Answers
Answer:
Step-by-step explanation:
[tex](-\frac{1}{3} \sqrt{\frac{7}{2} } )^2+(\frac{1}{3} \sqrt{\frac{13}{2} } )^2\\=\frac{1}{9} (\frac{7}{2} +\frac{13}{2} )\\=\frac{1}{9} (\frac{7+13}{2} )\\=\frac{1}{9} \times10\\=\frac{10}{9} \neq 1[/tex]
not a unit vector.
b.
[tex](\frac{1}{\sqrt{3} } )^2+(-\sqrt{\frac{2}{3} } )^2\\=\frac{1}{3} +\frac{2}{3} \\=\frac{1+2}{3} \\=\frac{3}{3} \\=1[/tex]
it is a unit vector.
c.
[tex](\frac{1}{2} \sqrt{\frac{5}{3} } )^2+(-\frac{1}{2} \sqrt{\frac{7}{3} } )^2\\=\frac{1}{4} (\frac{5}{3} +\frac{7}{3} )\\=\frac{1}{4} (\frac{5+7}{3} )\\=\frac{1}{4} (\frac{12}{3} )\\=\frac{1}{4} (4)\\=1[/tex]
it is a unit vector.
d.
[tex](\frac{3}{\sqrt{7} } )^2+(-\frac{2}{\sqrt{7} } )^2\\=\frac{9}{7} +\frac{4}{7} \\=\frac{9+4}{7} \\=\frac{13}{7} \neq 1[/tex]
it is not a unit vector.
Related Questions
Find the equation of the line passing through the point (-6,4) that is perpendicular to the line 5x 3y
Answers
Answer
y=−3/5x−23/5
given the slope m of a line then the slope of a line
perpendicular to it is
Answer:
y= 1/2x + b
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help me
3x-(2x+4)+5
Answers
Answer:
3x-(2x+4)+5
-(2x +4)
-2x-4
=3x-2x-4+5
=x+1
Step-by-step explanation:
hope that helps>3
Doug dives from a platform that is 10 meters above water. His dive takes him 3.8 meters below the
surface of the water. How far does Doug's dive take him?
***
Doug's dive takes himmeters.
Answers
Answer:
13.8
Step-by-step explanation:
His dive once he hits the water and goes below the surface water line is in the same direction as his dive off the platform. That's very important when you start to consider direction. So you add. Be sure and read this paragraph again.
Dive = platform + under the surface
Dive = 10 + 3.8
Dive = 13.8
Translate to an inequality
nine increased by the product of a number and 8 is less than -20
Use the variable c for the unknown number.
Answers
Answer: - 29/8
Step-by-step explanation:
9 + 8c < - 20
8c < - 20 - 9
8c < - 29
c < - 29/8
Answer:
give this other guy or girl branliest
Step-by-step explanation:
Given f(x)=5x+2 and g(x)=-3x-4, find the following: a. f(g(0))
b. f(f(3))
c. (g of)(0)
d. (g o g)(2)
Answers
9514 1404 393
Answer:
a. -18
b. 87
c. -10
d. 26
Step-by-step explanation:
For evaluating functions with different arguments, I find a calculator to be helpful.
__
If you want to do this by hand, put the argument value where the variable is and do the arithmetic. It is helpful to know that
[tex](f\circ g)(x)=f(g(x))[/tex]
__
For example, ...
a. f(g(0)) = f(-3(0) -4) = f(-4) = 5(-4) +2 = -18
HELP PLEASE! 11. Is the set of integers closed under division? Explain why or why not.
If it is not closed, give an example.
Answers
First a definition:
A given set is closed under a given operation if, for any given pair of elements of the set under that operation, the outcome also belongs to the set.
With this, we will find that the set of integer numbers is not closed under division.
Now let's be more clear.
The definition particularly means that a set is closed under division only if for any pair of elements of the set, the division of these elements also does belong to the set.
Here we want to see if the set of integers is closed under division. To see that this is false, we just need to find a counterexample.
This is, finding a pair of integer numbers that have a quotient that is not an integer.
A really simple example is:
1 and 2.
2/1 = 2 is integer.
but
1/2 = 0.5 is not integer.
Thus we can conclude that the set of integers is not closed under division.
If you want to learn more, you can read:
https://brainly.com/question/17175273
The area of a rectangle is 52 inches if the length is two times the width find the dimensions of the rectangle round off your answer to the nearest hundredth
Answers
A=52in
Length= 2x
Width=x
Length(Width)= Area
2x^2=52
Divide both side by two
x^2=26
Sqrt both side
x=+ or - sqrt(26)
Length=2(sqrt(26)=2sqrt(26) or 10.20
Width=sqrt(26) or 5.20
Answer:
about 5.10 by 10.20 inches
Step-by-step explanation:
You can substitute the width for "x"
This would make the length 2x as it is two times the width
Area in a rectangle is Length times Width, so in this case it would be 2x * x
It gives you the area as 52 inches, so you can substitute this in the equation making it 52 = 2x^2
divide by two on both sides: 26 = x^2
take the square root of both sides, and x is 5.0999
Now to find the length, just double it, which rounds out to 10.20
5.0999 rounds to the hundredth as 5.10
so for dimensions you have 5.10 by 10.20
Urgent what is the numerical answer please !!
Answers
whats the full question?
Answer:
AB slope= 4/5
CD slope= - 5/4
Step-by-step explanation:
AB: (0,-1) (5,3)
Slope= (3- -1)/(5-0) = 4/5
CD: (2,3) (6,-2)
CD slope= (-2-3)/(6-2) = -5/4
find the perimeter of this triangle
Answers
Perimeter = Sum of all sides
Sides of triangle are
9 in12 in15 inNow , Calculating perimeter
Perimeter = 9 + 12 + 15
Perimeter = 36 in
Answer:
P = 36 in
Step-by-step explanation:
A+B+C=P
So A would be 9,B would be 12, And C would be 15 add that all up and you get 36.
Given f(x) = x − 7 and g(x) = x2 .
Find g(f(4)).
g(f(4)) =
]
Answers
9514 1404 393
Answer:
g(f(4)) = 9
Step-by-step explanation:
Put the argument value where the variable is and do the arithmetic.
g(f(4)) = g(4 -7) = g(-3) = (-3)^2
g(f(4)) = 9
Which of the following numbers could not be used to describe a distance walked?
A. 129/3 foot
B. |-125 | foot
C. 12 foot
D. -140 foot
Answers
9514 1404 393
Answer:
D. -140 ft
Step-by-step explanation:
Lengths cannot be negative, so -140 cannot be a distance walked.
__
Additional comment
Relative to some reference point and direction, a position can be described as positive or negative. However, the distance from that point to the reference point will always be positive.
How do the fuel economies of Honda and Ford
vehicles compare in 2018? Use the drop-down menus
to complete the statements.
Shape: The distribution of fuel economy for Honda is
vand for Ford is
Outliers: There appears to be an outlier of 47 mpg for
Honda. There appears to be an outlier of 40 mpg for
Ford
Center: Fuel economy for Honda tends to be
the fuel economy for Ford.
Variability: Fuel economy for Honda varies about the
same as the fuel economy for Ford.
Answers
Answer:
1. roughly symmetric
2. skewed to the right
3. greater than
Step-by-step explanation:
correct on edge 2021 :)
1. The distribution of fuel economy for Honda is roughly symmetric vand for Ford is skewed to the right. and 3. Fuel economy for Honda tends to be greater than the fuel economy for Ford.
How to compare the fuel economies of Honda and Ford vehicles in 2018?Shape: The distribution of fuel economy for Honda is roughly symmetric vand for Ford is skewed to the right.
Outliers: There appears to be an outlier of 47 mpg for Honda. There appears to be an outlier of 40 mpg for Ford
Center: Fuel economy for Honda tends to be greater than the fuel economy for Ford.
Variability: Fuel economy for Honda varies about the same as the fuel economy for Ford.
Learn more about Fuel economy here;
https://brainly.com/question/24212851
#SPJ2
Help me pleaseeee help help
Answers
Answer:
Step-by-step explanation:
When d the product of 6 and 6 is divided by the sum of 6 and 6 what is the quotient? Explain.
Answers
John bought 3 pants for 25 dollars each and paid with a 100 dollar bill how much change did he get?
Answers
Answer:
He got $25 in change.
Step-by-step explanation:
Suppose the balance amount is x.
The cost of 3 pants is 3 × 25 = 75
John paid = $ 100
x = 100 – 75
x = 25
Answer:25
Step-by-step explanation:
25×3=75 then you subtract 100-75=25
Which statement is true about the climbers’ heights?
What is the value of a in the equation 3 a plus b equals 54, when b equals 9?
15
18
21
27
Answers
Evaluate the expression 2−7+15
pls somone help
Answers
Answer:
answer is -20
BODMAS
So we do addition First, then subtraction so 7+15 = 22
2- 22= -20
What is the last step whenever dealing with fractions?
Answers
Answer:
The last step is to simplify the result if it can be done. To simplify a fraction, you have to find the greatest common factor (GCF) of both the numerator and the denominator. The GCF is the largest number that can be evenly divided into both numbers. In the case of 12 and 96, 12 happens to evenly divide into 96.
your monthly salary increases from $2,200 to $2,376. what percent is your raise?
Answers
Answer:
8%
Step-by-step explanation:
(2376-2200):2200x100%=8%
A candy company packaged 208,164 pieces of candy into 836 bags. If each bag contains the same number of pieces of candy, how many pieces of candy does each bag contain?
A.
1,085
B.
587
C.
249
D.
151
Answers
Answer:
C: 249
Step-by-step explanation:
208,164/836 = 249
will give brainlyist to first answer
Answers
Answer:
5.08 cm, or 5 cm if you round it
Step-by-step explanation:
2.54 cm = 1 in
2.54 x 2 = 5.08
12. GODEEPER
My 3-digit number has a 4 in the
hundreds place. It has a greater digit in the
tens place than in the ones place. The sum of
the digits is 6.
What is my number?
ing Company. Image Credits: (t) Virinaflora Sh
Write the number using words.
13. THINK SMARTER) Alma counts two
Math
Sot
2
Answers
Answer:
420
Step-by-step explanation:
If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?
Answers
Answer:
6(3) - 4 - 3²
Step-by-step explanation:
(g - f) = 6x - (4 - 2x²)
= 6x - 4 - 2x²
and when we replace x with 3 ,it will be
6(3) - 4 - 3²
hope this helps
Answer:
Basically what the person on top of me said
Step-by-step explanation:
Got it right !
If red is = -1 and yellow is = +1
what problem and solution are modeled below?
A. - 5 + 8 = 3
B. -10 - 3 = -13
C. 10 + - 3 = 8
D. -8 + 5 = - 3
Answers
Answer:
D.
MARK ME BRAINLIEST CORRECT AMSWER IS GIVENMichael cut away 3.01 meters of rope.Before that he had 6 meters of rope.How much rope does Michael have left
Answers
Answer:
2.99 meters
Step-by-step explanation:
3/10 = 15/50 what is the multiplier
Answers
3/10=15/50
3/10 x 5/5 = 15/50
Answer:
the answer is 150
Step-by-step explanation:
you will do cross multiplication where 3 will multiply 50 and 15 will multiply 10. u will get 150=150
HELP Please with this question please NO LINKs OR I WILL REPORT YOU PLEASE GIVE EXPLANATION
Answers
Answer:
87/54 = m
Step-by-step explanation:
-11/6 + m = -2/9
Here is one way to solve this:
First, we can remove the fractions. We can do this by multiplying both sides by both denominators.
multiply both sides by 6
-11 + 6m = -12/9
multiply both sides by 9
-99 + 54m = -12
add 99 to both sides to isolate the m and its coefficient
-12+99= 54m
87 = 54m
divide both sides by 54 to isolate m
87/54 = m
URGENT NEED HELP RIGHT ANSWER WILL BE BRAINLEIST
Write an absolute value equation with the SOLUTION OF -1 and 5.
Answers
Answer:
i had given detailed solution mark me brainliest.
thank you
Brian will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $44 and costs an additional $0.10 per mile driven. The second plan has an initial fee of $49 and costs an additional $0.08 per mile driven.
For what amount of driving do the two plans cost the same? _ miles
What is the cost when two plans cost the same? $_
Answers
Answer:
250 miles
69 dollars
Step-by-step explanation:
Plan 1
44+.10m
Plan 2
49 +.08m
Set the two plans equal
44+.10m = 49 +.08m
Subtract .08m from each side
44+.10m - .08m = 49 +.08m-.08m
44+.02m = 49
Subtract 44 from each side
44 +.02m-44 = 49-44
.02m = 5
Divide each side by .02
.02m/.02 = 5/.02
m = 250
The cost is 44 +.10(250)
44 +25
69
I left home at 5:30 am
7.250m and arrived at school at 7:25am how many seconds did I take to reach school