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2 years ago

6

Five years ago,a father was 3 times as old as his son.Now,their combined ages amount to 110 years.Thus,the present age of the fa

ther is?

1 answer:

sattari [20]2 years ago

4 0

50 is the answer bcs yeah so yeah

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Which of the following would not have a positive exponent when written in scientific notation HELP PLEASE!!!!

Contact [7]

Answer:B

Because when 0.0023 is written in scientific notation the answer is 2.3×10-³ which a negative sign

Step-by-step explanation:

5,600,000

5,600,000÷10

560,000

560,000÷10

56,000

56,000÷10

5,600

5600÷10

560

560÷10

56

56÷10

5.6

5.6×10⁶

23÷10

2.3

2.3×10¹

560÷10

56

56÷10

5.6

5.6×10²

0.0023

0.0023×10

0.023

0.023×10

0.23

0.23×10

2.3

2.3×10-³

3 0

2 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 <em>f</em> :

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

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

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

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 <em>g</em> :

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

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

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

where <em>n</em> 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 <em>f</em> has a minimum of -7 and a maximum of 299.

4 0

2 years ago

il63 [147K]

The required value after simplification of the s = -16/3. None of these are correct.

Given that,
To simplify $[\frac{x^{2/3}x^{-1/2}}{x\sqrt{x^3}\sqrt[3]{x}}]^2$ and to find the value of s in $x^s$ .

<h3>What is simplification?</h3>

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

Simplification,

$=[\frac{x^{2/3}x^{-1/2}}{x\sqrt{x^3}\sqrt[3]{x}}]^2\\= \frac{x^{4/3}x^{-1}}{x^2x^3*{x}^{2/3}}\\= \frac{x^{1/3}}{x^{17/3}}\\=x^{-16/3}$
Comparing with $x^S$
s = -16/3

Thus, the required value of the s = -16/3. None of these are correct.

Learn more about simplification here: brainly.com/question/12501526

#SPJ1

4 0

1 year ago

2.5y; when y = -5.2

attashe74 [19]

The answer is -13. You figure it out by multiplying 2.5×-5.2=13

7 0

2 years ago

Find perimeter pt4 brainliest

Irina18 [472]

Perimeter= X + Y + W. Perimeter is the sum of all sides

8 0

2 years ago