Answer:
G) 16.6
Step-by-step explanation:
We can use the pythagoriam theroem to solve the problem
+ 49 = 324
= 275
a = 16.6
Answer:
-2.26 lb
Step-by-step explanation:
Let the dog's initial weight be d.
Then, one year later, the dog weighs 3.73 lb less, and thus weighed d - 3.73 lb.
During the next year, the dog gained 1.47 lb, so now weighs d - 3.73 + 1.47 lb, or
d - 2.26 lb. This indicates a total weight loss of 2.26 over these two years.
Roots with imaginary parts always occur in conjugate pairs. Three of the four roots are known and they are all real, which means the fourth root must also be real.
Because we know 3 and -1 (multiplicity 2) are both roots, the last root 
is such that we can write
There are a few ways we can go about finding , but the easiest way would be to consider only the constant term in the expansion of the right hand side. We don't have to actually compute the expansion, because we know by properties of multiplication that the constant term will be 
.
Meanwhile, on the left hand side, we see the constant term is supposed to be 9, which means we have
so the missing root is 3.
Other things we could have tried that spring to mind:
- three rounds of division, dividing the quartic polynomial by 
, then by 
twice, and noting that the remainder upon each division should be 0
- rational root theorem
Answer:
Volume = 11 1/4 feet cubed
90 cubes can be added to fill the prism.
Step-by-step explanation:
(L)(W)(H) = volume
(2 1/2)(3)(1 1/2) = 11 1/4 ft cubed
1 cube is 1/2 a foot so 2 1/2 ft is 5 cubes, 3 ft is 6 cubes, and 1 1/2 ft is 3 cubes.
(5)(6)(3) = 90 cubes
The compound inequality for the temperature T of a refrigerator that is at least 35°F and at most 41°F is 35 ≤ T ≤ 41
A compound inequality has two inequality statements joined together
The the temperature of the inequality is represented by T
The temperature T of a refrigerator is at least 35°F and at most 41°F
This means that the temperature falls between 35°F and 41°F
Since the temperature, T, is at most 41°F
This can be mathematically interpreted as
T ≤ 41
The temperature, T, is at least 35°F
35 ≤ T
Combining the two inequality statements 35 ≤ T and T ≤ 41, the compound statement formed is:
35 ≤ T ≤ 41
The compound inequality for the temperature T of a refrigerator that is at least 35°F and at most 41°F is 35 ≤ T ≤ 41
Learn more here: brainly.com/question/11316045
