Find the coordinates of P so that P partitions the segment AB in the ratio 1:3 if A(5,8) and B(−1,4).


A. (-6.5, -9)

B. (-1.5, -1)

C. (3.5, 7)

D. (-4, -6)

Answers

Answer 1

Answer:

The coordinates of point P are (3.5 , 7) ⇒ answer C

Step-by-step explanation:

* Lets explain how to solve the problem

- If the point (x , y) divide a line whose endpoints are (x1 , y1) , (x2 , y2)

 at ratio m1 : m2 from the point (x1 , y1), then the coordinates of the

 point (x , y) are [tex]x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}},y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}[/tex]

* Lets solve the problem

∵ A is (5 , 8) and B is (-1 , 4)

∵ P divides AB in the ratio 1 : 3

∴ m1 = 1 and m2 = 3

- Let A = (x1 , y1) and B = (x2 , y2)

∴ x1 = 5 , x2 = -1 and y1 = 8 , y2 = 4

- Let P = (x , y)

∴ [tex]x=\frac{(5)(3)+(-1)(1)}{1+3}=\frac{15+(-1)}{4}=\frac{14}{4}=3.5[/tex]

∴ [tex]y=\frac{(8)(3)+(4)(1)}{1+3}=\frac{24+4}{4}=\frac{28}{4}=7[/tex]

∴ The coordinates of point P are (3.5 , 7)


Related Questions

Find all complex numbers z satisfying the equation {z+1}/{z-1} = i.

9 points and brainiest: please answer!

Answers

Answer:

Step-by-step explanation:

{z+1}/{z-1} = i.

z+1 = i (z-1)

z+1 =iz -i

z - iz  = -1 -i

z ( 1 -i) = - 1 -i

z = (- 1 - i ) /(1-i) = - (1+i)/(1-i)

z = - (1+i)(1+i)/(1-i)(1+i)

z = - (1+2i +i²)/ ( 1²-i²).........i² = -1

z =-2i/2

z = - i      (one solution)

All the complex numbers z satisfying the equation {z+1}/{z-1} = i is z = -i.

What are Complex Numbers?

Complex numbers are numbers which are of the form [tex]a + ib[/tex], where a and b are real numbers and i is the imaginary number called iota whose value is [tex]i^2[/tex]= -1.

Given equation is,

(z + 1) / (z - 1) = i

Multiplying both sides by (z - 1),

z + 1 = i (z - 1)

Let z = (a + bi)

Substituting,

(a + bi + 1) = i (a + bi - 1)

(a + bi + 1) - i (a + bi - 1) = 0

a + bi + 1 - (ai + b(i)² - i) = 0

a + bi + 1 - ai - b(i)² + i = 0

Now i² = -1

a + bi + 1 - ai + b + i = 0

Combining the like terms,

(bi - ai + i) + (a + 1 + b) = 0

i (b - a + 1) + (a + b + 1) = 0

Left hand side is a complex number.

A complex number is a + bi = 0, when a = 0 and b = 0.

So, we get,

(b - a + 1) = 0 and (a + b + 1) = 0

b - a = -1 and a + b = -1

So, combining,

a + b = b - a

a + a = b - b

2a = 0

a = 0

Substituting,

b = -1

So the complex number, z = a + bi = -i

Hence the complex number z = -i.

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Expand. Your answer should be a polynomial in standard form. (b^2+5)(−b^2+7)=

Answers

(b^2+5)(−b^2+7)

Use the FOIL METHOD to expand.

-b^4 + 7b^2 - 5b^2 + 35

-b^4 + 2b^2 + 35

Did you follow?

Standard form (b^2+5)(−b^2+7) polynomial is = -b⁴+2b²+35

What are polynomials?

A polynomial expression is an expression that can be built from constants and symbols.Polynomials are algebraic expressions that comprise exponents which can be added, subtracted, or multiplied. Polynomials are of different types. Monomial- Linear equations (A monomial is a polynomial with one term)Binomia l- quadratic equation (A binomial is a polynomial with two, unlike terms).

Using FOIL METHOD to expand.

