Answer:
x3+y3+z3
Step-by-step explanation:
A farmer has 100 m of fencing to enclose a rectangular pen. Which quadratic equation gives the area (A) of the pen, given its width (w)?A(w) = w2 – 50wA(w) = w2 – 100wA(w) = 50w – w2A(w) = 100w – w2
The area of the rectangular pen is represented by the quadratic equation \(A(w) = 50w - w^{2}\).
Let w be the width of rectangular pen.
We have been given that a farmer has 100 m of fencing to enclose a rectangular pen. This means that perimeter of pen is 100 meter.
Since the perimeter is 2 times the length and width of rectangle.
Perimeter of a rectangle = 2 (Width + Length)
Upon substituting our given values in above formula we will get,
\(100 = 2(w + length)\\50 = w + length\\50-w = Length\)
Area of a rectangle = Width x Length
\(Area of a rectangle = w (50-w)\\= 50w - w^{2}\)
Let us represent area in terms of width of rectangle as:
\(A(w) = 50w - w^{2}\)
Therefore, the area of the rectangular pen is represented by the quadratic equation \(A(w) = 50w - w^{2}\).
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find the expected value of the proposition.round your answer to two decimal places. losses must be expressed as negative values.
To find the expected value of the question, we need to find the probability of having a card with a value less or equal to 5, and the probabilities greater than 5. We are told that the aces are considered the highest card in the deck. So, this card is not part of the group less or equal to 5.
Then, we have in a standard deck of cards 52 cards.
• Those cards that are equal or less than 5 are 16 cards.
,• Those cards that are greater than 5 are 36 cards.
The probability of having a card equal to or less than 5 is equal to:
\(P(C\leq5)=\frac{16}{52}\)The probability of having a card greater than 5 is equal to:
\(P(C>5)=\frac{36}{52}\)When we pay someone, we have a "loss" in a game. Then, if we pay $22, we need to write this value as -$22.
Therefore, the expected value of the proposition is as follows:
\(E(V)=\frac{16}{52}\cdot39-\frac{36}{52}\cdot22=-3.23076923077\)If we round the result to two decimal places, we have that the expected value is equal to E(V) = $ -3.23.
Complete the table of values for f(x) = -3|x+1|-4 using the table of values for g(x) = |x|
f(x)>=-7
Functions:
Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics.
If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of f(x)is determined, then f(x) is said to be a function of the independent variable x
Given :
f(x) = -3|x+1|-4
using the table of values for g(x) = |x|
Solution :
f(x) = -3|x+1|-4
f(x) = -3|g(x)+1|-4
f(x) = -3||x|+1|-4
which means |x| is always positive |x|>0
f(x) = -3||x|+1|-4
f(x) = -3x-3-4
f(x) = -3x-7
f(x)>=-7
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what types of numbers are used for different generations in a pedigree?
Answer:
Roman numerals
Step-by-step explanation:
In a pedigree, Roman numerals are used to represent different generations, while Arabic numerals are used to represent individuals within each generation. For example, the first generation would be represented by Roman numeral I, the second generation by Roman numeral II, and so on. Within each generation, individuals are numbered sequentially using Arabic numerals, starting with 1 for the first individual in the generation.
The diagram below shows the dimensions of Mrs. Patterson’s new swimming pool. A cover is needed for the pool, what will be the approximate area of the cover?
The length of the pool is 8 metres and the width is 6 metres, thus the area of the pool is given by: Area = Length \times Width = 8 \times 6 = 48. To calculate the approximate area of the cover, you will need to consider the shape of the cover needed.
If we assume that the cover is a rectangular sheet that is laid over the pool, then the area of the cover would be the same as the area of the pool. However, if the cover is shaped to fit the contours of the pool, then the area of the cover would be greater than the area of the pool.In order to determine the area of the cover, we would need more information about the shape of the cover. If we assume that the cover is a rectangular sheet that is laid over the pool, then the approximate area of the cover would be 48 m².
Mrs. Patterson’s new swimming pool has dimensions of 8 metres length and 6 metres width. The area of the pool can be found by multiplying its length and width which are 8 and 6 respectively. Thus, the area of the pool is given by: Area = Length \times Width = 8 \times 6 = 48. To find the approximate area of the cover, we need more information about the shape of the cover. If we assume that the cover is a rectangular sheet that is laid over the pool, then the area of the cover would be the same as the area of the pool. However, if the cover is shaped to fit the contours of the pool, then the area of the cover would be greater than the area of the pool. Therefore, the approximate area of the cover would be 48 m². This is assuming that the cover is a rectangular sheet that is laid over the pool. If the cover is shaped to fit the contours of the pool, then the area of the cover would be greater than 48 m².
