Evaluate the expression.

r = <9, -7, -1>, v = <2, 2, -2>, w = <-5, -2, 6>

v ⋅ w

A) <-18, 14, -2>
B) -26
C) 1
D) <-10, -4, -12>

Answers

Answer 1
In general if 
u = <a,b,c>
v = <d,e,f>
then
u dot v = a*d + b*e + c*f = dot product of the two vectors
In words: multiply the x coordinates together, then the y together and then z together. Finally add up those three products

So,
v dot w = <2,2,-2> dot <-5,-2,6>
v dot w = 2*(-5) + 2*(-2) + (-2)*6
v dot w = -10 - 4 - 12
v dot w = -26

Answer: B) -26
Answer 2

the above person lied and used bots for 5 star ratings the real answer is 6.
Evaluate the expression.

r = <9, -7, -1>, v = <2, 2, -2>, w = <-5, -2, 6>

v ⋅ r (3 points)

<18, -14, 2>

You Answered -26

1

Correct Answer 6


Related Questions

a submersible traveling at a depth of 250 feet dives at an angle of 15 degrees with respect to a line parallel to the water's surface. it travels a horizontal distance of 1500 feet during the dive. what is the depth of the submersible after the dive

Answers

The ratio of depth to horizontal distance is the tangent of the angle of depression.

250 +tan(15°)*1500 = 651.9 . . . . . feet
250+15=265+1500=1765 so that's your final answer 

a water jug holds 1 gallon. Cooper is going to pour the water in glasses that each hold 1 pint.How many glasses can cooper fill

Answers

He will be able to fill up 8 glasses.

Pete bagged 18 bags in 9 minutes. How many bags did he bag in 1 minute.

Answers

he bagged 2 bags in one minute
The equations for the given information would be 18b = 9. Divide 18 by 9, which equals 2. Pete then could have bagged 2 bags in 1 minute.

classify the following triangle as acute, obtuse, or right

Answers

Answer:

Step-by-step explanation:

Alright, lets get started.

Once the triangle has all angles less than 90 degree, is called Acute triangle.

Once the triangle has one angle more than 90 degree, is called Obtuse triangle.

Once the triangle has one angle equal to 90 degree, is called Right triangle.

So, the given triangle has its angle 55, 55, 70.

Each angle is acute angle, so the triangle is Acute triangle.  :   Answer

Hope it will help :)

Madison has to read a book that is 260 pages. Her mom says she can take a break when she is 30% finished. How far does she need to read? A) 8 pages B) 17 pages C) 78 pages D) 87 pages

Answers

Use proportions. 

30/100=x/260 cross multiply           

260*30=7,800
7,800=100x
Then divide
hi there. 

your answer is: C.78 pages.

hope this helps!

is 4 yards bigger than 13 feet

Answers

1 yard = 3 feet

4 yards x 3 feet = 12 feet

12 feet is less than 13 feet


So False, 4 yards is less than 13 feet

hope this helps
Hello, 

Here is your answer:

The proper answer to this question is "no".

1 yard=3 feet

4*3=12

12<13

Your answer is no.

If you need anymore help feel free to ask me!

Hope this helps!

Matt paid $55 at a restaurant. That amount included a 10% tip. What was the check amount before the tip?

Answers

The answer to this is $50.

Answer:

The amount before the tip  is $50.

Step-by-step explanation:

Given : Matt paid $55 at a restaurant. That amount included a 10% tip.

To find : What was the check amount before the tip?

Solution : We have given

Matt paid  = $55 .

amount included a 10% tip.

Let the amount before the tip = x.

Tip amount = 10% of x is

[tex]\frac{10 x}{100}[/tex] = 0.1 x .

Tip amount = 0. 1 x

Total amount = x + 0.1x = 55 .

1.1 x = 55.

On dividing both sides by 1.1

x = 50.

So, the amount before the tip  is $50.

