Correct answers only and answer all of them please
Put number by answer ex:(1:A, 2:B, 3:C,.....etc)
I'll mark brainliest!!
Answers
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1
[tex]u\cdot v=\langle4,-7\rangle\cdot\langle-6,9\rangle=(4*-6)+(-7*9)=-24-63=-87[/tex], so A is correct. Remember to multiply the horizontal components with each other and then add that to the product of the vertical components to get the dot product.
Problem 2
Two vectors are orthogonal if their dot product is 0, which also means that they must be perpendicular to each other, so we can check this:
[tex]u\cdot v=(6*-24)+(-9*36)=-144-324=-468[/tex]
Since the dot product of the two vectors is 0, they aren't orthogonal. Therefore, they are parallel since [tex]v=4u[/tex], making A the best choice.
Problem 3
Recall that the angle between two vectors is [tex]\theta=cos^{-1}(\frac{u\cdot v}{||u||*||v||})[/tex] where [tex]u\cdot v[/tex] is the dot product of vectors [tex]u[/tex] and [tex]v[/tex] while [tex]||u||[/tex] and [tex]||v||[/tex] are the magnitudes of vectors [tex]u[/tex] and [tex]v[/tex] respectively. If we let [tex]F_1=u[/tex] and [tex]F_2=v[/tex], we can then continue on:
[tex]u\cdot v=(190*128)+(160*-121)=24320+(-19360)=4960[/tex]
[tex]||u||=\sqrt{190^2+160^2}=\sqrt{61700}=10\sqrt{617}[/tex]
[tex]||v||=\sqrt{128^2+(-121)^2}=\sqrt{31025}=5\sqrt{1241}[/tex]
[tex]\theta=cos^{-1}(\frac{u\cdot v}{||u||*||v||})\\\\\theta=cos^{-1}(\frac{4960}{10\sqrt{617}*5\sqrt{1241}})\\\\\theta\approx83.49^\circ\approx83^\circ[/tex]
Therefore, B is the correct answer
Problem 4
We observe that [tex]u=\langle-8,-9\rangle[/tex] and [tex]v=\langle3,7\rangle[/tex], so [tex]-3(u\cdot v)=-3[(-8*3)+(-9*7)]=-3[-24+(-63)]=-3(-87)=261[/tex]. This means that B is the correct answer.
Problem 5
Recall that the projection of a vector [tex]u[/tex] onto [tex]v[/tex] is [tex]proj_vu=(\frac{u\cdot v}{||v||^2})v[/tex], thus:
[tex]proj_vu=(\frac{u\cdot v}{||v||^2})v\\\\proj_vu=(\frac{(-10*4)+(-3*8)}{\sqrt{4^2+8^2}^2})\langle4,8\rangle\\\\proj_vu=(\frac{-40+(-24)}{\sqrt{80}^2})\langle4,8\rangle\\\\proj_vu=(\frac{-64}{80})\langle4,8\rangle\\\\proj_vu=(-\frac{4}{5})\langle4,8\rangle\\\\proj_vu=\langle-\frac{16}{5},-\frac{32}{5}\rangle[/tex]
Therefore, D is the correct answer
Related Questions
Two communication companies offer calling plans. With company x it cost $.30 to connect and then $.05 for each minute with company why it cost $.20 to connect and $.04 each minute. Simplify an expression that represents how much more company x charges incense for n minutes
Answers
Step-by-step explanation:
m = number of minutes
x(m) = 0.05m + 0.3
y(m) = 0.04m + 0.2
to find the difference between both company plans we need to subtract y from x :
0.05m + 0.3 - (0.04m + 0.2) =
= 0.05m + 0.3 - 0.04m - 0.2 =
= 0.01m + 0.1
company x charges for n minutes
$0.01n + $0.1
more.
A card is randomly selected from a standard deck of 52 cards. What is the probability that it is a
2 or an 8?
Answers
Answer:
c
Step-by-step explanation:
for this question, it helps to know what cards are in the deck. since there are four of everything (four suits), there will be four 8's and four kings. this means that we are aiming for one of 8 cards. therefore, 8/52= .1538 or answer C.
Given f (x) = 2x^2 + 1 and g(x) = 3x – 5 , find the
following
f(g(2))
Answers
Answer:
3Step-by-step explanation:
Given functions:
f(x) = 2x² + 1g(x) = 3x - 5Solve in two steps
Find g(2)
g(2) = 3*2 - 5 = 6 - 5 = 1Find f(1)
f(1) = 2*1² + 1 = 2 + 1 = 3Use the circle graph to determine how
many hours each day Sariah spends
on each activity.
School:
hours
Becky's Day
Eating
hours
10%
Eating:
Sleep:
Free time
15%
Homework
10%
Sleep
40%
Homework:
hours
hours
hours
School
25%
Free time:
Answers
Answer:
school=6 hours
eating= 2.4 hours
sleep= 9.6 hour
homework= 2.4 hours
free time= 3.6 hours
Step-by-step explanation:
The graph shows the amount customers pay for x pounds of cheese at a deli counter. Customers pay a certain price per pound up to exactly 5 pounds. If a customer buys more than 5 pounds. then the price per pound for the entire purchase is discounted.
Answers
The amount the customers pay is an illustration of a piecewise functions
The equations of the piecewise functions are: [tex]y = \left[\begin{array}{cc}5x&0 < x \le 5\\4x&x > 5\end{array}\right[/tex]
How to determine the equation of the piecewise function?For the first function, we have the following points.
(x,y) = (0,0) and (4,20) for 0 < x <= 5
Since the line passes through the origin, the equation of the line would be:
[tex]y = \frac{y_1}{x_1} * x[/tex]
So, we have:
[tex]y = \frac{20}{4} * x[/tex]
[tex]y = 5x[/tex] 0 < x <= 5
For the second function, we have the following points
(x,y) = (8,32) and (9,36) for x > 5
The equation of the line would be:
[tex]y = \frac{y_1-y_2}{x_1-x_2} * (x - x_1) + y_1[/tex]
So, we have:
[tex]y = \frac{36-32}{9-8} * (x - 8) + 32[/tex]
[tex]y = 4(x - 8) + 32[/tex]
[tex]y = 4x - 32 + 32[/tex]
[tex]y = 4x[/tex] x > 5
Hence, the equations of the piecewise functions are:
[tex]y = \left[\begin{array}{cc}5x&0 < x \le 5\\4x&x > 5\end{array}\right[/tex]
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Mrs Johnson is planning a bbq. There will be 18 people there. Each person will get 1/4 pound burger. How many pounds of burger meat will mrs Johnson need to buy?
Answers
=18/4
=9/2
Burger meat needed= 4 1/2 or 4.5lbs
slope 4/5 y intersept -8
Answers
How many pairs of shoes do teenagers have? To find out, a group of AP ® Statistics students conducted a survey. They selected a random sample of 20 female students and a separate random sample of 20 male students from their school. Then they recorded the number of pairs of shoes that each student reported having. The data is given in the table.
Let 1 the true mean number of pairs of shoes that male students at the school have and 2 the true mean number of pairs of shoes that female students at the school have.
Answers
The pairs of shoes is an illustration of the point estimate of the population mean.
The teenagers have 30 pairs of shoes
How to determine the number of pair of shoes?
The question is incomplete, as the dataset to determine the number of shoes is not given.
To answer the question, I will use the following dataset
50 26 26 31 57 19 24 22 23 38 13 50 13 34 23 30 49 13 15 51
The sample mean is an estimate of the population mean.
The sample mean is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{50 +26+ 26+ 31+ 57 +19 +24 +22+ 23 +38 +13 +50 +13 +34+ 23+ 30 +49 +13 +15+ 51}{20}[/tex]
Evaluate the sum
[tex]\bar x = \frac{607}{20}[/tex]
Evaluate the quotient
[tex]\bar x = 30.35[/tex]
Approximate
[tex]\bar x = 30[/tex]
Using the assumed values, the teenagers have 30 pairs of shoes
Read more about point estimate at:
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The ratio of yellow crayons to green crayons is 6 : 5.
If there are 18 yellow crayons, how many green crayons are there?
Answers
Answer:
15 Green crayons
Step-by-step explanation:
Ratio Yellow to green crayons
Thus, 6 → Yellow and 5 → Green
6 5
18 x
We need to divide 18 by 6 which is 3
5 x 3 = 15
Hence, Green Crayons ⇒ 15
[RevyBreeze]
15 green crayons
Step-by-step explanation:
Given:
The ratio of yellow crayons to green crayons is 6:5.To Find:
If there are 18 yellow crayons, how many green crayons are there?Solution:
Let,
yellow crayons = 6x green crayons = 5xIf there 18 yellow crayons so,
6x = 18
x = 18/6 = 3 ...(1)
By putting the value of x from equation (1) :-
➝ 5x => 5 × 3
=> 15
Therefore, there are 15 green crayons.
You are asked to make a list of possible 5-character passwords using the first 7 letters of the alphabet. How many distinct passwords can you make? Indicate whether this is a combination or permutation.
