Answer:
0.15(5,-1)
Step-by-step explanation:
[tex]\frac{v_{1} * v_{2} }{|v_{2}|^{2} }*v_{2}[/tex] ⇒ [tex]\frac{(2)(5)+(6)(-1)}{\sqrt{5^2+(-1)^2} }(5,-1)[/tex] ⇒ [tex]\frac{4}{26} (5,-1)[/tex] ⇒ [tex]0.15(5,-1)[/tex]
The best approximation of the projection IS ( 5,-1).
What is the projection of a vector?The sometimes-indicated vector projection of a vector an onto (or onto) a nonzero vector b The orthogonal projection of an onto a line parallel to b is referred to as (also known as the vector component or vector resolution of an in the direction of b).Although the word "projection" has several different connotations, they all refer to sending something out or forward. A projection is something that sticks out from a wall; it can be a movie; it can be an actress who speaks into a big auditorium without seeming shouty; or it can be something that is projected onto a screen.Vector A ,
(2,6) in terms of vectors is represented by = 2 i +6 j
Vector B,
(5,-1) in terms of vectors is represented by =5 i - 1 j
Projection of Vector A on Vector B
[tex]\frac{(A . B)(B)}{IBI^{2} } \\[/tex] = [tex]\frac{[(2i + 6j).(5i - j)]( 5i - j)}{\sqrt{5^{2} }+ (-1)^{2} }[/tex]
[tex]= \frac{(2)(5) +(6)(-1)}{\sqrt{5^{2} }+(-1)^{2} }[/tex]
= ( 5 ,-1 ) ⇒ 0.15 (5,-1)
Therefore, The best approximation of the projection IS ( 5,-1) .
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f(x) = x2. What is g(x)?
Answer:
g(x)=3x(superscript)2
Answer:
g(x) = 3x².
Step-by-step explanation:
In the diagram, we see that the vertex has not been shifted from the origin. The only thing that happened to the graph of f(x) was that it was vertically stretched to become g(x).
Where x = 1, f(x) = 1. Where x = 1, g(x) = 3. That means that the graph of f(x) was multiplied by 3.
So, g(x) = 3x².
Hope this helps!
Happy D's Playland charges a $100 flat
fee for parties plus $1.50 per person.
Marta has $125 to spend. Which
inequality could help Marta find the
number of people she can invite?
Answer:
$16.66
Step-by-step explanation:
$125-$100 = $25
since its $1.50 per person, we do $25 DIVIDED by $1.50 = $16.66.
i hoped this helped :)
System of linear inequalities
Answer:
1.) ( -4, -2 ), ( -6, - 3 )
2.) ( 0, 2 ) , ( 0 , 4 )
Step-by-step explanation:
The inequality sign of >=, the greater than or equal to sign, the upper region will be shaded while for less than sign <, the lower region will be shaded.
Please find the attached file for the solution and the answer.
Which set of integers represents the lengths of the sides of an isosceles triangle? A. {6,6,5} B. {3,4,5} C. {15,5,10} D. {1,1,3}
Answer:
A 6,6,5
Step-by-step explanation:
because an isosceles triangle has two it side equal
The set of integers represents the lengths of the sides of an isosceles triangle is A (6,6,5).
What Is an Isosceles Triangle?A triangle with two sides of equal length is an isosceles triangle.Properties of an Isosceles Triangle
Here is a list of some properties of isosceles triangles:
In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal.In the isosceles triangle given above, the two angles ∠B and ∠C, opposite to the equal sides AB and AC are equal to each other.The isosceles triangle has three acute angles, meaning that the angles are less than 90°.The sum of three angles of an isosceles triangle is always 180°. Types of Isosceles TrianglesGenerally, isosceles triangles are classified into three different types:
Isosceles acute triangle: An isosceles acute triangle is a triangle in which all three angles are less than 90°, and at least two of its angles are equal in measurement. Isosceles right triangle: The following is an example of a right triangle with two legs (and their corresponding angles) of equal measure. Isosceles obtuse triangle: An isosceles obtuse triangle is a triangle in which one of the three angles is obtuse (lies between 90° and 180°), and the other two acute angles are equal in measurement.Therefore, set of integers represents the lengths of the sides of an isosceles triangle {6,6,5}.
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I NEED THIS ANSWER IN THE NEXT 10 MIN PLS. WILL GIVE BRAINLEST!!! Find the center, vertices, and foci of the ellipse with equation x squared divided by 9 plus y squared divided by 25 = 1.
Answer:
center=0,0 vertices=(0,5)(0,-5) foci=(0,4)(0,-4)
Step-by-step explanation:
used calculator
25. Solve for x.
[tex] \frac{x}{20} = \frac{1}{5} [/tex]
HELP as fast as you can if possible plz. thank you.
