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Cloud [144]
3 years ago
5

Need help on these 2 asap

Mathematics
1 answer:
Alina [70]3 years ago
3 0
I feel like #19 is cut off...

20. 72000000 = 7.2 x 10^7

if you do 72000000.0 and move the decimal to the left until the number is less than 10, it'll be 7 spaces.
You might be interested in
Round 56,291.8 to the nearest thousand.
NeTakaya

Answer:

56,000.0

Step-by-step explanation:

The number 6 is in the nearest thousand. To round, you look at the number in front of the number you are trying to round and decide if that number is higher or lower than five. If the number is higher than 5, round up to the next highest number. If the number is lower than 5, the number stays the same.

5 0
3 years ago
Read 2 more answers
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
You are measuring the height of a Ferris wheel at an amusement
VladimirAG [237]

Answer:

154 ft

Step-by-step explanation:

A right triangle is formed, where the height of the wheel (h) is one leg,  the distance between you and the base of the wheel is the other leg, and the distance between you and the top of the wheel is the hypotenuse (the angle included between the last two sides is 51°)

From definition:

tan(51°) = opposite/adjacent

tan(51°) = h/125

h = tan(51°)*125

h = 154 ft

7 0
3 years ago
-90 = -100 + x help need answer
d1i1m1o1n [39]

Answer:

10 =x

Step-by-step explanation:

-90 = -100 + x

Add 100 to each side to isolate x

-90+100 = -100+100 + x

10 =x

4 0
2 years ago
Please help with this question, thank you :)
vovikov84 [41]

Answer:

1/2

((-2)^2-(4*2)^1/3)/abs(-2*2)

-2^2 = 4

4*2 = 8

-2*2 = -4 and abs of that is 4

4-(8)^1/3/4

8^1/3 = 2

4-2 = 2

2/4 = 1/2

Step-by-step explanation:

4 0
2 years ago
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