Answer:
Step-by-step explanation:
l
Option C corresponds to the vectors scalar projection and dot product, which are uv = 2.24 and u v = 7.07.
To find the scalar projection (uv) and the dot product (u · v) of vectors u and v, use the following formulas:
Scalar Projection (uv) of u onto v:
uv = |u| × cos(ϴ)
Dot Product (u · v) of u and v:
u · v = |u| × |v| × cos(ϴ)
u = ⟨1, 3⟩ and v = ⟨2, 1⟩, and cos(ϴ) = √(2)/2,
calculate the magnitudes of u and v first:
|u| = √(1² + 3²) = √10
|v| = √(2² + 1²) = √5
Now, calculate the scalar projection (uv) and the dot product (u · v):
Scalar Projection (uv) of u onto v:
uv
= |u| × cos(ϴ)
= √10 × √(2)/2
= √(10/2)
= √5 ≈ 2.24
Dot Product (u · v) of u and v:
u · v
= |u| × |v| × cos(ϴ)
= √10 × √5 × √(2)/2
= √(1052)/2
= √100/2
= √50
≈ 7.07
Therefore, the scalar projection and dot product of the vectors is equal to option c. uv = 2.24 and u · v = 7.07.
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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!!
Find the slope of a line that passes through the points (-5, 3) and (-3, 8)
Answer:
Slope: 5/2 or 2.5
Step-by-step explanation:
1. Put both of the y values together on the top of a fraction and the x values on the bottom.
It should look like this: [tex]\frac{8-3}{-3-(-5)}[/tex]
2. Now you need to simplify the y and x values. -3-(-5) is equal to 2 and 8-3 is 5.
I should now look like this: [tex]\frac{5}{2}[/tex]
3. That could be your answer as a fraction. Or you can take the extra step and actually divide them. 5 divided by 2 is 2.5.
In the end, you will have a result of 5/2 or 2.5. That it the slope of the line of the points (-5,3) and (-3,8). I hope this helps and you actually understand it. Remember, don't cheat! Always do your best! Good luck!
The given points are:
[tex](x_1, y_1) = (-5, 3)[/tex][tex](x_2, y_2) = (-3, 8)[/tex]As we know,
Slope, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
By substituting the values, we get
[tex]= \frac{8-3}{-3-(-5)}[/tex]
[tex]= \frac{5}{-3+5}[/tex]
[tex]= \frac{5}{2}[/tex]
Thus the above answer is right.
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In the figure, BE||CD, B is the midpoint of AC, and E is the midpoint of AD
Answer:
A. 8
Step-by-step explanation:
BE = ½(CD) (midsegment theorem)
BE = 2x - 10
CD = 12
Plug in the values
2x - 10 = ½(12)
2x - 10 = 6
Add 10 to both sides
2x - 10 + 10 = 6 + 10 (addition property of equality)
2x = 16 (addition property of equality)
Divide both sides by 2
2x/2 = 16/2
x = 8 (division property of equality)
There are 4 sharks and 5 dolphins. Write the ratio of sharks to dolphins. Then find and interpret the value of the ratio.
Answer:
here is the ratio 1 : 1.25 (sharks: dolphins)
Step-by-step explanation:
The ratio of sharks to dolphins is 4 : 5
How to obtain real measurements from the ratio of two measurements?Suppose the real measurements were "a" and "b"
This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.
Thus, a = px, b = qx
Given Number of sharks = 4
Number of dolphins = 5
Therefore, the ratio of sharks to dolphins
= 4 : 5
Or 1 : 1.25
Number of animals = number of sharks + number of dolphins
Number of animals = 4 + 5 = 9
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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.
Find the slope between (-1, 7) and (-3, 1).
Answer:
[tex]m=3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1, 7)
Point (-3, 1)
Step 2: Solve for x
Substitute [SF]: [tex]m=\frac{1-7}{-3+1}[/tex]Subtract/Add: [tex]m=\frac{-6}{-2}[/tex]Divide: [tex]m=3[/tex]What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)
−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)
$899 computer; 20% discount
Answer:
it knocks off $179.80 or the final cost which is $719.20.
Step-by-step explanation:
Answer:
$719.20
Step-by-step explanation:
899*0.2=179.8
899-179.8=719.2
18:
A line has a slope of -4 and includes the points (-10,10) and (-7,k). What is the
value for k?
k=
19:
the point (3,4) lies on the graph of the equation 3y=ax+7, then the value of a is
Note: Use slash (/) to separate the numerator and denominator.
200:
Consider a sequence whose first five terms are: -1.75,-0.5,0.75,2,3.25
Which function (with domain all integers n21) could be used to define and continue this
sequence?
A f(n)=7/4(n-1)-5/4
B f(n)=5/4(n-1)-7/4
C f(n)=(7/4)n-5/4
D f(n)=(5/4)n-7/4
Need help with 18-20 plz help I put a picture there to I really need these ASAP
You and your friend play an arcade game. You score 5 points for every 9 points that your friend scores. You score 320 points less than your friend. How many points do you each score?
Answer:
400 ; 720
Step-by-step explanation:
Given that :
My score = 5 point for every 9 points scored by my friend ; hence my score is always 4 points less than my friend's score.
Let number of shot = x
Also my score x is 320 less than my friend's score
Hence after x shots
My score = friend's score - 320
5x = 9x - 320
5x - 9x = - 320
-4x = - 320
x = 80
Hence ;
My score = 5x = 5* 80 = 400
My &friend's score = 9 * 80 = 720
PLEASE I NEED HELPPPP
Answer:
r=3
Step-by-step explanation:
12 times 3 is 36
18 times 3 is 54
25 times 3 is 75
what you are doing is plugging in X and seeing what X is multiplied to get Y
r•x=y
Answer:
I really don't know
which grade math is this Caz bro
In his bank account, Jean-Paul has a balance of $0.00
His friend Albert has a bank balance of -$11.10
Which friend's bank account has more debt?
Choose 1 answer:
A. Jean-Paul
B. Albert
Which friend's bank balance has a greater absolute value?
Choose 1 answer:
A. Jean-Paul
B. Albert
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 me it’s not D !!!!
The answer to this is A.
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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Find the value of x
Please help
Answer:
x=67
Step-by-step explanation:
Two ways to solve it:
1st way: Just looking at it, x is definitely not 180° because it’s to big of an angle, it is definitely not 113° because it’s still to big of an angle, and it’s also not 90° because it doesn’t form a right angle. So it must be 67°.
2nd way: Since two angles in a straight line add up to 180°, you can subtract 113° from 180° to find what x is. You can tell that 180° - 113° is equal to 67°
So either way, the answer is: x=67
Hope this helped! :)
PLZ HELP TROLL ANSWERS GET REPORTED MAKE IT UNDERSTANDABLE Match each expression to its value.
Answer:
7-5 => 2-7+5 => -2-7-5 => -127-(-5) => 12Step-by-step explanation:
Lets solve the expressions one by one
1. 7-5
we can see that it is simple subtraction. A smaller number is being subtracted from a large number.
So the answer is 2
2. -7+5
There are two numbers with different signs. When there is a number with plus and a number with minus both quantities are subtracted but the larger quantity determines the sign of the answer.
In this case, 7 is larger and has negative sign, the answer will be -2
3. -7-5
When there are two numbers with minus sign they are added but the answer has the minus sign with it.
So the answer will be: -12
4. 7-(-5)
When minus is multiplied with minus it converts to positive
So
[tex]= 7-(-5) = 7+5 = 12[/tex]
Hence,
7-5 => 2-7+5 => -2-7-5 => -127-(-5) => 12convert 15 °C to Fahrenheit, use the formula F = 9/5 C + 32
Answer:
59
9/5(15)+32 =59
Step-by-step explanation:
If a wagon is accelerating at a rate of 2 m/s and the
force acting on it is 20 N, what is the mass of the
wagon?
Answer:
40kg
Explanation:
a=2m/s^
f=20N
M=?
we know
f=m*a
or, 20=m*2
or, 2m=20
or, m= 20/2
:. m=10 kg
Help asap i will do brainlist and everything
Answer:
the picture isnt showing
a) 15% of what is 12?
Answer: 80
Step-by-step explanation:
Given
15% of ? is 12
We multiply
Answer:
80
Step-by-step explanation:
15% × ? = 12
? =
12 ÷ 15% =
12 ÷ (15 ÷ 100) =
(100 × 12) ÷ 15 =
1,200 ÷ 15 =
80
A 3-pound box of grapes costs $12.00. What is the price per ounce?
Answer:
$2.64
Step-by-step explanation:
I hoped I could help you!!
A rectangular plot of land has an area of 3/2 square kilometers and a length of 3/4 kilometer. What is the width of the plot of land?
(please answer fast i gtg soon :P)
There was a study done on oxygen consumption of snails as a function of pH, and the result was a degree 4 polynomial whose graph is shown.
Which of the following statements about this function is INCORRECT?
Answer:
A. There is a positive leading coefficient
Step-by-step explanation:
Polynomials can be represented as an equation or graphs.
The incorrect option is: (b) There is a positive leading coefficient.
The polynomial has a degree of 4; this means that the degree of the polynomial is even.
So option (a) The degree of the polynomial is even is true
From the graph, we can see that the function decreases at (7<x<8) and (9<x<10)
This means that, the function decreases at two intervals
So option (d) There are two intervals where the function is decreasing is also true
Also, the function is at maximum at x = 7 and x = 9.
This means that:
Option (c) At two pH values, there is a relative maximum value
Hence, the incorrect option is:
(b) There is a positive leading coefficient.
This is so because, the graph decreases at some points on the graph.
This means that, the graph has a negative leading coefficient.
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What is the value of the function at x = 22 Enter your answer in the box .please help.
Answer:
its gonna be whatever the y value is when x is 22
Step-by-step explanation:
Triangles ABC and FED are congruent right triangles. Find the length of FE. 8 m 6 m
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
Evaluate the expression
for
and
.
Answer:
Huh? Is this like a real question?
00:00 A truck can carry up to 2,000 pounds. The truck is carrying 1,600 pounds divided equally among 8 crates. What is the weight of each crate? Enter your answer in the box. pounds