The approximate area of the cover for Mrs. Patterson's new swimming pool would be 48 m² assuming that the cover is a rectangular sheet that is laid over the pool. However, if the cover is shaped to fit the contours of the pool, then the area of the cover would be greater than 48 m².
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Solve x² + 8x - 3= 0 using the completing-the-square method.
A.x=4+√3
B.x= -4+√3
C.x=4+√19
D.x=-4+√19
By using the completing the square method, the value of the equation x² + 8x - 3 = 0 is x = -4 + √19
Completing the square method
Completing the square refers the method that is used for converting a quadratic expression of the form ax² + bx + c to the vertex form a(x - h)² + k where h and k refers the constants.
Given,
Here we have the expression x² + 8x - 3= 0
Now, we have to use the completing the square method to solve this one.
While we looking through the given equation,
=> x² + 8x - 3= 0
The coefficient of the x is 8, so now we divide this by 2 :
=> 8 ÷ 2 = 4
and then we square it,
=> (4)² = 16.
So we add and subtract 16 on the equation, then we get,
=> x² + 8x + 16 - 16 - 3
=> x² + 8x + 16 - 19
We know that, x² + 8x + 16 = (x + 4)², then the given equation is written as,
=> (x + 4)² - 19 = 0
=> (x + 4)² = 19
=> x + 4 = √19
=> x = -4 + √19
Therefore, the value of x is -4 + √19.
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Help please! I really suck at math!
Answer: 2.4
Step-by-step explanation:
S = (3-2) • 180
S = 1 • 180
S = 180
47 + 28 + X = 180
75x = 180
X = 2.4
Rounded = 2
For conservative forces, force can be fouind as being the negative of the deriviation of?
For conservative forces, force can be fouind as being the negative of the deriviation of potential energy.
What is a conservative force?It should be noted that a conservative force simply means the force in moving a particle from a particular point to another. In this case, the force is independent of the path that's taken by the particle.
It should be noted that F = du/dr as u is the potential energy. Therefore, force is the negative derivative of the potential energy.
Therefore, for conservative forces, force can be fouind as being the negative of the deriviation of potential energy.
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Complete question
For conservative forces, force can be fouind as being the negative of the deriviation of?
momentum
kinetic energy
impulse
work
potential energy
Please help! no bots!
4:A
5:c,b
3:d
i hope this helps you have a great day
Here is a picture that shows one side of a child's wooden block with a semicircle cut out at the bottom.
The face of an arch-shaped block. The horizontal side of the block is labeled 9 centimeters and the vertical side of the block is labeled 4.5 centimeters. A semi circle with diameter labeled 5 centimeters is removed from the block.
Find the area of the side.
Find \(\sf \dfrac{dy}{dx}\)
\(\sf y=\dfrac{x}{sin^nx}\)
n is an integer .
Note:-
Solve with proper explanation ,
Pls don't answer if you are not sure
Spams, irrelevant, wrong answers will be deleted.
Hey there mate!
Please check the attached answer of picture for explanation.
