Answer - 12%
6/50 = 12/100
Use the slope formula to find the slope
The slope of line: 1. m= 6 , 2. m= -6 , 3. m= 2.5, 4. m= .5
The slope of the line :
In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.
The net change in the y-coordinate is represented by Δy and the net change in the x-coordinate is represented by Δx.
Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,
m = change in y/change in x = Δy/Δx
Where “m” is the slope of a line.
Tan θ = Δy/Δx can also represent the slope of the line
So, tan θ to be the slope of a line.
Generally, the slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The letter ‘ m’ usually represents the slope.
If P(x1,y1) and Q(x2,y2) are the two points on a straight line, then the slope formula is given by:
Slope,
m = Change in y-coordinates/Change in x-coordinates
m = (y2 – y1)/(x2 – x1)
Therefore, based on the above formula, we can easily calculate the slope of a line between two points.
In other terms, the slope of a line between two points is also said to be the rise of the line from one point to another (along the y-axis) over the run (along the x-axis). Therefore,
Slope, m = Rise/Run
1.
(-1,-1) & (0,5)
m = (y2 – y1)/(x2 – x1)
m = (5 – (-1)) /(0– (-1))
m = (5 +1)/(0 +1)
m = (6)/(1)
m = 6
2.
(3,5) & (4,-1)
m = (-1 – 5)/(4 – 3)
m = (-6)/(1)
m = -6
3.
(2,1) & (4,6)
m = (6 – 1)/(4 – 2)
m = (5)/(2)
m = 2.5
4.
(-5,-2) & (3,2)
m = (2 – (-2))/(3 – (-5))
m = (2 +2/(3 +5)
m = (4)/(8)
m = (2/(4)
m = (1)/(2)
m = 0.5
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x to the power of 2 - x + 6
X²-X+6
X²-X¹:there's a invisible ¹ on the variable/XX+6
6Xhelp pls and tysm ;0
Answer:
At least 20
Hope this helps :)
Step-by-step explanation:
85 ÷ 3.5 = 24.2857142857
24.2857142857 is approximately rounded to 20.
So she need at least 20 pieces of ribbon (which means greater than or equal to 20 pieces).
Which lines are parallel if the m<2 = m<6? Lines r & s or lines l & m
(Click document to see image)
In the given picture with 4 lines l, m and r, s. The l and m, r and s line are parallel lines.
Given that,
There is a picture with 4 lines l, m and r, s.
We have to check that those lines are parallel or not
To check that the line are parallel we have a condition.
If two lines are cut by the transversal and corresponding angles are congruent then we can say that those 2 lines are parallel.
In the figure we can see that ∠2 and∠6 are congruent.
So, we can say that lines r and s are parallel lines.
Similarly,
In the figure we can see that ∠1 and∠7 are congruent.
So, we can say that lines l and m are parallel lines.
Therefore, the l and m, r and s line are parallel lines.
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What is the BEST first step for calculating the LCM of 15 and 20
Step-by-step explanation:
The commonly used methods to find the LCM of 15 and 20 are:
1) Division Method
2) Prime Factorization Method
3)Listing Multiples
write the expression (-10) . (-10) . 3 . 3 .3 .3 .3 using exponents
Explain your thinking please
The exponential form is a way of writing numbers using bases and powers. (-10)^2*3^5 is the expression in exponent form for expression (-10) . (-10) . 3 . 3 .3 .3 .3 .
What is Exponential form?The exponential form is a way of writing numbers using bases and powers.
Given expression is (-10) . (-10) . 3 . 3 .3 .3 .3, we need to write in exponent form.
An exponential function is defined by the formula f(x) = a^x, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.
(-10) is 2 times and 3 is five times,
we can write in the form (-10)^2.(3)^5
Therefore the required answer is (-10)^2.(3)^5 for expression (-10) . (-10) . 3 . 3 .3 .3 .3 .
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Your weight on the Moon is about 1/6 of your weight on Earth. Write and solve an equation to show how much a person weighs on Earth if he weighs 16 pounds on the moon. How could you check that your answer is reasonable??
Answer:
1/6(x) = 16
Step-by-step explanation:
You can just solve for x which goes as follows:
6 * 1/6 = 6 * 16 - Multiply both sides by 6.
x = 96
Answer:
x=96
Step-by-step explanation:
To figure out the weight of the person on the moon we would need to take their weight and divide by 6. we don't know the weight so it's x. We know the final weight so the x divided by 6 should be 16.
this translates to:
x/6=16
x=16*6
x=96
Find the midpoint of the line segment with the endpoints A and B.
