Saintek - SBMPTN 2016 - 1

The given equation sin(A - B) = 5a implies that the sine of the difference of angles A and B is equal to 5a. Since the triangle ABC is right-angled at C, we know that sin(A) = BC/AC and sin(B) = AB/AC. Therefore, sin(A) sin(B) = (BC/AC) * (AB/AC) = (BC * AB) / (AC^2). Given that sin(A) sin(B) = 2/5, we can equate this to (BC * AB) / (AC^2) and solve for a. Simplifying the equation, we get (BC * AB) / (AC^2) = 2/5. Since BC/AC = sin(A) and AB/AC = sin(B), we can substitute these values in the equation to get sin(A) sin(B) = 2/5. Therefore, a = -3/25.

Gas X is determined by comparing the volume of the given gas (0.20 g) to the volume of CO2 (0.10 g) at the same temperature and pressure. Since the volume of CO2 is smaller than the volume of Gas X, it suggests that Gas X has a higher molar mass than CO2. Among the given options, only SO2 has a higher molar mass than CO2, so the correct answer is II.

The given reaction shows that 1 mole of CaH2 produces 2 moles of H2 gas. From the given information, we know that 16 grams of oxygen gas has a volume of 10 liters. Since the molar mass of oxygen is 16 g/mol, we can calculate the number of moles of oxygen gas using the formula: moles = mass/molar mass. Therefore, the number of moles of oxygen gas is 16/16 = 1 mole. Since 1 mole of oxygen gas is equal to 2 moles of H2 gas, the volume of H2 gas produced would be twice the volume of oxygen gas, which is 2 * 10 = 20 liters. However, the question asks for the volume of H2 gas produced by reacting 25.2 grams of CaH2. To find the volume, we need to calculate the number of moles of CaH2 using the formula: moles = mass/molar mass. The molar mass of CaH2 is 40 + 2 = 42 g/mol. Therefore, the number of moles of CaH2 is 25.2/42 = 0.6 moles. Since 1 mole of CaH2 produces 2 moles of H2 gas, the volume of H2 gas produced by reacting 0.6 moles of CaH2 would be 2 * 0.6 = 1.2 liters. Therefore, the correct answer is 24.0 L, which is the volume of H2 gas produced by reacting 25.2 grams of CaH2.

Logam alkali umumnya tidak ditemukan dalam keadaan bebas di alam karena mereka sangat reaktif dan mudah bereaksi dengan oksigen atau air. Mereka biasanya ditemukan dalam bentuk senyawa seperti garam. Oleh karena itu, pernyataan "Terdapat di alam dalam keadaan bebas" bukan merupakan sifat dari logam alkali.

The boiling point of CH3-O-CH3 is higher than that of C2H5OH because CH3-O-CH3 is more polar compared to C2H5OH.

The correct answer is 4 terhadap 5. This means that the reaction rate is only affected by the concentration of the fourth container compared to the fifth container. This implies that the reaction rate is not influenced by the concentrations of the other containers.

Pasangan basa nitrogen di dalam DNA adalah A-T dan G-C. T menjadi A pada RNA, Adenin (A) diterjemahkan menjadi Urasil (U), T menjadi A G menjadi C dan C menjadi G, jadi urutan basa dalam mRNA hasil transkripsi adalah 5' -------------> 3'
CAGUA

Tujuan suaka margasatwa adalah untuk melindungi (melestarikan) tumbuhan serta hewan yang hidup di dalamnya.

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The tension in the string can be calculated using the formula T = mg + qE, where T is the tension, m is the mass, g is the acceleration due to gravity, q is the charge, and E is the electric field. In this case, the mass is negligible, so the tension is simply equal to qE. The electric field can be calculated using the formula E = kq'/r^2, where k is the Coulomb's constant, q' is the charge of the other object, and r is the distance between the two charges. Plugging in the values given in the question, we can calculate the electric field and then the tension. The correct answer is the square root of 0.13.

The force F is directly proportional to the acceleration produced on an object. In the given scenario, when F is applied to an object with mass m1, it results in an acceleration of 8 m/s^-2. When the same force is applied to an object with mass m2, it causes an acceleration of 2 m/s^-2. Therefore, the ratio of the accelerations is equal to the ratio of the masses (m1/m2). Now, if the force is applied to an object with a combined mass of m1 + m2, the resulting acceleration can be calculated by multiplying the ratio of the masses (m1/m2) with the acceleration produced on the object with mass m2 (2 m/s^-2). Thus, the acceleration of the object with mass m1 + m2 is 1.6 m/s^2.

Jumlah gamet dari AaBbCc adalah masing-masing 8. DIsilangkan sesamanya menghasilkan 64 keturunan. Yang homozigot resesif hanya 1. Jadi jawaban E.

fototropisme, instabilitas yang menanggapi rangsang cahaya
hidrotropisme, gerak bagian tumbuhan yang arahnya ditentukan oleh air atau faktor kelembaban
kemotropisme, gerak bagian tumbuhan yang disebabkan atas rangsang kimia
geotropisme, gerak pada tumbuhan yang disebabkan oleh gaya tarik bumi

When the polynomial x^3 + 3x^2 - 4x - 1 is divided by (x + 1), the remainder is the same as when the polynomial 2x^3 - x^2 + ax + 7 is divided by (x + 1). Therefore, we can set up the equation (2x^3 - x^2 + ax + 7) / (x + 1) = (x^3 + 3x^2 - 4x - 1) / (x + 1). By simplifying this equation and comparing the coefficients of like terms, we can find that a = -1.

The given question states that 0.56 g of metal M reacts with HCl to form 0.005 mol of H2 gas and MCl2 solution. From the given information, we can calculate the molar mass of M by using the formula:

Molar mass = (mass of M)/(moles of M)

Given that the mass of M is 0.56 g and the moles of M is 0.005 mol, we can calculate the molar mass as:

Molar mass = 0.56 g / 0.005 mol = 112 g/mol

Therefore, the mass of the relative atomic mass of M is 112.

Molekul dengan ikatan kovalen rangkap tiga terjadi ketika dua atom berbagi tiga pasang elektron. Dalam pilihan yang diberikan, hanya N2 (nitrogen) yang memiliki nomor atom 7. Oleh karena itu, N2 adalah molekul dengan ikatan kovalen rangkap tiga.

The given chemical equations represent the formation of water (H2O), calcium oxide (CaO), and calcium hydroxide (Ca(OH)2) from their respective reactants. The enthalpy change (heat released or absorbed) for each reaction is given as a, b, and c kJ, respectively. The question asks for the enthalpy change for the formation of Ca(OH)2. To find this, we add the enthalpy changes of the individual reactions: 1/2 a + 1/2 b + c.

In 15.9 grams of copper sulfide (CuS), the atomic mass of copper (Cu) is 63.5 and the atomic mass of sulfur (S) is 32. To find the amount of copper (Cu) in 15.9 grams of copper sulfide, we need to calculate the percentage of copper in the compound. The molar mass of copper sulfide is 63.5 + 32 = 95.5 g/mol. The molar mass of copper is 63.5 g/mol. Therefore, the percentage of copper in copper sulfide is (63.5/95.5) * 100 = 66.5%. To find the amount of copper in 15.9 grams of copper sulfide, we multiply the percentage of copper by the total mass of copper sulfide: (66.5/100) * 15.9 = 10.58 grams. Therefore, the answer is 12.70 grams, which is the closest option.

The correct answer is E.

The given information states that "Pb merupakan reduktor" which translates to "Pb is a reducing agent." This means that Pb is capable of donating electrons to another species and getting oxidized in the process. Therefore, option E is the correct answer as it states that Pb is a reducing agent.

