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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A batch of hot chocolate is made with 24 teasoons of cocoa and 12 cups of milk. How many teaspoons of cocoa are needed for every cup of milk?
Answer:
2 teaspoons
Step-by-step explanation:
24 tsp/12 cups = x tsp /1 cup
Cross multiplying, we have:
12x = 24
x = 2
The solution is 2 teaspoons of cocoa
Number of teaspoons of cocoa is given by the equation A = 2 teaspoons
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of teaspoons of cocoa be represented as A
Now , the equation will be
A batch of hot chocolate is made with 24 teaspoons of cocoa and 12 cups of milk
So , for 12 cups of milk = 24 teaspoons of cocoa is required
And , for 1 cup of milk A = 24 teaspoons of cocoa is required / 12
Substituting the values in the equation , we get
Number of teaspoons of cocoa A = 24 teaspoons / 12
Number of teaspoons of cocoa A = 2 teaspoons
Therefore , the value of A is 2 teaspoons
Hence , the number of teaspoons is 2
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The physician orders 1500 flu injections. There were 300 shots given in September, 450 shots given in October, and 665 shots given in November. A. What percentage of flu vaccine has been given
Answer:
50%
Step-by-step explanation:
You take the 1500 shots and take away the 300 and 450 you get 750 you divide 750 from 1500 then you get 0.5 and you multiply it with 100 and you get the answer 50.
Out of 1500 flu injections the share of flu vaccines which has been given is 94.33%.
What is percentage?A percentage is that the number or ratio expressed as a fraction of 100. it's denoted by the expression %. it's calculated by the subsequent formula:
Percentage=Number/total*100
How to calculate percentage?It is provided that out of 1500 flu vaccines , 300 got in September, 450 got in October and 665 got in November.
Total vaccines given= 300+450+665
=1415
Percentage=1415/1500*100
=0.9433*100
=94.33%
Hence the proportion of flue vaccine that has been given is 94.33%.
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What is the slope of the line that passes through the points (−3,−3) and (−5,−2)? Write your answer in simplest form.
Answer:
[tex]\frac{1}{-2}[/tex]
Step-by-step explanation:
To do this you would do a formula that is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] so you would plug in the coordinates so you get [tex]\frac{-2-(-3)}{-5-(-3)}[/tex] which simplifies to [tex]\frac{1}{-2}[/tex] so the slope would be [tex]\frac{1}{-2}[/tex]
what is -7(w+6)^2+21=0.
If PR = 4X - 2 AND RS = 3X - 5 which expression represents PS?
Answer:
7x - 7
Step-by-step explanation:
If PR, RS, and PS are line segments then the equation below will work.
PR + RS = PS
(4x-2) + (3x-5) = 7x - 7
In a bag of M&MS there are 4 green, 6 yellow and 8 blue candies. What is the probability of drawing a blue then a green if you replace the candy after the draw?
Answer:
8/81
Step-by-step explanation:
8/18 x 4/18 = 32/324 = 8/81
The probability of drawing a blue and then a green and replacing the candy after the draw is 8/81.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
It is given that in a bag of M&MS there are 4 green, 6 yellow, and 8 blue candies.
The probability for blue = 8/18
The probability for green = 4/18
The probabilities of drawing a blue then green if you replace the candy after the draw will be calculated as below:-
Probability = 8/18 x 4/18
Probability = 32/324
Divide the number 32 by 324 to get the probability.
Probability = 8/81
Therefore, the probability of drawing a blue and then a green and replacing the candy after the draw is 8/81.
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How many three-letter permutations
can you make using the letters in
BEACH?
Can someone please help me?
Answer:
60
Step-by-step explanation:
nPr=n!/(n-r)!
5!/(5-3)!
(5*4*3*2*1)/(2*1)
120/2
60
Answer:
60
Step-by-step explanation:
A permutation is a rearrangement of its elements in any sequence or linear order.
We are asked to rearrange the word BEACH into three letter permutations.
We find that each letter represents the first letter 5 x 3 = 15
Then distributes 5 places, so that 15 x 5 = 60
Why is 9.6 a rational number
Answer: see explanation below
Step-by-step explanation:
A rational number terminates.
9.6 terminates at six-tenths.
help pleasseeeee ! 15 points
the answers are
(-1,-5)
(0,-3)
(4,5)
(9,15)
Answer:
(0,-3)
Step-by-step explanation:
2x-y = 3
x+2y = -6
Multiply the first equation by 2 so we can eliminate y
2(2x-y =3)
4x -2y = 6
Add this to the second equation
4x -2y = 6
x+2y = -6
-----------------
5x +0y = 0
x = 0
Now find t
x+2y = -6
0+2y = -6
2y =-6
Divide by 2
y = -3
Answer:
Step-by-step explanation:
Let's try to eliminate y.
First we multiply the first equation by 2,
4x - 2y = 6
x + 2y = -6
Then we add them together
5x = 0
x = 0
Now we plug x into the first equation,
4(0) - 2y = 6
-2y = 6
y= -3
Now we plug x into the second equation,
0 + 2y = -6
2y = -6
y = -3
So our answer is,
(0,-3)
What is the value of x
Answer:
x = 58
Step-by-step explanation:
The secant- tangent angle 51° is half the difference of the measures of the intercepted arcs, that is
[tex]\frac{1}{2}[/tex] (160 - x) = 51 ( multiply both sides by 2 )
160 - x = 102 ( subtract 102 from both sides )
58 - x = 0 , thus
x = 58
MATH QUESTION : As punishment for bad behavior during recess, Mrs. Busywork asked her class to multiply 10 by 1/3 five times. John, however, notices that it is possible to multiply 10 by a single fraction and still get the same answer as the other students. What is this single fraction?
Answer:
5/3
Step-by-step explanation:
5×(10×1/3)
=10×5/3
=since 5×(10×1/3) gives 50/3 so thus 10×5/3.
The fraction is therefore 5/3
Which of the following statements is true according to the measurements in the diagram? Image not set to scale.
Answer:
4th option
Step-by-step explanation:
The two triangles are not similar as their measurements are different
hope this helps
plz mark as brainliest!!!!!!
The true statement is: ΔABC and ΔEDC are not similar .
so, option 4 is correct.
Here, we have,
given that,
from the given diagram, we get,
triangle ABC => AB = 8
BC = 4
CA = 10
and, for triangle DCE =>
DE = 20
CD = 10
CE = 25
so, we get,
the three sides of the two triangles are not proportional with each other.
so, we have,
ΔABC and ΔEDC are not similar with each other.
we get,
The two triangles are not similar as their measurements are different.
Hence, The true statement is: ΔABC and ΔEDC are not similar .
so, option 4 is correct.
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What is the value of z for the equation fraction 1 over 2z = −fraction 3 over 4 + fraction 1 over 4z? −3 −1 1 3
Answer:
z= -3
Step-by-step explanation:
Given:
1/2z =-3/4 + 1/4z
Collect like terms
1/2z - 1/4z = -3/4
Add 1/2z - 1/4z
2z-z / 4 = -3/4
We have
z/4=-3/4
Same as
z(1/4) = -3/4
Divide both sides by 1/4
z(1/4) ÷ 1/4 = -3/4÷1/4
z(1/4) × 4/1= -3/4 × 4/1
z(4/4) = -12/4
z= -3
The value of z= -3
Answer:
-3
Step-by-step explanation:
I got it right on the test
how do you use determinants to determine whether a quadratic equation has rational or irrational roots
Answer:
Find an integer k for which the roots of the equation will be rational and unequal. To find a value of k that makes the roots rational and unequal the discriminant must be greater than 0 and a perfect square.
Step-by-step explanation:
So if k=0 or k=5 the roots will be rational and unequal. hope this helps you :)
How to do this question plz answer me step by step plzz plz plz plz plz plz plz plz
Answer:
288.4m
Step-by-step explanation:
This track is split into a rectangle and two semi-circles.
We can find the length of the semi-circles by finding its circumference with the formula [tex]2\pi r[/tex].
[tex]2\cdot3.14\cdot30\\188.4[/tex]
However this is half a circle, so:
[tex]188.4\div2=94.2[/tex].
There are two semi-circles.
[tex]94.2\cdot2=188.4[/tex]
Since there are two legs of 50m each, we add 100 to 188.4
[tex]188.4+100=288.4[/tex]m
Hope this helped!
Answer:
Step-by-step explanation:
To solve for the perimeter, we first look at the rectangle in the middle. the length is 50m, and there are two sides to it, so: 50 * 2 = 100m for the top and bottom of the track.
For the circle, we can see the diameter is 30m. To solve for the circumference, we need to use the formula 2πr.
15 * 2π ≈ 94.2477796077
We add that to 100m and get:
194.2477796077
Solve for w. | – w|≥2 Write a compound inequality like 1 < x < 3 or like x < 1 or x > 3. Use integers, proper fractions, or improper fractions in simplest form.
Answer:
[tex]-2 \geq w \geq 2[/tex]
Step-by-step explanation:
Given
[tex]|-w| \geq 2[/tex]
Required
Solve for w
[tex]|-w| \geq 2[/tex]
In absolution functions;
[tex]|-w| = |w|[/tex]
So, the given expression can be rewritten as
[tex]|w| \geq 2[/tex]
Removing the absolute sign, will gibe
[tex]w \geq 2[/tex] or [tex]w \leq -2[/tex]
When the second inequality os rewritten, it gives
[tex]w \geq 2[/tex] or [tex]-2 \geq w[/tex]
Reorder both inequalities
[tex]-2 \geq w[/tex] or [tex]w \geq 2[/tex]
Lastly, both inequalities are combined
[tex]-2 \geq w \geq 2[/tex]
PLEASE HELP ASAP THANKS!!!!!!!!
Answer:
x-√x -12
Step-by-step explanation:
(√x +3)(√x -4)=
x-√x -12
Answer:
the answer is C
Step-by-step explanation:
I used PEMDAS and school knowledge that I learned 2 years ago that I can't explain much, cause I i am bad at math, most of the time
Find the least number which added to 3597 will make it a perfect square?
Answer:
3
Step-by-step explanation:
when 3 is added 3597 becomes 3600 which is square of 60
stagg high school has a rectangular swiming pool the area of the water in the pool is 1,800 meters squared the length is twice the width what is the perimeter of the pool find the length and width. SHOW WORK
Step-by-step explanation:
L*b=1800m^2
L=2b
2b*b=1800
2b^2=1800
b^2=900
b=30m
L=2*30
=60m
Perimeter=2(l+b)
=2(60+30)
=2*90
=180m
A circle has a circumference of 153.86153.86153, point, 86 units.
What is the radius of the circle?
Answer:
Step-by-step explanation:
C=153.86153...
100000C=15386153.86153...
subtract
99999C=15386000
C=15386000/99999
2 π r=15386000/99999
r=7693000/99999π≈24.5
Simplify the following expression and write
in scientific notation.
(0.00045)(500,000)
0.0015
Answer:
Correct
1.5×10^5
Step-by-step explanation:
first multiply 0.00045x500000 then you get 200 and divide that by 0.0015 you will get 150000 the equation will be 1.5x10^5
The expression is in scientific notation [tex]1.5 \times 10^5[/tex].
GivenThe expression is;
[tex]\dfrac{0.00045 \times 500,000}{0.0015}[/tex]
Firstly simplify the equation
[tex]= \dfrac{0.00045 \times 500,000}{0.0015}\\\\= \dfrac{2225}{0.0015}\\\\= 150,000[/tex]
Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.
Therefore,
The expression is in scientific notation.
[tex]= 150,000\\\\= 15 \times 10000\\\\= 1.5 \times 10 \times 10000\\\\= 1.5 \times 10^5[/tex]
Hence, the expression is in scientific notation [tex]1.5 \times 10^5[/tex].
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Need help in the b question... Pls send it fast.. urgent and if possible do it in paper and send or just type it.. need answer for question 1. B
Answer:
2.09 or 2 and 9/100
Step-by-step explanation:
2 1/2 - 41/100 =
5/2 - 41/100=
250/100 - 41/100=
209/100=
2 and 9/100 Or 2.09
I hope this helped you.
