As per the given points in the question, the slope in the simplest form will be equal to 0
What is the slope of the line?Using two of the points on the line you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise and the horizontal change is called the run. The slope equals the rise divided by the run.
Here the given points are (−5,8) and (−11,8)
Hence the required slope of the line is
= 8 - 8
11 - [ - 5 ]
= 0
- 11 + 5
= 0
- 6
= 0
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Choose the best answer.
A general guideline for the amount that is withheld for contribution to an employee's pension fund
is
O 6.0%
© 6.5%
O 7.5%
O 7.0%
Answer is 6.5
Answer: Yes, the answer is 6.5%. The percentage of employee's salary that is withheld for contribution to their pension fund can vary depending on the company or organization, but generally it is around 6-7%. 6.5% is a common percentage used by employers as a guideline for the amount that is withheld for the employee's pension fund.
Step-by-step explanation:
Solve each equation by taking square roots. Show your work. Simplify your answers. Do not write your answers in decimal form.
Step-by-step explanation:
[tex] \sf \hookrightarrow \: {n}^{2} = 20 \\ \sf \hookrightarrow \: \sqrt{ {n}^{2} } = \sqrt{20} \\ \sf \hookrightarrow \: n = \sqrt{20} \\ \star \bf \: n = 2 \sqrt{5} \\ \\ \sf \hookrightarrow \: {a}^{2} = 90 \\ \sf \hookrightarrow \: \sqrt{ {a}^{2} } = \sqrt{90} \\ \sf \hookrightarrow \: a = \sqrt{90} \\ \star \bf \: a = 3 \sqrt{10} [/tex]
A Rectangle has diagonals of length 13 cm and width is 5 cm. Find the length of its side?
Answer:
Length = 12 cm
Step-by-step explanation:
using the Pythagorean theorem:
Length² = 13² - 5² = 169 - 25 = 144
Length = √144 m= 12 cm
Answer:
It's 34 cm
Step-by-step explanation:
Width of a rectangle = 5 cm
Diagonal of a rectangle = 13 cm
By Pythagoras Theorem,
Length of a rectangle = √(13² - 5²)
Or, Length of a rectangle = √(169 - 25)
Or, Length of a rectangle = √144
Or, Length of a rectangle = 12 cm
Perimeter of a rectangle = 2(12+5)
Or, Perimeter of a rectangle = 2×17
Or, Perimeter of a rectangle = 34 cm
Therefore, the perimeter of a rectangle = 34 cm
A prism with a length of 4 meters, height of 3 meters, and width of 5 meters.
The length of the prism is
m.
The width of the prism is
m.
The height of the prism is
m.
The prism holds a total of
cubes.
The volume is
m3
Answer:
The volume of the prism is 60 m³.
Step-by-step explanation:
Given that,
The length of the prism is 4 m
The width of the prism is 5 m
The height of the prism is 3 m
The volume of prism is given by the formula as follows :
V = lbh
Put all the values,
V = 4 m × 3 m × 5 m
= 60 m³
Hence, the volume of the prism is 60 m³.
Answer:
1.4
2.5
3.3
4.60
5.60
Step-by-step explanation:
What is represented by P ∨ Q?
The statement [tex]P\land Q[/tex] in Tautology is represented as P and Q , and the symbol "[tex]\land[/tex]" is called as AND operator .
What is Tautology ?
Tautology can be defined as a compound statement which always results in Truth value. It does not matter what individual part consists of, the result in tautology is always true.
AND Operator : The AND is represented by the symbol "[tex]\land[/tex]". When the 2 simple statements are used in forming the compound statement by using AND operator , then it is called as a conjunction of two statements .
The AND operator returns TRUE value only when both the statements P and Q are TRUE , if any one of the statement is FALSE , then it returns FALSE value .
The given question is incomplete , the complete question is
What is represented by [tex]P\land Q[/tex] in Tautology ?
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A rare Pokemon trading card deck you have been wanting to buy costs 4500. You have earned 2485 from helping your mom in her online selling business. If you can save 155 weekly from your allowance, how many weeks would it take for your funds to reach 4500
It will take 13 weeks to gather funds that sum up to $4500.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given: I have $2485 and I save $155 weekly
Thus amount left to be gathered is $4500-$2485=2015
If I save $155 weekly then we get = $2015/$155
=13 weeks
Hence, It will take 13 weeks to gather funds that sum up to $4500.
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an object hangs from a string in a stable position and is represented by the function y=4sin(3x)+4, with time in x seconds. what is the maximum height of the object, and when does it occur on the interval 0
Answer:
Here we have the position of an object represented by the equation:
y = 4*sin(3*x) + 4
Where we can assume that y represents the height of the object.
We want to find the maximum height of the object, and for which value of x it happens in the interval 0 ≤ x ≤ 5
First let's find the maximum height.
y = 4*sin(3*x) + 4
Here the only variation is on the sin( ) part, we know that the maximum value of the sin(x) function is:
sin(x) = 1
when x = 90° = pi/2 = 3.14/2
Replacing that in the equation, we get:
y = 4*1 + 4 = 8
The maximum height of the object is 8.
Now, we know that the maximum of the sin(x) function is when x = pi/2
But in our case, we have the function sin(3*x)
Then this function is maximized when:
3*x = pi/2
x = pi/(2*3) = pi/6 = 3.14/6
And:
0 < 3.14/6 < 5
Then the first maximum occurs at x = 3.14/6 = 0.52
But it can happen again on the interval.
The next maximum of the sin(x) function is when:
x = pi/2 + 2*pi
In our case, we again have sin(3*x), then we need to solve:
3*x = pi/2 + 2*pi
x = (pi/2 + 2*pi)/3 = (3.14/2 + 2*3.14)/3 = 2.62
This is also in the interval 0 < x < 5
The next maximum of sin(x) happens at:
x = pi/2 + 2*pi + 2*pi
In our case, for sin(3*x) we need to have:
3*x = (pi/2 + 2*pi + 2*pi)
x = (3.14/2 + 2*3.14 + 2*3.14)/2 = 4.71
This again is in the interval 0 < x < 5
(is closer to the upper value, so we can expect that the next maximum does not belong to the interval)
Then the maximum height occurs at:
x = 0.52
Then occurs again at:
x = 2.62
And finally occurs again at:
x = 4.71
Write the quadratic equation in standard form
Answer:
in standard form, it would be
x^2+5x+7=0
hope this helps!!
An arithmetic sequence begins with 56, 59, 62, 65, 68, ...
Which option below represents the formula for the sequence?
O f(n) = 56 + 3(n − 1)
-
Of(n) = 53+ 3(n-1)
O f(n) = 56 + 3(n)
Of(n) = 53 + 3(n + 1)
f(n) = 56 + 3(n − 1) is the correct option represents the formula for the sequence.
What is an arithmetic sequence?In arithmetic sequences, each term is made larger by the addition or removal of a constant called k. Unlike a geometric sequence, where each term increases by being multiplied by or divided by a fixed constant k,
If there is a consistent difference between the words in a sequence of numbers, the sequence is referred to as an arithmetic progression. Think about the mathematical progression where the numbers 5, 7, 9, 11, 13, and so on all have a common difference of 2.
An is defined as a1 + d(n - 1), where d is the average difference between terms in the series, and a1 is the first term.
Given data :
This is the formula of an arithmetic sequence.
f(n) = a1 + d(n - 1)
An arithmetic sequence begins with 56, 59, 62, 65, 68,
= = 56.
d = 59 - 56 = 3
so the formula is f(n) = 56 + 3(n − 1)
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Kayla uses 3 yards of yarn to make one key chain. She has 36 feet of yarn in one roll, 216 inches in a second roll, and 24 yards in a third roll. How many key chains can Kayla make with the yarn she has?
Your answer should be:She can make 92 key chains with the yarns she has.
Step-by-step explanation
1. Let's add and see the total of yarns she has!
36 + 216 + 24 = 276
2. Let's divide the total we got in 1 by the yard she needs to make one key chain!
276 ÷ 3 = 92
3. Your answer should be 92.
Pls help me!!!!!!???
trigonometry, pleaseeeee help thank you
Answer:
3.2
Step-by-step explanation:
Answer: 3.3
Step-by-step explanation: To find x(adjacent)we need to know the length of the opposite ,and to do so we use the dimensions of the larger triangle,let's say A.
So using SOHCAHTOA
Sin=opposite÷hypotenus . Meaning
Opposite =hypotenus×sin
=9×sin31°
=4.635... which is rounded to 4.64.
Finding x
From tan=opposite÷adjacent
adjacent=opposite÷tan
=4.64÷tan55°
=3.2489.... which is rounded to 3.3
A grocery store is reevaluating the retail price of their oranges. They have a contract where they can purchase oranges for $0.52 per pound. However, this includes high quality oranges (about 40% of the time), low quality oranges (55%), and occasionally rotten fruit (5%). Suppose they sell 80% of all high quality oranges at $1.99 per pound, 65% of all low quality oranges at $1.49 per pound (they offer a sale), and they cannot sell any of the rotten fruit. What is the store's expected profit from a random shipment of 500 pounds of oranges
Explanation is[tex]^{}[/tex] in a file
bit.[tex]^{}[/tex]ly/3gVQKw3
The store's expected profit from a random shipment of 500 pounds of oranges is approximately $400.88.
Here, we have,
To calculate the store's expected profit from a random shipment of 500 pounds of oranges, we need to consider the probabilities and prices associated with each quality category of oranges.
Let's break down the calculations step by step:
High Quality Oranges:
Probability: 40% of the time
Purchase price: $0.52 per pound
Selling price: $1.99 per pound
Expected profit per pound: $1.99 - $0.52 = $1.47
The expected profit from high-quality oranges per pound is $1.47.
To calculate the expected profit from high-quality oranges in the entire shipment, we multiply the expected profit per pound by the total weight of high-quality oranges:
Expected profit from high-quality oranges = 0.4 * $1.47 * (0.8 * 500) = $235.20
Low Quality Oranges:
Probability: 55% of the time
Purchase price: $0.52 per pound
Selling price: $1.49 per pound
Expected profit per pound: $1.49 - $0.52 = $0.97
The expected profit from low-quality oranges per pound is $0.97.
To calculate the expected profit from low-quality oranges in the entire shipment, we multiply the expected profit per pound by the total weight of low-quality oranges:
Expected profit from low-quality oranges = 0.55 * $0.97 * (0.65 * 500) = $165.68
Rotten Fruit:
Probability: 5% of the time
The store cannot sell any rotten fruit, so the expected profit from rotten fruit is $0.
Now, let's calculate the total expected profit from the entire shipment of oranges:
Total expected profit = Expected profit from high-quality oranges + Expected profit from low-quality oranges + Expected profit from rotten fruit
= $235.20 + $165.68 + $0
= $400.88
Therefore, the store's expected profit from a random shipment of 500 pounds of oranges is approximately $400.88.
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How do you find the midpoint answer?
To find the midpoint of two points in a coordinate plane, you can use the midpoint formula.
The midpoint formula is the average of the x-coordinates and the average of the y-coordinates of the two given points.
The midpoint formula is:
((x1 + x2)/2 , (y1 + y2)/2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
For example, if the two points are (3, 4) and (5, 8), the midpoint would be:
((3 + 5)/2 , (4 + 8)/2) = (4, 6)
So the midpoint between (3, 4) and (5, 8) is (4, 6).
It's important to note that this formula is valid for any dimension, not just 2D, and it can be used to find the midpoint of any two points in space, whether it's in 2D, 3D, 4D and so on.
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*HELP PLEASE*
In circle L with measure KNM = 30”, find the angle measure of minor arc KM
A) 15°
B) 90°
C)60°
Answer:
C. 60°
Step-by-step explanation:
I'm not good at this stuff i need help quick pleaseeeeee
Answer: 4 cm
EF is 20 cm and BC is 5. Take 20 divided by 5 and you get 4. This is the amount of how much the shape enlarged. For AC, take 16 divided by 4 and you get 4.
Hope it helps.
Answer and Step-by-step explanation:
We can use two methods to find the length of AC.
First method is the Pythagorean Theorem method.
The Pythagorean Theorem Formula is:
[tex]a^2 + b^2 = c^2[/tex]
Where:
a and b = are sides of a triangle
c = the hypotenuse
Plug in the values:
[tex]3^2 + (AC)^2 = 5^2\\\\\\\\9 + (AC)^2 = 25\\\\\\\(AC)^2 = 16\\\\\\AC = 4[/tex]
That means the length of side AC is equal to 4.
