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3 years ago

What amount should Andy write for the balance on January 30?

Mathematics

1 answer:

LenKa [72]3 years ago

4 0

104.47 + 402.71 = 507.18 <===

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How do u write 4408730 in expanded form?

STALIN [3.7K]

Do you need the expanded notation form, or expanded factor form?

5 0

3 years ago

Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:

ryzh [129]

First find the critical points of f :

$f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7$

$\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1$

$\dfrac{\partial f}{\partial y}=6y=0\implies y=0$

so the point (1, 0) is the only critical point, at which we have

$f(1,0)=-7$

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

$f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t$

Find the critical points of g :

$\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0$

$\implies\sin t=0\text{ OR }1+5\cos t=0$

$\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi$

where n is any integer. We get 4 critical points in the interval [0, 2π) at

$t=0\implies f(10,0)=155$

$t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299$

$t=\pi\implies f(-10,0)=235$

$t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299$

So f has a minimum of -7 and a maximum of 299.

4 0

3 years ago

52 is 30% of what number

DedPeter [7]

52=100%
x=30%
52/x=100%/30%
which equals to 15.6

Answer 15.6

5 0

3 years ago

Find the value of x such that l ⊥ m. A) 10.7 B) 16 C) 46 D) 48

dsp73

Answer:

Step-by-step explanation:

The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;

(3x+5)° + 37° = 90°

open the parenthesis

3x+5 + 37° = 90°

3x+42 = 90

subtract 42 from both sides of the equation

3x+42-42 = 90-42

3x = 48

Divide both sides of the resulting equation by 3;

3x/3 = 48/3

x = 16

Hence the value of x is 16°

4 0

3 years ago

WHOEVER ANSWERS FIRST GETS BRAINLIEST!!!!

Ratling [72]

Answer:

A, C and E are true.

Step-by-step explanation:

The domain is a set of natural numbers.

The recursive formula is correct:

When x = 1, f(x) = 4 and f(x + 1) = f(2) = 3/2 f(x) = 3/2 * 4 = 6.

It is also true for the other points on the graph.

D is incorrect.

E is correct exponential growth with the formula 4(3/2)^(x-1).

6 0

3 years ago