Given that v = (5,-4, 4) and w = (9-2,7) , evaluate v • w.

Given That V = (5,-4, 4) And W = (9-2,7) , Evaluate V W.

Answers

Answer 1

Answer:

a

Step-by-step explanation:

Given

u = (x₁, y₁, z₁ ) and v = (x₂, y₂, z₂ ) then the dot product is

u • v = (x₁ x₂ ) + (y₁ y₂ ) + (z₁ z₂ )

Then

v • w

= (5 × 9) + (- 4 × - 2) + (4 × 7)

= 45 + 8 + 28

= 81 → a


Related Questions

PLSSSSS HELP!!!!!!!!!

Answers

Answer:

x=30º

∠CAB=60°

∠ACB=80°

Step-by-step explanation:

Because the angles of every triangle add up to 180º, we know that:

[tex]2x+20+2x=180-40\\ 4x=180-40-20\\ 4x=180-60\\ 4x=120\\ x=\frac{120}{4}[/tex]

x=30º

Plug that in for x on both angles, and you will get

∠CAB=60°

∠ACB=80°

please show all work

Answers

Answer:

[tex]x=21.6[/tex]

Step-by-step explanation:

Use the Pythagorean theorem to solve this problem. The Pythagorean theorem states the following,

[tex]a^2 + b^c = c^2[/tex]

Where (a) and (b) are the legs or the sides adjacent to the right angle, and (c) is the hypotenuse or the side opposite the right angle.

Use the Pythagorean theorem in the right triangle with legs (15) and (18),

[tex](15)^2+(18)^2=c^2\\\\225 + 324=c^2\\\\549=c^2\\\\\sqrt{549}=c[/tex]

Use the Pythagorean theorem again in the right triangle with the legs (18) and (x)

[tex](x)^2+(18)^2=c^2\\\\\sqrt{x^2+324}=c[/tex]

Use the Pythagorean theorem one final time in the larger triangle,

[tex](\sqrt{x^2+324})^2+(\sqrt{549})^2=(x+15)^2\\[/tex]

Simplify, remember that anything to the power (2) is equal to the base (number under the exponent) times itself,

[tex]x^2+324+549=x^2+30x+225[/tex]

[tex]x^2+873=x^2+30x+225[/tex]

Inverse operations,

[tex]x^2+873=x^2+30x+225\\-x^2\\\\873=30x+225\\-225\\\\648=30x\\/30\\\\\frac{648}{30}=x\\\\21.6=x[/tex]

Pls help me on this what is the correct answer

Answers

Answer:

C 61,705

Step-by-step explanation:

10.9% of 35,000 = 3,815

3,815 x 7 = 26,705  (interest is added per year and 3,815 is the interest amount)

35,000 + 26,705 = 61,705 ( the original loan plus the interest for 7 years)

please help me !!!!!!!!!!!!

Answers

Answer:

The answer is D

Step-by-step explanation:

A 180 rotation on 1,1 which is the center will rotate it onto itself.

the answer is d!!!!

Please helppp thanksss

Answers

Y-intercept
(0,-2)
x-intercept
(5,0)

ihioiggihhiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiik

Answers

Eeeeeeeeeeeeeeeeeeeeeeeeeeee

In a population of adults the proportions of people in various marital status are: Single:35%, Married: 60%, Divorced: 5%. A person is selected at random. If that person is not divorced find the probability that he or she is single.

Answers

Answer:

7/20 0r 0.35

Step-by-step explanation:

Probability of been single = percentage of single adult / sum of percentages

sum of percentages = 35 + 60 + 5 = 100

35/100 = 7/20 or 0.35

What is the slope of the linear equation: y=-5x+6

Answer Choices:
A. -5
B. -5x
C. 1/5
D. 6

Answers

it is -5.............

Which number makes the number sentence true?
0.64 < ____
A. 0.6
B. 0.7
C. 0.63
D. 0.07

Answers

Answer:

The correct answer is letter B, 0.7

Step-by-step explanation:

Hope this help

Pls help I have this homework !! bye I will mark you the best or brainliest!!

