determine whether the given vectors are orthogonal parallel or neither. (a) u=<-9,9,3>, v=<12,-12,-4>

Answers

Answer 1

Answer:

parallel

Step-by-step explanation:

u = <-9,9,3>

v = <12,-12,-4>

test if the given vectors are orthogonal ( dot product = 0 )

we have to find the dot product of the vectors to determine is it will be = 0

u*v = (-9)*(12) + (9)*(-12) + (3)*(-4) = -108 -108 -12= -228 ≠ 0

hence the given vectors is not orthogonal

next check if the vectors are linearly dependent

(-9/12 ) = - 3/4

(9/-12)  =  - 3/4

( 3/-4 )  = - 3/4

since they are linearly dependent then they are parallel


Related Questions

Use the given diagram to answer the question.
Which line is the intersection of two of the planes shown?
V
X
Y
Z
Which Wine intersects one of the planes shown?
W
x
y
z
Which line has points on three of the planes shown?
V
X
Y
Z

Answers

Answer:

X Z Y

Step-by-step explanation:

The first Question is X

The second Question is Z

The third question is Y

Answer:

Q1: X

Q2: Z

Q3: Y

Step-by-step explanation:

the difference of the product of 2 and x, and 9?

Answers

Answer:

2-x-9? If that's the question than it would be -x-7, but your question kinda confuses me.

Step-by-step explanation:

given right triangle ABC with right angle C and cos A= 1/3, which of the following expressions is also equal to 1/3?
a. sinB
b. sin(90°-A)
c. sin(90°-B)
d. Both A and B are correct​

Answers

Answer:

D

Step-by-step explanation:

So we know that:

[tex]\cos(A)=1/3[/tex]

To co-function identities state that:

[tex]\cos(\theta)=\sin(90\textdegree-\theta)[/tex]

Therefore, this is the same as:

[tex]\cos(A)=\sin(90\textdegree-A)[/tex]

B is correct.

Additionally, recall that in a right triangle, the two other angles must add up to 90. In other words:

[tex]A+B=90[/tex]

Subtract A from both sides:

[tex]B=90-A[/tex]

So we can make the substitution:

[tex]\sin(90-A)=\sin(B)[/tex]

Thus, A is also correct.

The correct answer is D .

Answer:D

Step-by-step explanation:

So we know that:

To co-function identities state that:

Therefore, this is the same as:

B is correct.

Additionally, recall that in a right triangle, the two other angles must add up to 90. In other words:

Subtract A from both sides:

So we can make the substitution:

Thus, A is also correct.

The correct answer is D .

Graph the following line using x and y intercepts: x-4y=4

Answers

Answer:

Step-by-step explanation:

first you would get it into y=mx+b and you would get -4y=-x+4 and simplify

y=[tex]\frac{1}{4}[/tex]x+1 and if you graph it it would look like this

Will mark brainliest
Worth 50 points I need help with this practice test.

Answers

Answer:

first question answer: [tex]\frac{1}{12}[/tex]

second question answer: commutative property of multiplication

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{ \: 1. \: \: \: \: \: \frac{1}{12} }}}}[/tex]

[tex] \boxed{ \bold{ \boxed{ \sf{2. \: \: \: \: associative \: property \: of \: multiplication}}}}[/tex]

Step-by-step explanation:

1. [tex] \sf{ \sqrt{ \frac{1}{144} } }[/tex]

⇒[tex] \sf{ \sqrt{ \frac{ {1}^{2} }{ {12}^{2} } } }[/tex]

⇒[tex] \sf{ \sqrt{ { (\frac{1}{12}) }^{2} } }[/tex]

⇒[tex] \sf{ \frac{1}{12} }[/tex]

2. Associative property of multiplication

It states that the product of three or more integers remains unchanged even if they are grouped in different orders.

Hope i helped !

