Answer:
point A is the answers for the question
Step-by-step explanation:
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The expression representing the perimeter of the polygon is given as follows:
7mn³/3 + 4m² + 3mn².
What is the perimeter of a polygon?The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.
Hence the perimeter for the polygon in this problem is given as follows:
mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².
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A laptop computer consumes about 20 watts of electricity per hour when operating. At 10 cents per kilowatt-hour, how much does a laptop cost to operate for 5 hours?
Answer:
It cost 50 cents and if you need to know it uses 500 watts.
Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium?
Hint: Think about the point where they both meet. For example, if you were to place the graphs on top of each other, what would be the point of intersection?
Type the correct number below without the dollar sign.
Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.
Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.
Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.
At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.
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W-6.67=2.27
I need help with this
2x + 3y = 13
5x – 3y = 1
What is the value of x?
What is the value of y?
Use elimination.
Add the equations by columns to get the third equation,
\(2x+5x=7x\)
\(3y-3y=0\)
\(13+1=14\)
The new equation has only one unknown, \(7x+0=14\) so \(x=2\).
Now plug in the fact that \(x=2\) into one of the equations and solve for y (I will pick 2nd equation),
\(5\cdot2-3y=1\)
\(-3y=-9\implies y=3\).
The value of \(x=2\) and \(y=3\).
Hope this helps :)
Find the equation of the line, in slope-intercept form, that passes through the points (-2, -4) and (2,8).A) y = 1/3x + 22/3B) y = 3x + 14C) y = 3x + 2 D) y = - 3x + 14
The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m = slope
c = y intercept
The formula for calculating slope is expressed as
m = (y2 - y1)/(x2 - x1)
where
x1 and y1 are the x and y coordinates of the initial point
x2 and y2 are the x and y coordinates of the final point
From the information given, the initial point is (- 2, - 4) and final point is (2, 8)
Thus,
x1 = - 2, y1 = - 4
x2 = 2, y2 = 8
By substituting these values into the slope formula,
m = (8 - - 4)/(2 - - 2) = (8 + 4)/(2 + 2) = 12/4 = 3
We would find the y intercept, c by substituting m = 3, x = - 2 and y = - 4 into the slope intercept equation. We have
- 4 = 3 * - 2 + c
- 4 = - 6 + c
Adding 6 to both sides of the equation,
- 4 + 6 = - 6 + 6 + c
c = 2
By substituting m = 3 and c = 2 into the slope intercept equation, the equation of the line is
C) y = 3x + 2
Brian and Colin win some money and share it in the ratio 5:1. Brian gets £60 more than Colin. How much did they get altogether?
Brian gets 5x and Colin gets x amount.
Brian gets 60 more than Colin, so you get:
5x - x = 60
Simplify to get:
4x = 60
Divide both sides by 4:
x = 15
Brian gets 5x = 5(15) = 75
Colin gets x = 15
75 + 15 = 90
The total amount they get is £90
Find the inverse function of f(x) = x^3/2
Answer:
The answer is f^-1(x)=0^3\(\sqrt{x}\)+2
Step-by-step explanation: Now we just change y back to f(x) and add a 0−1 to write it in inverse notation We begin with f(x)= x 3−2 . To find the inverse of any equation, just switch x and y No, before we do that, I'm going to change the equation. I'm going to rename f(x) to y , just so that I don't have to deal with the parentheses or anything. Now, all I have to do is change what f (x) is called, not it's actual value. Anyways, we have y = x 3 − 2 Now we switch x and y and then solve for y Now we've got x = y 3−2 If we add 2 on both sides we have x + 2 = y 3 Now we just need to get y as simple as possible, which we'll do by cube rooting both sides of the equation. That leaves us with y=0 3√x+2 Now we just change y back to f(x) and add a 0−1 to write it in inverse notation
With your team, create a piecewise-defined function with at least three “pieces.” The function does not need to be a step-function with horizontal line segments, but it needs to meet the definition of a function. Make a table and a graph for your function, and write an equation for each part. Be sure to state the domain for each part, as well as the domain for the whole function.
On solving the provided question we can say that The following is the data table of the function.
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
here,
the provided functions that can be formed are
x -infinity < x < -10
f(x) = 2x + 10 -10 < x < 10
4X - 10 10 < x < infinty
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.
A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.
Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
The provided functions that can be formed are
\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
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This circle is centered at the origin, and the length of its-radius is 3. What is
the circle's equation?
