Answers
The magnitude;
Using Pythagoras theorem,
(-200)² + (-530)² = 320900
Length = √320900
= 566.5 mi
To get the angle
Tan θ = opposite/adjacent
= 200/530
= 0.3774
θ = tan^-1 (0.3774)
= 20.67
≈ 21°
The direction from the Cartesian plane is south of west.
Therefore, the magnitude and the direction will be;
About 566.5 mi, 21° south of west
Question 5.
To get the resultant of two vectors we just add the two vectors given.
This involves adding the corresponding values.
Thus, for <-6,5> and <6,-5>
Resultant vector = <(-6+6),(5+-5>
= <0,0>
Related Questions
During a sale, all video games $10 off. Rebecca used a coupon to get an additional $15 off her purchase. If the original price of a video game was $60, how much did Rebecca pay?
Answers
Fun Zone offers four party packages. The prices for each package are $50 more on weekends than they are on weekdays, as shown in the table below.
Party Package Rates
Package number Weekend or weekday Price
___________________________________________________________
1 weekend $160
1 weekday $110
2 weekend $180
2 weekday $130
3 weekend $230
3 weekday $180
4 weekend $300
4 weekday $250
answers:
A) It is a function because there is a price given for every package.
B) It is a function because weekend packages are always $50 more than weekday packages.
C) It is not a function because each package number has two different prices.
D) It is not a function because there are two different packages available for $180.
Answers
Option: C is the correct answer.
C) It is not a function because each package number has two different prices.
Step-by-step explanation:Function--
Function is a mapping from a set A to set B such that each element of set A is mapped to a unique number.
i.e. every element has a single image.
Here a package number has two different rates or prices.
(Since let set A is package number and set B is a price of the package. )
As element of set A has more than one image.
Hence, it is not a function.
If i= √-1 what is the value of i^3
Answers
i = sqrt(-1)
i^2 = [ sqrt(-1) ]^2
i^2 = -1
Now multiply both sides by i
i^2 = -1
i*i^2 = i(-1)
i^3 = -i
Final Answer: -i
(this is negative i)
Final answer:
To calculate i^3, we use the powers of i, where i = √-1. We find that i² = -1, and thus i³ = i² × i = -1 × i = -i.
Explanation:
The value of i to the power of 3, denoted as i3, can be determined by understanding the fundamental properties of the imaginary unit i, where i is defined as i = √-1. To find i3, we start by considering the powers of i:
i1 = i,
i2 = -1,
i3 = i2 × i = -1 × i = -i,
i4 = (i2)2 = (-1)2 = 1.
Therefore, the value of i3 is -i.
Complete the coordinate table for the given equation.
Answers
y=1,2,4,-4,-2,-1
If were to walk 15 miles today and stoped every 0.5 how many stops will I stop and rest?
Answers
15 x 2 because in one mile there would be 2 stops equals 30
=15 ÷ 0.5
=30 stops
ANSWER: 30 stops
Hope this helps! :)
Use the given set of data values to answer the question below. 32, 21, 68, 21 Which measure of central tendency would prove to be most effective in emphasizing how small the data values are?
Answers
13,006,017 in word form
Answers
find the unknown side length. simplify answers that are radicals . tell whether the side lengths form a Pythagorean triple
Answers
a²+b²=c²
In our case,
[tex](\sqrt{7})^2+b^2=(\sqrt{19})^2[/tex]
[tex]7+b^2=19[/tex]
Subtract 7 from each side:
[tex]7+b^2-7=19-7 \\b^2=12[/tex]
Take the square root of both sides:
[tex]\sqrt{b^2}=\sqrt{12}=\sqrt{4*3}=2\sqrt{3}[/tex]
Although these numbers work in the Pythagorean theorem, they are not Pythagorean triples, as they are not integers.
Solve for y 3x -4y = 12
Answers
Answer:
y = 3/4x - 4
Step-by-step explanation:
Solving for y:
3x -4y = 124y = 3x - 12y = 3x/4 - 12/4y = 3/4x - 4Which point is a reflection of point R (-2, 9) first across the y-axis and then across the x-axis?
A : (-9, -2)
B: (-2,-9,)
C: (2, -9)
D: (9, -2)
Answers
Final answer:
Explaining how to find the reflection of a point across the y-axis and then the x-axis that is option C is correct.
Explanation:
To find the reflection of point R(-2, 9) first across the y-axis and then across the x-axis, we apply the transformations for each axis separately. When reflecting across the y-axis, the x-coordinate changes sign, making it (-2, -9). Then, reflecting across the x-axis changes the sign of the y-coordinate, resulting in the final reflection at point (2, -9).
How to answer it please please please help
Answers
.. longest piece : shortest piece = 3 : 1
Then
.. longest piece : total length = 3 : (3 +1) = 3 : 4
or
.. (longest piece)/(total length) = 3/4
.. longest piece = (total length)*(3/4)
.. = (9.4 m)*(3/4)
.. = 7.05 m
.. ≈ 7.1 m . . . . . . rounded to the nearest tenth meter
What is the volume of this prism? Rectangular prism composed of unit cubes. Prism is 6 units by 9 units by 7 units. units3
Answers
________________________________________________
( 6 units) * ( 9 units) * (7 units) = (6 * 9 * 7) units³ = 378 units³ .
________________________________________________
Volume of the prism= Length x Width x Height
Let
L--------------> 6 units
W------------- > 9 units
H------------- > 7 units
then
Volume=6*9*7=378 units³
the answer is 378 units³
1. which of the following is true and radio waves?
A. they have high energies
B. they reveal hot gasses
C. they can penetrate dist clouds
D. they have short wavelengths
2. which of the following is used in medical imagery?
A. ultraviolet light
B. blue light
C. radio waves
D. X-rays (I think this is it)
3. which of the following has the longest wavelength?
A. Red light
B. radio waves
C. microwaves (I don't know if this is like the kitchen appliance or something else)
D. infrared light
Answers
Answer:
Step-by-step explanation: Sorry im late but here is answers pls brainliest
2.08 Quiz: Electromagnetic Spectrum
C) Radio waves can penetrate distant clouds, D) X-rays are used in medical imaging, and B) radio waves have the longest wavelength.
Explanation:1. C. they can penetrate distant clouds.
Radio waves have longer wavelengths than visible light, which allows them to easily pass through clouds. They are often used in weather radar to detect precipitation and study the atmosphere.
2. D. X-rays
X-rays are commonly used in medical imaging techniques such as X-ray machines and CT scans. They have higher energy than visible light and can penetrate through soft tissues, making them useful for examining bones and internal organs.
3. B. radio waves
Radio waves have the longest wavelength among the given options. They are used for various purposes, including communication, broadcasting, and studying celestial objects in radio astronomy.
Learn more about Radio waves here:https://brainly.com/question/32837450
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PLEASE HURRY
This function models the relationship between the hours worked, x, and the amount of money earned, f(x).
f(x)=10.25x
Which choices could be elements of the domain of the function? Check all that apply.
A) 5
B) 200
C) 25.5
D)14/3
E) 77 1/2
F) –10
G) –43.5
H) –113 4/5
Answers
Answer:
A) 5
B) 200
C) 25.5
D) 14/3
E) 77 1/2
Step-by-step explanation:
We have been given a function [tex]f(x)=10.25x[/tex], where, [tex]f(x)[/tex] represents the amount of money earned after x hours.
We are asked to choose the elements of the domain of the function.
Since the x represents time in hours, so negative numbers wouldn't be domain of the given function. as times cannot be negative.
Therefore, options A, B, C ,D and E are correct choices.
Answer:
The first 5 is the right answer
Step-by-step explanation:
8.73e16 in standard form
Answers
Here is your answer:
The proper answer to this question is 87300000000000000.
Here is how:
8.73e16=87300000000000000.
Your answer is 87300000000000000.
If you need anymore help feel free to ask me!
Hope this helps!
(P.S. REMEMBER E IS EXPONET OR ^)
Answer:
The standard form of the given number is [tex]8.73\times 10^{16}[/tex].
Step-by-step explanation:
Standard form of a number is a easy ways to write very small numbers and very large numbers.
In the standard form the number is written as the number lies between 1 to 10 and multiple of power of 10.
The given number is
[tex]8.73e16[/tex]
It can be written as
[tex]8.73e16=87300000000000000[/tex]
[tex]8.73e16=8.73\times 10^{16}[/tex]
Therefore the standard form of the given number is [tex]8.73\times 10^{16}[/tex].
The scatterplot below shows a set of data points.
Which point would be considered an outlier?
(1, 5)
(3, 9)
(5, 4)
(9, 1)
Answers
Answer:
Step-by-step explanation:
Definition of an outlier:
A value that "lies outside" (is much smaller or larger than) most of the other values in a set of data.
Here in the scatter plot we can see that
(3,9) deviates from other values very much.
Outlier An extreme value in a set of data which is much higher or lower than the other numbers. Outliers are to be removed to get accurate results since they have the power to affect the mean value of the data but have little effect on the median or mode of a given set of data.
That is why when outliers are present mean or mode is the better mode to measure central tendency.
A certain recipe calls for 2 2/3 cups of sugar. If the recipe is to be doubled, how much sugar should be used?
Answers
Which is then can be simplified to 5 1/3
hope it helps
Alesia , mama si bunica ei au primit , in total , 221 de martisoare . Alesia a primit de trei ori mai putine martisoare decat ama sa , insa de trei ori mai multe decat bunica. Afla cate martisoare a primit fiecare.
Answers
Alesia, her mother and grandmother received a total of 221 marshmallows. Alesia received three times less marshmallows than his mother, but three times more than his grandmother. Find out how many marshmallows each received.
Let
x--------------------> number of marshmallows received for Alexia
y--------------------> number of marshmallows received for the mother
y--------------------> number of marshmallows received for the grandmother
we know that
x+y+z=221
x=y/3----> Alesia received three times less than his mother-----> y=3x
x=3z----> Alesia received three times more than his grandmother---> z=x/3
x+y+z=221-------> x+(3x)+(x/3)=221
4x+(x/3)=221--------> (12x+x)/3=221-----> 13x= 663
x=663/13=51
y=3x----> 3*51=153
z=x/3----> 51/3=17
the answer is
Alexia received 51 marshmallows
the mother received 153 marshmallows
the grandmother received 17 marshmallows
the answer in Romanian
lăsa
x--------------------> numărul de martisoare primit pentru Alexia
y--------------------> numărul de martisoare primite pentru mama
y--------------------> numărul de martisoare primite pentru bunica
noi stim aia
x+y+z=221
x=y/3----> y=3x
x=3z----> z=x/3
x+y+z=221-------> x+(3x)+(x/3)=221
4x+(x/3)=221--------> (12x+x)/3=221-----> 13x= 663
x=663/13=51
y=3x----> 3*51=153
z=x/3----> 51/3=17
raspunsul este
Alexia a primit 51 martisoare
mama a primit 153 martisoare
bunica a primit 17 martisoare
If there are 52 cards in a deck what is the probability of drawing two cards, and getting a king both times?
Answers
There are two cases here:
Case 1: First card chosen is a queen
452∗351=1221452∗351=1221Case 2: First card chosen is not a queen.
4852∗451=162214852∗451=16221Adding both the cases, we get 1722117221 = 452452 = 113113
In a simpler case: Think about it this way: Shuffle a deck of cards randomly. The probability of drawing a queen as your second card is the same as the probability that the second card in the deck is a queen, which is clearly 4/52.
A square has an area of x^2+4x+4 square meters. Write an expression that best represents the length of one side of the square.
Answers
1) Rewrite x^2+4x+4 as the square of a binomial:
(x+2)^2
2) So now you know that (x+2)(x+2)=x^2+4x+4 (the area)
3) The length is x+2
The expression that represents the length of one side of the square is (x+2)
What is Polynomial?In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
Given,
Area of the square = [tex]x^{2} +4x+4[/tex]
Area of the square = l × l
were l is the length
Then,
[tex]x^{2} +4x+4=(x+2)(x+2)[/tex]
Hence, The expression that represents the length of one side of the square is (x+2)
Learn more about polynomial and area here
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A circle has circumference of 20.7cm. What is the area of the circle? Using 3.14
Answers
20.7=2pi*r
r=3.296 or 3.3
A=pir^2
a=34.1946 or about 34.19
Circumference = 20.7 cm
Circumference of circle= 2πr
20.7= 2×3.14×r
20.7=6.28×r
20.7/6.28= r
r= 3.29 cm
Area of circle = πr^2
Area= 3.14×3.29×3.29
Area= 33.98 cm^2
Hope it helps...!!!
