Answer:
a. Simplify each term. 49/2+0
Add 49/2 and 0.
49/2
The result can be shown in multiple forms.
Exact Form:
49/2
b. Replace the variable a with −13 in the expression.
−(−1/3)²b²−3(−1/3)³b²
Replace the variable b with −1 in the expression.
−(−1/3)²(−1)²−3(−1/3)³(−1)²
Simplify each term. −1/9+1/9 = 0
Combine fractions. 0
Step-by-step explanation:
Answer:
(a) 3118=61*t
(b) The amount of time the roller coaster is in motion is 51.11 seconds.
Step-by-step explanation:
Speed is a magnitude that expresses the relationship between the space traveled by an object, the time used for it and its direction. In other words, speed is associated with the change in position of a body over time and can be expressed as:
Then the distance traveled can be expressed as:
distance=speed*time
(a) If x represents the total time that the roller coaster is in motion for each ride, the average speed is 61 feet per second and the distance is 3118 feet then the expression to represent the situation is:
<u><em>3118=61*x</em></u>
(b) To calculate the amount of time the roller coaster is moving, you simply need to solve the expression found in (a). Dividing 61 to both sides:
51.11 seconds=x
<u><em>
The amount of time the roller coaster is in motion is 51.11 seconds.</em></u>
Answer:
99
Step-by-step explanation:
First give it as a product of prime factors. Divide 9801 with prime numbers. The first picture divides 9801 fron prime numbers. Prime numbers are 2,3,5,7, 11. We can only divide using 3 and 11. So we get 3⁴ and 11². The second picture shows how I got the square root of 9801. Square root is ½. So we multiply each power with ½ so we finally get 99. You can recheck for yourself using a calculator. It is 99.
The perimeter of the rectangle is 64
In 2010, a city's population was 1,405,233 and it was decreasing at a rate of 1.1%. At this rate when will the city's population fall below 1,200,000?
c. 2036