 # High school math questions and answers

Recent questions in Secondary Paganellash 2021-11-23 Answered

### A sample of tritium-3 decayed to $$\displaystyle{94.5}\%$$ of its original amount after a year. What is the half-life of tritium-3? nuais6lfp 2021-11-23 Answered

### A regular pentagonal prism has 9-cm base edges. A larger, similar prism of the same material has 36-cm base edges. How does each indicated measurement for the larger prism compare to the same measurement for the smaller prism? a. the volume b. the weight. Tammy Fisher 2021-11-23 Answered

### What is the surface area of this cylinder? Use $$\displaystyle\pi\approx{3.14}$$ and round your answer to the nearest hundresth. What is the surface area of this rectangular pyramid?  philosphy111of 2021-11-23 Answered

### The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of $$\displaystyle{2}\ {}\frac{{cm}^{{2}}}{\min}$$. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 1$$\displaystyle{00}{c}{m}^{{2}}$$? Charles Cisneros 2021-11-23 Answered

### A flowerpot falls off a windowsill and passes the window of the story below. Ignore air resistance. It takes the pot 0.380 s to pass from the top to the bottom of this window, which is 1.90 m high. How far is the top of the window below the windowsill from which the flowerpot fell? luipieduq3 2021-11-23 Answered

### List the first five terms of the sequence. $$\displaystyle{a}_{{1}}={6},{a}_{{n}}+{1}=\frac{{a}_{{n}}}{{n}}$$ protisvitfc 2021-11-23 Answered

### A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground. (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? (b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? oppvarmet16 2021-11-23 Answered

### For 589-nm light, calculate the critical angle for the following materials surrounded by air: (a) cubic zirconia, (b) flint glass, and (c) ice kursval7z 2021-11-23 Answered

### A student is examining a bacterium under the microscope. The E. coli bacterial cell has a mass of m=0.100 fg (where a femtogram, fg, is $$\displaystyle{10}^{{-{15}}}$$ g) and is swimming at a velocity of v=1.00um/s, with an uncertainty in the velocity of 5.00%. E. coli bacterial cells are around 1 um ($$\displaystyle{10}^{{-{6}}}$$ m) in length. The student is supposed to observe the bacterium and make a drawing. However, the student, having just learned about the Heisenberg uncertainty principle in physics class, complains that she cannot make the drawing. She claims that the uncertainty of the bacterium's position is greater than the microscope's viewing field, and the bacterium is thus impossible to locate. What is the uncertainty of the position of the bacterium? danrussekme 2021-11-23 Answered

### The probability density function of X, the lifetime of a certain type of electronic device (measured in hours), is given by $$f(x)=\begin{cases}\frac{10}{x^2}&x>10\\0&x\le10\end{cases}$$ (a) Find $$\{X>20\}$$. (b) What is the cumulative distribution function of X? (c) What is the probability that, of 6 such types of devices, at least 3 will function for at least 15 hours? What assumptions are you making? luipieduq3 2021-11-23 Answered

### How do you solve $$\displaystyle{d}={\frac{{{1}}}{{{2}}}}{a}{t}^{{2}}$$? enfurezca3x 2021-11-23 Answered

### If a proton and an electron are released when they are $$\displaystyle{2.0}\times{10}^{{-{10}}}{m}$$ apart (a typical atomic distance), find the initial acceleration of each particle. Monincbh 2021-11-23 Answered

### At the surface of Jupiter's moon lo, the acceleration due to gravity is $$\displaystyle{g}={1.81}\frac{{m}}{{s}^{{{2}}}}$$. A watermelon weighs 44.0 N at the surface of the earth. (a) What is the watermelon's mass on the earth's surface? (b) What would be its mass and weight on the surface of lo? smellmovinglz 2021-11-23 Answered

### The mass of Venus is 81.5% that of the earth, and its radius is 94.9% that of the earth. (a) Compute the acceleration due to gravity on the surface of Venus from these data. (b) If a rock weighs 75.0 N on earth, what would it weigh at the surface of Venuse? inlays85k5 2021-11-23 Answered