Therefore, The amount before the tip  is $50.

the length of a train car is 50.6 feet. This is 5.8 feet less than 6 time the width. What is the width?

Answers

The problem says that the length of a train car is 50.6 feet and it is 5.8 feet less than 6 time the width. Then, you can express it as below:
 
 L=6W-5.8
 
 L: it is the length of the train car (L=50.6 feet).
 W: it is the width of the train car.
 
 Then, you must substitute the value of the lenght (L=50.6 feet) into the equation L=6W-5.8, and clear the width "W", to find its value, as below:
 
 L=6W-5.8
 50.6+5.8=6W
 6W=56.4
 W=56.4/6
 W=9.4 feet
 
 What is the width?  The answer is: The widht is 9.4 feet (W=9.4 feet).

Rasheed takes a taxi in Pittsburgh for 5.6 miles. The initial charge is $5.00 and you are charged $2.10 per mile. The driver automatically calculates a 15% tip and adds it to the cost. What is the total cost of the taxi ride? _

Answers

T= total taxi cost
m= # of miles

Multiply the quantity (1 plus the tip) times ((mileage charge times the number of miles) plus the initial fee.)

T= (1 + 15% tip )($2.10m + $5 fee)
T= (1.15)[(2.10)(5.6) + 5]
T= (1.15)(11.76 + 5)
T= (1.15)(16.76)
T= $19.27

Total taxi ride is $19.27.

Hope this helps! :)

You build and sell toy cars $36 each. So far you have built 24 toy cars how many more toys cars will you have to build and sell to earn 1,620?

Answers

Hello!

We know that you sell each toy car for $36.00 and you've made 24 so far.

Multiply the price of each car by how many you've made so far.

36 × 24 = 864

This means you'll make $864.00 when you sell 24 cars.
Since you want to earn $1620.00 and you've already got $864.00 of it, subtract the money you'll get from 24 cars from how much money you want to earn.

1,620 - 864 = 756

Finally, divide this by the cost of each car.

756 ÷ 36 = 21

So, you'll have to build and sell 21 more cars to earn $1,620.00.

please help me solve 7-30 worth 30 points

Answers

7. 0.78 8. 0.55 9. 0.185 10. 0.574 11. 0.33 12. 0.09 13. 0.4763 14. 0.9125


15. 1.66 16. 2.17 17. 0.0006 18. 0.00034 19. 74% 20. 52% 21. 89% 22. 76.8%


23. 99% 24. 49% 25. 48.7% 26. 12.8% 27. 368% 28. 512% 29. 3.71%


30. 0.46% Converting Decimal to Percentage, Multiply Decimal by 100. Percentage to Decimal, divide by 100.

Answer:

for the changing decimal to percent just change each decimal to a whole number for example .99=99 percent and 3.68 = 368 percent

Step-by-step explanation:

which of the following is equal to the rational expression below when x=11?
x^2-121/x+11
a. x-11
b. x+11
c. x+11/x-11
d. 1/x-11

Answers

Final answer:

The algebraic expression that is equivalent to the given rational expression is (x-11), but when we substitute x=11 into the expression, we receive 0. However, this leads to an indeterminate form in the original rational expression.

Explanation:

The rational expression given in the question is x^2-121/x+11. If we factorize x^2-121, we'll get (x-11)(x+11), because x^2-121 is a difference of squares. Now, the expression becomes: (x-11)(x+11)/(x+11). We see that (x+11) on numerator and denominator will cancel out each other. This leaves us with (x-11).

Now, let's substitute x=11 in (x-11). We obtain 11-11 which equals 0. So the correct answer is (x-11), but we get 0 when we substitute x=11 into the expression. This actually results in an indeterminate form because the original rational expression becomes a 0/0 form, which points to a situation of undefined or indeterminate form.

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Factor
12x^5+6x^2-18

A) 6x^2(2x^3+x−3)

B) 12(x^5+6x^2−18)

C) 6(2x^5+x^2−3)

D) 6(2x^5+6x^2−18)

Answers

C on that one which is the correct answer
The answer would be...
 
