given T(-5,8,3) and M(-2,-1,-6) find the ordered triple that represents TM. Then find the magnitude of TM.

Answers

Answer 1

Answer:

TM = (3,-9,-9)

The magnitude of TM = 3√19

Step-by-step explanation:

Given T=(-5,8,3) and M = (-2,-1,-6)

TM is the difference between the vector M and the vector T

So,

TM = M - T = (-2,-1,-6) - (-5,8,3) = (-2+5 , -1-8 , -6-3) = (3,-9,-9)

The magnitude of TM = The distance of TM = [tex]\sqrt{3^2+(-9)^2+(-9)^2}=\sqrt{9+81+81}=\sqrt{171} = \sqrt{9*19} =3\sqrt{19}[/tex]

So, TM = (3,-9,-9) and |TM| = 3√19


Related Questions

suppose f(x)=x^2-2 find the graph of f(1/2x)

Answers

Answer:

graph g(x)=1/4 x^2 - 2

Step-by-step explanation:

You are to replace x with (1/2x) in the expression x^2-2

So you have (1/2x)^2-2

1/4 x^2-2

Graph some points for g(x)=1/4 x^2-2

The vertex is (0,-2) and the parabola is open up.

I would graph 2 more points besides the vertex

x   |  g(x)                     ordered pairs to graph

-----------                         (-1,-1.75) and (0,-2) and (1,-1.75)

-1        -1.75

0         -2

1         -1.75

Comment has been deleted

When probability is not found by considering all possible outcomes, but by testing and experimentation, it is called _____ probability.

Answers

Answer:

Step-by-step explanation:

Observational probability

PLEASE HELP ME!!!
Find p(–5) and p(3) for the function p(x) = 2x5 – 9x4 – 2x2 + 12x – 2. Question 8 options: –11,915; –251 –4,487; –551 –11,985; –225 –11,987; –227

Answers

Answer:

p(-5)=-11,987

p(3)=-227

Step-by-step explanation:

To find the value of the function p(-5) just substitute x=-5 into the function expression instead of x:

[tex]p(-5)=2\cdot (-5)^5-9\cdot (-5)^4-2\cdot (-5)^2+12\cdot (-5)-2=\\ \\=-6,250-5,625-50-60-2=-11,987[/tex]

To find the value of the function p(3) just substitute x=3 into the function expression instead of x:

[tex]p(3)=2\cdot 3^5-9\cdot 3^4-2\cdot 3^2+12\cdot 3-2=\\ \\=486-729-18+36-2=-227[/tex]

Answer with Step-by-step explanation:

We are given a function:

[tex]p(x) = 2x^5-9x^4-2x^2+12x-2[/tex]

We have to find the value of p(-5) and p(3)

[tex]p(-5) = 2\times (-5)^5-9\times (-5)^4-2\times (-5)^2+12\times (-5)-2\\\\=-6250-5625-50-60-2\\\\=-11987[/tex]

[tex]p(3) = 2\times 3^5-9\times 3^4-2\times 3^2+12\times 3-2\\\\=486-729-18+36-2\\\\=-227[/tex]

Hence, p(-5)= -11987

and p(3)= -227

Points A and B have coordinates (3,1,2) and (1,-5,4) respectively. Point C lies on line AB such that AC:BC=3:2. Find position vector of Point C.

Final answer is (-3,-17,8)

Answers

Answer:

The position vector of point C is <-3 , -17 , 8> or -3i - 17j + 8k

Step-by-step explanation:

* Lets revise how to solve the problem

- If the endpoints of a segment are (x1 , y1 , z1) and (x2 , y2 , z2), and

 point (x , y , z) divides the segment externally at ratio m1 :m2, then

 [tex]x=\frac{m_{1}x_{2}-m_{2}x_{1}}{m_{1} -m_{2}},y=\frac{m_{1}y_{2}-m_{2}y_{1}}{m_{1}-m_{2}},z=\frac{m_{1}z_{2}-m_{2}z_{1}}{m_{1}-m_{2}}[/tex]

* Lets solve the problem

∵ AB is a segment where A = (3 , 1 , 2) and B = (1 , - 5 , 4)

