Use the laws of exponents to simplify. Write the answer with positive exponents. 4. 7 9. 1/4

Q: If the 3rd term of a geometric progression is 20 and the 6th term is 160, 1. Find the common ratio. ...

A:

Q: How do factorials work?

A: Solving the proboem by finding in which field factorial works most.

Q: Show that if ax2 + bx + c = 0 for all x, then a = b = c =0

A: It is given that, ax2+bx+c=0 for all x,  To prove a = b = c = 0  

Q: 7) Solve the inequality algebraically: x + 2 X – 4

A: We will do it by the following two cases when x>4 and for x<4.

Q: Given the following systems of equations: 2x+y-z=1 3x+2y+2z=13 4x-2y+3z=9 What is the value of U?(Us...

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Q: Let R be a relation on A = {1,2, 5, 8} and R = {(8,5), (2, 1), (5, 5), (5, 8), (2, 2), (8, 1)}. Are ...

A:

Q: Consider the following matrix: 5 2 1 B= | 2 2 2 2 1 1 a) Compute det(B) by cofactor expansion. b) Is...

A: A matrix is invertible if and only if determinant of the given matrix is non zero. Note : As per ou...

Q: (*- 3, determine the vahye of 200 10 84 12

A: Solution is here

Q: 13 X2 + 2х1 - 3x2 X4 = X3 X4 = -13 + X3 3x4 = -4 X1 0. X1 + X2 + 2хз X1 13 X2 -13 X3 -4 X4 X1 X2 X3 ...

A: The given equations are; 2x1-x2+x4=13 3x2-x3-x4=-13 x1+x3-3x4=-4 x1+x2+2x3=0.

Q: 58. Find the maximum volume of a cylinder insoribed in a core of 4 m volume. A 1.78 m R 1 R7 m C. 2....

A:

Q: Matthew runs 4 miles each day for 5 days. He ran an extra 2/3 mile the first day and an extra 3/4 mi...

A: topic - algebraic operations

Q: You were project manager of 5 identical projects and needs to designate workers for 5 identical team...

A: Given problem:- You were project manager of 5 identical projects and needs to designate workers for ...

Q: Simplify by factoring. 9 3 - 384x /- 384x° = | 9 (Simplify your answer.) %D

A:

Q: 34. Evaluate sin(1 +í) and express the result in rectangular form. A) 1.554 +0.787i B) 1.115+ 0.235 ...

A: Note that: sin (a+ib)=sin (a) cosh (b)+i cos (b) sinh (a)...(1)

Q: B. (n-1 D. (n-1 50. It is the 1/8 of the full circle. A Octa - quadrant B. Octagon C. Octant D. Octa...

A: Circle of 1/8 is a unit of angular measurement.we divide a circle into 8 parts .and thus 1/8 is call...

Q: If a and b are even then GCD(a,b) must be 2

A: Given statement :- if a and b are even then GCD(a,b) must be 2

Q: A regular pentagon has sides of 20 cm. An inner pentagon with sides of 10 cm is inside and concentri...

A:

Q: Question 4 Liquid is pouring into a vat. After t hours there are A = 5t – Vt litres in the vat. %3D ...

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Q: Express v-100 as a V-100 = complex number in standard form: a + bi Preview

A: We put a+bi=√(-100) and solve it.

Q: 1 -1 3 1 -2 0 -1 5 Find the product of matrices A = 2 and B = -3 -2

A:

Q: ) What are the real and imaginary parts of (1+i)exp(-i/4)/W2? ) What are the real and imaginary part...

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Q: Determine which property of determinants the equation illustrates. 4 -5 O If one row of a matrix is ...

A:

Q: Graph the function y = x² over the interval [-2, 2].

A: This question is based on graphing a function.

Q: 13. Domenica started to work in 2001 at an annual salary of $31,500. She received a $1000 raise each...

A: We can find the salery in 2010 as

Q: 55. The growth of a country energy consumption is 6.9%. In how many years the growth will be quadrup...

A: Given, the growth rate  = 6.9%. The  formula for the exponential growth is given by: F=a(1+r)x Here,...

Q: Not every quadratic function will have zeros. O True O False

A: The quadratic function f(x) = ax² + bx + c will have zeroes only if, ' b² - 4ac ' is greater than or...

Q: Where does the line 2æ1 + 3x2 = 4 cross the æ2 axis, i.e., æ2 intercept?

A:

Q: TRUE OR FALSE If x1 # x2, then b*1 = b*2. Conversely, if b*ı # b*2then X1 = X2 TRUE O FALSE O O

A: Topic:- algebra

Q: A coin is biased so that a head is twice as like to occur as a tail. If the coin is tossed 3 times, ...

A:

Q: The price p (in dollars) and the quantity q sold of a certain product obey the demand Equation : q ...

A:

Q: Find the sum of the coefficients of (a+2b)⁶. Using pascal triangle

A: This question is related to binomial distribution.

Q: Which of the following expressions is equivalent to In(2z + 1)°e*-?)? Choose one answer O (r – 2) In...

A: To solve the following problem

Q: TAXI Andy's Cab Service charges a $6 fee plus $0.50 per mile. His twin brother Randy starts a rival ...

A: Given that - Anty's Can Service charges a 36 fee phe $0.50 per le is twin the Randy starts a real bu...

Q: Suppose that a certain radioactive substance has a halflife of 24 years. If there are presently 6748...

A: Given query is to find the amount of substance after 50 years.

Q: x-2y = -15 12. 9x + 7y = -10

A: Question-   Solve system of linear equation by substitution

Q: Josh is driving to Miami. Let y represent his distance from Miaml (in miles). Let x represent the ti...

A: topic - speed and velocity 

Q: 6) What are the real and imaginary parts of (1+i)exp(-i,/4)/v2? 7) What are the real and imaginary p...

A:

Q: Find each product. 2) (4p - 8)(2p² - 7p+ 1)

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Q: proof that: x^8 + x^6 - 4x^4 + x^2 + 4 > 0

A:

Q: f(x)= 6x +11x+3 is a quadratic function. O True O False

A: Given query is to find that statement is true or false.

Q: use the Laws of logarithma to expand the expression  a) log(x^2+9/(x^2+2)(x^3-4)^2

A: topic- logarithmic expressions log(a/b)=log a -log b log(ab)=log a +log b log (ab)=b log a  

Q: Determine whether the matrix is elementary. If it is, state the elementary row operation used to pro...

A: topic - matrices

Q: 5. JĀN BN Č|

A:

Q: Test the series for convergence or divergence using the Alternating Series Test. 5 (-1)" - 1 In(4n +...

A: We have  to check series is convergent or not

Q: Give an inequality whose solutions are the ordered pairs (x,y) that add up to at most 5. Then graph ...

A: Given:- Give an inequality whose solutions are the ordered pairs (x,y) that add up to at most 5. The...

Q: Write an equation (any form) for the quadratic graphed below: -5 -4 -3 -2 -1 -- -2- -3 -4 y = Previe...

A:

Q: Calculate the slope of the curve f(t) = 11 sin? (t) at the point where t = 3 radians. Slope : Round ...

A:

Q: A company sells three types of products for $20, $15, and $10 per unit. In 1 year, the total revenue...

A: topic - profit and loss   

Q: 4. Given g(x)= and h(x)= Vx-4, find (goh)(x) and write its domain in interval 5-x %3D notation.

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Q: How do the graphs of y = ÷ and y = compare?

A: