what is dimension of work done?
Answers
Answer:
ML2T-2
Step-by-step explanation:
Related Questions
Explain how to graph the given piecewise-defined
function. Be sure to specify the type of endpoint each
piece of the function will have and why.
f(x)
X + 3, x < 2
3,
2 ≤ x < 4
4 - 2x,
X 2 4
Answers
The Piecewise -Defined function and how it is graphed is given below..
What is the explanation of how the Piecewise -Defined function is graphed?
Given the function in the attached image,
The Graph of f(x) = -x + 3 is drawn for x less than 2 because x is bounded.The Graph of f(x) = 3 is draw for x greater than and equal to 2 and less than 4 because x is bounded.The Graph of f(x) = 4 - 2x is draw for x greater than equal to 4 because x is bounded.See the attached Graph for better understanding.
f(x) = -x + 3 is coded purple.f(x) = 3 is coded orange.f(x) = 4 - 2x is coded green.Learn more about Piecewise -Defined function:
https://brainly.com/question/18859540
#SPJ1
?
What is the equation of a parabola that has a vertical axis,
passes through the point (-1, 3), and has its vertex at (3, 2)?
X=
y=
y=
X =
уг
16
х2
16
+
+
бу
16
6x 41
16 16
41
16
x2 6х
41
+
16 16 16
уг бу
41
16 16 16
+
Answers
Answer: Option (3)
Step-by-step explanation:
Since the parabola has a vertical axis of symmetry, we can eliminate Options (1) and (4).
To see whether options (2) or option (3) is correct, we can substitute in [tex]x=-1[/tex] and see if we get y=3.
Doing this with option (2), we get y = -3, so it is wrong.
Doing this with option (3), we get y = 3, as required.
So, option (3) is correct.
Add these fraction
1) 2/3 + 6/3
2) 4/6+9/6
3) 6/6+6/6
Answers
The values of (2/3 + 6/3), ( 4/6 + 9/6 ) and ( 6/6 + 6/6 ) are 8/3, 13/6 and 2 respectively.
What is the value of the addition operation?Given that;
1) 2/3 + 6/3
We combine the numerators over the common denominators
= ( 2 + 6 ) / 3
= 8/3
2) 4/6 + 9/6
We combine the numerators over the common denominators
= ( 4 + 9 ) / 6
= 13/6
3) 6/6 + 6/6
We combine the numerators over the common denominators
= ( 6 + 6 ) / 6
= 12/6
= 2
The values of (2/3 + 6/3), ( 4/6 + 9/6 ) and ( 6/6 + 6/6 ) are 8/3, 13/6 and 2 respectively.
Learn more about fractions here: https://brainly.com/question/10354322
#SPJ1
Modules
Honorlock
An on-demand printing company has monthly overhead costs of $2,200 in rent, $380 in
electricity, S65 for phone service, and $240 for advertising and marketing. The printing
cost is $30 per thousand pages for paper and ink. The average cost for printing.x
thousand pages can be represented by the function
2,885 +30x
C(x)=
X
For a given month, if the printing company could print an unlimited number of pages,
what value would the average cost per thousand pages approach? What does this mean
in the context of the problem?
O The average cost would approach infinity. The more pages the company prints, the
higher the average cost.
o The average cost would approach $30 per thousand pages or
equivalently $0.03 per page. This is the cost per page in the absence
of fixed costs.
o The average cost would approach $2,885 per thousand pages. This is
the total of the fixed monthly costs.
o The average cost would approach $0 per thousand pages. The more
pages the company prints, the lower the average cost.
MacBook Pro
Time Running
Attempt due: Jul
29 Minutes, 42
Answers
Answer:
Step-by-step explanation:
Comment
The formula used to figure out the costs is
C(x) = 2885 + 30x
2885 is the total of the fixed costs -
Rent 2200Electricity 380Phone 65Marketing 240Total 2885Now the problem gets sort of complicated. If the company could print an unlimited amount of pages, the 2885 remains the same, no matter what.
But x gets larger and larger. and so C(x) gets larger and larger.
Answer
Therefore the average cost would approach infinity.