(b²+5)(−b²+7)

=(b²+5)(7-b²)

=7b²-b⁴+35-5b²

=2b²-b⁴+35

= -b⁴+2b²+35

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Quick!! I need help!! For math class

Answers

Answer:

x=(2/5) or x=0.4

Step-by-step explanation:

3x+5=7-2x

3x=2-2x

5x=2

x=(2/5) or x=0.4

what is the solution to the system of equations y= -3x+6 y=9
A (-21,9)
B (9,-21)
C (-1,9)
D (9,-1)​

Answers

Answer:

C. (-1, 9)

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y=-3x+6\\y=9\end{array}\right\ \text{put the value of}\ y\ \text{to the first equation}\\\\9=-3x+6\qquad\text{subtract 6 from both sides}\\3=-3x\qquad\text{divide both sides by (-3)}\\-1=x\to x=-1[/tex]

What is the area of ABC? Helppppp

Answers

Answer:

6 square units (rounded to nearest whole number)

Step-by-step explanation:

Area of triangle is found by the formula 1/2 * base * height

But we can't easily figure this out using this formula, instead we use another formula for area of a triangle:

[tex]A=\frac{1}{2}abSinC[/tex]

Where

A is the area

a and b are the two side given (3 and 5 in our case)

C is the angle between a and b (53 degrees given)

We can substitute into the formula and figure out:

[tex]A=\frac{1}{2}abSinC\\A=\frac{1}{2}(3)(5)Sin53\\A=5.99[/tex]

The area is 5.99, to the nearest whole number, the area is 6

the mathematical name of this quadrilateral

Answers

Answer:

Its a kite

Step-by-step explanation:

Answer:

kite

Step-by-step explanation:

try not to get it confused with a rhombus

What is the probability

Answers

Answer: Last Option

[tex]P=0.4125[/tex]

Step-by-step explanation:

In this case we have a uniform probability. In the graph the horizontal axis represents the possible values of the variable x and the vertical axis represents the probability P(x).

To calculate the probability that x is between 4.71 and 7.4 we calculate the area under the curve.

The horizontal length between 4.71 and 7.4 is:

[tex]7.4-4.1 = 3.3[/tex].

Then notice that the vertical length in this interval is 0.125.

Then the area of a rectangle is:

[tex]A = lw[/tex]

Where l is the length and w is the width.

In this case we have to:

[tex]l = 3.3[/tex]

[tex]w = 0.125[/tex]

So

[tex]P = A = 3.3 * 0.125[/tex]

[tex]P=0.4125[/tex]

Convert the radian measure to degrees. (Round to the nearest hundredth when necessary): 7π/3

Answers

Answer:

420°

Step-by-step explanation:

To convert from radian to degree measure

degree measure = radian measure × [tex]\frac{180}{\pi }[/tex]

Hence

degree = [tex]\frac{7\pi }{3}[/tex] × [tex]\frac{180}{\pi }[/tex]

Cancel π on numerator/ denominator

= [tex]\frac{7(180)}{3}[/tex] = 420°

Final answer:

To convert 7π/3 radians to degrees, multiply by the conversion factor 180°/π to get 420°.

Explanation:

To convert the radian measure to degrees, we can use the conversion factor that 1 radian is equivalent to 57.3°.

Given the radian measure 7π/3, we multiply this by the conversion factor to find the degree measure.

The conversion is as follows:

7π/3 radians × (180°/π) = 7×180°/3 = 420°.

Therefore, 7π/3 radians is equivalent to 420° when converted to degrees.

The next model of a sports car will cost 14.6% less than the current model. The current model costs $38,000 . How much will the price decrease in dollars? What will be the price of the next model?

Answers

Answer:

Part 1) The price will decrease $5,548

Part 2) The price of the next model is $32,452

Step-by-step explanation:

Let

x ----> the price of the next model

we know that

The current model costs $38,000 -----> represent the 100%

step 1

To find the price decrease in dollars multiply the current model price by 14.6%

14.6%=14.6/100=0.146

so

0.146*($38,000)= $5,548

step 2

Find the price of the next model

To find the price of the next model subtract the price decrease from the price of the current model

so

x=$38,000-$5,548=$32,452

A retail store pays a price of $6.25 per toy. It prices the toy at $k so that at a 25%- of sale, the store still makes a profit of 20%. Compute K

Answers

The store wants to make a 20% profit:

Multiply the cost of the toy by 1.20 ( cost plus 20%).

6.25 x 1.20 = $7.50

This means when the toy is sold at 25% off, it needs to be $7.50 to make the 20% profit.

When the item is 25% off, that means it would sell for 75% of the original price.

Now to find what the price needs to be before the 25% off divide the profit price by 75%

7.50 / 0.75 = $10

K = $10

Final answer:

To find the price at which the toy should be sold to maintain a 20% profit after a 25% discount, use the cost price and profit margin to calculate the selling price.

Explanation:

To compute the price at which the toy should be priced at a 25% discount and still make a profit of 20%, follow these steps:

Calculate the cost price after a 20% profit margin: $6.25 + 0.20 * $6.25 = $7.50

Set up the equation: $7.50 = (100% - 25%) * $k

Solve for k: $k = $7.50 / 0.75 = $10

A alone can complete a work in 16 days and B alone can complete the work in 12 days. How many days will it take to complete the work if they work on alternate days starting from A.

Answers

Answer:

14 days

Step-by-step explanation:

1. Convert the amount of work person A and B can do respectively in one day into fractions.

                                        A = 1/16                  B = 1/12

2. Get both fractions to a common denominator using the least common multiple. This is 48.

                                1/16 × 3 = 3/48        1/12 × 4 = 4/48

3. Add both fractions to find out how much work will be done in two days.  We are doing this because we are working in a pattern, and this will allow us to multiply, which is more time efficient than repeatedly adding 3 and then 4.

                                               3/48 + 4/48 = 7/48

4. Figure out how many sets of two days work (7/48) will get them to 48/48 (100% done) or closest to it without being under. This would be 7 sets.

                                               7/48 × 7 = 49/48

5. Multiply 7 by 2. We are doing this because we worked in sets of two days to account for A working and then B, since they are taking turns.

                                                    7 × 2 = 14

6. It will take them 14 days.

What is the distance between zero and -53 on the number line?

Answers

Hello There!

the distance between 0 and -53 on a number line would be 53 spaces. This is because they are exactly 53 spaces away from each other.

Emma burns 350 calories per hour biking. This can be represented with the function c(h) = 350h, where h is the number of hours spent biking. Her mother asked her to tow her little sister in the bike trailer, which causes her to burn twice as many calories. This can be represented by the function t(c) = 2c, where c is the number of calories burned per hour. Write a function that will help Emma calculate the number of calories she will burn per hour while biking with her sister in the bike trailer.


c[t(c)] = 175c
t[c(h)] = 175h
c[t(c)] = 700c
t[c(h)] = 700h

Answers

Answer:

t[c(h)] = 700h

Step-by-step explanation:

Got it wrong, and it told me what was right lol

Answer:

The function is given by:

                            t[c(h)] = 700h

Step-by-step explanation:

Emma burns 350 calories per hour biking.

The function is given by:

                 c(h) = 350h.

Also, when her little sister tow in the bike then the she  burn twice as many calories.

This could be represented by the function:

                             t(c) = 2c

where c is the number of calories burned per hour.

Now, we are asked to find the function that calculate he number of calories she will burn per hour while biking with her sister in the bike trailer i.e. we are asked to find the composition function:

[tex]t(c(h))[/tex]

Hence, we have:

[tex]t(c(h))=t(350h)\\\\i.e.\\\\t(c(h))=2(350h)\\\\i.e.\\\\t(c(h))=700h[/tex]

what is another way to write the function f(x) = 5^x. The choices are
f(x)=(625^x)1/125
f(x) = 1/125(625^x)
f(x) = (625^x)^1/4
f(x) = 1/4(6256x)

Answers

Answer:

Correct answer is f(x) = (625^x)^1/4

Step-by-step explanation:

We know that

625 = 5^4

This means

f(x) = (625^x)^1/4

f(x) = (5^(4x))^1/4

But we know this is equivalent to

f(x) = (5^(4x*(1/4))) =

= 5^(x)

Correct answer is f(x) = (625^x)^1/4

Use the formula P=21+2w to find the width of a rectangle when the length is 18cm and perimeter is 48 ..

Answers

Answer:

w=6

Step-by-step explanation:

P=2(L)+2(w)

48= 2(18)+2w

48=36+2w

12=2w

w=6

checking;

48= 2(18)+2(6)

48= 36+12

48= 48

Answer the equation below:
16-2t=5t+9

Answers

Answer:

t = 1

Step-by-step explanation:

Given

16 - 2t = 5t + 9 ( subtract 5t from both sides )

16 - 7t = 9 ( subtract 16 from both sides )

- 7t = - 7 ( divide both sides by - 7 )

t = 1

Answer:

2.43

Step-by-step explanation:

16-2t=5t+2t

16-9=5t+2t

17÷7=7t

t=2.43

This graph represents the function (see picture) a= ___ b= ___

Answers

Answer:

a=1, b=-12

Step-by-step explanation:

This is a rational function with a hole at x=3 and a vertical asymptote at x=-4.

The denominator of this rational function must be:

[tex](x - 3)(x + 4)[/tex]

When we expand using the distributive property, we get:

[tex] {x}^{2} + 4x -3 x - 12[/tex]

This simplifies to

[tex] {x}^{2} + x - 12[/tex]

Therefore the graphed rational function is:

[tex]f(x) = \frac{ {x}^{2} - 4x + 3 }{ {x}^{2} + x - 12 } [/tex]

Comparing this to

[tex]f(x) = \frac{ {x}^{2} - 4x + 3 }{ {x}^{2} +a x + b} [/tex]

We have

[tex]a = 1[/tex]

and

[tex]b = - 12[/tex]

Using the diagram as marked, find the length

of HE if GE is the perpendicular bisector of HF.

HE = ??

HELP PLEASE!!

Answers

just a quick note, that triangle is misleading some, since the HG side of 6 units, shows longer than GE which is 8, and of course 8 > 6.

Since GE is a perpendicular bisector, that means the angle at G is 90°.

Check the picture below.

Final answer:

To find the length of HE, we utilize the properties of a perpendicular bisector and trigonometry. Knowing that GE halves HF into two equal parts, we calculate HF using trigonometric concepts, then halve it to find HE.

Explanation:

In the question, it's mentioned that GE is a perpendicular bisector of HF. This means that GE bisects HF into two equal lengths. Therefore, the length of HE will be equivalent to half of the length of HF.

Since, HF can be calculated using trigonometry as mentioned. By definition, cose = x/h, so if we know the height 'h' and the angle, we can find 'x' which in this case would be HF, and subsequently HE would be HF/2.

Moreover, in trigonometry, the length of side opposite to the right angle in a right-angled triangle is calculated by the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. We use this to find out HF if other two sides are known.

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This table shows how many sophomores and juniors attended two school events. What is the probability that the student attended the volleyball game, given that the student is a sophomore
A
B
C
or D

Answers

Answer:

B 0.55

Step-by-step explanation:

the student is a sophomore - so youre looking at the sophomore row, 77 sophomores total

the student attended the volleyball game - 42 sophomores attended the game

42 / 77 students total = about 0.55

Answer:

Option: B is the correct answer.

              B.   0.55

Step-by-step explanation:

Let A denote the event that the student is a sophomore.

and B denote the event that the student attend the volleyball game.

and A∩B denote the event that the student is a sophomore and attend volleyball game.

Let P denote the probability of an event.

We are asked to find the probability : P(B|A)

We know that:

[tex]P(B|A)=\dfrac{P(A\bigcap B)}{P(A)}[/tex]

Based on the table provided to us we have:

[tex]P(A)=\dfrac{77}{137}[/tex]

and

[tex]P(A\bigcap B)=\dfrac{42}{137}[/tex]

Hence, we have:

[tex]P(B|A)=\dfrac{\dfrac{42}{137}}{\dfrac{77}{137}}[/tex]

i.e.

[tex]P(B|A)=\dfrac{42}{77}=0.55[/tex]

- An experiment consists of rolling two fair
number cubes. What is the probability
that the sum of the two numbers will be
47 Express your answer as a fraction in
simplest form.​

Answers

Answer:

0

Step-by-step explanation:

Each time two cubes are rolled, the sum can be a number from 2 (rolling 1 and 1) to 12 (rolling 6 and 6). It is impossible to get a sum of more than 12, so there is zero probability of getting a sum of 47.

Answer: 0


[tex]( - 7x + 1) - (4x + 5)[/tex]

Answers

Answer:

-11x-4 is the answer if the expression to simplify is (-7x+1)-(4x+5).

Step-by-step explanation:

We are first going to distribute to get rid of the ( ):

-7x+1-4x-5

Pair up like terms:

-7x-4x+1-5

Combine the like terms:

-11x-4

What is the range of the function y=3/x+8?

Answers

The range of the function y=3/x+8 is all real numbers except 8, since the function approaches 8 but never reaches it due to the vertical asymptote at x=0.

The range of the function y=3/x+8 refers to all possible output values (y-values) that the function can produce. To find the range, it is essential to consider the values that x can take. Since x is in the denominator, x cannot be 0, as division by zero is undefined. Therefore, the function has a vertical asymptote at x=0.

As x approaches both positive and negative infinity, y approaches the constant 8, because the term 3/x approaches 0. Thus, the function can get close to, but never equal, the value of 8. Also, since 3/x can take any value except 0, the range of the function is all real numbers, excluding 8.

