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2 years ago

14

What’s the correct answer for this question?

1 answer:

Serggg [28]2 years ago

8 0

Answer:

8.

Step-by-step explanation:

A dilation means that the initial value is being <u>multiplied</u> by the value of the scale factor.

Therefore, to solve this, you would proceed with:

10× $\frac{4}{5}$ = 8.

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Which expressions are equivalent to 2(25)?

nordsb [41]

The two on the bottom

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2 years ago

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Write an expression so that when you divide ¼ by a number the quotient will be greater than 1/4.

SVETLANKA909090 [29]

Hello There!

An example of this would be:
$\frac{6}{1/4}$
6 = $\frac{6}{1}$
$\frac{6}{1} * \frac{4}{1}$
= $\frac{24}{1}$
= 24

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8 0

2 years ago

What is the volume of this prism?

Kay [80]

Answer:

62.73 rounding up 63

Step-by-step explanation:

To find volume you multiple lenght times width times height

3*3*6.97

6 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

Solution of the equation<br> 3x/5+1=4x/15+7

Anika [276]

Answer:

x = 18

Step-by-step explanation:

Given

$\frac{3x}{5}$ + 1 = $\frac{4x}{15}$ + 7 ( subtract 1 from both sides )

$\frac{3x}{5}$ = $\frac{4x}{15}$ + 6

Multiply through by 15 to clear the fractions

9x = 4x + 90 ( subtract 4x from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

4 0

2 years ago