A
The vertices of a triangle are P (-6,1), Q(-2,5) and R (8,1) - what is the slope of the median of the triangle that passes through point R?
What is the slope of the altitude of the triangle that passes through point Q?
Answers
The slope of the median of the triangle whose vertices are P(-6,1),Q(-2,5) R(8,1) and passes through R is -1/6.
Given that vertices of triangle is P(-6,1),Q(-2,5),R(8,1) and there is a median which passes through R.
Median of a triangle is a line segment which originates from a vertex of triangle and divides the opposite side in two equal parts. let median touches the line at L point.
When line passes through R then it must be a perpendicular on PQ. The coordinates of L is {(-2-6)/2,(5+1)/2}=(-4,3)
Now because median passes through R,it will be LR and we know that the formula of calculating slope of line from two points is [tex](y_{2} -y_{1} )/(x_{2} -x_{1} )[/tex] where [tex](x_{1} ,y_{2} ),(x_{2} ,y_{2} )[/tex] are the points of the end points of line.
Slope=(1-3)/(8+4)
=-2/12
=-1/6
Hence the slope of the median of the triangle whose vertices are P(-6,1),Q(-2,5) R(8,1) and passes through R is -1/6.
Learn more about slope at https://brainly.com/question/3493733
#SPJ1
In a one tail hypothesis where you reject H0 only in the upper tail, what is the pvalue if Zstat = +2.10
Answers
The outcome P-Value is 0.0179 when Zstat = +2.10
According to the statement
we have given the value of Z-Stat which is +2.10
And we have to find the P value when H0 is rejected only in the upper tail
Z-stat is defined as the Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.
And
we know that the relationship between Z-Stat and the p value is the P-Value is calculated by converting your statistic (such as mean / average) into a Z-Score.
So, the outcome p value is 0.0179
So, The outcome P-Value is 0.0179 when Zstat = +2.10
Learn more about the P-VALUE here https://brainly.com/question/4621112
#SPJ1
If the speed of a fluid in a pipe of a Cross-sectional area 100 cm³ is 30ms, what will be it's speed in a pipe of radius 10cm connected to the other end.
Answers
Answer:
watch oreimo..
Ned and Sam are playing a game. Ned has -3 points. Sam has -8 points. How many more points does Ned have than Sam? Please provide an equation and an answer.
Answers
Answer:
5 points
Step-by-step explanation:
Subtracting their scores, we get (-3)-(-8)=5
a company has six employees.The salary of five of the employees are P2200,P1300,P800,P940 and P560.When the sixth employee is included,the total monthly salaries of the employees becomes P7000.
Calculate the salary of the sixth employees
The company is joined by two more employees whose salaries are of equal amounts.The mean salary of all 8 employees is P1100
Calculate the monthly salary of each of the new employees
Answers
Answer:
First answer is 1200
Second answer is 900 for each new employee
Step-by-step explanation:
First answer:
2200+1300+800+940+560+x = 7000
5800+x = 7000 subtract 5800 from both sides and you get your answer
x = 1200
Second answer:
x = 900. Each of the two employees made 900 a month or 1800 a month for both of them.
To find the average we take the total salaries and divide by the number of people to find the average salary. In this case, we know the average and we know all of the salaries, but two. We can figure this out.
