9514 1404 393
Answer:
(-4√494)/13i +(6√494)/13k ≈ -6.8388i +0j +10.2585k
Step-by-step explanation:
To answer this question, you need to know two things:
1) the direction of vector v
2) the magnitude of vector u
__
direction of v
A direction is specified by a "unit vector", one with the proper ratio of components, and a magnitude of 1. It is found from a given vector by dividing that vector by its magnitude.
The unit vector in the v direction is ...
v/|v| = (-2i +3k)/(√((-2)² +3²) = (-2i +3k)/√13
__
magnitude of u
The magnitude of vector u is ...
|u| = √(5² +(-2)² +3²) = √38
__
Then the desired vector is ...
(2|u|)(v/|v|) = 2√38(-2i+3k)/√13 = (-4√494)/13i +(6√494)/13k
_____
Additional comment
We have chosen to "rationalize the denominator" by writing √(38/13) as (√494)/13.
Please please help me
Answer:
2a squared - 4a
Step-by-step explanation:
12 a^2 - 3a - 10a^2 - a
12 - 10 = 2
-3 - 1 = -4
2a^2 - 4 a
What is the equation of the line that passes through the points (0, 3) and
(5.-1) written in slope-intercept form? Answer plz
Harrison has 80 CDs in his music collection.
If 30% of the CDs are country music and 50% are pop music, how many CDs are other types of music?
Answer:
THE ANSWER IS 9 CDS THANK ME LATER
Step-by-step explanation:
Help please this is due soon
Answer:
98
Step-by-step explanation:
=====================================================
There are two ways to find the answer
-----------------------
Method 1
Multiply the length and width by the scale factor
10*3.5 = 35
4*3.5 = 14
The new larger rectangle is 35 inches by 14 inches
Add up the four sides: 35+14+35+14 = 98
The perimeter of the larger rectangle is 98 inches
-----------------------
Method 2
We can use the formula P = 2(L+W) to get the perimeter of the original rectangle
P = 2(10+4)
P = 2*14
P = 28
The original rectangle has perimeter 28 inches.
Or you could note how 10+4+10+4 = 28
Multiply this with the scale factor to get 28*3.5 = 98 inches
NEED HELP FAST
The height of a soccer ball that was kicked up into the air is given by the equation \displaystyle h(t)=-16t^2+352th(t)=−16t
2
+352t where t is the time in seconds after the ball was kicked.
The ball reaches a maximum height of ________
feet.
It will take the ball __________
seconds to reach its maximum height.
The ball will reach the again after _______
seconds. .
9. The mean weight of five Oklahoma State University middle weight wrestlers is
157 pounds. The weights of four of the wrestlers are 152.6 pounds, 162.3 pounds,
155 pounds, and 148.7 pounds respectively. What is the weight of the fifth
wrestler?
Answer:
Step-by-step explanation:461.6
Pls help thank you :)
Answer:
points= (0,4) (1,-4) (-1,4) and make the line
Step-by-step explanation:
i just know
80% of the 400 pieces of art at the Classical Art Museum are paintings. How many pieces of art are paintings?
GIVING BRAINLIEST idk whats it called =_=
WITH ALOT OF POINTZ
Answer:
320 pieces are paintings
Step-by-step explanation:
Hope i helped : )
Answer:
320
Step-by-step explanation:
% means out of 100 so 80% is 80 out of 100 also known as 80/100
80/100 times 400
32000/100
320
Help please idk what to do
Answer:
The parallel slopes are the same as the regular slopes. The perpendicular slopes are equal to -1 * (1/slope)
Step-by-step explanation:
Answer:
For Parallel slop is the same. For perpendicular int is opposite reciprocal.
Step-by-step explanation:
For example, the parallel slope of 3 is 3 and perpendicular is -1/3
Arms Race. A simplified mathematical model for anarms race between two countries whose expenditures fordefense are expressed by the variables x1t2 and y1t2 is:___________
Answer:
hello your question is incomplete attached below is the complete question
answer : The speed of e^-5t is faster and approaches infinity faster than e^t this is because as t → ∞ , e^-5t approaches 0 and e^t remains constant which simply shows that X and Y are constants when t → ∞
Step-by-step explanation:
attached below is a detailed solution of the problem
The speed of e^-5t is faster and approaches infinity faster than e^t this is because as t → ∞ , e^-5t approaches 0 and e^t remains constant which simply shows that X and Y are constants when t → ∞
If a certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard deviation of 2 ohms, what is the probability that a random sample of 25 of these resistors will have a combined resistance of less than 1010 ohms?
Answer:
The probability is [tex]P(\= X < 40.4) = 0.84134[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu =40 \ \Omega[/tex]
The standard deviation is [tex]\sigma = 2 \ \Omega[/tex]
The sample size is n = 25
The combined resistance is [tex]\sum x_i = 1010 \ \Omega[/tex]
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x = \frac{1010 }{25}[/tex]
=> [tex]\= x = 40.4 \ \Omega[/tex]
Generally the standard error of the mean is mathematically represented as
[tex]\sigma_{x} = \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]\sigma_{x} = \frac{ 2 }{\sqrt{25} }[/tex]
=> [tex]\sigma_{x} = 0.4[/tex]
Generally the probability that a random sample of 25 of these resistors will have a combined resistance of less than 1010 ohms is mathematically represented as
[tex]P(\= X < 40.4) = P( \frac{\= X - \mu }{\sigma_{x }} < \frac{ 40.4 - 40 }{0.4} )[/tex]
[tex]\frac{\= X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ \= X )[/tex]
[tex]P(\= X < 40.4) = P( Z < 1 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1 is
[tex]P(\= X < 40.4) = P( Z < 1 ) = 0.84134[/tex]
[tex]P(\= X < 40.4) = 0.84134[/tex]
Solve for X
x+3 1/3=8 1/2
Answer:x= 31/6
Step-by-step explanation:
Solve for
x
by simplifying both sides of the equation, then isolating the variable.
Which equation has a constant of proportionality
To 1/2?
I have attached an image showing the complete question with the answer options.
Answer:
Option C: y = (3/6)x
Step-by-step explanation:
We are told that the constant of proportionality is 1/2.
Now, in constant of proportionality we use the formula;
y = kx
Where k is the constant of proportionality.
Thus the equation is;
y = ½x
Now, since ½ is a reduced form, we can write ½ as 2/4 or 3/6 and so on.
From the options, we see an equation with; y = (3/6)x
Thus,it's the correct one as when broken down, 3/6 gives ½
The national history museum has collected 125 dinosaurs.George has collected 3/5 of this amount.How many dinosaurs has george collected?
Answer: i love you
Step-by-step explanation: i liked all of yours
When you dive in a submarine, you might be at an altitude of
Consider random samples of size 50 from a population with proportion 0.35.
Find the mean and standard error of the distribution of sample proportions.
Round your answer for the mean to two decimal places, and your answer for the standard error to three decimal places.
Answer:
The mean is [tex]\mu_{\^ p } = p = 0.35[/tex]
The standard error is [tex]SE = 0.06745[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 50
The population proportion is [tex]p = 0.35[/tex]
Generally given that the sample size is large enough , then the mean of the distribution is mathematically represented as
[tex]\mu_{\^ p } = p = 0.35[/tex]
Generally the standard error of the distribution is mathematically represented as
[tex]SE = \sqrt{\frac{p (1- p )}{n} }[/tex]
=> [tex]SE = \sqrt{\frac{0.35 (1- 0.35 )}{50} }[/tex]
=> [tex]SE = 0.06745[/tex]
the sum of 2 numbers is 60. one number is 4 times as large as the other. what are the numbers?
How can you use multiplication to help you divide 6,000 by 20?
Answer:
20 x ___ = 6000
Step-by-step explanation:
Thats how you use multiplication
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
It takes 24 minutes for a pump to empty a tank. A larger pump can empty the tank in half the time. How long would it take to empty the tank with both pumps operating?
How do you find the rate of change
Answer:
The answer should be B
Step-by-step explanation:
Because all the y-intercepts are negative, so when you divide by the x-intercepts you will always land up with a negative.
HELPPP DUE IN 8 MINS!! There are many cylinders with a height of 9 inches. Let r represent the radius in inches and V represent the volume in cubic inches. Is there a linear relationship between the radius and the volume of
these cylinders?
The solution is,
R V
1 9π in³
2 36π in³
3 81π in³
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
For, r = 1
V = π(1)²9
= 9π in³
For, r = 2
V = π(2)²9
= 4*9π in³
= 36π in³
For r = 3
V = π(3)²9
= 9*9π in³
= 81π in
The solution is,
R V
1 9π in³
2 36π in³
3 81π in³
To learn more on volume click :
brainly.com/question/1578538
#SPJ1
Need math help asap, an explanation would also be much appreciated, thanks.
Use the angle bisector theorem. In this case, it says
3 / (8 - y) = 9 / y
Solve for y :
3y = 9 (8 - y)
3y = 72 - 9y
12y = 72
y = 6
use the elimination method to solve the system of equations choose the correct ordered pair -x + y = -2 2x - 3y = 4
Answer:
The answer is (2, 0).
I hope this helps!
Triangle abc is similar to triangle def. which proportion can be used to find the length of DE on centimeters (please leave a small explanation)
Answer: DE=12
Step-by-step explanation:
ABC similar to DEF
That means that AB corresponds to DE , AC to DF and BC to EF
So AB/DE=AC/DF=BC/EF=5/15=3/9=1/3
So 4/DE=1/3
=>DE=12
Answer:=
Its A = 4/3=DE/9
Step-by-step explanation:
Verizon is implementing a new program based on the number of connected devices in each household. Currently, customers are charged a flat rate of $50
per month. The new plan would charge a flat rate of $15 plus an additional $7.50 per device connected to the network. Find an inequality to show when the
cost of the new plan is less than the cost of the current plan.
O 50 < 15 +7.50x
O 50 < 15 + 7.50.
O 15 +7.503 < 50
O 15 +7.50x < 50
Answer:
d
Step-by-step explanation:
it goes with the correct statements in the sentences it is the right symbol and has the variable for the unknown amount of devices
Which of the ratios below is equivalent to 4:1? Select all that apply.
A) 12:3
B) 24:6
C) 8:4
D) 16:4
E) 10:6
Answer:
A B and D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
divide by 3
Quickest to answer is brainliest!
Answer: 60%, 0.599, 2/3
Step-by-step explanation:
Answer:Second one
Step-by-step explanation:
is 12 a direct variation
Answer:Yes
Step-by-step explanation:
3^5=(1/3)^x
Help plz I think negative 5 but I’m not sure
Answer:
your right it's -5
Step-by-step explanation:
Please help my math question. I'll be giving brainly.
DO NOT, PUT RANDOM ANSWERS, YOU HAVE BEEN WARNED.
Answer:
80
Step-by-step explanation:
80
angle a = angle s
amr and msr are similar triangles
Answer:
Simple question!
Step-by-step explanation:
I'm never challenged in school, could you send me your hw each day?
Email ivaliu2008+outlook.com
Also, what grade are you?
Thanks!
