Answer:
(-7, 1)
Step-by-step explanation:
Add the x and y values separately which is across from your screen to get the function which is (-7, 1).
Answer:
Therefore,
![r=\sqrt[3]{\frac{3V}{4\pi }}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%20%7D%7D)
is the required r
Step-by-step explanation:
Given:
Volume of inside of the sphere is given as
where r is the radius of the sphere
To Find:
r =?
Solution:
We have
......Given
![3\times V=4\pi r^{3} \\\\\therefore r^{3}=\frac{3V}{4\pi } \\\\\therefore r=\sqrt[3]{\frac{3V}{4\pi }} \textrm{which is the expression for r}](https://tex.z-dn.net/?f=3%5Ctimes%20V%3D4%5Cpi%20r%5E%7B3%7D%20%5C%5C%5C%5C%5Ctherefore%20r%5E%7B3%7D%3D%5Cfrac%7B3V%7D%7B4%5Cpi%20%7D%20%5C%5C%5C%5C%5Ctherefore%20r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%20%7D%7D%20%5Ctextrm%7Bwhich%20is%20the%20expression%20for%20r%7D)
Therefore,
is the required r
Answer:
See below.
Step-by-step explanation:
The 2 functions have the same output value when x = 7 ( that is what m(x) = p(x) at x = 7 means).
In the value of bonds, the symbol "M" means "thousands.
Therefore, 10 M = 10,000$
So, the customer bought a coupon with 10,000$ and the expected annual interest is 7.5% of the coupon's value.
Calculating the value of interest is simple, just multiply the interest rate (7.5%) by the original value of the coupon to know how much interest she will collect each year.
Interest collected each year = (7.5 / 100) x 1000 = 750$
Answer:
41.6 centimeters
Step-by-step explanation:
The right triangle formula: c^2 = a^2 + b^2
c is the hypotenuse side of the triangle
a and b are the legs of the triangle.
Find the hypotenuse : c^2 = (24)^2 + (34)^2
c = square root of ( (24)^2 + (34)^2)
c = square root of ( 576 + 1,156)
c = 41.6173