Answer:
The circle equation is x2+y2=9
Step-by-step explanation:
∴ The equation is x2 + y2=9
Find the
area of the parallelogram.
The area of this parallelogram is:
10 unit²
Answer:
10 units
Step-by-step explanation:
2x5
What is the slope of the graph/ What does the slope tell you?
Answer both for brainliest
Answer:
Slope= 30
Step-by-step explanation:
What does the slope tell me?
It tells me that every time I try to find the slope with different points I get 30 for slope.
make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
Identify the slope and y intercept of each graph. Drag the 3 points to the correct places on the graph drag and adjust the line so it goes through the points on the line
Y = 2x - 5
M =
B =
Answer:
slope: 2 , y-int: (0, -5)
Step-by-step explanation:
Select all the points that are on the graph of the line:
2x + 4y=20
Answer:
B=10
Step-by-step explanation:
worked it out on a graph on the internet
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 20 miles per hour slower than the westbound train. If the two trains are 360 miles apart after 2 hours, what is the rate of the eastbound train?
Answer:
Westbound = x;
Eastbourne = x-20;
So they will have the common rate: 360/2 = 180;
x+x-20 = 180
2x = 200;
x = 100;
So Eastbourne will be 100-20 = 80 miles per an hour;
Please show work and thank you
Answer:
x = 6
Step-by-step explanation:
A 45-45-90 isosceles right triangle has side lengths in the ratios ...
1 : 1 : √2
__
That is, the longest side (marked x in this figure) is √2 times the length of the other two equal-length sides.
x = (√2)×3√2 = 3×2
x = 6
Find the missing angle
measures marked with
question marks.
Answer:
First one- The ? across from 70 degrees is 70 degrees, and the ones on the side are both 110 degrees.
The second one- The one across 53 degrees is 53 degrees and the ones are the side are both 127 degrees.
Step-by-step explanation:
Take the shown angle and subract that by 180 degrees to get your answer for the missing angles. And the one across from the shown angle is the same number.
Hope this helped im not sure if its right though.
En una prisión federal para mujeres, 100 de las 240 internas tienen puntos de vista izquierdistas. Si se elige al azar a 5 de ellas para comparecer ante el juzgado, determine la probabilidad de que solo una de ellas tendrá
ideas políticas de izquierda.
Answer: La probabilidad es 0.24
Step-by-step explanation:
De 240 personas, sabemos que 100 tienen una vista izquierdista.
Entonces la probabilidad de que una persona, seleccionada al azar, tenga una vista política izquierdista es:
Pa = 100/240 = 5/12
Entonces la probabilidad de que una persona elegida al azar NO tena una vista política izquierdista, es:
Pb = 1 - Pa = 1 - 5/12 = 7/12.
Queremos calcular la probabilidad que de 5 personas elegidas al azar, solo una tenga una vista izquierdista.
Entonces vamos a tener Pa una vez, y Pb 4 veces.
Y como sabemos, la probabilidad conjunta es igual al producto de las probabilidades, entonces:
p = Pa*Pb^4 = (5/12)*(7/12)^4
Pero esto va a ser para un solo arreglo (por ejemplo, de las 5 personas electas, la primera tiene una visión izquierdista), entonces tenemos que tener en cuenta las permutaciones, que van a ser las posibles permutaciones de un elemento en un espacio de 5 posibles espacios.
Son 5 permutaciones, y estas son:
La primera tiene visión izquierdista.
La segunda tiene visión izquierdista.
La tercera tiene visión izquierdista.
La cuarta tiene visión izquierdista.
La quinta tiene visión izquierdista.
Que también es igual a la combinatoria de 5 en 1.
\(C(5,1) = \frac{5!}{(5 - 1)!*1!} = 5\)
Entonces la probabilidad que buscamos va a ser:
P = 5*p = 5*(5/12)*(7/12)^4 = 0.24
A baker would like to store 12 and 3/4 pounds of flour in containers that each hold 3 1/2 pounds of flour. How many containers will the baker need? Explain by completing the equation.
Answer:
4
Step-by-step explanation:
Because he has to store it all and not all would fit in the third container.
A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 102. What was the number he chose?
Answer:
51
Step-by-step explanation:
let's set the starting number as x
1. x times 2 = 2x
2. 2x- 138
3. result = 102
So, 2x-138 = 102
Now lets work backwards to solve for x.
1. 2x = 102
x = 51
So the starting number was 51.
Side XY of triangle XYZ is extended to point W, creating a linear pair with ∠WYZ and ∠XYZ.
Triangle X Y Z. Point W extends from side X Y. Angle Z is 36 degrees, angle Y is x degrees, and exterior angle W Y Z is 100 degrees.
What is the value of x?
Answer:
\(x= 80^o\)
Step-by-step explanation:
Given
\(\angle Z = 36^o\)
\(\angle WYZ = 100^o\)
Required
Find x
\(\angle WYZ\) and x are on a straight line.
So:
\(\angle WYZ + x= 180^o\)
Make x the subject
\(x= 180^o -\angle WYZ\)
Substitute known value
\(x= 180^o -100^o\)
\(x= 80^o\)
Answer:
80 is correct
Step-by-step explanation:
Write the missing numbers
2. 200 300
-600 +400
_____ _____
3. 3 hours= ____minutes
_____hours= 1 day
_______months= 2 years
The missing numbers are 3 hours = 180 minutes 24 hours = 1 day
24 months = 2 years
What are numbers ?
A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that uses digits or symbols to represent them.
An arithmetic value used to indicate amount is called a number. A number is a mathematical concept that is used for counting, measuring, and labeling. Thus, mathematics is built on numbers. For instance, this is a single butterfly, and these are four.
1. 5 × x = 45
45 / 5 = x
x = 9
45 ÷ 5 = 9
2. 200 + 600 = 800
300 + 400 = 700
3. 3 hours = 180 minutes
3 * 60 minutes
24 hours = 1 day
24 months = 2 years
12 * 2 = 24
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PLEASE HELP ME ASAP IM LOSING POINTS
Let's solve this problem step-by-step:
1. Let's put this in a fraction format:
6834 ÷ 17 = \(\frac{6834}{17}\)
2. Now we know 6834 = 6800 + 34
⇒ so:
\(\frac{6834}{17} =\frac{6800+34}{17} =\frac{6800}{17} +\frac{34}{17}\)
3. Now let's convert the fractions to denominators
\(\frac{6800}{17} +\frac{34}{17} =\) (6800 ÷ 17) + (34 ÷ 17)
Let's check:
6834 ÷ 17 = 402(6800 ÷ 17) + (34 ÷ 17) = (400) + (2) = 400 + 2 = 402
Answer: (6800 ÷ 17) + (34 ÷ 17) or Choice (C)
x2 + 2x - 1 = 0 solve for x
Answer:
Ohio state university football roster
1,2,3,4,5 what is probability that an even number will be chosen?
Answer:
Step-by-step explanation:
step 1
100%/the total number = percent for one probability
100/5 = 20%
2 and 4 is even.
total even number * percent for one probability = total percent for even number
20% * 2 = 40%
therefore total even number is 40%
The probability is:
2/5Step-by-step explanation:
Remember the formula for probability:
\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)
In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.
As for the total outcomes, there are 5 of them, because we have 5 numbers total.
So the probability of choosing an even number is 2/5.
A right triangle has one 28° and one 90°. What is the measurement of the third angle?
Answer:
The third measurement is 62°
Step-by-step explanation:
Hey there! Please take a look at the explanation for clear understanding to the answer and also let me know in comment if you have any doubts!
Euclidean TriangleThe theorem regarding it states that, sum of all 3 interior angles must equal to 180°.
That means, we will have this equation:
\(\displaystyle \large{28^{\circ} + 90^{\circ} + x=180^{\circ}}\) because we know two interior angles and one missing angle - sum of them equals to 180 degrees.
Then we solve for x-term to find the third measurement!
\(\displaystyle \large{118^{\circ}+x=180^{\circ}}\)
Subtract both sides by 118 degrees.
\(\displaystyle \large{118^{\circ}-118^{\circ}+x=180^{\circ}-118^{\circ}}\\\\\displaystyle \large{x=62^{\circ}}\)
Henceforth, the third measurement is 62°
What is the meaning of "the notion of finiteness"?
The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.
In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.
In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.
This concept is essential to the development of computer programs that are efficient, reliable, and secure.
In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.
In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.
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How tall is the tree?
5ft
35°
-20ft-
[?]ft
Round to the nearest foot.
Answer:
19
Step-by-step explanation:
tan35=x/20
20tan35=x
x=14.0041507641942
x+5=19.0041507641942
The nearest foot is 19
how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.