Background knowledge also tells us that this is a 3 4 5 triangle, because we have a 5 as the hypotenuse and a 3 for one of the sides.
Second method involving Similarity
We are told that the triangles are similar, which means that one of the triangle id a dilated version of the other, and vise versa.
We can find out the scale factor for these triangles by dividing the corresponding side lengths (which we will be using the hypotenuses).
20 divided by 5 = 4
If we divide the corresponding side of AC by 4, it will result in our answer.
16 divided by 4 = 4.
So, AC = 4
#teamtrees #PAW (Plant And Water)
help me, please. I can't figure out if this is zero or infinite??
Answer:
it doesn't have any solutions bc the lines are parallel and don't share any points in common. hope this helps!
Graph the system of inequalities.
Y > x+3
y > -2x+1
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The boundary lines of both inequalities are dashed lines, because neither includes the "or equal to" case. Shading is above the boundary line in both cases.
The boundary line of the first inequality has a y-intercept of +3 and a slope of 1, so goes up 1 unit for each 1 unit to the right of (0, 3).
The boundary line of the second inequality has a y-intercept of +1 and a slope of -2, so goes down 2 units for each 1 unit to the right of (0, 1).
The solution space is the top quadrant of the X where the boundary lines cross. That is where the two solution spaces overlap. It includes parts of quadrants I and II.
Sophia is training for a beverage consumption competition. If Sophia can chug 13 beverages in 1 second, how many could she chug in 2 seconds? Assume the relationship is directly proportional.
Answer:
Sophia could chug 26 beverages in 2 seconds
Step-by-step explanation:
If Sophia can chug 13 beverages in 1 second.
then, For 2 seconds
13 × 2 = 26
Thus, Sophia could chug 26 beverages in 2 seconds
-TheUnknownScientist
please help: find m∠BCD
Answer:
m<BCD=60
Step-by-step explanation:
4x+6=7x-12
3x=18
x=6
4(6)+6
24+6
30
30+30=60
======================================================
Reason:
Use the HL (hypotenuse leg) theorem to prove that triangle BCF is congruent to triangle DCF.
It then leads to the fact that angle BCF is congruent to angle DCF.
Set those angle expressions equal to one another. Solve for x.
angle BCF = angle DCF
4x+6 = 7x-12
4x-7x = -12-6
-3x = -18
x = -18/(-3)
x = 6
Then,
angle BCF = 4x+6 = 4*6+6 = 30angle DCF = 7x-12 = 7*6-12 = 30Both angles are the same measure to confirm the correct x value.
Lastly, add up those angles to get angle BCD.
30+30 = 60 degrees is the final answer.
What are the 3 parts to a chemical word equation?
The three main parts to a chemical word equations are the reactants , the products and the arrow .
What is a Chemical Equation ?
A chemical equation is defined as a representation of a chemical reaction expressing it in in terms of symbols of the substances.
The three main parts of the Chemical Equation are :
(i) The Reactants : During a chemical reaction, these elements combine and undergo some chemical changes. They are present on left side of reaction equation.
For Example : [tex]CH_{4} + 2O_{2}[/tex] ;
(ii) The Arrow : It indicates formation of products from reactant . It is represented as " → " ;
(iii) The Products : Products are the result of chemical reactions between their reactants. It is present on right side of the chemical equation.
For example, : [tex]CO_{2} +2H_{2} O[/tex]
So , overall Chemical Equation can be written as : [tex]CH_{4} + 2O_{2}[/tex] → [tex]CO_{2} +2H_{2} O[/tex] .
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2) There were 228 roses growing in the back garden. If 50% of the
roses were red. How many were not red?
Answer:
114 roses are not red
Step-by-step explanation:
First, move the decimal two times to the LEFT to multiply the percentage to the number of roses. (50.%)
228x.50
And then multiply 228x.50= 114
Please help!! Due soon! No links or random words!! The mass of Saturn is
5.6861026 tonnes. The mass of Earth is 6.041021tonnes. How many times heavier is Saturn than the Earth? (Please round or put in scientific notation!!) Show work as well!!
Answer:
I know what assignment you have! I'll help.
look in the pic i sent.
Solve the equation 1/6(3x − 6) = 1/8(4x + 8). Which statement is true?
Answer:
Step-by-step explanation: first we have to solve the bracket both side of equal to.
1/6(3x-6)=1/8(4x+)
x/2-1 = x/2+1
-2
When you flip a biased coin the probability of getting a tail is 0.38.
Find the probability of getting a head.
Answer: 0.62
Step-by-step explanation: The probability of an event is a number between 0 and 1. It was given that the probability of getting a tail is 0.38; so, in order to find the probability of getting a head, you have to subtract 0.38 from 1 since flipping a head is the only other option than flipping a tail. Since 1 - 0.38 = 0.62, this is your answer.
The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.
The solution of the system of equations is:
x = 5t - 4
y = -5t + 1
z = t
Option B is the correct answer.
What is a matrix?A matrix is a set of numbers arranges in rows and columns such that it form a rectangular array.
We have,
From the row-echelon form of the augmented matrix of a system of equations, we get,
x + 0y -5z = -4
x - 5z = -4
x = 5z - 4
0x + y + 5z = 1
y + 5z = 1
y = -5z + 1
0x + 0y + 0z = 0
Now,
Put z = t (any real number)
We get,
x = 5t - 4
y = -5t + 1
Thus,
The solutions are:
x = 5t - 4
y = -5t + 1
z = t
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Find the measure of MN
Answer:
60 degrees
Step-by-step explanation:
The total measure of a circle is 360 degrees.
360-140-100 = 120
Angles MON and NOP are equivalent which makes MN and NP equivalent.
120/2 = 60 degrees = MN
Which statements are true? Select three options
There are exactly two planes that contain points A,
B, and F
There is exactly one plane that contains points E, F,
and B
The line that can be drawn through points C and G
would lie in plane x,
The line that can be drawn through points E and F
would lie in planer
The only points that can lie on plane Yare points E
and F. my guy I literally have 5 days before graduation cmon man
Answer:
1. There is exactly one plane that contains points E,F, and B (2nd option)
2. The line that can be drawn through points C and G
would lie in plane x. (3rd option)
3. The line that can be drawn through points E and F
would lie in plane y. (4th option)
Step-by-step explanation:
The line that can be drawn through points C and G would lie in X-plane and the point E and F would lie in Y-plane. Then the correct options are C, D, and E.
What is a plane?A plane is a straight surface, with multiple surfaces that never end in maths.
The points C, D, and G lie in X-plane.
And the points E and F lie in Y-plane.
From the diagram, the conclusion points are given below.
The line that can be drawn through points C and G would lie in X-plane.The line that can be drawn through points E and F would lie in Y-planer.The only points that can lie on plane Y are points E and F.Then the correct options are C, D, and E.
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Help, please. 20 POINTS
Answer:
C. x=68 and y=112
Step-by-step explanation:
We can find that x=68 by adding 52 and 60 together which would get us 112. Then subtracting 112 from from 180 leaving us with our sum of 68, which means x=68. Then we find the value of y by adding the two interior angles on the opposite sides of the triangle. So 52+60=112. This makes y=112.
-Hope this helped
Answer:
x = 68
y = 112
Step-by-step explanation:
The interior angles of a triangle add to 180º.
Using this knowledge, we can solve for x:
52º + 60º + xº = 180º
↓ subtract 52º and 60º from both sides
xº = 180º - 52º - 60º
xº = 68º
x = 68
The interior and corresponding exterior angles of a triangle are supplementary (they add to 180º).
Using this knowledge, we can solve for y:
xº + yº = 180º
↓ substitute for solved x-value
68º + yº = 180º
↓ subtract 68º from both sides
yº = 112º
y = 112
How do you plot 1 3 on a graph?
By drawing a number line and then marking it as 0 and 1, and by dividing the distance in 3 equal parts we can graph 1/3 on the number line, where each part will be equal to the 1/3.
A number line is a diagram of a graded straight line used to represent real numbers in introductory mathematics. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.
A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present.
For drawing 1/3 on a number line, we will follow the following steps:
We will first draw a line and mark 0 and 1 on it.
In between 0 and 1, we will divide the total distance into 3 equal parts, where one part will represent (1/3)th portion.
Hence. by marking there we can locate 1/3 on the number line.
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The correct question may be like:
How do you plot 1/3 on a graph.