Camila llama a cuatro compañeras y les informa sobre una campaña de recoleccion de alimentos. Cada una de estas amigas llama a otras cuatro amigas para contarles sobre la campaña, y luego estas llaman a 4 nuevas amigas.¿cuantas amigas se enteran de este llamado?
Answer:
El total de amigos que se enteran del es 84 amigos.
Step-by-step explanation:
Camila llama a cuatro acompañantes y les informa sobre una colecta de alimentos. Cada uno de estos amigos llama a otros cuatro amigos para contarles sobre la campaña, y luego llaman a 4 nuevos amigos. ¿Cuántos amigos se enteran de esta llamada?
El número de compañeros que llamó Camila = 4 amigos
Cada uno de los cuatro amigos llamó a otros cuatro amigos para hacer = 4 × 4 = 16 amigos
Cada uno de los dieciséis amigos llamó a otros cuatro amigos para hacer = 16 × 4 = 64 amigos
Por lo tanto, el número total de amigos que se enteran de la llamada para dar información sobre una colecta de alimentos = 4 + 16 + 64 = 84 amigos.
Hi i need help asap my parent taught me how to do this equation (x^2-4x)^2+7x^2-28x+12=0 but i still dont understand I really need help understanding this i know the answer i just need an explanation please help me
Answer:
x = 1, x = 2, x = 3
Step-by-step explanation:
Hello, please consider the following.
[tex](x^2-4x)^2+7x^2-28x+12=0 \\\\(x(x-4))^2+7x(x-4)+12=0\\\\\text{Let's note }X = x(x-4)\text{ the equation becomes}\\\\X^2+7X+12=0\\\\\text{The sum of the zeroes is -7=-3+(-4) and the product is 12=(-4)*(-3).}\\\\\text{Wo we can factorise.}\\\\X^2+7X+12=X^2+4X+3X+12=X(X+4)+3(X+4)=(X+4)(X+3)=0\\\\X=-4 \ \ or \ \ X=-3[/tex]
So we need to solve:
[tex]x(x-4)=-4 \ \ or \ \ x(x-4)=-3\\\\<=> x^2-4x-4=(x-2)^2=0 \ \ or \ \ x^2-4x+3=(x-1)(x-3)=0[/tex]
So, the solutions are x = 2, x = 1, x = 3
Thank you
A gardener has 1300 saplings. He wants to plant these in such a way that the number of columns and the number of rows remain same. Find the least number of more saplings he needs for this.
Answer:
69
Step-by-step explanation:
Square root of 1300= 36
(37)²>1300>(36)²
Therefore , the requirement no. to be added to get a perfect square
=(37)²=1369
= 1369- 1300=69
The least no. Of sapling he needs for this = 69
Need help pleases 5 stars
Answer:
The third option is the correct answer
Step-by-step explanation:
I am a 100% sure.
Hope this helps....
Have a nice day!!!!
In each of the following pairs of numbers, state which whole number is on the left of the other number on the number line. Also write them with appropriate sign (>,<) between them (a) 530, 503 (b) 370, 307 (c) 98765, 56789 (d) 10023001
D) in the question
1002, 3001
Answer:
a) 503 b) 307 c) 56789 D) 1002
Step-by-step explanation:
Numbering starts from the left hand side and are arranged in ascending order.
A) (530, 503)
503 < 530
503 is lesser than 530 and as such it is encountered first when numbers are written, hence 503 will appear on the left side of the number line when both are written.
B.) (370, 307)
370 > 307
307 comes before 370, therefore it will appear on the left side of 370 when illustrated on a number line.
C.) (98765, 56789)
98765 > 56789
56789 will appear on the leftside of 98765 when both number are illustrated on a number line.
D.) 1002 < 3001
1002 will appear on the leftside of 98765 when both number are illustrated on a number line.
what is another expression equivalent to 3(8-2)
Answer:
3(6)
??
Step-by-step explanation:
piz help me!!!!
[tex]look \: at \: pic \: piz[/tex]
Simplify 16k/7k a) k+23 b) 9k c) 23k d) 23k^2
Answer:
16/7
Step-by-step explanation:
16k / 7k
Divide the numbers
16/7
Divide the variables
k/k = 1
16/7