A(10,4); B(8,2)
The midpoint of the line segment is
(Type an ordered pair.)
500,000 in expanded form
Answer:
500,000 =
5 × 100,000
+ 0 × 10,000
+ 0 × 1,000
+ 0 × 100
+ 0 × 10
+ 0 × 1
Step-by-step explanation:
there are more then one ways of writing this so here's another example
500,000 =
500,000
+ 0
+ 0
+ 0
+ 0
+ 0
PLEASE HELP! TRIGONOMETRY:
A passenger in an airplane at an altitude of 10 kilometers sees two towns directly to the east of the plane. The angles of depression to the towns are 24° and 53° (see figure). How far (in km) apart are the towns? (Round your answer to one decimal place.)
Using relations in a right triangle, it is found that the distance between the towns is of 15 km.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.For the first town, we have that:
The internal angle of the triangle 90 - 53 = 37º.The opposite side to the angle is the horizontal position xA.The adjacent side to the angle is of 10 km.Hence:
tan(37º) = xA/10
xA = 10 x tan(37º).
xA = 7.5 km.
For the second town, we have that:
The internal angle of the triangle 90 - 24 = 66º.The opposite side to the angle is the horizontal position xB.The adjacent side to the angle is of 10 km.Hence:
tan(66º) = xB/10
xB = 10 x tan(66º).
xB = 22.5 km.
Hence the distance is:
22.5 km - 7.5 km = 15 km.
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Is this a function ?
Answer:
no
Step-by-step explanation:
Functions are wavy lines
Answer:
yes
Step-by-step explanation:
Factor out the greatest common factor.
4x³+16x² +8x
The greatest common factor for 4x³+16x² +8x is 4x(x2- 4x - 2).
This solution focuses on simplification:
4x(x2-4x-2)
(4(x3)-24x2)-8x
(22x3-24x2) -8x
Take similar factors aside:
4x3-16x2-8= 4x(x2-4x-2)
Factoring x2 - 4x - 2
x2 is the initial term, and it has a coefficient of 1.
The coefficient of the intermediate term, which would be -4x, is 4.
"The constant," the final term, is -2.
Multiply the constant by the coefficient of the first term. 1 -2 = -2
The second step is to find two -2 factors whose sum is equal to the -4 coefficient of the middle word.
-2 + 1 = -1
-1 + 2 = 1
No two of these factors can be discovered!!
Trinomial cannot be factored.
Hence, The greatest common factor is 4x(x2- 4x - 2).
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another way to write m-9
The expression written in another way is -9 + m
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and constants
How to rewrite the expression in another way?The expression is given as:
m - 9
By the subtraction property of an equation, we have
a - b = -b + a
x - y = -y + x
Using the above equations as a guide, we have
m - 9 = -9 + m
Hence, the expression written in another way is -9 + m
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What is the least common multiple of 70, 60, and 50?
60
180
210
2,100
210,000
A project manager is calculating work forecasts. The manager's team completed of a job in 16 days. At this rate, the
manager says that the team completed of the project each day.
What was the manager's error?
O The manager is correct. There was no error.
O The manager divided by 16 instead of dividing
by 16.
O The manager divided 16 by
instead of dividing
by 16.
O The manager divided 16 by
instead of multiplying 16 by
O The manager divided by 16 instead of multiplying 16 by
The error that the manager made was that B. The manager divided 5/4 by 16 instead of dividing 4/5 by 16.
How to calculate the value?The information illustrates that the project manager is calculating work forecasts and he manager's team completed 4/5 of a job in 16 days.
Therefore, the amount that was done each day will be:
= 4/5 ÷ 16
= 4/5 × 1/16
= 4/80
= 1/20
Therefore, the error that the manager made was that the manager divided 5/4 by 16 instead of dividing 4/5 by 16. This was the reason that he got 5/64.
Therefore, the correct option is B.
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A box of Tyler's favorite snack, Cheesy Snaps, is 13 centimeters tall and 6 centimeters wide.
It is twice as long as it is wide. What is the volume of a box of Cheesy Snaps?
Answer: 156
Step-by-step explanation:
13x2=26
26x6=156
The required volume of the box is given as 936 cubic centimeters.
