Answer:
3
Step-by-step explanation:
The lights and pole form a right triangle. The question gives the hypotenuse as 5 and one side length as 4.
Use the Pythagorean theorem:
.
Plug in what you are given: 


b = 3
Or you could recognize that it was a pythagorean triple: 3, 4, 5
<span>Looking at the choices closely, you can find one relation or sameness with the given situation m*8=24. Isolating “m” gives you a new equation m=24/8 which is related to equation m=25/8. It has same m value on the left of the equation and it contains 2 whole numbers and arithmetic operation (/) on the right of the equation.</span>
Answer:
c
Step-by-step explanation:
Using Pascal's triangle, the expansion, although EXTREMELY lengthy, will help you find the 7th term. I am going to type out the expansion only up til the 7th term (although there are actually 10 terms because we are raised to the power of 9). If you would like to learn how to use Pascal's Triangle for binomial expansion, you will need to visit a good website that explains it because it's just too difficult to do it via this website.
The expasion is as follows (up to the 7th term):

That last term is the 7th term. You find out its value by multiplying all the numbers together and adding on the c^3d^6. Again those come from Pascal's triangle, and it's one of the coolest math things ever. I encourage you to take the time to explore how it works.
Answer:
the interest earned= 93.401
and the future value of an annuity= 493.401
Step-by-step explanation:
Given Data:
Interest rate= 7%
time,t = 3 years
weekly payment, P= 400
At the end of 3 years, final investment A= ?
n= 52 as it is weekly
As per the interest formula
A= P(1+r/n)^nt
Putting value in above equation
= 
= 493.401
Interest earned = A-P
= 493.401-400
= 93.401 !
Answer:
The answer is "
".
Step-by-step explanation:
please find the complete question in the attached file.

![=\frac{1}{10} (\frac{x^3}{3})^{5}_{-5}\\\\=\frac{1}{30}[5^3+5^3]\\\\=\frac{2}{30}(125)\\\\=\frac{1}{15} \times 125\\\\=\frac{25}{3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B10%7D%20%28%5Cfrac%7Bx%5E3%7D%7B3%7D%29%5E%7B5%7D_%7B-5%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B30%7D%5B5%5E3%2B5%5E3%5D%5C%5C%5C%5C%3D%5Cfrac%7B2%7D%7B30%7D%28125%29%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B15%7D%20%5Ctimes%20125%5C%5C%5C%5C%3D%5Cfrac%7B25%7D%7B3%7D)