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algol [13]
2 years ago
6

Hey what's

n="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
vovikov84 [41]2 years ago
8 0

Answer:

√9= either +3 or -3 when u have factorised

miv72 [106K]2 years ago
8 0

Answer:

\sqrt{9} = ±3

as, the value of the square root of 9 can be expressed as +3 and -3 or we can say the roots of 9 are +3 and -3. Number 9 is the perfect square as it fulfils the criteria .

ENGOY YOUR DAY

#Captainpower

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What is 7/4 times by 7/3
ehidna [41]

Answer:

49/12

Step-by-step explanation:

you multiply the top number by the second top number and the bottom number by the second bottom number so 7 x 7 = 49 and 4 x 3 = 12, so the answer is 49/12

7 0
3 years ago
EXAMPLE 5 If f(x, y, z) = x sin(yz), (a) find the gradient of f and (b) find the directional derivative of f at (1, 2, 0) in the
solong [7]

Answer:

<h2>a) f =  sin(yz)i + xzcos(yz)j + xycos(yz)k</h2><h2>b) -2</h2>

Step-by-step explanation:

Given f(x, y, z) = x sin(yz), the formula for calculating the gradient of the function is expressed as ∇f(x, y, z) = fx(x, y, z)i+ fy(x, y, z)j+fz(x, y, z)k where;

fx, fy and fz are the differential of the functions with respect to x, y and z respectively.

a) ∇f(x, y, z) = sin(yz)i + xzcos(yz)j + xycos(yz)k

The gradient of f =  sin(yz)i + xzcos(yz)j + xycos(yz)k

b) Directional derivative of f at (1,2,0) in the direction of v = i + 4j − k is expressed as ∇f(1, 2, 0)*v

∇f(1, 2, 0) = sin(2(0))i +1*0cos(2*0)j + 1*2cos(2*0)k

∇f(1, 2, 0) = sin0i +0cos(0)j + 2cos(0)k

∇f(1, 2, 0) = 0i +0j + 2k

Given v = i + 4j − k

∇f(1, 2, 0)*v (note that this is the dot product of the two vectors)

∇f(1, 2, 0)*v =  (0i +0j + 2k)*(i + 4j − k )

Given i.i = j.j = k.k =1 and i.j=j.i=j.k=k.j=i.k = 0

∇f(1, 2, 0)*v = 0(i.i)+4*0(j.j)+2(-1)k.k

∇f(1, 2, 0)*v = 0(1)+0(1)-2(1)

∇f(1, 2, 0)*v =0+0-2

∇f(1, 2, 0)*v= -2

 

Hence, the directional derivative of f at (1, 2, 0) in the direction of v = i + 4j − k is -2

7 0
3 years ago
Nina owns a condominium where she paid $2,340 in maintenance fees this year. If her property taxes are 18% off this amount, how
Rufina [12.5K]
2340x0.18= 421.20

She paid $421.20 in property taxes
7 0
2 years ago
You deposit $2200 into three separate bank accounts that each pay 3% annual interest. How much interest does each account earn a
Keith_Richards [23]
This can be solve using the formula:
F = P ( 1 + i)^n
where F is the money after n years
P is the initial amount of money
i is the annual interest rate
n is the time in years
since you deposit in 3 accounts P = 2200/3
F = ( 2200 / 3) ( 1 + 0.03)^6
F = $ 875.64 is the money each account earned after 6 years
7 0
3 years ago
A mechanic makes $350 /week. If 20% of his income is deducted for taxes, how muchd id the mechanic bring home as pay?
klemol [59]

Answer:

$280

Step-by-step explanation:

Step one

Given data

A mechanic makes $350 /week

20% of his income is deducted for taxes

Required

the mechanic's take-home pay for the week

Step two:

let us find 20% of $350

=20/100*350

= 0.2*350

=$70

Therefore the take-home pay is

= 350-70

= $280

8 0
3 years ago
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