6(x-1)(2x^4+2x^3+2x^2+3x+3)

I hope this helped but I couldn't see this as one of the multiple choice answers but I worked it out and this I what I got

Partition a number line from 0 to 1 into fourths.Decompose 3/4 into 6 equal lengths.

Answers

Step 1
Partition a number line from 0 to 1 into fourths
1 into fourths--------> 1/4
(0)----------------(1/4)----------------(2/4)---------------(3/4)---------------(4/4)
(0)---------------------------------------------------------------------------------(1)


Step 2 
Decompose 3/4 into 6 equal lengths

Note that in the previous graph the number 3/4 is divided into 3 equal parts. so to divide it into 6 equal parts we will divide the space of 1/4 between 2 to obtain spaces of 1/8

(0)----------------(1/4)----------------(2/4)---------------(3/4)----------------(4/4)
(0)-----(1/8)-----(2/8)-----(3/8)-----(4/8)-----(5/8)----(6/8)-----(7/8)----(8/8)

Final answer:

To partition a number line into fourths, divide it into four equal segments, with each representing 1/4. To decompose 3/4 into 6 equal lengths, divide 3/4 into six parts where each part is 1/8 of the whole.

Explanation:

Partitioning a Number Line into Fourths and Decomposing Fractions

To partition a number line from 0 to 1 into fourths, you would divide the line into four equal segments. Each segment represents a value of 1/4. Now, to decompose 3/4 into 6 equal lengths, realize that each 1/4 is being divided into two parts (since 6 divided by 3 equals 2), which means each part is 1/8 in length. Therefore, 3/4 divided into 6 equal lengths gives us 6 segments, each of length 1/8.

Step-by-Step Solution

Draw a number line from 0 to 1.

Mark off four equal lengths between 0 and 1, each representing 1/4.

Find 3/4 on the number line. It is three of these fourths.

Divide each fourth into two equal lengths to decompose 3/4 into 6 equal parts.

Mark these new lengths on the number line, showing that each length is 1/8.

y=f(x)=(1/3)^x find f(x) when x=2 express as a decimal rounding to the nearest thousandth

Answers

at x = 2
f(x) = (1/3)^2
= 1^2/3^2
= 1/9
= 0.111

Write a decimal that is equivalent to three and ten hundredths.

Answers

Answer:

The number in decimal expression is:

3.1

Step-by-step explanation:

We have to write the given number in a decimal expression.

The information about the number is given as:

three and ten hundredths.

Hence, in decimals the number is written as:

3.1

( since , three is to be written before the decimal point

as 3 is 3.0

and the number 10 is to be written after the decimal .

since, 10/100=0.1)

Hence, the number in decimal expression is:

3.1

The decimal equivalent to three and ten hundredths is 3.1

How to write decimal number

three and ten hundredths.

3 is in the unit place

1 hundredth = 1/100 = 0.01

10 hundredth = 10/100 = 0.1

Therefore,

three and ten hundredths

= 3 + 0.1

= 3.1

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A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of 2pi/3

Answers

You can solve this problem and calculate the arc lenght, by applying the following formula:

 s=θr

 s: it is the arc lenght.
 θ: it is the central angle (θ=2π/3).
 r: it is the radius of the circle (r=10 inches).

 When you substitute these values into the formula, you obtain the arc lenght (s):

 s=θr
 s=(2π/3)(10)

 Then, you have that the value of the arc lenght is:

 s=20.94 inches

Answer:

C) 20.94 inches

Step-by-step explanation:

It right on edge

Find the area of the blue shaded region.

Use 3.14 for pi.

Area = ____ ft2

Answers

So you don't have to use pi for this problem you can do L*W
So you can do 20*36
Shaded region = area of rectangle - area of semicircle

= l x b - πr²/2

= 20 x 36 - 3.14 x 18/2 x 18/2 x 1/2

= 720 - 127.17
 
= 592.83 ft²

Hope this helps !!

