Given u = LeftAngleBracket StartRoot 3 EndRoot, negative 1 RightAngleBracket and v = ⟨3, –4⟩, what is u · v?

Answer:

$ 1267.

Step-by-step explanation:

Given :

David's monthly income after tax = $ 1430.15

His health insurance cost him in a month = $ 63

Percent deducted from his income after tax for his retirement option is = 7%

Therefore money left after retirement option deduction is :

$ 1430.15 - 7% of $ 1430.15

= 1430.15 - 100.11

= $ 1330.04

= $ 1330 (aprrox)

Money deducted from this amount for his health insurance plan

= $ 1330 - $ 63

= $ 1267

Therefore, David's monthly take home pay is $ 1267.

Answer:

C = [tex]\frac{2.8}{7} + 0.75[/tex]

$1.15

Step-by-step explanation:

Here is the complete question :

Cookies are on sale! Today each cookie costs $0.75 less than normal price. Right now if you buy 7 of them it will only cost you $2.80!

write an equation to determine the normal price of each cookie (C). Find he normal price of each cookie.

the discounted price of one cookie = total sales price of 7 cookies / 7

$2.8 / 7 = $0.4

it was stated in the question that the sales price is  $0.75 less than normal price. Thus the normal price of the cookie = $0.4 + $0.75 = $1.15

the equation : [tex]\frac{2.8}{7} + 0.75[/tex]

Answer:

8th term- 6,561

Step-by-step explanation:

Each term in the sequence is being multiplied by 3. For example, 3x3=9 and 9x3=27. Now, we need to continue multiplying numbers, so we can list them all here, still starting with 3.

1&2) 3x3=9

3) 9x3=27

4) 27x3=81

5) 81x3=243

6) 243x3=729

7) 729x3=2,187

8) 2,187x3=6,561

The 8th term of the geometric sequence is 6,561.

Hope this helps and have a great day! ^^

Answer:

56

Step-by-step explanation:

area of whole figure=

l×b

=20×10

=200

also,area of small fig.

=l×b

=18×8

=144

thus area of shaded part =a of whole- a of small

=200-144

=56

Answer:

17

Step-by-step explanation:

12 1/2-(-4 1/2)

12 1/2+ 4 1/2

17

Answer:

C

Step-by-step explanation:

Two like therms have the same literal part, in case we have two terms:

6y^3z and 8y^3z

Answer:

Multiyply all 3 numbers to get your answer.

Step-by-step explanation:

4.5*2*2

Answer: 1st one is 18

second one is 44

Step-by-step explanation:

2*2*4.5=18

A=2(wl+hl+hw)=2·(2·4.5+2·4.5+2·2)=44

Answer:

60 meters and 176 meters, together it is 236 meters

Step-by-step explanation:

Answer:

A. The value of n can be any positive integer resulting in the same factor

Step-by-step explanation:

Given

[tex]x^2 + 2xn + n^2[/tex] --- the right expression

[tex]n > 0[/tex]

Required

Possible values of n

[tex]x^2 + 2xn + n^2[/tex]

Expand

[tex]x^2 + 2xn + n^2 = x^2 + xn+xn + n^2[/tex]

Factorize

[tex]x^2 + 2xn + n^2 = x(x + n)+n(x + n)[/tex]

Factor out [tex]x + n[/tex]

[tex]x^2 + 2xn + n^2 = (x + n)(x + n)[/tex]

From the expression above, we can see that the result has the same factor. This means that options (b), (d) and (e) are not possible

[tex]x^2 + 2xn + n^2 = (x + n)^2[/tex]

The above also shows that n can take any positive value.

Hence: (a) is correct

Answer:

250 $3 tickets and 100 $2 tickets were sold

Answer:

x+50°=180°{alternate enterior angle}

x=180-50

x=130°

hope it helps ....

Answer:

area is 60.75 m^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve this system using elimination by addition and subtraction:

Multiplying the second equation by -2 yields the modified system

8x - 2y = -4

-8x + 2y = +4

Adding these together, we get 0 + 0 = 0  (This is always true.)

There are an infinite number of solutions.

Answer:

250

Step-by-step explanation:

32(7) + 26 = 224 + 26

Answer:

180 degrees

Step-by-step explanation:

because NJK adds up to 180 degrees and a circle is 360 degrees. Hope this helped :)

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

(x-2)^2

(x-2) (x-2)

x(x-2) -2(x-2)

x^2- 2x -2(x-2)

x^2-4x+4

Answer:

a) [tex]\sin 38.582^{\circ} \approx 0.624[/tex], b) [tex]\cot 45.567^{\circ}\approx 0.980[/tex], c) [tex]\sec 39^{\circ} = 1.287[/tex], d) [tex]\tan 12^{\circ} \approx 0.213[/tex], e) [tex]\csc 16.4^{\circ} \approx 3.542[/tex], f) [tex]\sin 34.5^{\circ}\approx 0.566[/tex]

Step-by-step explanation:

Sabemos que un minuto equivale a [tex]\frac{1}{60}[/tex] de un grado sexagesimal, mientras que un segundo equivale a [tex]\frac{1}{3600}[/tex] de un grado sexagesimal, entonces procedemos a convertir cada ángulo a su forma decimal y simplificamos en términos de senos y cosenos mediante identidades trigonométricas:

a) [tex]\sin 38^{\circ}34'56'' = \sin 38.582^{\circ}[/tex]

Por tablas trigonométricas tenemos que [tex]\sin 38^{\circ} \approx 0.616[/tex] y [tex]\sin 39^{\circ} \approx 0.629[/tex], mediante interpolación lineal tenemos que:

[tex]\sin 38.582^{\circ} \approx 0.624[/tex]

b) [tex]\cot 45^{\circ} 34' = \cot 45.567^{\circ}[/tex]

[tex]\cot 45.567^{\circ} = \frac{\cos 45.567^{\circ}}{\sin 45.567^{\circ}}[/tex]

Por tablas trigonométricas tenemos que [tex]\sin 45^{\circ} \approx 0.707[/tex], [tex]\sin 46^{\circ}\approx 0.719[/tex], [tex]\cos 45^{\circ}\approx 0.707[/tex] y [tex]\cos 46^{\circ}\approx 0.695[/tex], mediante interpolación lineal tenemos que:

[tex]\cot 45.567^{\circ}\approx 0.980[/tex]

c) [tex]\sec 39^{\circ} = \frac{1}{\cos 39^{\circ}}[/tex]

Por tablas trigonométricas tenemos que [tex]\cos 39^{\circ}\approx 0.777[/tex], entonces tenemos que:

[tex]\sec 39^{\circ} = 1.287[/tex]

d) [tex]\tan 12^{\circ} = \frac{\sin 12^{\circ}}{\cos 12^{\circ}}[/tex]

Por tablas trigonométricas tenemos que [tex]\sin 12^{\circ} \approx 0.208[/tex] and [tex]\cos 12^{\circ} \approx 0.978[/tex], entonces tenemos que:

[tex]\tan 12^{\circ} \approx 0.213[/tex]

e) [tex]\csc 16^{\circ}24' = \csc 16.4^{\circ}[/tex]

[tex]\csc 16.4^{\circ} = \frac{1}{\sin 16.4^{\circ}}[/tex]

Por tablas trigonométricas tenemos que [tex]\sin 16^{\circ} \approx 0.276[/tex] y [tex]\sin 17^{\circ}\approx 0.292[/tex], mediante interpolación lineal tenemos que:

[tex]\csc 16.4^{\circ} \approx 3.542[/tex]

f) [tex]\sin 34.5^{\circ}[/tex]

Por tablas trigonométricas tenemos que [tex]\sin 34^{\circ} \approx 0.559[/tex] y [tex]\sin 35^{\circ} \approx 0.574[/tex], mediante interpolación lineal tenemos que:

[tex]\sin 34.5^{\circ}\approx 0.566[/tex]

Answer:

so how many units are they away from each other

Step-by-step explanation:1,

1.1-2.0  how many units are they away from each other

u could drag the number from the top to the chart below

good luck!

Answer:

3/8

Step-by-step explanation:

If 1 and 3 are odd numbers then all you have to do is count the number of 1 and 3's(3). then count the number of numbers (8).

Answer:

74

Step-by-step explanation:

Straight lines add up to 180 degrees

180 - 106 is 74

Answer:

Step-by-step explanation: I don’t know I’m sorry

Answer:

is the photo

Because I had that question

Answer:

A. X=4

B. X=5

C. N=3

Step-by-step explanation: Hope this help :D

Answer:

There mistake was on step three because 5 x 5 is 25 and the answer he got was 80.

Step-by-step explanation:

Answer:

y = 2/5x

Step-by-step explanation:

slope = 2-0/5-0 = 2/5

y - 2 = 2/5(x - 5)

y = 2/5x

Answer and Step-by-step explanation:

When we take a look at the graph, we can see that at around 1 gallon, which would be halfway between 0 and 2, the line is underneath $5.

That means we can eliminate any number that is or above $5.

That leaves us with answer choices A and C.

Let's go to a point that is easily readable. Point (4, 15) is readable, and we can use this to find the price per gallon.

Divide 15 by 4. We get 3.75 as the result.

This means that the answer choice is:

C. The cost of gas is $3.75 per gallon.

#teamtrees #PAW (Plant And Water)

Complete question :

Cyber Monday Shopping A survey of 1000 U.S. adults found that 33% of people said that they would get no work done on Cyber Monday since they would spend all day shopping online. Find the 95% confidence interval of the true proportion.

Answer:

(0.301 ; 0.359)

Step-by-step explanation:

Sample size, n = 1000

Phat = 0.33

(1 - phat) = 1 - 0.33 = 0.67

Zcritical at 95% = 1.96

Confidence interval :

Phat ± margin of error

Margin of Error = Zcritical * sqrt[(phat(1 - phat)) /n]

Margin of Error = 1.96 * sqrt[(0.33 * 0.67) / 1000]

Margin of Error = 1.96 * 0.0148694

Margin of Error = 0.0291440

Lower boundary = (0.33 - 0.0291440) = 0.300856

Upper boundary = (0.33 + 0.0291440) = 0.359144

(0.301 ; 0.359)