Answers
Answer: Choice B
[tex]\frac{1}{\sqrt{65}}<-4, 7>[/tex]
===============================================================
Explanation:
Consider a right triangle with legs a = 4 and b = 7. Through the pythagorean theorem, the hypotenuse is
c = sqrt(a^2+b^2) = sqrt(4^2+7^2) = sqrt(65)
This represents the length of the vector <-4,7>
Dividing each component by the length will normalize the vector. This is the same as multiplying by [tex]\frac{1}{\sqrt{65}}[/tex] which is what choice B shows. The phrasing "normalize the vector" means "make the vector to be of length 1". A common application of normalizing vectors will come up in computer graphics.
The original vector and the vector mentioned in choice B point in the same direction. The only thing that has changed is the length from sqrt(65) to 1.
Related Questions
I have a question if anybody answers the reward is brainlist
Whats 0÷0
Answers
Answer:
0
Step-by-step explanation:
You can't divide anything by zero
0÷0=
=0
Her jump rope Ella can make 17 jumps in 15 second.at this rate how make jumps can she make in20 minute?
Answers
Answer:
1360
Step-by-step explanation:
there are 1200 seconds in 20 minutes. if Ella can do 17 jumps in 15 seconds, you would divide 1200 by 15 (which equals 80) because that would be the number of 15 seconds in 20 minutes. then you would divide 80 by 17, which gives you your final answer of 1360 jumps in 20 minutes.
n!
Use:
n 'k k!(n-k)!
to solve the combination.
After a band parent meeting, each of
the ten members shook hands with
each other once. How many
handshakes were there in all?
Hint: Remember that one handshake involves
two people.
[?] handshakes
Answers
Using the formula C(10,2) = 10!/(2! x (10 - 2)! = 10!/(2! x 8!) = 45 handshakes.
A simple way to prove this is each person shakes the hand of 9 other people
10 x 9 = 90 but this counts every handshake from the view of both people involved.
The actual number of handshakes is therefore 90 / 2 = 45
In December yanni’s chocolate shop received 180 telephone orders. In January they received only 72 telephone orders. By what percent did the number of telephone orders decrease from December to January
Answers
Answer:
Step-by-step explanation:
A. Your friend says that the solutions to the inequality 9x-18x ≥ - 18 are x ≥ 2 Solve the inequality correctly. B. What error did your friend make?
Answers
Answer:
A. x≤2; B. wrong unequality after dividing by negative number.
Step-by-step explanation:
9x-18x≥ -18;
-9x≥ -18;
0≥ -18+9x;
18≥9x;
9x≤18;
x≤2.
Going to sleep goodbye
Answers
P(x) = x^4+ax^3-x^2+bx-12 has factors of (x-2) and (x+1). Solve the equation P(x)=0
Answers
Answer:
because P(x) has factors of (x-2) and (x+1) => x = 2 and x = -1 are the solutions of P(x)
so we have:
[tex]\left \{ {{2^{4}+2^{3}a-2^{2}+2b-12 =0} \atop {1-a-1-b-12=0}} \right.\\=>\left \{ {{8a+2b=0} \atop {a+b=-12}} \right.\\<=>\left \{ {{4a+b=0} \atop {a+b=-12}} \right.\\<=>\left \{ {{a=4} \atop {b=-16}} \right.[/tex]
=> [tex]P(x)=x^{4} + 4x^{3}-x^{2} -16x-12[/tex]
With P(x) = 0
=> [tex]x^{4}+4x^{3}-x^{2} -16x-12 = 0[/tex]
=> ........
Step-by-step explanation:
Find the probability that a student earns a grade of A,B, or C
P=
Answers
Answer:
Step-by-step explanation:
Answer: 0.86
Step-by-step explanation:
Which number is closest to 66 (squared)?
A) 8.8
B) 8.1
C 8.2
D) 9.1
Answers
Answer:
sq rt of 66 is 8.12 so 8.1 closest
Answer:
8.1
I hope it will help you a lot.
HOPE your day goes great.
What number should go in the empty boxes to complete the calculation for finding the product of 0.53 × 0.67?
(Hint: it is the same number. Input only one number in the blank.)
will give (brainlist)
Answers
Answer:
1st box: 1
2nd box: 1
Step-by-step explanation:
1: 3 * 7 = 21, so only put the 1 and carry the 2.
2: 5 * 6 = 30, but we have a 1 from the previous answer given so 31, but only put the 1.
I hope this helps :)
Walter car gets 41 miles per gallon. Walter is planning a vacation which is 372 miles away. How many gallons of gas will Walter use for this round trip?
Answers
744/41 = 18.146 or 18.2 gallons of gas rounded
If they want a whole number 18.2 rounds down to 18.
Question 5
1 pts
Write the equation of a line through (5,1), parallel to y=-*+1
o
Answers
Answer:
3rd, y=-1/5x
Step-by-step explanation:
Emily gets paid $40 just for showing up to watch her sister’s dog. Her sister then pays her $25 per everyday she watches the dog.
Answers
Answer:
Step-by-step explanation:
In Exercises 9-12 solve y=f(x) for x then find the input when output is 2 9. F(x)=x+5 10. F(x)=2x-3 11. F(x)= 1/4x -1 12. F(x)= 2/3x+4
Answers
Step-by-step explanation:
Q9 . y = x + 5
x= y-5
× the input
y the output
x= -3
Q10.
y = 2x -3
y+3 = 2x
x = (y+3) ÷ 2
× = 5/2
= 2.5
Q11.
y = 1/4x - 1
y+1 = 1/4 x
4y+4 = x
x = 12
Q 12 .
y = 2/3x + 4
y-4 = 2/3x
3(y-4) = 2x
x = 3(y-4)/2
x = -3
Help please will mark brainliest
Answers
Answer:
c no is correct pls mark me branilest
Answer:
(x, y) = (y, x). Exercise 1.3.4. Let X,Y,Z and W be nonempty sets. Then, prove the following statements
20+8
100+75
49+28
32+24
DRAG & DROP THE ANSWER
8(4+3)
25(3+4)
7(7+4)
4(5+2)
Answers
Answer:
give brainliest please I need it to level up
Step-by-step explanation:
20 + 8
4(5 + 2)
100 + 75
25(4 + 3)
49 + 28
7(7 + 4)
32 + 24
8(4 + 3)
Answer:
Ans; 8 +20 —> 4(2+5)
Ans; 75+100 —> 25(4+3)
Ans; 28+49 —> 7(4+7)
Ans; 24+32 —> 8(3+4)
I hope I helped you^_^
2x2 − 2z4 + y2 − x2 + z4 if x = −4, y = 3, and z = 2.
Answers
answer: 9
Step-by-step explanation:
x = - 4; y = 3; z = 2;2 x² - 2 z^4 + y² - x² + z^4 = = 2 * (-4)² - 2 * 2^4 + 3² - ( -4)² + 2^4 == 2 * 16 - 2 * 16 + 9 - 16 + 16 = = 32 - 32 + 9 - 16 + 16 = 9
Which is better to buy? 4-foot piece of ribbon for $7.68 or 544-inch piece of ribbon for $65.28
Answers
Answer:
4 foot ribbon
Step-by-step explanation:
Answer:
544
Step-by-step explanation:
$7.68 x 540 = 4,147.2
Emergency funds are important because they
Answers
Answer:
an emergency fund allows you to live for a few months if you lose your job or if something unexpected comes up that costs a fair chunk of money to cover
Answer:
If there ever was an emergency you will need money to pay/afford the injury
Step-by-step explanation:
Given that
()=2(−3)2−8
f
(
x
)
=
2
(
x
−
3
)
2
−
8
, determine the true statement.
The x intercepts of the graph of f(x) are (1,0) and (5,0).
Group of answer choices
The range of f(x) is
≥−8
y
≥
−
8
.
The graph of f(x) is decreasing from
(3,∞)
(
3
,
∞
)
.
The graph of f(x) has a maximum point at (3, -8).
The domain of f(x) is
≥3
x
≥
3
Answers
Equations are used to show the relationship between variables (usually x and y). The true statement about f(x) is that the range of f(x) is [tex]y \ge -8[/tex]
Given that:
[tex]f(x) = 2(x - 2)^2 - 8[/tex]
To identify the true statement, I will make use of graphical method.
See attachment for the graph of [tex]f(x) = 2(x - 2)^2 - 8[/tex]
From the attached graph, we can see that the graph as a minimum at:
[tex](x,y) = (2,-8)[/tex]
And it opens upward.
This implies that the minimum y-value of f(x) is at -8, and it has no maximum.
In other words, the range of the function is:
[tex]f(x) \ge -8[/tex]
Hence, the true statement is option (a):
The range of f(x) is [tex]y \ge -8[/tex]
Read more about equations at:
https://brainly.com/question/17995541
How to numerically write five and eight then multiply by 4
Answers
Answer:
5 + 8 × 4
Assuming "five and eight" means 5 + 8
Find two positive numbers whose difference is 30 and whose product is 2584.
Answers
Answer:
[tex]38[/tex] and [tex]68[/tex].
Step-by-step explanation:
Let [tex]x[/tex] be the smaller one of the two number.
[tex]x[/tex] must be a positive integer. The other number would be [tex](x + 30)[/tex].
The question states that the product of the two numbers is [tex]2584[/tex]. In other words:
[tex]x\, (x + 30) = 2584[/tex].
Rearrange this equation and solve for [tex]x[/tex]:
[tex]x^{2} + 30\, x - 2584 = 0[/tex].
The first root of this quadratic equation would be:
[tex]\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}[/tex].
Similarly, the second root of this quadratic equation would be:
[tex]\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}[/tex].
Since the question requires that both numbers should be positive, [tex]x > 0[/tex]. Therefore, only [tex]x = 38[/tex] is valid.
Hence, the two numbers would be [tex]38[/tex] and [tex](38 + 30)[/tex], which is [tex]68[/tex].
9514 1404 393
Answer:
38 and 68
Step-by-step explanation:
Let x represent the average of the two numbers. Then their product is ...
(x -15)(x +15) = 2584
x^2 = 2584 +225 = 2809 . . . . . . use relation (x -a)(x +a) = x^2 -a^2; add a^2
x = √2809 = 53
Then the two numbers are ...
53 +15 = 68
and
68 -30 = 38
The two numbers are 38 and 68.
_____
Additional comment
Solving the problem in this way is equivalent to writing the quadratic equation for the smallest (or largest) number and solving that by completing the square. The "solution" x = -53 is not relevant in this problem.
\lim_(x->0)(cos2x)^((3)/(x^(2)))
Answers
Answer:
ffffgggghhhuukufgnjsdhn
Answer:
∞
Step-by-step explanation:
since cos(0) = 1, you have 1/0
What is the point on the graph of f(x+5)
Answers
Answer:
=fx+5f
Step-by-step explanation:
=fx+5f
if a + 1 by a is equal to 3 find the value of bracket a minus 1 by a bracket square
Answers
a+1 = 3
To find:(a - 1)^2
[tex] {a}^{2} - 2.a.b + {b}^{2} \\ \\ a - 2a + 1 \\ \\ 1 + 1 = 2[/tex]
So, the answer is 2Hope it help youYour teacher has asked you to explain the difference between quantitative and qualitative observations. Which statement is correct?
Question 8 options:
Quantitative observations use numbers, qualitative uses the senses.
Quantitative observations use the senses, qualitative uses numbers.
Quantitative observations use measurement, qualitative uses numbers.
Quantitative observations use colors, qualitative uses the senses.
Answers
Answer:
Step-by-step explanation:
B is the answer and if the next has something to do with connie then your answer is C
What is the Gcf of 10 and 6?
Answers
The GCF of 10 and 6 is 2. May this will help you.
Pls help it's due today It's DUE IN 8 MINUTES.
Answers
Answer:
84 pounds
Step-by-step explanation:
Look at image for question and answers
Answers
Answer:
d
Step-by-step explanation:
i did this last year
tìm sự hội tụ của
∞
∑ [tex]\frac{4^{n} }{n!}[/tex]
n=1
Answers
Answer:
100002
Step-by-step explanation:
bi the react