Factor the expression. r2 – 49

Answers

   r² - 49
= r² - 7² 
= (r-7)(r+7)

Answer:

(r-7)(r+7)

hope this helps! :)

how do you graph y = 2x + 5

Answers

So the form of an equation is y=mx+b where m is the slope and b is the y-intercept. So in this case, m=2 and b=5. So you would start by graphing the point (0,5) on the graph. Then go up two over one and plot that point, and continue on until you have a line.
Hello!

The equation has a slope of 2 with a y intercept of 5
I included a picture of my graph to give you a visual.

Happy studying.
~Brooke❤️

Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.

Answers

What you should do in this case is to use the following trinonometric relationship:
 cosx = C.A / h
 Where
 C.O: Adjacent leg.
 h: hypotenuse.
 Substituting:
 cos (22) = (x) / (11)
 Clearing x:
 x = 11 * cos (22)
 x = 10.2
 Answer:
 The value of x is
 x = 10.2

Subtract 1.05 from a certain number. Multiply the difference by 0.8, add 2.84 to the product then divide the sum by 0.01 and get 700. What is the number?

Answers

The answer to your question would be 6.25 and the equation you need to solve is: (0.8x+2)/0.01=700. 

                         Hope this helps!

match each expression to its equivalent standard form

Answers

move the first one to the bottom,then the second to the top ans you will know where to put the rest

Answer:

1. x² + 2x + 2

2. x² + 4

3. x² - 4x + 8

Step-by-step explanation:

(1) ( x+1+i ) ( x+1-i )

= ( x+1 )²- i²  [ Since ( a+b ) ( a-b ) = a² - b² ]

= x² + 1 + 2x - ( √-1 )²

= x² + 1 + 2x + 1

= x² + 2x + 2

(2) ( x+2i ) ( x - 2i )

= x² - (2i)² [ ( a+b ) ( a-b ) = a² b²

= x² - 4i²

= x² - 4 (-1) [Since i² = -1 ]

= x² + 4

(3) ( x - 2i - 2 ) (x + 2i - 2 )

= ( x-2 )² - ( 2i )² [ ( a+b ) ( a-b ) = a² - b² ]

= x² + 4 - 4x - 4 ( i )²

= x² + 4 - 4x - 4 ( -1 )²

= x² - 4x + 4 + 4

= x² - 4x + 8

HELPP PLEASE!!!

Victoria will borrow $6500 at 13% APR. She will pay it back over 15 months. What will her monthly payment be?

A. $489.67
B. $503.75
C. $517.83
D. $629.69

Victor will borrow $6800 at 13.5% APR. He will pay it back over 3 Year’s. What will his monthly payment be?

A. $156.47
B. $227.46
C. $230.79
D. $324.90

Answers

For the first question (Victoria), the answer is $503.75.

Part A: The monthly amount payable by Victoria is $503.75. Option B shows the monthly payment made by Victoria.

Part B: The monthly amount payable by Victor is $276.17.

What is interest?

Interest is defined as the amount of money paid for the use of someone else's money.

Part A:

Given that the amount P is $6500, interest rate R is 13% and time period T is 15 months. The yearly time period is given as,

[tex]T = \dfrac {15}{12}[/tex]

[tex]T = 1.25 \;\rm Years[/tex]

The interest is calculated as given below.

[tex]I = P\times\dfrac {R}{100}\times T[/tex]

[tex]I = 6500 \times \dfrac {13}{100} \times 1.25[/tex]

[tex]I =\$ 1056.25[/tex]

The total amount after 15 months is given as,

A = P + I

A = $6500 + $1056.25

A = $7556.25

This is the amount of 15 months. The amount of one month is calculated as given below.

Monthly Amount = [tex]\dfrac {\$7556.25}{15}[/tex]

Monthly Amount = $503.75

Hence we can conclude that the monthly amount payable by Victoria is $503.75. Option B shows the monthly payment made by Victoria.

Part B:

Given that the amount P is $6800, interest rate R is 13.5% and time period T is 3 years.

The total amount after 3 years is given as,

[tex]A = P (1 + \dfrac {R}{100})^T[/tex]

[tex]A = 6800 (1 + \dfrac {13.5}{100})^3[/tex]

[tex]A = 6800 \times 1.4621[/tex]

[tex]A = \$ 9942.28[/tex]

This is the amount of 3 years or for 36 months. The amount of one month is calculated as given below.

Monthly Amount = [tex]\dfrac {\$9942.28}{36}[/tex]

Monthly Amount = $276.17

Hence we can conclude that the monthly amount payable by Victor is $276.17.

To know more about the interest, follow the link given below.

https://brainly.com/question/4605117.

Cleo wants to join a gym. There is an initiation fee of $24.99 and each month of membership costs $12.50. If Cleo pays $174.99, how long will his membership last?

Answers

The membership will last for about 1 year.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Let's start by subtracting the initiation fee from the total amount Cleo paid:

$174.99 - $24.99 = $150

This represents the total amount Cleo will pay for the monthly membership fees.

To find out the number of months of membership this represents, we divide by the monthly fee:

$150 ÷ $12.50 = 12

Therefore, Cleo's membership will last for 12 months.

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Trip has 15 coins worth 95 cents. four of the coin are each worth twice as much as the rest. construct a math argument to justify the conjecture that trip has 11 nickels and 4 dimes

Answers

11 x 5 + 4 x 10 = 95
easy peasy
:)

Required math argument to justify the conjecture that trip,

11 x 5 + 4 x 10 = 95

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Trip has 15 coins worth 95 cents. four of the coin are each worth twice as much as the rest.

So, we get,

Required math argument to justify the conjecture that trip,

11 x 5 + 4 x 10 = 95

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Jorden drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total driving time takes half an hour, how far does she live from the store?

Answers

Answer:

Rate column: 30, 20.

Distance column: x miles for both.

Step-by-step explanation:

Jorden drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total driving time takes half an hour, how far does she live from the store?

Fill out the Rate column in the table below.

a = 30

b = 20

Fill out the Distance column.

c = x miles

d = x miles

basically: 30, 20 for first question. x miles for both second

PLEASE HELP WITH THIS QUESTION!!??

Jasmine buys a turkey every year. The first time she bought a turkey, in Year 0, it cost $15.50. She notices the price is getting more expensive, at a rate of 2% per year.

Jasmine sketches a graph of the situation.

Which statement is true?


A. The graph decreases from left to right.

B. The point (5, 16.78) is on the graph.

C. The point (1, 16.13) is on the graph.

D. The graph increases from left to right.

Answers

I think the answer is D if the turkey goes up in price by 2% every year. So the graph increases from left to right. I cant see the graph though..

A deck of cards has 52 cards. If p is the number of players and each player receives 3 cards, which expression represents the number of cards remaining in the deck?

A 3/52
B 52/3
C 52-3p
D (52-3)p

Answers

The total number of cards (52) minus the number of players (p) times the number of cards each has (3) will give the number of cards left in the deck.

Answer: C) 52 - 3p

Hope this helps! :)

The expression represents the number of cards remaining in the deck will be 52 - 3p. Then the correct option is C.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A deck of cards has 52 cards. If p is the number of players and each player receives 3 cards. Then the expression is given as,

⇒ 52 - 3p

The expression represents the number of cards remaining in the deck will be 52 - 3p. Then the correct option is C.

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tony began putting together a rectangular puzzle.he completed the top edge and left edge of the puzzle, each piece is a square that has a side length of 2 1/2 centimeters

Answers

Area = l × w = b
l = 2.5
w = 2.5
2.5 × 2.5 = 6.25
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