Answer:
C
Step-by-step explanation:
$28.80
Answer:
c
Step-by-step explanation:
in exercises 15-20 find the vector component of u along a and the vecomponent of u orthogonal to a u=(2,1,1,2) a=(4,-4,2,-2)
Answer:
The component of [tex]\vec u[/tex] orthogonal to [tex]\vec a[/tex] is [tex]\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)[/tex].
Step-by-step explanation:
Let [tex]\vec u[/tex] and [tex]\vec a[/tex], from Linear Algebra we get that component of [tex]\vec u[/tex] parallel to [tex]\vec a[/tex] by using this formula:
[tex]\vec u_{\parallel \,\vec a} = \frac{\vec u \bullet\vec a}{\|\vec a\|^{2}} \cdot \vec a[/tex] (Eq. 1)
Where [tex]\|\vec a\|[/tex] is the norm of [tex]\vec a[/tex], which is equal to [tex]\|\vec a\| = \sqrt{\vec a\bullet \vec a}[/tex]. (Eq. 2)
If we know that [tex]\vec u =(2,1,1,2)[/tex] and [tex]\vec a=(4,-4,2,-2)[/tex], then we get that vector component of [tex]\vec u[/tex] parallel to [tex]\vec a[/tex] is:
[tex]\vec u_{\parallel\,\vec a} = \left[\frac{(2)\cdot (4)+(1)\cdot (-4)+(1)\cdot (2)+(2)\cdot (-2)}{4^{2}+(-4)^{2}+2^{2}+(-2)^{2}} \right]\cdot (4,-4,2,-2)[/tex]
[tex]\vec u_{\parallel\,\vec a} =\frac{1}{20}\cdot (4,-4,2,-2)[/tex]
[tex]\vec u_{\parallel\,\vec a} =\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)[/tex]
Lastly, we find the vector component of [tex]\vec u[/tex] orthogonal to [tex]\vec a[/tex] by applying this vector sum identity:
[tex]\vec u_{\perp\,\vec a} = \vec u - \vec u_{\parallel\,\vec a}[/tex] (Eq. 3)
If we get that [tex]\vec u =(2,1,1,2)[/tex] and [tex]\vec u_{\parallel\,\vec a} =\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)[/tex], the vector component of [tex]\vec u[/tex] is:
[tex]\vec u_{\perp\,\vec a} = (2,1,1,2)-\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)[/tex]
[tex]\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)[/tex]
The component of [tex]\vec u[/tex] orthogonal to [tex]\vec a[/tex] is [tex]\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)[/tex].
What's Ta
Try solving the following problem
In a group of 120 students, 68 had ridden a bus, 78 had ridden the LRT. 33
had ridden a jeep, while 40 had ridden both the bus and the LRT, 20 had ridden
the bus and the jeep, 19 had ridden the LRT and the jeep and 15 had ridden the
bus, the LRT and the jeep.
a. How many had ridden the bus only?
b. How many had ridden the LRT only?
c. How many had ridden the jeep only?
d. How many did not ride on any of the three modes of transportation?
Answer:
A.) bus only = 23
B.) LRT only = 34
C.) Jeep only = 9
D.) 5
Step-by-step explanation:
Let :
B = bus ; J = Jeep ; L = LRT
KINDLY CHECK ATTACHED PICTURE FOR DETAILED EXPLANATION
A set is a group of related item.
34 had ridden on LRT only23 had ridden on bus only9 had ridden on jeep only5 did not ride on anyLet:
[tex]Total =120[/tex]
[tex]B = 68 \to Bus[/tex]
[tex]L = 78 \to LRT[/tex]
[tex]J =33 \to Jeep[/tex]
[tex]n(B\ n\ L) = 40[/tex]
[tex]n(B\ n\ J) = 20[/tex]
[tex]n(L\ n\ J) = 19[/tex]
[tex]All = 15[/tex]
(a) Bus only
This is calculated using:
[tex]B\ only = B - n(B\ n\ L) - n(B\ n\ J) + All[/tex]
So, we have:
[tex]B\ only = 68 - 40 - 20 + 15[/tex]
[tex]B\ only = 23[/tex]
(b) LRT only
This is calculated using:
[tex]L\ only = L - n(B\ n\ L) - n(L\ n\ J) + All[/tex]
So,
[tex]L\ only = 78 - 40 - 19 + 15[/tex]
[tex]L\ only = 34[/tex]
(c) Jeep only
This is calculated using:
[tex]J\ only = J - n(B\ n\ J) - n(L\ n\ J) + All[/tex]
So, we have:
[tex]J\ only = 33 - 20 - 19 + 15[/tex]
[tex]J\ only = 9[/tex]
(d) None
Let x represents those that took none of the means of transport.