Best regards! :D

Find the surface area of the building - (not including what is on the ground, as if we were going to paint it)

Answers

Answer:

204.4m

Step-by-step explanation:

formula for SA of a rectangle is 2lw+2lh+2hw

so it would be 2(6x5) +2(6x3)+2(5x3)=126m

formula for SA of a triangle is bh+2ls+lb

so it would be 5x2+2(6x3.2)+6x5=78.4m

then add 78.4+126=204.4m

What is the scale factor & what are the x & y values?

Answers

Answer:

Scale Factor = 3

x=45

y=75

Step-by-step explanation:

Scale Factor = 60/20 = 3

x=15*3=45

Y=25*3=75

Find three consecutive integers whose sum is 216. (Hint: if n represents the smallest of the three integers, n + 1 and n + 2 represent
the other two numbers.)

Answers

Answer:

71, 72, 73

Step-by-step explanation:

So we want to find three consecutive integers that equal 216.

Let the first integer be n.

Then the second integer is n+1, and the third integer is n+2.

Thus:

[tex]n+(n+1)+(n+2)=216[/tex]

Combine like terms:

[tex]3n+3=216[/tex]

Subtract 3 from both sides:

[tex]3n=213\\[/tex]

Divide 3 from both sides:

[tex]n=71[/tex]

So, the first term is 71.

And the other two is 72 and 73.

And we are done :)

Which is the closest estimate of the following sum? 4.038 + 5.5 + 2.17

Answers

Answer:

12

Step-by-step explanation:

Round 4.038 down to 4

Round 5.5 up to 6

Round 2.17 to 2

4+6+2 = 12

Suppose that a box contains 6 cameras and that 3 of them are defective. A sample of 2 cameras is selected at random. Define the random variable X as the number of defective cameras in the sample.

Answers

Answer: 1/5, 1/2, 0.

Step-by-step explanation:

given data:

no of cameras = 6

no of cameras defective = 3

no of cameras selected = 2

Let p(t):=P(X=t)

p(2)=m/n,

m=binomial(3,2)=3!/2!= 3

n=binomial(6,2)=6!/2!/4! = 15

p(3)= 3/15

= 1/5.

p(1)=m/n,

m=binomial(6,1)*binomial(2,2)=6!/1!/4!*2!/2!/0!= 7.5

n=binomial(6,2)= 15

p(2)= 7.5/15

= 1/2

p(0)=m/n,

m=0

p(0)=0

Answer:

a.

The probability of X

k                                             P(X=k)

0                                              0.25

1                                               0.5

2                                              0.25

b. The expected variable value of X; E(X) = 1

Step-by-step explanation:

Given that:

number of cameras = 6

numbers of defective  = 3

the probability of defective camera p = 3/6 = 0.5

sample size n = 2

Then X = {0,1,2}

Suppose X is the given variable that represents the number of defective cameras in the sample.

X [tex]\sim[/tex] Bin (n =2, p = 0.5)

The probability mass function of binomial distribution can be computed as :

[tex]P(X =x) = (^n_x) p^x (1-p)^{n-x}[/tex]

For  ;

x = 0

The probability P(X=0)  [tex]= (^2_0) 0.5^0 (1-0.5)^{2-0}[/tex]

[tex]P(X=0) = \dfrac{2!}{0!(2-0)!} \times 1 \times 0.5^2[/tex]

[tex]P(X=0) =1\times 1 \times 0.25[/tex]

[tex]P(X=0) = 0.25[/tex]

For :

x = 1

The probability P(X=1)  [tex]= (^2_1) 0.5^1 (1-0.5)^{2-1}[/tex]

[tex]P(X=1) = \dfrac{2!}{1!(2-1)!} \times 0.5^1 \times 0.5^1[/tex]

[tex]P(X=1) =2 \times 0.5 \times 0.5[/tex]

[tex]P(X=1) =0.5[/tex]

For :

x = 2

The probability P(X=2)  [tex]= (^2_2) 0.5^2 (1-0.5)^{2-2}[/tex]

[tex]P(X=2) = \dfrac{2!}{2!(2-2)!} \times 0.5^2 \times 0.5^0[/tex]

[tex]P(X=2) =1 \times 0.5^2 \times 1[/tex]

[tex]P(X=2) =0.25[/tex]

The probability of X

k                                             P(X=k)

0                                              0.25

1                                               0.5

2                                              0.25

The expected variable value of X can be computed as:

E(X) = np

E(X) = 2 × 0.5

E(X) = 1

What is the range of the following numbers?

