary work to support your answer.
Answer:
402
+285
687÷3=229
Step-by-step explanation:
so nah she's not right
5. Carlotta's Beauty Supply store sells two brands of bar soap. A 6 pack of Brand A costs
$6.78 and an 8 pack of Brand B costs $8.40. What brand is the better buy?
Evaluate (3.68)²26705
55
Answer:
I am sorry I need points I am really sorry
Answer:
Step-by-step explanation:
0.0000368
HELP ASAP oooooooooooooooooooooooooo
Answer:
The answer is b Maria will run 1.75 miles more than her goal.
Step-by-step explanation:
For this you take the total number of miles divided by miles per day. 17.5 divided by 2.75 is approximately six slightly over. That remaining time is less than 1 day so she can’t do 2.75 over her goal and the other options talk about going under so that leaves us with option two.
Hope this helps.
Carlo rode his bicycle from his house to his friend Kevin's house. From there, he rode to a video game
store. Then he rode 3.2 kilometers from the video game store back to his house. The arrows in the grid
show the path Carlo traveled. How many kilometers did Carlo ride his bike? Round your answer to the
nearest tenth of a kilometer.
12.3 kilometers
10
9
8
6.5 kilometers
7
Kevin's House (25,6)
6
5
4
13.7 kilometers
3
2
Video Game Store (25,2)
15.7 kilometers
5 6 7 8 9 10
1 2 3 4
Carlo's House (0,0)
Answer:
The answer would be approximately 13.9, so if 13.9 is not a choice just pick what closest to it.
Step-by-step explanation:
Answer:
13.7
Step-by-step explanation: