Answer:
-3
Step-by-step explanation:
Point A is half way between -17 and 5. This is span has a total distance of 17 + 5 = 22. Half way is 11 units from -17 or 5. So -17 + 11 = -6.
Point B is halfway between A at -6 and 0. This is a distance of 6. So halfway is 3 units away at -3.
Answer:
Freezer A is better option as price per cubic foot is less for Freezer A
Step-by-step explanation:
Data provided in the question:
Measure of Freezer A = 1 ft × 1 ft × 5 ft
Measure of Freezer B = 1.5 ft × 1.5 ft × 4 ft
Price of Freezer A = $300
Price of Freezer B = $600
Now,
Volume of Freezer A = 1 ft × 1 ft × 5 ft
= 5 ft³
Volume of Freezer B = 1.5 ft × 1.5 ft × 4 ft
= 9 ft³
Now,
Price per cubic foot for Freezer A = $300 ÷ 5 ft³
= $60/ft³
Price per cubic foot for Freezer B = $600 ÷ 9 ft³
= $66.67/ft³
Hence,
Freezer A is better option as price per cubic foot is less for Freezer A
Angle C is Equal to 84 as well as angle A.
Answer:
21.4m
Step-by-step explanation:
Circumference : x diameter
is approximately 3.142
3.142 x 6.8 = 21.3656
Nearest tenth = 21.4m
Answer:
Answer B ![(-\infty,1)U(1,2]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C1%29U%281%2C2%5D)
Step-by-step explanation:
Notice that the quotient of f(x)/g(x) is:
![h(x)=\frac{\sqrt{2-x} }{x-1}](https://tex.z-dn.net/?f=h%28x%29%3D%5Cfrac%7B%5Csqrt%7B2-x%7D%20%7D%7Bx-1%7D)
therefore, this new function imposes conditions due to the fact that it has a square root in the numerator and a binomial in the denominator both with the variable x. Then, in order for the root in the numerator to be defined, the argument inside the root must be larger than or equal to zero. That is:
![2-x\geq 0\\2\geq x\\x\leq 2](https://tex.z-dn.net/?f=2-x%5Cgeq%200%5C%5C2%5Cgeq%20x%5C%5Cx%5Cleq%202)
So, this condition must be satisfied by the x-values of the domain.
Then we have the binomial in the denominator, which in order to be defined needs to be different from zero. Notice that the only x-value that could cause problems (render zero) is:
![x-1=0\\x=1](https://tex.z-dn.net/?f=x-1%3D0%5C%5Cx%3D1)
Then, ![x\neq 1](https://tex.z-dn.net/?f=x%5Cneq%201)
So we have to eliminate the number 1 from the previous subset that required x smaller than or equal to 2.
The way to represent this Domain is then: ![(-\infty,1)U(1,2]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C1%29U%281%2C2%5D)