Given that, A box of Tyler's favorite snack, Cheesy Snaps, is 13 centimeters tall and 6 centimeters wide. It has twice as long as it is wide.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
height = 2 × width
height = 2 × 6 = 12
The volume of the box = length × width × height
= 13 × 6 × 12 = 936
Thus, the required volume of the box is given as 936 cubic centimeters.
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explain how to graph the equation on a coordinate plane: y = 3x - 5
lations below are also functions?
To graph an equation on the co-ordinate plane we plot points that satisfy the given equation .
The graph of a linear equation is two variables gives a straight line on the co-ordinate plane.
To graph a straight line on the co-ordinate plane we take three points or solution of the equation on the line and join them.To calculate the solutions(points) of the line we take some values of x and calculate the corresponding values of y.Then we make a table of the points and graph the equation of the line by joining the points.the given equation is y=3x-5
at x=0 ,y=3×0-5 or y=-5
at x=2 , y=(3×2)-5 or y=1
at x=-1,y=(3×-1)-5 or y=-8
Now we make the table to get the desired points.
x y point
0 -5 A (0,-5)
2 1 C(2,1)
-1 -11 B (-1,-8)
The graph for the equation y=3x-5 is drawn.
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If a linear function has the points (−5,4) and (−2,−2) on its graph, what is the rate of change of the function?
The rate of change of the linear equation that has the given points on its graph is; -2.
How to Find the Rate of Change of a Linear Function?The rate of change of a linear function can be determined by using the following formula:
Rate of change = change in y / change in x = y2 - y1 / x2 - x1.
Given the following points on a graph of a linear function:
(−5,4) = (x1, y1)
(−2,−2) = (x2, y2)
Plug in the values
Rate of change = change in y / change in x = (-2 - 4) / (-2 -(-5))
Rate of change = -6 / 3
Rate of change = -2 / 1
Rate of change = -2
Thus, the rate of change of the linear equation that has the given points on its graph is; -2.
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Later you have another chocolate bar. This time, after you give away 1/3 of the bar, a
friend breaks off 3/4 of the remaining piece. What part of the origina chocolate bar do you have
left? Answer this question by drawing a diagram
Answer:
Step-by-step explanation:
x+y-z= 6
3x - 2y + z = -5
x + 3y - 2z = 14
Answer:
( x , y , z) = ( 1 , 3 , - 2)
the solution
if we multiply by 5 to the difference of 1 out of six part of Times of 15 and 3 then find the number
Answer:
1 out of 6 part of time 15 and 3 mains time 15 and 3 has 6 parts and that you should take one out of this six paths
1/6 (15 x 3) = 1/6. x 45 = 15/2
then,multiple by 5
15/2 × 575/2 = 37 1/2
Given the following data, find the weight that represents the 42nd percentile.
Weights of Newborn Babies
8.3 6.5 6.0 5.4 6.7
6.5 8.1 9.2 6.4 8.0
6.8 9.0 8.7 9.3 8.0
The weight represents the 42nd percentile.
=6.712
This is further explained below.
Find the weight that represents the 42nd percentile.?Generally, the given data is
8.3,6.5,6,6,5,4,6.7,6.5,8: 1,9.2,6.4,8 0,6.8,9.0,8.7,9.3,8.0
The ascending order of the data is
5.4,6.0,6.4,6.5,6.5,6.7,6.8,8.0,8.0,8.1,8.3,8.7,9.0
n=15.
42ndPercentile
=P_{42}
[tex]=42\left(\frac{n+1}{100}\right)^{\text {th }} \text { term } \\[/tex]
[tex]&=42\left(\frac{16}{100}\right) \text { th term } \\[/tex]
=6.72th term
=6th+0.72(72nd -6th) term
=6.7+0.72(6.8-6.7)
=6.712
In conclusion, the weight represents the 42nd percentile.
=6.712
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What is the solution to
this equation?
5x + 3 = 2x - 6
The solution to this equation is x = -3
How to determine the solution to this equation?
The equation is given as
5x + 3 = 2x - 6
Collect the like terms
5x - 2x = -3 - 6
Evaluate the like terms
3x = -9
Divide both sides by 3
x = -3
Hence, the solution to this equation is x = -3
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Four times the lesser of two consecutive even integers is less than twice the greater number. Find the integers.
There exists no even integer with the given parameters
How to determine the two consecutive even integers?Consecutive even integers are integers that have a difference of 2
i.e x and x + 2
Where x is the lesser number
Using the given mathematical statement, we have
4x < 2(x + 2)
Divide by 2
2x < x + 2
Subtract x from both sides
x < 2
There is no even number less than 2
Hence, there exists no even integer with the given parameters
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Find the area of the figure.
Answer:
[tex]18 {m}^{2} [/tex]
Step-by-step explanation:
The figure shown in the image is a parallelogram.
To find the area of a parallelogram we use the following formula:
A = b • h (b: base, h: height)
The height is 4.5m while the base is given as 4m
(4.5) • 4 = 18
Since the area is put in square units the answer is
[tex]18 {m}^{2} [/tex]
NO LINKS! Please help me
Answer:
hope this explanation helps you
Answer:
[tex]\textsf{b)} \quad -\dfrac{3\sqrt{13}}{13}[/tex]
Step-by-step explanation:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
θ is the angle.O is the side opposite the angle.A is the side adjacent the angle.H is the hypotenuse (the side opposite the right angle).[tex]\textsf{If}\; \tan(\theta)=-\dfrac{2}{3} \implies \sf O=2 \; \textsf{and} \; A=3.[/tex]
Use Pythagoras Theorem to calculate the length of the hypotenuse:
[tex]\sf \implies O^2+A^2=H^2[/tex]
[tex]\implies \sf H=\sqrt{O^2+A^2}[/tex]
[tex]\implies \textsf{H}=\sqrt{2^2+3^2}[/tex]
[tex]\implies \textsf{H}=\sqrt{13}[/tex]
Therefore, substituting the values of A and H into the cosine ratio:
[tex]\implies \cos \theta=\dfrac{3}{\sqrt{13}}[/tex]
[tex]\implies \cos \theta=\dfrac{3}{\sqrt{13}}\cdot \dfrac{\sqrt{13}}{\sqrt{13}}[/tex]
[tex]\implies \cos \theta=\dfrac{3\sqrt{13}}{13}[/tex]
As the terminal side of the angle is in Quadrant II, and cosine is negative in Quadrants II and III, the exact value of cos(θ) is:
[tex]\implies \cos \theta=-\dfrac{3\sqrt{13}}{13}[/tex]
H E L P :(
What is the ratio of fiction novels to all novels? 11 to 5 2:5 5/11 5 to 2
Answer:
5/11
Step-by-step explanation:
make sure next time to say how much books do you have I have answered a similar question with this wording so I hope this helps :))
The sum of 4,7, and a number amounts to 16 find the number
Answer:
The unknow number is 5.
Explanation and Check part below
Hope this helps :)
Step-by-step explanation:
1. To solve, first wrote it into an equation. Also, the letter x will stand for the unknown number.
4 + 7 = 11
11 + x = 16
2. Isolate the varable by subtracting 11 from both sides of the equation.
11 + x = 16
- 11 - 11
x = 5
The unknow number is 5.
Check:
11 + 5 = 16
16 = 16
True statement.
Lydia is buying some jewelry for her fried Michelle for her birthday. Each set is $5 and shipping is $4 flat. If Lydia buys 4 jewelry sets, how much will she spend?
When Lydia buys 4 jewelry sets, the amount spent is $24.
How to calculate the value?From the information given, we are told that Michelle is preparing for her birthday and that each set is $5 and shipping is $4 flat. If Lydia buys 4 jewelry sets.
Therefore, the equation will be:
4 + (5 × x)
where x = number of set
4 + 5x
4 + (5 × 4)
= 4 + 20
= $24
The amount is $24.
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Calculate the magnitude of the repulsive force between a +500μC charge and a +100μC charge which are 5 m apart. [k=9×109 Nm2C-1]
The magnitude of the repulsive force between a +500μC charge and a +100μC charge which are 5 m apart is 2N.
The repulsive force between two charges = (k q₁ q₂)/r²
q₁ q₂ are the charges
r is distance between the charges
k= 9×10⁹ Nm²C²
F= (500μC) (+100μC)9×10⁹/25
= 2N
A movement between two charges that are same or comparable is referred to as repulsion. The tension between two electrons (negative charge). Two charges of a different sort are drawn toward one another by the force of attraction, which is defined as "a force between two charges that are distinct or different."
At a distance, magnetism is an attractive or repulsive force. The repulsive force gives rise to a metric that measures how a system's gravitational mass changes. According to the force-based approach, the forces that attract and repel other atoms come from their subatomic arrangement and control how they behave.
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