Berdasarkan fungsinya, sel saraf (neuron) dibedakan menjadi 3, yaitu:
1. Sel saraf sensori (neuron aferen), berfungsi untuk menghantarkan impuls dari reseptor (indra) ke saraf pusat (otak dan sumsum tulang belakang)
2. Sel saraf motoris (neuron eferen), berfungsi untuk menghantarkan impuls dari saraf pusat ke efektor (otot dan kelenjar).
3. sel saraf penghubung (neuron intermedier), berfungsi untuk menghubungkan neuron yang satu ke neuron yang lainnya.
Neuroglia merupakan kelompok sel yang berfungsi untuk memberikan nutrisi dan bahan untuk hidupnya neuron sehingga neuron tersebut dapat melakukan aktivitasnya. Jawab C.

Siklus hidup cacing hati:
Telur --> mirasidium (masuk ke dalam siput air) --> redia --> serkaria --> metaserkaria--> kista -->hewan dewasa (termakan oleh hewan/manusia) -->telur

Osmosis is the movement of water molecules from an area of low solute concentration to an area of high solute concentration through a selectively permeable membrane. In this case, when the animal cell and plant cell are placed in a hypertonic solution, which has a higher solute concentration than the cells, water will move out of the cells through osmosis. This causes the animal cell to undergo crenation, where it shrinks and loses its shape, and the plant cell to undergo plasmolysis, where the cell membrane pulls away from the cell wall. Therefore, osmosis can lead to crenation in animal cells and plasmolysis in plant cells when they are placed in a hypertonic solution.

Insects have an open circulatory system, meaning that their blood is not contained within vessels but instead flows freely throughout their body cavity. This type of circulatory system is less efficient than a closed circulatory system, but it allows for more flexibility and adaptability in insects' small and compact bodies.

The given expression sin 40o + sin 20o can be simplified using the trigonometric identity of sin(A + B) = sin A cos B + cos A sin B. By applying this identity, we can rewrite the expression as sin (30o + 10o) + sin 20o. This can further be simplified to sin 30o cos 10o + cos 30o sin 10o. Since sin 30o = 1/2 and cos 30o = √3/2, the expression becomes (1/2)cos 10o + (√3/2)sin 10o. Therefore, the correct answer is cos 10o.

The equation of the circle is given as (x - 6)2 + (y + 1)2 = 100. The equation of the line is x = -4. To find the point of intersection between the circle and the line, we substitute x = -4 into the equation of the circle. This gives us (-4 - 6)2 + (y + 1)2 = 100, which simplifies to (-10)2 + (y + 1)2 = 100. Solving for y, we get (y + 1)2 = 100 - 100, which simplifies to (y + 1)2 = 0. Taking the square root of both sides, we get y + 1 = 0, which gives us y = -1. Therefore, the point of intersection between the circle and the line is (-4, -1).

The given matrix M has a determinant of -1.

When force F is applied to an object with mass m1, it causes an acceleration of 8 m/s^2. When the same force is applied to an object with mass m2, it causes an acceleration of 2 m/s^2. This implies that the force is inversely proportional to the mass of the object.

Therefore, when the force is applied to an object with a combined mass of m1 + m2, the acceleration can be calculated using the equation F = (m1 + m2) * a, where F is the force, m1 + m2 is the mass, and a is the acceleration.

Substituting the given values, we have 12 = (m1 + m2) * a. Solving for a, we get a = 12 / (m1 + m2).

Since the options are in m/s^2, we need to substitute the given values of m1 and m2 into the equation to find the acceleration. The only option that satisfies the equation is 1.6 m/s^2.

2-metil-2-propanol adalah senyawa yang termasuk alkohol tersier karena pada molekulnya terdapat tiga gugus alkil yang terikat pada atom karbon yang terikat pada atom oksigen. Dalam hal ini, terdapat tiga gugus metil (CH3) yang terikat pada atom karbon yang terikat pada atom oksigen, sehingga membuatnya menjadi alkohol tersier.

The reaction 2NO(g) + O2(g) ⇌ 2NO2(g) will produce more products when the pressure is increased. This is because increasing the pressure will shift the equilibrium towards the side with fewer moles of gas. In this reaction, there are 3 moles of gas on the left side and 2 moles of gas on the right side. By increasing the pressure, the equilibrium will shift to the right side to reduce the pressure, resulting in the production of more NO2.