Answers
Using the permutation formula, as the order is important, it is found that 2520 distinct passwords can be made.
The order is important as abcde is a different password than edcba, hence the permutation formula is used.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 5 letters are chosen from a set of 7, hence:
[tex]P_{7,5} = \frac{7!}{(7-5)!} = 2520[/tex]
2520 distinct passwords can be made.
More can be learned about the permutation formula at https://brainly.com/question/25925367
HELP ME PLEASE! x = ½ y what is the direct variation
Answers
12 Complete the table to show equivalent times. Seconds Hours Minutes 210 8,400
Answers
Answer:
The easiest way to convert seconds to hours is to divide the number of seconds by 3,600. To understand the reason for this conversion, it can be helpful to set up conversion tables, in which you first convert the number of seconds to minutes, and then the number of minutes to hours.
A line passes through the point , −9−3 and has a slope of 23.
Write an equation in slope-intercept form for this line.
Answers
Answer:
y=23x+204
Step-by-step explanation:
The Slope Intercept Form of the Equation of a Line is y=mx+c
where m is the Slope and c is the y-intercept
so for our problem m=Slope = 23
so the Equation will be y=23x+c
Now to find c just substitute by the given Point
-3=23*-9+c
c=204
so the Equation will be
y=23x+204
Which sentence includes a descriptive adjective in a prepositional phrase?
A) The high-stepping band played with a lively beat.
B) The brass horns sparkled in the sun.
C) Baton-twirlers tossed their tasseled sticks high.
D) They wore tall hats trimmed with braid.
Answers
Answer:
The option c is the descriptive adjective in a prepositional phrases.
a man won a lotto jackpot and he spent 2/5 on luxury cars and 1/4 on buying a house. what fraction of his lotto earnings is remaining.
Answers
Explanation: find the lcd first which is 20 then 2/20 minus 1/20
The fraction of his lotto earnings that is remaining is 7/20.
What is a fraction?A fraction is a portion of a whole or, more broadly, a set of equal pieces.
Let the total amount that the man won in the lotto jackpot is x.
Now, he spent 2/5 of the jackpot on luxury cars and 1/4 on buying a house, therefore, the total spending he will do is,
[tex]\dfrac{2x}{5}+\dfrac{x}{4}[/tex]
Now, the fraction of his lotto earnings that is remaining can be written as,
[tex]x-\dfrac{2x}{5}+\dfrac{x}{4}\\\\\\=\dfrac{x}{1}-\dfrac{2x}{5}-\dfrac{x}{4}\\\\\\=\dfrac{x \times 20}{1 \times 20}-\dfrac{2x \times 4}{5 \times 4}-\dfrac{x\times 5}{4\times 5}\\\\\\=\dfrac{20x-8x-5x}{20}\\\\=\dfrac{7x}{20}[/tex]
Hence, the fraction of his lotto earnings that is remaining is 7/20.
Learn more about Fraction:
https://brainly.com/question/1301963
26=-12y-9+7y what is this answer
Answers
Answer:
[tex]y = - 7[/tex]
Solving steps:
=> 26=-12y-9+7y
Step 1: Simplify both sides of the equation.
make y the subject of formula
=> 26=−12y+−9+7y
=> 26=(−12y+7y)+(−9)
Combine like terms
=> 26=−5y+−9
=> 26=−5y−9
Step 2: Flip the equation.
=> −5y−9=26
Step 3: Add 9 to both sides.
=> −5y−9+9=26+9
=> −5y=35
Step 4: Divide both sides by -5.
.=> [tex] \frac{ - 5y}{ - 5} = \frac{35}{ - 5} [/tex]
=> y = - 7
The trip lasted 21 days. How many weeks did the trip last?
Answers
Answer:
3 is the answer
7 days make one week
21÷7 =3
HELP ASAP WILL GIVE BRAINLIEST!!!
This figure represents a design that is sewn onto a quilt square. The semicircles are a solid green fabric and the square is a floral fabric. The area of the solid green fabric is 8π square inches.
What percent of the design is floral fabric?
Use 3.14 for π. Round your answer to the nearest whole percent.
Answers
Answer: the answer is 39
Step-by-step explanation:
i just took the test
Answer: 39%
Step-by-step explanation: i took the test :)
4. A baby monitor picks up
signals within a 50-meter
radius. How many square
meters of coverage does the
baby monitor provide?
Answers
Answer:
250 pi
Step-by-step explanation:
formula for area of a circle: pi r squared
pi times 50 squared is 250 pi
What ratios are equivalent to 14:6 ?choose all the equivalent ratios.
