Hi! If you use the slope-intercept form, you will need to know the slope of the line and the y-intercept. One of the points is on the y axis (0,1), giving you the intercept. Therefore you only need to calculate the slope. Recall that slope is rise over run (change in y divided by change in x). Your...

Actinium (Ac) would have the most mass. Recall that a mole (6.022x1023) of atoms would weigh in grams what the mass of the atom is in AMU. Since none of those listed are diatomic and you have the same number of moles for each, the most massive would be the material with the largest atomic mass.   Hope...

Good evening! "C" cannot be the answer based on the information in the question. He paddled at 4 kph out and then 2 kph in. Therefore, the answer must be "A" or "B". Let us first presume the times are the same (B). Roger paddled a distance out of 4 per unit time and...

A few points of clarification:   ATP is an energy carrying molecule, not energy itself. The energy is carried in the bond of the third phosphate group. It is produced by the breakdown of glucose in respiration. In aerobic respiration, most ATP is generated in the mitochondria, however...

Good evening. The first thing is to look at the hydronium/hydroxide ratio. Since each molecule will yield 1 hydronium or 1 hydroxide ion, you have a 1:1 molar ratio. At this point you should be able to use C1V1=C2V2.   While not a dilution problem specifically, the principle is similar;...

3(x+4)=4x+6   Distribute the 3 on the left   3x+12=4x+6   Subtract 3x from both sides   12= x + 6   Subtract 6 from both sides   x=6   The perimeter of the triangle is the sum of the three...

Good evening! How many planets is sometimes argued; some say 8, others still say 9. In order from the sun (central star):   Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune and up until a few years ago: Pluto   Hope this helps...

Hi! The trouble here is converting the minutes and seconds of the angles. Complimentary angles total 90 degrees. There are 60 minutes in one degree, so you actually have 89 degrees and 60 minutes. There are 60 seconds in a minute, so now you have 89 degrees, 59 minutes, and 60 seconds. Now you can...

Good morning! Considering the s and p orbitals, the number of valence electrons will increase as you move towards the noble gasses on the right side. The transitional metals can be multivalent (different numbers of valence electrons) and do not always follow this rule as that orbital is actually...

Good evening! You first need to find the midpoint of one of the segments. I would suggest segment BC since there is no change in the y-coordinate to deal with. The midpoint is equally distant from both points, so you would take the average of the two points. Again, without any change in the y, you...

Good morning Amanda. Some instructors will drop the lowest score in calculating a final grade. This is an example of a similar situation.   Let us look at the starting point: If 5 exams were taken and the average was 73, you can calculate the total number of points: 5*73=365. Bully...

Good afternoon. Basically this question is asking if 6% of the farmland is 28,000,000 acres, what is the total farmland area.   The equation would be something like this: 0.06(x)=28,000,000 where x is the total number of acres of farmland.   If you divide both sides of...

Good evening. Think through the question to answer it: a bus leaves every 20 minutes (17+3). You are not interested in waiting 0:01-10:00. Technically if you arrived at the moment the bus left (0:00), you would need to wait for the next bus. A person waiting 10:01-20:00 is what you are looking...

Hi! This is more of a logic and thought problem than a statistical one. Assuming the customer picked a pen of different colors each time (black, blue, red, green), that would be 4 draws. The fifth draw the customer would draw a second pen of one of the colors, so your answer would be 5. Now, the...

Good afternoon. The brackets indicated a nested parenthetical system. Using PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) form of order of operations, brackets "[]" would be a subset of parentheses.   [125-0.50(100)]/[100-0.50(100)]-1   You...

Good evening. The first statement can be written mathematically this way: y=4x-6 The second part can be written as x+y=14   If you substitute the first for the second (the 4x-4 for the y in the second equation), you get   x + (4x-6) = 14 and you can simplify   5x...

Good evening. SO4 is the most common form of the sulfur/oxygen polyatomic anions, so it is referred to as sulfate. The cation is called by its regular name, so this molecule is Barium sulfate.   I hope this helps   Mike

Good evening. There are several ways to solve problems like this. This is how I would approach it:   Let x equal the total number of employees   3 out of 16 and 5 out of 8 (or 10 out of 16) have an opinion. 13/16 employees have an opinion, 3/16 do not have any opinion.   Therefore:...

You are correct in that ligaments hold bone to bone in a joint, but they also are the connective tissue that holds organs in place. Dictionaries define ligaments as tough, flexible, fibrous tissues that connect bones at a joint or hold organs in place.   Hope this helps  ...

Good evening! This is commonly referred to as a "dirt" problem. D=rt (distance =rate times time). Since the time is the same, rearranging the equation we get t=D/r, so the distance upstream divided by the rate is equal to the distance downstream divided by the rate. The rate downstream...