arie's airplanes tracked the number of television advertisements they ran along with the corresponding airplane sales. this table displays how the number of advertisements relates to their total sales. the data can be modeled by a quadratic function.

what function best models the data?

Step-by-step explanation:

11.

Area of rectangle = 408 in²

Length = 3x-2 and width = x

The area of a rectangle is given by :

A = lb

(3x-2)x = 408

x = 12 inch and x = -11.33 in

Neglecting negative value,

The width of rectangle = 12 inch

The length of rectangle = 3x-2 = 3(12)-2 = 34 inch

12.

Base of triangle = 2x+2

Height = x

The area of a triangle is given by :

[tex]A=\dfrac{1}{2}bh\\\\600=\dfrac{1}{2}\times (2x+2)x\\\\600=(x+1)x[/tex]

x = 24 cm and x = -25 cm

Neglecting negative value, x = 24 cm

Base = 2x+2 = 2(24)+2 = 50 cm

Hence, this is the required solution.

Answer:

[tex]V_d=976.9ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height of cylinder h_1=114 feet

Diameter d=1

Length of triangular prism [tex]l_2=34ft[/tex]

Width of triangular prism  [tex]w_2=34ft[/tex]

Height of triangular prism [tex]h_2=1 ft[/tex]

Generally the equation for Volume of the cylinder is mathematically given by

 [tex]V_c=\pir^2h[/tex]

Where

 [tex]r=d/2\\r=0.5[/tex]

Therefore

 [tex]V_c-=\pi*0.5*114[/tex]

 [tex]V_c=57\pi[/tex]

 [tex]V_c=179.1ft[/tex]

Generally the equation for Volume of a Rectangular prism is mathematically given by

 [tex]V_r=whl[/tex]

 [tex]V_r=34*34*1[/tex]

 [tex]V_r=1156feet[/tex]

Generally the equation for Volume difference  is mathematically given by

 [tex]V_d=V_r-V_c[/tex]

 [tex]V_d=1156-179.1[/tex]

 [tex]V_d=976.9ft[/tex]

Answer:

20

Step-by-step explanation:

(16)2+(12)2=

 c2\,\,c^{2}c2

Use the Pythagorean Theorem.

256+144=256+144=256+144=

 c2\,\,c^{2}c2

Simplify.

400=400=400=

 c2\,\,c^{2}c2

Simplify.

±400=\pm\sqrt{400}=±400

​=

 c2\,\,\sqrt{c^{2}}c2

​

Square root both sides.

20=20=20=

 c\,\,cc

Simplify. Ignore negative root, as length must be positive.

Answer:

B is correct

Step-by-step explanation:

Answer:

The answer is letter B.

Step-by-step explanation:

go left 2

up 3

Answer:

5 in.

Step-by-step explanation:

An equilateral triangle has 3 equal sides.

So third side is 5 inches long.

Answer:

r = 2

Step-by-step explanation:

2(8r + 5) = 24 + 9r

16r + 10 = 24 + 9r

16r - 9r = 24 - 10

7r = 14

r = 2

Answer :

Probability = 16/18

Reduce the fraction with 2

Probability = 8/9

Answer:

[tex]\implies\boxed{\red{\sf P( not \ having\ red\ hair)=\dfrac{ 8}{9}}}[/tex]

Step-by-step explanation:

Given :-

And we need to find the probability that a person picked at random from the room does not have red hair . So for that firstly let us find how many people do not have red hair.

According to Question :-

[tex]\implies n_{(red)}+ n_{(not\ red)}= 18 \\\\\implies 2 + n_{(not\ red)}= 18 \\\\\implies n_{(not\ red)}= 18 -2 =\boxed{\red{16}}[/tex]

Hence the probability is :-

[tex]\implies P( not \ having\ red\ hair)=\dfrac{ n_{(favourable\ outcomes)}}{n_{(possible\ outcomes)}} \\\\\implies P( not \ having\ red\ hair)=\dfrac{ 16}{18} \\\\\implies\boxed{P( not \ having\ red\ hair)=\dfrac{ 8}{9}}[/tex]

Hence the required probability is 8/9 .

Answer:

y = 3x + 5

Step-by-step explanation:

add 6x to each side to get:

2y = 6x + 10

finally, divide each side by 2 to get:

y = 3x + 5

Answer: Y = 3x +5

Step-by-step explanation:

Answer:

(a) PR = 55.2 cm

(b) RT = 19.7 cm

(c) <RPT = [tex]20.8^{o}[/tex]

Step-by-step explanation:

(a) to determine the value of PR, apply the Pythagoras theorem to PQR.

PQ = 45, and SP = QR = 32. So that;

[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]

[tex]/PR/^{2}[/tex] = [tex]45^{2}[/tex] + [tex]32^{2}[/tex]

          = 2025 + 1024

          = 3049

PR = [tex]\sqrt{3049}[/tex]

     = 55.218

PR = 55.2 cm

(b) To determine RT, apply the appropriate trigonometric function to QRT.

