As part of a weight reduction? program, a man designs a monthly exercise program consisting of? bicycling, jogging, and swimming. he would like to exercise at most 22 ? hours, devote at most 9 hours to? swimming, and jog for no more than the total number of hours bicycling and swimming. the calories burned per hour by? bicycling, jogging, and swimming are? 200, 394? , and 256? , respectively. how many hours should be allotted to each activity to maximize the number of calories? burned? what is the maximum number of calories he will? burn? how many hours should be allotted to each activity to maximize the number of calories? burned?
_ hours for bicycling _ hours for jogging _ hours for swimming
how many maximum calories did they burn?

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4

a mantle plume is an upwelling of abnormally hot rock within the earth's mantle. as the heads of mantle plumes can partly melt when they reach shallow depths, they are thought to be the cause of volcanic centers known as hotspots and probably also to have caused flood basalts.

step-by-step explanation:

answer is (b.

164 ft2)

a base  

18

b base  

7

h height  

8

0 and 5 minutes

step-by-step explanation:

given that one morning eight buses arrive late by the number of minutes given below:

0 8 2 6 9 2 0 7 8

write these in ascending order

0   0 2 6 7 8 8 9

in the afternoon two more buses arrive at the bus stop say by x and y minutes late.

total number of buses = 10

median = average of 4th and 5th after arranging in ascending order

since 4th entry is 6, the values of x and y should be below 6

also given 0 is the mode so either x or y or both should be 0 because then only 0 gets the maximum frequency and hence mode

thus we have

0 0 0 2 6 7 8 8 9 and another unknown entry which is below 6.

since median is 3.5, we have the unknown entry to be 5 only because then only median =( 2+5)/2

thus the after noon buses were late by 0 and 5 minutes.