What physical quantity is represented by the slope of the graph velocity vs time?
Acceleration
This type of matter has a definite volume but no definite shape
What is water
What are different versions of a gene called?
Alleles
The sum of three consecutive odd numbers is 57. Find the numbers.
The sum of three consecutive odd numbers is 57. Find the numbers.
The three consecutive odd numbers are 17, 19, and 21. You can find these by solving the equation 2x+1+2x+3+2x+5=57
A man is caught on the king's property. He is brought before the king to be punished. The king says, "You must give me a statement. If it is true, you will be killed by lions. If it is false, you will be killed by the trampling of wild buffalo. If I can't figure it out, I'll have to let you go." Sure enough, the man was released. What was the man's statement?
"I will be killed by trampling of wild buffalo." This stumped the king because if it's true, he'll be killed by lions, which would render the statement not true. If it's a lie, he'd be killed by wild buffalo, which would make it a truth. Since the king had no solution, he had to let the man go.
What is the mass, in kg, of a 5 kg rock on a planet with a gravitational acceleration 1/2 that of the Earth's?
What is 5 kg
Define exothermic reaction
A reaction that releases heat to the surroundings
These structures are responsible for protein synthesis.
Ribosomes
In triangle DEF, angle D is a right angle. If sin(E) = , what is the value of sin(F)?
What is 20/29
You're at a fork in the road in which one direction leads to the City of Lies (where everyone always lies) and the other to the City of Truth (where everyone always tells the truth). There's a person at the fork who lives in one of the cities, but you're not sure which one. What question could you ask the person to find out which road leads to the City of Truth?
"Which direction do you live?" Someone from the City of Lies will lie and point to the City of Truth; someone from the City of Truth would tell the truth and also point to the City of Truth.
A boat heads directly eastward across a river at 12 m/s. If the current in the river is flowing at 5 m/s due south, what is the magnitude of the boat's resultant velocity.
-7m/s
-8.5m/s
-13m/s
-17m/s
-13 m/s
What is the name of the mole constant?
Avogadro's number
A cell contains enzymes, DNA, ribosomes, mitochondria and a plasma membrane. The cell could be from:
A. bacteria.
B. an animal but not a plant.
C. a plant but not an animal.
D. any kind of organism.
E. a plant or an animal.
E
In the xy-plane, the line determined by the points (c, 3) and (27, c) intersects the origin. Which of the following could be the value of c?
What is 9
A girl meets a lion and unicorn in the forest. The lion lies every Monday, Tuesday and Wednesday, and the other days, he speaks the truth. The unicorn lies on Thursdays, Fridays and Saturdays, and the other days of the week, he speaks the truth. "Yesterday, I was lying," the lion told the girl. "So was I," said the unicorn. What day is it?
Thursday. The only day they both tell the truth is Sunday, but today can't be Sunday because the lion also tells the truth on Saturday (yesterday). Going day by day, the only day one of them is lying and one of them is telling the truth with those two statements is Thursday.
A 4 kg ball is attached to a 1.5 m long string and whirled in a horizontal circle at a constant speed 5 m/s. How much work is done on the ball during one period?
A. 9 J
B. 4.5 J
C. 2 J
D. 0 J
0 J
Describe the difference between an ionic and covalent bond
Ionic bonds involve the transfer of electrons between atoms, while covalent bonds involve the sharing of electrons between atoms
Malaria is an infectious disease caused by a single-celled eukaryotic organism, carried by female mosquitoes. The mosquito is the:
A. pathogen. B. vector. C. agent. D. disease. E. virus.
B. Vector
the equation y= ax^2+bx+c is graphed on the xy plane, and reaches its maximum at (-3,8). What is the equation of a+ b+c?
A) -8
B) 8
C) 16
D) 24
-8
four people are crossing a bridge, but they need a torch—but they just have one that only lasts 15 minutes. Alice can cross in one minute, Ben in two minutes, Cindy in five minutes and Don in eight minutes. No more than two people can cross at a time; and when two cross, they have to go at the slower person's pace. How do they get across in 15 minutes?
Alice and Ben cross first in two minutes, and Alice crosses back alone with the torch in one minute. Then, the two slowest people, Cindy and Don, cross in eight minutes. Ben returns in two minutes, and Alice and Ben return in two minutes. They just made it in 15 minutes exactly.
Alice and Bill are at the top of a cliff of
height H. Both throw a ball with initial
speed v0, Alice straight down and Bill
straight up. The speeds of the balls when
they hit the ground are vA and vB. If there
is no air resistance, which is true?
1) vA < vB
2) vA = vB
3) vA > vB
4) impossible to tell
2.
Bill’s ball goes up and comes back down to Bill’s level. At that point, it is moving downward with v0, the same as Alice’s ball. Thus, it will hit the ground with the same speed as Alice’s ball.
To create a 20% saline solution, how many liters of a 40% saline solution must be mixed with 4 liters of a 5% saline solution?
3 liters
Organisms that reproduce sexually exhibit zygotic, gametic, or sporic meiosis. One way to determine the type of life cycle an organism has is by
A. observing embryonic development.
B. comparing the diploid and haploid forms of the organism.
C. determining when in the life cycle fertilization occurs.
D. determining if gametes are multicellular or unicellular.
The correct choice is B
Life cycles are characterized by the timing of meiosis and the characteristics of the diploid and haploid generations.
In triangle ABC, the measure of ∠B is 90°, BC=16, and AC=20. Triangle DEF is similar to triangle ABC, where vertices D, E, and F correspond to vertices A, B, and C, respectively, and each side of triangle DEF is 1/3 the length of the corresponding side of triangle ABC. What is the value of sinF?
sinF=3/5 or .6
Triangle ABC is a right triangle with its right angle at B. Therefore, AC is the hypotenuse of right triangle ABC, and AB and BC are the legs of right triangle ABC. According to the Pythagorean theorem,
AB=square root (20^2−16^2)= square root (144)=12
Since triangle DEF is similar to triangle ABC, with vertex F corresponding to vertex C, the measure of angle∠F equals the measure of angle∠C. Therefore, sinF=sinC. From the side lengths of triangle ABC,
sinF=opposite side /hypotenuse=AB/AC=12/20=3/5
You have two ropes that each take an hour to burn; however, they burn at inconsistent rates. How can you measure 45 minutes? (You can light one or both ropes at one or both ends at the same time.)
Because they both burn inconsistently, you can't just light one end of a rope and wait until it’s 75 percent of the way through. But this is what you can do: Light the first rope at both ends and light the other rope at one end, all at the same time. The first rope will take 30 minutes to burn (even if one side burns faster than the other, it still takes 30 minutes). The moment the first rope goes out, light the other end of the second rope. Because the time elapsed of the second rope burning was 30 minutes, the remaining rope will also take 30 minutes; lighting it from both ends will cut that in half to 15 minutes, giving you 45 minutes altogether.