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February 2024
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Discrete Mathematics Q&A Archive of February 17, 2024

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February 17 of 2024

• Small launch vehicle (1 flight, 1 failure) • Payload 900 kg Module gross mass 11,400 kg • Module empty mass 1,400 kg • Exhaust velocity 2754 m/sec Staging pattern - 1st stage - 4 modules 2nd stage - 2 modules - 3rd stage - 1 module - 4th stage - Star 48V (gross mass 2200 kg, empty…

pavos, sin contar las gallinas se tiene 5 aves, sin contar los pavos tenemos 7 aves y sin contar los patos tenemos 4 aves. ¿Cuántos patos hay en la granja? A) 6 B) 4 C) 9 D) 5 E) 3

One vehicle powered by a liquid-chemical rocket and the other by a solid-chemical rocket, when they are both used for acceleration of a \( 10,000 \mathrm{~kg} \) payload in a zerogravity field. Both vehicles have a total initial mass of \( 510,000 \mathrm{~kg} \). The liquidpropellant rocket…

The US Space Shuttle used to orbit spacecraft in to LEO consists of a rust-colored external tank (ET), two white, slender Solid Rocket Boosters (SRBs), and the orbiter itself. At lift off, see illustration, all engines are operating providing a total thrust of roughly 30 MN (for detailed data,…

Payload: Command Service Module: \( 30,332 \mathrm{~kg} \) Payload: Lunar Module: \( 13,696 \mathrm{~kg} \) Payload: Experiments and 3 dudes: \( 1000 \mathrm{~kg} \) Stage 1: F1 engines, LOX-Kerosene propellants Gross Mass: \( 2,286,217 \mathrm{~kg} \) Empty Mass: \( 135,218 \mathrm{~kg} \) \(…

The face connection points of a 240 V three face delta service identified as AB and C the AMB face coil has a neutral center tap what is the voltage strap between point C and this neutral tap

(a) Given that the determinant of matrix \( \mathrm{Q}=\left(\begin{array}{cc}2 b-1 & 4 \\ -3 b & -5\end{array}\right) \) is 15 , find the (i) value of \( b \), (ii) inverse of matrix Q.

You open the junction box at the top of the motor you see the lines connected to terminals T1 T2, and T3. You would expect the incoming line voltage for this motor to be.??

The peak value of an AC sign wave is 120 V what is the effective value rounded

Which one of the following values exactly matches the RMS value of an AC signal peak to peak, average effective or peak

In certain balance, three phase system each line current is 5 A each line voltage is 220 V what is the approximate real power if the power factor is .7

If plotted, the voltage or current produced by an alternator forms, a curve called a

The four wire, three phase 220 V delta system includes a center tap of winding one a single phase 120 V load may be safely connected between which two wires

An AC sign wave has an RMS value of hundred100 V. What is the average of the waveform?

Which of the following statements is true concerning an AC circuit that contains both resistance and inductance 1 The current leg, the voltage 2 The current will lead the voltage 3 The current and the voltage will be in phase 4 Dave voltage will leg the current

sample of 12 packets is drawn and their weights are found to be (in kgs) 0.49, 0.48, 0.47, 0.48, 0.49, 0.50, 0.51, 0.49, 0.48, 0.50, 0.51, 0.48 . Test if the average packing can be taken as 0.5kg at 5% level of significance

which option shows the front elevation and which option shows the side elevation of this 3D shape. A B c D E F

the weight W kg of a metal bar varies jointly as it's length L metre and the square of its diameter d mm. if W=140 when d=4 and L=54, find d in terms of W and L

In each part, determine all values of n that satisfy the statement.(a) C_{n} is a subgroup of A_{n}(b) D_{n} is a subgroup of A_{n}(c) C_{n} is a subgroup of D n + 1 .(d) C_{n} is a subgroup of S n + 1

simplify (x²yz^-²(x^-⁵y²z)/(yz)⁷^/²

simplest way to write(3×1000)+5million -480÷5

Imagine you received a scholarship that would cover only 3 courses out of the 11 courses related to your field of study at your university. How many ways will you have to choose the three courses and how many ways can you choose for the remaining two courses if one course- English (out of the…

if the first three terms of the expansion ( 1 + px) ^n in ascending power of x are 1 + 20x + 160x², find the value of n and p

the set N, Z, Q denote the set of natural numbers, the set of all integers and the set of all rational numbers respectively. list the elements of the following sets . (a) A = (x : x E N, x² - 5x + 6 = 0). (b) A = (x : x E Z , 2x² - 3x + 1 = 0). (c) A = ( x: x E Q, 6x² - 13x + 6 = 0)

in preparing a table for a class of 38 students the following facts were taken into consideration: 25 students take History, 27 take French, 28 take Agricultural science, 20 take both History and French, 23 take both French and Agricultural science, while 21 take both History and Agricultural…

