**Mathematics Problem** **Question 17:** Given that \( a = 4b^3 \) and \( c = 5a^2b^4 \), demonstrate that \( c = 80b^{10} \). **Question 19:** Simplify the expression \[ \frac{3x^{-1}y^5}{(2x^2y^{-2})^{-2}} \] Provide a step-by-step simplification and explanation of the expression.

Q: f2 W3 ea f3 f4 U3 e7 f6 es WA Ws e6 G' G 4.

A:

Q: 10! 9! с. 4!(10-4 )! d. 8p5 9! 10! b.

A:

Q: Which of the following scatterplots is best described as displaying a strong, positive linear…

A: A scatterplot shows a relationship between 2 variables.

Q: Parts a-f please!!

A: Note: Hey there! Thank you for the question. As you have posted multiple sub-parts, we have solved…

Q: Calculate (a +5) -č where a = (-1, 2, 3), 5= (1, 1, 1) and = (2,-2, 1)

A: Consider two vectors u→=u1, u2 and v→=v1, v2. Then the sum of these two vectors is defined by…

Q: Find A. A = (3A)-1 · [ = 10 4 21

A: We have to find A using given data.

Q: A = 8 9 -9 -1 7 -2 -7 4 -3

A:

Q: 2. (-2, 3) and (2, -1) m%3D X,- X, 1- 2 -

A: Given that (-2,3) and (2,-1)

Q: A = 0 -1 3 -7 0-5 4 7 1 0 -2 -10 0 10 6 12

A:

Q: Simplify. (10 – 4)! (10 – 4)! =

A: Given : (10-4)!

Q: -42 20 00 2 3 10 3 102 303 Evaluate D.

A:

Q: Find the area of the region below f(t), above the t axis, and between t = 0 and t = 2.

A: Given: ft=t for finding area of region below ft, first we draw graph of it as below

Q: If A = 0 . 0 -3 -1 -9] -6 3 4 ܘ ܒ ܘ ܗ then det (A) = ܗ ܐ ܘ

A: Given Matrix

Q: If b = 1, c = 2, and ZA = 60o, find a. %3D

A:

Q: а. In(3x — 5) %3D 0

A: we have to solve for the exact value of 'x' (1) ln(3x-5)=03x-5=e03x-5=13x=6x=63x= 2

Q: Everything was right except for C

A: As you said I am solving part C

Q: -4 (70 -1 1 7

A: Given,          70-1-417

Q: f. ā(0)

A: Obtain the velocity vector as shown below: vt→=ddtrt→vt→=ddtsint,t,costvt→=cost,1,-sint