All Answers 358087 Answers

 Multiply 850 by 60. Multiply that by 60.There are 3600 seconds in an hour. A speed of 850 miles per hour is 850/3600 miles per seconds = 0.23611 miles per second, which is just slightly less than one quarter mile per second.

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3. one half absolute value 3c+5=6c+4

$$\\3.\\\\
\frac{1}{2}|3c+5|=6c+4\\\\
|3c+5|=2(6c+4)\\\\
2(6c+4)=|3c+5|\\\\
12c+8=|3c+5|\\\\
$now it is very similar to question 2$$$

You should be able to have a go at 4 and 5 by yourself now.

Let us know if this is still a problem.  Or put your answer up and we can check it for you :)

Hi Knk98  

1) 2x=5= 3x+4      There are 2 equal sign so you better correct this one.

2) 

4*|3x+4|=4x+8

4*|3x+4|=4(x+2)

|3x+4|=x+2                I have divided both sides by 4

x+2=|3x+4|                Now think for a momement  |6|=|-(6)|   so    |3x+4| = |-(3x+x)|

hence

x+2=3x+4       or      x+2=-(3x+4)

    2= 2x+4      or      x+2= -3x-4

    -2=2x          or        4x+2=-4

    -1=x           or        4x=-6

     x=-1          or          x=-6/4 = -3/2

   x=-1           or          x=3/2

These are the 2 answers.   

A : B = 3 : 8,           B : C = 5 : 2     or    B : C = 8 : 3.2

Now we have this:     A : B : C = 3 : 8 : 3.2

Combine:    3+8+3.2 = 14.2

Divide:      85,342/14.2 = 6,010

Multiply  3, 8, and 3.2 by 6,010:

A       3*6,010 = 18,030

B       8*6,010 = 48,080

C       3.2*6,010 = 19,232

Grady rides his bike 60% faster than his little brother Noah. If Grady rides 12 miles further than Noah in two hours, how fast in miles per hour does Noah ride?

Noah rides at a speed of 10 miles per hour because 6 miles are 60% of 10 miles!

In one hour Noah rides 10 miles, and Grady rides 10 miles + 60% more of it, which is 16 miles.

In 2 hours Noah rides 20 miles, and Grady rides 32 miles.

$$E_{red}=\frac{k}{7\times10^{-7}}\\\\
E_{2000red}=\frac{2000k}{7\times10^{-7}}=\frac{k}{3.5\times10^{-10}}\\\\
a=3.5\\
b=-10\\
a+b=-6.5$$

The basic SI unit of Energy is the Joule (J).  

One Joule per second is one Watt (W), a measure of power.    W = J/s

One kilowatt (kW) is a thousand watts.

Power = Energy/time.   Energy = Power*time.

A kilowatt-hour (kW-hr) is the energy expended by a power of one kilowatt for one hour.

1kW-hr = (1000J/s)*(3600s) = 3.6*10⁶ J.

You pay for energy used; in this case at a rate of 0.2650 dollars per kW-hr

.

(0,0)

You subtract each part from each other.

The answer is B......if the number of dimes = d , then the number of quarters  = 3d

And each dime is worth 10 cents and each quarter is worth 25 cents.....so....the total sum (amount) of money is given by :

The value of each dime (in cents) * their number + the value of each quarter (in cents) * their number  =

10*d + 25*(3d)  =   10d + 25(3d)

Ok....look at this....the first term [ n = 1 ] is just:

 (-1)^1 * (1/2)^(1 - 1) = -1 * (1/2)^0   = -1 * 1 = -1

And the third term is just:

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

So...the 4th term  is  just:

(-1)^4 * (1/2)^(4 - 1)   =  1 * (1/2)^3 =   1 * (1/8)   = 1/8

Does that help???

still confused....  

The "formula" for the nth term of the series is given by:

a_n  = a₁  + d(n -1)       where a1 is the first term, (-5), and d is the common difference between successive terms  = (4)..so we have

a_n = -5 + 4(n - 1)   =  -5 + 4n - 4   =   -9 + 4n  ....or just...    4n -9 .... so...the answer is (B)

The answer is C → (-2, 3)......reflecting across the y axis only changes the sign on the x coordinate...

The nth term of the sequence is given by: (-1)^n * (1/2)^(n - 1)

So....the 4th term is given by :    (1/2)(4-1) = (-1)^4 * (1/2)^3   =  1/8

Phil Can you please go into detail how you got the cubit information ? 15 - 20.4 inches

Can you rexplain how you got the answer , Thank you

Nope...that's what we're here for....!!!!

Yes , Thank you ! I will have more questions coming your way if you dont mind.

Yeah..I did......the post  and the distance the cable is anchored from the post represent the two legs....so we have:

12^2 + 5^2 = h^2    where h is the hypotenuse (the cable length)  ...so...

144 + 25 = h^2

169 = h^2     take the square root of both sides

13 = h =  the cable length in feet

Does that make sense???

The slope is given by :    [ 7 - (-5) ]/ [ 3 - (-1) ] =   [12] / [4] = 3

so you wouldnt use pythagorean therom on this question?

Each cable forms a right triangle with the post..... the post = 12 feet, the distance the cable is anchored from the post = 5 feet... and the cable length itself =  the hypotenuse = √[12^2 + 5^2] = √169  = 13 feet

And we have 3 of these on each post and 4 posts in total....so...the total length  = (13)(3)(4)  = (13)(12)  = 156 ft

The sum of the first "k" positive integers is given by :   (k)(k + 1)/2

So  (x +)   where x =  28  is just  (28)(29) /2     and  (x+) where x = 27  is just (27)(28)/2 

So we have

(28)(29)/2 -  (270(28)/2        ..... factor out 28/2

[28/2] [ 29 - 27]=

[14] [2]  = 28

And notice that :

1 + 2 + 3 + 4 + 5 + 6 + 7  = 28   

So this equals the sum of the first seven positive integers  =  (7)(8)/2  = 56/2 = (7+)

If we use (x+) to indicate the following sum
   1 + 2 + 3 + ... + x
then find the value of k in the following equation
(28+) - (27+) = (k+)

$$\small{\text{$
\begin{array}{rcl}
(28+)-(27+) = (k+) = 28 &=& S_k \qquad (28+) = S_{28} \quad (27+)=S_{27}\\\\
S_{28}-S_{27} = t_{28} = 28&=&S_k\\\\
S_k &=& t_1 \cdot \dbinom{k}{1} + d\cdot \dbinom{k}{2} \qquad t_1=d=1\\\\
S_k &=& \dbinom{k}{1} + \dbinom{k}{2} = \dbinom{k+1}{2} = 28\\\\ \\
\dfrac{k(k+1)}{2} &=& 28 \\\\
k(k+1) &=& 56\\\\
k^2+k-56&=&0\\\\
\Rightarrow k &=& \dfrac{-1+15}{2} = 7\\\\
\mathbf{S_k = (k+) }& \mathbf{=} & \mathbf{(7+)}\\\\
(7+)=1+2+3+4+5+6+7&=&28 \\
\end{array}
$}}$$