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amid [387]
3 years ago
8

Natasha is 12 years old. Her teacher is 36 years old. Which ratio represents Natasha's age in 4 years to her teacher's age in 4

years? *
Mathematics
1 answer:
Ainat [17]3 years ago
5 0

Answer:

I’m pretty sure it’s 1:3

Step-by-step explanation:

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Alexis cell phone company charges her $35 a month for phone service plus $0.40 for each text message. How many text message does
r-ruslan [8.4K]

Answer:

$92.50

Step-by-step explanation:

$72 - $35 = 37

37 / 0.40 = 92.5

Answer = $92.50

8 0
3 years ago
Help me please ASAP!!!!!!
FrozenT [24]

Answer:

45 degrees

Step-by-step explanation:

Ok I think it is 45 degrees try that if not super sorry

3 0
2 years ago
From an airplane flying over the ocean, the angle of depression to a submarine lying under the surface if 24 degrees 10 minutes.
forsale [732]
I think is 10 m/ s per sec
4 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
3 years ago
- a. Find the common factors of 6 and 9.
Ilia_Sergeevich [38]

Answer:

3

Step-by-step explanation:

Common factors : what make up a number (they will be all prime)

6 - 2, 3

9 - 3,3

the common factor is three (its what they have in common)

3 0
2 years ago
Read 2 more answers
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