\(Have \: a \: great \: day! \: :)\)
Answer:
\(\sf \dfrac{dy}{dx} =\sf \bold{ -nx\cot \left(x\right)\csc ^n\left(x\right) + \csc ^n\left(x\right)}\)
solve:
\(\sf y = \dfrac{d}{dx}\left(\dfrac{x}{sin^nx}\right)\)
\(\hookrightarrow \sf \bold{ \sf \dfrac{dy}{dx} =\sf \dfrac{d}{dx}\left(\dfrac{x}{sin^nx}\right)}\)
// apply rule: \(\sf \dfrac{1}{sinx} = csc(x)\) //
\(\hookrightarrow \sf \bold{ \sf \dfrac{dy}{dx} =\sf \dfrac{d}{dx}\left(x\csc ^n\left(x\right)\right)}\)
// apply product rule: \(\sf xsinx = x * \frac{d}{dx} (sinx) + sin(x) *\frac{d}{dx} (x)\) //
\(\hookrightarrow \sf \bold{\sf x *\frac{d}{dx} (csc^n (x))+ csc^n (x) * \dfrac{d}{dx} (x)}\)
Lets look into deeper differentiation separately:
\(\sf we \ must \ know \ that \ \dfrac{d}{dx} (x)} = 1\)
now, for \(\sf \frac{d}{dx} (csc^n (x))\) - apply chain rule
\(\rightarrow \sf n\left(\csc \left(x\right)\right)^{n-1}\dfrac{d}{dx}\left(\csc \left(x\right)\right)\)
\(\sf \bold \ * we \ must \ know \ that \ \dfrac{d}{dx} (csc(x)) = -cot(x) csc(x)\)
\(\sf \rightarrow n\left(\csc \left(x\right)\right)^{n-1}\left(-\cot \left(x\right)\csc \left(x\right)\right)\)
\(\rightarrow \sf -n\cot \left(x\right)\csc ^{n-1+1}\left(x\right)\)
\(\rightarrow \sf -n\cot \left(x\right)\csc ^n\left(x\right)\)
Now finish:
\(\hookrightarrow \sf x * -n\cot \left(x\right)\csc ^n\left(x\right) + \csc ^n\left(x\right) *1\)
\(\hookrightarrow \sf \bold{ -nx\cot \left(x\right)\csc ^n\left(x\right) + \csc ^n\left(x\right)}\)
-15/5 on a number line
Answer:
-3
Step-by-step explanation:
-15/5 is equivalent to -3, so wherever on your number line "-3" is, circle that
Question 3 of 23
Which graph below shows the solutions for the linear inequality y≤¹x-3?
OA. Graph D
B. Graph B
C. Graph C
D. Graph A
Graph D (A) is the correct graph that shows the solutions for the linear inequality y≤¹x-3.
What is linear inequality?A linear inequality is an equation that contains a variable, such as x, and is written in the form ax + b < c, where a, b, and c are constants. Linear inequalities are used to describe a range of values that satisfy a given condition. They are used in many areas of mathematics, including graphing, solving equations, and finding the maximum or minimum of a function. Linear inequalities are also used in economics, engineering, and other sciences.
This can be seen by the fact that the graph is a straight line going from the bottom left to the top right, and the line is below the x-axis at the point (3, 0). This means that all points on the line or below it are part of the solution set. The other graphs, B, C and D, are not accurate solutions for the linear inequality.
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Assume we have two events, A and B, that are mutually exclusive. Assume further we know P(A) = .30 and P(B) = .40.
What is P(A ⋂ B)?
What is P(A | B)?
Since A and B are mutually exclusive, the probability of A occurring given that B has already occurred is 0. This means that P(A | B) = 0.
P(A ∩ B) = 0, since the events are mutually exclusive.
P(A | B) = 0, since the probability of A given B is 0 when A and B are mutually exclusive.
Since A and B are mutually exclusive, they cannot both occur at the same time. This means that the probability of them both happening at the same time is 0. As a result, P(A ∩ B) = 0.
Since A and B are mutually exclusive, the probability of A occurring given that B has already occurred is 0. This means that P(A | B) = 0.
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find the volume also question below answer either ABC or D?
We will have the following:
We can see that the object is composed by a half-sphere and a cone, so the volume will be given by:
\(V=\frac{2}{3}\pi r^3+\pi r^2\frac{h}{3}\)So:
\(\begin{gathered} V=\frac{2}{3}\pi(3m)^3+\pi(3m)^2(5m)\Rightarrow V=63\pi \\ \\ \Rightarrow V\approx103.62m^3 \end{gathered}\)So, the volume of the object is approximately 103.62 m^3.
Someone please help :0
Answer:
m < -18/19
Step-by-step explanation:
8m + 95 < -87 m +5
Add 87m to each side
8m+87m + 95 < -87 m+87m +5
95m + 95 < 5
Subtract 95 from each side
95m + 95-95 < 5-95
95m < -90
Divide each side by 95
95m/95 < -90/95
m < -18/19
Answer:
Step-by-step explanation:
8m +95 < -87m +5
8m +87m < 5-95
95m < -90
m < -90/95
m < -18/ 19
Thank you to who ever answers this question. Have a good rest of your day!
Answer:
Step-by-step explanation:
Answer: HI! I believe that the answer would be this symbol (I put it below)
>
Step-by-step explanation:
So sorry if this is wrong
Henry’s car used 4 gallons to travel 88 miles. How far can he travel on 10 gallons
Answer:220 miles
Step-by-step explanation: 88 divided by 4 is 22 then 22 multiplied by 10 is 220
there are five boys to every six girls in an introductory geology course. if there are 374 students enrolled in the course, how many are boys?
The total number of boys enrolled in the course is 170.
Here are 374 children, are there are 5 boys to every 6 girls.