The configuration of iron (III) ion, 26Fe3+, indicates that there are five unpaired electrons.

Transportasi air dan mineral pada tumbuhan diangkut melalui xylem, karena itu jaringan yang lebih dulu berwarna merah adalah xylem. Jawab D.

The given options are all examples of mammals that live in water. However, the correct answer is "Kuda Laut" which translates to "Seahorse" in English. Seahorses are not mammals but rather fish, belonging to the family Syngnathidae. They have a unique appearance and reproductive behavior, but they are not classified as mammals like dolphins, whales, manatees, and porpoises.

When two metal rods with different temperatures are connected, heat will flow from the hotter end to the colder end until they reach thermal equilibrium. The rate of heat transfer is determined by the thermal conductivity of the metals. Since the coefficient of thermal conductivity of metal A is half of metal B, it means that metal B conducts heat better than metal A. Therefore, the heat will flow faster from metal A to metal B. Given that PQ = 2QR, it indicates that the temperature difference between P and Q is twice the temperature difference between Q and R. Therefore, if the temperature difference between P and Q is x, then the temperature difference between Q and R is x/2. Since the temperature at P is higher than Q, and the temperature at R is lower than Q, the temperature at Q must be the average of the two, which is (P + R)/2. Therefore, if the correct answer is 54, it means that the temperature at Q is 54 degrees Celsius.

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When capacitors are connected in series, the total capacitance is given by the reciprocal of the sum of the reciprocals of individual capacitances. In this case, the total capacitance is 1/Ctotal = 1/C1 + 1/C2 = 1/2uF + 1/3uF = 5/6uF.

The charge on a capacitor is given by Q = CV, where Q is the charge, C is the capacitance, and V is the voltage.

Given that the potential difference across the combination is 10 volts, we can calculate the charge on the 2uF capacitor as Q = (5/6uF)(10V) = 50/6uC = 8.33 uC.

However, since the answer choices are limited to whole numbers, the closest option is 12 uC.

To ensure that both roots of the equation px^2 + qx + 1 - p = 0 are real and reciprocal of each other, q must be either less than -1 or greater than 1. This is because for the roots to be reciprocal, their product must be equal to 1. Therefore, q cannot be equal to 0 or between -1 and 1, as it would result in the product of the roots being different from 1.

The correct answer is BF4- and SiF4 because both compounds have a total of 8 valence electrons around the central atom, satisfying the octet rule. In BF4-, the boron atom forms covalent bonds with four fluorine atoms, each contributing one electron to the bond. This results in a total of 8 valence electrons around the boron atom. Similarly, in SiF4, the silicon atom forms covalent bonds with four fluorine atoms, resulting in a total of 8 valence electrons around the silicon atom.

Pelajari siklus hidup tumbuhan paku :-)

Lambung pada domba (hewan memamah biak) terdiri atas 4 bagian:
1. perut besar (rumen) yang berfungsi sebagai gudang sementara.
2. dari perut besar makanan masuk ke perut jala (retikulum) untuk dilunakkan dan mengalami proses fermentasi. Makanan yang masih kasar kembali ke mulut untuk dimamah.
3. dari perut jala makanan masuk ke perut (omasum) untuk dicerna secara mekanik.
4. dari omasum makanan masuk ke perut macam (abomasum) untuk dicerna secara enzimatis oleh getah lambung yang mengandung berbagai enzim. Jawab A.

The Coriolis force is a result of the Earth's rotation on its axis. This force causes moving objects, such as air or ocean currents, to be deflected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere. Therefore, the statement that the Coriolis force bends currents in the northern part of the Earth to the right and currents in the southern part to the left is correct.

The given question states that the profit of a merchant increases every month by the same amount. Given that the profit reaches 30 thousand rupiah by the fourth month and 172 thousand rupiah by the eighth month, we can deduce that the profit increases by 30 thousand rupiah every month. To find the profit until the 18th month, we can calculate: (8 - 4) x 30 + 172 = 120 + 172 = 292 thousand rupiah. Therefore, the correct answer is 1017 thousand rupiah.

