11. brother = ???
???- 12 = 14
14+12=26
brother is 26.
12. 21.35 - 8.95 = 12.4
cost of colored pencils = $12.40
13. 37- 8 = 29
14. $95 - $73 = $22
Answer:
see explanation
Step-by-step explanation:
The y- intercept is at (0, 6) ⇒ c = 6
The x- coordinate of the vertex is at the midpoint of the zeros, that is
m =
=
= - 2
Since the zeros are x = - 3 and x = - 1 then the factors are (x + 3), (x + 1) and
f(x) = a(x + 3)(x + 1) = a(x² + 4x + 3)
Comparing with f(x) = ax² + 8x + 6 ⇒ a = 2
Thus
f(x) = 2x² + 8x + 6
Substitute m = - 2 into the equation for value of n
n = 2(- 2)² + 8(- 2) + 6 = 8 - 16 + 6 = - 2
Hence
c = 6, m = - 2, a = 2, n = - 2
Answer:
d is the ans
Step-by-step explanation:
D is the answer
An increase from 1950 to 200 means the orange bar needs to be taller than the blue bar.
An increase from 2000 to 2050 means the gray bar needs to be taller than the orange bar.
There are 3 countries that have this, Australia, Canada and Egypt.
The answer is C. three.
Answer:
- The value of k is 12.57
- Radius of a seventeenth-century cannonball is 2.999 inches which can be rounded off to 3
Step-by-step explanation:
Let s be the surface area and r be the radius
Then according to given statement
s∝r²
Removing the proportionality symbol introduces k, the constant of proportionality
![s = kr^2](https://tex.z-dn.net/?f=s%20%3D%20kr%5E2)
Now
A soap bubble with a 0.75 in. radius has a surface area of approximately 7.07 square inches.
Putting in the equation
![7.07 = k (0.75)^2\\7.07 = k * 0.5625\\k = \frac{7.07}{0.5625}\\k = 12.5688..\\k = 12.57](https://tex.z-dn.net/?f=7.07%20%3D%20%20k%20%280.75%29%5E2%5C%5C7.07%20%3D%20k%20%2A%200.5625%5C%5Ck%20%3D%20%5Cfrac%7B7.07%7D%7B0.5625%7D%5C%5Ck%20%3D%2012.5688..%5C%5Ck%20%3D%2012.57)
The euqation beomes
![s = 12.57r^2](https://tex.z-dn.net/?f=s%20%3D%2012.57r%5E2)
Putting s = 113.1 in the equation
![113.1 = 12.57r^2\\r^2 = \frac{113.1}{12.57}\\r^2 = 8.99761...\\\sqrt{r^2} = \sqrt{8.9976..}\\r = 2.9996..](https://tex.z-dn.net/?f=113.1%20%3D%2012.57r%5E2%5C%5Cr%5E2%20%3D%20%5Cfrac%7B113.1%7D%7B12.57%7D%5C%5Cr%5E2%20%3D%208.99761...%5C%5C%5Csqrt%7Br%5E2%7D%20%3D%20%5Csqrt%7B8.9976..%7D%5C%5Cr%20%3D%202.9996..)
Hence,
- The value of k is 12.57
- Radius of a seventeenth-century cannonball is 2.999 inches which can be rounded off to 3