Response:
the solution can be found in the image
Initially, we convert the given radius of the wheel into meters, resulting in 0.325 m. Next, we compute the circumference.
C = 2πrr
By inserting the values,
C = 2π(0.325 m) = 2.04 m
Given a distance of 40 m for the road, we calculate the total number of complete revolutions as follows:
n = 40/2.04 m = 20.
Answer:
x = -4/45
Step-by-step breakdown:
180x=2(30÷3)+17-5•11+2÷1
We first need to simplify the right side. The initial step involves the parentheses
180x=2(10)+17-5•11+2÷1
Next, we multiply and divide, proceeding from left to right after the equals sign.
180x=20+17-5•11+2÷1
180x=20+17-55+2÷1
180x=20+17-55+2
Next, we add and subtract, moving from left to right in relation to the equals sign.
180x=37-55+2
180x =-18+2
180x = -16
Then divide each side by 180
180x/180 = -16/180
x = -4/45
It is necessary for the value of m to exceed that of n. When binomials are multiplied, the middle term emerges from combining the outside and inside products. Thus, bx = –nx + mx, simplifying further leads to b = –n + m. When adding numbers that have opposite signs, we subtract their absolute values and retain the sign of the number with the larger absolute value. Since b is positive, m must indeed possess a greater absolute value.
0.027%. A bank promotes an APR of 5.5% for personal loans. To address this problem, we will utilize the Annual Percentage Yield formula. In this formula, r signifies the interest rate in decimal form, and n represents the number of compounding periods per year. First, we convert the interest rate into decimal format. Next, we will calculate APY while compounding monthly using n = 12 and r = 0.055 within the APY formula. We proceed to do the same for quarterly compounding by substituting n = 4 and r = 0.055 into the APY formula. To determine the difference, we subtract the quarterly APY from the monthly APY. Therefore, the APY for monthly compounding is 0.027% higher than for quarterly compounding.