Answer:
x = 4
Step-by-step explanation:
x * 5 = 20 * 1
x = 4
Answer:
[tex]\boxed{x=4}[/tex]
Step-by-step explanation:
Hey there!
Well to solve for x we need to cross multiply,
x/20 = 1/5
5x = 20
Divide both sides by 5
x = 4
Hope this helps :)
which ordered pair isa solution of the equation y=8x+3 A.Only (1,11) B.Only (-1,-5) C.Only (1,11) and (-1,-5) D Neither
Answer:
C (1,11) and (-1,-5)
Step-by-step explanation:
WILL GIVE THE BRAINLIEST. PLEASE HELP.
Answer:
300 miles.
Step-by-step explanation:
Distance = Rate * Time
We know the rate, 80 miles per hour.
We know the time, 3.75 hours.
As these use the same time unit, hours, we don't need to change any values.
We can just put these values into the formula:
[tex]d=r*t[/tex]
[tex]d=80*3.75=300[/tex]
Answer: 300 miles.
yoyoyo pls help with math
Answer:
C
Step-by-step explanation:
Calculate the ratio of corresponding sides, image to preimage, that is
scale factor = [tex]\frac{DE}{AB}[/tex] = [tex]\frac{14}{35}[/tex] = [tex]\frac{2}{5}[/tex] → C
. An image rotated around its centre point appears unchanged after 180° and 360° turns.
This is an example of:
a) line symmetry
b) rotation symmetry
c) tessellation
d) vertex
It's an example of rotation symmetry, if the image appears unchanged. If the rotation symmetry exists there is a one centre point around which an image appears unchanged.
Answer:
It's an example of rotation symmetry, if the image appears unchanged. If the rotation symmetry exists there is a one centre point around which an image appears unchanged.
explain the difference between legs and the hypotenuse of a right triangle
Answer:
The difference between the legs and the hypotenuse of a right triangle is that the hypotenuse will always be the longest side. Also, it will always be less than the two legs added together.
Step-by-step explanation:
Determine the value of x. 30° 45° 20° 60°
Answer:
x=30
Step-by-step explanation:
x+2x+3x=180
6x=180
x=180/6=30
photo of freedom fighter quotes on white sheet.
pls send me fast
Answer:
Freedom is any case,
is only possible
by constantly
struggling for it.
Albert Einstein
ANSWER QUICKLY PLZZZZZZ
ANSWER QUESTION C
Answer:
[tex] \boxed{12}[/tex]Step-by-step explanation:
E is 5 more than d
f is 7 less than d
a) e = d + 5
b) f = d - 7
c) plug the values of e and f
[tex] = d + 5 - (d - 7)[/tex]
When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression
[tex] = d + 5 - d + 7[/tex]
Since, two opposites add up to zero , remove them from the expression
[tex] = 5 + 7[/tex]
Add the numbers
[tex] = 12[/tex]
Hope I helped!
Best regards!
Find f(g(−1)). f(g(−1)) =
Answer:-6
Step-by-step explanation:it j told me the answer haha
Answer:
64
Step-by-step explanation:
X+2/x-2 - x+3/x-1 solve
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Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]x+\frac{2}{x} -2-x+\frac{3}{x} -1[/tex]
[tex]= \frac{-3x + 5}{x}[/tex]
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●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Ken said that he is going to reduce the number of calories that he eats during the day. Ken's trainer asked him to start off small and reduce the number of calories by no more than 7%.
Answer:
Ok, this question seems incomplete, so i will answer it in a general way.
Suppose that regularly, Ken eats A calories during the day. (A is a positive number)
Now, Ken wants to reduce this number, but his nutritionist tells him to reduce no more than 7% (So the max reduction possible is a reduction of the 7%).
So after the reduction, Ken eats C calories per day.
First, the maximum reduction that Ken can do is when he reduces exactly 7% of the calories.
So if he regularly consumes A calories, the reduction will be of
(7%/100%)*A = 0.07*A
So after the reduction, the amount of calories that he consumes per day is:
C = A - 0.07*A = A*(1 - 0.07) = A*0.93
But this is the minimum amount of calories that he can consume, the actual range of possible options will be:
A < C ≤ A*0.97.
C is strictly smaller than A because we must have a reduction in the number of calories.
Those values of C is all the posible amounts of calories that Ken eats per day after the initial reduction in the number of calories per day.
The length of a rectangle is represented by the function L(x) = 4x. The width of that same rectangle is represented by the function W(x) = 7x2 − 4x + 2. Which of the following shows the area of the rectangle in terms of x? (L + W)(x) = 7x2 + 2 (L + W)(x) = 7x2 − 8x + 2 (L • W)(x) = 28x3 − 16x2 + 8x (L • W)(x) = 28x3 − 4x + 2
Answer:
(L ⋅ W)(x) = 28x3 − 16x2 + 8x
Step-by-step explanation:
I took the test hope it helps :3
The area of the rectangle is (L · W) (x) = 28x³ - 16x² + 8x. Thus, the correct option is C.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Given the length of the rectangle is L(x)=4x, and the width is W(x)=7x²-4x+2. Therefore, the area of the rectangle in terms of x is,
L(x)×W(x) = 4x × (7x²-4x+2)
(L · W) (x) = 28x³ - 16x² + 8x
Hence, the area of the rectangle is (L · W) (x) = 28x³ - 16x² + 8x. Thus, the correct option is C.
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3|2(2)-9|-2
need to evaluate the expression
Answer:
13
Step-by-step explanation:
3|2(2)-9|-2
First evaluate inside the absolute value
3|4-9|-2
3|-5|-2
Taking the absolute value of -5
3*5-2
Multiply
15 -2
13
Steps to solve:
3|2(2) - 9| - 2
3|4 - 9| - 2
3|-5| - 2
3(5) - 2
15 - 2
13
Best of Luck!
PLS ANSWER I WILL GIVE BRAINLIST AND A THANK YOU!!!! :)
Answer:
THE OTHER ANSWER IS WRONG
Step-by-step explanation:
90=20+6x-2
92=20+6x
72=6x
12=x
Hope this helps!
BRAINLIEST, THANKS AND 5 STARS IF ANSWERED BOTH CORRECTLY
Which set of points represents a function?
A. (-5, -4), (-4, -3), (-3, -2), (-2, -1)
B. (-6, 2), (6, -2) (-5, 3), (-5, -3)
C. (8, -1), (8, 2), (8, -3), (8, 4)
D. (1, 3), (-4, 4), (3, -2), (1, 0)
Which set of points represents a function?
A. (2, -5), (4, 0), (7, 0), (2, 5)
B. (-1, 4), (2, -4), (-1, -4), (-2, 4)
C. (-5, -1), (-2, -1), (1, -1), (4, -1)
D. (3, -5), (3, -1), (3, 2), (3, 4)
Answer:
Numer 1
A) (-5, -4), (-4, -3), (-3, -2), (-2, -1) Is a function
Number 2
C) (-5, -1), (-2, -1), (1, -1), (4, -1) is a function
in a function, all elements in domain "x" should have a pre-image "y" and they should be unique (one x can have only one value of y, but more than one x can have same same value of y) for all ordered pair (x,y)
it's not clearly possible to tell without knowing the actual set but with given information,
1. A
2. C
Marcus played 3 different activities this week after school. The time he spent playing is described below. Swam forof an hour Played soccer for 9/10 2/3 2/4 of an hour Jogged forof an hour Which statement correctly compares the times of 2 of his activities?
Answer:
A
Step-by-step explanation:
We can find a common denominator for all of these fractions, compute, and then compare the values to find the right answer.
URGENT PLEASE ANSWER !!
Answer:
(C) [tex]y = 2x+5[/tex]
Step-by-step explanation:
Looking at this graph, we can see that the slope of it is 2. We know this because for every time x increases by 1, y increases by 2.
We also know that the y-intercept of this graph is 5, since it intercepts the y-axis at the value 5.
We can easily create an equation with this info.
[tex]y = 2x + 5[/tex].
Hope this helped!
Answer:
C. y= 2x+5
Step-by-step explanation:
y=mx+b
(+b) is y- intercept
(mx) is the slope.
plot the y- intercept first which the line starts at (0,5)
since the slope isn't a fraction you turn it into one which would be
[tex] \frac{2}{1} [/tex]
Use sigma notation to represent the sum of the first seven terms of the following sequence -4,-6,-8.....
Answer:Answer:
[tex]\sum\left {{7} \atop {1}} \right -n(3+n)[/tex]
Step-by-step explanation:
Given the sequence -4,-6,-8..., in order to get sigma notation to represent the sum of the first seven terms of the sequence, we need to first calculate the sum of the first seven terms of the sequence as shown;
The sum of an arithmetic series is expressed as [tex]S_n = \frac{n}{2}[2a+(n-1)d][/tex]
n is the number of terms
a is the first term of the sequence
d is the common difference
Given parameters
n = 7, a = -4 and d = -6-(-4) = -8-(-6) = -2
Required
Sum of the first seven terms of the sequence
[tex]S_7 = \frac{7}{2}[2(-4)+(7-1)(-2)]\\\\S_7 = \frac{7}{2}[-8+(6)(-2)]\\\\S_7 = \frac{7}{2}[-8-12]\\\\\\S_7 = \frac{7}{2} * -20\\\\S_7 = -70[/tex]
The sum of the nth term of the sequence will be;
[tex]S_n = \frac{n}{2}[2(-4)+(n-1)(-2)]\\\\S_n = \frac{n}{2}[-8+(-2n+2)]\\\\S_n = \frac{n}{2}[-6-2n]\\\\S_n = \frac{-6n}{2} - \frac{2n^2}{2}\\S_n = -3n-n^2\\\\S_n = -n(3+n)[/tex]
The sigma notation will be expressed as [tex]\sum\left {{7} \atop {1}} \right -n(3+n)[/tex]. The limit ranges from 1 to 7 since we are to find the sum of the first seven terms of the series.
what is the answer to x2 = 121.
Answer:
11 if you mean x^2
Step-by-step explanation:
Since we are solving for x, we need to just get x by its self. The only thing we have to do is get rid of the exponent of (^2). to do this, we have to take teh square root of both sides:
The square root of x^2 is x
The square root of 121 is 11
So the asnwer is x = 11
Step-by-step explanation: A common mistake in this problem would be to say that if x² = 121, x must equal 11.
However, you must set the equation equal to 0 first.
So our first step is to subtract 121 from both sides to get x² - 121 = 0.
Next, factor the left side to get (x + 11)(x - 11) = 0
So either x + 11 = 0 or x - 11 = 0.
Solving each equation from here, we find that x = -11 or x = 11.
So our answer is not just 11, it's {11, -11}.
Please help will give 5 stars with 1 thanks and 15 points
Answer:
mean is adding up all the numbers.
range means the difference between the Lowest and highest value.
Step-by-step explanation:
when we add the answer is 240.6.
divide it to 12..do the final answer is 20.05
range is 25.4_16.3
9.1
Answer:
Mean: 20.05
Range: 9.1
Step-by-step explanation:
To find the mean in this problem, first you add all the following numbers together then subtract by the quantity.
20.1 + 19.6 + 18.0 + 17.8 + 25.2 + 18.7 + 21.9 + 16.3 + 25.4 + 20.5 +17.8 + 19.3
= 240.6
Now, divide by the quantity which is 12 since there's 12 numbers.
240.6 divided by 12 = 20.05.
The mean is 20.05.
To find the range in the problem, you must subtract the smallest value from the largest value.
In this case, 16.3 is the smallest value and 25.4 is the largest.
25.4 - 16.3 = 9.1
9.1 is the range.
Hope this helps you!
Simplify the expression so there is only one positive power for each base. (5^-2 x 4^-4)^-2
Answer:
Step-by-step explanation:
[tex](5^{-2}[/tex] × [tex]4^{-4}[/tex] [tex])^{-2}[/tex]
=[tex](5^{-2}[/tex][tex])^{-2}[/tex] x [tex](4^{-4})^{-2}[/tex] ∴[tex](a.b)^{n} =a^{n} .b^{n}[/tex]
=[tex]5^{-2.-2}[/tex] x [tex]4^{-4 . -2}[/tex] ∴[tex](a^{n} )^{m}[/tex] = [tex]a^{nm}[/tex] // here m is an exponent of [tex]a^{n}[/tex].
=[tex]5^{4}[/tex] x [tex]4^{8}[/tex]
PLEASE help me with this question. This is really URGENT
Answer:
$6291.70
Step-by-step explanation:
You have the equation and a value to solve for. So, plug this in to get m = 2500 + 0.05(75,834) = 2500 + 3791.70 = $6291.70.
Negative solution for Multi-step equations
Answer:
[tex]\frac{1}{2}(4x+6)+3x=7x+9[/tex]
[tex]\frac{1}{2}(4x+8)+3x=7x+9[/tex]
Step-by-step explanation:
By putting the numbers in the given equation,
[tex]\frac{1}{2}(4x+6)+3x=7x+9[/tex]
2x + 3 + 3x = 7x + 9
5x + 3 = 7x + 9
(5x + 3) - 7x = (7x + 9) - 7x
(5x - 7x) + 3 = 9
-2x + 3 = 9
(-2x + 3) - 3 = 9 - 3
-2x = 6
[tex]-\frac{2x}{2}=\frac{6}{2}[/tex]
-x = 3
x = -3
Therefore, our equation is correct which has a negative result.
In place of 6 if we use 8, value of x will be negative again.
plz help me asap!!!!!
What is the equation of the linear function represented by the table?
x
y
–5
14
–2
11
1
8
4
5
y = negative x + 9
y = negative x + 13
y = x + 13
y = x + 9
Answer:
It would be y = -x + 9
Step-by-step explanation:
Answer:
Y=-x+9
Step-by-step explanation:
