PLEASE HELP!
Given triangle ABC with vertices A(−3, 0), B(0, 6), and C(4, 6). Find the equations of the three medians of triangle ABC

Answers

Answer 1

Answer:

y= -7/6x+6

y= -1/2x+8

x = -3

Step-by-step explanation:

Find the slope of the lines of the triangle. Then you can find the perpendicular  slope of that (the slope of the altitudes) by inversing it and switching the = or - sign. Then you have a point the altitude goes through (one of the vertices) and the slope. Then you can make the equation.


Related Questions

Can someone help me with this problem? It has to be in PEMDAS order. 16+(4*2/2)-4

I think it's 18 but I'm not sure

Answers

Answer:16

Step-by-step explanation:

4*2 is 8/2 is 4 + 16 is 20 - 4 is 16

Answer:

16

Step-by-step explanation:

According to PEMDAS:

First do operations within parentheses.

Then you do exponents.

Then you do multiplication and division (or division and multiplication), working left to right.

Finally, you do addition and subtraction (or subtraction and addition), working left to right.

16 + (4 × 2 / 2) − 4

First, we start with what's in the parentheses.  We have multiplication and division.  Working left to right:

16 + (8 / 2) − 4

16 + 4 − 4

Now we have addition and subtraction.  Working left to right:

20 − 4

16

Read and answer pls!!20 points only if you know

Answers

Answer:

5/4 -6

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

A proportional relationship has the form

y = kx ← k is the constant of proportionality

y = [tex]\frac{2}{5}[/tex] x - 4 ← is not in this form

Thus does not represent a proportional relationship

Subtract using the number line.

−13−123

Select the location on the number line to plot the point.

Answers

Answer: -136

Step-by-step explanation:

123+13 is 136 you then change 136 into a negative since you were subtracting 123 from -13

Answer:

-136  

Step-by-step explanation:

Here the given problem,

-13 - 123,

By using number line, we will follow the following steps,

Step 1 : Start from -13 in the number line,

Step 2 : Since, -123 is a negative number so, move 123 units left side from -13,

Step 3 : We will get -136, which is the answer.

That is,

-13 - 123 = -136

y = 0.5x +3

Evaluate the function.
a) f(-10)

Answers

Answer:

-2

Step-by-step explanation:

y=.5(-10)+3

y=-5+3

y=-2

What are the three main types of money?
A) credit, commodity, representative
B) fiat, commodity, credit
C) representative, credit, fiat
D) commodity, representative, fiat

Answers

Answer:

D)commodity,representative,filat

Answer:

Physical money. Physical money, meaning cash and coins, is created by the US Treasury. ...

Central bank reserves. Central bank reserves are a type of electronic money, created by the Federal Reserve and used by banks to make payments between themselves. ...

Commercial bank money.

Step-by-step explanation:

Please need help on this please

Answers

Answer:

C

Step-by-step explanation:

Given

x² - 10x + 24 = 0

Consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term (- 10)

The factors are - 4 and - 6, since

- 4 × - 6 = + 24 and - 4 - 10 = - 10, hence

(x - 4)(x - 6) = 0 ← in factored form → C

Answer:

○ C (x - 4)(x - 6)

Step-by-step explanation:

According to the Quadratic Equation of x² - 10x + 24, you have to find two numbers that when added up to 10, they also multiply up to 24, and those would be 4 and 6, and determining which signs each quantities get would depend on the sign in the midst of the equation [-], so in this case, both 6 and 4 get the negative symbol because -6 - 4 gives you -10, which is what you see in the midst of the equation. So with that, you have your answer.

I am joyous to assist you anytime.

James purchases a property for $150,000 in 2015. In the first year of ownership the capital appreciation of the property (how much its value increases by per annum) is 4%. In year 2, the housing market suffers a crash and the house experiences a capital depreciation of 6%. Calculate the value of the property, to the nearest $1,000, at the end of year 2. Round your answer to the nearest $1,000.

Answers

Answer:

$147,000

Step-by-step explanation:

After 1st year:

we need to increase 150,000 by 4%. That means the value would be 150,000 multiplied by 1.04. So:

150,000 * 1.04 = 156,000

After 2nd year:

The new appreciated value of 156,000 will now suffer a loss of  6%. So we need to find the new value by multiplying 156,000 by 0.94 (6% loss). So:

156,000 * 0.94 = 146,640

To the nearest 1000, this would be $147,000

Which sequence of transformations takes figure B to its image B'?

A. a reflection in the y-axis, followed by a translation 6 units up
B. a reflection in the x-axis, followed by a translation 2 units left
C. a reflection in the x-axis, followed by a counterclockwise rotation of 180 about the origin
D. a reflection in the y-axis, followed by a counterclockwise rotation of 270 about the origin

Answers

Answer:

D. a reflection in the y-axis, followed by a counterclockwise rotation of 270 about the origin

Step-by-step explanation:

Well, the first obvious step is to reflect it across the y-axis. Now, for the next step, since we do not have a 90°-clockwise rotation option, we have to go with something similar to that, which would be a 270°-counterclockwise rotation. If you think about it, since 3 × 90 is 270, and rotating this figure 90° clockwise [one rotation] would go from Quadrant III to Quadrant II, going the other way around [270°counterclockwise (three rotations)] will also go from Quadrant III to Quadrant II [to Quadrant IIII to Quadrant I to Quadrant II].

I am delighted to assist you anytime my friend.

Answer:

The answer i choose is D

Step-by-step explanation:

i choose D because 1.) i you worked out answer A than it would be sideways and wouldn't even fit on the board.  2.) if you worked out problem B than you will notice that the figure will end up sideways again.  3.) if you did answer C than you don't even end up in the right quadrant of the board

so you are left with D.) a reflection in the y-axis, followed by a counterclockwise rotation of 270 about the origin

The formula for the area of a triangle is A= bh, where b is the base of the triangle and h is the height of the triangle. What is the length of
the base if the area is 32 cm and the height is 4 cm?
A 4 cm
B. 8 cm
C. 16 cm
D. 18 cm

Answers

8cm cuase 32 is how área and your look for the base(b) and height (h) so you multiply 4 witch is your (h) and your lookin for you (b) and is going to be 8 cuase 4 times 8 is 32 witch is you area (a) so the answer is 8 cm for you (b)

The length of the base of a triangle with the given area and height is equal to [tex]8\ cm[/tex].

What is triangle?

" Triangle is defined as the two dimensional geometric shape with three vertices, three sides, and three interior angles enclosed in it."

Standard formula

Area of the triangle [tex]\frac{1}{2} \times base \times height[/tex]

According to the question,

Given,

Given formula of the area of the triangle [tex]= bh[/tex]

[tex]'b'[/tex] represents the base of a triangle

[tex]'h'[/tex] represents the height of a triangle

Area of the triangle [tex]= 32 \ cm^{2}[/tex]

Height of the triangle [tex]= 4 \ cm[/tex]

Substitute the value in the given formula we get,

[tex]32= b\times 4\\\\\implies b = \frac{32}{4} \\\\\implies b = 8 \ cm[/tex]

From standard formula

[tex]32 = \frac{1}{2} \times base \times 4\\\\\implies base = \frac{32\times 2}{4}\\ \\\implies base = 16 \ cm[/tex]

Hence, Option(B) is the correct answer.

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The square of the product of 4 and a number is the sum of the number and 15

Answers

Answer:

The number is 1 or -0.94 ( to the nearest hundredth).

Step-by-step explanation:

Let the number be x, then:

(4x)^2 = x + 15

16x^2 - x - 15 = 0

x = [-(-1) +/- sqrt(1 - 4 * 16 * -15)] / 32

x = 32/32 = 1 or

x = -0.94.

Answer:

 x=1           or      x = - [tex]\frac{15}{16}[/tex]

Step-by-step explanation:

To solve this problem, we will follow the steps below;

First, we need to re-write the question in a mathematical format.