∵ Point C lies on line AB such that AC : BC=3 : 2

∵ From the ratio AC = 3/2 AB

∴ C divides AB externally

- Lets use the rule above to find the coordinates of C

- Let Point A is (x1 , y1 , z1) , point B is (x2 , y2 , z2) and point C is (x , y , z)

 and AC : AB is m1 : m2

∴ x1 = 3 , x2 = 1

∴ y1 = 1 , y2 = -5

∴ z1 = 2 , z2 = 4

∴ m1 = 3 , m2 = 2

- By using the rule above

∴ [tex]x=\frac{3(1)-2(3)}{3-2}=\frac{3-6}{1}=\frac{-3}{1}=-3[/tex]

∴ [tex]y=\frac{3(-5)-2(1)}{3-2}=\frac{x=-15-2}{1}=\frac{-17}{1}=-17[/tex]

∴ [tex]z=\frac{3(4)-2(2)}{3-2}=\frac{12-4}{1}=\frac{8}{1}=8[/tex]

∴ The coordinates fo point c are (-3 , -17 , 8)

* The position vector of point C is <-3 , -17 , 8> or -3i - 17j + 8k

Research scientists need a certain type of bacteria to conduct an experiment. There are 2,500 bacteria in a certain culture. The culture grows at a rate of 25% daily. The scientists needs at least 10,000 bacteria to conduct an experiment. What is the least number of days they need to wait for the bacteria culture to reach a quantity of 10,000? (Hint: use a guess-and-check method to determine the lowest number of days that satisfy the requirement.)

Answers

Answer:

  7 days

Step-by-step explanation:

At 25% per day, it will take approximately 3 days to double the population, so approximately 6 days for the population to quadruple. Checking that number, we find it is not quite enough for the experiment, so another day is required.

"Guess and check" as a method of solution works especially well if you have an automated checker to evaluate your guess. A graphing calculator or spreadsheet can work well for this.

_____

We guess 3 days as the doubling time using the "rule of 72" that says the product of percentage and doubling time is about 72. That is, 72/25 ≈ 3. (This is only a very rough approximation of doubling time, best for rates near 8%.)

. Solve the following system of equations: 1. y - 3x + 15 = 10

2. 6 - 4x = y

Answers

The first equation can be further simplified so first do that by subtracting 15 to both sides

y - 3x + (15 - 15) = 10 - 15

y - 3x = -5

We know from the second equation that y is 6 - 4x so in the equation y - 3x = -5 plug in 6 - 4x for y

(6 - 4x) - 3x = -5

6 - 4x - 3x = -5

Combine like terms

6 - 7x = -5

(6 - 6) - 7x = -5 - 6

-7x = -11

Isolate x

-7x/-7 = -11/-7

x = 11/7

To solve for y plug in 11/7 in for x in the equation 6 - 4x = y

6 - 4(11/7) =y

6 - 44/7 = y

y = -2/7

so...

(11/7 , -2/7)

Hope this helped!

~Just a girl in love with Shawn Mendes

1.) Solving for X problem 1#

y-3x+15=10

-3x+15-15=10-15-y

-3x=-y-5

-3x/-3=-y-5/3

x=(-y-5)/3

2.) Solving for Y problem 1#

y-3x+15=10

y-3x+3x+15-15=10-15+3x

y=3x-5

1.) Solving for X problem 2#

6-4x=y

-4x+6-6=y-6

-4x/4=y-6/4

x=(y-6)/4

2.) Solving for Y problem 2#

6-4x=y

y=-4x+6

By what factor does the area change if one diagonal is doubled? Explain.

Answers

The area of deltoid is defined by formula:

[tex]A=\dfrac{e\cdot f}{2}[/tex]

Where e and f are diagonals.

If you were to double the size of either one. Let's say f. You would result with:

[tex]A=\dfrac{e\cdot2f}{2}=e\cdot f[/tex]

Which means if either of diagonals double in length the area of deltoid will be twice as big as it was before.

Hope this helps.

r3t40

the kite, which looks more like a rhombus but being called a kite, will look like the one in the picture below.

now, as you see in the picture, the kite is really 4 congruent triangles, each with a base of 2.5 and a height of 5, so their area is

[tex]\bf \stackrel{\textit{area of one triangle}}{\cfrac{1}{2}(2.5)(5)}\implies 6.25\qquad \qquad \stackrel{\textit{area of all four triangles}}{4\left[ \cfrac{1}{2}(2.5)(5) \right]}\implies 25 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{doubling the base or height}}{4\left[ \cfrac{1}{2}(2.5)(5)\underline{(2)} \right]}\implies \stackrel{\textit{the area is twice as much as the original}}{\underline{(2)}~~\left[ 4\left[ \cfrac{1}{2}(2.5)(5) \right] \right]}[/tex]

The LAST QUESTION PLEASE HELP
The position d of a block that is attached to a spring is given by the formula d=6cos(pi/2 t) where t is in seconds. What is the maximum distance of the block from its equilibrium position (the position at which d = 0)? Find the period of the motion.

Answers

Step-by-step explanation:

Waves have the form:

y = A sin (2π/T x + φ) + B

where A is the amplitude (the distance from the center of the wave to the max or min),

T is the period (time it takes for one cycle),

φ is the phase shift (moves the wave left or right),

and B is the offset (moves the wave up or down).

This can also be written with cosine.

Here, we have d = 6 cos(π/2 t).

The amplitude is A = 6, so the maximum distance from the equilibrium position is 6 units.

The period is:

2π / T = π/2

T = 4

So the period is 4 seconds.

How many combinations of 7 candidates can fill 3 vacancies on a city council?

Answers

Answer:

35 combinations

Step-by-step explanation:

You have to use the formula for finding combinations in probability.  It looks like this:

₇C₃ = [tex]\frac{7!}{3!(7-3)!}[/tex]

so that gives you

₇C₃ = [tex]\frac{7*6*5*4!}{3*2*1*4!}[/tex]

The 4 factorials cancel each other out, and when you do the math, you get 210/6.  That divides evenly into 35.  So there are 35 combinations.

Find all solutions of the equation. leave answers in trigonometric form x^3-8=0 2cis

Answers

[tex]x^3-8=0[/tex]

[tex]x^3=8=8\mathrm{cis}\,0^\circ[/tex]

By DeMoivre's theorem, we have

[tex]x=8^{1/3}\mathrm{cis}\left(\dfrac{0^\circ+360^\circ k}3\right)[/tex]

with [tex]k=0,1,2[/tex]. Then we have three solutions,

[tex]x=2\mathrm{cis}\,0^\circ=2[/tex]

[tex]x=2\mathrm{cis}\,120^\circ[/tex]

[tex]x=2\mathrm{cis}\,240^\circ[/tex]

Find four solutions of the given function. Write the solutions as ordered pairs.



4x – y = 4

Answers

Final answer:

The four solutions to the function 4x - y = 4 are determined by selecting different x values and calculating the corresponding y values, resulting in the ordered pairs (0, -4), (1, 0), (2, 4), and (3, 8).

Explanation:

To find four solutions to the function 4x – y = 4, we need to choose four different values for x and compute the corresponding y values.

For example, let's choose x = 0, x = 1, x = 2, and x = 3. Substituting these values into the equation:

For x = 0: 4 * 0 - y = 4, so y = -4 For x = 1: 4 * 1 - y = 4, so y = 0 For x = 2: 4 * 2 - y = 4, so y = 4 For x = 3: 4 * 3 - y = 4, so y = 8

So the four solutions (order pairs) are (0, -4), (1, 0), (2, 4), and (3, 8).

Learn more about Finding solutions here:

https://brainly.com/question/33750042

#SPJ2

To find solutions for the given equation 4x - y = 4, pick x values and plug them into the equation to solve for y, resulting in ordered pairs like (0, -4) and (1, 0).

Given equation: 4x - y = 4

Choose x values and plug them into the equation to solve for y.

Write the solutions as ordered pairs (x, y).

Four solutions are (0, -4), (1, 0), (2, 4), and (3, 8).

Solve using elimination PLEASE I NEED HELP!!! IT WOULD REALLY MEAN A LOT IF ANYONE CAN ANSWER THIS! 16 POINTS!!!
2x+4y=1
x-4y=5

Answers

Answer:

  (x, y) = (2, -3/4)

Step-by-step explanation:

The point of the "elimination" technique is to combine the equations in a way that eliminates one of the variables. Sometimes this involves multiplying one or both of the equations by constants before you add those results together. In any event, the first step is to look at the coefficients of the variable terms to see if there is a simple combination of them that will result in zero.

The y terms have coefficients that are opposites of each other (4, -4), so you can simply add the two equations to eliminate y as a variable.

  (2x +4y) +(x -4y) = (1) +(5)

  3x = 6 . . . . . simplify

  x = 2 . . . . . . divide by 3

Now, you find y by substituting this value into one of the equations. I would choose the equation with the positive y-coefficient:

  2(2) +4y = 1

  4y = -3 . . . . . . subtract 4

  y = -3/4

Then the solution is ...

  (x, y) = (2, -3/4)

_____

A graphing calculator confirms this solution.

The probability that a random variable is greater than or equal to z standard deviations from the mean in a standard normal distribution is p%. What can be said with certainty about the probability that the random variable is less than or equal to –z standard deviations from the mean?

Answers

Answer:

The right answer is B: The probability is equal to p%.

Step-by-step explanation:

Choose the correct reason for each algebraic statement. A. Subtraction Property of Equality B. Combine like terms C. Distributive Property D. Division Property of Equality 3.__ 4.__ 5.__ 6.__

Answers

Answer:

b

Step-by-step explanation:

hope this helps

You watch a roulette wheel spin 8 consecutive times and the ball lands on a red slot each time. what is the probability that the ball will land on a red slot on the next spin?

Answers

Answer:

0.5

Step-by-step explanation:

A roulette wheel is half red and half black.  Each spin is independent: past spins don't change the probability of future spins.  So even if you got 8 reds in a row, the probability of the next spin being red is still 50/50.

Since we have computer algebra systems that can solve polynomial division problems for us, why is it necessary to learn how to do these things by hand?

Answers

Answer:

Probably because learning to do polynomials by hand boosts understanding of the topic and improves general algebraic solving ability,both of which are required in further topics like advanced calculus and algebra

Final answer:

Learning polynomial division by hand is crucial for understanding concepts, enhancing problem-solving skills, and fostering critical thinking in mathematics.

Explanation:

The importance of learning polynomial division by hand despite the availability of computer algebra systems lies in developing a deep understanding of the underlying concepts, fostering problem-solving skills, and enabling visualization of geometric interpretations.

By manually carrying out mathematical operations, students can better grasp the logic behind the processes, which aids in building a strong foundation for more complex mathematical tasks.

Furthermore, mastering hand calculations equips students with the ability to perform quick mental math, apply critical thinking skills, and comprehend the practical applications of the mathematical concepts.

On a number line the directed line segment from Q to S has endpoints Q at -14 and S at 2. Point R partitions the directed line segment from Q to S in a 3:5 ratio.

Which expression correctly used the formula, to find the location of point R?

Answers

Answer:

Step-by-step explanation:

The distance from Q to S is 2 - (-14), or 16.

We start at point Q.  Note how 3 and 5 add  up to 8, which allows us to write:

R = Q + (3/8)(16), or R = -14 + 6, or R = -8.

From R to S it is (5/8)(16), or 10 units.

The directed line segment is partitioned into segments of lengths 6 and 10, whose combined length is 16, as expected.

Answer:

14/5 or A

Step-by-step explanation:

I just took this assignment.

Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal.

Answers

The slope is 2/3

The rise from one point to another is 2, and the run is 3 and since slope is rise/run, the slope is 2/3

Answer: The slope of the line is: [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The slope can be calculated with this formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

You need to choose two points of the line. You can pick the point (6,2) and the point (-6,-6)

You can identify that:

[tex]y_2=-6\\y_1=2\\x_2=-6\\x_1=6[/tex]

Now, you must substitute these values into the formula:

[tex]m=\frac{-6-2}{-6-6}[/tex]

With this procedure you get that the the slope of the line on the graph is:

[tex]m=\frac{-8}{-12}[/tex]

[tex]m=\frac{2}{3}[/tex]

Need help with a math question

Answers

Answer:

There are 10 possible ways the student can schedule the three classes

Step-by-step explanation:

The college student is choosing 3 classes to take during the first, second, and third semester from 5 electives.

Therefore, the student is choosing 3 items from a total of 5 and the order is not of key concern here. This is thus a combination problem;

5C3 = 10

read as 5 choose 3

The above mathematical operation can be performed using any modern calculator.

Help! the file is attached

Answers

Answer:

924/5 ft/s369.6 ft

Step-by-step explanation:

126 mi/h = (126 mi)/(1 h)·(5280 ft)/(1 mi)·(1 h)/(3600 s) = (126·5280/3600) ft/s

126 mi/h = 184.8 ft/s = 924/5 ft/s

__

In 2 seconds, the parachutist falls ...

  (184.8 ft/s)·(2 s) = 369.6 ft

The rabbit population in a small zoo starts with 150 rabbits. The rabbit population is decreasing at a rate of 15% each week. Which of the following represents the total number of fish, F(x), after x number of weeks. (4.2)
a. F(x) = 150( .15)^x


b. F(x) = 150 (1.15)^x


c. F(x) = .85 (150)^x


d. F(x) = 150 (.85)^x


e. None of the above.

Answers

Answer:

e. none of the above

Step-by-step explanation:

I had this question as well and if you look closely, the question describes the function in terms of rabbits, when the actual question describes fish. I believe that because the question is asking for fish when only information on rabbits has been given, the only logical answer would be e. none of the above...

Final answer:

The correct formula representing the total number of rabbits after x weeks, with a starting population of 150 and a decrease of 15% per week, is F(x) = 150 (0.85)ˣ. The correct option is d.

Explanation:

The rabbit population in a small zoo starts with 150 rabbits and decreases at a rate of 15% each week. To represent the total number of rabbits, F(x), after x number of weeks, we need to find the correct formula. A decrease of 15% per week is the same as the population being at 85% of the previous week's population (100% - 15% = 85%). So, the correct formula would be the initial population multiplied by the weekly percentage to the power of the number of weeks. Therefore, the correct formula is F(x) = 150 (0.85)ˣ, which corresponds to option d.



The perimeter of a rectangular garden is 64 centimeters. The length of the garden is three times the width. Find the length
and the width

Answers

Answer:

width 8 centimeters

length 24 centimeters

Step-by-step explanation:

L=3W : equation a       .

W=64/xW : equation b .

x=2L+2W                       .

 =2(3W)+2W                  .

x=8W                              .

Answer:

Length = 24 cm

and, Width = 8 cm

Step-by-step explanation:

It is given that,

Length = 3 × (width)

⇒ L = 3W        → (1)

Also, since perimeter = 64 cm

And perimeter of rectangular garden = 2(L + W) = 64

From equation (1)

2(3W + W) = 64

2 × 4W = 64

⇒ 8W = 64

⇒ W = 8 cm

Putting value in equation (1)

L = 3 × 8 = 24 cm

thus, Length = 24 cm

and, Width = 8 cm

I need help


You find 20 books that you checked out from the library as you are cleaning your room. You need to take 4 books back to the library, and you want to set them aside in a pile on your desk.  


How many ways can 4 of the 20 books be arranged in a pile?

Answers

Answer:

the answer is 20P4 = 4845

Step-by-step explanation:

Answer:

There are 20 ways to pick the first book, 19 ways for the second

Step-by-step explanation:

If order of the 4 books does not matter then

₂₀C₄ = 20! / (20-4)!4! = 20!/(16!*4!) = 4845 ways

A missile is launched from the ground. Its height,h(x) can be represented by a qyadratic function in terms of time, x, in seconds after 1 second the missile is 103 feet in the air; after 2 seconds it is 192 feet in the air. Find the height in feet of the missile after 5 seconds in the air

Answers

Answer:

  375 ft

Step-by-step explanation:

The increase in height in the 1st second is 103 ft. In the 2nd second, it is 192-103 = 89 ft, a decrease of 14 ft. In the next three seconds, the increases in height can be expected to be ...

  89 -14 = 75 ft

  75 -14 = 61 ft

  61 -14 = 47 ft

for a total increase in height over those 3 seconds of ...

  75 + 61 + 47 = 183 ft

Then the height  after 5 seconds in the air is ...