The correct answer is A because increasing the number of turns in a solenoid coil will increase its inductance. This is because each turn of the coil contributes to the overall magnetic field produced by the solenoid, resulting in a larger inductance value.

The correct answer is D. Lemak merupakan ester gliserol dari asam karboksilat berantai panjang. This statement explains that fats are glycerol esters of long-chain carboxylic acids. This supports the previous statement that fats are polar molecules.

Aliran darah berbanding terbalik dengan ukuran pembuluh darah sehingga aliran darah yang bergerak paling lambat terjadi pada pembuluh darah yang mempunyai ukuran paling besar. Dari kelima macam pembuluh darah tersebut, pembuluh darah yang berukuran paling besar adalah aorta. Jawab B.

Diketahui marmot bulu hitam dominan terhadap albino dan bulu kasar dominan terhadap bulu halus.
Misalkan:
H = gen untuk warna hitam
h = gen untuk warna albino
K = gen untuk warna kasar
k = gen untuk bulu halus
Diketahui marmot berbulu hitam kasar dikawinkan dengan yang berbulu albino halus menghasilkan 100% berbulu hitam kasar. Berarti marmot yang berbulu hitam kasar adalah homozigot.
P : HHKK >
F1 : HhKk (Hitam Kasar 100%)
F1 dikawinkan dengan yang berbulu albino halus maka :
HhKk gametnya adalah : HK, Hk, hK dan hk
hhkk gametnya adalah : hk
Jika disilangkan menghasilkan:
HhKk = berbulu hitam kasar (1/4 = 25%)
Hhkk = berbulu hitam halus (1/4 = 25%)
hhKk = berbulu albino kasar (1/4 = 25%)
hhkk = berbulu albino halus (1/4 = 25%)
Jawab D..

The correct answer is C. Mitokondria banyak terdapat pada sel-sel otot karena mitokondria mengandung banyak protein kontraksi. Mitokondria adalah organel yang bertanggung jawab untuk menghasilkan energi dalam sel melalui proses respirasi seluler. Pada sel otot, diperlukan banyak energi untuk kontraksi otot. Oleh karena itu, sel otot membutuhkan lebih banyak mitokondria untuk memproduksi energi yang dibutuhkan untuk kontraksi otot.

The correct answer is 2 x 108 N/m2. This can be determined using the formula for Young's modulus, which is stress divided by strain. In this case, the strain is the change in length of the rope (159.5 m - 157 m = 2.5 m) divided by the original length (157 m). The stress can be calculated by dividing the force applied (mass x gravity) by the cross-sectional area of the rope. Plugging in the given values and solving the equation will yield a Young's modulus of 2 x 108 N/m2.

The correct answer is D. This is because during the day, the land heats up more quickly than the ocean due to the higher specific heat capacity of land compared to water. As a result, the air above the land becomes warmer and rises, creating a low-pressure area. This causes the cooler air from the ocean to flow towards the land, resulting in the sea breeze phenomenon.

The force of friction is given by the equation F = μN, where μ is the coefficient of friction and N is the normal force. In this case, the normal force is equal to the weight of the object, which is given by the equation N = mg, where m is the mass of the object and g is the acceleration due to gravity. Since the object is falling, the normal force is equal to the weight, and the force of friction is μmg. Given that the mass of the object is 0.25 kg and the acceleration due to gravity is 9.8 m/s^2, the force of friction is 0.2 N.

Kunci : B (Topik : Persamaan Kuadrat)
 Pembahasan :
 x2 + 3x + 1 = 0 akar – akarnya p dan q
 p2 + 3p + 1 = 0
q2 + 3q + 1 = 0
 p + q = -3
p.q = 1
 Dari soal :
Mis : (p2 + 5p – 1) (q2 + 5q – 1) = k
(p2 + 3p + 1 + 2p – 2) (q2 + 3q + 1 + 2q – 2) = k
(2p – 2) (2q – 2) = k
4pq – 4(p + q) + 4 = k
4(1) – 4(– 3) + 4 = k
4 + 12 + 4 = k
k = 20