Let x be the number

"The square of the product of 4 and a number is the sum of the number and 15"  can be written mathematically as;

(4x)²  = x + 15

16x² = x + 15

This equation can be re-written as;

16x² - x - 15 = 0

This is a quadratic equation, we can solve by formula method

x = -b ±√b² - 4ac   /2a

From the equation above,   a = 16      b = -1     and      c= -15

We can now proceed to insert the values into the equation

x = -b ±√b² - 4ac    /2a

x = -(-1) ±√(-1)² - 4(16)(-15)    /2(16)

x = 1 ±√1 + 960    /32

x = 1 ±√961   /32

x = 1 ± 31   /32

Either   x =  [tex]\frac{1+ 31}{32}[/tex]      or      x = [tex]\frac{1-31}{32}[/tex]

           x   = [tex]\frac{32}{32}[/tex]        or         x =[tex]\frac{-30}{32}[/tex]

       x=1           or      x = - [tex]\frac{15}{16}[/tex]

Order the numbers from smallest to largest: 1.448, 2 , 14 10 , and 1.22, A) 14 10 , 2 , 1.22, 1.448 B) 14 10 , 1.22, 1.448, 2 C) 2 , 14 10 , 1.22, 1.448 D) 1.22, 2 , 14 10 , 1.448

Answers

Answer: A

Step-by-step explanation:

The ascending order of the number from smallest to largest will be  1.448, 1.22, 2, 14 10

What is Ascending order?

Ascending order is a method of arranging numbers in increasing order or smallest to largest values.

We have given the values as

1.448, 2 , 14 10 , and 1.22

Here if we arrange the numbers in ascending order, we get

1.448, 1.22, 2, 14 10

Thus, The ascending order of the number from smallest to largest will be  1.448, 1.22, 2, 14 10

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what is 3.149 rounded to the nearest hundredth

Answers

Answer:

3.15

Step-by-step explanation:

3.149 rounded to the nearest hundredth is 3.15.

We have,

To round a number to the nearest hundredth, we look at the digit in the thousandth place.

In this case, the digit in the thousandth place is 4.

Since the digit 4 is greater than or equal to 5, we round up the digit in the hundredth place, which is 9.

Therefore, the number 3.149 is rounded up to 3.15 when rounded to the nearest hundredth.

Thus,

3.149 rounded to the nearest hundredth is 3.15.

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if f(1) =160 and f(n+1) = -2f(n), what is f(4)?

Answers

Answer:

-1280.

Step-by-step explanation:

f(n + 1) = -2 f(n):

As  function of 1 = 160,  function of 2 = -2 * 160 = -320.

function of 3 = -320 * -2 =  640  and

= function of 4 = 640 * -2 = -1280.

Kevin walks 2/3 of a mile in 2/5 of an hr. How many miles can he walk in 1 hr

Answers

Your answer would be 6/10, or 3/5

(2 / 5) / (2 / 3) = 0.6

and 0.6 as a fraction is 6/10

6/10 simplified is 3/5

Hopefully I got this right, I'm not 100%

what is the value of x?

enter your answer in the box

Answers

Answer:

x = +/-10°

Step-by-step explanation:

[2(x+10)]°=

[2x + 20] =

[2x] = [-20]

2x/2 = -20/2

x = -10

(3x - 30)°

3x/3 = 30/3

x = 10

Answer:

The value of x = 50°

Step-by-step explanation:

As,

[2(x+10)]°  &  (3x-30)° both are Vertically opposite angles.

we know,

vertically opposite angles are equal .

so,

2(x+10) = 3x-30

⇒2x+20 = 3x-30

⇒3x-2x=20+30

∴x=50

∴The value of x = 50°

1. Is the relationship shown by the data linear? If so, model the
data with an equation.

Answers

C. The relationship is linear; y-5 = 2(x+7)

3x + 1 = 8 I need the steps and answer.

Answers

3x + 1 = 8

move +1 to the other side

sign changes from +1 to -1

3x+1-1= 8-1

3x= 7-1

divide by 3 for both sides to get x by itself

3x/3= 7/3

Answer:

x= 7/3 and x= 2 1/3

Answer:

[tex]\large\boxed{x=\dfrac{7}{3}=2\dfrac{1}{3}}[/tex]

Step-by-step explanation:

[tex]3x+1=8\qquad\text{subtract 1 from both sides}\\\\3x+1-1=8-1\\\\3x=7\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}=\dfrac{7}{3}\\\\x=\dfrac{7}{3}[/tex]

4y+2x=180 solve for x and y

Answers

There you go!! Hope it helps

PLEASE HELP! (picture is shown)
which of the following points are collinear in this image?

Answers

Answer:

F, K & G

Step-by-step explanation:

Points are colinear if they lie on the same straight line.

only K , F & G line on a straight line.

The following points which are collinear in the image is Option (A) F,K and G.

What are collinear points ?

Three or more points are said to be collinear if they lie on a single straight line. A line on which points lie, especially if it is related to a geometric figure is called an axis. Two points are always collinear since two points determine a line.

How to identify the collinear points in the figure ?

From the definition of collinear points, we have to identify the points which are in a single straight line.

Apart from the rest other options, Option (A) signifies the points F,K and G which are on the single straight line of the vertex FG in the cube.

Therefore, the following points which are collinear in the image is Option (A) F,K and G.

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How do you calculate your overall gpa from your cumulative gpa?

Answers

Answer:

Your grade point average (GPA) is calculated by dividing the total amount of grade points earned by the total amount of credit hours attempted. Your grade point average may range from 0.0 to a 4.0. To get the example student's GPA, the total grade points are divided by the total credit hours attempted. To calculate your cumulative G.P.A., total the credit hours and then the grade points from all semesters. Divide the total grade points by the total credit hours.

Hope this helps.

Final answer:

To calculate your overall GPA from your cumulative GPA, multiply each grade by the number of credit hours, sum up all the grade points, and divide by the total number of credit hours.

Explanation:

To calculate your overall GPA from your cumulative GPA, you will need to determine the total number of grade points earned and the total number of credit hours taken. To do this, multiply each grade received by the number of credit hours for that course. Then, sum up all the grade points and divide by the total number of credit hours. This will give you your overall GPA.

Here is an example:

Course A: Grade - B (3.0), Credit Hours - 3Course B: Grade - A (4.0), Credit Hours - 4Course C: Grade - C (2.0), Credit Hours - 2

Total grade points: (3.0 x 3) + (4.0 x 4) + (2.0 x 2) = 9.0 + 16.0 + 4.0 = 29.0

Total credit hours: 3 + 4 + 2 = 9

Overall GPA: 29.0 / 9 = 3.22

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a raffle collects $30 for 6 tickets. Each ticket costs the same price. What ia the cost per ticket?​

Answers

Answer:5

Step-by-step explanation:30÷6=5

Answer:

5 is how much each ticket costs

A block of oak has volume of 200 cubic centimeter and weighs 0.12 kilograms. What is its density? Will it floats on water?

Answers

Answer:

Density  = Mass (grams) / Volume (Milliliters)

Density = 120 grams / 200 ml

Density = .60 grams per ml

Density is less than 1 so it will float on water.

Step-by-step explanation:

Step-by-step explanation:

It is given that,

Volume of the block of oak, V = 200 cc

Mass of the block of oak, m = 0.12 kg = 120 grams

The density of any substance is given by mass per unit volume. mathematically, it is given by :

[tex]d=\dfrac{m}{V}[/tex]

[tex]d=\dfrac{120\ g}{200\ cm^3}[/tex]

[tex]d=0.6\ g/cm^3[/tex]

So, the density of the block of oak is [tex]0.6\ g/cm^3[/tex]. The density of water is [tex]1\ g/cm^3[/tex]. So, it will float on water as the density of the block of oak is less than water.

Imagine math
I need help
Algebra 2
Leave answers from left to right thank you

Answers

Finally, we'll drag the corresponding domain description into the box under each graph based on our analysis.

For the first graph, drag "all real numbers".For the second graph, drag "all real numbers except [tex]\( x = -3 \)[/tex] and [tex]\( x = 3 \)[/tex]".For the third graph, drag "all real numbers between -3 and 3".

To answer the question presented in the image, we need to match each graph with its corresponding domain. Here's how to determine the domain for each graph step by step:

1. Examine the first graph:

Look at where the graph exists along the x-axis. If the graph covers the entire x-axis without any breaks, then the domain is all real numbers. If there are breaks or gaps, note the intervals where the graph does not exist.

2. Examine the second graph:

Repeat the process, looking for gaps along the x-axis.Check if the graph is only above or below the x-axis to see if it's only positive or negative real numbers. Look for vertical lines that the graph might approach but not touch (asymptotes), which would indicate values that are not included in the domain.

3. Examine the third graph:

 Again, look for any breaks along the x-axis.  Determine if the graph is bounded within a certain range on the x-axis.

Now, let's apply this process to each graph in the uploaded image:

First Graph: The graph covers all x-values without any breaks, so its domain is "all real numbers".Second Graph: The graph has a break at [tex]\( x = -3 \)[/tex] and [tex]\( x = 3 \)[/tex], so the domain is "all real numbers except [tex]\( x = -3 \)[/tex] and [tex]\( x = 3 \)[/tex]".Third Graph: The graph exists only between [tex]\( x = -3 \)[/tex] and [tex]\( x = 3 \)[/tex], so the domain is "all real numbers between -3 and 3".

Which number is less than -3 or greater than 5?

Answers

Answer:

4

Step-by-step explanation:

Final answer:

To find numbers less than -3 or greater than 5, we consider numbers to the left of -3 and to the right of 5 on the number line.

Explanation:

To find the numbers that are less than -3 or greater than 5, we can consider numbers that are to the left of -3 on the number line or to the right of 5. Any number less than -3 will be represented by a point to the left of -3, and any number greater than 5 will be represented by a point to the right of 5. This means that any number less than -3 or greater than 5 will include all the numbers from negative infinity to -3, and all the numbers from 5 to positive infinity.

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LAST ONE PLS HELP

Adding which of the following ordered pairs to the set {(1,-2), (0,4), (2,-3)} would make it not a function?

A. (-1, -2)
B. (3, 5)
C. (0, 2)
D. (-2, 1)

Answers

It's D.

It might be wrong, but if i was to answer, this is what i would put.

Answer: Hello there!

your set is  {(1,-2), (0,4), (2,-3)} where the pairs have the form (x,y)

You want to know with pair you need to add to this set in order to make it "not a function"

The priority rule for a function is the unicity; this means that each value of x has only one value of y associated; or:

if f(x) = y1 and f(x) = y2, then y1 = y2

(notice that a given value of y can be related to different values of x; for example the function f(x) = x^2 has the same y value for x and -x)

Then the problem is if we add the pair (0,2), of option C.

because we already have a pair with the value of x = 0, in the form of (0,4), and these two pairs would have a different value of y for the same value of x, then this set doesn't represent a function anymore.

Then the correct option is C

3/2x - 2/3x=2
I need the answer for this, please. And with steps on how you got the answer because I dont understand it. Find the value for x

Answers

Answer

[tex]x = 0 \: or \: 4.17 \times {10}^{ - 1} [/tex] ( 5 /12 )

[tex] \frac{3}{2x} - \frac{2}{3x} = 2[/tex]

multiplying the denominators to get the L.C.M since there is no common factor.

[tex]2x \times 3x = 6 {x}^{2} [/tex]

as the L.C .M

so now the general equation becomes

[tex] \frac{ \frac{3}{2x} - \frac{2}{3x} }{6 {x}^{2} } = 2[/tex]

[tex] \frac{9x - 4x}{6 {x}^{2} } = 2[/tex]

[tex]5x = 6 {x}^{2} \times 2[/tex]

[tex]5x = 12 {x}^{2} [/tex]

[tex]12 {x}^{2} - 5x = 0[/tex]

factorizing x

[tex]x(12x - 5) = 0[/tex]

[tex]x = 0[/tex]

[tex]12x - 5 = 0[/tex]

[tex]12x = 5[/tex]

[tex]x = \frac{5}{12} [/tex]

[tex]x = 0.416[/tex]

[tex]x = 4.17 \times {10}^{ - 1} [/tex]

If the points (0,0), (-1, 1), and (-2,2) lie on the graph of function h, then which of the following rules could represent the
function?

