All Answers 358095 Answers

Which do YOU think it is....and why?

s = 6 r³ t     divide both sides by 6 r³

s/(6r³) = t

or is your question

s= 6 r^(3t)    ?

Hi meme.

Answer: 12/13

Solution: 12/13. The sine of the acute angle of a right triangle is the opposite side divided by the hypotenuse.

1. Since it is only possible to find the log of a positive number, 1/x + 12 > 0. Therefore, x + 12 > 0, and if 12 is subtracted from both sides, the inequality becomes x > –12, so the domain of the function is {x ∈R| x > –12}.

1. The correct answer is even. Two even numbers multiplied together will always yield an even number.

1. The correct answer is even. Two even numbers multiplied together will always yield an even number.

2. Two times any number is even and any even number plus 1 is odd. The correct answer is 2xy^2 + 1.

1. The solution is 400. Since 22% of the people surveyed fall into this category, we can use the equation .22x = 88 to solve the problem.

2. The solution is 24 routes. To determine the number of different routes we multiply the routes for each part of the trip. 4(3)(2) = 24 routes.

That is correct, the answer is C(8,4) = 70.

I'm late but WeLCoME!

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Thank you soooo much, CPhill! You're amazing!

Question 2

The scale on the  blueprint is  1/10   that of the true dimensions

So....the radius  of the circle on the blueprint  = (1/10) (60) =  6 ft

And the center  ofthe crcle is   ( 15,30)

So.....the equation of the  flower garden  is

(x - 15)^2  + ( y - 30)^2   =  6^2

(x - 15)^2  + ( y - 30)^2  =  36

Good  job, macabresubwoofer    !!!!

First one

Center  =  ( -5, - 2)

Opens  up and down

a  =   8

Coordinates of vertices  =   (-5, -2 + 8) and  (- 5, -2 - 8)   =  ( - 5, 6) and ( -5, -10)

Slopes of asymptotes   =     ± a / b   =   ± 8 / 6  =  ±  4/3

Equations of asymptotes  ...    y + 2 =   ±(4/3) ( x + 5)

It's easiest to work just with the fraction in the denominator, first....so we have

  1  / [  √3 + 1]     [ multiply top/bottom by  √3 - 1 ]  =

[  √3 - 1]  /  [3 - 1]  =

[  √3 - 1 ] /  2

So....on the bottom we have

1  +  [  √3 - 1 ] / 2    =

[ 2 +  √3 - 1 ]  / 2  =

[  √3 + 1 ]  / 2

So we have

   1

___________  =

[ √3 + 1 ] / 2

    2

_________         again, multiply top/bottom by  √3 - 1   

[  √3 + 1 ]

2 [  √3 - 1 ]

__________  =

   3   -  1

2 [  √3 -1]

__________  =

       2 

 √3 - 1

We have that

cosA  cos B  - sin A sin B   =    cos (A + B)  =   cos ( 25 + 65)  =   cos (90°)   =   0

and 1st. A

Since there are 15 brown candies out of 52 total, the probability is 15/52.

2nd. Answer: C) multiply by 2 and add 3

1*2+3 = 5
5*2+3 = 13
13*2+3 = 29
29*2+3 = 61

The solution is 2x + 3. To get the next term in the pattern, the term is multiplied by 2 and then 3 is added to the result.

5 = 2(1) + 3

13 = 2(5) + 3

29 = 2(13) + 3

61 = 2(29) + 3

The perimeter   is   

15  +  (125 - 15 - 11)  = 15 + 99  =  114 ft

Plus

pi * 11   ft

Plus

99 ft

Plus

sqrt  ( 15^2 + 22^2)  ft

So  we have

114  + pi * 11  +  99 +  sqrt (15^2 + 22^2)   =

274.185 ft

Original List = {4000, 2500, 3500, 2000, 1500, 4000, 5000}



Sorted List = {1500, 2000, 2500, 3500, 4000, 4000, 5000}
The middle value of that sorted list is 3500, so this is the median


The mean is found by adding up the values and then dividing by 7 (since there are 7 values) so we have
mean = (sum of values)/7
mean = (1500+2000+2500+3500+4000+4000+5000)/7
mean = 22500/7
mean = 3214.286 (approx)

The mode is 4000 because this value is the most frequent. It shows up twice while everything else shows up once.

the range is the difference of the largest and smallest items
range = max - min
range = 5000 - 1500
range = 3500
coincidentally it is equal to the median, but this wont always be the case

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

mean = 3214.286
median = 3500
mode = 4000
range = 3500

------------------------
Going through the answer choices we have...
A) True, 3214.286 is less than 4000
B) False, 4000 is not less than 3214.286
C) False, 3214.286 is not larger than 3500
D) False, 3500 is not greater than 3500
E) False, 3214.286 is not greater than 3500

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

Answer is choice A) mean is less than the mode

Cone A and cone B are congruent, so they must have the same volume. Cone A has volume of 8pi in^3 (because we're told cone B has this volume)


focus on cone A only for now
r = radius = d/2 = x/2
h = height = x+2
V = volume of cone
V = 8pi
V = (1/3)*pi*r^2*h
8pi = (1/3)*pi*(x/2)^2*(x+2)
8pi = (1/3)*pi*((x^2)/4)*(x+2)
8pi = pi*((x^2)/12)*(x+2)
8 = ((x^2)/12)*(x+2) ... divided both sides by pi
12*8 = x^2(x+2) ... multiplied both sides by 12
96 = x^3+2x^2
0 = x^3+2x^2-96
Using a graphing calculator, I found the solution to that equation to be x = 4. Basically you are looking for the x intercept of f(x) = x^3+2x^2-96

So,
h = x+2
h = 4+2
h = 6

Answer: B) 6 in

sin A   =    opposite side to A  /  hypotenuse

Can you find the answer  ????

V_cone =     pi * radius^2 * height / 3    ....so we have

8 pi  =  pi * (x/2)^2 * (x + 2) / 3       divide out pi.....multiply both sides by 3

24  =  x^2 ( x + 2)/4       multiply both sides by 4

96  = x^2 ( x + 2)     

96  = x^3 + 2x^2

x^3 + 2x^2 - 96   =  0

The real solution to this is  x  =  4

So....the height  of    B  =   x + 2   =    6

8 ^{-3x - 1} *  (1/16)^x  =  4^2x

We can write eveything in terms  of base  2....so we have

(2^3)^(-3x - 1) *  (1/ 2^4)^x =  (2^2)^(2x)       simplify

(2) ^(-9x - 3) * ( 2^-4)^x  = (2)^(4x)

(2)^(-9x - 3) * (2)^(-4x)  = (2)^(4x)

Using the property that    a^m * a^n  = a^(m + n)     we have

(2)^(-9x - 3 - 4x)  =  2^(4x)      the bases are the same.....olve for the exponents

-9x - 3 - 4x  =  4x

-13x - 3  = 4x      add 13x to both sides

-3  = 17x       divide both sides by 17

x = -3 / 17

tan(angle) = opposite/adjacent
tan(25) = 89/x
x*tan(25) = 89
x = 89/tan(25)
x = 190.86111592535 make sure your calc is in degree mode
x = 191

Answer: D) 191 ft