Answer:
C) The vectors are orthogonal because the angle between them is 90°.
Step-by-step explanation:
got it right on edge :)
The vectors are orthogonal because the angle between them is 90°. Option C is correct.
What exactly is a vector?A vector is a quantity with a magnitude, and direction that follows the law of vector addition.
Given data;
u = ⟨1, 0⟩
v= ⟨0, –3⟩
The angle between the vector is found by the formula as;
[tex]\rm cos \theta = \frac{u,v}{|u||v|} \\\\ cos \theta = \frac{(1 \times 0) + (0 \times -3)}{\sqrt{1^2+(-0^2)+\sqrt{0^2+(-3)^2}}} \\\\ cos \theta = 1 \\\\ \theta = cos^{-1}1\\\\ \theta = 90^0[/tex]
Hence option C is correct.
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Which expression can be used to find The amount of money for camp leader spends on b books
Answer:
Part A: A. 7.50 x b
Part B: $90
Step-by-step explanation:
Part A: The cost of a book is $7.50, so the equation that is going to tell you the total cost of however many books purchased is equation A.
Part B: $90. If the cost of a book is $7.50 and the teacher purchases 12 books, you do $7.50 x 12= $90. You can check the equation by adding $7.50 12 times. You will get the same result.
Help me it’s not D !!!!
The answer to this is A.
What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)
X: -3, 2, 7, 12
Y: 0, 2, 4, 6
Whats the slope ?
Answer:
The Slope in 7,2
Step-by-step explanation:
Can someone answer this I would really appreciate it thanks :)
Answer:
Y = 130
X = 20
Z = 110
Answer:
y= 130 degrees x= 20 degrees z= 110 degrees
Step-by-step explanation:
I solved top left triangle first. So, we know all triangles add up to 180 degrees and we have two on the angles so 85 + 45 = 130 then 180 - 130 = 50 so the missing angle near y is 50. Now to figure out Y then you just subract your answer (50) from 180 which you get 130. So y is 130 degrees. Then to figure out X, you just do 180 - 130 = 50, 50 - 30 = 20, so x is equal to 20 degrees. Then lastly to figure out z we know that the missing angle is 50 because its vertical to the other 50 degree so now you do 180 - 20 = 160, 160 - 50 = 110 degrees.
The cost of a magazine is $x and the cost of a newspaper is $(x -3). The total cost of 6 magazines and 9 newspapers is $51. Write down and solve an equation in x to find the cost of a magazine,
See attachment for math work and set up. Use the substitution method to find x.
HELP ME PLEASEEEEEE
Answer:
The measure for angle 1 is 102 degrees. They would be interior angles because they add up to be 180 degrees.
Step-by-step explanation:
Hope this helps!! Please mark me brainliest!!
What is 1.452 rounded to the nearest hundredth
Answer:
1.450
Step-by-step explanation:
what grade ar4e you in I'm guessing 4th or 5th
how many solutions are there to the equation below
6x+30+4x=10(x+3)
a)0
b) infinitely many
c) one
Answer:
b) infinitely many
hope it helps
In a small private liberal arts college, 40 percent of the students receive financial aid, and 30 percent of the students that receive financial aid also are first generation college students. In addition, 25 percent of the students in the college own a hybrid car. What is the probability that a randomly selected student receives financial aid and is first generation college student
Answer:
P(A∩B) = 0.12
Step-by-step explanation:
Given:
Students receive financial aid P(A) = 40% = 0.4
Students receive financial aid and first generation P(B/A) = 30% = 0.3
Find:
Probability [Selected student receives financial aid and is first generation college student] P(A∩B)
Computation:
P(A∩B) = P(A) x P(B/A)
P(A∩B) = 0.4 x 0.3
P(A∩B) = 0.12
Vanya collects vintage albums. Each storage unit holds 16 albums. She gave 3 albums to her cousin as a graduation present. Which function shows the relationship between y, the
total number of albums she has remaining, and x, the number of storage units Vanya owns?
A. Y=16x
B. Y=16x+3
C. Y=13x
D. Y=16x-3
Answer:
Step-by-step explanation: do y’all know answer
Answer:
d
Step-by-step explanation:
Help asap i will do brainlist and everything
Answer:
the picture isnt showing
HEY THS IS WORTH 69 POINTS
The vertices of a rectangle are A(2, 0), B(5, 0), C(5, −2), and D(2, −2). Reflect the rectangle in the y-axis, and then rotate
the rectangle 180° about the origin. What are the coordinates of the image?
Answer:
A′(-2, 0), B′(-5, 0), C′(-5, 2), and D′(-2, 2)
Step-by-step explanation:
I did FLVS (Online School stuffs)
Answer:
A
Step-by-step explanation:
pls help me on this iready question I beg u
Answer:
We conclude that for 1/2 batch, Faird would require 3/8 cups of sugar.
Step-by-step explanation:
Suger needed for a full batch = 3/4Given that Farid is making 1/2 of batchWe need to determine the expression for the amount of sugar Freed needs to make 1/2 batch.
Let 'x' be the batch and 'y' be the amount of sugar
Suger needed for a full batch = 3/4 cup of a sugar
so
x = 3/4yBut, Farid is making 1/2 of the batch.
Thus, multiply both sides by 1/2
[tex]x\times \frac{1}{2}\:=\:\frac{3}{4}y\times \frac{1}{2}[/tex]
[tex]\frac{x}{2}=\frac{3y}{8}[/tex]
Therefore, we conclude that for 1/2 batch, Faird would require 3/8 cups of sugar.
A box of cereal states that there 99 calories in a 3/4 cup serving. What is the unit rate for calories per cup how many calories are there in 2 cups of the cereal
convert 15 °C to Fahrenheit, use the formula F = 9/5 C + 32
Answer:
59
9/5(15)+32 =59
Step-by-step explanation:
What is the K for this story Problem? John bought 27 baseball cards for $9. How many baseball cards can he buy with $84?
Answer:
210
Step-by-step explanation:
9 divided by 27 = .33333 = .4
you would divide 9 by 27 because if you did 27 divided by 9 he would only have 3 cards
84 divided by .4 = 210
Please help me please
Answer:
To be honest I don't know I just need some points 1+1=2
Step-by-step explanation:
which matrix represents the system of equations shown below ? 4x-2y=5 5x- y=8
4 -2 5
5 -1 8
this is what it showed in brackets as the correct answer.
The matrix that represents the system of equations 4x-2y=5 and 5x- y=8 is [tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]
How to determine the matrix?The system of equations is given as:
4x-2y=5
5x- y=8
Remove the variables
x y
4 -2 5
5 -1 8
Represent as a matrix
[tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]
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What is the answer please help
Answer:
is the number 4
so 13/16 3/16
Step-by-step explanation:
Check whether (x – 1) (x +2) = x + 3 is a quadratic equation or not.
Answer:
no, it is not
Step-by-step explanation:
STEP 1: Simplify (x−1)(x+2).
[tex]x^2+x-2=x+3[/tex]
STEP 2: Move all terms containing x to the left side of the equation.
[tex]x^2-2=3[/tex]
STEP 3: Move all terms not containing x to the right side of the equation.
[tex]x^2=5[/tex]
STEP 4: Take the square root of both sides of the equation to eliminate the exponent on the left side.
[tex]x=[/tex]±[tex]\sqrt{5}[/tex]
STEP 5: The complete solution is the result of both the positive and negative portions of the solution.
[tex]x=\sqrt{5} ,-\sqrt{5}[/tex]
what is the maximum value of the function? explain what the maximum value of this represents in this situation. make sure to include information about the x-value and y-value in your explanation
wowwwww he just roasted youuuuuuuuuu!!!!!
WA store manager records the number of people who have been in his store compared to the number of hours the store has been open. He graphs the data on the scatterplot below and sketches a trend line.
Store Customers
A graph has hours open on the x-axis, and total customers on the y-axis. A trend line goes through points (1, 25) and (2, 50).
Based on the data collected, if the store has been open 7 hours, which scenario is most likely to be true?
After 1/2 hour, 1 customer had been in the store.
After 6 hours, 129 customers had been in the store.
After 7 hours, 175 customers had been in the store.
After 8.5 hours, 225 customers had been in the store.
Answer: After 7 hours, 175 customers had been in the store.
Step-by-step explanation:
Did the quiz, Trust me.
Answer:
ccccccccc!
Step-by-step explanation:
find the quotient 8 divided by 1/7.
Answer:
56
Step-by-step explanation:
When we divide a number with a fraction, we change the sign into a multiplication sign, and we do the reciprocal. Then we multiply across.
According to the 2014 national population projections published by the U.S. Census Bureau, the U.S. population is projected to be 334.4 million in 2020 with an estimated growth rate of 0.79% per year. Assuming the growth rate remains constant, find the projected population in 2050.
Answer:
423,437,744
Step-by-step explanation:
Given that :
Projected population in 2020 = 334.4 million
Estimated growth rate (r) = 0.79%
Projected population in 2050 ;
Using the exponential growth function :
Estimated value = initial value(1 + growth rate)^time
Initial value = i
Time = 2020 - 2014 = 6 years
334.4 = i(1 + 0.0079)^6
334.4 = i(1.0079)^6
334.4 = i2.43087455521E−13
i = 3.189786E8
Initial population = 318. 978 million
Estimated Population in 2050:
2050 - 2014 = 36
Projected population = 3.189786E8(1.0079)^36
Projected population = 3.189786E8*1.3274801
= 423437743.82586
= 423437744 million
−6x + 6y = 6 −6x + 3y = −12
Answer:
x = 0
y = 2
Step-by-step explanation:
−6x + 6y = 6 −6x + 3y = −12
-6x+6x+6y-3y = 6
3y = 6
y = 2
checking:
6-6x+3.2 = -12
6-6x+6 = -12
12-6x = 12
x = 0
checking 2:
since x = 0 we ignore it and its multipliers from the equation:
6y=6+3y = 12
6.2 = 12 (check)
6+3.2 = 12
6+6 = 12 (check)
which of the following is an irrational number?
Answer:
B
Step-by-step explanation:
The other choices are terminal numbers which makes them rational numbers but square root of 19 is an irrational number because square root of 19 is 4.3588989.... This makes it an irrational number since it's just random numbers after the decimal point.
solve x 3+3(x+2)=-24
Answer: x =5
Step-by-step explanation:
[tex]x + 3 + 3(x + 2) = - 24[/tex]
[tex]x + 3 + 3x + 6 = - 24[/tex]
[tex]4x + 9 = - 24[/tex]
[tex]4x = - 24 - 9[/tex]
[tex]4x = - 33[/tex]
[tex]x = \frac{ - 33}{4} [/tex]
Paula ran 3 1/4 kilometers. Omar ran 4,200 meters. What is the total number of centimeters Omar and Paula ran?
Answer:
325000 + 420000 = 745000
Step-by-step explanation:
They ran 745000 centimeters all together
The discrimination of a quadratic function is 13. Which is a true statement about the roots of the function?
Answer:
If the discrimination of a quadratic function is 13, then the function will have two distinct real roots.
Step-by-step explanation:
Given the quadratic function
[tex]y=ax^2+bx+c[/tex]
where D = b²-4ac is called the discrimination of a quadratic function.
The discriminant D=b²-4ac indicates the type of roots the equation may have.
If D > 0, then the equation has two distinct real roots.
Given that the discrimination of a quadratic function is 13.
i.e. D = 13
As D > 0, so the function will have two distinct real roots.Thus, we conclude that if the discrimination of a quadratic function is 13, then the function will have two distinct real roots.