HS Sample Set 13, Round 5 from NSB
What is the square of the complex number $$1 - 3i$$?
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A differentiable function \(f\) of \(x\) has domain the closed interval from –5 to 4 and range the closed interval from 3 to 12. If \(f'(x)<0\) for all \(x\) in the domain, what is \(f(-5)\)? W) –5 X) 3 Y) 4 Z) 12
W: W) –5
X: X) 3
Y: Y) 4
Z: Z) 12
Answer: Z) Z) 12
What stain, performed with crystal violet dye, provides the most common way of classifying bacteria?
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What is the term for mobile genetic elements that can move from one location to another in a cell’s genome?
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Which of the following surface reservoirs on Earth contains the most carbon? W) Soil X) Atmosphere Y) Vegetation Z) Ocean
W: W) Soil
X: X) Atmosphere
Y: Y) Vegetation
Z: Z) Ocean
Answer: Z) Z) Ocean
Which of the following pairs of metamorphic rocks can both form from shale? W) Slate and phyllite X) Schist and marble Y) Quartzite and migmatite Z) Gneiss and anthracite
W: W) Slate and phyllite
X: X) Schist and marble
Y: Y) Quartzite and migmatite
Z: Z) Gneiss and anthracite
Answer: W) W) Slate and phyllite
An astronaut weighs 500 newtons on planet X, which has gravitational acceleration 4 m/s². If he travels to planet Y, which has gravitational acceleration 12 m/s², what is his new weight in newtons?
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Jan heats a kilogram of an unknown solid at 25 kJ/min. The solid’s temperature rises for 2 min, then it melts for 1.5 min, then its temperature rises for 6 min. In kJ/kg, what is the heat of fusion for this substance?
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What intermolecular force is responsible for the secondary structure of proteins?
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Rank the following three straight-chain alkanes in increasing order of their carbon-chain lengths: 1) Propane; 2) Butane; 3) Methane.
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Scientists at Oak Ridge National Lab are using the Titan supercomputer to model diesel engines. Unlike the Otto cycle, the Diesel cycle relies on what to ignite the fuel?
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Identify all of the following three statements that are TRUE of a copper catalyst process converting CO₂ to ethanol in acid: 1) CO₂ is oxidized; 2) This is homogeneous catalysis; 3) The reaction has many side products.
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A torque integrated over an angle describes which quantity? W) Force X) Work Y) Angular momentum Z) Linear momentum
W: W) Force
X: X) Work
Y: Y) Angular momentum
Z: Z) Linear momentum
Answer: X) X) Work
Consider a box containing unknown charges. By performing a test with a known charge at one point outside the box, which of the following can be determined? 1) Number of charges inside; 2) Net charge inside; 3) Sign of each charge.
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If exactly 14 diagonals of a particular convex polygon contain the same vertex, how many total sides does the polygon have?
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Evaluate the infinite sum \(\sum_{n=1}^\infty \frac{40}{5n}\).
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A waning gibbous moon describes which part of the lunar cycle? W) Third quarter moon to new moon X) Full moon to third quarter moon Y) First quarter moon to full moon Z) New moon to first quarter moon
W: W) Third quarter moon to new moon
X: X) Full moon to third quarter moon
Y: Y) First quarter moon to full moon
Z: Z) New moon to first quarter moon
Answer: X) X) Full moon to third quarter moon
Telescope A has twice the light-gathering power of telescope B. If they are the same type, what is the ratio of the diameter of A to B?
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In a sub-diffraction Raman platform, “sub-diffraction” refers to the diffraction of what?
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The DES at Fermilab studies the properties of what energy in the universe thought to counteract gravity?
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Rank the following in increasing basicity: 1) Chloride; 2) Cyanide; 3) Water.
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2-Methylpropene reacts with HBr to form 2-bromo-2-methylpropane. Which act as nucleophiles? 1) Bromide; 2) Pi bond; 3) Sigma bond.
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Which of the following plant hormones plays a role in fruit ripening? W) Gibberellins X) Abscisic acid Y) Cytokinins Z) Brassinosteroids
W: W) Gibberellins
X: X) Abscisic acid
Y: Y) Cytokinins
Z: Z) Brassinosteroids
Answer: W) W) Gibberellins
Identify all of the following that pass through the glomerulus into filtrate in a healthy nephron: 1) Albumin; 2) Glucose; 3) Red blood cell.
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The mass of an oscillator is doubled. In which of the following systems will the period NOT significantly change? 1) Pendulum; 2) Spring; 3) Orbiting satellite.
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Given \(\mu_0=1.26\times10^{-6}\) SI, a 10 A current flows through a wire. To the nearest whole μT, what is the magnetic field 1 m from the wire?
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What gas law implies that the volume of an ideal gas is directly proportional to its temperature?
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Identify all of the following nuclides likely to undergo β⁻ decay: 1) Carbon-14; 2) Nitrogen-13; 3) Polonium-210.
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What is the name of the climate phenomenon in which high pressure builds in the Western Pacific, causing the trade winds to weaken or reverse?
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An oceanic slab subducts at 8 cm/yr. How far, in meters, will it subduct in 500 years?
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Which type of signaling best describes cellular communication via hormones? W) Exocrine X) Endocrine Y) Paracrine Z) Autocrine
W: W) Exocrine
X: X) Endocrine
Y: Y) Paracrine
Z: Z) Autocrine
Answer: X) X) Endocrine
Identify all of the following conditions that apply to a population in Hardy-Weinberg equilibrium: 1) Selection pressure; 2) Gene flow; 3) Random mating.
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Solve for \(x\): $$\log_2(x + 5) = 5$$
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An isosceles trapezoid with integer side lengths has bases of 24 and 40. What is the minimum possible length of its shortest side?
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Research indicates plant mortality in the moist tropics can be largely attributed to what two factors? W) Carbon glut and hydraulic failure X) Carbon starvation and hydraulic failure Y) Carbon glut and overhydration Z) Carbon starvation and overhydration
W: W) Carbon glut and hydraulic failure
X: X) Carbon starvation and hydraulic failure
Y: Y) Carbon glut and overhydration
Z: Z) Carbon starvation and overhydration
Answer: X) X) Carbon starvation and hydraulic failure
Lattice QCD predicts which of the following experimental observations? W) Color confinement X) Electron capture Y) Beta plus decay Z) Nuclear fission
W: W) Color confinement
X: X) Electron capture
Y: Y) Beta plus decay
Z: Z) Nuclear fission
Answer: W) W) Color confinement
What is the boundary between an isolated volume of spacetime and the rest of the universe?
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What name is given to the regions of the asteroid belt that contain few asteroids and correspond to orbital resonances with Jupiter?
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Sodium metal is produced by the electrolysis of sodium chloride in what special type of cell?
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What is the oxidation state of oxygen in hydrogen peroxide?
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If \(f(x)=4x^2 - x + 3\), what is \(f(-2)\)?
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An airplane travels at 380 mph relative to Earth. Reflection of the Sun off the plane illuminates a spot that moves between two houses in 15 s. To the nearest tenth of a mile, how far apart are the houses?
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Stones made of precipitated bile products can cause digestive problems. What organ can be surgically removed to remedy this?
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Based on modern taxonomy, how many domains of life are there?
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A Leyden jar, with metal coating inside and outside a glass jar, is an early form of what circuit component?
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Given \(\varepsilon_0=8.9\times10^{-12}\) F/m and a charge of \(8\times10^{-11}\) C at the center of a spherical surface, to the nearest volt-meter, what is the electric flux through the surface?
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