Answers

Answer:

19

Step-by-step explanation:

hey there,

< First, always start by putting all the numbers given in numerical order. Here, it would be: 6, 12, 18, 20, 25

The range is the largest number (25) minus the smallest number (6). So 25-6 = 19. >

Hope this helped! Feel free to ask anything else.

I can’t figure out the answer to 4X+14

Answers

Answer:

What is the =

Step-by-step explanation:

4x would be 4x4, 16. Then you add 14!

What is the value of I-25I

Answers

Answer:

25

Step-by-step explanation:

Answer:

25

Use a number line.

The distance between -25 and 0 is 25.

So, that is your answer. Hope it helps!

Each side of a square is increasing at a rate of 5 cm/s. At what rate is the area of the square increasing when the area of the square is 36 cm2

Answers

Answer: 60

Step-by-step explanation:

[tex]A = s^2\\\\frac{dA}{dt}=2s \frac{ds}{dt}\\36=s^2 \\ s=6\\\frac{dA}{dt} = 2(6)(5)=60 \frac{cm^2}{s}[/tex]

Answer:

The area of the square is increasing at a rate of 60 cm²/s

Step-by-step explanation:

Let [tex]l[/tex] be the length of the side of the square

Hence, The area of the square is given by

[tex]A = l^{2}[/tex]

Where [tex]A[/tex] is the area of the square

From the question, each side of a square is increasing at a rate of 5 cm/s, that is,

[tex]\frac{dl}{dt} = 5 cm/s[/tex]

Now, to determine the rate at which the area of the square is increasing, That is [tex]\frac{dA}{dt}[/tex]

To find [tex]\frac{dA}{dt}[/tex], differentiate [tex]A = l^{2}[/tex] with respect to [tex]t[/tex]

From, [tex]A = l^{2}[/tex]

[tex]\frac{dA}{dt} = \frac{d(l^{2}) }{dl}[/tex] ×[tex]\frac{dl}{dt}[/tex]

[tex]\frac{dA}{dt} = 2l[/tex] ×[tex]\frac{dl}{dt}[/tex]

Now, to determine the rate at which the area of the square is increasing when the area of the square is 36 cm²

First, we will determine the length at this instance,

From, [tex]A = l^{2}[/tex]

[tex]36 = l^{2}\\ \sqrt{36} = l\\6 = l\\l = 6cm[/tex]

The length at this instance is 6cm

To determine the rate at which the area of the square is increasing at this instance

[tex]l = 6cm\\[/tex]

From the question,  [tex]\frac{dl}{dt} = 5 cm/s[/tex]

Hence,

[tex]\frac{dA}{dt} = 2l[/tex] ×[tex]\frac{dl}{dt}[/tex]

[tex]\frac{dA}{dt} = 2(6)[/tex] × [tex]5[/tex]

[tex]\frac{dA}{dt} = 60 cm^{2}/s[/tex]

Hence. the area of the square is increasing at a rate of 60 cm²/s

which of the following are properties of a trapezoid? Select all that apply​

Answers

Answer: b, d, e

Trapezoids are quadrilaterals (a shape with four sides) and they have two pairs of sides; one pair are parallel, and the other pair are not.

Picture shown below.

The correct properties of a trapezoid are:

They are quadrilaterals.It has one pair of opposite sides that are parallel.It has one pair of opposite sides that are not parallel.

A trapezoid is a quadrilateral, which means it has four sides. One defining property of a trapezoid is that it has one pair of opposite sides that are parallel. This means that these parallel sides never intersect.

Additionally, a trapezoid has another pair of opposite sides that are not parallel, which means they do intersect. Unlike a rectangle or square, a trapezoid does not have all sides congruent.