So, we have:
[tex]Total = B\ only + J\ only + L\ only + [n(B\ n\ L) -All] +[n(B\ n\ J) -All] +[n(L\ n\ J) -All] + All + x[/tex]
This gives
[tex]120= 34 + 23 + 9 + [40 -15] +[20 -15] +[19 -15] + 15 + x[/tex]
[tex]120= 115 + x[/tex]
Collect like terms
[tex]x = 120 - 115[/tex]
[tex]x = 5[/tex]
See attachment for the Venn diagram of the set.
Read more about sets at:
https://brainly.com/question/7013716
Given the circumference of a circle formula, solve for r
Please answer!
Answer:
b
Step-by-step explanation:
divide both sides by 2pi
Write the multiplicative comparison statement as an equation.
18 is 3 times as many as 6.
Answer:
18 = 3 × 6
Step-by-step explanation:
PLEASE HELP ASAP
Prove that triangles PQR and RSQ are congruent.
Given:
PQ = RS, and
Answer:
Step-by-step explanation:
ok so lets assume that line PQ and RS and QR and PS are parallel lines cut by a transeversal. To prove this you can do it in a couple of different ways the one way i know is that if you assume these are parralel then you can uses the alternate interior anges to prove that measure of QSP and SQR then by logic you know that PQS + SQR = RSQ+QSP which symplifies to PQR = RSQ
A population has standard deviation g = 17.2.
Part 1 of 2
(a) How large a sample must be drawn so that a 99.8% confidence interval for I will have a margin of error equal to 3.8?
Round the critical value to no less than three decimal places.
Round the sample size up to the nearest integer.
A sample size of is needed to be drawn in order to obtain a 99.8% confidence interval with a margin of error equal to
3.8.
Part 2 of 2
(b) If the required confidence level were 80%, would the necessary sample size be larger or smaller?
(Choose one) because the confidence level is (Choose one)
х
Answer:
idk
Step-by-step explanation:
I think of two numbers.
When I add the numbers, the answer is 8.
When I subtract the numbers, the answer
Is less than 6.
What can the numbers be?
The two numbers can be _ and _ .
Answer:
There are a variety of possible answers, including the following:
4 and 4 (4 + 4 = 8........4 - 4 = 0.......... 6 > 0)
6 and 2 (6 + 2 = 8........6 - 2 = 4.......... 6 > 4)
5 and 3 (5 + 3 = 8.........5 - 3 = 2.......... 6 > 2)
And for the subtraction, each can be reversed (2 - 6 ...... 3 -5 ...... etc.)
Answer:
2 and 3 is the answer we know it right
What is the ratio of the two quantities? Warning: different units! a 4 seconds to 2 min
Answer:
17:420
Step-by-step explanation:
17 seconds : 7 minutes
7 minutes = 420 seconds
17:420
The ratio of time measurements in two different units is 1/30.
What is Ratio?Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
Given are the time measurements in two different units.
Converting 2 minutes into seconds -
2 min = 2 x 60 = 120 seconds
Now, 4 seconds to 120 seconds can be written as fraction below -
x/y = 4/120 = 1/30
Then, the ratio will be -
x : y = 1 : 30
Therefore, the ratio of time measurements in two different units is 1:30
To solve more questions on Ratios, visit the link below-
https://brainly.com/question/8169882
#SPJ2
Which word best describes Dr. Reefy
what is the least common factor of 25 and 8
Answer:
1 hope this helps
Step-by-step explanation:
A packet of crisps contains 1.2 g of salt .Lucy eats 0.7 of the packet of crisps.How much salt does she eat
Answer:
1.9
Step-by-step explanation:
1.9 is the answer because if you add 1.2+0.7=1.9
Solve A=4πr² for π. What is the solution to this problem?
Answer:
A/4r²=π
Step-by-step explanation:
A=4πr²
Divide each side by 4r²
A/4r²=4πr² /4r²
A/4r²=π
Carlos was baking 1,000 cookies for a yard sale. 3 people bought 82 cookies each. How many cookies does Carlos have left? Explain.
Answer: 754
Step 1: Multiply 82 x 3.
82 x 3 = 246.
Step 2: Subtract 246, because he sold this much cookies.
1,000 - 246 = 754
Answer = 754.
Hope this helps you!