7:2
7:3
28:12
28:18
Answers
Answer: 7:3 and 28:12
Step-by-step explanation:
The equivalent form of the given ratio is 7 : 3. The correct answer is option (b).
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
The given ratio is 14 : 6.
A ratio of two numbers a and b can be written in the form of fraction as,
a : b = a/b
Thus, the given ratio can be simplified as,
14 : 6 = 14/6
= 7/3
Again it can be converted into the ratio as,
7/3 = 7 : 3
Hence, the equivalent ratio of the given ratio is 7 : 3.
To know more about ratio and proportion click on,
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A student is making a scale model of his 30 foot long house and his scale model is 15 inches long. What is the scale factor?
Answers
Answer:
3.6/30 = 1/x
30/3.6 = 8.3333
1 inch = 8 1/3 feet
Answer:
24
Step-by-step explanation:
15 inches represent 30 feet = 30*12 inches = 360 inches
so 1 inch represent 360/15 = 24 inches
the scale factor is 24
Isaac has 21 green marbles and 7 blue marbles. He wants to place them in identical groups without any marbles left over. What is the greatest number of groups Isaac can make?
Answers
Answer:
9r4
Step-by-step explanation:
8.4 + y = 10.7 108 = 9r 4.
Answer:
Step-by-step explanation:
Divide: 21/7
Your answer is 3
Which point shows 1/8?
Answers
Answer:The top one on the right.
Step-by-step explanation:
help me find x please
Answers
Answer:
132°
Step-by-step explanation:
An inscribed angle is half the measure of the arc it subtends. This means arc CB is twice the measure of inscribed angle CAB, so ...
arc CB = 2×∠CAB = 2×40° = 80°
Arc AC is twice the measure of inscribed angle ABC, so ...
arc AC = 2×∠ABC = 2×26° = 52°
The measure of central angle AOB is the same as the measure of arc AB.
x = ∠AOB = arcs AC +arc CB = 52° +80°
x = 132°
7. There are 3 times as many adventure books as comic books in a bookshop. If there are 879 adventure books in the bookshop, how many comic books are there?
8. Miss Flores had 216 colored beads, She asked Kristel to share them equally with 5 other friends, How many beads did Kristel get?
9. Ann made 450 hamburgers for a fun fair. She packed them equally into 7 boxes. How many hamburgers were there in each box? How many hamburgers were left?
Answers
Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool. Then, she measures out the liter of the remaining solution to use to clean the pool filter. How much chlorine solution is left in the bottle?
Answers
well, is simply the difference from what the bottle has and what she poured, hmm let's firstly convert the mixed fraction to improper fraction and then subtract.
[tex]\stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{2}~~ - ~~\cfrac{3}{4}\implies \cfrac{(2)5~~ - ~~(1)3}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{10-3}{4}\implies \cfrac{7}{4}\implies 1\frac{3}{4}[/tex]
Draw the image when ABCD is translated along 1-4, 6).
Answers
Answer:
(9,4)
Step-by-step explanation:
your welome
what’s the answer to this ?
Answers
Answer:
First choice
Step-by-step explanation:
It passes through (4, 0) and (0, -4)
Slope = (0 - (-4))/(4 - 0) = 4/4 = 1
so y - 0 = 1*(x - 4)
x - y = 4
8x - 8y = 32
First choice
Find the slope determined by the following pair of points (0,8), (2, 4)
Answers
Answer:
-2
Step-by-step explanation:
We use the slope formula, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], and substitute the points (0,8) and (2,4). This gives
[tex]\frac{4-8}{2-0}=\frac{-4}{2}=-2[/tex]
as the slope.
Hello.
Since we have two points, and we are asked to find the slope of the line, let's use the slope formula:
[tex]\mathrm{m=\displaystyle\frac{y2-y1}{x2-x1}}[/tex]
Where
m is the slope
y2 is the y-coordinate of the second point
y1 is the y-coordinate of the first point
x2 is the x-coordinate of the second point
x1 is the x-coordinate of the first point
In this case, m is unknown, y2 = 4, y1 = 8, x2=2, x1=0
Plug in the values:
[tex]\displaystyle\frac{4-8}{2-0}[/tex]
[tex]\displaystyle\frac{-4}{2} =-2[/tex]
Therefore, the slope is -2.
I hope it helps!
Have a nice day!
[tex]\boxed{imperturbability}[/tex]
QUESTION ON PIC THANK YOU!!
Answers
total = (0.1)d