Lastly, the diagonals of a trapezoid do not necessarily intersect at right angles. The angle formed by the intersection of the diagonals can vary in size. These properties collectively distinguish a trapezoid from other quadrilaterals and make it a unique shape.

Learn more about trapezoids here:

https://brainly.com/question/7429314

#SPJ4

ILL GIVE YOU BRAINLIST !

The expression f - 26 represents the year Alabama entered the Union, where fis the year Florida entered. In which year did Alabama enter the Union?

F 1819

H 1837

G 1826

J 1871

Answers

Answer:

1819

Step-by-step explanation:

i believe it’s f1819

Normal probability plots indicate that the sample data come from normal populations. Are the requirements to use the​ one-way ANOVA procedure​ satisfied?

Answers

Answer:

No it is not satisfied

Step-by-step explanation:

The one-way ANOVA is used to measure whether the difference between the means of two independent groups are statistically significant.

For it to be satisfied, there has to be one independent variable which is categorical and one dependent variable. The dependent variable on its own has to be a continuous variable

The assumptions are:

1. Equal variance between population

2. Independence between observations

3. The random samples have to be gotten from a normal population.

- + 10.8 is: rational irrational

Answers

Answer:

i think it is rational but if u guess u have a 50/50 chance

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

I believe the answer is rational because it’s a decimal and goes with the rational category.

What should be subtracted from thrice the rational number -5/3 to get 1/2?​

Answers

Answer:

The number to be subtracted = -11/2

Step-by-step explanation:

(3*rational number)-x=1/2

The rational number given = -5/3

Then thrice the rational number

= 3*rational number

= 3*(-5/3)

= -5

(3*rational number)-x=1/2

-5-x= 1/2

-5- 1/2= x

-11/2= x

The number to be subtracted = -11/2

The mass of a box is 300kg and its base area is 15m^2. calculate the pressure exerted by the box on the ground( gravity=9.8m/s^2)​

Answers

Answer:

Explanation:

Given;

Mass of a box (m) = 300kg

Area of box (a) = 15m²

Pressure exerted by the box (P) = ?

Acceleration due to gravity (g) = 9.8m/s²

Here,

Pressure = Force / Area

= mass × acceleration due to gravity / Area [Since, force=mass×acceleration due to gravity]

= 300 × 9.8 / 15

= 2940 / 15

= 196 N/m²

(Please show your work.)

Answers

Answer:

B

Step-by-step explanation:

So we have:

[tex]g(x)=x^2+3x-1[/tex]

To find g(5), substitute 5 for x:

[tex]g(5)=(5)^2+3(5)-1[/tex]

Square and multiply:

[tex]g(5)=25+15-1[/tex]

Add:

[tex]g(5)=40-1[/tex]

Subtract:

[tex]g(5)=39[/tex]

So, our answer is B :)

Answer: OPTION 2. 39

Step-by-step explanation:

g(x)=x²+3x-1 ⇔ Given

g(5)=(5)²+3(5)-1 ⇔ Plug the value of x in (5)

g(5)=25+15-1 ⇔ do all the operation (square, multiplication, etc.)

g(5)=40-1 ⇔ combine like term (first do the first two)

g(5)=39 ⇔ combine like term

Hope this helps!! :)

Please let me know if you have any question

There are 12 inches in 1 foot and 5280 feet in 1 mi Elena ran 2.5 miles how many inches is that

Answers

Answer:

there are 63360 inches in 1 mile. if you divide 2 into 63360 and add that with it, that should give you the accurate answer

Name a point coplanar to point K.​

Answers

Answer:

Point N

Step-by-step explanation:

According to Euclidean geometry, two points are coplanar when they are in the same line segment. By this approach, it is clear that points K and N are part of the same line segment and, consequently, point N is coplanar to point K.

About Integral-Volume of a Sphere. Could you help me,please?

