6 to the 5 power times 6 to the negative 2 power= ?

What is the arc length when Θ = 4 pi over 7 and the radius is 5 cm?

xxTIMURxx [149]

$\bf \textit{arc's length}\\\\
s=r\theta \qquad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
r=5\\
\theta =\frac{4\pi }{7}
\end{cases}\implies s=5\cdot \cfrac{4\pi }{7}$

8 0

3 years ago

HELP plz I need it right now

nlexa [21]

Https://us-static.z-dn.net/files/d43/8774a5c2c75c2320f2c27ccdcacd8dd5.jpg

7 0

3 years ago

Write the polynomial in factored form. <br><br> p(x)=(x+5)(x-___)(x+___)

Rom4ik [11]

Answer:

Step-by-step explanation:

Given : $p(x)=x^{3} +6x^{2} -7x-60$

Solution :

Part A:

First find the potential roots of p(x) using rational root theorem;

So, $\text{Possible roots} =\pm\frac{\text{factors of constant term}}{\text{factors of leading coefficient}}$

Since constant term = -60

Leading coefficient = 1

$\text{Possible roots} =\pm\frac{\text{factors of 60}}{\text{factors of 1}}$

$\text{Possible roots} =\pm\frac{1,2,3,4,5,6,10,12,15,20,60}{1}$

Thus the possible roots are $\pm1, \pm2, \pm 3, \pm4, \pm5,\pm6, \pm10, \pm12, \pm15, \pm20, \pm60$

Thus from the given options the correct answers are -10,-5,3,15

Now For Part B we will use synthetic division

Out of the possible roots we will use the root which gives remainder 0 in synthetic division :

Since we can see in the figure With -5 we are getting 0 remainder.

Refer the attached figure

We have completed the table and have obtained the following resulting coefficients: 1 , 1,−12,0. All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.

Thus the quotient is $x^{2} +x-12$

And remainder is 0 .

So to get the other two factors of the given polynomial we will solve the quotient by middle term splitting

$x^{2} +x-12=0$

$x^{2} +4x-3x-12=0$

$x(x+4)-3(x+4)=0$

$(x-3)(x+4)=0$

Thus x-3 and x+4 are the other two factors

So , p(x)=(x+5)(x-3)(x+4)

3 0

4 years ago

Read 2 more answers

Milton took out a loan for S2400 at 7% interest compounded annually the makes yearly payments of $140, will he ever pay off the

labwork [276]

Answer:

We will choose option D.

Step-by-step explanation:

Milton took out a loan for $2400 at 7% interest compounded annually.

So, after one year his loan will grow up to $2400(1 + \frac{7}{100} )^{1} = 2568$ dollars.

Therefore, the interest added to the principal is $(2568 - 2400) = $168

But Milton makes yearly payment of $140 which is less than the interest i.e. $168 which is added to his loan in the first year.

Therefore, he can not ever pay off the loan.

So, we will choose option D. (Answer)

6 0

3 years ago

Can anyone please help with this question?

vitfil [10]

The middle section is n(n+1)

The top row is n+2

The bottom row is 2n+1

So the rule for the total number of tiles will be the sum of the above rules...

s(n)=n(n+1)+n+2+2n+1

s(n)=n^2+n+n+2+2n+1

s(n)=n^2+4n+3

6 0

4 years ago