Answer:
First we need to multiply 3x82. 3x82=246 now we need to subtract 246 from 1,000. 1,000-246=754
Step-by-step explanation:
Tyler Invests $7900 in two different accounts. The first account paid 9 %, the second account paid 8
% in Interest. At the end of the first year he had earned $674 in interest. How much was in each
account?
$
at 9 %
$
at 8 %
Answer:
the dollar for 9 interstate is 16 rupees is and interest rate for 88 percentage is is 14 rupees
6 apples cost exactly the same as 9 oranges. 10 apples and 10 oranges cost $7.50. Find the cost of 1 apple and the cost of 1 orange.
Answer:6 apples cost exactly the same as 9 oranges. 10 apples and 10 oranges cost $7.50. Find the cost of 1 apple and the cost of 1 orange.
Step-by-step explanation:
help with this immediately
Answer:
c
Step-by-step explanation:
%gggggyyhhttbu6gnmk8tg
Please I need some answers a few is fine
Which relationships have the same constant of proportionality between Y and as the equation Y=5/2 X
Answer:
I'm pretty sure it's 10/4 but I'm not totally sure
Answer:
on Khan the answer is B,C,E
The scale of a map says that 3 cm represents 8 km.
1. What distance on the map (in centimeters) represents an actual distance of 20
kilometers?
2. What is the actual number of kilometers that is represented by 12 centimeters on the map?
(Just type the number in your answer.)
Step-by-step explanation:
mark above answer BRILLIANT
1. Michael deposited $500 in his bank account that pays 4% semi-annual compounded interest. If he does not touch the money for 5 years, how much money will be in the account?
Answer:
$609.50
Step-by-step explanation:
A = P(1 + r/n)^nt
= 500(1 + [tex]\frac{.04}{2}[/tex])^2(5)
= 500(1.02)¹⁰
= 500(1.218994)
= 609.497
Round answer up to $609.50
What is m,y-intercept and the y
Answer: The slope is 500 and the y intercept is 0.
Step-by-step explanation:
To find the slope we need to find the rise and divide it by the run. The y intercept will be when x is equal to 0. And when x is 0 y is also zero because it cuts through the origin meaning that the y-intercept is 0.
The line rises up by 1000 and run by 2 to the right.
Slope : 1000/2 = 500
The slope is 500.
Please help
An isosceles triangle is shown. Which two angles must be congruent?
Answer:
C. Angle I and Angle H
Step-by-step explanation:
The congruncy lines on either side of the triangle show that.
An isosceles triangle has two congruent angles.
The two angles that must be congruent are: [tex]\mathbf{\angle I \cong \angle H}[/tex]
From the figure, we observe that side lengths HJ and HI are congruent.
The above highlight means that: the angles at the other points of HJ and HI.
The common point of HJ and HI is H, while the other points are J and I
So, the angles at J and I are congruent.
Hence, the correct option is (c)
Read more about isosceles angles at:
https://brainly.com/question/21736141
Jumping makes a frog so tired, each successive jump is 2/3 the distance of the previous hump. If a frog jumps 24 cm on its first jump, how far will the frog travel after four jumps?
Find the measure of ZMLN
degrees. (Numbers only for your answer)
Which net represents this triangular prism?
Answer:
If you talking about iready. It's the first pink one.
Step-by-step explanation:
i will brainlist and give lots of points and stuff if you answer these 6 problems!!!!!!! PLEASE HELP MEEE btw i accidently click a answer botton on the first do but do thoes too pllllllsssssssssssss
ANSWER:
1.3/2
2.4/27
3.2/25
4.3/25
5.4
Answer:
1.3/2
2.4/27
3.2/25
4.3/25
Step-by-step explanation:
Jackson spent $3,472 on a new TV. If he paid it off in 16 equal payments, how much was each payment?
A $217
B $237
C $207
D $227
Answer:
A. 217
Step-by-step explanation:
3,472/16 = 217
PLEASE HELP!!!!! How do you turn 0.480 into a fraction???? PLEASE SHOW WORK IF YOU CAN?
Answer:
the answer is 48/100 im pretty sure .
Step-by-step explanation:
Answer:
12/25
Step-by-step explanation:
first you take your decimal and because it is a decmial the decimal is in a fraction, 48/100 don't pay attention to any 0's behind any other number.
once you have 48/100 divide the numerator(the top of the fraction) and the denominator(the bottom of the fraction) and divide it by 4
Isabella and Madeline share a bag of cherries. if isabella eats 25% of the cherries and there are 76 cherries in the bag, how many cherries did isabella eat?
Answer:
19
Step-by-step explanation:
pls help will give brainliest
Answer:3rd one
Step-by-step explanation: