K Developers from two towns, A and B, want to connect their towns to a highway. To minimize the cost of construction, the developers must find the location for the highway entrance that minimizes the total distance, d1 + d2, from the two towns to the highway. Let x be as shown. Find both the value of x that solves the developers' problem and the minimum total distance. What value of x minimizes the total distance? x= miles (Round to 1 decimal place.) What is the minimum total distance? ☐ miles (Round to 1 decimal place.) City A 14 City miles Road (aty Road (1) 15 miles 10-* Highway 10 miles

8) (7 x 104) ( = 4 x 103 (Show work here.) 7 x 104 and 4 x 103 are scientific notations. Solve for y

For gases under certain conditions, there is a relationship between the pressure of the gas, its volume, and its temperature as given by what is commonly called the ideal gas law.The ideal gas law isPV = mRTwhereP = absolute pressure of the gas (Pa)V = volume of the gas (m3)m = mass (kg)R = gas constantT = absolute temperature (kelvin )What are the appropriate units for R if the preceding equation is to be homogeneous in units?

4.35 L He/1 x 1 mole He/22.4 L He. When we solve this problem we get 0.19419642. Apply the significant figure rules to the final answer.   Then explain why the final answer makes sense using the example answer attached to help.

A high-­‐speed    chase    captured    on    a    surveillance    camera    showed    the    suspect   running    a    red    light    at    an        The    suspect    vehicle    collided    with    a    vehicle    that    had    just    turned    into    the    path    of    his    car.    The    tape    shows    that    it    took    the    car    0.546    s    to    cross    the    intersection,    which    was    measured    to    be    41.2    ft.    The    posted    speed    limit    was    25    mph.    Determine    whether    the    suspect    was    speeding    at    the    moment    he    collided    with    the    second    vehicle.

To determine the density of atmospheric nitrogen, Strutt removed the oxygen, water, carbon dioxide, and argon from the air and then filled an evacuated glass tube with the remaining gas.   He determined that a mass of 0.20389 g of nitrogen has a density of 1.25718 g/L under standard conditions of temperature and pressure.  What is the volume of the glass tube in cm3?

An instrument uses potassium bromide as one of the compounds in the analysis of noble gases of a planet.  Potassium bromide has a specific gravity of 2.38 and a molecular weight of 119 grams per mole [gmol]. Assume the spacecraft has a liquid sample of potassium bromide onboard that fills a 1.35-gallon [gal] container.  What is the amount of the potassium bromide sample in the container, in units of moles [mol]?

Someone answered this already but made it unreadable and i could not understand anything.

What is the maximum height achieved if a 0.600 kg0.600 kg mass is thrown straight upward with an initial speed of 80.0 m⋅s−1?80.0 m⋅s−1?

In an experiment, a student was asked to measure the densities of liquid acetone and metallic chromium. He was given a pycnometer which weighed 26.880 g empty. When filled with water and stoppered, the mass was recorded as 54.992g at 28C. The pycnometer was cleaned and filled with acetone. The mass was 49.137 g. Again, the flask was cleaned and dried. Into it were added some chunks of chromium and the total was found to weight 78.666 g. Leaving the chromium in the pycnometer, it was then filled with acetone. The flask, metal and acetone were found to weigh 95.199 g. From this data, calculate the density of acetone and the density of chromium (show all your calculations).