(7000 + 2x)/8 = 1100 multiple both sides by 8 to clear the fraction/
7000 +2x = 8800 Subtract both sides by 7000
2x = 1800 Divide both sides by 2
x = 900
How do you work this equation? x² + x - 30 = 0
Answers
Answer:
x = 5 , x = - 6
Step-by-step explanation:
First we factor using factorisation method :
We need 2 numbers that multiply to give +1 and add to give -30 :
To find these numbers we write out all the factors of 30 :
1, 30
2 , 15
3 , 10
5 , 6 ----> These must be the numbers as -5+6 = 1
Now we split +x into -5x and +6x :
x² -5x + 6x -30 = 0
Factor the first 2 terms together and the last two terms :
x(x-5) + 6(x-5) = 0
Keep 1 bracket and terms outside the brackets collect them into one:
(x-5)(x+6) = 0
We know that 1 of these brackets must be equal to zero as anything multiplied by zero = 0
Either x - 5 =0 OR x + 6 = 0
So x = 5 x = - 6
These are our final answers
Hope this helped and have a good day
Answer:
(x-5) (x+6)
x=5
X=-6
Step-by-step explanation:
x²+x-30=0
factorizing
x²-5x+6x-30=0
x(x-5)+6(x-5) =0
(x-5)(x+6)=0
now solve individually
x-5=0
send 5 to the other side
x=5
x+6=0
send 6 to the other side
x=-6
hope you understand the procedure
a square foot has 16 tiles each tile is 1 square ft what is the length of one side of the square floor
Answers
Answer:
4 ft
Step-by-step explanation:
The area of each tile is tile is 1 square ft, so the total area of the floor is 16 square ft.
Therefore, the side length is 4 ft.
Determine a limit for a piecewise function
Answers
The limit for the given piecewise function does not exist(DNE).
4th option is correct.
What is the limit of a function?In mathematics, limits are the points at which a function approaches the output for the specified input values. Calculus and mathematical analysis depend heavily on limits, which are required to determine integrals, derivatives, and continuity. It is applied during the analysis process and always focuses on the function's behavior at a certain time.
Unique real numbers are limits in mathematics.
According to the question,
Left hand limit of the function= -5(3)+4 = -15+4 = -11
Right hand limit of the function= (3)(3)+2 = 11
As the left and right-hand limits are not equal. Thus, the limit of the function does not exist.
Learn more about limits here:
https://brainly.com/question/23935467
#SPJ1
Question
If the length of the side of a square is 3x - y, what is the area of the square in terms of x and y?
3x² - 2xy + y²
3x² - 6xy + y²
09x² +6xy-y²
9x² - 6xy + y²
Answers
The area of the square is given by the quadratic expression:
[tex]A = 9x^2 - 6xy + y^2[/tex]
How to express the area of the given square?If we have a square whose side measures S, the area of said square is given by the equation:
[tex]A = S^2[/tex]
In this case, we know that the side length of our square is given by:
[tex]S = 3x - y[/tex]
Replacing that in the area equation we get:
[tex]A = (3x - y)^2[/tex]
Now we just need to expand that product, we will get:
[tex]A = (3x - y)^2 = (3x)*(3x) + (3x)*(-y) + (-y)*(3x) + (-y)*(-y) \\\\A = 9x^2 - 6xy + y^2[/tex]
Then we can see that the correct option is the last one.
If you want to learn more about squares you can read:
https://brainly.com/question/24487155
#SPJ1
The number of bats in a colony is growing exponentially. After 3 years, there were 272 bats. After 5 years, there were 1088 bats.
If the colony continues to grow at the same rate, how many bats are expected to be in the colony after 11 years? Do not include units in your answer.
Answers
The number of bats are expected to be in the colony after 11 years if the colony continues to grow at the same rate is 69,632
Exponential functionLet
Number of bat at a time = n(t)exponential function;
y = ax^t
When t = 3
272 = ax³
when t = 5
1088 = ax^5
divide both equation272/1088 = ax^3 / ax^5
1/4 = x^3-5
1/4 = x^-3
1/4 = 1/x²
1 × x² = 4 × 1
x² = 4
x = 2
Substitute x = 2 into
272 = ax³
272 = a × 2³
272 = a × 8
272 = 8a
a = 272/8
a = 34
Number of bat expected at the colony after 11 years
y = ax^t
= 34 × 2^11
= 34 × 2048
y = 69,632 bats
Learn more about exponential function:
https://brainly.com/question/14804974
#SPJ1
please answer this i have tried lots of answers but they are all wrong urgent
Answers
(b). Kite and irregular trapezium.
(c). Isosceles Triangles.
(a). All four sides are equal and the angles are right-angled (90 degrees).
(b). A quadrilateral has no pairs of parallel sides is a Kite and irregular trapezium.
(c). A triangle having one pair of equal sides and one pair of equal angles is an isosceles Triangle.
