Engineers need to calculate a minimum safe radius for highway curves. To make a sharp curve safer, the road can be banked, or elevated. If a curve is designed for a speed of 40 miles per hour and is banked with slope m, then a minimum radius R is computed by the function R(m) = 1600/15m+2

Q1: Using the function R(m) = 1600/15m+2, evaluate R(0.1) to find the minimum radius for a safe curve with a slope of 0.1 feet. Round your answer to the nearest tenth.

A curve banked with a slope of 0.1 feet should have a minimum radius of feet.

Q2: If a curve has a radius of 320 feet, what is its slope? Use the function to solve. Write your answer as a decimal.

According to the function, this curve will be banked with a slope of feet.

step-by-step explanation:

divide, then simplify your answer.

1. make -15.66 ÷   5.8 a fraction. then divide.

2. simplify.  

3. final answer.  

i believe your answer is 99.7% of 7-year-old children are between 46.6 inches and 49.5 inches tall.

48 / 6 = x

in this case, x will equal the amount of money in each card!

x therefore will be 8.

trent had $8 in each birthday card.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places