Answers

Answer: h(x) = |x|

Explanation:

h(0) = |0| = 0

h(-1) = |-1| = 1

h(-2) = |-2| = 2

Answer: the second one

Hope that helps

Solve the equation 5.3g+9=2.3g+15.

Answers

g=2

5.3g+9−2.3g=2.3g+15−2.3g

3g+9=15

3g+9−9=15−9

3g=6

3g/3=6/3

therefore, g=2

hope i helped ^__^

Answer:

The solution for the equation is [tex]g=2[/tex].

Step-by-step explanation:

Consider the provided equation.

[tex]5.3g+9=2.3g+15[/tex]

Subtract 2.3g from both sides.

[tex]5.3g-2.3g+9=2.3g-2.3g+15[/tex]

[tex]3g+9=15[/tex]

Subtract 9 from both sides.

[tex]3g+9-9=15-9[/tex]

[tex]3g=6[/tex]

Divide both sides by 3.

[tex]\frac{3g}{3}=\frac{6}{3}[/tex]

[tex]g=2[/tex]

Hence, the solution for the equation is [tex]g=2[/tex].

joe has $4 more than Hector. Hector has $8 more than Tami. If Tami has $x, write an expression for the amount of money Joe has.​

Answers

Answer: The answer to your question should be ($x +$8) + $4

Step-by-step explanation:

First of all ignore the dollar sign. It’s irrelevant to the problem and we aren’t dealing with decimals. First of all, we know that Hector has $8 more than Tami and Joe has $4 more than Hector so first we need to find how much money Hector has. Since Hector has $8 more than Tami and we know that Tami has $x we $x+$8 is Hectors amount of money. Since Joe has $4 more than Hector and we know Hectors money is $x + $8 Joe’s money is ($x+$8) + $4.

Find the value of y for which a the values of 5y+3 and 36–y are equal

plzzzz

Answers

Answer:

11/2

Step-by-step explanation:

5y+3=36-y

1) Subtract 3 from both sides:

5y=33-y

2) Add y to both sides:

6y=33

3) divide both sides by 6:

y=33/6

4) Simplify the fraction:

11/2

The value of y for which the values of 5y+3 and 36–y are equal = 11 / 2.

How to find the Value of the equation?

Given:

5y+3 and 36-y

To find:

the value of y.

Step 1

Let the equation be

5y+3 = 36-y

Subtract 3 from both sides of the above equation

5y+3-3 = 36-y-3

Simplifying the equation, we get

5y = -y+33

Step 2

Adding y to both sides

5y+y = -y+33+y

Simplify

6y = 33

Divide both sides by 6, then we get

6y / 6 = 33 / 6

Simplify

y =11 / 2

Therefore, the correct answer is y = 11 / 2.

