Answers
===================================================
Explanation:
Problem 1
If we had the two vectors u = <a,b> and v = <c,d>, then adding them gives us
u+v = <a+c,b+d>
The corresponding coordinates pair up and add together.
In this case we have
u = <-3,4>
v = <6,8>
So,
u+v = <-3+6,4+8>
u+v = <3,12>
---------------------
Problem 2
We follow the same idea as the previous problem.
w = <8,-1>
g = <-1,1>
w+g = <8+(-1),-1+1>
w+g = <7,0>
---------------------
Problem 3
Similar to addition, subtracting vectors has us subtract the corresponding coordinates.
The general template is:
u = <a,b>
v = <c,d>
u-v = <a-c,b-d>
With this in mind, we can say the following:
g = <-1,1>
z = <-3,-3>
g-z = <-1-(-3),1-(-3)>
g-z = <-1+3,1+3>
g-z = <2,4>
---------------------
Problem 4
Follow the same idea as problem 3 above.
v = <6,8>
u = <-3,4>
v-u = <6-(-3),8-4>
v-u = <6+3,8-4>
v-u = <9,4>
---------------------
Problem 5
Refer to problem 1.
y = <1,1>
v = <6,8>
y+v = <1+6,1+8>
y+v = <7,9>
---------------------
Problem 6
u = <-3,4>
h = v+y = y+v = <7,9>
u+v+y = u + h
u+v+y = <-3,4> + <7,9>
u+v+y = <-3+7,4+9>
u+v+y = <4,13>
Notice how I built off the result of problem 5 when I used h = v+y. The vector v+y is the same as y+v because the order of addition doesn't matter. Also, the idea mentioned in problem 1 can be extended for more than two vectors.
Related Questions
May someone help me please!
Answers
Answer: i got you my boi answer is x > -3
Step-by-step explanation:
Determine if triangles with the following side lengths are possible.
A: 5 8 4
B: 3, 6, ,2
C: 7, 5, 4,
Answers
Answer:
a is possible
b is not possible
c is possible
Write the inequality represented by the graph below.
Answers
Does not pass 0,0
If I’m wrong so sorry
Sierra left $17.75 as a tip for a waiter. This was 20% of the bill before the tip. How much was her total bill before the tip
Answers
Answer:
$31.95 Before tip.
Step-by-step explanation:
I believe you should just add 17.75+80%=31.95
Check: 88.75 x 0.2 = 17.75
The cost of 5 scarves is $33.75. What is the unit price?
Answers
Answer:
$6.75
Step-by-step explanation:
Divide 33.75 by 5, they are $6.75 each
What is -0.4 times -5/6?
Answers
Answer:
0.3
Step-by-step explanation:
hopes this helps
Helppp I’m having problems with fractions
Answers
Answer:
The fourth one
Step-by-step explanation:
I know that is correct
How do I find the inverse?
Answers
g(x) as given has no inverse because there are instances of two x values giving the same value of g(x). For instance,
x = -1 ⇒ g(-1) = 4 (-1 + 3)² - 8 = 8
x = -5 ⇒ g(-5) = 4 (-5 + 3)² - 8 = 8
Only a one-to-one function can have an inverse. g(x) is not one-to-one.
However, if we restrict the domain of g(x), we can find an inverse over that domain. Let [tex]g^{-1}(x)[/tex] be the inverse of g(x). Then by definition of inverse function,
[tex]g\left(g^{-1}(x)\right) = 4 \left(g^{-1}(x) + 3\right)^2 - 8 = x[/tex]
Solve for the inverse:
[tex]4 \left(g^{-1}(x) + 3\right)^2 - 8 = x[/tex]
[tex]4 \left(g^{-1}(x) + 3\right)^2 = x + 8[/tex]
[tex]\left(g^{-1}(x) + 3\right)^2 = \dfrac{x + 8}4[/tex]
[tex]\sqrt{\left(g^{-1}(x) + 3\right)^2} = \sqrt{\dfrac{x + 8}4}[/tex]
[tex]\left| g^{-1}(x) + 3 \right| = \dfrac{\sqrt{x+8}}2[/tex]
Recall the definition of absolute value:
[tex]|x| = \begin{cases}x & \text{if }x\ge0\\-x&\text{if }x<0\end{cases}[/tex]
This means there are two possible solutions for the inverse of g(x) :
• if [tex]g^{-1}(x) + 3 \ge 0[/tex], then
[tex]g^{-1}(x) + 3 = \dfrac{\sqrt{x+8}}2 \implies g^{-1}(x) = -3+\dfrac{\sqrt{x+8}}2[/tex]
• otherwise, if [tex]g^{-1}(x)+3<0[/tex], then
[tex]-\left(g^{-1}(x) + 3\right) = \dfrac{\sqrt{x+8}}2 \implies g^{-1}(x) = -3-\dfrac{\sqrt{x+8}}2[/tex]
Which we choose as the inverse depends on how we restrict the domain of g(x). For example:
Remember that the inverse must satisfy
[tex]g\left(g^{-1}(x)\right) = x[/tex]
In the first case above, [tex]g^{-1}(x) + 3 \ge 0[/tex], or [tex]g^{-1}(x) \ge -3[/tex]. This suggests that we could restrict the domain of g(x) to be [tex]x \ge -3[/tex].
Then as long as [tex]x \ge -3[/tex], the inverse is
[tex]g^{-1}(x) = -3+\dfrac{\sqrt{x+8}}2[/tex]
2. Which of these situations can be represented by the
opposite of -25?
A. scuba diver is 25 feet below sea level.
B. Leon gets paid $25.
C. An airplane descends 25 feet.
D. Sara has a $25 debt.
a
Answers
Answer:
B
Step-by-step explanation: Because he gains $25, which is positive
What is the sum of the first 32 terms in the arithmetic
series 3 + 10 + 17 + …?
Answers
Answer:
30
Step-by-step explanation:
Haley is the head nurse at a hospital and must order supplies. If 1 4 of a package of bandages lasts 1 8 of the month, how many packages of bandages are needed for the entire month?
Answers
Answer:
2 Packages
Step-by-step explanation:
To last the whole month, we would need to multiply 1/4 by 8.
1 *8 = 8
4 * 1 = 4
8/4 = 2
=
WHOLE NUMBERS AND INTEGERS
Word problem on unit rates associated with ratios of w
Charlie types at a rate of 14 words per minute.
How many words does he type in 2 minutes?
i words
OB
S
?
Answers
hope this is helpful
Steph makes 90 % 90%90, percent of the free throws she attempts. She is going to shoot 3 33 free throws. Assume that the results of free throws are independent from each other. Let X XX represent the number of free throws she makes. Find the probability that Steph makes exactly 1 11 of the 3 33 free throws. You may round your answer to the nearest hundredth. P ( X = 1 ) =
Answers
Using the binomial distribution, it is found that there is a 0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.
For each free throw, there are only two possible outcomes, either he makes it, or he misses it. The results of free throws are independent from each other, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
He makes 90% of the free throws, hence [tex]p = 0.9[/tex].He is going to shoot 3 free throws, hence [tex]n = 3[/tex].The probability that he makes exactly 1 is P(X = 1), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{3,1}.(0.9)^{1}.(0.1)^{2} = 0.027[/tex]
0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.
To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377
Answer:
0.03
Step-by-step explanation:
I just did it on Khan
If g(x) =3-2x, find g(-1) (show work)
Answers
=5
Hence the correct answer should be 5
please help ASAP! A circular plate has a radius of 13 centimeters.
What is the area of the plate?
Use 3.14 for π.
Answers
Answer:
area = PI x r^2
area = 3.14 x 13^2
area = 3.14 x 169
area = 530.66
Step-by-step explanation:
Plz Mark as brainliest hope this helps
please help me if you know thank you :)))
Answers
Answer:
a) -inf b) DNE c) 2 d) 3 e) 1
Step-by-step explanation:
Im not 100% sure about c and d
What is the area of 2.4
Answers
I will give brainiest to the best answer.
what is half of the square root of 72?
Plz answer in square root form. Thank you
Answers
Answer:
3sqrt(2)
Step-by-step explanation:
72=6^2 x 2 so sqrt(72)=6sqrt(2)
divide by 2 to get 3sqrt(2)
Answer:
[tex]answer \: is \: = \: \sqrt[6]{2} [/tex]
[tex]to \: know \: the \: answer \: with \: proof[/tex]
[tex]refer \: to \: the \: above \: attatchmet \: [/tex]
Hope this helps you !!first middel schooler to answer gets brainlest what is 124x6?
Answers
Answer:
744
Step-by-step explanation:
I did help on this question
Answers
Answer:
6/7
Step-by-step explanation:
400+5 please help me
Answers
Explanation 400+5=405
Answer:
the answer is defently 405
Step-by-step explanation:
so you have 400 and 5 and 400+5=405
Hi guys, I need some help with this. Look at the screenshot below.
Answers
Answer:
20%
Step-by-step explanation:
54-45 = 9
9/45 = 0.2
0.2*100 = 20
Production increased 20%
How i can answer this question?
Answers
Answer:
A and D
Step-by-step explanation:
[tex]20 r + 60t = 20(r+3t) = 4\cdot 5(r +3t)=4(5r +15t)[/tex]
HELP PLZZ! 50 POINTS!!
Answers
Answer:
24%
Step-by-step explanation:
consider bag 1: there are 3 vowel tiles (out of 5) in this bag so the probability of choosing a vowel tile would be 3/5
bag 2: there are 2 vowel tiles (out of 5) in this bag so the probability of choosing a vowel tile would be 2/5
to find the probability of getting two vowel tiles (one from each bag), you multiply these two probabilities together:
3/5 *2/5 to get 6/25 which is equal to 0.24 or 24%
3. Suppose Natalie put $2,400 in the bank for 5 years. She makes $9.20 in interest
every month. What is the annual interest rate?
Answers
Annual interest rate is 4.6%
hope this helps!
how many solutions does the quadratic function f(x)=-x²
Answers
Answer: 4
Step-by-step explanation:
Slope = -2.000/2.000 = -1.000
x-intercept = 0/1 = 0.00000
f-intercept = 0/1 = 0.00000
x = 0
The diagram shows a triangle.
What is the value of b?
37
143
90
30
Answers
Answer:
37
Step-by-step explanation:
All angles of a triangle have to add up to 180 degrees
180 - 113 - 30 = 37
37+113+30 = 180
2) A right isosceles triangle has legs that are each 10 mm. What is the length of its hypotenuse?
round to the nearest whole number
Answers
[tex](b) ^{2} + {(h)}^{2} = {(x)}^{2} \: \: \: ( by \: \: \: pythagoras \: \: \: theorem)\\ = > {(10)}^{2} + {(10)}^{2} = {(x)}^{2} \\ = > 100 + 100 = {x}^{2} \\ = > 200 = {x}^{2} \\ = > x = \sqrt{200} mm \\ = > x = \sqrt{2 \times 2 \times 2 \times 5 \times 5}mm \\ = > x = 2 \times 5 \sqrt{2} mm \\ = > x = 10 \sqrt{2} mm[/tex]
So, the length of the hypotenuse is 10√2 mm.Answer:
10√2 mm.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Plz help fast I will mark Brainlyist
Answers
Answer:
-4 -2 1 the top are 2/6 -2/8
Step-by-step explanation:
I don't know if that's right but yea hope that helps
Can you calculate problems involving percent? pls help i WILL make as brainlyst pls i dont wanna fail
Answers
Answer:
45 is 150% of 30.
Step-by-step explanation:
To find what percent of 30 is 45 first we must turn it into a fraction and simplify.
fraction form: 45/30
simplified fraction form: 3/2
now to find percent you have to put a number over one hundred.
3/2 = ?/100
Right now our denominator is 2. By what number can we multiply 2 to get to 100? The answer is 50.
Now that we have multiplied the denominator by 50, we also have to multiply the numerator (3) by fifty. 3 x 50 = 150
so now we put the new numerator and denominator together and get 150/100
The answer is 150%