Answers

Answer:

90-54w

Step-by-step explanation:

18(5−3w)=  

18*5=90 , 18*3w= 54w =  

so simplified it would be = (90-54w)

Please mark me as brainliest :D

Caleb invested $6,200 in an account paying an interest rate of 7 1/2% compounded
quarterly. Sophie invested $6,200 in an account paying an interest rate of 7 7/8%
compounded monthly. To the nearest dollar, how much money would Sophie have in
her account when Caleb's money has doubled in value?

Answers

Oh this is a hard one I will get back to you whenever I get it

There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores? 79% 82% 87% 92%

Answers

The median of the math scores is = 79%.

You can understand more about calculation of median of a set of numbers below.

Estimation of median scores

The total number of sophomores is = 8

The percentage score of each sophomore = 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%.

To calculate the median of the percentage scores, arrange the scores in ascending order and pick the figure in the middle as the median math score.

72, 74, 76, 78, 80, 82, 92, 92

Here the median is two figures 78, and 80 which are located in the middle. The median is =>78 +80/2

= 158/2 = 79%

Therefore, the median of the math scores is = 79%

Learn more about median calculation here:

https://brainly.com/question/14532771

-----------------------

A. 79%

edge 2022 :)

------------------------

HELP ASAP!!!
Two random samples were taken to determine how often people in a community listen to the local radio station each month.

The first sample surveyed 15 people as they exited the bank on Main Street. The first sample found that the mean number of hours they listened to the radio each month was 20.

The second sample surveyed every sixth person as they exited the only local grocery store until 100 people were surveyed. The second sample found that the mean number of hours they listened to the radio each month was 12.

Which statements are true? Check all that apply.
The second sample is random.
The second sample is likely to be more representative of the population.
The first sample is likely to be more representative of the population.
The second sample will give a better representation because is it larger.
The first sample will give a better representation because it is smaller.
Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.

Answers

Answer:

The answers to this question are 1,2,4,6. Hope this helps you

Step-by-step explanation:

i need help with this​

Answers

Answer:

A) 9 inches per minute

Step-by-step explanation:

36 inches in 4 minutes

36/4 = 9 inches per minute

9y - 2x = 0 in slope intercept form.

Answers

Answer:

y=2/9x

Step-by-step explanation:

I hope this helps

Step-by-step explanation:

9y-2x=0

9y=2x

y=(2/9)x

please answer no links

Answers

Answer:

56.54in^2

Step-by-step explanation:

Answer:

18π in^2 (roughly 56.5 in^2)

Step-by-step explanation:

The area of a semicircle is half the area of a circle. So the area would be 1/2πr² instead of πr².

Since the diameter is 12 inches, the radius would be half of that, making the radius r=12/2=6 inches.

Plugging in r=6 into our formula, we see that the area of the semicircle is 1/2π(6)²=1/2π(36)=18π inches^2

So your final area is 18π in^2 (roughly 56.5 in^2)

I'll give you brainiest if you help me.

Answers

Answer:

88 degrees.

Step-by-step explanation:

Since AB is equal to BC, ABC is an isosceles triangle. Therefore, the angle of B will be 180-39-39=102 degrees. As the angle of a straight line is 180 degrees, take 180-102-32=46 degrees. This 46 degrees is angle B. Since DEB is an isosceles triangle, 180-46-46=88 degrees. 88 degrees is angle E which is your answer. Edit: (Just added on the explanation.)

I NEED ASAP DUE TODAY!!!! WILL GIVE THE BRAINLEST
solution to
y=0.50x+1
and
y=0.25+5

Explain step by step plz

Answers

it is 3.75

step by step: 0.50x+1=0.25x+5
subtract 0.25-0.50 and 5-1 then add -0.25+4 and that equals 3.75

determine the missing length in your right triangle using the Pythagorean theorem. round your answer to the nearest 10th if necessary

Answers

Answer:

21.4

Step-by-step explanation:

13^2 + 17^2 = c^2

169 + 289 = c^2

458 = c^2

The square root of 458 is 21.4.