The final range of the function y=3/x+8 is therefore: {y | y ≠ 8}, meaning all real numbers that are not equal to 8.

Triangle ABC has vertices A(0,0) B(6,8) and C(8,4). Which equation represents the perpendicular bisected of BC?

Answers

Answer:

[tex]y = \frac{1}{2}x+\frac{5}{2}[/tex]

Step-by-step explanation:

The perpendicular bisector of a line passes through the mid-point of the line and the product of slopes of the line and perpendicular bisector will be -1.

So,

[tex]Mid-point\ of\ BC = (\frac{6+8}{2},  \frac{8+4}{2})\\= (\frac{14}{2},  \frac{12}{2})\\= (7,6)[/tex]

The line will pass through (7,6)

Now,

[tex]Slope\ of\ BC = m_1 = \frac{y_2-y_1}{x_2-x_1} \\=\frac{4-8}{8-6}\\= \frac{-4}{2}\\= -2[/tex]

Let

m_2 be the slope of perpendicular bisector

So,

m_1*m_2 = -1

-2 * m_2 = -1

m_2 = -1/-2 = 1/2

The standard equation of line is:

y=mx+b

Where m is slope

So putting the value of slope and point to find the value of b

[tex]6 = \frac{1}{2}*7 +b\\ 6 = \frac{7}{2} + b\\b = 6 - \frac{7}{2}\\ b = \frac{12-7}{2}\\b = \frac{5}{2}\\So,\ the\ equation\ of\ perpendcular\ bisector\ of\ BC\ is:\\y = \frac{1}{2}x+\frac{5}{2}[/tex]

..

Find the leg of each isosceles right triangle when the hypotenuse is of the given measure. Given = 6√2

Answers

Answer:

The answer would be 6.

h(x) = x2 + 1 k(x) = x – 2 (h + k)(2) =

Answers

Answer:

5

Step-by-step explanation:

Evaluate (h + k)(x) then substitute x = 2 into the result

(h + k)(x) = h(x) + k(x)

h(x) + k(x) = x² + 1 + x - 2 = x² + x - 1, thus

(h + k)(2) = 2² + 2 - 1 = 4 + 2 - 1 = 5

Final answer:

To find the value of (h + k)(2), substitute x = 2 into h(x) and k(x) and then add the results. The result is 5.

Explanation:

To find the value of (h + k)(2), we first need to find the values of h(2) and k(2). To find h(2), we substitute x = 2 into the function h(x) = x² + 1. h(2) = (2)² + 1 = 4 + 1 = 5. Next, to find k(2), we substitute x = 2 into the function k(x) = x - 2. k(2) = 2 - 2 = 0. Now, we can find (h + k)(2) by adding the values of h(2) and k(2). (h + k)(2) = h(2) + k(2) = 5 + 0 = 5.

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An important property of every line is its steepness, or____

Answers

Answer:

An important property of every line is its steepness, or slope.

The important property of every line is its steepness, or slope.

Steepness or Slope:

In terms of mathematics, the slope or gradient of a line represent the number that explained both the direction and the steepness of the line.

The steepness, incline, or grade of a line should be determined by the absolute value of the slope. A slope should have a greater absolute value indicates a steeper line.

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What is 51/7 by 31/9 in simplest form

Answers

Answer:

51/7 = [tex]\frac7 {2}{7}[/tex]  31/9 = [tex]\frac3{4}{9}[/tex]

Step-by-step explanation: I hope this helps you!

Answer:

Step-by-step explanation:

51/7 = 7 2/7

31/9 = 3 4/9

Hope this helps!

A line has a slope of –3 and a y-intercept of 3.

Answers

Answer:

y = - 3x + 3

Step-by-step explanation:

Assuming you require the equation of the line

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3 and c = 3, hence

y = - 3x + 3 ← equation of line

Hey there!

What I am assuming you are looking to do is convert this into a linear equation. I will guide you on how to do just that.

The linear equation form is:

y = mx + b

Note in particular m represents the slope and b represents the y-intercept.

Our answer would be y = -3x + 3

Which of the following modern movements led to new ways of studying and
thinking about the natural world?
O
A. The capitalist movement
B. The communist movement
O
C. The scientific revolution
O
D. The Industrial Revolution

Answers

Answer:

C. The scientific revolution

Step-by-step explanation:

The scientific revolution led to new ways of studying and  thinking about the natural world.

Final answer:

The Scientific Revolution is the modern movement that led to new ways of studying and thinking about the natural world. It was characterized by advances in various fields of science, and marked a transformation in scientific thought and practice.

Explanation:

Among the options provided, option C -- The Scientific Revolution -- represents the modern movement that led to new ways of studying and understanding the natural world. The Scientific Revolution, which took place during the 16th and 17th centuries, was characterized by significant advances in physics, astronomy, biology, human anatomy, and chemistry. It marked a crucial period of transformation in scientific thought and practice, with philosophers and scientists starting to challenge traditional beliefs about nature and the universe, leading to the adoption of the scientific method.

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help plz
question 1:
a.)8

b.)-8

c.)32.5

d.)-32.5

question 2:
a.)+8

b.)-8

c.)+32.5

d.)-32.5

Answers

Answer:

Question 1: 8

Question 2: -32.5

Step-by-step explanation:

Laura gets paid 8 dollars an hour to baby sit

8x represents how much Laura gets paid by the hour.

Laura owes her friend 32.50

-32.50 represents the amount she owes her friend

Combine

y = 8x - 32.50

Answer

Question 1: 8

Question 2: -32.5

Answer:

y = 8x-32.50

Step-by-step explanation:

She makes 8 dollars an hour babysitting.  She will work x hours

She makes 8x

She owes 32.50 to her friend.  This will be subtracted because she owes it

The amount of money she has at the end, y, is given by

y =8x-32.50

Other Questions
What does the equipotentiality hypothesis suggest would happen if the hippocampus was damaged? a.another part of the brain would compensate for the damage by taking over the memory function normally managed by the hippocampus b.areas near the hippocampus would decay, followed by a cascading failure of the brain leading to death c.people would lose their ability to feel fear d.people would become comatose Consider how you respond to major events in your life. When something significant happens, how do you typically respond? Check all that apply. -call your friends - write in a journal - get more talkative -become quiet and reserved- compare your situation to others - focus on your unique experience Y=8x-11Y=x-17Solve the system of equations Write an exponential function y = abx for a graph that includes (1, 15) and (0, 6). Which statement accurately describes the virgins plan Which of the following is the solution of 5e2x - 4 = 11? A. X=In 3B.In 27 C. X=In13/2D.X=3/In3 I need help ASAP please Your order is supposed to be delivered between 5PM-6PM, and its now 5:45PM. Youre stuck in a long line waiting to check out. In this situation, you will be late delivering the order. Provide an example of the text message you would send to the member. Fill in the blank with the correct form of "to be" in the present tense: Ellesde Belgique.O A. sontO B. estO C. tesO D. sommes QUESTIONS The average price of wheat per metric ton in 2012 was $30575. Demand in millions of metric tons) in 2012 was 672. The average price of wheat per metric ton in 2013 was $291.56, while the demand was 700. Calculate the elasticity and classify as elastic or inelastic -0.04 elastic -0.9, elastic -0.9; inelastic -3.84, elastic -0.04 inelastic graph the equation by translating y=|x|y=|X+2| A celling fan has two different angular speed setting: omega_1 = 440 rev/min and omega_2 = 110 rev/min. what is the ratio a_1/a_2 of the centripetal accelerations of a given point on a blade? The wavelength of the red-pink line emitted by a laboratory sample of excited hydrogen is 656 nm. Taking a spectrum of a glowing nebula, you find that the same red-pink line of hydrogen appears at 662 nm. You conclude that the nebulaA. Is 1% hotter than hydrogen in the laboratory sample.B. Is moving towards us at about 1% the speed of light.C. Is 1% cooler than hydrogen in the laboratory sample.D. Is moving away from us at about 1% the speed of light What is a Trojan?(I'm talking about the computer virus) Help!!!!!!!!!!!!!!!!!!!!!!!!! What is the measure of angle C? The standard reduction potentials of lithium metal and chlorine gas are as follows: Reaction Reduction potential (V) Li+(aq)+eLi(s) 3.04 Cl2(g)+2e2Cl(aq) +1.36 In a galvanic cell, the two half-reactions combine to 2Li(s)+Cl2(g)2Li+(aq)+2Cl(aq) Calculate the cell potential of this reaction under standard reaction conditions. What is the golden rule for solving an equation? Graph g(x), where f(x) = 4x 2 and g(x) = f(x + 1). In the US constitution the fugitive slave clause kept the condition of bondage for a slave even if he or she escaped to a free state?