Let RT be represented by x, so that;

Sin [tex]38^{o}[/tex] = [tex]\frac{x}{32}[/tex]

x = 32 * Sin [tex]38^{o}[/tex]

  = 32 * 0.6157

x = 19.7024

RT = 19.7 cm

(c) To determine <RPT, let the angle be represented by θ.

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

        = [tex]\frac{RT}{PR}[/tex]

Sin θ = [tex]\frac{19.7024}{55.218}[/tex]

         = 0.3568

θ = [tex]Sin^{-1}[/tex] 0.35568

  = [tex]20.84^{o}[/tex]

Thus, <RPT = [tex]20.8^{o}[/tex]

Answer:

.5

Step-by-step explanation:

3/4 of a mi is equal to 0.75 mi

2/3 of .75 is .5

Answer:

Step-by-step explanation:

you have to substitute x with -3, so where you see x in the equation you write a -3 and calculate

[tex]\frac{(x-2)(x+9)}{x(x+5)} = \frac{(-3-2)(-3+9)}{-3(-3+5)} = \frac{-5*6}{-3*2} =\frac{-5}{-1} =5[/tex]

Answer: Hi your questions some required details attached below is the required random number table and missing question

Answer : 83, 58, 64, 26, 47, 68, 29, 4, 78

Step-by-step explanation:

The number of 9 faculty members that will be included in the sample will be written considering the fact that the 9 numbers ( first 9 ) are lesser than 88, and also considering the fact that 58 is repeated twice ( in the random number table ). Hence The number of 9 faculty members = 83, 58, 64, 26, 47, 68, 29, 4, 78

Answer:

symmetric property

Step-by-step explanation:

The symmetric property states that for any real numbers, a and b,

if a = b then b = a

Answer:

Slope = 27/11

AB = 29.15 u

Step-by-step explanation:

Given :-

To Find :-

We can find the slope of the line passing through the points [tex]( x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex]as ,

[tex]\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}[/tex]

[tex]\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}[/tex]

Hence the slope of the line is 27/11 .

[tex]\rule{200}2[/tex]

Finding the length of AB :-

[tex]\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }[/tex]

Hence the length of AB is 29.15 units .

Answer:

13.0

Step-by-step explanation:

sin(65°) × 14.3 would give u 12.9 then u round it to the 13

Answer:

(1.5,6)(15,33) slope=2

Step-by-step explanation:

Answer:

y-2x=3; A(1.5, 6) B(15,33) Slope = 2

Step-by-step explanation:

First thing, you add 2x on both sides and get y=2x+3. Since the equation y=mx+b states that m is the slope, the slope is 2.

2nd step is finding the missing coordinate for a. You plug in 6 as the y in the equation y=2x+3, and then get 2x+3=6. Now it is a simple algrebraic equation and you get x=3/2 or 1.5.

The final step is to solve for B. Using the equation y=2x+3, and substituting in x as 15, you get y=30+3 which equals 33.

I hope this gave you an in depth explanation on solving these problems!

Answer:

M > 3

Step-by-step explanation:

4M > 12

M > 3

Answer:

um... you can have M as 4. 4 x 4 =16

Answer: 2 : 50 pm

Step-by-step explanation:

If Jan took a break at 3:05 pm and she had been jumping rope for 15 minutes before that, to find the time she started jumping rope, subtract 15 from the current time:

= 3:05 - 15

= 2:50 pm

Jan started jumping rope at 2 : 50 pm

Answer:

I'm not 100% sure but I think c is 55°

Answer:

Step-by-step explanation:

-12

Answer:

x = 8

Why?

Step-by-step explanation:

2(8) - 6 = 10

16 - 6 = 10

there you go :-)

HOPE IT HELPS

(FROM CROSS)

Answer:

62 ft is the answer

Step-by-step explanation:

I did the test

Answer:

By using the pythagorean property such that GJ^2+HJ^2 = GH^2

GJ = √(GH^2-HJ^2)

GJ √(11881-8281)

GJ = √ 3600

GJ = 60.00 (ANS)

Hope it helps

Answer:

C

Step-by-step explanation:

To evaluate f(3) substitute x = 3 into f(x), that is

f(3) = [tex]\frac{1}{6}[/tex] × 3 = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex] → C

Answer:

vertical angle are angles opposite each other where two lines cross .

Answer:

B

Step-by-step explanation:

Using the graph, we pick a convenient point: (20, 180)

This point means that for 20 hours of work, Vincent is paid 180 dollars. In fraction form, we can write 20hrs/180 dollars. If we simplify the fraction by dividing both the numerator and denominator by 20 we get 1/9 AKA 1hr/9 dollars. So in 1 hour, Vinnie is paid $9.00

Have a good rest of your day

Answer:

f(x) = x

Step-by-step explanation:

example of points on line: (40,40), (45,45), (50,50)

x-values are the same as y-values which means the line is y=x

Answer:

ill help u but

Step-by-step explanation: