The correct choice is: Part of the man’s work goes into the kinetic energy of the crate, while the other part of his work is done against friction.
When the man accelerates the crate across the rough floor, the efficiency of 50% indicates that only half of the work done by the man is effectively transferred to the crate. The remaining half of the work is lost or dissipated, likely due to friction between the crate and the floor.
Therefore, part of the man's work goes into increasing the kinetic energy of the crate, allowing it to gain speed and move. The other part of the man's work is used to overcome the frictional forces acting against the crate's motion.
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The domain of this function is {-12,-6,3,15}. Y=-2/3x+7
Complete the table based on the given domain
Considering the given function, the table is completed as follows:
x|y
-12|15
-6| 11
3|5
15|-3
Which is the function?The function is defined by:
[tex]y = -\frac{2}{3}x + 7[/tex]
Hence, when x = -12:
[tex]y = -\frac{2}{3}(-12) + 7 = 15[/tex]
When x = -6:
[tex]y = -\frac{2}{3}(-6) + 7 = 11[/tex]
When x = 3:
[tex]y = -\frac{2}{3}(3) + 7 = 5[/tex]
When x = 15:
[tex]y = -\frac{2}{3}(15) + 7 = -3[/tex]
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Use a triple integral to find the volume of the wedge bounded by the parabolic cylinder yx and the planes zy and z0.
The volume of wedge is 4/15 by use of Triple integral.
According to the statement
we have to find the volume of wedge which is bounded by the parabolic cylinder.
So, because of the given shape of z=√y
the plane y=0 is a boundary, in addition to the given x = 0, z = 0.
so we are in the first octant for all of this. and the further constraint is the plane x + y = 1
Triple integrals are 3 successive integrations, used to calculate a volume, or to integrate in a 4th dimension, over 3 other independent dimensions.
but as a triple integral you would write:
∫x=0 ∫y=0∫z=0 dz dy dx
And after put the values in it and solving it we get the
[−4/15(1−x)^5/2] at x=0
Then after that the answer will become 4/15.
So, The volume of wedge is 4/15 by use of Triple integral.
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determine the slope of the line
Answer:
slope = 2
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 ) = (- 3, 0) and (x₂, y₂ ) = (0, 6) ← 2 points on the line
m = [tex]\frac{6-0}{0-(-3)}[/tex] = [tex]\frac{6}{0+3}[/tex] = [tex]\frac{6}{3}[/tex] = 2
A school needs 4500 paperclips which are sold in boxes of 200 how many boxes must the school buy
Answer:
23 there will be 100 paperclips leftover
A swimming pool is 10 m wide and 25 m long. It is 1.2 m deep at one end and 2.2 m deep at the other end. The floor slopes uniformly from one end to the other.
a)Explain why the shape of the pool is a prism. 1.2 m
b)The pool is filled with water at a rate of 2 m³ per minute. How long will it take to fill the pool?
At a rate of 2 m³ per minute, it would take 212.5 minutes to fill this swimming pool.
The shape of the pool.Based on the information provided, we can logically deduce that the shape of this pool is a prism because it is deep (2.2 m) at one end and shallow (1.2 m) at the other end.
How to calculate the time?First of all, we would determine the volume of this swimming pool as follows:
Volume = 1/2 × (1.2 + 2.2) × 10 × 25
Volume = 1/2 × (3.4) × 250
Volume = 1.7 × 250
Volume = 425 m³.
For the time, we have:
Time = volume/rate
Time = 425/2
Time = 212.5 minutes.
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What is the result of taking the difference between sample means, minus the null hypothesized difference, divided by the standard error of the difference between means?
The result of taking the difference between sample means, minus the null hypothesized difference, divided by the standard error of the difference between means is the t-statistic.
What is a t-statistic?When deciding whether to accept or reject the null hypothesis in a T test, the t-statistic is used. It functions similarly to a Z-score in that you choose a cutoff point, calculate your t score, and then compare the two. When you have a limited sample size or don't know the population standard deviation, you utilize the t-statistic.
On its own, the t-statistic doesn't actually reveal much. Similar to how the word "average" is meaningless on its own without any context.
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Find a linear differential operator that annihilates the given function. (Use D for the differential operator.) cos 2x
Let [tex]y=\cos(2x)[/tex], with first two derivatives
[tex]Dy = -2\sin(2x)[/tex]
[tex]D^2y = -4\cos(2x)[/tex]
Consider the linear ODE
[tex]aD^2y + bDy + cy = 0[/tex]
Substitute [tex]y[/tex] and its derivatives and solve for the unknown coefficients [tex]a,b,c[/tex].
[tex]-4a\cos(2x) - 2b\sin(2x) + c\cos(2x) = 0[/tex]
[tex]\implies \begin{cases}-4a+c=0 \\ -2b=0 \end{cases}[/tex]
[tex]\implies b=0 \text{ and } c= 4a[/tex]
Then the minimal ODE with this solution is
[tex]aD^2y + 4ay = 0 \implies \boxed{D^2y + 4y = 0}[/tex]
Which piece of additional information can be used to prove triangle cea triangle cdb
Answer:
well I don't get the question
Which of the following values is not a perfect square?
a.81
b.125
c.49
d.100
Answer: b. 125
Step-by-step explanation:
Find the square roots of each, and if the square root is a decimal, it is not a perfect square.
Square root of 81: 9
Square root of 49: 7
Square root of 100: 10
That leaves 125.
System of Linear Programming:
z=-3x + 5y
x+y> -22
x-y-4
x - y ≤ 2
Minimum value of z:
The minimum value of z is -12.
Given that the system of linear programming
z=-3x+5y
x+y≥-22
x-y≥-4
x-y≤2
Firstly, we will convert the given constraints into equality as
x+y=-22
x-y=-4
x-y=2
Now, we will take the equation x+y=-22 and taking x as 0 as find y and taking y as 0 to find x, we get
If x=0 then y is
0+y=-22
y=-22
If y=0 then x=-22
So, the points lie on the line x+y=-22 is (0,-22) and (-22,0).
Further, we will take the equation x-y=-4 and taking x as 0 as find y and taking y as 0 to find x, we get
If x=0 then y=4
If y=0 then x=-4
So, the points lie on the line x-y=-4 is (0,4) and (-4,0).
Furthermore, we will take the equation x-y=2 and taking x as 0 as find y and taking y as 0 to find x, we get
If x=0 then y=-2
If y=0 then x=2
So, the points lie on the line x-y=2 is (0,-2) and (2,0).
now, we will find the feasible region of the given constraints as shown in figure.
We will find that each constraint will contain origin or not by substituting (0,0), we get
0+0≥-22 containing origin
0-0≥-4 containing origin
0-0≤2 containing origin
From the graph we can see that the minimum value of x is -13 and minimum value of y is -12.
z=-3x+5y
z=-3x+3y+2y
z=-3(x-y)+2y
minmum value of x-y from the given constraints is
-4≤x-y≤2
From here minimum value of x-y is -4
So, z=-3(-4)+2y
z=12+2y
For the minimum value of z the value of y should be minimum.
From the graph we can see the minimum value of y=-12
So, z=12+2(-12)
z=12-24
z=-12
Hence, the minimum value of z for the system of Linear Programming:
z=-3x + 5y, x+y≥-22, x-y≥-4, x - y ≤ 2 is -12.
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Three museums charge an entrance fee based on the number of visitors in the group. the table lists the fees charged by the museums. at which museum is the entrance fee proportional to the number of visitors?
a.
museum a
b.
museum b
c.
museum c
d.
museum a and museum b
The entrance fee is proportional to the number of visitors at A)museum a.
In arithmetic, two sequences of numbers, often experimental statistics, are proportional or at once proportional if their corresponding factors have a regular ratio, that's called the coefficient of proportionality or proportionality consistent.
The definition of proportional is something that has an incredibly correct dating of length or that is appropriate. An example of something proportional is a woman's tiny toes to her quick stature. An instance of something proportional is the quantity of pay a worker receives for the hours that they installed.
While something is proportional to something else, it does no longer suggest the values are equal, simply that they trade with admiration for each other. The regular of proportionality serves as a multiplier.
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Answer:
Museum C
Step-by-step explanation:
If you divide them all (like 3/4) you get .75
On a normal distribution of iq test scores, the average score would be:
The average IQ test score would be 100.
What is a normal distribution?
A probability distribution that is symmetric about the mean or average is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the average value occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.
Average IQ Score
A score of 100 is regarded as the average IQ on various tests. The majority of results (68%) are within one standard deviation of the mean (that is, between 85 and 115). This indicates that the average result is within plus or minus 15 points for almost 70% of test takers.
