Find the dot product of the given vectors.

u= -4i + 8j
v= -2i+j

Answers

Answer 1

Answer:

16

Step-by-step explanation:

Given

u = x₁i + y₁j and v = x₂i + y₂j , then

u • v = x₁x₂ + y₁y₂

Given

u = - 4i + 8j and v = - 2i + j , then

u • v = ( - 4 × - 2) + (8 × 1) = 8 + 8 = 16


Related Questions

Please answer this question, worth ten points

Answers

Answer: 39.9

Step-by-step explanation: 9.5×4.2

Answer:

The answer is 39.9

Step-by-step explanation:

The formula for a parallelogram is base multiplied by height so 9.5 × 4.2 is equal to 39.9 :) hope this helps

Ben gets 5 more presents than his naughty little sister Gwen this holiday season. If together they receive 21 presents, how many
presents does each kid receive?

Answers

9514 1404 393

Answer:

Ben: 13Gwen: 8

Step-by-step explanation:

The given relations give rise to two equations:

  b = g + 5

  b + g = 21

Using the first to substitute for b in the second, we have ...

  (g +5) +g = 21

  2g = 16 . . . . . . . subtract 5

  g = 8 . . . . . . . . . divide by 2

  b = 8 +5 = 13

Ben got 13 presents; Gwen got 8.

nyatakan faktor faktor perdana bagi 40​

Answers

Answer:

wot is this monstrosity

Shsiskdkxoxnsnsskossosoos

can someone help me on this one ​

Answers

It would be best if you actually plotted this on a graph to help you better understand it however the answer would be (-3, 6)

George is buying peaches and kiwis. He buys p peaches at $4.29 each and k kiwis at $2 each. What expression would you write to show the total cost of the peaches and kiwis?

Answers

Answer:

Step-by-step explanation:

the total cost, c  will be

     c= p(4.29)+k(2)

Consider this equation: 9x - 7 - 3x + 9 = x + 7 + 5x + 9. How many solutions does this equation have?

Answers

Step-by-step explanation:

9x - 7 - 3x + 9 = x + 7 + 5x + 9

6x + 2 = 6x + 16

2 = 16

Since 2 = 16 is false, there exist no real solutions for x.

Final Answer: No Solution. The equation would have 0 solutions.

Steps/Explanations:

Hey there! The answer is No Solution because -7 = 7. If 7 = 7, then it would be true and have one solution, which is not the case here.

Step 1: You should cancel [tex]9[/tex] on both sides.

[tex]9x - 7 - 3x = x + 7 + 5x[/tex]

Step 2: Simplify [tex]9x - 7 - 3x[/tex] to [tex]6x - 7[/tex].

[tex]6x - 7 = x + 7 + 5x[/tex]

Step 3: Simplify [tex]x + 7 + 5x[/tex] to [tex]6x + 7[/tex].

[tex]6x - 7 = 6x + 7[/tex]

Step 4: You'll need to cancel [tex]6x[/tex] on both sides.

[tex]- 7 = 7[/tex]

Step 5: Since [tex]-7 = 7[/tex] is false, there would be no solution.

No Solution

~I hope I helped you :)~

if the length of two sides of a triangle are 7 and 10 the length of the third side may be

A. 1
B.3
C.2
D.4
explain

Answers

Answer:

D. 4

Step-by-step explanation:

Let's look at all the options first. All of the options are below 7 and 10, hence we can deduce that it is not the hypotenuse. Looking at 7 and 10, we see that 10 is the larger number, and hence we know that 10 is the hypotenuse.

Hence, as the other two sides added up in a triangle must be larger than the hypotenuse, the only available option is 4, since 4 + 7 = 11 > 10.

Hope this helped!

what are the common multiple of 4 and 6 between 1 and 42​

Answers

Answer: 300

Step-by-step explanation:

Help plz I really need it

Answers

Answer:

translation then reflection

Step-by-step explanation:

Please help me, I am bad at math so please help

A gum tree reached a height of 150 ft in 15 years. Cathy and Darla write different equations to find the yearly average growth g of the tree. Cathy writes 15g = 150. Darla writes 150/15 = g. Do these equations have the same solution? Explain.

Answers

Answer:

Yes, they have the same answer because because 150/15 = 10 and in the equation 15g = 150, you have to solve it by dividing 150 by 15 which gets 10. Therefor, they are the same.

Step-by-step explanation:

Answer: They have the same solution.

Step-by-step explanation: 15g=150 has an answer of 10 ft. (divide 150 by 15 to get g alone.) 150/15=g has an answer of 10 as well. (Simplify to find g.)

Trent saved up $500 for summer vacation. If he spends $25 a week for eight weeks, how much money does he have left? Explain? (Can somebody help plz- )

Answers

Answer:300

Step-by-step explanation:

25*8 =200

500-200=300

Answer:

$300

Step-by-step explanation:

25 a week for 8 weeks is a total of 25*8 or 200 so he spent $200

500 - 200 is 300 so he has $300 left

Use the graph to solve the system of linear equations.
x - y = 4
4x + y = 1

Answers

(1,3) is the answer

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The value of x and y is 1 and -3.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4y = 6 is an equation.

2x = 4 is an equation.

4x - 6x + 6x = 6 is an equation.

We have,

x - y = 4 _____(1)

4x + y = 1 _____(2)

From (1) we get,

x = 4 + y ____(3)

Putting (3) in (2) we get,

4x + y = 1

4 (4 + y) + y = 1

16 + 4y + y = 1

16 + 5y = 1

Subtract 16 on both sides.

5y = 1 - 16

5y = -15

Divide both sides by 5.

y = -3

Now,

Putting y = -3 in (3) we get,

x = 4 + y

x = 4 - 3

x = 1

Thus,

The value of x and y is 1 and -3.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

A truck driver has to make a delivery at a location that is 230.2 miles away. She drives an average of 55 miles each hour for 3.25 hours. If the truck driver continues at the same speed, will she make it to the location in the next hour?
and how many does she or he have to go

Answers

Answer:

The driver will make it to the location in the next hour

Step-by-step explanation:

First, find how many miles they traveled in 3.25 hours, by multiplying 55 by 3.25:

55(3.25)

= 178.75

Then, add 55 to this to see if the driver will make it in the next hour:

178.75 + 55

= 233.75

Since this is greater than 230.2, this means they will make it to the location.

So, the driver will make it to the location in the next hour.

Answer:

Yes

Step-by-step explanation:

Since the truck driver is going at an average speed of 55 miles per hour and has already driven for 3.25 hours that means she has already covered a distance of ...

55 * 3.25 = 178.75 miles

If she continues at the same speed and travels for one more hour that means that she would cover another 55 miles which would put her at a total distance of ...

178.75 + 55 = 233.75 miles

Therefore, the answer would be Yes she would arrive at her location. ;)

Solve: (3/4) divided by 6 (2/3)

Answers

Answer:

0.1875

Step-by-step explanation:

3/4/6(2/3)

3/4/12/3

3/4/4

0.75/4

=0.1875

The bank agrees to give you a loan of $7,000 with 1% simple interest over 2 years. How much will your monthly payments be? ​

Answers

Answer:

25550 is The Answer i think

what is the cost of the item that would make these discount equivalent?

Discount:

30% off $22.50 off​

Answers

Answer:

$15.75

Step-by-step explanation:

Turn the percentage into a decimal.

30% = 0.3

Multiply.

22.5 * 0.3 = 6.75

Subtract.

22.5 - 6.75 = 15.75

Best of Luck!

Answer is $15.75 Step by step: Turn 30% into .03 and time by $22.50

in 2010 an item cost $200. The price increase by 1.5% each year. How much wil it cost in 2030?
Round
your
answer to the nearest cent.

Answers

Step-by-step explanation:

Let P be price after t year . From the formula of compounding

P = 9 (1.015)^t

Taking log to the base e on both sides

ln P = ln 9 + t ln 1.015

= (2.197 + .0149t )

P = e^{(2.197+.0149t)}

I need help with this question plsss

Answers

Answer: maybe its 6

Step-by-step explanation:

i think its 6 because it has +3 so maybe adding 3+3

solve this equation 3.5z – 2.7z = –6

Answers

Answer:

z=-7.5

Step-by-step explanation:

Answer:

z = -7.5

Step-by-step explanation:

First you have to simplify the equation:

0.8z = -6

Then you have to isolate the z, and to do so you have to divide both sides by 0.8.

0.8/0.8z = -6/0.8

The answer then comes out to be z = -7.5

The population of bears in a national forest is changing according to the function N(t)=850(1.04)t , where t is the time in years, and N(t) is the number of bears. Which statement explains how the bear population is changing?