If the ratio of boys to girls is 5 to 6, then 5 out of every 11 students are boys and 6 out of every 11 students are girls.
Set up a proportion for the boys, where b = the total number of boys.
5/11 = b/374
11b = 1870
b = 1870/11
b = 170
There are 170 boys.
The total number of student is 374, so the number of girls, is 374 -b.
There are 374-170= 204 girls.
Finding a proportionality constant would be another algebraic solution to this issue. The total number indicated by the ratio is 5 + 6 or 11, which is equal to the total number of children when multiplied by the proportionality constant.
Let x = the proportionality constant
11x=374
x=34
The number of boys is 5x and the number of girls is 6x.
5x=5×34 =170 boys
6x=6×34 =204 girls.
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A sticker costs 25 cents. How many dollars is that?
Answer:
Boy.... Its one forth a dollar.
Step-by-step explanation:
1/4
How do I do the work?
how to determine if a binomial is a factor of a polynomial
A binomial is a factor of a polynomial has been determined by using the
polynomial division method.
To determine if a binomial is a factor of a polynomial, you can use the polynomial division method. The basic idea is to divide the polynomial by the binomial and check if the remainder is zero. If the remainder is zero, then the binomial is a factor of the polynomial. Here's the step-by-step process:
Write the polynomial and the binomial in standard form, with the terms arranged in descending order of their exponents.
Perform the long division of the polynomial by the binomial, similar to how you would divide numbers. Start by dividing the highest degree term of the polynomial by the highest degree term of the binomial.
Multiply the binomial by the quotient obtained from the division and subtract the result from the polynomial.
Repeat the division process with the new polynomial obtained from the subtraction step.
Continue dividing until you reach a point where the degree of the polynomial is lower than the degree of the binomial.
If the remainder is zero, then the binomial is a factor of the polynomial. If the remainder is non-zero, then the binomial is not a factor.
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0x1=?
a.2
b.1
c.0
d.5
If good explanation i will give brainlist i am boredddddd!!
describe what type of sampling approach you would implement to determine the rate of smoking among teenagers.
I would implement a random sampling approach to determine the rate of smoking among teenagers.
Simple random sampling is a form of probability sampling in which a selection of participants is chosen at random from a population. Each person in the population has an equal probability of getting chosen. The data is then collected from as big a percentage of this random selection as feasible.
The Simple Random Sampling method is a dependable way of gathering information in which every member of a population is picked at random, purely by chance.
Random sampling guarantees that the findings received from your sample are close to those obtained if the full population was surveyed. The simplest random sample gives each unit in the population an equal probability of being chosen.
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help pls 9 through 11
Step-by-step explanation:
the coordinate for P is (-3,6)
When you use your debit card to get cash you have: A:Deposited money in your checking account. B:Withdrawn money from your checking account. C:Added to your checking balance. D:Reconciled your checking account.
Answer:
B.
Step-by-step explanation:
When you use your debit card, you are purchasing something and using money. Therefore, you are withdrawing money from your account to pay for an item.
given that the vertex is (8,6) and the y intercept is -12, what is the x-coordinate of the other point that has a y value of -12?
x-coordinate of the other point on the line that has a y value of -12 is 0
Define slopeThe slope of a line in mathematics serves as a gauge for how steep it is. It is described as the proportion of the y-coordinate change to the x-coordinate change between any two locations on a line. A line's slope can be either positive, negative, zero, or undefinable.
Given
vertex=(8,6)
intercept=-12
To find: x-coordinate of the other point that has a y value of -12
Equation of line
y=mx+c
Putting the values, we get
6=8m-12
m=18/8
m=9/4
Now, finding the x coordinate
y=mx+c
-12=9/4x-12
x=0
Hence, x-coordinate of the other point that has a y value of -12 is 0.
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Please classify the following equations as parallel, perpendicular, intersecting, or coinciding (same line):
y = 3x + 2
9x - 3y = -6
Answer:
Intersecting
Step-by-step explanation:
Parallel lines means it will have the same slope, and perpendicular means the slope will be it's reciprocal, so the slope would be 1/3 x instead of 9x. Conciding means it's the exact same equation, so the answer has to be intersecting.
I need some help y'all hmu
Robert climbed 125 steps in five minutes at this rate how many steps did he average per minute
The solution is 62. We have to multiply the mixed number by the whole number. 12 1/2 is 25/2 so we now multiply by flipping the 25/2 to 2/25 and when you multiply you get 1550/25, which is 62