Answers
Answer:
Step-by-step explanation:
Terminal points of vector u has been given as (4, 0), (9, 4).
Therefore, vector u can be represented by,
[tex]\vec{u}=\vec{u_2}-\vec{u_1}[/tex]
[tex]\vec{u}=(9i+4j)-(4i)[/tex]
[tex]\vec{u}=5i+4j[/tex]
And the magnitude of the vector u will be,
|| u || = [tex]\sqrt{5^2+4^2}[/tex]
= [tex]\sqrt{41}[/tex]
Slope of vector passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is defined by the expression,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of vector u will be,
Slope = [tex]\frac{4-0}{9-4}[/tex]
= [tex]\frac{4}{5}[/tex]
Similarly, terminal points of vector v are (-7, 1) and (3, 9).
So the vector v will be,
[tex]\vec{v}=(3i+9j)-(-7i+1j)[/tex]
[tex]\vec{v}=(3i+7i)+(9j-1j)[/tex]
[tex]\vec{v}=10i+8j[/tex]
Therefore, magnitude of vector v will be,
|| v || = [tex]\sqrt{10^2+8^2}[/tex]
= [tex]\sqrt{164}[/tex]
= [tex]2\sqrt{41}[/tex]
Slope of vector v = [tex]\frac{9-1}{3+7}[/tex]
= [tex]\frac{8}{10}[/tex]
= [tex]\frac{4}{5}[/tex]
Related Questions
A ship takes 5 hours to sail 75 kilometrs. What is its
speed?
Answers
A ship takes 5 hours to sail 75 kilometres. What is its speed ?
Answer:-Given:-Distance = 75 kilometres.
Time = 5 hours.
To Find:-It's speed.
Solution:-We know,
[tex] { \boxed{\bf{\rm \red {Speed \: = \frac{Distance}{Time}}}}} [/tex]
So, Speed = [tex] \bf \frac{75}{5} [/tex]
Speed = [tex] \bf 15 [/tex]
It's speed is 15 km/hr. [Answer]Step-by-step explanation:
[tex] \: \: here \: is \: your \: solution \\ \\ distance \: covered \: by \: ship \: = 75km \\ \\ time \: taken \: by \: by \: ship \: = 5hrs \\ \\ speed \: of \: ship = distance \div time \\ speed \: = 75/5 \\ \\ speed \: = 15km/hr \\ \\ hope \: it \: helps[/tex]
What is the area of this green rectangle? | 7 in. 3 in.
Answers
Answer:
I think 21 in.
7 x 3 = 21
Hope this helps.
Find the area of the composite figure.
9 ft
4 ft
6 ft
Answers
Help me with this question
Answers
Answer:
72m^2
Step-by-step explanation:
first split the figure into 2 parts, the square and the triangle. The area of the sqaure is base times height or 6m times 10m which gives you 60m^2. For the triangle area you multiply base times height and divide it by 2, the base is 6m and the height is 4m so it will be 4x6 divided by 2 which gives you 12m^2. Lastly you add them both up, 60m^2 +12m^2 and you get 72m^2.
70×2+20×30+19
are you okk guys❤
Answers
Answer: ...BEDMAS..
steps,..
70×2+20×30+19
140+600+19
740+19
=759
.... and I'm not all fine lol...wau guy??
What is the slope of the line shown below?
(9, 1) and (-3, -7
Answers
Answer:
The slope is 4
Step-by-step explanation:
I think it's right
The multiplicative inverse of -2¹/₇ is
Answers
The multiplicative inverse of a number is the reciprocal of that number. Since
-2 1/7 *(-7/15)= 1, then -7/15 is the multiplicative inverse of -2 1/7.
She mixes nuts, raisins and oats in the ratio 3:2:5 by weight. Babajan uses 60 grams of nuts. Work out the weight of raisins she uses to make the breakfast cereal
Answers
Answer:
weight of raisins : 40
Step-by-step explanation:
nuts : raisins : oats
3:2:5= 60: ? : ?
60÷3 = 20
raisins : 2×20 = 40
A recipe calls for 3 cups of sugar for every 5 cups of water. How many cups of sugar are needed for 25 cups of water?
Answers
Could someone please do this for me ASAP this is for math!
Answers
Answer:
Step-by-step explanation:
[tex]x^{2}[/tex]+x-20
use FOIL
(x - 4)(x+5)
x-4=0
x+5=0
4 and negative 5 are the factors
I need the surface area again plz
Answers
Answer:
31
Step-by-step explanation:
A=2(wl+hl+hw)
l -Length
w-Width
h-Height
A=2(wl+hl+hw)=2·(1·2+4.5·2+4.5·1)=31
A company has a new process for manufacturing large artificial sapphires. In a trial run, 37 sapphires are produced. The mean weight for these 37 gems is 6.75 carats, and the sample standard deviation is 0.33 carat. Obtain a 95% confidence interval for the true mean weight of all sapphires produced by the new process. Interpret your results in the context of the problem. State the margin of er
Answers
Answer:
The margin of error is of 0.11 carats.
The 95% confidence interval for the true mean weight of all sapphires produced by the new process is between 6.64 and 6.86 carats. The interpretation is that we are 95% sure that the true weight of all sapphires produced by the company using the new process is between these two values.
Step-by-step explanation:
We have the standard deviation for the sample, which means that we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 37 - 1 = 36
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 36 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.05}{2} = 0.975[/tex]. So we have T = 2.0281
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.0281\frac{0.33}{\sqrt{37}} = 0.11[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The margin of error is of 0.11 carats.
The lower end of the interval is the sample mean subtracted by M. So it is 6.75 - 0.11 = 6.64 carats
The upper end of the interval is the sample mean added to M. So it is 6.75 + 0.11 = 6.86 carats.
The 95% confidence interval for the true mean weight of all sapphires produced by the new process is between 6.64 and 6.86 carats. The interpretation is that we are 95% sure that the true weight of all sapphires produced by the company using the new process is between these two values.
what is the surface area
Answers
Answer:
Step-by-step explanation:
total surface area=3×(1/2×10×6.7)+1/2×10×8.7=3×(33.5)+43.5
=100.5+43.5
=144
please help me I've been asking for this question for a while and I keep getting those spam messages please help me 15pts
How would you go about finding the confidence interval of say 90% or 95% for any given distribution scenario?
Answers
Answer:
You'd want to divide.
Step-by-step explanation:
Let's say you got a 9/10 on a test.
You'd do 9 divided by 100 and multiply it by 10 to get 90%
That is how you solve a percentage problem
FORMAT IN LESS DETAILED EXPLANATION:
9/100x10=90%
Nine divided by one-hundred times ten equals ninety percent
JKLM is a rectangle. Find the value of x.
Help me fast please
Answers
Answer:
x = 10
Step-by-step explanation:
3x + 38 = 7x - 2
subtract 3x from both sides ogf the equation:
38 = 4x - 2
add 2 to each side:
40 = 4x
divide both sides by 4:
x = 10
6 pounds of sugar for $3 how much per pound
Answers
Answer:
$0.5
Step-by-step explanation:
3/6 = 0.5
What is the solution to Three-fourths a greater-than negative 16?
a greater-than negative 21 and one-third
a less-than negative 21 and one-third
a greater-than 21 and one-third
a less-than 21 and one-third
Answers
Answer:
A
Step-by-step explanation:
Either A or D, this question made me lose braincells, you should get a new teacher
Answer:
A
Step-by-step explanation:
I did the test :)
Find area using law of sines
Answers
Answer:
4
Step-by-step explanation:
HOPE THIS HELPED!!! I TRIED AND REMEMBERED
how to write 970 014 in words
Answers
have a great day! <3
if anyone could help me it would helpful :)!!!
Answers
Answer:
the answer is 74 like the other corner
Answer: C. 74
Step-by-step explanation: This is an isosceles trapezoid based on the diagram showing that the two legs are equal. By theorem 53 which states that "Base angles of an isosceles trapezoid are equal." angle TWV would have to be equal to angle UTW.
Can you help me solve this it’s pretty easy but for you guys
Answers
Answer:
x - 81 = 321
adding 81 on both sides
x-81+81= 321+81
x= 402
Answer:
402
Step-by-step explanation:
81+321=402-321=81 n=402
For every 2 hours, approximately $1,186 worth of product is sold to consumers. How much money will the company for an entire month (30 days)?
Answers
I believe that the answer is $426,960.
I hope this helps!
Barbara was asked to create a set of numbers that contained only natural numbers. Which of the sets
does NOT contain only natural numbers?
24
А
{31, 15, 23, 4, 300,
20
B
19, 100, 4, 12, 6,
c {5, 3, 8, 14, 0,
1, 21
D 22, 7, 9, 11, 28, 4.0)
Answers
Answer:
D
Step-by-s:
Ya que el 4.0 no es un número natural, es un número decimal (Z - número entero).
Since 4.0 is not a natural number, it is a decimal number (Z - whole number).
8.82 is 21% of what number?
Answers
Answer:
42 I think, i could be wrong
Step-by-step explanation:
Write 3 1/9 as an improper fraction.
Answers
The improper fraction of the given mixed fraction is [tex]3\dfrac{1}{9}[/tex].
When the numerator exceeds or is equal to the denominator, the fraction is said to be inappropriate. 5/2 and 8/5, for instance, are incorrect fractions. The numerator and denominator are the two components of any fraction.
The given fraction is:
[tex]3\dfrac{1}{9}[/tex]
To convert this fraction into an improper fraction,
Multiply 3 with 9 then add it to the numerator,
[tex]\dfrac{3\times 9 + 1}{9} \\\\\dfrac{27 + 1}{9}\\\\ \dfrac{28}{9}[/tex]
Therefore,
[tex]3\dfrac{1}{9}[/tex] [tex]= \dfrac{28}{9}[/tex]
Hence,
The improper fraction of [tex]3\dfrac{1}{9}[/tex] is [tex]\dfrac{28}{9}[/tex].
To learn more about the fraction visit:
https://brainly.com/question/5454147
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7th grade math
The sales tax on an item is 6.5%. The total cost of the item is the price, p, plus the tax. Which expression represents the total cost?
A. 0.935p B. p + 1.065p C. 1.065p D. p + 6.5p
Answers
Answer:
B
Step-by-step explanation:
You add tax to the price not multiply
Answer:1.065p
Step-by-step explanation:
2. Julio has 1/6 pound of candy. He puts the candy
into 4 bags. Write an expression that represents the
fraction.
Answers
Answer:
4/6
Step-by-step explanation:
(1/6 times 4)make 4 into a fraction and that is 4/1 multyply the numerator and denominator 6x1=6 so 6 is the denominator and 4x1 is 4 so 4 is the numerator so its 4/6
The expression that represents the fraction is 1/6 * 1/4 or 1/24
How to determine the fraction?The given parameters are:
Amount of candy = 1/6 pounds
Number of bags = 4
The expression that represents the amount in each bag is:
Amount = Amount of candy/Number of bags
This give
Amount = 1/6 / 4
Express as product
Amount = 1/6 * 1/4
Evaluate
Amount = 1/24
Hence, the expression that represents the fraction is 1/6 * 1/4 or 1/24
Read more about fractions at:
https://brainly.com/question/11562149
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f(x)=2x^ 2 +9x Find f(10)
Answers
f(10) = 2*10^2 + 9*10
= 2*100 + 90
= 200 + 90
= 290
DF and GI are parallel lines.
Which angles are alternate interior angles?
Answers
Answer:
your answer is no. d . Because of alternate <
Can someone tel me which ones i need to put? I need to put 2.
Answers
Answer:
B C E are the three crt options
Step-by-step explanation:
An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division. The structure of an expression is: Expression = (Number, Math Operator, Number)
Answer:
A and C are equations
Step-by-step explanation:
B and E are inequalities
D is an expression