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16^(6/5)   ≈  27.8576180254759725

y = −14(x − 4)^2 + 4

We have the form      y = a(x - h)^2 + k       with a vertex of (h, k)

So......the vertex is (4, 4)

3355443.2

that should do it

just select the question you want to answer then select "post new answer" you will then create your answer and  verify your humanity.

tan (62.8)  = H / 18       rearrange as

H = 18tan(62.8)   ≈  35.02 ft 

1/54 ----- when both numerators are 1 you just multiply the denominators in this case its 9x6 which is where the 54 came from

180 / 3% = 180 /0.03 =$6,000 Total amount of sales.

Length of EF  =   √ [(7 - 1)^2 + (-2 - -2)^2 ]   = √ 6^2   =  6 units

Length of E'F' =   12 units

Width of FG  = √ [(7 - 7)^2 + (-2 - - 6)^2 ]   = √ 4^2   =  4 units

Width of F'G' = 8 units

C is correct

8.5

its 8.5

C is correct

1367964

D is correct

You multiply each set of two numbers, and double them:

10 * 13 = 130  -->  130 * 2 = 260

10 * 5 = 50  -->  50 * 2 = 100

13 * 5 = 65  -->  65 * 2 = 130

Add the three results together:

260 + 100 + 130 = 490

Equation  :  Distance after lunch  =  Total Distance - Distance in the morning

Distance  after lunch = 32.3 km - 14.7km  =  17.6 km

32.3 - 14.7 = how much he ran after lunch

I assume this is :

10*log₁₀(1/[1+x^2])= 3      divide each side by 10

log₁₀ ( 1 / [ 1 + x^2] )  = 3/10  

In exponential form, this says that

10^(3/10)  =   1 / [ 1 + x^2]     and we can write

1 + x^2   =   1 / 10^(3/10)     subtract 1 from both sides

x^2 = 1 / 10^(3/10) -1         take  both pos/neg square roots  and we have that

x = ±√ [1 / 10^(3/10) -1 ]  ≈   ± .706 i    [a non-real solution ]

5, 9, 15, 21, 31, 37, 47......etc. Please give at least 3 more terms of this sequence. Thank you.

I have been thinking about this sequence for close to an hour, and I came up with this "fanciful" solution:

If we factor the non-prime terms we get this:

9 = 3 x 3 =3 + 3 + 3  

15 =3 x 5 =5 + 5 + 5

21 = 3 x 7 =7 + 7 + 7

From the above, I deduced that each term consists of: Prime number x 2 + All the ODD numbers from 1 upwards!!. So:

1st. term =2 x 2 + 1=5

2nd.term=3 x 2 + 3 =9

3rd term =5 x 2 + 5 =15...... and this HOLDS for all the terms given!. Therefore, the next 3 terms would be: 19 x 2 + 15 =53

       23 x 2 + 17 =63

       29 x 2 + 19 = 77.........etc., so that the whole sequence looks like this:

5, 9, 15, 21, 31, 37, 47, 53, 63, 77.....etc.

And that is my take on it!!.

First click what ever number you may need as the base then click x^y and the number that you want to be your exponent. Hope this helped

Cphill: Thanks for the compliment. I had shown previously that this simple method is equivalent to the logs' method.

I kept getting 139 also but that was apparantly wrong.

√1200 =

√ [400 * 3]  =

√400 *√3  =

20√3

Can you show me how to solve for x?