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2 years ago

Numbers like 10 100 thousand and so on are called what

Mathematics

2 answers:

ohaa [14]2 years ago

6 0

They are called powers of 10.

Ugo [173]2 years ago

4 0

Powers of ten or place values

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Given the relationship x2 + 3y2 =12, with y > 0 and dx, dt = 2 units/min., find the value of dy, dt at the instant y = 1 unit

matrenka [14]

$\bf x^2+3y^2=12\implies \stackrel{chain~rule}{2x\cfrac{dx}{dt}}+3 \stackrel{chain~rule}{\left(2y\cfrac{dy}{dt}\right)}=0
\\\\\\
2x\cfrac{dx}{dt}+6y\cfrac{dy}{dt}=0
\implies 
6y\cfrac{dy}{dt}=-2x\cfrac{dx}{dt}\implies \cfrac{dy}{dt}=\cfrac{-2x\frac{dx}{dt}}{
6y\frac{dy}{dt}}
\\\\\\
\boxed{\cfrac{dy}{dt}=-\cfrac{x\frac{dx}{dt}}{3y}}\\\\
-------------------------------$

$\bf \textit{now, when y = 1, what is \underline{x}?}\qquad x^2+3y^2=12\implies x^2+3(1)^2=12
\\\\\\
x^2=9\implies x=\sqrt{9}\implies x=3\\\\
-------------------------------\\\\
\begin{cases}
y=1\\
x=3\\
\frac{dx}{dt}=2
\end{cases}\implies \cfrac{dy}{dt}=-\cfrac{3\cdot 2}{3\cdot 1}\implies \cfrac{dy}{dt}=-2$

7 0

2 years ago

Fernando had 2 children. Each of their children had 2 children, and each of these

rjkz [21]

Answer:

Step-by-step explanation:

Fernando-

Child 1- Child 2-

2 kids- 2 kids- = 4 grandchildren for Fernando

2 kids 2 kids These are his great grandchildren, not grandchildren.

7 0

2 years ago

Which of the following gives a product of x^3 - 3x ?

Vilka [71]

Answer:

Option a

Step-by-step explanation:

Lets verify

RHS

$\\ \rm\longmapsto x(x^2-3)$

Use distributive law
a(b-c)=ab-bc

$\\ \rm\longmapsto x(x^2)-3x$

$\\ \rm\longmapsto x^3-3x$

$\\ \rm\longmapsto LHS$

Hence verifed

7 0

2 years ago

Read 2 more answers

If one factor of x2 + 2x - 24 is (x+6), what is the other factor?

steposvetlana [31]

Answer:

( x - 4)

Step-by-step explanation:

x² + 2x - 24

From here, you must find the two factors of -24 (the first and third terms' coefficients multiplied together) that add up to 2 (the middle terms coefficient)

( x - 4) ( x + 6)

4 0

2 years ago

Read 2 more answers

How to solve 18-4t/.5=20

Damm [24]

Divide .5 4 then do the rest

7 0

2 years ago