Answers

Answer:

The statement is that the population increases at a rate of 4% per year

Step-by-step explanation:

The function is given as;

N(t) = 850(1.04)^t

The general equation form for a representation as this is;

P = I(1 + r)^t

Where I is the initial value and P is the present value

r is the rate of increase

t is the time

Thus, we have that;

1 + r = 1.04

r = 1.04-1

r = 0.04

0.04 is same as 4/100 which is same as 4%

So the statement about how the population of bear is changing is that the population increases at a rate of 4% each year

Mario is tracking the progress of his plant's growth. After 4 days the plant was 5 cm high. 13 days later the plant was 18.5 cm tall.

What is the rate of growth of the plant?
How tall was the plant when Mario planted it?
How tall will the plant be after 20 days?

Answers

Answer:

sjdhdjdbdkendbdidjdnd

For the diagram below let m∠1 = (7x + 5)°, m∠2 = (9x − 8)°, and m∠3 = (11x − 15)°. A triangle with exterior angles 1, 2, 3. Complete the work shown to find the m∠3. Set the sum of the exterior angles to 360° and solve for x. 7x + 5 + 9x − 8 + 11x − 15 = 360 27x − 18 = 360 27x = 378 x = 14 Substitute the value of x into the expression that represents mAngle3. mAngle3 = 11(14) – 15 mAngle3 = °

Answers

Answer:

139

Step-by-step explanation:

Answer:

I put 139 and got it right!

Step-by-step explanation:

hope this helps :)

Which statement is true about the equation (see picture)
A. It has no solution.
B. It has one solution.
C. It has two solutions.
D. It has infinitely many solutions.

Answers

Simplify
2/4z + 1 = 2/4z + 1
Answer: D. Infinite solutions

Answer:

D would be your answer

Step-by-step explanation:

Simplify :)

5 more than the product of 23 and a number n

Answers

Answer:

23n +5

Step-by-step explanation:

break down the expression into parts

5 more is +5

product is multiplication of 23 and n so 23n

then put it together

please give thanks :)

23n+5 is gonna be your answer easy

Use the diagram of a prism to answer the question. 4 cm, 2 cm, 3 cm. What is the total surface area of the prism?

Answers

Answer:

52cm3

Step-by-step explanation:

Use the pencil,plot the point (3 1/2, 2 3/4)

Answers

Answer:

The diagram of the plotting point [tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)[/tex] is attached below.

Step-by-step explanation:

Given the points

[tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)[/tex]

as

[tex]3\frac{1}{2}=\frac{7}{2}=3.5[/tex]

[tex]2\frac{3}{4}=\frac{11}{4}=2.75[/tex]

so the point can be visualized as:

[tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)[/tex]

Now, we can check the point x = 3.5, and determine the corresponding value y = 2.75 and plot the point at the location (x, y) = (3.5, 2.75)

The diagram of the plotting point [tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)[/tex] is attached below.

Guys I am going to run out of points. Help with 19?
I don't need an explanation.

Answers

Answer:

A.) 20x + 2y = 500

B.) y-intercept = 250; its meaning is how many boxes of pencils they started with.

C.) x-intercept = 25; How many T-shirts they can sell at most

Step-by-step explanation:

2y - 500 = -20x

20x + 2y - 500 = 0

20x + 2y = 500

y-intercept = 250; its meaning is how many boxes of pencils they started with.

20x + 2y = 500

20(0) + 2y = 500

2y = 500

2y/2 = 500/2

y = 250

x-intercept = 25; How many T-shirts they can sell at most

20x + 2y = 500

20x + 2(0) = 500

20x = 500

20x/20 = 500/20

x = 25

what is the value of -2 1/6 - 1 1/4 + 1 3/4

Answers

Answer:

Step-by-step explanation:

-2 1/6-1 1/4 +1 3/4

[tex]=-\frac{13}{6} -\frac{5}{4} +\frac{7}{4} \\(L.C.M. ~of ~6,4,4=12)\\=\frac{-26-15+21}{12} \\=-\frac{20}{12}\\=-\frac{5}{3} \\=-1 \frac{2}{3}[/tex]

Find the slope between the
following points:
(-3,3), and (5, 10)

Answers

Answer:

7/8

Step-by-step explanation:

I got it right

Answer:

7/8

Step-by-step explanation:

cuz

pls help needed asap

Answers

Ok it’s 135 yw if it’s wrong sorry
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