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zaharov [31]
3 years ago
9

Evaluate d-17 when d=30​

Mathematics
2 answers:
adelina 88 [10]3 years ago
5 0

d-17

d=30

Replace d

30-17=13

3241004551 [841]3 years ago
3 0

Answer:

d-17

= 30-17

= 13

Step-by-step explanation:

Since d = 30, so d-17= 13

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so after the 10 non soloists join, there would be 60 students total and 12 of them are soloists.

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20% of the choir are soloists.

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Marina86 [1]
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3 years ago
45% of all 1st graders at Sierra Elementary School are female students. This year there are 54 female 1st graders at Sierra Elem
Anit [1.1K]

Answer:

There are 120 1st graders at Sierra Elementary School this year

Step-by-step explanation:

Let n represent the total number of 1st graders at Sierra Elementary School

Since 45% of all 1st graders at Sierra Elementary School are female students and this year there are 54 female 1st graders, 45% of n is equal to 54

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3 years ago
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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

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What is 20 7/8 in decimal form
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Answer:

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