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HELPPPPPP!!! Nathan was assigned the task of calculating the density of a substance.He measured the volume and found it to be 300cm3. the mass of the substance was 520g.what was the density?A. 2.0g/cm^3B. 1.7g/cm^3 C. 1.0g/cm^3D. 0.7 g/cm^3E. 1.9 g/cm^3 i need the answers for #8-10 Find the vertex of this parabola:y = -5x2 - 10x - 15Enter the correct answer. Two joggers are running with constant speed in opposite directions around a circular lake. One jogger runs at a speed of 2.15 m/s; The other runs at a speed of 2.55 m/s. The track around the lake is 300m long, and the two joggers pass each other at exactly 3:00 PM. How long is it before the next time the two joggers pass each other again? State how many imaginary and real zeros the function has.f(x) = x4 - 15x2 - 16 4 imaginary; 0 real 3 imaginary; 1 real 2 imaginary; 2 real 0 imaginary; 4 real solve the following math problems, round appropriately according to sig. fig. rules. 84.9 64 When negotiations result in matters of dispute, the party seeking contract termination must notify the _____ and the appropriate state mediation agency within thirty days from giving the notice to bargain. If your working thesis is "Volunteering with community centers provides no benefit to young adults," but your research shows that, in fact, there are many benefits to youth volunteerism, how could the thesis statement be revised to reflect the research? Volunteering is not important. Young adults should volunteer at community centers for a number of reasons. Volunteering at community centers provides a number of benefits to young adults, the most important of which is increased self-esteem. Young adults should volunteer at community centers Which individual activities andchoices do you find most harmful to the environment andwhy? 8a+ 5 - 10a -11 simplify by combining like terms A client with a diagnosis of pernicious anemia comes to the clinic and reports numbness and tingling in the arms and legs. What do these symptoms indicate?A) Loss of vibratory and position sensesB) Neurologic involvementC) Severity of the diseaseD) Insufficient intake of dietary nutrients What is the time traveled by a pulse over a distance of lcm in air (n=1) and in 1cm of glass (n 1.5)? What is the difference in picoseconds? What was an argument used in favor of dropping atomic bombs on japan As a train accelerates away from a station, it reaches a speed of 4.6 m/s in 5.2 s. If the train's acceleration remains constant, what is its speed after an additional 7.0 s has elapsed? Express your answer using two significant figures. Naturally occurring indium has two isotopes, indium-113(112.9040580 amu) and Indium-115 (114.9038780 amu. The atomic mass of indium is 114.82 amu. What is the percent of indium-115? a)4.32% b)48.4% c)95.7% d)0.973% Yates v. U.S. 135 S.Ct. 1074 (2015) FACTS: John Yates, a commercial fisherman, caught undersized red grouper in federal waters in the Gulf of Mexico. To prevent federal authorities from confirming that he had harvested undersized fish, Yates ordered a crew member to toss the suspect fish into the sea. Yates was charged with obstruction of justice through destruction of the small red grouper fish. DECISIONS BELOW: Yates was convicted and appealed. His conviction was upheld. He appealed to the U.S. Supreme Court. ISSUE ON APPEAL: Is the release of fish back into the sea obstruction of justice? DECISION: A split court held that the fish were not "tangible objects" for purposes of the obstruction of justice statute. The court held that the statute was passed to cover files and electronic records and not tangible objects such as fish. The court held that the statute was passed in the wake of financial and ethical collapses in companies and was not intended to have generic application. It was directed at electronic files and documentation, not tangible objects such as fish. Using information from academic sources, answer the following questions in 1000 words (minimum): i.Why does the dissent think the majority made the decision it did? 1000 words (minimum) required and it is Legal, Ethical, and Social Environment subject. A solution is saturated when 25.0 grams of the solute is dissolved in 100.0 grams of solvent. When a new solution is made that has 40.0 grams of solute dissolved in 160 grams of solvent, assuming a constant temperature, classify the new solution as: A blog is Group of answer choices a character in Lineage, a popular on-line game. a personal journal kept on the Web. a person who assumes a false identity in a chat room. a special symbol visible on displays that show Unicode characters. the Web version of a "couch potato." A certain first-order reaction (Aproducts) has a rate constant of 8.10103 s1 at 45 C. How many minutes does it take for the concentration of the reactant, [A], to drop to 6.25% of the original concentration? Express your answer with the appropriate units. Consider a sequential game between a shopkeeper and a haggling customer. The party who moves first chooses either a high price ($50) or low price ($20) and the second mover either agrees to the price or walks away from the deal and neither party gets anything. Ignore costs and assume the customer values the item at $60. If the shopkeeper goes first and quotes a low price, what is the best response of the customer? (A) Walk away from the deal (B) Accept the low price happily (C) Laugh at the storeowner (D) Slam the storeowners door on the way out