The price of n tickets to a concert is 8n + 9 dollars. What is the cost in dollars for 7 tickets to the concert

Given:

The given vector is:

[tex]v=9i-6j[/tex]

To find:

The unit vector in the direction of the given vector.

Solution:

If a vector is [tex]v=ai+bj[/tex], then the unit vector in the direction of the this vector is

[tex]\hat v=\dfrac{v}{|v|}[/tex]

Where, [tex]|v|=\sqrt{a^2+b^2[/tex]

We have,

[tex]v=9i-6j[/tex]

Here, [tex]a=9[/tex] and [tex]b=-6[/tex]. So,

[tex]|v|=\sqrt{9^2+(-6)^2}[/tex]

[tex]|v|=\sqrt{81+36}[/tex]

[tex]|v|=\sqrt{117}[/tex]

[tex]|v|=3\sqrt{13}[/tex]

Now, the unit vector in the direction of the given vector is:

[tex]\hat v=\dfrac{9i-6j}{3\sqrt{13}}[/tex]

[tex]\hat v=\dfrac{9i}{3\sqrt{13}}-\dfrac{6j}{3\sqrt{13}}[/tex]

[tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex]

Therefore, the required unit vector is [tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex].

Answer:

83.5km/h

Step-by-step explanation:

To find average you have to add up all the numbers in a given set then divide it by the amount of numbers in that set

Answer:

1.5

Step-by-step explanation:

Answer:

$241,910.31

Step-by-step explanation:

Compound interest

125,000(1.045)^15

Also, Gal Gadot is the best!

Answer:(x-0)^2 + (y-0)^2=30^2

Step-by-step explanation:

The equation of the circle is x^2 +y^2 = 7656.25

The given parameters are:

Center = (0,0)

Diameter = 175

The equation of a circle is represented as:

(x - a)^2 +(y - b)^2 = r^2

Where

Center = (a,b) = (0,0)

r = radius = 175/2

So, we have:

(x - 0)^2 +(y - 0)^2 = (175/2)^2

Evaluate

x^2 +y^2 = 7656.25

Hence, the equation of the circle is x^2 +y^2 = 7656.25

Read more about circle equations at:

https://brainly.com/question/1506955

30000000 you are welcomeeeeeeeeeeeee

Answer:

States sent representatives to Congress and provided soldiers and some officers to protect the country.

Answer:

33lbs

Step-by-step explanation:

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]

[tex] \frac{ {x}^{12} - {6x}^{10} + {15x}^{8} - {20x}^{6} + {15x}^{4} - {6x}^{2} + 1 }{ {x}^{6} } [/tex]

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{Solution:}}}}[/tex]

[tex](x - 1 \div x) {}^{6} [/tex]

Arrange the powers

[tex] \frac{x {}^{12} - {6x}^{10} + {15x}^{8} - {20x}^{6} + {15x}^{4} - {6x}^{2} + 1 }{ {x}^{6} } [/tex]

Answer:

area of semi circle πr=π×2=44/7 feet²

Answer: 20x

Step-by-step explanation:

First we should note that 60 minutes = 1 hour. Therefore, 15 minutes = 15/60 = 1/4 hour

Since Jean can pack 5 cartons in 1/4 hours, the number of carton that he can pack in one hour will be:

= 5 ÷ 1/4

= 5 × 4

= 20 cartons.

Therefore, to get the number of cartons that Jean can pack in x hours, we will multiply 20 by x. This will be:

= 20 × x

= 20x

Answer:

Volume of big cylinder = 1,438.76 cm (Approx.)

Step-by-step explanation:

Given:

Height of smaller cylinder = 3 cm

Height of big cylinder = 6 cm

Volume of smaller cylinder = 30 cm³

Find:

Volume of big cylinder

Computation:

Volume of smaller cylinder = πr²h

(22/7)(r²)(3) = 30

Radius of small cylinder = 1.783 cm (Approx.)

So,

Radius of big cylinder = 1.783 x 2 = 3.566 cm (Approx.)

Volume of big cylinder = πr²h

Volume of big cylinder = (22/7)(3.566)²(6)

Volume of big cylinder = 1,438.76 cm (Approx.)

Given:

The length of the football field = 360 feet

The length of the titanic = 883 feet

To find:

About how many football fields long was the titanic?

Solution:

We have,

Length of the football field = 360 feet

Length of the titanic = 883 feet

Now we need to divide the length of the titanic by length of the football field to find the number of football fields whose length is equal to the titanic.

[tex]\text{Number of required football fields}=\dfrac{\text{Length of the titanic}}{\text{Length of the football field}}[/tex]

[tex]\text{Number of required football fields}=\dfrac{883}{360}[/tex]

[tex]\text{Number of required football fields}=2.452777...[/tex]

[tex]\text{Number of required football fields}=2.452\overline{7}[/tex]

[tex]\text{Number of required football fields}\approx 2[/tex]

Therefore, the answer in whole number is 2 and the answer in decimal is [tex]2.452\overline{7}[/tex].

Answer:

A

Step-by-step explanation:

1/2f

Answer:

A

the first option

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

6×3−3

Multiply 6 and 3 to get 18.

18−3

Subtract 3 from 18 to get 15.

15

Answer:

B

Step-by-step explanation:

radius + equivalent tangents

Answer:

No.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

If you graph the equations, then you see that (3,8) is not the solution.

Answer:

x = 4

Step-by-step explanation:

Eliminate y by setting the first equation equal to the second:

2x - 7 = -x + 5

Combining like terms, we get:

3x = 12, so that x must be 4.

Answer:

C

Step-by-step explanation:

volumes are width x height x length

4 x 2 x 2 = 16

8 x 2 x 1 = 16

Answer:

You need to buy 3 quarts of paint.

Step-by-step explanation:

Given

[tex]Coats =2[/tex]

[tex]Paint = 90ft^2/qt[/tex]

See attachment for stage

Required

Determine the number of quarts needed

First, we calculate the surface area of the stage (without the base).

This is calculated as:

Area = Area of Rectangle1 + Area of Rectangle 2 + 2 * Area of each triangle on both sides.

For the first rectangle, we have:

[tex]A_1 =Length * Width[/tex]

[tex]A_1 = 15.2 * 19.5 =296.4[/tex]

For the second rectangle, we have:

[tex]A_2 =Length * Width[/tex]

[tex]A_2 = 6* 19.5 = 117[/tex]

For each triangle on both sides

[tex]A_3 = 0.5 * Base * Height[/tex]

[tex]A_3 = 0.5 * 14 * 6 = 42[/tex]

So, the total area is:

[tex]Area = A_1 + A_2 + 2 *A_3[/tex]

[tex]Area = 296.4 + 117+ 2 *42[/tex]

[tex]Area = 497.4ft^2[/tex]

The amount of paint need is:

[tex]Amount = \frac{Area}{2\ coats}[/tex]

From the question, we understand that:

[tex]1\ coat =90ft^2/quart[/tex]

Multiply both sides by 2

[tex]2 * 1\ coat =90ft^2/quart * 2[/tex]

[tex]2 \ coats =180ft^2/quart[/tex]

So, we have:

[tex]Amount = \frac{Area}{2\ coats}[/tex]

[tex]Amount = \frac{497.4ft^2}{180ft^2/quart}[/tex]

[tex]Amount = \frac{497.4ft^2}{180ft^2}quart[/tex]

[tex]Amount = \frac{497.4}{180}quart[/tex]

[tex]Amount = 2.763\ quarts[/tex]

[tex]Amount \approx 3\ quarts[/tex] --- approximated

Answer:

D. y = 2x - 2

Step-by-step explanation:

1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:

[tex]2y-4x = 1\\2y = 4x+1\\y = 2x+\frac{1}{2}[/tex]

A line placed in slope-intercept form is represented by the formula [tex]y = mx + b[/tex]. The [tex]m[/tex], or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.

2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.

We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.

Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex]. Since [tex]m[/tex] represents the slope of the line, substitute 2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:

[tex]y-6 = 2(x-4)\\y-6 = 2x-8\\y = 2x-2[/tex]

So, option D is correct.  

Answer:

x = 16

Step-by-step explanation:

The sum of the exterior angles of a triangle = 360°

Sum the exterior angles and equate to 360

5x + 12 + 10x - 37 + 9x + 1 = 360 , that is

24x - 24 = 360 ( add 24 to both sides )

24x = 384 ( divide both sides by 24 )

x = 16

Answer:

x = 15

Step-by-step explanation:

The sum of angles in a triangle is 180deg.

Let's mark the measures of the internal angles as A, B and C.

We know that

A + B + C = 180deg

180deg - A + 180deg - B + 180deg - C = (9x + 1)deg + (5x + 12)deg + (10x - 37)deg

3*180deg - (A + B + C) = (24x - 24)deg

540deg - 180deg = (24x - 24)deg

360deg = (24x - 24)deg

360 = 24x - 24

384 = 24x

15 = x

Answer:

A measure of exposure-disease association one could use is the odds ratio (OR)

Step-by-step explanation:

An Odds ratio (OR) is a statistical measure quantifying the level of association between two events such as an exposure and an outcome

The odds ratio gives the probability of outcome where there is a given amount of exposure

We have the table;

[tex]\begin{array}{ccc}&Developed \ lung \ cancer& Did \ not \ develop \ lung \ cancer\\Smokers&50&350\\Non-smokers&10&590\end{array}[/tex]

The odds ratio = (The number of smokers with the lung-cancer)/(The number of non-smokers with lung-cancer) ÷ (The number of smokers smokers without long cancer).(The number of non-smokers without long cancer)

∴ OR = (50/10) ÷ (350/590) = 59/7 = 8.[tex]\overline{428571}[/tex] ≈ 8.4

Therefore, a smoker is approximately 8.4 times more likely to develop lung cancer than a non-smoker.