Worksheet Sta. I Sub:- pathe Atition Serange Vedicully ard ovid (1) \( 24+3= \) \( 615+22=-2) 3 \) (4) \( 46+35= \) (5) \( 36+1= \)

The class is asked to plant saplings all along the boundary of their school playground the saplings are to be planted 40 cm apart.How many saplings would be required given the playground is 60 cm long and 40 cm wide

6. Anya sweeps the kitchen floor that has length \( 10 \mathrm{~m} \) and breadth \( \mathbf{7} \mathrm{m} \). How much space does she sweep?

-6. Anya sweeps the kitchen floor that has length \( 10 \mathrm{~m} \) and breadth \( 7 \mathrm{~m} \). How much space does she sweep? 7. Find the length of the side of a square handkerchief with area \( 100 \mathrm{~cm}^{2} \). 8. Find the length of the given rectangular photo frame. Length \(…

5. Fill in the blanks for a square. \begin{tabular}{|l|l|l|} \hline \multicolumn{2}{|c|}{ Side length } & \multicolumn{2}{|c|}{ Perimeter } & \multicolumn{1}{|c|}{ Area } \\ \hline \multicolumn{1}{|c|}{\( 12 \mathrm{~cm} \)} & a. & b. \\ \hline c. & \multicolumn{1}{|c|}{\( 16 \mathrm{~m} \)} &…

\begin{tabular}{|l|l|l|} \hline \multicolumn{2}{|c|}{ Side length } & \multicolumn{2}{|c|}{ Perimeter } & \multicolumn{1}{c|}{ Area } \\ \hline \multicolumn{1}{|c|}{\( 12 \mathrm{~cm} \)} & a. & b. \\ \hline c. & \multicolumn{1}{|c|}{\( 16 \mathrm{~m} \)} & d. \\ \hline e. & f. &…

\begin{tabular}{|l|l|l|} \hline \multicolumn{1}{|c|}{ Side length } & \multicolumn{1}{|c|}{ Perimeter } & \multicolumn{1}{c|}{ Area } \\ \hline \multicolumn{1}{|c|}{\( 12 \mathrm{~cm} \)} & a. & b. \\ \hline c. & \multicolumn{1}{|c|}{\( 16 \mathrm{~m} \)} & d. \\ \hline e. & f. &…

\begin{tabular}{|l|l|l|l|} \hline \multicolumn{1}{|c|}{ Length } & Breadth & Perimeter & \multicolumn{1}{|c|}{ Area } \\ \hline \( 3 \mathrm{~cm} \) & \( 2 \mathrm{~cm} \) & a. & b. \\ \hline c. & \( 10 \mathrm{~cm} \) & d. & \( 200 \mathrm{sq.} \mathrm{cm} \) \\ \hline e. & \( 20 \mathrm{~m}…

Draw the truth table and use the given symbolisation to state the truth value calculation. C: Cancun is the capital of the Mexico - False E: El Dorado is the capital of the Mexico - False M: Mexico City is the capital of Mexico - True U: Washington, D.C. is the capital city of the USA -…

Difference of Speculative and critical thinking

Example: Calculate the Gradient vector and Hessian matrix at the point \( (1,2) \) \[ f(\mathrm{x})=x_{1}^{3}+x_{2}^{3}+2 x_{1}^{2}+3 x_{2}^{2}-x_{1} x_{2}+2 x_{1}+4 x_{2} \] ?GinRK

the greatest number that will divide 76,112,172and184,so as to leave remainder 40is k×k×3

How much profit did he make on his investment

The peak value of an AC sign wave is 120 V what is the effective value rounded