The correct form of vector v expressed as a linear combination of the unit vectors i and j is [tex]\vec v = 10\,\hat{i} + 100\,\hat{j}[/tex].
What is the value of a vector with respect to another vector?
First, we need to determine the value of the vector u by subtracting two vectors whose initial points are at the origin:
[tex]\vec u = (19\,\hat{i} - 8\,\hat{j}) - (21\,\hat{i} + 12\,\hat{j})[/tex]
[tex]\vec u = - 2\,\hat{i} - 20\,\hat{j}[/tex] (1)
According to the statement, vector v is antiparallel to vector u and its magnitude is five times as the magnitude of vector v, which means that (1) must be multiplied by two scalars:
[tex]\vec v = - 1 \,\cdot \, 5\cdot \vec u[/tex] (2)
Please notice that antiparallelism is represented by the scalar - 1, whereas the dilation is represented by the scalar 5.
[tex]\vec v = 10\,\hat{i} + 100\,\hat{j}[/tex]
The correct form of vector v expressed as a linear combination of the unit vectors i and j is [tex]\vec v = 10\,\hat{i} + 100\,\hat{j}[/tex].
Remark
The statement presents typing mistakes, correct form is shown below:
Vector u has initial points at (21, 12) and its terminal point at (19, - 8). Vector v has a direction opposite that of u, whose magnitud is five times the magnitud of v. Which is the correct form of vector v expressed as a linear combination of the unit vectors i and j?
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A sphere has a radius of 1 inch. What is the volume of the sphere, in cubic inches?
Answer:
V≈ 4.19in³
Step-by-step explanation:
V=4/3 π r³= 4/3 ·π· 1³ ≈4.18879in³
ANSWER ASAP THEIRS A SCREEN SHOT TO HELP SHOW
AND TELL WHY PLEASE
Zenaida shares 1/5 bag of cookies equally among herself and 2 her friends. What fraction of the cookie bag will each girl receive?
Answer:
1/15
Step-by-step explanation:
1/5 divided by 3
=1/5 times 1/3
= 1 × 1
-------
5 × 3
= 1/15
Answer:
The answer is 1/10
Step-by-step explanation:
1/5 divided by 2
1/5 times 1/2
1 x 1 = 1
5 x 2 = 10
1/10
Graph this function: y+6=1/2(x-1)
Answer:
Hope this helps! Have a great day!
Step-by-step explanation:
Answer:
[tex]y=\frac{1}{2}x-\frac{13}{2}[/tex]
Step-by-step explanation:
Move all terms not containing y to the right side of the equation.
[tex]y = \frac{x}{2}-\frac{13}{2}[/tex]
Rewrite
[tex]y=\frac{1}{2}x-\frac{13}{2}[/tex]
Use the slope-intercept form to find the slope and y-intercept.
Slope: [tex]\frac{1}{2}[/tex]
y-intercept: [tex](0, -\frac{13}{2})[/tex]
good luck, hope this helps :)
n times 8.
The algebraic expression is _____.
Please help my assignment is due today
Answer:
Hope this helps, thank you !!
6. Louie's Lemonade is available in 2.5 gallon jugs. A serving is 8 fluid ounces (fl. Oz.). How many servings are in one jug of lemonade? 1 cup = 8 oz. 1 gallon = 16 cups
Answer:
5 servings
Step-by-step explanation:
2.5 gal x 16 cups each= 40 cups total
1 cup = 8 oz
40 oz / 8 oz = 5 servings
What are the dimensions of the fenced in area if he only has 320 yards and the length is 5 yards more than 5 times the width
Answer:
Length = 134.16yds, width = 25.8yds
Step-by-step explanation:
Perimeter of the yard = 2(L+W)
L is the length
W is the width
If length is 5 yards more than 5 times the width, then;
L = 5W+5
Substitute
P = 2(5W+5+W)
P = 2(6W+5)
P = 12W+10
320 = 12W +10
12W = 320-10
12W = 310
W = 310/12
W = 25.8
Since L = 5W+5
L = 5(25.8)+5
L = 129.16+5
L = 134.16yds
Length = 134.16yds, width = 25.8yds
5TH GRADE MATH GIVING BRAINLIESTT
Answer:
graph A
Step-by-step explanation:
When the cost is at 4 dollars, the feet is at 1. Hope this helps!
Answer:
A
Step-by-step explanation:
The only number that comes across 4x and 1y is a.
Which of the following number is odd? *
A. 68,458
B. 92,162
C.28,952
D. 28,923
Answer:
D. 28,923
Step-by-step explanation:
We are given four numbers and are asked to find out which number is odd.
An odd number is a number that cannot be split evenly, if it is split, it will end up in either a fraction or a decimal.
Even numbers are the opposite, so which would be the answer?
This would be D. 28,923. 28,923 divided by 2 gives you a decimal. Which is 14461.5, all the other choices give you whole numbers.
a x + b y is equal to 12
Answer:
y= -a*x + 12
b b
Step-by-step explanation:
ax+by=12 (subtract "ax" from both sides so that the one on the left will become zero and we will have "by" )
by= -ax+12(divide both side by "by" so that we will have the equation as "y=mx+b")
finally the result will be:
y= -a*x + 12
b b
solve for x
3x + 4 = 13
Answer:
x = 3
Step-by-step explanation:
3x = 13-4
=> 3x = 9
=> x = 3
In the study of pesticide use and breast cancer, researchers evaluated pesticide use during the entire life of the respondents. How would you expect the results to have been affected if the researchers collected exposure history spanning the previous 20 years only?
Answer:
Kindly check explanation
Step-by-step explanation:
A common problem with most research designs is bias, which could be introduced win several ways one if which is the favored selection of certain variables rather than being randomized. In the scenario above, the sampling time frame introduces a bias into the design as the tune span of pesticide use does not allay with that of the exposure history of the respondent. Therefore an entire lifetime evaluation of one variable and just 20 years evaluation of the other introduces a sampling bias into the research design. Similarly, evaluation the type of pesticide usage over certain time period may need to be considered as the effect of very old pesticides may differ from those used very recently.
8.) In a carnival game, you gain $2 if you win and lose $1 if you do not win. If
someone plays 30 times and has a net loss of $6, how many wins were there?
Answer:
Step-by-step explanation:
Somebody plays 30 times
L+W = 30, where L and W are number of losses and wins, respectively.
L = 30-W
Net after 30 plays is $6
2W - 1L = 6
2W - (30-W) = 6
3W = 36
W = 12
W = 18
17 wins
help pls it has to be in an equation and ill mark brainliest.
Answer:
y = 1/6x+2
Step-by-step explanation:
1/6=slope 2=y int. hope this kinda helps
If A = 56, then find c
Answer:
Since A= 56 then B=56 so A+B=112
The whole tringle must be 180 degrees
So 180-112=68
SO C=68
I believe
part of me wants to say that the answer is A , but the other part of me is saying the answer is D, which one is it?
Answer:
Pretty sure it's A
A pound of fudge is cut into 8 squares. Each square sells for $2.25.
Which equation represents the total cost, C, for x
squares of fudge?
Mrs. Gafni feeds her dog, Rusty, 3/4 cup of dog food each day. How much does she feed Rusty each week? Write the answer as a mixed number.
Answer: 5¹/₄ cups of dog food
Step-by-step explanation:
There are seven days in a week.
If she feeds the dog 3/4 every day, the amount she feeds Rusty every week is:
= 3/4 * 7
= 21/4
= 5¹/₄ cups of dog food
On a team, 4 girls and 2 boys scored a total of 28 points. The difference between the number of points scored by the 4 girls and the number of points scored by the 2 boys is 12. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy Each girl scored points.
Answer:
Each girl earned 2 points
Each boy earned 5 points
Step-by-step explanation:
Let x represent the number of points one girl earned
Let y represent the number of points one boy earned
4x + 2y = 28
4x - 2y = 12
8y = 40
y = 5 points
4x + (2)(5) = 28
4x + 20 = 28
4x = 8
x = 2 points
Each girl earned 2 points
Each boy earned 5 points
Please help!!!!!!!!!!!!!!!!!!!!!
Ć
9
e. m5 =
j. mZ11 =
P
12. If a || D, mZ2 = 63°, and m29 = 105°, find the measure of each missing angle.
a. mZ1 =
e. m26 =
a
i. mZ11 =
6
4
b. m.Z3 =
f. m27 =
j. mZ12 =
7
8
11
12
b
c. m 24 =
g. mZ8 =
10/9
1413
k. mZ13 =
d. m.25 =
d
h. mZ10 =
I. m Z14 =
For questions 13-15, find the values of x and y if I || m.
13.
(10x
17)
I am so confused RN what are u asking
Richard bought a pair of shoes for $37.00, a tie for $22.00, and a new belt for $17.00. If the sales tax is 7.5%, how much sales tax did Richard pay for these items?
It seems to me, that if you were to add the price of all three items together, then multiply by 7.5%, you'd have the answer. Remember that 7.5% = .075 ... in other words, that is the number you would multiply the sum of the items by. Does that help?
Plz help me step by step explanation would help for work plzzzz And Thank you PLEASE
Answer:
i hope this helps
Step-by-step explanation:
Answer:
r = -43. that's the result
-75x + 200 represents a bank account balance after x months. What is the initial amount in the
account? What is the rate of change?
which function defines the sequence -16,-22,-28,-34 where f(10)= -70
Answer:
f(n) = -6n - 10.
Step-by-step explanation:
This is arithmetic sequence with first term a1 = -16 and common difference d = -6.
So f(n) = a1 + d(n - 1)
= -16 - 6(n - 1)
= -16 - 6n + 6
= -6n - 10.
Checking:
f(10) = -6(10) - 10 = -70.
The function that defines the sequence is f(n) = -6n - 10.
What is an Arithmetic Sequence ?A sequence of numbers which have a relation between them and the consecutive numbers increase or decrease by a fixed amount is called as an Arithmetic Sequence.
The sequence given is -16,-22,-28,-34
This is arithmetic sequence
first term a1 = -16
common difference d = -6.
The nth term of an arithmetic sequence is given by
f(n) = a1 + d(n - 1)
f(n) = -16 - 6(n - 1)
f(n)= -16 - 6n + 6
f(n)= -6n - 10.
To verify this
f(10) = -6(10) - 10 = -70.
Therefore , The nth term is given by f(n)= -6n - 10.
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I need help in this sum plss
Answer:
7.11111111112
Step-by-step explanation:
there should be 10 1's
Answer: look at the picture
Step-by-step explanation: hope this help :)
end behavior of f(x)=-4(1/2)^x+4
Answer:
x=0
Step-by-step explanation:
Answer: f(x)= 4 as x goes to infinity and f(x) continues to negative infinity as x goes to negative infinity
Step-by-step explanation:
Ignore the Brief Introduction
Answer:
pretest
1. B
2.A
3.B orchid ....
4.C
5.C
looking back
1.E
2.A
3.B
4.C
5.D
Helpppppp!!!!!!!!!!!!!!!!!!!!!!!!!
Daily ticket sales for a music festival are as follows: 454, 635, 454, 843, 1951, 1999. What are the mean, median, and mode of the data?