What is geometry?One of the first areas of mathematics is geometry, along with arithmetic. It is focused on spatial characteristics that relate to the proximity, size, shape, and relative placement of objects.
(a). Two features that make the shape square are all four sides equal and the angles are right-angled (90 degrees).
(b). A quadrilateral has no pairs of parallel sides is a Kite and irregular trapezium.
(c). A triangle having one pair of equal sides and one pair of equal angles is an isosceles Triangle.
To know more about geometry follow
https://brainly.com/question/19241268
#SPJ2
Olivia has made a pyramid model for her history project at school. The pyramid model has a square base. Each triangular side of the
model has a base length of 10 centimeters and a slant height of 8.9 centimeters. Olivia wants to wrap the pyramid in wrapping paper
before putting it into her school bag.
How much wrapping paper will Olivia need to cover the pyramid?
OA. 178 square centimeters
OB. 89 square centimeters
OC. 456 square centimeters
OD. 278 square centimeters
Answers
Answer:
278 square centimeters
Step-by-step explanation:
You need to use the Pythagorean Theorm. If you're pyramid is a perfect square, then to the middle the length is 5. Because 10/2 is 5. You then use the Pythagorean Theorm (a^2 + b^2 =c^2) to find the side length of the traingle. When you square the hypotenuse and subtract the bottom leg sqaured, you are left with 3.46274054 after square rooting it. (c^2-a^2=b^2) Plug these into the equation for a right, rectangluar pyramid. You then get 277.9, rounded, is 278.
Hope this helps!
PLSS HELPPPPP ASAPP
Answers
Answer:
Step-by-step explanation:
area=length×width
=(2x+3)(3x-5)
Area=6x²-10x+9x-15
=6x²-x-15
What is 20% of 50 apples
Answers
Answer:
10
Step-by-step explanation:
Answer:
10 apples
Step-by-step explanation:
20% of 50 = 10
10 apples
Part of your job as manager is to count the cash for the daily bank deposit. When you count the cash, you have 47 ones, 22 fives, 9 tens and 17 twenties. You also have 67 pennies, 12 nickels, 9 dimes and 15 quarters. What is the total amount of the deposit?
Answers
Answer:
$592.92
Step-by-step explanation:
Bills:
47 ones = 47*1 = $47
22 fives = 22*5 = $110
9 tens = 9*10 = $90
17 twenties = 17*20 = $340
Total Bills: 47+110+90+340 = $587
Coins:
67 pennies = 67*1 = $0.67
12 nickels = 12*5 = $0.60
9 dimes = 9*10 = $0.90
15 quaters = 15*25 = $3.75
Total Coins: 0.67+0.6+0.9+3.75 = $5.92
Total: $587+$5.92 = $592.92
Can you help with this question? I'm not sure if the black highlighted choice is right
Answers
Answer:
See below
Step-by-step explanation:
Remember... when you square a negative number, you get a positive result
AND you cannot divide by zero AND you cannot have the sqrt of a negative number so:
-2 > x > 2 (looks like 'D' but there is a negative sign missing)
A parking garage bases its prices on the number of hours that a vehicle parks in the garage.
Graph of a piecewise function with one piece constant from 0 comma 2 to 2 comma 2 and another piece going from the point 2 comma 2 to 6 comma 10 and another piece going from 6 comma 10 through 7 comma 11 to the right
Based on the graph, what is the pricing scheme the parking garage uses for vehicles?
The first two hours cost $2, between two hours and six hours cost $2 per hour, and all hours after that cost $1.
The first two hours cost $2, between two and four hours cost $1 per hour, and all hours after that cost $0.50.
The first two hours cost $1 per hour, between two hours and six hours cost $2 per hour, and all hours after that cost $1.
The first two hours cost $1 per hour, between two hours and six hours cost $1 per hour, and all hours after that cost $0.50.
Answers
The pricing scheme of the function is (a) The first two hours cost $2, between two hours and six hours cost $2 per hour, and all hours after that cost $1.
How to determine the pricing scheme?The points are given as:
Constant = (0,2) to (2, 2)Another = (2,2) to (6,10)Another = (6,10) to (7,11)The constant interval implies that the first two hours cost $2
Next, we calculate the slope/rate of the other points.
This is done using
m = (y2 - y1)/(x2 - x1)
So, we have:
m1 = (10 - 2)/(6 - 2) = 2
m2 = (11 - 10)/(7 - 6) = 1
This means that:
The next 4 hours are charged for $2 per hourAll hours after that cost $1Hence, the pricing scheme of the function is (a)
Read more about piecewise function at:
https://brainly.com/question/12561612
#SPJ1
In the drawing below, what choice shows the corresponding sides as equal ratios?
Answers
Considering the similarity of triangles, the corresponding sides are:
[tex]\frac{DE}{AB} = \frac{EF}{BC} = \frac{DF}{AC}[/tex].
What are similar triangles?If two triangles have the exact same angles, they are called similar, and the corresponding sides, that is, the sides adjacent to the same angles, have proportional lengths.
In this problem, the corresponding sides have equal ratios given as follows:
[tex]\frac{DE}{AB} = \frac{EF}{BC} = \frac{DF}{AC}[/tex].
More can be learned about similarity of triangles at https://brainly.com/question/11920446
#SPJ1
two sides of a triangle are 5 and 55 cm complete the inequality to show the possible lengths of the third side _ < x < _
Answers
Answer:
50<x<60
Step-by-step explanation:
The triangle can only be formed with these two side lengths if the third side is bigger than (Subtract them)
55 - 5
...and smaller than (Add them)
55 + 5
55-5 < x < 55+5
50 < x < 60
Write the trig form of the complex number
18i
Answers
The trigonometric form of the complex number given in the task content is; 18(isin(π/2)).
What is the trigonometric form of the complex number?If follows from the task content that the complex number whose trigonometric representation is to be determined is; 18i.
Hence, It follows that the trigonometric form is;
= 18(cos(π/2) + isin(π/2)). where; cos(π/2) = 0.
Hence, we have;
= 18(isin(π/2)).
Read more on complex numbers;
https://brainly.com/question/10662770
#SPJ1
za = a + b/m, solve for a
Answers
Answer: [tex]a=\frac{b}{zm-1}[/tex]
Step-by-step explanation:
Let's first multiply both sides by m to get rid of the denominator.
[tex]za=\frac{a+b}{m}\\zam=a+b[/tex]
Now, we have an a on both sides of the equation. It will be easier to solve if there is only one, so let's divide both sides by a.
[tex]\frac{zam}{a}=\frac{a+b}{a}\\zm=\frac{a}{a}+\frac{b}{a}\\zm=1+\frac{b}{a}[/tex]
The 1 on the right can be moved to the left to isolate the fraction.
[tex]zm-1=\frac{b}{a}[/tex]
We want to get a by itself, so let's multiply it on both sides to remove it from the denominator.
[tex]a(zm-1)=b[/tex]
Finally, we can divide zm-1 from both sides to get a by itself.
[tex]a=\frac{b}{zm-1}[/tex]
what is the least common denominator of 1/2 5/6
Answers
Answer:
Multiples of 4:4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …
Multiples of 6:6, 12, 18, 24, 30, 36, 42, 48, 54, 60, …
Answer: The least common denominator of 1/4 and 1/6 is 12.
Prime factorisations of 8= 2 × 2 × 2.
Prime factorisations of 12= 2 × 2 × 3.
More items...
Hi! ⋇
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
To find the least common denominator of [tex]\sf{\frac{1}{2}}[/tex] and [tex]\sf{\frac{5}{6}}[/tex], we should first find the least common multiple of 2 and 6, which is 6:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16... ∞
Multiples of 6: 6, 12, 18, 24... ∞
(all common multiples are in bold-face; all multiples of 6 are in bold-face because all multiples of 6 are also multiples of 2)
· In both sets, 6 is the least common multiple, and it's also the least common denominator.
Hope this made sense to you !!
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
On a number line, suppose point E has a coordinate of 4, and EG = 11. What are the possible coordinates of point G?
The possible coordinates for G are
(Type integers or decimals. Use
comma to separate answers as needed.)
Answers
Answer:
-7, 15
Step-by-step explanation:
The positive difference between E and G is 11.
SolutionG - E = 11
G = 11 + E = 11 + 4
G = 15 . . . . . . . . . . . . . when G is right of E
__
E - G = 11
E - 11 = G = 4 - 11
G = -7 . . . . . . . . . . . . when G is left of E
Possible coordinates for G are -7 and 15.
Work out the surface area.
Answers
Answer:
The surface area (SA) of the given triangular prism is 120m.
Step-by-step explanation:
Greetings !
B/c, SA=bh+(b₁+b₂+b₃)l
SA=4(3)+(4+3+5)9SA=12+(12)9SA=12+108SA=120mAnswer:
SA = 120 m2
Step-by-step explanation:
one 9×5 rectangle = 45 m2
one 4×9 rectangle = 36 m2
one 9×3 rectangle = 27 m2
two (4×3)/2 triangles = 6 + 6 = 12 m2
Add the areas:
surface area = 45 + 36 + 27 +12 = 120 square meters
Hope this helps
will give brainliest
Answers
The equation of a hyperbola is [tex]x^{2}[/tex]/9 - [tex]y^{2}[/tex]/4 = 1
What are the steps to Hyperbola equation ?
To find the equation of hyperbola, the following steps must be taken. You need to identify;
The coordinate of the centerThe coordinate of the verticesThe coordinate of the fociThe general equation of a hyperbola can be expressed as
[tex]x^{2}[/tex]/[tex]a^{2}[/tex] - [tex]y^{2}[/tex]/[tex]b^{2}[/tex] = 1
From the graph, we have the following parameters
a = 3
[tex]a^{2}[/tex] = [tex]3^{2}[/tex] = 9
b = 2
[tex]b^{2}[/tex] = [tex]2^{2}[/tex] = 4
The equation of a hyperbola can be expressed as
[tex]x^{2}[/tex]/9 - [tex]y^{2}[/tex]/4 = 1
The vertices = V(+/-a,0) = (+/-3,0)
The center = C(0,0)
The focus = F(+/-C, 0)
Where [tex]C^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex]
C = [tex]\sqrt{9 + 4}[/tex]
C = [tex]\sqrt{13}[/tex]
Focus = F(+/- [tex]\sqrt{13}[/tex], 0)
The general equation for asymptote = +/- b/a X
= +/-2/3X
Therefore, the equation of a hyperbola can be expressed as
[tex]x^{2}[/tex]/9 - [tex]y^{2}[/tex]/4 = 1
Learn more about hyperbola here: https://brainly.com/question/3405939
#SPJ1
need help on this problem
Answers
Using an exponential function, it is found that:
For Country A, the doubling time is of 43 years.For Country B, the growth rate is of 1.9% per year.What is the exponential function for population growth?The exponential function for population growth is given as follows:
[tex]P(t) = P(0)e^{kt}[/tex]
In which:
P(t) is the population after t years.P(0) is the initial population.k is the exponential growth rate, as a decimal.t is the time in years.For Country A, we have that k = 0.016. The doubling time is t for which P(t) = 2P(0), hence:
[tex]P(t) = P(0)e^{kt}[/tex]
[tex]2P(0) = P(0)e^{0.016t}[/tex]
[tex]e^{0.016t} = 2[/tex]
[tex]\ln{e^{0.016t}} = \ln{2}[/tex]
[tex]0.016t = \ln{2}[/tex]
[tex]t = \frac{\ln{2}}{0.016}[/tex]
t = 43 years.
For Country B, P(36) = 2P(0), hence we have to solve for k to find the growth rate.
[tex]P(t) = P(0)e^{kt}[/tex]
[tex]2P(0) = P(0)e^{36k}[/tex]
[tex]e^{36k} = 2[/tex]
[tex]\ln{e^{36k}} = \ln{2}[/tex]
[tex]36k = \ln{2}[/tex]
[tex]k = \frac{\ln{2}}{36}[/tex]
k = 0.019.
For Country B, the growth rate is of 1.9% per year.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1