What are the solutions of the system? y=6x+6y=−x2+5x+6
Answers
Answer:
Given the system of equations:
[tex]y = 6x+6[/tex] .....[1]
[tex]y = -x^2+5x+6[/tex] .....[2]
Equate these two equations we have;
[tex]-x^2+5x+6 = 6x+6[/tex]
Subtract 6 from both sides we have;
[tex]-x^2+5x= 6x[/tex]
Subtract 6x from both sides we have;
[tex]-x^2-x= 0[/tex]
⇒[tex]-x(x+1) = 0[/tex]
By zero product property we have;
⇒x = 0 and x+1= 0
⇒x = 0 and x=-1
Substitute these values in [1] we have;
For x = 0
y = 6(0)+6 = 6
for x = -1
y =6(-1)+6 = -6+6= 0
Therefore, the solutions of the given systems are, (0, 6) and (-1, 0)
The line of best fit in a scatter plot is ___________________________.
A. the most accurate trend line for the data represented.
B. how well the equation fits the model.
C. one that forms four right angles on the plane.
Answers
Which best describes the meaning of the term theorem ?
Answers
what is the slope of the line that passes through the points (2 3) and (–2 6)?
A. -3/2
B. -3/4
C. 3/4
D. 0
Answers
------------------------------------------
Work Shown
Slope Formula
m = (y2-y1)/(x2-x1)
m = (6-3)/(-2-2)
m = (3)/(-4)
m = -3/4
Basically what you do is subtract the y coordinates (6 and 3) and then do the same for the x coordinates (-2 and 2) in the same order. After subtracting, you divide the differences. Reduce the fraction if possible.
The slope of -3/4 means each time we go down 3, we move to the right 4 units. This line is going downhill as you read it from left to right.
Hello!
Answer:
B. -3/4
*The answer must have a fraction.*
Step-by-step explanation:
Slope: [tex]\frac{Y^2-Y^1}{X^2-X^1}=\frac{rise}{run}[/tex]
[tex]\frac{6-3=3}{(-2)-2=-4}=\frac{3}{-4}=-\frac{3}{4}[/tex]
Slope is -3/4
Answer is -3/4
Hope this helps!
Thanks!
-Charlie
Have a great day!
:)
:D
How do you write 3.42 in words
Answers
(06.02)A six-sided number cube labeled 1 through 6 is rolled 500 times. An odd number is rolled 325 times. Compare the experimental probability of rolling an odd number with the theoretical probability of rolling an odd number and select one of the statements below that best describes the situation.
The experimental probability and theoretical probability are the same.
The experimental probability is larger than the theoretical probability.
The experimental probability is smaller than the theoretical probability.
There is not enough information to determine the relative frequency.
Answers
Answer: Second option is correct.
Step-by-step explanation:
Since we have given that
Number of times a die rolled = 500
Number of times an odd number occurs =325
so, the experimental probability would be
[tex]\dfrac{325}{500}\\\\=0.65[/tex]
And we know that
Number of outcomes in a die = 3
Number of total outcomes = 6
So, The theoretical probability would be
[tex]\dfrac{3}{6}=\dfrac{1}{2}=0.5[/tex]
So, The experimental probability is larger than the theoretical probability.
Hence, Second option is correct.
A tree cast a shadow 21 feet long , while Enzo, who is 5 feet tall , cast a shadow 6 feet long
Answers
Lorelei filled her 5-gallon jug water. How many times could she fill her 2-quart canteen with water from the jug? Explain.
Answers
Answer: 10 times
Step-by-step explanation:
Which of the following statements is true? A 15 kg box has more inertia than a 10 kg box. Forces occur in equal and opposite force pairs. Objects in motion will keep moving at the same velocity unless acted upon by an outside force. All of the above.
Answers
Answer:
All of the above
Step-by-step explanation:
A 15 kg box has more inertia than a 10 kg box. --TRUE
Inertia is a property of matter related to its mass. The more mass an object has, the greater its inertia. S o the statement is correct since 15 kg is greater in mass than 10 kg therefore it has more inertia.
Forces occur in equal and opposite force pairs. -- TRUE
This statement is correct and is known as Newton's third law. Which tells us that for every force of action there is a reaction force that is equal in magnitude but opposite in direction.
Objects in motion will keep moving at the same velocity unless acted upon by an outside force. -- TRUE
This is Newton's first law of motion, it tells us that an object will retain its state of rest or movement as long as there is no resulting force or external force acting on it.