  192 ft + 183 ft = 375 ft

_____

You can model the height function with the quadratic equation ...

  h(t) = at^2 +bt

We need to find the values of "a" and "b", which we can do by substituting the given data point values. The given data is ...

  h(1) = a + b = 103

  h(2) = 4a + 2b = 192

Subtracting twice the first equation from the second, we get

  (4a +2b) -2(a +b) = (192) -2(103)

  2a = -14 . . . . . simplify

  a = -7 . . . . . . . divide by 2

  b = 103 -a = 110 . . . . find b using the first equation

Then the quadratic model of height is ...

  h(t) = -7t^2 +110t

and the height at 5 seconds is ...

  h(5) = -7·25 +110·5 = 375 . . . feet


4. Divide –50m3n5 by –5m2n2.

A. 10mn3
B. –45m5n7
C. –10mn3
D. 45m5n7

Answers

Answer:

A. 10mn³

Step-by-step explanation:

To divide numbers in power form but to the same base, we simply subtract the powers and then divide the coefficients of the the bases.

-50m³n⁵ /-5m²n²

=10m⁽³⁻²⁾ n⁽⁵⁻²⁾

=10mn³

A negative number divided by a negative number = a positive number.

Which equation is equivalent to
log5x^3 - logx^2 = 2?

Answers

Answer:

the second option and x=20

Answer:

the second one and then x=20

Step-by-step explanation:

What he said. It's correct.

Use the figure to answer the questions

a. Explain why the triangles are similar

Geometry - Shaping Sheet
Triangle ______ and Triangle ______ are similar by the __________ postulate. This postulate works because __ (explain your reasoning here) ________.
*Use this format to appropriately write your answer below this box.

b. Find the value of x

Answers

Answer:

A. EAB and EDC by AAA because congruent corresponding angles lead to similar triangles regardless of side length. This postulate works because the parallel lines cause angle a and angle d to be congruent as well as angle b being congruent to angle c, and vertical angle e is congruent.

Step-by-step explanation:

Given the parallelogram ABCD, solve for X when angle A equals (30+ 5x)° and angle D equals (15+10x)° degrees. Also, sides AB and CD opposite each other.

Answers

Answer:

  x = 9

Step-by-step explanation:

Adjacent angles A and D are supplementary:

  (30 +5x)° +(15 +10x)° = 180°

  15x +45 = 180 . . . . . collect terms, divide by °

  15x = 135 . . . . . . . . . subtract 45

  135/15 = x = 9 . . . . . divide by the coefficient of x

The value of x is 9.

Solve log (7x + 7) = 1. Round to the nearest thousandth if necessary. 0.429 2.333 1.143 0.875

Answers

Step-by-step explanation:

log(7·x + 7) = 1

7·x + 7 = 10^1

7·x = 10 - 7

x = 3/7 = 0.4285714285

Answer:

0.429

Step-by-step explanation:

Adelia drove from her house to Townsville one evening. Her distance was 180 miles. She left home at 6:27 and was at townsville at 6:42 what was her speed

Answers

Answer: 720 mph or 12 miles a minute

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

(I actually have the problem in front of me, and I think you switched the minute and hour hands on the clock)

Adel

left at 5:30 and arrived at 8:30. That’s 3 hours, which is 180 minutes. 180/180 = 1 mile per minute

60 minutes in an hour

60*1 = 60 mph

Other Questions
What is the name of the relationship between 1 and 8 Prior to 1994, Rwanda's ethnic population was composed of __________. A. a Tutsi minority and a Hutu majority B. a Hutu minority and a Tutsi majority C. an even number of Hutus and Tutsis D. a Rwandan majority with Hutu and Tutsi minorities Please select the best answer from the choices provided. A B C D HELP PLEASE! Square T was translated by the rule (x + 2, y + 2) and then dilated from the origin by a scale factor of 3 to create square T. Which statement explains why the squares are similar?A. Translations and dilations preserve side length; therefore, the corresponding sides of squares T and T are congruent.B. Translations and dilations preserve orientation; therefore, the corresponding angles of squares T and T are congruent.C. Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T are proportional.D. Translations and dilations preserve collinearity; therefore, the corresponding angles of squares T and T are congruent. Which religious group faced increased discrimination in the wake of the terrorist attacks of September 11, 2001?A. ProtestantsB. CatholicsC. MuslimsD. Jews Which statement most accurately describes the form of Montagu's poem?A. Its stanzas are set to four lines.B. Its rhythm is created by using the same number of syllables per line.c. Its story is based on inner conflict.D. Its rhyming pattern occurs in alternating lines. Which Group benefited most from the Supreme Court decision in Dred Scott v. Sanford? 20m to 21m what is the percentage change find the measurement of the indicated angle to the nearest degree Given the following statistics for women over the age of 50 entering our medical clinic: 1% actually have breast cancer 90% of the women who have breast cancer are going to get a positive test result (affirming that they have the disease) 8% of those that actually dont have the disease are going to be told that they do have breast cancer (a false positive) Whats the actual probability, if a woman gets a positive test result, that she actually does have breast cancer? Please no spam! 100 points and brainliest will be rewarded. Analyze this document by providing its HIPP: Historical context, Intended audience, authors Purpose, and authors Point of view.The two Strelow boys, Robert and George, with John Conrad, my two brothers, and I, put out into the storm for our homes. We had not gone a rod when we found ourselves in a heap, in a heavy drift of snow. We took hold of each others hands, pulled ourselves out, got into the road, and the cold north wind blew us down the road a half mile south, where the Strelow boys and John Conrad had to go west a mile or more. When they reached a bridge in a ravine, the little fellows sheltered a while under the bridge, a wooden culvert, but Robert, the oldest, insisted that they push on thru the blinding storm for their homes. In the darkness they stumbled in, and by degrees their parents thawed them out, bathed their frozen hands, noses, ears and cheeks, while the boys cried in pain.My brothers and I could not walk thru the deep snow in the road, so we took down the rows of corn stalks to keep from losing ourselves till we reached our pasture fence. Walter was too short to wade the deep snow in the field, so Henry and I dragged him over the top. For nearly a mile we followed the fence till we reached the corral and pens. In the howling storm, we could hear the pigs squeal as they were freezing in the mud and snow. Sister Ida had opened the gate and let the cows in from the field to the sheds, just as the cold wind struck and froze her skirts stiff around her like hoops. The barn and stables were drifted over when we reached there. The roaring wind and stifling snow blinded us so that we had to feel thru the yard to the door of our house. The lamp was lighted. Mother was walking the floor, wringing her hands and calling for her boys. Pa was shaking the ice and snow from his coat and boots. He had gone out to meet us but was forced back by the storm. We stayed in the house all that night. It was so cold that many people froze. Find the most common ratio 72,12,2, 1/3,1/18 1.00Given the following functions f(x) and g(x), solve (f + g)(3) and select the correct answer below:f(x) = 2x + 21g(x) = x - 240-270-210648 A pair of fair dice is tossed. Events A and B are defined as follows. A: {The sum of the numbers on the dice is 4} B: {The sum of the numbers on the dice is 11} Identify the sample points in the event A B. There are no sample points in the event A B. {(1, 4), (2, 3), (3, 2), (4, 1), (5, 6), (6, 5)} {(1, 3), (2, 2), (3, 1), (5, 6), (6, 5)} {(1, 4), (2, 2), (4, 1), (5, 6), (6, 5)} What is 1/2 X (6 X 4)+3 + 2 Please show your work A pinecone drops from a tree branch that is 20 feet above the ground. The function h = 16t2 + 20 is used. If the height h of the pinecone is in feet after t seconds, at about what time does the pinecone hit the ground? Bernoullis principle explains why birds can fly because it demonstrates how the pressure under a wing is greater than the pressure above a wing An airliner arrives at the terminal, and its engines are shut off. The rotor of one of the engines has an initial clockwise angular speed of 2000 rad/s. The engine's rotation slows with an angular acceleration of magnitude 80.0 rad/s2. (a) Determine the angular speed after 10.0 s. (b) How long does it take for the rotor to come to rest? It is not possible to prove one pair of triangles congruent and then use their congruent corresponding parts to prove another pair congruent. True or false Suppose the mass of a fully loaded module in which astronauts take off from the Moon is 10,000 kg. The thrust of its engines is 30,000 N. (a) Calculate its the magnitude of acceleration in a vertical takeoff from the Moon. (b) Could it lift off from Earth? If not, why not? If it could, calculate the magnitude of its acceleration. versity City Geometry 1.2 - CR (9/17)Equation on a circlePre-Test ActiveWhich equation represents a circle with a center at (-3,-5) and a radius of 6 units?(x - 3)2 + (-5)2 = 6(x - 3)2 + (-5)2 = 36(x + 3)2 + (y + 5)2 = 6(x+3)2 + (x + 5)2 = 36Mark this and returnSave and ExitNext