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stepladder [879]
3 years ago
14

The product of a neutral number and 7 is​

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
5 0

Isn't a neutral number 0? Since it's neither negative nor positive. So if you multiply 0 by 7, it's 0...

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Tommy does 15 joules of work to push the pencil over 1 meter. How much force did he use?
AfilCa [17]
Work = Force * distance 
<span>F = W/d = 15 / 1 = 15 Newtons</span>
6 0
3 years ago
1. Your annual salary is $73, 300 and get paid bi-weekly. You are married and
r-ruslan [8.4K]
Fnfnf kenzie said i had trttttttttt
3 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 <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
six friends are going to the state fair.The cost of one admission is $9.50, and the cost for one ride on the Ferris wheel is $1.
larisa86 [58]

We are given

total number of friends =6

the cost of one admission is $9.50

now, we can find total cost for admission

total cost for admission= total number of friends*cost of one admission

total cost for admission=6*9.50

we are given

cost for one ride on the Ferris wheel is $1.50

now, we can find total cost for Ferris wheel ride

total cost for Ferris wheel ride= total number of friends*cost of one ride

total cost for Ferris wheel ride=6*1.50

now, we can find total cost

total cost =total cost for admission+total cost for Ferris wheel ride

total cost=6*9.50+6*1.50

now, we can solve it

total cost=6(9.50+1.50)

total cost=6*11

total cost=66

so, the total cost is $66...........Answer


3 0
3 years ago
charlie wants to order lunch for his friend. hell order 5 sandwiches and a $3 kids meals for his little brother. charlie has $38
maw [93]

Answer:

$7

Step-by-step explanation:

38-3=35

35/5=7

4 0
2 years ago
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