### The current in a 50 mH inducator is known to be $$\displaystyle{i}={120}{m}{A},{t}\le{0};$$ $$\displaystyle{i}={A}{1}{e}^{{-{500}{t}}}+{A}{2}{e}^{{-{2000}{t}}}{A},{t}\geq{0}$$. The voltage across the inducator (passive sign convention) is 3 V at $$\displaystyle{t}={0}$$. a) Find the expression for the voltage across the inducator for $$\displaystyle{t}{>}{0}$$. b) Find the time, greater then zero, when the power at the terminals of the inductor is zero. Maaghu 2021-11-23 Answered

### A proton is placed in a uniform electric field of $$\displaystyle{2.75}\times{10}^{{{3}}}{\frac{{{N}}}{{{C}}}}$$ Calculate: a) the magnitude of the electric force felt by the proton b) the proton’s acceleration; c) the proton’s speed after $$\displaystyle{1.00}\mu{s}$$ in the field, assuming it starts from rest. varaderiyw 2021-11-23 Answered

### To multiply: the given binomial using FOIL method. $$\displaystyle{\left({\frac{{{2}}}{{{3}}}}{a}-{b}^{{{2}}}\right)}{\left({\frac{{{2}}}{{{3}}}}{a}^{{{2}}}+{b}^{{{2}}}\right)}$$ Maaghu 2021-11-23 Answered

### Refer the given output and answer the following questions; a) Identify which statistical analyses have been performed? b) Interpret each of the given tables. $\begin{array}{cc}Table \ 1: \ Statistical\ Analysis & & & \\ \hline Variables & Beta & Sig & VIF \\ \hline Organizational \ Culture & 0.253 & 0.000 & 1.124 \\ Job \ Stress & -0.101 & 0.078 & 3.542 \\ Intrinsic \ Motivation & 1.213 & 0.005 & 12.389 \\ \hline Dependent \ variable \ is \ employee\ performance \\ \hline \end{array}$ $\begin{array}{cc}Table \ 2: \ Statistical \ Analysis & \\ \hline Variables & Composite \ Reliability & AVE \\ \hline Attitude & 0.78 & 0.23 \\ Behaviour & 0.52 & 0.78 \\ Consumption & 0.92 & 0.50 \\ Overall & 0.98 & 0.44 \\ \hline \end{array}$ Jessica Scott 2021-11-23 Answered

### $$\displaystyle{y}{''}{\left({x}\right)}+{4}{y}'{\left({x}\right)}+{3}{y}{\left({x}\right)}={9}{x}^{{2}}-{20}+{30}{e}^{{{2}{x}}}$$,$$\ y(0)=0,\ y'(0)=2$$ I'm stuck on finding a particular integral for the non-homogeneous R.H.S.: $$\displaystyle{9}{x}^{{2}}-{20}+{30}{e}^{{{2}{x}}}$$ So $$\displaystyle{y}={y}_{{c}}+{y}_{{p}}$$. I found $$\displaystyle{y}_{{c}}={C}_{{1}}{e}^{{-{x}}}+{C}_{{2}}{e}^{{-{3}{x}}}$$ (where $$\displaystyle{C}_{{1}}$$ and $$\displaystyle{C}_{{2}}$$ are constants) But what would I try for $$\displaystyle{y}_{{p}}$$?? If it helps, I know how to do it if it's just a polynomial (i.e. for a 2nd degree polynomial): you set $$\displaystyle{y}_{{p}}={A}{x}^{{2}}+{B}{x}+{C}$$ and $$\displaystyle{y}'_{{p}}={A}{x}+{B}$$ and $$\displaystyle{y}{''}_{{p}}={A}$$ But in this case we have different things. What would I need to do? I would really appreciate your help. Tha in advance! xnlghtmarexgo 2021-11-23 Answered

### Find whether the series diverges and its sum: $$\displaystyle{\sum_{{{n}={1}}}^{\infty}}{\left(-{1}\right)}^{{{n}+{1}}}{\frac{{{3}}}{{{5}^{{n}}}}}$$

Turning back to high school math can be essential to understand engineering tasks that you may encounter later. The high school math problems have all the basics that have good equations and answers, which will let you see things clearly. The list of high school math questions below will help you identify your weaknesses and find various solutions. Taking a look at high school math equations, you will see certain parts that can be applied to Physics. In either case, the best way is to learn by example, which is why high school math problems with answers will be essential.
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