Whats the slope using rise/run?
thank you

Answers

Answer:

answer is 7

Step-by-step explanation:

one point is at (1,3) and the other at (0,-4)

to get slope y2-y1 / x2-x1

so -4-3 / 0-1

-7/-1

so answer is 7

Plsss help I’m super stuck on this

Answers

Answer:

its  b

Step-by-step explanation:

took the quiz

Answer:

I would go with D

Step-by-step explanation:

You can look at the graph and answer it

The path of a projectile launched from a 26-ft-tall tower is modeled by the equation y = −16t2 + 64t + 26. What is the maximum height, in feet, reached by the projectile?

Answers

Answer:

The maximum height of the projectile is 90 ft

Step-by-step explanation:

Here, we want to get the maximum height reached by the projectile

The answer here will be the y-coordinate value of the vertex form of the given equation

so firstly, we have to write the equation in the vertex form

We have this as;

y = -16t^2 + 64t + 26

That will be;

y = a(x-h)^2 + k

y = -16(x-2)^2 + 90

where the vertex of the equation is;

(-h,k)

K

in this case is 90 and thus, that is the maximum height of the projectile

SOMEONE PLS HELP ME FIND THE AREA OF THIS COMPOSITE FIGURE. ILL GIVE BRAINLIEST!

Answers

For this composite question you will need to divide the shape into two different shapes. The large rectangle is going to be 60 in square because of base times height and then you would need to find the square which would be 4 times 4 cause of base times height but because it’s a triable you divide by 3 so 16/2 would be 8 than you would add both shapes and get 68 in squared. Hope that helps!

4 = 4 ( x + 10 ) solve for x

Answers

Answer:

x = -9

Step-by-step explanation:

mark helpfull give 5str and award brainliest

Answer:

x = -9

Step-by-step explanation:

4 = 4(x + 10)

=> 4/4 = x + 10

=> 1 = x + 10

=> x + 10 = 1

=> x = 1 - 10

=> x = -9

The Diaz family bought 7 bags of cookies. Each bag had 14 cookies. They have since eaten 29 of the cookies. How many cookies do they have left?

Answers

Answer:

They have 69 cookies left.

Step-by-step explanation:

7 x 14 = 98

98 - 29 = 69

find the 12th term of the geometric sequence 5,20,80

Answers

20,971,520 is the answer I believe so

Answer:

20971520

Step-by-step explanation:

Thank me later

what's the area of the circle

Answers

Answer:

3.14

Step-by-step explanation:

Plss I need this rnnn

Answers

Answer:

25

Step-by-step explanation:

25 is the answer because the sum of angles add up to 90

En una carrera participaron 7000 personas entre hombres y mujeres y 5000 personas entre mujeres y niños. Si han corrido 3000 mujeres ¿cuantas mujeres participaron en total?

Answers

Answer:

9000 personas en total participaron de la carrera.

Step-by-step explanation:

En este caso, planteo las siguientes variables:

x: cantidad de hombres que participaron de la carrera.y: cantidad de niños que participaron de la carrera.

En una carrera participaron 7000 personas entre hombres y mujeres. Si han corrido 3000 mujeres, entonces se puede interpretar mediante la siguiente expresión:

3000 + x= 7000

Entonces, resolviendo se obtiene que participaron la siguiente cantidad de hombres:

x= 7000 - 3000

x= 4000

En la carrera también participaron 5000 personas entre mujeres y niños. Entonces se puede interpretar mediante la siguiente expresión:

3000 + y= 5000

Resolviendo se obtiene que participaron la siguiente cantidad de niños:

y= 5000 - 3000

y= 2000

Para calcular la cantidad de personas en total que participaron de la carrera, debes sumar la cantidad de hombres, mujeres y niños. Esto es:

4000 hombres + 3000 mujeres + 2000 niños= 9000 participantes

9000 personas en total participaron de la carrera.

A small tree was planted at a height of 5 feet. The tree has been planted for 16 months, and is now 61 feet tall. Which equation could
be used to find x, the average number of feet the tree grew each month?
A. 5x + 16 = 61

B.16x + 5 = 61
C. 61x + 5 = 16
D. 16x + 61 = 5

Answers

Answer:

B

Step-by-step explanation:

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