Answers

Answer:

check the answer

Step-by-step explanation:

find the answer in the attached file

Please explain How you got the Answer

Answers

Answer:

The radius is [tex] 2\sqrt{15} [/tex]

The center is (3, 3)

Step-by-step explanation:

Equation of circle in standard form with center at (h, k) and radius r:

[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]

We need to complete the square in x and y.

[tex] x^2 + y^2 - 6x - 6y = 42 [/tex]

Separate x-terms and y-terms:

[tex] x^2 - 6x + ~~~~~y^2 - 6y + ~~~~~ = 42 + ~~~~~ + ~~~~~ [/tex]

To complete the square, you square half of the linear term's coefficient.

Linear term in x: -6x

Coefficient: -6

Half of the coefficient: -3

Square half of the coefficient: 9

We need to add 9 to both sides to complete the square in x.

The linear term in y is -6y, so we do the same and we also need to add 9 to both sides to complete the square in y.

[tex] x^2 - 6x + 9 + y^2 - 6y + 9 = 42 + 9 + 9 [/tex]

[tex] (x - 3)^2 + (y - 3)^2 = 60 [/tex]

Now that we have the equation in standard form, we can get the radius and center of the circle.

[tex] r^2 = 60 [/tex]

[tex] r = \sqrt{60} [/tex]

[tex] r = \sqrt{4 \times 15} [/tex]

[tex] r = 2\sqrt{15} [/tex]

The radius is [tex] 2\sqrt{15} [/tex]

The center is (3, 3)

what is found on pages starting with the letter g

Answers

Answer:

gay

Step-by-step explanation:

i mean it starts with a g doesnt it?

Answer:

google?

Step-by-step explanation:

There are can be can be many things found on the pages starting with the letter g.

The graph shows the solution to a system of equations. What is that solution?

Answers

Answer:

(-2,2)

Step-by-step explanation:

Usually in these types of questions, the solution is the intersection point between the two equations. These two lines intersect at what looks like the point (-2,2) so that is the solution.

Hope this helped!

A square has an area of 121 square feet. What is the side length of the square

Answers

Answer:

11 feet

Step-by-step explanation:

The area of a square is simply the side of the square squared.  This can be written as an equation as follows:

A = l^2

where A is the area of the square and l is the length of a side of the square.

Using this, we can find the length of the side.

121 = l^2

sqrt(121) = sqrt (l^2)

11 = l

Hence, the side length of the square is 11 feet.

Cheers.

Answer:

11

Step-by-step explanation:

[tex]Area = s^2[/tex]

s = side

[tex]A =121\\121 = s^2\\Square\:root\:both\:sides\:of\:the\:equation\\\sqrt{121}=\sqrt{x^2} \\\\11 =x\\x=11[/tex]

A book sold 33,900 copies in its first month of release. Suppose this represents 9.1% of the number of copies sold to date. How many copies have been sold to date?

Answers

Answer:

Around 372,527 (rounding down)

Step-by-step explanation:

To solve this, divide the amount of the books sold in the month it was released (33,900) by the percentage of total copies this number represents (9.1% or .091):

33,900/.091 = 372,527.473 or 372,527 (if you round down) or 372,528 (if you round up)

I hope this helps!

-TheBusinessMan

For what values of x is each function increasing? For what values of x is it decreasing? a. f(x) = x2 - 4x​

Answers

Answer:

to the right of x = 2 the function is increasing

{ x | x > 2}

Step-by-step explanation:

Recall that this is a quadratic function, and therefore responds to the shape of a parabola. In this case is also a parabola with branches opening up since the coefficient of the square term is positive. So, we just need to find where the vertex is located, and we know that to the left of the x-value of the vertex the function is decreasing, and to the right of it the function is increasing.

The formula for the x of the vertex of a parabola of the form:

[tex]y=ax^2+bx+c[/tex]

is  [tex]x_{vertex}=\frac{-b}{2\,a}[/tex]

which in our case gives:

[tex]x_{vertex}=\frac{-b}{2\,a} =\frac{4}{2} =2[/tex]

Therefore, to the left of x = 2 the function decreases , and to the right of x = 2 the function is increasing.

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