Answer:
The vector that describes their hike from their starting position to their final destination is [tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex].
Step-by-step explanation:
In this problem we assume that orthogonal axes coincide with the north and east. We proceed to translate each sentence from statement into vectorial equations:
(i) A group of hikers walks 3 miles east and then 1 mile north:
[tex]\vec r_{A} = 3\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex]
(ii) After taking a break, they then hike 4 miles east to their final destination:
[tex]\vec r_{B} = 4\,\hat{i}\,\,\,[mi][/tex]
The vector that describes their hike from their starting position to their final destination is the sum of the vectors deducted above. That is:
[tex]\vec r = \vec r_{A}+\vec r_{B}[/tex] (1)
[tex]\vec r = (3\,\hat{i}+1\,\hat{j})+4\,\hat{i}\,\,\,[mi][/tex]
[tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex]
The vector that describes their hike from their starting position to their final destination is [tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex].
1. (9х3 + 5x)
- 7x - 3x)
Help me solve this and give me the answer.
Answer:
2x³ + 8x
General Formulas and Concepts:
Pre-Alg
Distributive PropertyAlg I
Combining like termsStep-by-step explanation:
Step 1: Define
(9x³ + 5x) - (7x³ - 3x)
Step 2: Solve
Distribute negative: 9x³ + 5x - 7x³ + 3xCombine like terms: 2x³ + 8xhi guys ummm what 28 multiplied by 4
Answer:
112 :D hope this helps
Step-by-step explanation:
112
Answer:28x4=112
Step-by-step explanation:
Hope this helps and have a wonderful thanksgiving!!
Find the area of the trapezoid.
Answer:
c
Step-by-step explanation:
help me please thanks in advance
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
From up to down ;
_________________________________
The first box :
[tex]f(n) = 3. ({2})^{n - 1} [/tex]
The second box :
[tex]f(n) = 2. ({4})^{n - 1} [/tex]
The third box :
[tex]f(n) = 2. ({6})^{n - 1} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
What is the slope of the line that passes through points (-10, -3) and (5, 3)?
Answer:
m = 6/15
Step-by-step explanation:
Answer:
(-0.4,1)
Have a beautiful day, and stay safe.
Can 6/-6 be simplified?
Answer:
yes. it would technically be -1
Step-by-step explanation:
Because fractions are technically division, 6 ÷-6 = -1
Answer:
yes it can be simplified to 6/6 thats the lowest term
Step-by-step explanation:
hoped it helped
can u give me a brainlist?
4.7 x 10^-3___ 2^2
=
<
>
Answer:
< (less than)
Step-by-step explanation:
4.7*0.001 ___ 4
0.0047___4
0.0047 < 4
A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows: Money-market 25% High-risk stock 10% Moderate-risk stock 15% Short bond 12% Intermediate bond 7% Long bond 8% Balanced 23% A customer who owns shares in just one fund is randomly selected. a) What is the probability that the selected individual owns shares in the balanced fund? For your answer, please report the answer in decimals. For example, 50% would be submitted as .5.
Part b and c are missing and they are;
b. What is the probability that the individual owns shares in a bond fund? c. What is the probability that the selected individual does not own shares in a stock fund?
Answer:
A) P(balanced fund) = 0.23
B) P(bond fund) = 0.27
C) P(no stock fund) = 0.75
Step-by-step explanation:
We are given the percentages of customers in the different funds as follows:
Money-market: 25%
High-risk stock: 10%
Moderate-risk stock: 15%
Short bond: 12%
Intermediate bond: 7%
Long bond: 8%
Balanced: 23%
A) From the percentages given, we can see that the balanced fund is 23%.
Thus,this represents the probability as addition of all the given percentages gives 100%
Thus, probability that the selected individual owns shares in the balanced fund is;
P(balanced fund) = 23% = 0.23
B) From the percentages given, bond funds given are;
Short bond: 12%
Intermediate bond: 7%
Long bond: 8%
Thus,
probability that the individual owns shares in a bond fund is;
P(bond fund) = 12% + 7% + 8%
P(bond fund) = 27% = 0.27
C) Probability that the selected individual doesn't own shares in a stock fund is;
P(no stock fund) = 1 - P(stuck fund)
P(stuck fund) = High-risk stock +
Moderate-risk stock = 10% + 15% = 25% = 0.25
Thus;
P(no stock fund) = 1 - 0.25 = 0.75
-4r +4 > 3r – 4
Any help?
What is the binary number for 13
Step-by-step explanation:
[tex]13=8+4+1=2^3+2^2+2^0=\bold1\cdot2^3+\bold1\cdot2^2+\bold0\cdot2^1+\bold1\cdot2^0\\\\13_{10}=1101_2[/tex]
Answer:
♡ hola, madi here ♡
- 1101 is the answer.
hope your thanksgiving is amazing.
know your loved & make sure to
hug a loved one today.ʕ ꈍᴥꈍʔ
✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧
Step-by-step explanation:
solve for the indicated information. solve for x.
Answer:
-9
Step-by-step explanation:
x + 109 + x + 89 = 180° because these angles are supplementary
2x + 198 = 180 subtract 198 from both sides
2x = - 18 divide by 2
x = -9
10 = -3 + x
Question 4 options:
x = 13
x = 7
x = -30
x = -7
Step-by-step explanation:
10= -3+x
10+3=x
x=13 is ur ans
A box has 39kg mass? the surfcae are of the box
has 150m. calculate the pressure exterted by the box on the floor
Answer:
2.548 pascal
Step-by-step explanation:
force=mass×acceleration due to gravity
force=39×9.8
pressure(p)=force/area
p=382.2/150
p=2.548 pa
A glass is 1/3 full. Then 40cm3 of orange juice is poured in.
The glass is now 5/7 full. What is the total volume of the glass?
Answer:
105cm3
Step-by-step explanation:
subtract 5/7- 1/3
8/21=40cm3
21/21=105cm3=total volume
Answer:
5
Step-by-step explanation:
The legs of a right triangle are 5 units and 15 units. What is the length of the hypotenuse? (4 points)
1. 200 units
2. square root 200 units
3. square root 250 units
4. 250 units
Answer:
3.) Square Root of 250
Step-by-step explanation:
is this right babes xoxo
Answer:
Step-by-step explanation:
d: 24 + 5√ 30/6, 24 − 5√ 30/6
6x (x - 8) - 29 =
−3x=2
2cos(x)−√3=0
2sin2(x)−sin(x)=0
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!
Answer:
the 3rd istansa ha?
Step-by-step explanation:
Sana maka tulong
Evaluate each value expression for the given value of the variable : 5y- 8 when y=3
Cisco collected 53 pieces of candy on Halloween. He put away 4 dozen pieces to save for later and ate the rest. What percentage of his candies did Cisco put away for later?
he put away 91% of the candy for later because 100 divided by 53 is 1.89 and 1.89 multiplied by 48 equals 90.72 which rounds up to 91. hope you get a good grade!
Which expression shows the product of 1.5×106 and 12,000?
note the the six is the power for 10
Answer:
Step-by-step explanation:
3/)038\=8262
Help please I mark brainliest
Answer:
negative 5w to the power of 3 .over w to the power of 4
simplify 15 and -3 to (-5/1)
make w to 4 to 4 -3w to the power of 8
then power simplification 6 over 8 to 3 and 4.
How does the graph of f(x) = |x| compare with the graph of g(x) = -2|x|
Answer:
the graph of g(x) will be vertically stretched by -2 and it will be steeper
Step-by-step explanation:
The question is in the link pls help a student out guys this is my a question for my end of semester.
Answer:
4 <= pen weight <= 10
Step-by-step explanation:
<= , less than or equal to
an elevator starts at the 6th floor it goes up 7/4 plus and then it goes down 10 floors. a second elevator starts on the 20th floor. it goes down five floors three times, and then it goes up 12 floors. which elevator ends up on a higher floor?
Answer:
Elevator 2
Step-by-step explanation:
Well let's make this simply by focusing on elevator number 1
it is on the 6th floor so we represent that as
6
Now it goes up 7/4 which is also the same as 1 3/4
the equation looks like this:
6+1 3/4
Add them together:
7 3/4
Now it goes down 10 meaning it is -10 add that to the equation:
7 3/4 - 10
Which is -2 1/4
Elevator number 1 is at floor number -2 1/4
Now for Elevator number 2
It is on the 20th floor which will make the equation looks like this:
20
Now it goes down five floors three times which can be represented like this:
20-5(3)
Simplify (Multiplication goes first according to the Order of Operations)
20-15= 5
Now it is 5 but it goes up 12 floors so the equation looks like this:
5+12
Simplify:
17
Now you could tell that elevator 2 ends up on a higher floor
Hope this helps!
x reduced by 13 is at least 15
Answer:
Step-by-step explanation:
x-13≤15
x≤28
Identify the most precise name for the angle pair shown in the picture.
These are complementary angles because from what this shows, they add up to 90 degrees. BTW Plz give brainliest, I need 5 to get to the next level.
im tired of brainly today i will sue you if you dont clean up your ways!
Sincerely- Donald J Trump
Answer:
Great speech!
Step-by-step explanation:
I need help!!!!
Write an equation of the line that passes through the points.
(0, −2), (4, −2)
First you need to find the slope: (y2 - y1)/(x2 -x1) = (-4 -(-4))/(0-2) = 0. So the line is horizontal, which means the y coordinate is constant and equal to -4, so the equation of the line is y = -4.
Joseph has 1/2 of a sub left after lunch. He eats 1/4 of this amount for snack. what fraction of a whole sub did Joseph eat for snack
Answer:
Step-by-step explanation:
I believe the answer would be 1/4 of the sub. Because they asked about the whole sub. And it says he ate 1/4 of the amount of that half of the sub for snack. So out of the whole sandwich it would be 1/4!
If it’s not the answer your looking for you can take it off...
But...
Hope it helps
One root of f(x)=x^3-9x^2+26x-24 is x = 2. What are all the roots of the function? Use the Remainder Theorem.
Answer:
The roots of the of the function are 2,3 and 4.
Step-by-step explanation:
The given function is
f(x) = x³ - 9x² + 26x - 24
It is given that x=2 is a root of the function. So (x-2) is a factor of f(x).
According to the remainder theorem if a function is divided by (x-c), then the remainder is equal to f(c). If f(c) is equal to 0, therefore c is the root of the function.
Use synthetic method to divide f(x) by (x-2).
f(x) = (x - 2) (x² - 7x + 12)
f(x)= (x - 2) (x² - 4x - 3x + 12)
f(x)= (x - 2) (x(x - 4) - 3(x - 4))
f(x)= (x - 2) (x - 4) (x - 3)
To find the roots equation the function equate the function equal to 0.
0 = (x - 2) (x - 4) (x - 3)
Equate each factor equal to 0.
x = 2,3,4
Therefore the roots of the function are 2,3 and 4.
(btw this is someone else's answer i found since i got a little confused myself heh)
Answer:
The roots of the of the function are 2,3 and 4.
Step-by-step explanation:
\The roots of the of the function are 2,3 and 4.