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all numbers less than 7 and greater than 7
Step-by-step explanation:
123456 less then 7
unlimited greater then 7
The numbers from negative infinity to 7, excluding 7."are less than 7 and "all numbers from 7 to positive infinity, excluding 7" are more than 7.
The combination of positive, negative numbers including 0 are called as integers.
The numbers less than 7 are:
This set includes all real numbers that are strictly less than 7.
It can be denoted as (-∞, 7), which means "all numbers from negative infinity to 7, excluding 7."
The numbers greater than 7 are:
This set includes all real numbers that are strictly greater than 7. It can be denoted as (7, +∞), which means "all numbers from 7 to positive infinity, excluding 7."
Thus, there are infinite numbers which are less than 7 and more than 7.
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help pls im so confused
10(1^2*2^-2)
Answer:
2.5(or 5/2 or 2 1/2)
Step-by-step explanation:
Remember PEMDAS
10 * (1^2 * 2^-2)
10 * (1 * 0.25)
10 * 0.25 =
2.5
How to find the answers?
The computation shows that the value of blue which is represented by x is 12.
How to calculate the value?From the information given, it was stated that 30 people were in the kindergarten.
Green = 10
Red = 8
Blue (x) = 30 - (10 + 8)
= 30 - 18
= 12
Since the teacher want to paint the class with the most favorite color, the appropriate color to use will be blue.
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The Renaissance and the Reformation are often described as eras that had many great advancements. In your opinion, what were the most important changes and advancements that occurred
It's common to hear people say that the Renaissance and Reformation saw numerous significant developments.
Why was Reformation important to the Renaissance?While the Reformation paved the way for the division of religion, the Renaissance paved the way for growth in art and architecture. The main distinction between the Renaissance and the Reformation is this.What impact did the Renaissance have on the Reformation?
According to Palmer, the intellectual activities of the Renaissance stimulated the market for books, inspired people to read more, and inspired them to consider how to alter the present, all of which contributed to the Reformation. Rereading the Bible was one of them, as Luther did.Why was the Renaissance important?
The Renaissance period cultivated a new change in art, knowledge, and culture.
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A grocery store sells a bad of 4 oranges for $1.04. how much would it cost for 11 oranges?
If a grocery store sells a bag of 4 oranges for $1.04 then it will cost $2.86 for 11 oranges.
Given that a grocery store sells a bag of 4 oranges for $1.04 means revenue is $1.04 with no profits.
We have to find the cost of 11 oranges. We have assumed that there are no profits as we are require to find cost. But there is huge difference between cost and profits.
We know that average cost is total cost divided by number of items.
Cost of 4 oranges=$1.04
cost of 1 orange=1.04/4
=$0.26 per orange
Cost of 11 oranges=0.26*11
=$2,86.
Hence if a grocery store sells a bag of 4 oranges for $1.04 then it will cost $2.86 for 11 oranges.
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Perform the indicated equation
Answer:
1
Step-by-step explanation:
When dividing fractions i use the method KFC(keep flip change) :
Keep the first fraction :
[tex]\frac{14a^{2} }{10b^{2} }[/tex]
Flip the second fraction :
[tex]\frac{15b^{2} }{21a^{2} }[/tex]
Change the function :
÷ → ×
Now write your new equation :
[tex]\frac{14a^{2} }{10b^{2} }[/tex] × [tex]\frac{15b^{2} }{21a^{2} }[/tex]
Now multiply the numerators together and the denominators together :
14a² × 15b² = 210a²b²
10b² × 21a² = 210a²b²
Now make this into a fraction again :
210a²b² / 210a²b²
Anything divided by itself is always 1 so :
210a²b² / 210a²b² = 1
Hope this helped and have a good day
please solve this it an urgent maths question
The given magic numbers are placed in the appropriate squares, so that the sum in each row, column and diagonal is all equal as shown below.
How to place the numbers in a magic square?First of all, we would rewrite all the rational numbers in their lowest forms:
32/38 = 16/1918/38 = 9/194/38 = 2/19-14/-38 = -7/-1924/38 = 12/19104/52 = 2/170/95 = 14/1925/95 = 5/1922/38 = 11/19-16/-38 = -8/-1960/114 = 10/19-18/-57 = -6/-19-21/-133 = -3/-1945/57 = 15/19Next, we would write the sum of the numbers in each row as follows:
First row: 16/19 + 9/19 + 2/19 + (-7/-19) = 34/19
Second row: (-6/-19) + (-3/-19) + 12/19 + 2/1 = 34/19
Third row: 11/19 + 14/19 + 5/19 + (-4/-19) = 34/19
Fourth row: 1/19 + (-8/-19) + 15/19 + 10/19 = 34/19
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Express in standard form : 4786.3460
Answer:round to nearest hundredth (4,786.3)
Step-by-step explanation:
hope this helps, if wrong im so sorry :(
find the number set which satifies each of the problems If 20 is added to the number, the absolute value of the result is 6
Answer:
{-14,-26}
Step-by-step explanation:
lx+20l=6
So x+20 is either 6 or -6
x=6-20=-14
x=-6-20=-26
The polygon circumscribes the circle. Which of the following is the perimeter of the polygon?
A. 39 cm
B. 56 cm
C. 61 cm
D. 78 cm
The perimeter of the polygon that circumscribes the circle is 78 cm
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The circle tangent theorem states that tangents which meet at the same point are equal in length. Hence:
The missing lengths are 8, 6, 9 and 16.
Perimeter of the polygon = 2(8) + 2(6) + 2(9) + 2(16) = 78 cm
The perimeter of the polygon that circumscribes the circle is 78 cm
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m is inversely proportional to the square of (p-1).
When p = 4, m = 5.
Find m when p = 6.
Answer:
9/5
Step-by-step explanation:
First we have to find the constant k
m = k/(p-1)^2 (p-1)^ goes on the bottom of the fraction because of the inverse.
5 = k/(4-1)^2
5 = k/3^2
5 = k/9 Multiply both side by 9
45 = k We know can use this constant to solve our problem
m = 45/(6-1)^2
m = 45/5^
m = 45/24
m = 9/5
PLEASE HELP 80 POINTS!!!!!
Answer: reflection across x axis and y axis?
Step-by-step explanation: repost question with the possible answers!
Question 6 of 25
A high school teacher grades a math test. She wants to see the numerical
grade of each student. Which item should she use so she can quickly see
how many students got each score?
A. None of these
B. Frequency table
OC. Line plot
OD. Pie chart
Select the correct equation.
The focus and directrix of a parabola are shown. What is the equation of the parabola?
Check the picture below, so the parabola looks more or less like that one, with a "p" distance of 2 units that is positive, whilst the vertex, which is always half-way between the focus point and the directrix is where you see it there, thus
[tex]\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{cases} h=-1\\ k=2\\ p=2 \end{cases}\implies 4(2)( ~~ x-(-1) ~~ )~~ = ~~(y-2)^2\implies 8(x+1)=(y-2)^2 \\\\\\ x+1=\cfrac{1}{8}(y-2)^2\implies \boxed{x=\cfrac{1}{8}(y-2)^2-1}[/tex]
Answer: UR WELCOME
Step-by-step explanation: ANSWER ON EDMENTUM
Mrs. Anderson had twice as many chickens as ducks. she sold 272 chickens and 16 ducks. She then had half as many chickens as ducks. How many chickens does she have?
The number of chickens she had was 352
Applications of equationsFrom the question, we are to determine the number of chicken she has
Let c represent chicken
and d represent ducks
From the given information,
Mrs. Anderson had twice as many chickens as ducks
c = 2d ---------- (1)
She sold 272 chickens and 16 ducks and then had half as many chickens as ducks
(c-272) = 1/2(d -16) ---------- (2)
Put equation (1) into (2)
2d - 272 = 1/2(d - 16)
2(2d - 272) = d- 16
4d - 544 = d - 16
4d - d = 544 - 16
3d = 528
d = 528/3
d = 176
Substitute the value of d into equation (1)
c = 2d
c = 2(176)
c = 352
Hence, the number of chickens she had was 352
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A 1500 pound car is stopped in traffic on a hill that is at an incline of 10°. determine the force that is required to keep the car from rolling down the hill.
Answer: about 260 Lb
Step-by-step explanation:
can someone please help me
Matt's family traveled 3/8 of the distance to his grandmother’s house on Saturday. They traveled 3/5 of the remaining distance on Sunday. What fraction of the total distance to his grandmother’s house was traveled on Sunday?
Answer:
3/8
Step-by-step explanation:
Let's use a sample number of 100 miles
If 3/8 was traveled the first day, then 37.5m were traveled on the first day.
Now on Sunday, there are 62.5m remaining in the trip. They travel 3/5 of that, meaning they went 62.5 * 3/5m. This turns out to be 37.5 miles that were traveled on Sunday.
37.5/100 = 3.8