Mathematics Questions and Answers

"One teaspoon is equal to how many drops? A. 15 B. 60 C. 10 D. 30"

Find the circumference and area of a circle with a diameter of 14 inches. Leave your answers in terms of π. A. C=14π; A=49π B. C=7π; A=28π C. C=14π; A=28π D. C=7π; A=49π

Rewrite the expression 12x+8 to find an equivalent expression. Show three possible equivalent expressions. What do the rewritten expressions tell you about the relationships among the quantities?

How many faces, edges, and vertices does a triangular prism have?

What are the three methods used for solving a system of equations? Which method do you prefer and why?

# 2.4.3 Quiz: Using Congruence Postulates ## Question 5 of 10 ### 2 Points In **△JKL** and **△PQR**, if **JK = PQ**, **LJ = LP**, and **LK = LQ**, then **△JKL** must be congruent to **△PQR**. - **A.** True - **B.** False **SUBMIT**

which angle in def has the largest measure?​ # 0 A: 2D ## 0 B: 2E ## 0 C: 2F ## 0 D. Cannot be determined

"Factorize fully: 12x−8"

Convert $52^{\circ} \mathrm{C}$ to degrees Fahrenheit. If necessary, round your answer to the nearest tenth of a degree. Here are the formulas. $$ \begin{aligned} & C=\frac{5}{9}(F-32) \\ & F=\frac{9}{5} C+32 \end{aligned} $$ $52^{\circ} \mathrm{C}=\square^{\circ} \mathrm{F}$ $$ x \quad 6 $$

"A sweater originally priced at $40 is on sale for $30. What percent has the sweater been discounted? A. 25% B. 33% C. 70% D. 75%"

What is the median of this data set? 14, 16, 18, 21, 34, 60 A. 19.5 B. 21 C. 20.5 D. 18

How do you rotate 90 degrees counterclockwise about the origin? Kuta Software - Infinite Geometry # All Transformations ## Graph the image of the figure using the transform 1) rotation 90° counterclockwise about the origin

# 20. Write $6 \frac{7}{8}$ as an improper fraction three different ways.

If 1.5x=6, what is x?

Solve the inequality: 15x+60<240

Ecpi reading teas question using a pencil and paper, copy the number grid above. replace the even numbers with dots. draw lines to connect the dots but do not draw any lines that cross each other. replace the numbers that are multiples of 3 with circles. earse the remaining numbers and rotate the figure 45 counterclockwise.

# What is the distance between point A and point B? My Progress

What does 6x mean? A. 6 times x B. 6 plus x C. 6 minus x D. 6 divided by x

Divide 42x3−21x2+49x by 7x. A. 6x3−3x+7 B. 6x3+3x−7 C. 6x2−3x+7 D. 6x2+3x−7

Suppose that $S$ is a sample space and $E, F$, and $G$ are events associated with an experiment. Write each of the following statements using set notation. 29. The event that both $E$ and $F$ occur. 30. The event that $E$ or $F$ occurs. 31. The event that both $E$ and $F$ occur but $G$ does not occur. 32. The event that neither $E$ nor $F$ occurs but $G$ does occur. 4. The choices for problem number 32 from the book are given below. a. $(E \cup F)^{c} \cap G$ b. $(E \cap F)^{c} \cup G$ c. $\left(E^{c} \cup F^{c}\right) \cap G$ d. $\left(E^{c} \cup F^{c}\right)^{c} \cap G$ e. None of the above.

What is the meaning of the algebraic expression 8x?

"Convert 2.5 tons into pounds. 2.5 T = _____ lb A. 500 lb B. 2,500 lb C. 5,000 lb D. 50 lb"

Which is bigger: a quart or one liter?

"What is 1200 micrograms in milligrams? Choose the correct option: A. 1.2 mg B. 12 mg C. 120 mg D. 1200 mg"

Minor violations may be granted upwards of ____ days for correction.

Find the mantissa of the following numbers: mantissa of 893 is mantissa of 0.089 is mantissa of -78 is mantissa of -0.0003 is

Find the value of x2 when x=5.

What type of special right triangle can an isosceles triangle be? A. 30°-60°-90° B. 45°-45°-90° C. Both a 30°-60°-90° and a 45°-45°-90° D. None

Convert 250 kilometers per hour to miles per hour. 250 kilometers per hour $\approx$

TEAS 7 MATH ACTUAL EXAM 100\% CORRECT 1. Solve the equation for the value of $x$ $7 x-6=3 x-26$ $\square-5$ $\square 5$ $\square 8$ $\square-8$

When graphing the function mc026-1.jpg on your graphing calculator, what is the most appropriate viewing window for determining the domain and range of the function?

# MATH 1324 - Homework \#2 Complete all work neatly on your own paper and not on this assignment sheet itself. All steps should be shown and your work must be easily readable. Problems without work or explanation will receive no credit. You will be turning in all homework online through D2L. ## Matrix Arithmetic Evaluate the following matrix operations, or state that there is no solution and explain why not. 1) $\left[\begin{array}{ll}3 & 1 \\ 5 & 2 \\ 10 & 4\end{array}\right]+\left[\begin{array}{ll}6 & 7 \\ 0 & 8 \\ 9 & 1\end{array}\right]$ 2) $\left[\begin{array}{ll}22 & 35 \\ 48 & 62\end{array}\right]+\left[\begin{array}{ll}14 & 27 \\ 55 & 28\end{array}\right]$ 3) $\left[\begin{array}{lll}11 & 22 & 33 \\ 44 & 55 & 66\end{array}\right]-\left[\begin{array}{lll}9 & 8 & 7 \\ 6 & 5 & 2\end{array}\right]$ 4) $\left[\begin{array}{lll}16 & 14 \\ 12 & 10 \\ 28 & 26\end{array}\right]-\left[\begin{array}{lll}13 & 12 & 11 \\ 9 & 12 & 15\end{array}\right]$ 5) $5\left[\begin{array}{cc}4 & 8 \\ -7 & 13\end{array}\right]$

Explain the steps for dividing decimals in three or four sentences.

"End Behavior of Polynomial Functions Identify the leading coefficient and degree of the polynomial function f(x)=5x2+7x−3. • Degree: 2 • Leading Coefficient: 5 • End Behavior: As x→∞, f(x)→∞; as x→−∞, f(x)→∞"

How do you know if a graph is sine or cosine?

What is the meaning of the emoji with an X in a rectangle?

What is the formula for finding the base of a triangle?

"How many grams are there in one nanogram? Enter your answer in scientific notation. For example, enter 10^5 as 1 × 10^5. 1ng=_____ g"

A circular coil 17.0 cm in radius and composed of 145 tightly wound turns carries a current of 2.30 A in the counterclockwise direction, where the plane of the coil makes an angle of 15.0° with the y axis (see figure below). The coil is free to rotate about the z axis and is placed in a region with a uniform magnetic field given by $$ \vec{B} = 1.25 \, \vec{f} \, t $$. (a) What is the magnitude of the magnetic torque on the coil? $$ \mu = 1 \, \text{N} \times \text{m} $$ (b) In what direction will the coil rotate? - clockwise as seen from the +z axis - counterclockwise as seen from the +z axis

# MECE 3338: Funwork 10 – Due Date Monday 11/13/2023 11:59 PM ## Problem 1: Consider the following system that consists of an inverted pendulum OB with mass **m = 6 kg** and length **2α** where **α = 0.5 m**. The pendulum rotates about its bottom end point O with rotational viscous friction coefficient **b_r = 8 N m s/rad** and is supported by two horizontal springs of equal stiffness **k = 100 N/m** attached at its middle point C, as shown. A horizontal spring of same stiffness **k = 100 N/m** is attached at the pendulum's top point **D**. A **displacement input z(t)** at the free end point A of the spring sets the system to motion. Small angular displacements from the vertical equilibrium position of the pendulum are considered. a) Derive the transfer function **G(s)** of the system from the **displacement input z(t)** to the **angular displacement output θ(t)** of the pendulum. Use the values of the system parameters **α, m, k** and **b_r** as stated above in the calculation of **G(s)**. b) Considering a **sinusoid displacement input z(t) = A sin(αt)** find the **worst-case excitation frequency α'** that results in the **maximum steady-state angular displacement amplitude |θ|_max** of the pendulum from its vertical equilibrium position. c) Find this **maximum angular displacement amplitude |θ|_max** if the amplitude of the sinusoid displacement input excitation is **A = 0.1 m**. d) Sketch the **magnitude Body diagram** of the transfer function **G(s)** from the displacement input **z(t)** to the angular displacement output **θ(t)** of the pendulum. e) We want to reduce the steady-state angular displacement amplitude **|θ|_max** to half of the value calculated in c), that is, **|θ'| = |θ|_max / 2**, by changing the rotational viscous friction coefficient to a new value **b_r**. What should be this **new value of the rotational viscous friction coefficient b_r'** such that at the excitation frequency **α'** calculated in b) **the steady-state angular displacement amplitude is reduced by half?** Fig (1): Vertical pendulum with pulling spring on top