2. Designer Dolls, Inc. found that the number N of dolls sold varies directly with their
advertising budget A and inversely with the price P of each doll. The company sold 5400 dolls
when $20,000 was spent on advertising and the price of a doll was set at $50. Determine the
number of dolls sold when the amount spent on advertising is increased to $52,000. Round to
the nearest whole number
A. 14,040 dolls
C. 2,782 dolls
B. 1,070 dolls
D. 5.400 dolls

Answer:

15 miles

Step-by-step explanation:

The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where a and b are the two legs (the sides of the triangle that are adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.

Plug 12 mi and 9 mi into [tex]a^2+b^2=c^2[/tex] as a and b.

[tex]a^2+b^2=c^2\\12^2+9^2=c^2\\144+81=c^2\\225=c^2[/tex]

Take the square root of both sides

[tex]15=c[/tex]

Therefore, the length of the hypotenuse is 15 miles.

I hope this helps!

Answer:c

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

2/3x - 1/2 = 1/3 + 5/6x

add 1/2 to each side of the equation:

2/3x = 5/6 + 5/6x

subtract 2/3x from both sides:

0 = 5/6 + 1/6x

subtract 5/6 from both sides:

1/6x = - 5/6

multiply both sides by 6:

x = -5

Answer:

106

Step-by-step explanation:

this question represents an arithmetic sequence problem where you can use this formula: a(n) = a(1) + d(n-1)  where 'n' is value you're solving for, a(1) is the initial value, and 'd' is the common difference

a(20) = 49 + 3(20-1)

= 49 + 3(19)

= 49 + 57

= 106

Answer:

We reject H₀ we support the claim that the two proportion are different

Step-by-step explanation:

Younger than 40 years old

Sample size  n₁  = 700

x₁  = 348

p₁ = 348 / 700      p₁ = 0,497     p₁ = 49,7 %

Above 40 years old

Sample size  n₂  = 650

x₂  = 290

p₂ = 290/ 700     p₂ = 0,414      p₂  = 41,4 %

p  =  ( n₁*p₁  +  n₂*p₂ ) / n₁ + n₂

p = 700 * 0,497  + 650 * 0,414 )   / 700 + 650

p = ( 347.9 + 269,1 ) / 1350

p = 0,457      p  = 45,7 %

q = 1 - p         q  = 54,3 %        q = 0,543

CI  is 90 %   significance level is  10 %     α = 10 %     α = 0,1  α/2 = 0,05

zscore for α/2       from z- table is : z(c) = 1,64

Test Hypothesis

Null Hypothesis                                    H₀        p₁  =  p₂

Alternative Hypothesis                        Hₐ        p₁  ≠  p₂

To calculate  z(s) =  (  p₁  -  p₂ ) / √ pq/n₁   +  pq/ n₂

p₁  -  p₂  =  0,497  -  0,414  =  0,083

√ pq/n₁   +  pq/ n₂   = √  0,457*0,543/ 700   +  0,457*0,543/ 650

√ pq/n₁   +  pq/ n₂   =  √ 3,545*10⁻⁴  + 3,82 * 10⁻⁴

√ pq/n₁   +  pq/ n₂   =  2,71 * 10⁻²   =  0,0271

z(s) =  0,083/ 0,0271

z(s) = 3,06

Comparing    z(s)  and z(c)

|z(s)| > |z(c)|

Then z(s) is in the rejection region and we reject H₀

Answer: In my opinion B. 0.005 is the correct answer

Step-by-step explanation:

Answer:

57.99 °

Step-by-step explanation:

[tex]tan( x ) = \frac{16}{10} \\ x = arctan( \frac{16}{10} ) \\ x = 57.99 \: degrees[/tex]

Answer:

3) 57.99°

Step-by-step explanation:

16 is opposite of x° and 10 is adjacent to x°. Therefore, you use tangent because of SOHCAHTOA.

tan(x°)=opposite/adjacent

tan(x°)=16/10

tan⁻¹(tan(x°))=tan⁻¹(16/10)

x°=57.99461679°=58°

So the closest choice is 3) 57.99°

Answer: x=11.9

Step-by-step explanation:

Here, we need to know the concept of trigonometry

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

Given

θ = 32°

Hypotenuse = 14

x = adjacent side (relative to θ)

Solve

cos ( 32 ) = x / 14

x = 14 cos ( 32 )

x≈11.9

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = 11.9

Step-by-step explanation:

x / 32 / 14

x = 11.9

Hope this helps

Answer:

This is a standard notation used by many computer programs including Excel. Entering a value in this form is not the same as entering the logarithm of a number. This is simply a shortcut way to enter very large values, or tiny fractions, without using logarithms.

Step-by-step explanation:

Answer:

I think angle 7 could also measure 117, and I think the angle relationship is alternate exterior angles.

Step-by-step explanation:

If my answers are wrong, I am incredibly sorry!

Answer:

Verdader

o

Step-by-step explanation:

Answer:

Correct Answer 4 Secs

Step-by-step explanation:

#Platolivesmatter

Hope this helped :)

The time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.

A relation is a function if it has only One y-value for each x-value.

Two friends are sitting on a seesaw at the park.

The height, h(t), of the left seat, in inches above the ground, is modeled by a sine function.

Let t represent the time, in seconds, since the friends started seesawing.

t       0    1    2  3  4   5   6

h(t)  24 48 24 0 24 48 24

The friends start see sawing with the plank in a level position.

The initial position at 0 of them is at 24.

The group has to come back to this position after moving upward and downward.

The time it takes to reach upward is,

f(48)=1

The time it takes to reach downward after going upward is,

f(0)=3

Coming back to initial potion,

f(24)=4

Hence, the time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ7

Answer:

B) 20°

Step-by-step explanation:

The top half of the circle is equal to 180°...

13x + 3x + 2x = 180°

18x = 180°

x = 10°

Angle EOD is the opposite angle of 2x

2 (10) = 20°

Answer:

Michelle's position below the surface of water = 53 meter below water level

Step-by-step explanation:

Given:

Chris position in water = 40  meters below the surface of water

Michelle drive more than 13 meter below from Chris

Find:

Michelle's position below the surface of water

Computation:

Michelle's position below the surface of water = Chris position in water + Extra dive then Chris

Michelle's position below the surface of water = 40 meter + 13 meter

Michelle's position below the surface of water = 53 meter below water level

Answer:

It will measure 30°. I hope it helps you

Answer: throw something at it maybe

Step-by-step explanation:

Answer:

We aren't going to do all your homework for you. That's why no one is answering. If you have one specific question, I can help

Step-by-step explanation:

. No one is going to do this whole assignment/homework.

Answer:

33.61 mm (the square root of 1130)

Step-by-step explanation:

50 millimeters

keystrokes

Answer:

Multiply 43x15x5

Step-by-step explanation:

length x whight x hight

Answer:

A) A dilation by a scale factor of 2, centered at the origin, followed by a 180° clockwise rotation about the origin.

Step-by-step explanation:

a dilation by a scale factor of 2, centered at the origin will double its size and move point A from (-2,2) to (-4,4). Then the clockwise rotation of 180° degrees will rotate the figure so that it's point A (now called point D) will be at (4,-4).

Answer:

a pex

Step-by-step explanation:

Answer:

a=270cm^2

Step-by-step explanation:

a= HbB/2

18×30/2

270cm^2

Answer:

Area =(H×B)÷2

=(18x30)÷2

=54O ÷2

=27O

Answer:

81

Step-by-step explanation:

w/9=9

w=9*9

w=81

Answer:

w = 81

Step-by-step explanation:

To get w, you have to do inverse operations. Because w is being divided, we need to multiply to isolate w because multiplication is the opposite of division.

w/9 = 9

(9) (w/9) = (9) (9)

w = 81

Answer:

The ordered pair is: [tex](\frac{7\sqrt{3}}{2},\frac{5\sqrt{3}}{2})[/tex]

Step-by-step explanation:

We are given the following plane curve:

[tex]x = 7 \cos{t}[/tex]

[tex]y = 5 \cos{t}[/tex]

Ordered pair for a value of t:

We find (x,y) for these values of t. So, when [tex]t = \frac{\pi}{6}[/tex]

[tex]x = 7 \cos{\frac{\pi}{6}} = 7\frac{\sqrt{3}}{2} = \frac{7\sqrt{3}}{2}[/tex]

[tex]y = 5 \cos{\frac{\pi}{6}} = 5\frac{\sqrt{3}}{2} = \frac{5\sqrt{3}}{2}[/tex]

The ordered pair is: [tex](\frac{7\sqrt{3}}{2},\frac{5\sqrt{3}}{2})[/tex]