(6x10^6) / (2x10^3) solve?

Answers

Answer 1

Answer:

Answer:

3x^999000

Explantiotn

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Which of the following is equivalent to (4x²)³ ?A. 64x⁸
B. 12x⁵
C. 12x⁶
D. 4x⁵
E. 4x⁶
Can someone explain this one for me?

Answers

$\left(4x^2\right)^3=4^3\left(x^2\right)^3=64x^(2\cdot3)=64x^6$

Three times one number added to five times another number is 54. The second number is two less than the first. Use a system of equations to find the numbers.

Answers

3x + 5y = 54

y = x - 2
________________________________________________________
3x + 5(x - 2) = 54
3x + 5x -10 = 54
8x = 64
x = 8

y = x - 2
y = 8 - 2
y = 6

What is the solution to the following bernoulli de?\[t^2 dy/dx+y^2=ty\]
It looks like it is homogenous because if you divide through by \[t^2\] it will be \[y/t\] all over. Also if it's a bernoulli, wouldn't \[v=y\], which isn't very useful. Any thoughts?

Answers

Here t is constant only x and y are variables so it reduces to

dy/ty-y^2 = 1/t^2(dx)

just solve it taking t as constant.

hope this helps

Which expression is equivalent to cot t sec t?a.csc t
b.sin t
c.tan t
d.sin^2 t
e.csc^2 t

Answers

$\cot t \sec t=(\cos t)/(\sin t)\cdot(1)/(\cos t)=(1)/(\sin t)=\csc t$

The answer is "A" "csc t"

Line SU bisects angle RST. Which statement is NOT true?A) ∠RST = ∠RSU
B) ∠RSU = ∠UST
C) ∠SQU = ∠SPU
D) PS = QS

Answers

In geometry, the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle.
so the answer is B

Answer : The incorrect option is, (A) ∠RST = ∠RSU

Step-by-step explanation :

As we are given that, line SU bisects angle RST and SPUQ is a rhombus.

First we have to determine that ΔSQU and ΔSPU are congruent triangles.

Proof:

Side SU = Side SU (common side)

∠SQU = ∠SPU (In rhombus opposite angle are always equal)

∠RSU = ∠UST (angle bisector)

ΔSQU ≅ ΔSPU (By ASA congruency)

So, Side PS = Side QS

∠RST = ∠RSU this option is wrong because $\angle RSU=(1)/(2)\angle RST$