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y = 1/8 x^2 - x + 6  

1.  Not sure about these types of questions:

      Translate circle one 6 to the right and down 4 and scale it by a factor of 3  ??

2.  Area of the ENTIRE circle (360 degrees)   is pi r^2    (r=12)

      you want the area of 60 out of 360 degrees....this faction is 60/360

      So:   (60/360)  x pi x 12^2 =   24 pi   in^2

Thank you for your response! I personally do not think I can, and I would think I would have to have this explained to me to some extent. It's not that I fell asleep in class or anything, I just didn't get this part so much and want to get a passing grade on test! 

This is VERY similar to a post from yesterday....

https://web2.0calc.com/questions/geometry_56897

Think you can figure it out with this info?

Thank you. Do you mind helping me with my other questions?

Sin 30 =  14/x

x = 14/sin30

x = 14/(.5)

x=28

Convert 343 in base 10 to base 7

343_10 =1 000_7

1 000_7 / 4_7 =152 fours

1 000_7 / 5_7 =125 fives.

1 000_7 / 45_7 =13 fours and fives.

I will assume  4 sin (3x) + 3

Original surface area = 3 x 3 * 6 = 54 in^2

Remove 8 x 3 in^2 = 24 in^2       

add   the 2 inch cubes   surface area   2x 2 x 6  x8 = 192 in ^2

             less the surface area covered by putting in the corners  3 x 8 = 24 in^2

54 -24 + 192 - 24 = 198 in^2

198 is your answer

I would say   Yes   No   No

All marathon distances are fixed at 26.2 miles ....no distribution

Average age would also be a single number...the average age of all of the participants.

The smallest integer that has 4 digits in base 8 is \(1000_8\), which stands for \(8^3 = 2^9\). The largest integer that has 4 digits in base 8 is \(7777_8\), which is 1 less than \(10000_8\) and therefore stands for \(8^4-1 = 2^{12}-1.\)

Thus, when a 4-digit base-8 integer is written in base 2, its highest place value is either \( 2^9, 2^{10},\) or \(2^{11}\). It follows that the base-2 expression has 10, 11, or 12 digits, so the sum of all possible values for d is \(10+11+12 = \boxed{33}.\)

I hope this helped,

Gavin

f(x)=4^x5+8x+2

if it is even then

f(x)=g(-x)

and if that happens then it means the graph has the x axis as the axis of symmetry.

Does f(1)=f(-1)   if it doesn't then it is NOT even. If it does then it might be even you will need to think a little.

If it is odd then

f(-x)=-f(x)  and it will have 180 degrees rotational symetry about the origin.

does f(-1)= -f(1)  ??

You can cheek you answer by graphing it here

Here ya go:

-7pi/ 4  =  pi/4

So...the first answer is correct

cos ( - θ)  = cos ( θ )  = 4/5

Since  tan θ  and cos θ   >  0 , θ must be a first quadrant angle

So....sin θ  =  3/5

So.....sin (- θ)  = -sin (θ)  =  -3/5

The sample is not biased.

The question is not biased either, I believe.

Remember! The sum of the exterior angles in any polygon is 360 degrees.

Since it's asking for each angle, we can simply do \(\frac{360}{9}=\boxed{40^\circ}\)

1.  Here's the first one  : https://www.desmos.com/calculator/yxwbkrkywo

The midline  is  y  = -2

The first point is (pi/4, -2)

The second point  is  ( pi/2, -6)

2.  Here's the second one : https://www.desmos.com/calculator/a1sj0xcrjk

The midline is  y  = -5

The first point is (pi/4, - 5)

The second point is  (7pi/24, -8)

First, add 3 to both sides,

2x^2=2x-3,

2x^2+3=2x-3+3

2x^2+3=2x

Then, subtract 2x on both sides,

2x^2+3-2x=2x-2x

2x^2-2x+3=0

After that, solve with the quadratic formula to get the third option.

Positive  on   (-3, 1)   and  ( 4, infinity )

Notice that when x  = 0, we have that

f(0)  =  -2cos(4pi * 0 )  =   -2 cos (0)  =  - 2 (1)   = -2

So....notice that the second graph is the only  one  that contains the point  (0 , -2)

We can find the amplitude  by finding the difference between the max value on the graph and the min  value on the graph and dividing this difference by 2

Max  value   = 6

Min value  = -2

So

[ (6)  -  (-2)  ]  / 2   =   [ 8 ]  / 2   = 4  = the amplitude

[1 x 8^3] + [0 x 8^2] + [0 x 8^1] + [0 x 8^0] =512 in base 10

1                0               0                0            =1 000 in base 8

512 in base 10 =

[1 x 2^9] + [0 x 2^8] + [0 x 2^7] + [0 x 2^6]......and so on to + [0 x 2^0]=

10 0000 0000 in base 2. The sum of all digits in base 2 = 1

6 / 15  =  2 / 5   = 40%     ⇒   Correct  !!!!